%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRA155-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 06:34:10 PM UTC 2026
% Result : Unsatisfiable 2.44s 2.67s
% Output : Proof 4.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA155-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 00:02:27 EDT 2026
% 0.14/0.33 % CPUTime :
% 2.44/2.67 % SZS status Unsatisfiable
% 2.44/2.67 % SZS output start Proof
% 2.44/2.67 tff(b_type, type, (
% 2.44/2.67 b: ( $i * $i ) > $o)).
% 2.44/2.67 tff(s_type, type, (
% 2.44/2.67 s: $i > $i)).
% 2.44/2.67 tff(z_type, type, (
% 2.44/2.67 z: $i)).
% 2.44/2.67 tff(r_type, type, (
% 2.44/2.67 r: ( $i * $i ) > $o)).
% 2.44/2.67 tff(inj_0_type, type, (
% 2.44/2.67 inj_0: $i > $i)).
% 2.44/2.67 tff(elem_1_type, type, (
% 2.44/2.67 elem_1: $i)).
% 2.44/2.67 tff(1,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.67 tff(2,plain,
% 2.44/2.67 ((s(s(s(s(z)))) = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 2.44/2.67 inference(commutativity,[status(thm)],[])).
% 2.44/2.67 tff(3,plain,
% 2.44/2.67 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(z)))))))) <=> (~(s(s(s(s(s(s(z)))))) = s(s(s(s(z))))))),
% 2.44/2.67 inference(monotonicity,[status(thm)],[2])).
% 2.44/2.67 tff(4,plain,
% 2.44/2.67 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.44/2.67 inference(rewrite,[status(thm)],[])).
% 2.44/2.67 tff(5,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.44/2.67 inference(rewrite,[status(thm)],[])).
% 2.44/2.67 tff(6,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.44/2.67 inference(rewrite,[status(thm)],[])).
% 2.44/2.67 tff(7,axiom,(![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sinj')).
% 2.44/2.67 tff(8,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[7, 6])).
% 2.44/2.67 tff(9,plain,(
% 2.44/2.67 ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.44/2.67 inference(skolemize,[status(sab)],[8])).
% 2.44/2.67 tff(10,plain,
% 2.44/2.67 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[9, 5])).
% 2.44/2.67 tff(11,plain,
% 2.44/2.67 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[10, 4])).
% 2.44/2.67 tff(12,plain,
% 2.44/2.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(z)))) = s(s(z)))),
% 2.44/2.67 inference(quant_inst,[status(thm)],[])).
% 2.44/2.67 tff(13,plain,
% 2.44/2.67 (inj_0(s(s(s(z)))) = s(s(z))),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[12, 11])).
% 2.44/2.67 tff(14,plain,
% 2.44/2.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(z))))))) = s(s(s(s(s(z))))))),
% 2.44/2.67 inference(quant_inst,[status(thm)],[])).
% 2.44/2.67 tff(15,plain,
% 2.44/2.67 (inj_0(s(s(s(s(s(s(z))))))) = s(s(s(s(s(z)))))),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[14, 11])).
% 2.44/2.67 tff(16,assumption,(s(s(s(s(z)))) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.67 tff(17,plain,
% 2.44/2.67 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.44/2.67 inference(monotonicity,[status(thm)],[16])).
% 2.44/2.67 tff(18,plain,
% 2.44/2.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(z))))) = s(s(s(z))))),
% 2.44/2.67 inference(quant_inst,[status(thm)],[])).
% 2.44/2.67 tff(19,plain,
% 2.44/2.67 (inj_0(s(s(s(s(z))))) = s(s(s(z)))),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[18, 11])).
% 2.44/2.67 tff(20,plain,
% 2.44/2.67 (s(s(s(z))) = inj_0(s(s(s(s(z)))))),
% 2.44/2.67 inference(symmetry,[status(thm)],[19])).
% 2.44/2.67 tff(21,plain,
% 2.44/2.67 (s(s(s(z))) = s(s(s(s(s(z)))))),
% 2.44/2.67 inference(transitivity,[status(thm)],[20, 17, 15])).
% 2.44/2.67 tff(22,plain,
% 2.44/2.67 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(z))))))),
% 2.44/2.67 inference(monotonicity,[status(thm)],[21])).
% 2.44/2.67 tff(23,plain,
% 2.44/2.67 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(s(z))))),
% 2.44/2.67 inference(symmetry,[status(thm)],[22])).
% 2.44/2.67 tff(24,plain,
% 2.44/2.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 2.44/2.67 inference(quant_inst,[status(thm)],[])).
% 2.44/2.67 tff(25,plain,
% 2.44/2.67 (inj_0(s(s(s(s(s(z)))))) = s(s(s(s(z))))),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[24, 11])).
% 2.44/2.67 tff(26,plain,
% 2.44/2.67 (s(s(s(s(z)))) = inj_0(s(s(s(s(s(z))))))),
% 2.44/2.67 inference(symmetry,[status(thm)],[25])).
% 2.44/2.67 tff(27,plain,
% 2.44/2.67 (s(s(s(s(z)))) = s(s(z))),
% 2.44/2.67 inference(transitivity,[status(thm)],[26, 23, 13])).
% 2.44/2.67 tff(28,plain,
% 2.44/2.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(z)) = z)),
% 2.44/2.67 inference(quant_inst,[status(thm)],[])).
% 2.44/2.67 tff(29,plain,
% 2.44/2.67 (inj_0(s(z)) = z),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[28, 11])).
% 2.44/2.67 tff(30,assumption,(s(s(s(s(z)))) = s(s(z))), introduced(assumption)).
% 2.44/2.67 tff(31,plain,
% 2.44/2.67 (inj_0(s(s(s(s(z))))) = inj_0(s(s(z)))),
% 2.44/2.67 inference(monotonicity,[status(thm)],[30])).
% 2.44/2.67 tff(32,plain,
% 2.44/2.67 (inj_0(s(s(z))) = inj_0(s(s(s(s(z)))))),
% 2.44/2.67 inference(symmetry,[status(thm)],[31])).
% 2.44/2.67 tff(33,plain,
% 2.44/2.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(z))) = s(z))),
% 2.44/2.67 inference(quant_inst,[status(thm)],[])).
% 2.44/2.67 tff(34,plain,
% 2.44/2.67 (inj_0(s(s(z))) = s(z)),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[33, 11])).
% 2.44/2.67 tff(35,plain,
% 2.44/2.67 (s(z) = inj_0(s(s(z)))),
% 2.44/2.67 inference(symmetry,[status(thm)],[34])).
% 2.44/2.67 tff(36,plain,
% 2.44/2.67 (s(z) = s(s(s(z)))),
% 2.44/2.67 inference(transitivity,[status(thm)],[35, 32, 19])).
% 2.44/2.67 tff(37,plain,
% 2.44/2.67 (inj_0(s(z)) = inj_0(s(s(s(z))))),
% 2.44/2.67 inference(monotonicity,[status(thm)],[36])).
% 2.44/2.67 tff(38,plain,
% 2.44/2.67 (inj_0(s(s(s(z)))) = inj_0(s(z))),
% 2.44/2.67 inference(symmetry,[status(thm)],[37])).
% 2.44/2.67 tff(39,plain,
% 2.44/2.67 (s(s(z)) = inj_0(s(s(s(z))))),
% 2.44/2.67 inference(symmetry,[status(thm)],[13])).
% 2.44/2.67 tff(40,plain,
% 2.44/2.67 (s(s(z)) = z),
% 2.44/2.67 inference(transitivity,[status(thm)],[39, 38, 29])).
% 2.44/2.67 tff(41,plain,
% 2.44/2.67 (^[X: $i] : refl((~(s(X) = z)) <=> (~(s(X) = z)))),
% 2.44/2.67 inference(bind,[status(th)],[])).
% 2.44/2.67 tff(42,plain,
% 2.44/2.67 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 2.44/2.67 inference(quant_intro,[status(thm)],[41])).
% 2.44/2.67 tff(43,plain,
% 2.44/2.67 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 2.44/2.67 inference(rewrite,[status(thm)],[])).
% 2.44/2.67 tff(44,axiom,(![X: $i] : (~(s(X) = z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','snz')).
% 2.44/2.67 tff(45,plain,
% 2.44/2.67 (![X: $i] : (~(s(X) = z))),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[44, 43])).
% 2.44/2.67 tff(46,plain,(
% 2.44/2.67 ![X: $i] : (~(s(X) = z))),
% 2.44/2.67 inference(skolemize,[status(sab)],[45])).
% 2.44/2.67 tff(47,plain,
% 2.44/2.67 (![X: $i] : (~(s(X) = z))),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[46, 42])).
% 2.44/2.67 tff(48,plain,
% 2.44/2.67 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(z)) = z))),
% 2.44/2.67 inference(quant_inst,[status(thm)],[])).
% 2.44/2.67 tff(49,plain,
% 2.44/2.67 (~(s(s(z)) = z)),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[48, 47])).
% 2.44/2.67 tff(50,plain,
% 2.44/2.67 ($false),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[49, 40])).
% 2.44/2.67 tff(51,plain,(~(s(s(s(s(z)))) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.67 tff(52,plain,
% 2.44/2.67 ($false),
% 2.44/2.67 inference(unit_resolution,[status(thm)],[51, 27])).
% 2.44/2.67 tff(53,plain,(~(s(s(s(s(z)))) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.67 tff(54,plain,
% 2.44/2.67 (~(s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[53, 3])).
% 2.44/2.67 tff(55,plain,
% 2.44/2.67 (^[Y: $i, X: $i] : refl(((X = Y) | b(X, Y) | r(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 2.44/2.67 inference(bind,[status(th)],[])).
% 2.44/2.67 tff(56,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.44/2.67 inference(quant_intro,[status(thm)],[55])).
% 2.44/2.67 tff(57,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.44/2.67 inference(rewrite,[status(thm)],[])).
% 2.44/2.67 tff(58,plain,
% 2.44/2.67 (^[Y: $i, X: $i] : rewrite((((X = Y) | r(X, Y)) | b(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 2.44/2.67 inference(bind,[status(th)],[])).
% 2.44/2.67 tff(59,plain,
% 2.44/2.67 (![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.44/2.67 inference(quant_intro,[status(thm)],[58])).
% 2.44/2.67 tff(60,axiom,(![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','rb')).
% 2.44/2.67 tff(61,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[60, 59])).
% 2.44/2.67 tff(62,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[61, 57])).
% 2.44/2.67 tff(63,plain,(
% 2.44/2.67 ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.44/2.67 inference(skolemize,[status(sab)],[62])).
% 2.44/2.67 tff(64,plain,
% 2.44/2.67 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.44/2.67 inference(modus_ponens,[status(thm)],[63, 56])).
% 2.44/2.67 tff(65,plain,
% 2.44/2.67 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | r(s(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(s(z)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.44/2.67 inference(rewrite,[status(thm)],[])).
% 2.44/2.67 tff(66,plain,
% 2.44/2.67 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(67,plain,
% 2.44/2.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[66, 65])).
% 2.44/2.68 tff(68,plain,
% 2.44/2.68 ((s(s(s(s(s(s(z)))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[67, 64])).
% 2.44/2.68 tff(69,plain,
% 2.44/2.68 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[68, 54])).
% 2.44/2.68 tff(70,plain,
% 2.44/2.68 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[69, 1])).
% 2.44/2.68 tff(71,assumption,(r(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 2.44/2.68 tff(72,assumption,(b(s(z), z)), introduced(assumption)).
% 2.44/2.68 tff(73,assumption,(r(s(s(s(s(s(z))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(74,assumption,(b(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.44/2.68 tff(75,assumption,(r(z, s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(76,assumption,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(77,assumption,(b(s(s(s(s(s(z))))), s(z))), introduced(assumption)).
% 2.44/2.68 tff(78,assumption,(~b(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(79,assumption,(b(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 2.44/2.68 tff(80,assumption,(r(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(81,assumption,(b(z, s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(82,plain,
% 2.44/2.68 (^[X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) <=> ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))))),
% 2.44/2.68 inference(bind,[status(th)],[])).
% 2.44/2.68 tff(83,plain,
% 2.44/2.68 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.44/2.68 inference(quant_intro,[status(thm)],[82])).
% 2.44/2.68 tff(84,plain,
% 2.44/2.68 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(85,plain,
% 2.44/2.68 (^[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(X1, X4))) <=> (((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X1, X4))))), rewrite((((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X1, X4))) <=> ((~b(X1, 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(X1, X4))) <=> ((~b(X1, 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(X1, X4))) | (~b(X3, X4))) <=> (((~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))))), rewrite((((~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X1, 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(X1, X4))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))))),
% 2.44/2.68 inference(bind,[status(th)],[])).
% 2.44/2.68 tff(86,plain,
% 2.44/2.68 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X1, X4))) | (~b(X3, X4))) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.44/2.68 inference(quant_intro,[status(thm)],[85])).
% 2.44/2.68 tff(87,axiom,(![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X1, X4))) | (~b(X3, X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axb')).
% 2.44/2.68 tff(88,plain,
% 2.44/2.68 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[87, 86])).
% 2.44/2.68 tff(89,plain,
% 2.44/2.68 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[88, 84])).
% 2.44/2.68 tff(90,plain,(
% 2.44/2.68 ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.44/2.68 inference(skolemize,[status(sab)],[89])).
% 2.44/2.68 tff(91,plain,
% 2.44/2.68 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[90, 83])).
% 2.44/2.68 tff(92,plain,
% 2.44/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(93,plain,
% 2.44/2.68 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(94,plain,
% 2.44/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 2.44/2.68 inference(monotonicity,[status(thm)],[93])).
% 2.44/2.68 tff(95,plain,
% 2.44/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 2.44/2.68 inference(transitivity,[status(thm)],[94, 92])).
% 2.44/2.68 tff(96,plain,
% 2.44/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(97,plain,
% 2.44/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[96, 95])).
% 2.44/2.68 tff(98,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[97, 91, 77, 79, 81, 72])).
% 2.44/2.68 tff(99,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(100,plain,
% 2.44/2.68 (~b(z, s(s(s(s(s(z))))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[99, 79, 72, 77])).
% 2.44/2.68 tff(101,assumption,(~b(z, s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(102,assumption,(z = s(s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(103,plain,
% 2.44/2.68 (s(s(s(s(s(z))))) = z),
% 2.44/2.68 inference(symmetry,[status(thm)],[102])).
% 2.44/2.68 tff(104,plain,
% 2.44/2.68 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(z))))) = z))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(105,plain,
% 2.44/2.68 (~(s(s(s(s(s(z))))) = z)),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[104, 47])).
% 2.44/2.68 tff(106,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[105, 103])).
% 2.44/2.68 tff(107,plain,(~(z = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(108,assumption,(~r(z, s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(109,plain,
% 2.44/2.68 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(z)))))) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(s(z)))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(s(z)))))) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(s(z)))))))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(110,plain,
% 2.44/2.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(z)))))) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(s(z)))))))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(111,plain,
% 2.44/2.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(s(z)))))) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(s(z))))))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[110, 109])).
% 2.44/2.68 tff(112,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[111, 64, 108, 107, 101])).
% 2.44/2.68 tff(113,plain,(b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(114,plain,
% 2.44/2.68 (r(z, s(s(s(s(s(z))))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[113, 100])).
% 2.44/2.68 tff(115,assumption,(r(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(116,plain,
% 2.44/2.68 (^[X0: $i, X3: $i, X2: $i, X1: $i] : refl(((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))))),
% 2.44/2.68 inference(bind,[status(th)],[])).
% 2.44/2.68 tff(117,plain,
% 2.44/2.68 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.44/2.68 inference(quant_intro,[status(thm)],[116])).
% 2.44/2.68 tff(118,plain,
% 2.44/2.68 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(119,plain,
% 2.44/2.68 (^[X0: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) <=> ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))), (((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) <=> (((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X0, X3))))), rewrite((((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X0, X3))) <=> ((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))), (((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) <=> ((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))))), ((((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) | (~r(X2, X3))) <=> (((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X2, X3))))), rewrite((((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X2, X3))) <=> ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))), ((((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) | (~r(X2, X3))) <=> ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))))),
% 2.44/2.68 inference(bind,[status(th)],[])).
% 2.44/2.68 tff(120,plain,
% 2.44/2.68 (![X0: $i, X3: $i, X2: $i, X1: $i] : (((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) | (~r(X2, X3))) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.44/2.68 inference(quant_intro,[status(thm)],[119])).
% 2.44/2.68 tff(121,axiom,(![X0: $i, X3: $i, X2: $i, X1: $i] : (((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) | (~r(X2, X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axr')).
% 2.44/2.68 tff(122,plain,
% 2.44/2.68 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[121, 120])).
% 2.44/2.68 tff(123,plain,
% 2.44/2.68 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[122, 118])).
% 2.44/2.68 tff(124,plain,(
% 2.44/2.68 ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.44/2.68 inference(skolemize,[status(sab)],[123])).
% 2.44/2.68 tff(125,plain,
% 2.44/2.68 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[124, 117])).
% 2.44/2.68 tff(126,plain,
% 2.44/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(127,plain,
% 2.44/2.68 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(128,plain,
% 2.44/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.44/2.68 inference(monotonicity,[status(thm)],[127])).
% 2.44/2.68 tff(129,plain,
% 2.44/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.68 inference(transitivity,[status(thm)],[128, 126])).
% 2.44/2.68 tff(130,plain,
% 2.44/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(131,plain,
% 2.44/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[130, 129])).
% 2.44/2.68 tff(132,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[131, 125, 75, 80, 73, 115])).
% 2.44/2.68 tff(133,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(134,plain,
% 2.44/2.68 (~r(z, s(s(s(s(z)))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[133, 115, 73, 114])).
% 2.44/2.68 tff(135,assumption,(r(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(136,assumption,(r(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(137,plain,
% 2.44/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(138,plain,
% 2.44/2.68 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(139,plain,
% 2.44/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.44/2.68 inference(monotonicity,[status(thm)],[138])).
% 2.44/2.68 tff(140,plain,
% 2.44/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.68 inference(transitivity,[status(thm)],[139, 137])).
% 2.44/2.68 tff(141,plain,
% 2.44/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(142,plain,
% 2.44/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[141, 140])).
% 2.44/2.68 tff(143,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[142, 125, 135, 73, 115, 136])).
% 2.44/2.68 tff(144,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(145,plain,
% 2.44/2.68 (~r(s(z), s(s(s(s(s(z))))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[144, 135, 73, 115])).
% 2.44/2.68 tff(146,assumption,(s(z) = s(s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(147,plain,
% 2.44/2.68 (s(s(s(s(s(z))))) = s(z)),
% 2.44/2.68 inference(symmetry,[status(thm)],[146])).
% 2.44/2.68 tff(148,assumption,(s(s(s(s(s(z))))) = s(z)), introduced(assumption)).
% 2.44/2.68 tff(149,plain,
% 2.44/2.68 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(z))),
% 2.44/2.68 inference(monotonicity,[status(thm)],[148])).
% 2.44/2.68 tff(150,plain,
% 2.44/2.68 (s(s(s(s(z)))) = z),
% 2.44/2.68 inference(transitivity,[status(thm)],[26, 149, 29])).
% 2.44/2.68 tff(151,plain,
% 2.44/2.68 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(z)))) = z))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(152,plain,
% 2.44/2.68 (~(s(s(s(s(z)))) = z)),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[151, 47])).
% 2.44/2.68 tff(153,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[152, 150])).
% 2.44/2.68 tff(154,plain,(~(s(s(s(s(s(z))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(155,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[154, 147])).
% 2.44/2.68 tff(156,plain,(~(s(z) = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(157,assumption,(~r(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(158,assumption,(~b(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(159,plain,
% 2.44/2.68 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(s(z)))))) | b(s(z), s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z)))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(z)))))) | b(s(z), s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z)))))))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(160,plain,
% 2.44/2.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(s(z)))))) | b(s(z), s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z)))))))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(161,plain,
% 2.44/2.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(z)))))) | b(s(z), s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z))))))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[160, 159])).
% 2.44/2.68 tff(162,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[161, 64, 158, 157, 156])).
% 2.44/2.68 tff(163,plain,(b(s(z), s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(164,plain,
% 2.44/2.68 (b(s(z), s(s(s(s(s(z))))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[163, 145])).
% 2.44/2.68 tff(165,assumption,(z = s(s(s(s(z))))), introduced(assumption)).
% 2.44/2.68 tff(166,plain,
% 2.44/2.68 (s(s(s(s(z)))) = z),
% 2.44/2.68 inference(symmetry,[status(thm)],[165])).
% 2.44/2.68 tff(167,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[152, 166])).
% 2.44/2.68 tff(168,plain,(~(z = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(169,assumption,(~r(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(170,plain,
% 2.44/2.68 (((~![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))))))),
% 2.44/2.68 inference(rewrite,[status(thm)],[])).
% 2.44/2.68 tff(171,plain,
% 2.44/2.68 ((~![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))))))),
% 2.44/2.68 inference(quant_inst,[status(thm)],[])).
% 2.44/2.68 tff(172,plain,
% 2.44/2.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))),
% 2.44/2.68 inference(modus_ponens,[status(thm)],[171, 170])).
% 2.44/2.68 tff(173,plain,
% 2.44/2.68 ($false),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[172, 64, 78, 169, 168])).
% 2.44/2.68 tff(174,plain,(b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.68 tff(175,plain,
% 2.44/2.68 (b(z, s(s(s(s(z)))))),
% 2.44/2.68 inference(unit_resolution,[status(thm)],[174, 134])).
% 2.44/2.68 tff(176,assumption,(b(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.68 tff(177,assumption,(b(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 2.44/2.68 tff(178,assumption,(b(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.68 tff(179,plain,
% 2.44/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(180,plain,
% 2.44/2.69 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~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(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(181,plain,
% 2.44/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~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(X1, 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(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[180])).
% 2.44/2.69 tff(182,plain,
% 2.44/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~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(X1, 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(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.44/2.69 inference(transitivity,[status(thm)],[181, 179])).
% 2.44/2.69 tff(183,plain,
% 2.44/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~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))))))))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(184,plain,
% 2.44/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[183, 182])).
% 2.44/2.69 tff(185,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[184, 91, 77, 79, 176, 178, 177, 72])).
% 2.44/2.69 tff(186,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(187,plain,
% 2.44/2.69 (~b(s(s(s(s(z)))), s(z))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[186, 176, 79, 77, 175, 72])).
% 2.44/2.69 tff(188,assumption,(s(s(s(s(z)))) = s(z)), introduced(assumption)).
% 2.44/2.69 tff(189,plain,
% 2.44/2.69 (s(z) = s(s(s(s(z))))),
% 2.44/2.69 inference(symmetry,[status(thm)],[188])).
% 2.44/2.69 tff(190,plain,
% 2.44/2.69 (inj_0(s(z)) = inj_0(s(s(s(s(z)))))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[189])).
% 2.44/2.69 tff(191,plain,
% 2.44/2.69 (inj_0(s(s(s(s(z))))) = inj_0(s(z))),
% 2.44/2.69 inference(symmetry,[status(thm)],[190])).
% 2.44/2.69 tff(192,plain,
% 2.44/2.69 (s(s(s(z))) = z),
% 2.44/2.69 inference(transitivity,[status(thm)],[20, 191, 29])).
% 2.44/2.69 tff(193,plain,
% 2.44/2.69 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(z))) = z))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(194,plain,
% 2.44/2.69 (~(s(s(s(z))) = z)),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[193, 47])).
% 2.44/2.69 tff(195,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[194, 192])).
% 2.44/2.69 tff(196,plain,(~(s(s(s(s(z)))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(197,plain,
% 2.44/2.69 (((~![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)))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(198,plain,
% 2.44/2.69 ((~![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)))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(199,plain,
% 2.44/2.69 ((~![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))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[198, 197])).
% 2.44/2.69 tff(200,plain,
% 2.44/2.69 ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[199, 64])).
% 2.44/2.69 tff(201,plain,
% 2.44/2.69 (b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[200, 196])).
% 2.44/2.69 tff(202,plain,
% 2.44/2.69 (r(s(s(s(s(z)))), s(z))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[201, 187])).
% 2.44/2.69 tff(203,assumption,(r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.69 tff(204,assumption,(r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.69 tff(205,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(206,plain,
% 2.44/2.69 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(207,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[206])).
% 2.44/2.69 tff(208,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.44/2.69 inference(transitivity,[status(thm)],[207, 205])).
% 2.44/2.69 tff(209,plain,
% 2.44/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(210,plain,
% 2.44/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[209, 208])).
% 2.44/2.69 tff(211,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[210, 125, 203, 204, 73, 115])).
% 2.44/2.69 tff(212,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(213,plain,
% 2.44/2.69 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[212, 203, 73, 115])).
% 2.44/2.69 tff(214,plain,
% 2.44/2.69 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[69, 213])).
% 2.44/2.69 tff(215,assumption,(r(z, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.44/2.69 tff(216,assumption,(r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.44/2.69 tff(217,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(218,plain,
% 2.44/2.69 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(219,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[218])).
% 2.44/2.69 tff(220,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.44/2.69 inference(transitivity,[status(thm)],[219, 217])).
% 2.44/2.69 tff(221,plain,
% 2.44/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(222,plain,
% 2.44/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[221, 220])).
% 2.44/2.69 tff(223,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[222, 125, 75, 203, 215, 216])).
% 2.44/2.69 tff(224,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(225,plain,
% 2.44/2.69 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[224, 215, 203, 114])).
% 2.44/2.69 tff(226,assumption,(~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.44/2.69 tff(227,assumption,(s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.69 tff(228,plain,
% 2.44/2.69 (s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))),
% 2.44/2.69 inference(symmetry,[status(thm)],[227])).
% 2.44/2.69 tff(229,assumption,(s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.69 tff(230,plain,
% 2.44/2.69 (s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))),
% 2.44/2.69 inference(symmetry,[status(thm)],[229])).
% 2.44/2.69 tff(231,plain,
% 2.44/2.69 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[230])).
% 2.44/2.69 tff(232,plain,
% 2.44/2.69 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(s(s(s(z))))))),
% 2.44/2.69 inference(symmetry,[status(thm)],[231])).
% 2.44/2.69 tff(233,plain,
% 2.44/2.69 (s(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.44/2.69 inference(symmetry,[status(thm)],[15])).
% 2.44/2.69 tff(234,plain,
% 2.44/2.69 (s(s(s(s(s(s(z)))))) = s(s(s(s(z))))),
% 2.44/2.69 inference(transitivity,[status(thm)],[229, 233, 232, 25])).
% 2.44/2.69 tff(235,assumption,(~(s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))), introduced(assumption)).
% 2.44/2.69 tff(236,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[235, 234])).
% 2.44/2.69 tff(237,plain,((~(s(s(s(s(s(s(z)))))) = s(s(s(s(s(z))))))) | (s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(238,plain,
% 2.44/2.69 (~(s(s(s(s(s(s(z)))))) = s(s(s(s(s(z))))))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[237, 54])).
% 2.44/2.69 tff(239,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[238, 228])).
% 2.44/2.69 tff(240,plain,(~(s(s(s(s(s(z))))) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(241,assumption,(~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.44/2.69 tff(242,plain,
% 2.44/2.69 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(s(z))))), s(s(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(s(s(z))))))) | b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(243,plain,
% 2.44/2.69 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(244,plain,
% 2.44/2.69 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[243, 242])).
% 2.44/2.69 tff(245,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[244, 64, 241, 240, 226])).
% 2.44/2.69 tff(246,plain,(b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(247,plain,
% 2.44/2.69 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[246, 225])).
% 2.44/2.69 tff(248,plain,
% 2.44/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(249,plain,
% 2.44/2.69 (((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(250,plain,
% 2.44/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[249])).
% 2.44/2.69 tff(251,plain,
% 2.44/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.44/2.69 inference(transitivity,[status(thm)],[250, 248])).
% 2.44/2.69 tff(252,plain,
% 2.44/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(253,plain,
% 2.44/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[252, 251])).
% 2.44/2.69 tff(254,plain,
% 2.44/2.69 (~b(z, s(z))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[253, 91, 77, 79, 178, 72])).
% 2.44/2.69 tff(255,assumption,(z = s(z)), introduced(assumption)).
% 2.44/2.69 tff(256,plain,
% 2.44/2.69 (s(z) = z),
% 2.44/2.69 inference(symmetry,[status(thm)],[255])).
% 2.44/2.69 tff(257,plain,
% 2.44/2.69 ((~![X: $i] : (~(s(X) = z))) | (~(s(z) = z))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(258,plain,
% 2.44/2.69 (~(s(z) = z)),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[257, 47])).
% 2.44/2.69 tff(259,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[258, 256])).
% 2.44/2.69 tff(260,plain,(~(z = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(261,assumption,(~r(z, s(z))), introduced(assumption)).
% 2.44/2.69 tff(262,assumption,(~b(z, s(z))), introduced(assumption)).
% 2.44/2.69 tff(263,plain,
% 2.44/2.69 (((~![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)))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(264,plain,
% 2.44/2.69 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(z)) | b(z, s(z)) | r(z, s(z)))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(265,plain,
% 2.44/2.69 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(z)) | b(z, s(z)) | r(z, s(z))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[264, 263])).
% 2.44/2.69 tff(266,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[265, 64, 262, 261, 260])).
% 2.44/2.69 tff(267,plain,(b(z, s(z)) | r(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(268,plain,
% 2.44/2.69 (r(z, s(z))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[267, 254])).
% 2.44/2.69 tff(269,assumption,(r(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.44/2.69 tff(270,assumption,(r(z, s(z))), introduced(assumption)).
% 2.44/2.69 tff(271,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(272,plain,
% 2.44/2.69 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 2.44/2.69 inference(rewrite,[status(thm)],[])).
% 2.44/2.69 tff(273,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[272])).
% 2.44/2.69 tff(274,plain,
% 2.44/2.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 2.44/2.69 inference(transitivity,[status(thm)],[273, 271])).
% 2.44/2.69 tff(275,plain,
% 2.44/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 2.44/2.69 inference(quant_inst,[status(thm)],[])).
% 2.44/2.69 tff(276,plain,
% 2.44/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))),
% 2.44/2.69 inference(modus_ponens,[status(thm)],[275, 274])).
% 2.44/2.69 tff(277,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[276, 125, 75, 203, 215, 270, 269])).
% 2.44/2.69 tff(278,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(279,plain,
% 2.44/2.69 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[278, 215, 268, 203, 114])).
% 2.44/2.69 tff(280,assumption,(~b(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.44/2.69 tff(281,assumption,(s(z) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.44/2.69 tff(282,plain,
% 2.44/2.69 (s(s(s(s(s(s(z)))))) = s(z)),
% 2.44/2.69 inference(symmetry,[status(thm)],[281])).
% 2.44/2.69 tff(283,assumption,(s(s(s(s(s(s(z)))))) = s(z)), introduced(assumption)).
% 2.44/2.69 tff(284,plain,
% 2.44/2.69 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(z))),
% 2.44/2.69 inference(monotonicity,[status(thm)],[283])).
% 2.44/2.69 tff(285,plain,
% 2.44/2.69 (s(s(s(s(s(z))))) = z),
% 2.44/2.69 inference(transitivity,[status(thm)],[233, 284, 29])).
% 2.44/2.69 tff(286,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[105, 285])).
% 2.44/2.69 tff(287,plain,(~(s(s(s(s(s(s(z)))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.69 tff(288,plain,
% 2.44/2.69 ($false),
% 2.44/2.69 inference(unit_resolution,[status(thm)],[287, 282])).
% 2.54/2.70 tff(289,plain,(~(s(z) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(290,assumption,(~r(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(291,plain,
% 2.54/2.70 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(292,plain,
% 2.54/2.70 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.70 inference(quant_inst,[status(thm)],[])).
% 2.54/2.70 tff(293,plain,
% 2.54/2.70 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))),
% 2.54/2.70 inference(modus_ponens,[status(thm)],[292, 291])).
% 2.54/2.70 tff(294,plain,
% 2.54/2.70 ($false),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[293, 64, 290, 289, 280])).
% 2.54/2.70 tff(295,plain,(r(s(z), s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(296,plain,
% 2.54/2.70 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[295, 279])).
% 2.54/2.70 tff(297,assumption,(b(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(298,assumption,(b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(299,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(300,plain,
% 2.54/2.70 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(301,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 2.54/2.70 inference(monotonicity,[status(thm)],[300])).
% 2.54/2.70 tff(302,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.70 inference(transitivity,[status(thm)],[301, 299])).
% 2.54/2.70 tff(303,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.54/2.70 inference(quant_inst,[status(thm)],[])).
% 2.54/2.70 tff(304,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 2.54/2.70 inference(modus_ponens,[status(thm)],[303, 302])).
% 2.54/2.70 tff(305,plain,
% 2.54/2.70 ($false),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[304, 91, 77, 76, 74, 72, 298, 297])).
% 2.54/2.70 tff(306,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(307,plain,
% 2.54/2.70 (~b(s(s(s(s(z)))), z)),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[306, 247, 76, 72, 77, 296])).
% 2.54/2.70 tff(308,assumption,(~r(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.54/2.70 tff(309,assumption,(~b(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.54/2.70 tff(310,plain,
% 2.54/2.70 (((~![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))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(311,plain,
% 2.54/2.70 ((~![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))),
% 2.54/2.70 inference(quant_inst,[status(thm)],[])).
% 2.54/2.70 tff(312,plain,
% 2.54/2.70 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z)),
% 2.54/2.70 inference(modus_ponens,[status(thm)],[311, 310])).
% 2.54/2.70 tff(313,plain,
% 2.54/2.70 ($false),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[312, 64, 152, 309, 308])).
% 2.54/2.70 tff(314,plain,(r(s(s(s(s(z)))), z) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(315,plain,
% 2.54/2.70 (r(s(s(s(s(z)))), z)),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[314, 307])).
% 2.54/2.70 tff(316,assumption,(b(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 2.54/2.70 tff(317,plain,
% 2.54/2.70 (b(z, s(s(s(s(z)))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[174, 169])).
% 2.54/2.70 tff(318,assumption,(b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(319,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(320,plain,
% 2.54/2.70 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(321,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.70 inference(monotonicity,[status(thm)],[320])).
% 2.54/2.70 tff(322,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.70 inference(transitivity,[status(thm)],[321, 319])).
% 2.54/2.70 tff(323,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.70 inference(quant_inst,[status(thm)],[])).
% 2.54/2.70 tff(324,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.70 inference(modus_ponens,[status(thm)],[323, 322])).
% 2.54/2.70 tff(325,plain,
% 2.54/2.70 ($false),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[324, 91, 178, 318, 74, 316])).
% 2.54/2.70 tff(326,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(327,plain,
% 2.54/2.70 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[326, 74, 316, 317])).
% 2.54/2.70 tff(328,assumption,(~(s(s(s(s(z)))) = s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(329,assumption,(~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(330,assumption,(~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(331,plain,
% 2.54/2.70 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(332,plain,
% 2.54/2.70 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.54/2.70 inference(quant_inst,[status(thm)],[])).
% 2.54/2.70 tff(333,plain,
% 2.54/2.70 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.54/2.70 inference(modus_ponens,[status(thm)],[332, 331])).
% 2.54/2.70 tff(334,plain,
% 2.54/2.70 ($false),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[333, 64, 330, 329, 328])).
% 2.54/2.70 tff(335,plain,(r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | (s(s(s(s(z)))) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(336,plain,
% 2.54/2.70 (r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[335, 53])).
% 2.54/2.70 tff(337,plain,
% 2.54/2.70 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[336, 327])).
% 2.54/2.70 tff(338,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(339,plain,
% 2.54/2.70 (((~b(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(340,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.70 inference(monotonicity,[status(thm)],[339])).
% 2.54/2.70 tff(341,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.70 inference(transitivity,[status(thm)],[340, 338])).
% 2.54/2.70 tff(342,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.54/2.70 inference(quant_inst,[status(thm)],[])).
% 2.54/2.70 tff(343,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.70 inference(modus_ponens,[status(thm)],[342, 341])).
% 2.54/2.70 tff(344,plain,
% 2.54/2.70 ($false),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[343, 91, 76, 178, 74, 316])).
% 2.54/2.70 tff(345,plain,((~b(s(s(s(s(s(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(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(346,plain,
% 2.54/2.70 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[345, 74, 317, 316])).
% 2.54/2.70 tff(347,assumption,(r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.70 tff(348,assumption,(b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.54/2.70 tff(349,assumption,(b(s(s(s(s(s(z))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.54/2.70 tff(350,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(351,plain,
% 2.54/2.70 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(352,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.70 inference(monotonicity,[status(thm)],[351])).
% 2.54/2.70 tff(353,plain,
% 2.54/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.70 inference(transitivity,[status(thm)],[352, 350])).
% 2.54/2.70 tff(354,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.70 inference(quant_inst,[status(thm)],[])).
% 2.54/2.70 tff(355,plain,
% 2.54/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.70 inference(modus_ponens,[status(thm)],[354, 353])).
% 2.54/2.70 tff(356,plain,
% 2.54/2.70 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[355, 91, 77, 177, 74, 316, 297])).
% 2.54/2.70 tff(357,assumption,(~b(s(s(s(s(s(z))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.54/2.70 tff(358,assumption,(~r(s(s(s(s(s(z))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.54/2.70 tff(359,assumption,(s(s(s(s(s(z))))) = s(s(s(s(z))))), introduced(assumption)).
% 2.54/2.70 tff(360,plain,
% 2.54/2.70 (s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))),
% 2.54/2.70 inference(monotonicity,[status(thm)],[359])).
% 2.54/2.70 tff(361,plain,
% 2.54/2.70 (s(s(s(s(s(s(z)))))) = s(s(s(s(z))))),
% 2.54/2.70 inference(transitivity,[status(thm)],[360, 359])).
% 2.54/2.70 tff(362,plain,
% 2.54/2.70 ($false),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[235, 361])).
% 2.54/2.70 tff(363,plain,((~(s(s(s(s(s(z))))) = s(s(s(s(z)))))) | (s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.70 tff(364,plain,
% 2.54/2.70 (~(s(s(s(s(s(z))))) = s(s(s(s(z)))))),
% 2.54/2.70 inference(unit_resolution,[status(thm)],[363, 54])).
% 2.54/2.70 tff(365,plain,
% 2.54/2.70 (((~![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))))))),
% 2.54/2.70 inference(rewrite,[status(thm)],[])).
% 2.54/2.70 tff(366,plain,
% 2.54/2.70 ((~![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))))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(367,plain,
% 2.54/2.71 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(s(s(z))))) | b(s(s(s(s(s(z))))), s(s(s(s(z))))) | r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[366, 365])).
% 2.54/2.71 tff(368,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[367, 64, 364, 358, 357])).
% 2.54/2.71 tff(369,plain,(b(s(s(s(s(s(z))))), s(s(s(s(z))))) | r(s(s(s(s(s(z))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(370,plain,
% 2.54/2.71 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[369, 356])).
% 2.54/2.71 tff(371,plain,
% 2.54/2.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(372,plain,
% 2.54/2.71 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(373,plain,
% 2.54/2.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.54/2.71 inference(monotonicity,[status(thm)],[372])).
% 2.54/2.71 tff(374,plain,
% 2.54/2.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.71 inference(transitivity,[status(thm)],[373, 371])).
% 2.54/2.71 tff(375,plain,
% 2.54/2.71 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(376,plain,
% 2.54/2.71 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[375, 374])).
% 2.54/2.71 tff(377,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[376, 125, 204, 347, 216, 73])).
% 2.54/2.71 tff(378,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(379,plain,
% 2.54/2.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[378, 370, 204, 347])).
% 2.54/2.71 tff(380,plain,
% 2.54/2.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[246, 379])).
% 2.54/2.71 tff(381,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(382,plain,
% 2.54/2.71 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(383,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.71 inference(monotonicity,[status(thm)],[382])).
% 2.54/2.71 tff(384,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.71 inference(transitivity,[status(thm)],[383, 381])).
% 2.54/2.71 tff(385,plain,
% 2.54/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(386,plain,
% 2.54/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[385, 384])).
% 2.54/2.71 tff(387,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[386, 91, 77, 348, 380, 297])).
% 2.54/2.71 tff(388,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(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(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(389,plain,
% 2.54/2.71 (~b(s(s(s(s(s(z))))), s(z))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[388, 177, 297, 204, 347, 348, 74, 316])).
% 2.54/2.71 tff(390,plain,
% 2.54/2.71 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(z)) | b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(z)) | b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(z)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(391,plain,
% 2.54/2.71 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(z)) | b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(z)))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(392,plain,
% 2.54/2.71 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(z)) | b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[391, 390])).
% 2.54/2.71 tff(393,plain,
% 2.54/2.71 ((s(s(s(s(s(z))))) = s(z)) | b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[392, 64])).
% 2.54/2.71 tff(394,plain,
% 2.54/2.71 (b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[393, 154])).
% 2.54/2.71 tff(395,plain,
% 2.54/2.71 (r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[394, 389])).
% 2.54/2.71 tff(396,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(397,plain,
% 2.54/2.71 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), 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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(398,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 2.54/2.71 inference(monotonicity,[status(thm)],[397])).
% 2.54/2.71 tff(399,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.71 inference(transitivity,[status(thm)],[398, 396])).
% 2.54/2.71 tff(400,plain,
% 2.54/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(401,plain,
% 2.54/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[400, 399])).
% 2.54/2.71 tff(402,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[401, 91, 178, 177, 74, 72])).
% 2.54/2.71 tff(403,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(404,plain,
% 2.54/2.71 (~b(s(z), z)),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[403, 177, 74, 178])).
% 2.54/2.71 tff(405,plain,
% 2.54/2.71 (((~![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))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(406,plain,
% 2.54/2.71 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = z) | b(s(z), z) | r(s(z), z))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(407,plain,
% 2.54/2.71 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = z) | b(s(z), z) | r(s(z), z)),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[406, 405])).
% 2.54/2.71 tff(408,plain,
% 2.54/2.71 (b(s(z), z) | r(s(z), z)),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[407, 64, 258])).
% 2.54/2.71 tff(409,plain,
% 2.54/2.71 (r(s(z), z)),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[408, 404])).
% 2.54/2.71 tff(410,assumption,(r(s(s(s(s(s(z))))), s(z))), introduced(assumption)).
% 2.54/2.71 tff(411,assumption,(r(s(z), z)), introduced(assumption)).
% 2.54/2.71 tff(412,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(413,plain,
% 2.54/2.71 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(414,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z)))))))))),
% 2.54/2.71 inference(monotonicity,[status(thm)],[413])).
% 2.54/2.71 tff(415,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))))),
% 2.54/2.71 inference(transitivity,[status(thm)],[414, 412])).
% 2.54/2.71 tff(416,plain,
% 2.54/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(417,plain,
% 2.54/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z)))))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[416, 415])).
% 2.54/2.71 tff(418,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[417, 91, 79, 81, 348, 316])).
% 2.54/2.71 tff(419,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(420,plain,
% 2.54/2.71 (~b(s(s(s(s(s(z))))), z)),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[419, 81, 348, 316])).
% 2.54/2.71 tff(421,assumption,(~r(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 2.54/2.71 tff(422,assumption,(~b(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 2.54/2.71 tff(423,plain,
% 2.54/2.71 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = z) | b(s(s(s(s(s(z))))), z) | r(s(s(s(s(s(z))))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = z) | b(s(s(s(s(s(z))))), z) | r(s(s(s(s(s(z))))), z))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(424,plain,
% 2.54/2.71 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = z) | b(s(s(s(s(s(z))))), z) | r(s(s(s(s(s(z))))), z))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(425,plain,
% 2.54/2.71 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = z) | b(s(s(s(s(s(z))))), z) | r(s(s(s(s(s(z))))), z)),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[424, 423])).
% 2.54/2.71 tff(426,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[425, 64, 105, 422, 421])).
% 2.54/2.71 tff(427,plain,(r(s(s(s(s(s(z))))), z) | b(s(s(s(s(s(z))))), z)), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(428,plain,
% 2.54/2.71 (r(s(s(s(s(s(z))))), z)),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[427, 420])).
% 2.54/2.71 tff(429,assumption,(b(z, s(z))), introduced(assumption)).
% 2.54/2.71 tff(430,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(431,plain,
% 2.54/2.71 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(432,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.71 inference(monotonicity,[status(thm)],[431])).
% 2.54/2.71 tff(433,plain,
% 2.54/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.72 inference(transitivity,[status(thm)],[432, 430])).
% 2.54/2.72 tff(434,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(435,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[434, 433])).
% 2.54/2.72 tff(436,plain,
% 2.54/2.72 ($false),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[435, 91, 429, 81, 348, 177, 74, 297])).
% 2.54/2.72 tff(437,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.72 tff(438,plain,
% 2.54/2.72 (~b(z, s(z))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[437, 81, 348, 177, 74, 297])).
% 2.54/2.72 tff(439,plain,
% 2.54/2.72 (r(z, s(z))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[267, 438])).
% 2.54/2.72 tff(440,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(441,plain,
% 2.54/2.72 (((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(442,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))))),
% 2.54/2.72 inference(monotonicity,[status(thm)],[441])).
% 2.54/2.72 tff(443,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 2.54/2.72 inference(transitivity,[status(thm)],[442, 440])).
% 2.54/2.72 tff(444,plain,
% 2.54/2.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(445,plain,
% 2.54/2.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[444, 443])).
% 2.54/2.72 tff(446,plain,
% 2.54/2.72 ($false),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[445, 125, 410, 411, 71, 270])).
% 2.54/2.72 tff(447,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.72 tff(448,plain,
% 2.54/2.72 ($false),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[447, 439, 428, 411, 410])).
% 2.54/2.72 tff(449,plain,((~b(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.72 tff(450,plain,
% 2.54/2.72 (~b(z, s(s(s(s(s(z))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[449, 409, 395, 348, 177, 74, 297, 316])).
% 2.54/2.72 tff(451,plain,
% 2.54/2.72 (r(z, s(s(s(s(s(z))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[113, 450])).
% 2.54/2.72 tff(452,plain,
% 2.54/2.72 (~b(s(z), z)),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[403, 74, 177, 178])).
% 2.54/2.72 tff(453,plain,
% 2.54/2.72 (r(s(z), z)),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[408, 452])).
% 2.54/2.72 tff(454,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(455,plain,
% 2.54/2.72 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(456,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))))),
% 2.54/2.72 inference(monotonicity,[status(thm)],[455])).
% 2.54/2.72 tff(457,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 2.54/2.72 inference(transitivity,[status(thm)],[456, 454])).
% 2.54/2.72 tff(458,plain,
% 2.54/2.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(459,plain,
% 2.54/2.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[458, 457])).
% 2.54/2.72 tff(460,plain,
% 2.54/2.72 (~r(s(z), s(s(s(s(s(z))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[459, 125, 75, 453, 71])).
% 2.54/2.72 tff(461,plain,
% 2.54/2.72 (b(s(z), s(s(s(s(s(z))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[163, 460])).
% 2.54/2.72 tff(462,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(463,plain,
% 2.54/2.72 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(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(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(464,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(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(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.72 inference(monotonicity,[status(thm)],[463])).
% 2.54/2.72 tff(465,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(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(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(transitivity,[status(thm)],[464, 462])).
% 2.54/2.72 tff(466,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(467,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[466, 465])).
% 2.54/2.72 tff(468,plain,
% 2.54/2.72 (~b(z, s(z))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[467, 91, 461, 178, 177, 74, 349])).
% 2.54/2.72 tff(469,plain,
% 2.54/2.72 (r(z, s(z))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[267, 468])).
% 2.54/2.72 tff(470,plain,
% 2.54/2.72 (~r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[447, 469, 71, 453])).
% 2.54/2.72 tff(471,plain,
% 2.54/2.72 (b(s(s(s(s(s(z))))), s(z))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[394, 470])).
% 2.54/2.72 tff(472,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(473,plain,
% 2.54/2.72 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(474,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.54/2.72 inference(monotonicity,[status(thm)],[473])).
% 2.54/2.72 tff(475,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.72 inference(transitivity,[status(thm)],[474, 472])).
% 2.54/2.72 tff(476,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(477,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[476, 475])).
% 2.54/2.72 tff(478,plain,
% 2.54/2.72 ($false),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[477, 91, 471, 461, 177, 349])).
% 2.54/2.72 tff(479,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.72 tff(480,plain,
% 2.54/2.72 (~r(s(s(s(s(s(z))))), z)),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[479, 349, 177, 178, 74, 75])).
% 2.54/2.72 tff(481,plain,
% 2.54/2.72 (b(s(s(s(s(s(z))))), z)),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[427, 480])).
% 2.54/2.72 tff(482,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(483,plain,
% 2.54/2.72 (((~b(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(484,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.72 inference(monotonicity,[status(thm)],[483])).
% 2.54/2.72 tff(485,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.72 inference(transitivity,[status(thm)],[484, 482])).
% 2.54/2.72 tff(486,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(487,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[486, 485])).
% 2.54/2.72 tff(488,plain,
% 2.54/2.72 ($false),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[487, 91, 481, 178, 74, 349])).
% 2.54/2.72 tff(489,plain,((~b(s(s(s(s(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(s(z)))), s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.72 tff(490,plain,
% 2.54/2.72 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[489, 451, 178, 74, 177])).
% 2.54/2.72 tff(491,plain,
% 2.54/2.72 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[369, 490])).
% 2.54/2.72 tff(492,plain,
% 2.54/2.72 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[378, 491, 204, 347])).
% 2.54/2.72 tff(493,plain,
% 2.54/2.72 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[246, 492])).
% 2.54/2.72 tff(494,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(495,plain,
% 2.54/2.72 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(496,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.72 inference(monotonicity,[status(thm)],[495])).
% 2.54/2.72 tff(497,plain,
% 2.54/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.72 inference(transitivity,[status(thm)],[496, 494])).
% 2.54/2.72 tff(498,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(499,plain,
% 2.54/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[498, 497])).
% 2.54/2.72 tff(500,plain,
% 2.54/2.72 ($false),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[499, 91, 176, 348, 298, 297])).
% 2.54/2.72 tff(501,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.72 tff(502,plain,
% 2.54/2.72 (~b(s(z), s(s(s(s(s(z))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[501, 493, 348, 297])).
% 2.54/2.72 tff(503,plain,
% 2.54/2.72 (r(s(z), s(s(s(s(s(z))))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[163, 502])).
% 2.54/2.72 tff(504,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(505,plain,
% 2.54/2.72 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 2.54/2.72 inference(rewrite,[status(thm)],[])).
% 2.54/2.72 tff(506,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z)))))),
% 2.54/2.72 inference(monotonicity,[status(thm)],[505])).
% 2.54/2.72 tff(507,plain,
% 2.54/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 2.54/2.73 inference(transitivity,[status(thm)],[506, 504])).
% 2.54/2.73 tff(508,plain,
% 2.54/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 2.54/2.73 inference(quant_inst,[status(thm)],[])).
% 2.54/2.73 tff(509,plain,
% 2.54/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z)))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[508, 507])).
% 2.54/2.73 tff(510,plain,
% 2.54/2.73 ($false),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[509, 125, 410, 75, 270, 136])).
% 2.54/2.73 tff(511,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.73 tff(512,plain,
% 2.54/2.73 (~r(z, s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[511, 503, 451, 395])).
% 2.54/2.73 tff(513,plain,
% 2.54/2.73 (b(z, s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[267, 512])).
% 2.54/2.73 tff(514,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(515,plain,
% 2.54/2.73 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(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(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(516,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.73 inference(monotonicity,[status(thm)],[515])).
% 2.54/2.73 tff(517,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.73 inference(transitivity,[status(thm)],[516, 514])).
% 2.54/2.73 tff(518,plain,
% 2.54/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.54/2.73 inference(quant_inst,[status(thm)],[])).
% 2.54/2.73 tff(519,plain,
% 2.54/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[518, 517])).
% 2.54/2.73 tff(520,plain,
% 2.54/2.73 ($false),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[519, 91, 513, 178, 177, 74, 316, 297])).
% 2.54/2.73 tff(521,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.73 tff(522,plain,
% 2.54/2.73 (~b(s(s(s(s(z)))), s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[521, 316, 74, 178, 297, 348, 204, 347])).
% 2.54/2.73 tff(523,plain,
% 2.54/2.73 (r(s(s(s(s(z)))), s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[201, 522])).
% 2.54/2.73 tff(524,plain,
% 2.54/2.73 (~b(s(z), s(s(s(s(s(z))))))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[501, 298, 348, 297])).
% 2.54/2.73 tff(525,plain,
% 2.54/2.73 (r(s(z), s(s(s(s(s(z))))))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[163, 524])).
% 2.54/2.73 tff(526,assumption,(b(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 2.54/2.73 tff(527,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(528,plain,
% 2.54/2.73 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(529,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.73 inference(monotonicity,[status(thm)],[528])).
% 2.54/2.73 tff(530,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.73 inference(transitivity,[status(thm)],[529, 527])).
% 2.54/2.73 tff(531,plain,
% 2.54/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.73 inference(quant_inst,[status(thm)],[])).
% 2.54/2.73 tff(532,plain,
% 2.54/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[531, 530])).
% 2.54/2.73 tff(533,plain,
% 2.54/2.73 ($false),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[532, 91, 77, 348, 526, 298, 297])).
% 2.54/2.73 tff(534,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.73 tff(535,plain,
% 2.54/2.73 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[534, 298, 77, 348, 297])).
% 2.54/2.73 tff(536,assumption,(~r(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 2.54/2.73 tff(537,assumption,(~b(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 2.54/2.73 tff(538,plain,
% 2.54/2.73 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(z)) | b(s(s(s(s(s(s(z)))))), s(z)) | r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(z)) | b(s(s(s(s(s(s(z)))))), s(z)) | r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(539,plain,
% 2.54/2.73 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(z)) | b(s(s(s(s(s(s(z)))))), s(z)) | r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.54/2.73 inference(quant_inst,[status(thm)],[])).
% 2.54/2.73 tff(540,plain,
% 2.54/2.73 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(z)) | b(s(s(s(s(s(s(z)))))), s(z)) | r(s(s(s(s(s(s(z)))))), s(z))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[539, 538])).
% 2.54/2.73 tff(541,plain,
% 2.54/2.73 ($false),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[540, 64, 287, 537, 536])).
% 2.54/2.73 tff(542,plain,(r(s(s(s(s(s(s(z)))))), s(z)) | b(s(s(s(s(s(s(z)))))), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.73 tff(543,plain,
% 2.54/2.73 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[542, 535])).
% 2.54/2.73 tff(544,assumption,(r(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 2.54/2.73 tff(545,assumption,(r(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 2.54/2.73 tff(546,plain,
% 2.54/2.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(547,plain,
% 2.54/2.73 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(548,plain,
% 2.54/2.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.54/2.73 inference(monotonicity,[status(thm)],[547])).
% 2.54/2.73 tff(549,plain,
% 2.54/2.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.54/2.73 inference(transitivity,[status(thm)],[548, 546])).
% 2.54/2.73 tff(550,plain,
% 2.54/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.54/2.73 inference(quant_inst,[status(thm)],[])).
% 2.54/2.73 tff(551,plain,
% 2.54/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[550, 549])).
% 2.54/2.73 tff(552,plain,
% 2.54/2.73 ($false),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[551, 125, 204, 544, 135, 545])).
% 2.54/2.73 tff(553,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.73 tff(554,plain,
% 2.54/2.73 (~r(s(z), s(s(s(s(z)))))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[553, 543, 204, 544])).
% 2.54/2.73 tff(555,plain,
% 2.54/2.73 ((s(z) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(z))),
% 2.54/2.73 inference(commutativity,[status(thm)],[])).
% 2.54/2.73 tff(556,plain,
% 2.54/2.73 ((s(s(s(s(z)))) = s(z)) <=> (s(z) = s(s(s(s(z)))))),
% 2.54/2.73 inference(symmetry,[status(thm)],[555])).
% 2.54/2.73 tff(557,plain,
% 2.54/2.73 ((~(s(s(s(s(z)))) = s(z))) <=> (~(s(z) = s(s(s(s(z))))))),
% 2.54/2.73 inference(monotonicity,[status(thm)],[556])).
% 2.54/2.73 tff(558,plain,
% 2.54/2.73 (~(s(z) = s(s(s(s(z)))))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[196, 557])).
% 2.54/2.73 tff(559,plain,
% 2.54/2.73 (((~![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))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(560,plain,
% 2.54/2.73 ((~![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))))))),
% 2.54/2.73 inference(quant_inst,[status(thm)],[])).
% 2.54/2.73 tff(561,plain,
% 2.54/2.73 ((~![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)))))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[560, 559])).
% 2.54/2.73 tff(562,plain,
% 2.54/2.73 ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[561, 64])).
% 2.54/2.73 tff(563,plain,
% 2.54/2.73 (b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[562, 558])).
% 2.54/2.73 tff(564,plain,
% 2.54/2.73 (b(s(z), s(s(s(s(z)))))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[563, 554])).
% 2.54/2.73 tff(565,assumption,(b(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.54/2.73 tff(566,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(567,plain,
% 2.54/2.73 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(568,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.73 inference(monotonicity,[status(thm)],[567])).
% 2.54/2.73 tff(569,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.73 inference(transitivity,[status(thm)],[568, 566])).
% 2.54/2.73 tff(570,plain,
% 2.54/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 2.54/2.73 inference(quant_inst,[status(thm)],[])).
% 2.54/2.73 tff(571,plain,
% 2.54/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.73 inference(modus_ponens,[status(thm)],[570, 569])).
% 2.54/2.73 tff(572,plain,
% 2.54/2.73 ($false),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[571, 91, 565, 429, 178, 74])).
% 2.54/2.73 tff(573,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.73 tff(574,plain,
% 2.54/2.73 (~b(z, s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[573, 564, 178, 74])).
% 2.54/2.73 tff(575,plain,
% 2.54/2.73 (r(z, s(z))),
% 2.54/2.73 inference(unit_resolution,[status(thm)],[267, 574])).
% 2.54/2.73 tff(576,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(577,plain,
% 2.54/2.73 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.54/2.73 inference(rewrite,[status(thm)],[])).
% 2.54/2.73 tff(578,plain,
% 2.54/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 2.54/2.74 inference(monotonicity,[status(thm)],[577])).
% 2.54/2.74 tff(579,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.54/2.74 inference(transitivity,[status(thm)],[578, 576])).
% 2.54/2.74 tff(580,plain,
% 2.54/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.54/2.74 inference(quant_inst,[status(thm)],[])).
% 2.54/2.74 tff(581,plain,
% 2.54/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 2.54/2.74 inference(modus_ponens,[status(thm)],[580, 579])).
% 2.54/2.74 tff(582,plain,
% 2.54/2.74 (~b(z, s(s(s(s(s(z))))))),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[581, 91, 77, 564, 178, 348, 316])).
% 2.54/2.74 tff(583,plain,
% 2.54/2.74 (r(z, s(s(s(s(s(z))))))),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[113, 582])).
% 2.54/2.74 tff(584,plain,
% 2.54/2.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(585,plain,
% 2.54/2.74 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(586,plain,
% 2.54/2.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 2.54/2.74 inference(monotonicity,[status(thm)],[585])).
% 2.54/2.74 tff(587,plain,
% 2.54/2.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 2.54/2.74 inference(transitivity,[status(thm)],[586, 584])).
% 2.54/2.74 tff(588,plain,
% 2.54/2.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 2.54/2.74 inference(quant_inst,[status(thm)],[])).
% 2.54/2.74 tff(589,plain,
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% 2.54/2.74 inference(modus_ponens,[status(thm)],[588, 587])).
% 2.54/2.74 tff(590,plain,
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% 2.54/2.74 tff(593,plain,
% 2.54/2.74 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 2.54/2.74 tff(594,plain,
% 2.54/2.74 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
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% 2.54/2.74 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[369, 594])).
% 2.54/2.74 tff(596,plain,
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% 2.54/2.74 tff(598,plain,
% 2.54/2.74 (~b(s(s(s(s(s(z))))), z)),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[597, 595, 74, 178])).
% 2.54/2.74 tff(599,plain,
% 2.54/2.74 (r(s(s(s(s(s(z))))), z)),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[427, 598])).
% 2.54/2.74 tff(600,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(601,plain,
% 2.54/2.74 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(602,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 2.54/2.74 inference(monotonicity,[status(thm)],[601])).
% 2.54/2.74 tff(603,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.74 inference(transitivity,[status(thm)],[602, 600])).
% 2.54/2.74 tff(604,plain,
% 2.54/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.74 inference(quant_inst,[status(thm)],[])).
% 2.54/2.74 tff(605,plain,
% 2.54/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 2.54/2.74 inference(modus_ponens,[status(thm)],[604, 603])).
% 2.54/2.74 tff(606,plain,
% 2.54/2.74 ($false),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[605, 91, 178, 74, 72, 316, 297])).
% 2.54/2.74 tff(607,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.74 tff(608,plain,
% 2.54/2.74 (~b(s(z), z)),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[607, 316, 74, 178, 297])).
% 2.54/2.74 tff(609,plain,
% 2.54/2.74 (r(s(z), z)),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[408, 608])).
% 2.54/2.74 tff(610,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(611,plain,
% 2.54/2.74 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(612,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.74 inference(monotonicity,[status(thm)],[611])).
% 2.54/2.74 tff(613,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.74 inference(transitivity,[status(thm)],[612, 610])).
% 2.54/2.74 tff(614,plain,
% 2.54/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.54/2.74 inference(quant_inst,[status(thm)],[])).
% 2.54/2.74 tff(615,plain,
% 2.54/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.74 inference(modus_ponens,[status(thm)],[614, 613])).
% 2.54/2.74 tff(616,plain,
% 2.54/2.74 (~b(z, s(s(s(s(s(z))))))),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[615, 91, 178, 74, 595])).
% 2.54/2.74 tff(617,plain,
% 2.54/2.74 (r(z, s(s(s(s(s(z))))))),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[113, 616])).
% 2.54/2.74 tff(618,plain,
% 2.54/2.74 (~r(s(z), s(s(s(s(s(z))))))),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[459, 125, 617, 609, 599])).
% 2.54/2.74 tff(619,plain,
% 2.54/2.74 (b(s(z), s(s(s(s(s(z))))))),
% 2.54/2.74 inference(unit_resolution,[status(thm)],[163, 618])).
% 2.54/2.74 tff(620,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(621,plain,
% 2.54/2.74 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(622,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.74 inference(monotonicity,[status(thm)],[621])).
% 2.54/2.74 tff(623,plain,
% 2.54/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.74 inference(transitivity,[status(thm)],[622, 620])).
% 2.54/2.74 tff(624,plain,
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% 2.54/2.74 inference(quant_inst,[status(thm)],[])).
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% 2.54/2.74 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.74 inference(rewrite,[status(thm)],[])).
% 2.54/2.74 tff(633,plain,
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% 2.54/2.74 inference(monotonicity,[status(thm)],[632])).
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% 2.54/2.74 inference(transitivity,[status(thm)],[633, 631])).
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% 2.54/2.75 inference(modus_ponens,[status(thm)],[635, 634])).
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% 2.54/2.75 inference(unit_resolution,[status(thm)],[369, 641])).
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% 2.54/2.75 inference(unit_resolution,[status(thm)],[427, 643])).
% 2.54/2.75 tff(645,plain,
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% 2.54/2.75 inference(unit_resolution,[status(thm)],[447, 644, 411, 410])).
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% 2.54/2.75 inference(unit_resolution,[status(thm)],[267, 645])).
% 2.54/2.75 tff(647,plain,
% 2.54/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
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% 2.54/2.75 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.54/2.75 inference(rewrite,[status(thm)],[])).
% 2.54/2.75 tff(649,plain,
% 2.54/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.54/2.75 inference(monotonicity,[status(thm)],[648])).
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% 2.54/2.75 inference(transitivity,[status(thm)],[649, 647])).
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% 2.54/2.75 inference(modus_ponens,[status(thm)],[651, 650])).
% 2.54/2.75 tff(653,plain,
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% 2.54/2.75 inference(unit_resolution,[status(thm)],[652, 125, 410, 215, 71, 216, 545])).
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% 2.54/2.75 tff(655,plain,
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% 2.54/2.75 tff(656,plain,
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% 2.54/2.75 tff(658,plain,
% 2.54/2.75 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.54/2.75 inference(rewrite,[status(thm)],[])).
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% 2.54/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.54/2.75 inference(monotonicity,[status(thm)],[658])).
% 2.54/2.75 tff(660,plain,
% 2.54/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.54/2.75 inference(transitivity,[status(thm)],[659, 657])).
% 2.54/2.75 tff(661,plain,
% 2.54/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.54/2.75 inference(quant_inst,[status(thm)],[])).
% 2.54/2.75 tff(662,plain,
% 2.54/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.54/2.75 inference(modus_ponens,[status(thm)],[661, 660])).
% 2.54/2.75 tff(663,plain,
% 2.54/2.75 ($false),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[662, 91, 429, 176, 178, 316, 526, 349])).
% 2.54/2.75 tff(664,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.75 tff(665,plain,
% 2.54/2.75 (~b(s(z), s(s(s(s(s(z))))))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[664, 656, 178, 316, 642, 646])).
% 2.54/2.75 tff(666,plain,
% 2.54/2.75 (r(s(z), s(s(s(s(s(z))))))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[163, 665])).
% 2.54/2.75 tff(667,plain,
% 2.54/2.75 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[654, 428, 215, 410, 216])).
% 2.54/2.75 tff(668,plain,
% 2.54/2.75 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[542, 667])).
% 2.54/2.75 tff(669,assumption,(b(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.54/2.75 tff(670,plain,
% 2.54/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.75 inference(rewrite,[status(thm)],[])).
% 2.54/2.75 tff(671,plain,
% 2.54/2.75 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.75 inference(rewrite,[status(thm)],[])).
% 2.54/2.75 tff(672,plain,
% 2.54/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.54/2.75 inference(monotonicity,[status(thm)],[671])).
% 2.54/2.75 tff(673,plain,
% 2.54/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.75 inference(transitivity,[status(thm)],[672, 670])).
% 2.54/2.75 tff(674,plain,
% 2.54/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.54/2.75 inference(quant_inst,[status(thm)],[])).
% 2.54/2.75 tff(675,plain,
% 2.54/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.54/2.75 inference(modus_ponens,[status(thm)],[674, 673])).
% 2.54/2.75 tff(676,plain,
% 2.54/2.75 ($false),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[675, 91, 81, 178, 669, 349])).
% 2.54/2.75 tff(677,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.75 tff(678,plain,
% 2.54/2.75 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[677, 81, 349, 178])).
% 2.54/2.75 tff(679,assumption,(s(s(s(s(z)))) = s(s(s(s(s(z)))))), introduced(assumption)).
% 2.54/2.75 tff(680,plain,
% 2.54/2.75 (s(s(s(s(s(z))))) = s(s(s(s(z))))),
% 2.54/2.75 inference(symmetry,[status(thm)],[679])).
% 2.54/2.75 tff(681,plain,
% 2.54/2.75 ($false),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[364, 680])).
% 2.54/2.75 tff(682,plain,(~(s(s(s(s(z)))) = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.75 tff(683,assumption,(~r(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.54/2.75 tff(684,assumption,(~b(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.54/2.75 tff(685,plain,
% 2.54/2.75 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(z)))))) | b(s(s(s(s(z)))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(z)))))) | b(s(s(s(s(z)))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.54/2.75 inference(rewrite,[status(thm)],[])).
% 2.54/2.75 tff(686,plain,
% 2.54/2.75 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(z)))))) | b(s(s(s(s(z)))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.54/2.75 inference(quant_inst,[status(thm)],[])).
% 2.54/2.75 tff(687,plain,
% 2.54/2.75 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(z)))))) | b(s(s(s(s(z)))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.54/2.75 inference(modus_ponens,[status(thm)],[686, 685])).
% 2.54/2.75 tff(688,plain,
% 2.54/2.75 ($false),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[687, 64, 684, 683, 682])).
% 2.54/2.75 tff(689,plain,(b(s(s(s(s(z)))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.75 tff(690,plain,
% 2.54/2.75 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[689, 678])).
% 2.54/2.75 tff(691,plain,
% 2.54/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.54/2.75 inference(rewrite,[status(thm)],[])).
% 2.54/2.75 tff(692,plain,
% 2.54/2.75 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.54/2.75 inference(rewrite,[status(thm)],[])).
% 2.54/2.75 tff(693,plain,
% 2.54/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 2.54/2.75 inference(monotonicity,[status(thm)],[692])).
% 2.54/2.75 tff(694,plain,
% 2.54/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.54/2.75 inference(transitivity,[status(thm)],[693, 691])).
% 2.54/2.75 tff(695,plain,
% 2.54/2.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.54/2.75 inference(quant_inst,[status(thm)],[])).
% 2.54/2.75 tff(696,plain,
% 2.54/2.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.54/2.75 inference(modus_ponens,[status(thm)],[695, 694])).
% 2.54/2.75 tff(697,plain,
% 2.54/2.75 ($false),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[696, 125, 410, 544, 115, 136])).
% 2.54/2.75 tff(698,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.75 tff(699,plain,
% 2.54/2.75 (~r(s(z), s(s(s(s(s(z))))))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[698, 690, 544, 410])).
% 2.54/2.75 tff(700,plain,
% 2.54/2.75 (b(s(z), s(s(s(s(s(z))))))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[163, 699])).
% 2.54/2.75 tff(701,plain,
% 2.54/2.75 (~b(z, s(z))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[664, 700, 178, 316, 349, 668])).
% 2.54/2.75 tff(702,plain,
% 2.54/2.75 (r(z, s(z))),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[267, 701])).
% 2.54/2.75 tff(703,plain,
% 2.54/2.75 (~r(s(z), z)),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[447, 702, 428, 410])).
% 2.54/2.75 tff(704,plain,
% 2.54/2.75 (b(s(z), z)),
% 2.54/2.75 inference(unit_resolution,[status(thm)],[408, 703])).
% 2.54/2.75 tff(705,plain,
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% 2.54/2.75 inference(monotonicity,[status(thm)],[706])).
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% 2.54/2.76 tff(727,plain,
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% 2.54/2.76 inference(monotonicity,[status(thm)],[747])).
% 2.54/2.76 tff(749,plain,
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% 2.54/2.76 inference(transitivity,[status(thm)],[748, 454])).
% 2.54/2.76 tff(750,plain,
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% 2.54/2.76 inference(quant_inst,[status(thm)],[])).
% 2.54/2.76 tff(751,plain,
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% 2.54/2.76 inference(modus_ponens,[status(thm)],[750, 749])).
% 2.54/2.76 tff(752,plain,
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% 2.54/2.76 inference(unit_resolution,[status(thm)],[751, 125, 746, 609, 742, 720])).
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% 2.54/2.76 tff(754,plain,
% 2.54/2.76 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[753, 74, 178, 348, 297, 215, 204, 347])).
% 2.54/2.76 tff(755,assumption,(~b(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 2.54/2.76 tff(756,assumption,(~r(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 2.54/2.76 tff(757,plain,
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% 2.54/2.76 inference(quant_inst,[status(thm)],[])).
% 2.54/2.76 tff(758,plain,
% 2.54/2.76 (~(s(s(s(s(s(s(z)))))) = z)),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[757, 47])).
% 2.54/2.76 tff(759,plain,
% 2.54/2.76 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = z) | b(s(s(s(s(s(s(z)))))), z) | r(s(s(s(s(s(s(z)))))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = z) | b(s(s(s(s(s(s(z)))))), z) | r(s(s(s(s(s(s(z)))))), z))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(760,plain,
% 2.54/2.76 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = z) | b(s(s(s(s(s(s(z)))))), z) | r(s(s(s(s(s(s(z)))))), z))),
% 2.54/2.76 inference(quant_inst,[status(thm)],[])).
% 2.54/2.76 tff(761,plain,
% 2.54/2.76 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = z) | b(s(s(s(s(s(s(z)))))), z) | r(s(s(s(s(s(s(z)))))), z)),
% 2.54/2.76 inference(modus_ponens,[status(thm)],[760, 759])).
% 2.54/2.76 tff(762,plain,
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% 2.54/2.76 inference(unit_resolution,[status(thm)],[761, 64, 758, 756, 755])).
% 2.54/2.76 tff(763,plain,(b(s(s(s(s(s(s(z)))))), z) | r(s(s(s(s(s(s(z)))))), z)), inference(lemma,lemma(discharge,[]))).
% 2.54/2.76 tff(764,plain,
% 2.54/2.76 (r(s(s(s(s(s(s(z)))))), z)),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[763, 754])).
% 2.54/2.76 tff(765,assumption,(r(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 2.54/2.76 tff(766,plain,
% 2.54/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(767,plain,
% 2.54/2.76 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(768,plain,
% 2.54/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.54/2.76 inference(monotonicity,[status(thm)],[767])).
% 2.54/2.76 tff(769,plain,
% 2.54/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.76 inference(transitivity,[status(thm)],[768, 766])).
% 2.54/2.76 tff(770,plain,
% 2.54/2.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)))),
% 2.54/2.76 inference(quant_inst,[status(thm)],[])).
% 2.54/2.76 tff(771,plain,
% 2.54/2.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.54/2.76 inference(modus_ponens,[status(thm)],[770, 769])).
% 2.54/2.76 tff(772,plain,
% 2.54/2.76 ($false),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[771, 125, 765, 215, 644, 216])).
% 2.54/2.76 tff(773,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.76 tff(774,plain,
% 2.54/2.76 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[773, 764, 215, 74, 178, 204, 347])).
% 2.54/2.76 tff(775,plain,
% 2.54/2.76 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[246, 774])).
% 2.54/2.76 tff(776,plain,
% 2.54/2.76 (~b(s(z), s(s(s(s(s(z))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[501, 775, 348, 297])).
% 2.54/2.76 tff(777,plain,
% 2.54/2.76 (r(s(z), s(s(s(s(s(z))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[163, 776])).
% 2.54/2.76 tff(778,plain,
% 2.54/2.76 ((s(s(z)) = s(s(s(s(s(z)))))) <=> (s(s(s(s(s(z))))) = s(s(z)))),
% 2.54/2.76 inference(commutativity,[status(thm)],[])).
% 2.54/2.76 tff(779,plain,
% 2.54/2.76 ((s(s(s(s(s(z))))) = s(s(z))) <=> (s(s(z)) = s(s(s(s(s(z))))))),
% 2.54/2.76 inference(symmetry,[status(thm)],[778])).
% 2.54/2.76 tff(780,plain,
% 2.54/2.76 ((~(s(s(s(s(s(z))))) = s(s(z)))) <=> (~(s(s(z)) = s(s(s(s(s(z)))))))),
% 2.54/2.76 inference(monotonicity,[status(thm)],[779])).
% 2.54/2.76 tff(781,assumption,(s(s(s(s(s(z))))) = s(s(z))), introduced(assumption)).
% 2.54/2.76 tff(782,plain,
% 2.54/2.76 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(z)))),
% 2.54/2.76 inference(monotonicity,[status(thm)],[781])).
% 2.54/2.76 tff(783,plain,
% 2.54/2.76 (s(s(s(s(z)))) = s(z)),
% 2.54/2.76 inference(transitivity,[status(thm)],[26, 782, 34])).
% 2.54/2.76 tff(784,plain,
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% 2.54/2.76 inference(unit_resolution,[status(thm)],[196, 783])).
% 2.54/2.76 tff(785,plain,(~(s(s(s(s(s(z))))) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.76 tff(786,plain,
% 2.54/2.76 (~(s(s(z)) = s(s(s(s(s(z))))))),
% 2.54/2.76 inference(modus_ponens,[status(thm)],[785, 780])).
% 2.54/2.76 tff(787,plain,
% 2.54/2.76 (~b(s(s(s(s(s(z))))), s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[386, 91, 348, 298, 297])).
% 2.54/2.76 tff(788,plain,
% 2.54/2.76 (r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[394, 787])).
% 2.54/2.76 tff(789,plain,
% 2.54/2.76 (~b(s(s(s(s(z)))), s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[403, 72, 74, 178])).
% 2.54/2.76 tff(790,plain,
% 2.54/2.76 (r(s(s(s(s(z)))), s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[201, 789])).
% 2.54/2.76 tff(791,plain,
% 2.54/2.76 (~r(s(z), s(s(s(s(z)))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[738, 790, 73, 410])).
% 2.54/2.76 tff(792,plain,
% 2.54/2.76 (b(s(z), s(s(s(s(z)))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[563, 791])).
% 2.54/2.76 tff(793,plain,
% 2.54/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(794,plain,
% 2.54/2.76 (((~b(s(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)))), z)) | (~b(s(z), z)) | (~b(s(z), s(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(z), z)))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(795,plain,
% 2.54/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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)))), 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(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 2.54/2.76 inference(monotonicity,[status(thm)],[794])).
% 2.54/2.76 tff(796,plain,
% 2.54/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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)))), 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(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.76 inference(transitivity,[status(thm)],[795, 793])).
% 2.54/2.76 tff(797,plain,
% 2.54/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.54/2.76 inference(quant_inst,[status(thm)],[])).
% 2.54/2.76 tff(798,plain,
% 2.54/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 2.54/2.76 inference(modus_ponens,[status(thm)],[797, 796])).
% 2.54/2.76 tff(799,plain,
% 2.54/2.76 ($false),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[798, 91, 792, 178, 74, 72])).
% 2.54/2.76 tff(800,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.76 tff(801,plain,
% 2.54/2.76 (~b(s(z), z)),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[800, 788, 74, 73, 178])).
% 2.54/2.76 tff(802,plain,
% 2.54/2.76 (r(s(z), z)),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[408, 801])).
% 2.54/2.76 tff(803,plain,
% 2.54/2.76 (~r(z, s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[447, 802, 71, 788])).
% 2.54/2.76 tff(804,plain,
% 2.54/2.76 (b(z, s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[267, 803])).
% 2.54/2.76 tff(805,plain,
% 2.54/2.76 (~b(s(z), s(s(s(s(z)))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[573, 429, 178, 74])).
% 2.54/2.76 tff(806,plain,
% 2.54/2.76 (r(s(z), s(s(s(s(z)))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[563, 805])).
% 2.54/2.76 tff(807,plain,
% 2.54/2.76 (~b(s(s(s(s(z)))), s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[437, 429, 348, 81, 74, 297])).
% 2.54/2.76 tff(808,plain,
% 2.54/2.76 (r(s(s(s(s(z)))), s(z))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[201, 807])).
% 2.54/2.76 tff(809,plain,
% 2.54/2.76 ($false),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[738, 808, 806, 73, 410])).
% 2.54/2.76 tff(810,plain,((~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.76 tff(811,plain,
% 2.54/2.76 (~b(z, s(s(s(s(s(z))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[810, 804, 788, 348, 73, 74, 297, 178])).
% 2.54/2.76 tff(812,plain,
% 2.54/2.76 (r(z, s(s(s(s(s(z))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[113, 811])).
% 2.54/2.76 tff(813,plain,
% 2.54/2.76 ($false),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[459, 125, 812, 802, 71, 525])).
% 2.54/2.76 tff(814,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.76 tff(815,plain,
% 2.54/2.76 (~r(s(s(s(s(s(z))))), z)),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[814, 73, 348, 74, 297, 178, 298])).
% 2.54/2.76 tff(816,plain,
% 2.54/2.76 (b(s(s(s(s(s(z))))), z)),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[427, 815])).
% 2.54/2.76 tff(817,plain,
% 2.54/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(818,plain,
% 2.54/2.76 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(819,plain,
% 2.54/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.76 inference(monotonicity,[status(thm)],[818])).
% 2.54/2.76 tff(820,plain,
% 2.54/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.76 inference(transitivity,[status(thm)],[819, 817])).
% 2.54/2.76 tff(821,plain,
% 2.54/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.54/2.76 inference(quant_inst,[status(thm)],[])).
% 2.54/2.76 tff(822,plain,
% 2.54/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.76 inference(modus_ponens,[status(thm)],[821, 820])).
% 2.54/2.76 tff(823,plain,
% 2.54/2.76 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[822, 91, 816, 178, 74])).
% 2.54/2.76 tff(824,plain,
% 2.54/2.76 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.54/2.76 inference(unit_resolution,[status(thm)],[689, 823])).
% 2.54/2.76 tff(825,plain,
% 2.54/2.76 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.76 inference(rewrite,[status(thm)],[])).
% 2.54/2.76 tff(826,plain,
% 2.54/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.54/2.76 inference(monotonicity,[status(thm)],[825])).
% 2.54/2.76 tff(827,plain,
% 2.54/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.76 inference(transitivity,[status(thm)],[826, 137])).
% 2.54/2.76 tff(828,plain,
% 2.54/2.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.54/2.76 inference(quant_inst,[status(thm)],[])).
% 2.54/2.76 tff(829,plain,
% 2.54/2.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.54/2.76 inference(modus_ponens,[status(thm)],[828, 827])).
% 2.54/2.76 tff(830,plain,
% 2.54/2.76 (~r(s(z), s(s(s(s(z)))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[829, 125, 73, 824, 525])).
% 2.54/2.77 tff(831,plain,
% 2.54/2.77 (b(s(z), s(s(s(s(z)))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[563, 830])).
% 2.54/2.77 tff(832,plain,
% 2.54/2.77 (~b(z, s(z))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[573, 831, 178, 74])).
% 2.54/2.77 tff(833,plain,
% 2.54/2.77 (r(z, s(z))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[267, 832])).
% 2.54/2.77 tff(834,plain,
% 2.54/2.77 (~r(z, s(s(s(s(s(z))))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[511, 833, 788, 525])).
% 2.54/2.77 tff(835,plain,
% 2.54/2.77 (b(z, s(s(s(s(s(z))))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[113, 834])).
% 2.54/2.77 tff(836,assumption,(r(s(s(z)), z)), introduced(assumption)).
% 2.54/2.77 tff(837,plain,
% 2.54/2.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(838,plain,
% 2.54/2.77 (((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(839,plain,
% 2.54/2.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[838])).
% 2.54/2.77 tff(840,plain,
% 2.54/2.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 2.54/2.77 inference(transitivity,[status(thm)],[839, 837])).
% 2.54/2.77 tff(841,plain,
% 2.54/2.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(842,plain,
% 2.54/2.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[841, 840])).
% 2.54/2.77 tff(843,plain,
% 2.54/2.77 (~r(s(s(z)), s(z))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[842, 125, 411, 836, 270])).
% 2.54/2.77 tff(844,assumption,(~r(s(s(z)), s(z))), introduced(assumption)).
% 2.54/2.77 tff(845,assumption,(~b(s(s(z)), s(z))), introduced(assumption)).
% 2.54/2.77 tff(846,assumption,(s(s(z)) = s(z)), introduced(assumption)).
% 2.54/2.77 tff(847,plain,
% 2.54/2.77 (s(z) = s(s(z))),
% 2.54/2.77 inference(symmetry,[status(thm)],[846])).
% 2.54/2.77 tff(848,plain,
% 2.54/2.77 (inj_0(s(z)) = inj_0(s(s(z)))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[847])).
% 2.54/2.77 tff(849,plain,
% 2.54/2.77 (inj_0(s(s(z))) = inj_0(s(z))),
% 2.54/2.77 inference(symmetry,[status(thm)],[848])).
% 2.54/2.77 tff(850,plain,
% 2.54/2.77 (s(z) = z),
% 2.54/2.77 inference(transitivity,[status(thm)],[35, 849, 29])).
% 2.54/2.77 tff(851,plain,
% 2.54/2.77 ($false),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[258, 850])).
% 2.54/2.77 tff(852,plain,(~(s(s(z)) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.77 tff(853,plain,
% 2.54/2.77 (((~![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)))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(854,plain,
% 2.54/2.77 ((~![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)))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(855,plain,
% 2.54/2.77 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(z)) | b(s(s(z)), s(z)) | r(s(s(z)), s(z))),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[854, 853])).
% 2.54/2.77 tff(856,plain,
% 2.54/2.77 ($false),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[855, 64, 852, 845, 844])).
% 2.54/2.77 tff(857,plain,(r(s(s(z)), s(z)) | b(s(s(z)), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.77 tff(858,plain,
% 2.54/2.77 (b(s(s(z)), s(z))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[857, 843])).
% 2.54/2.77 tff(859,assumption,(s(s(z)) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.54/2.77 tff(860,plain,
% 2.54/2.77 (s(s(s(s(s(s(z)))))) = s(s(z))),
% 2.54/2.77 inference(symmetry,[status(thm)],[859])).
% 2.54/2.77 tff(861,assumption,(s(s(s(s(s(s(z)))))) = s(s(z))), introduced(assumption)).
% 2.54/2.77 tff(862,plain,
% 2.54/2.77 (s(s(z)) = s(s(s(s(s(s(z))))))),
% 2.54/2.77 inference(symmetry,[status(thm)],[861])).
% 2.54/2.77 tff(863,plain,
% 2.54/2.77 (inj_0(s(s(z))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[862])).
% 2.54/2.77 tff(864,plain,
% 2.54/2.77 (s(z) = s(s(s(s(s(z)))))),
% 2.54/2.77 inference(transitivity,[status(thm)],[35, 863, 15])).
% 2.54/2.77 tff(865,plain,
% 2.54/2.77 (inj_0(s(z)) = inj_0(s(s(s(s(s(z))))))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[864])).
% 2.54/2.77 tff(866,plain,
% 2.54/2.77 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(z))),
% 2.54/2.77 inference(symmetry,[status(thm)],[865])).
% 2.54/2.77 tff(867,plain,
% 2.54/2.77 (s(s(s(s(z)))) = z),
% 2.54/2.77 inference(transitivity,[status(thm)],[26, 866, 29])).
% 2.54/2.77 tff(868,plain,
% 2.54/2.77 ($false),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[152, 867])).
% 2.54/2.77 tff(869,plain,(~(s(s(s(s(s(s(z)))))) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.77 tff(870,plain,
% 2.54/2.77 ($false),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[869, 860])).
% 2.54/2.77 tff(871,plain,(~(s(s(z)) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.77 tff(872,plain,
% 2.54/2.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(873,plain,
% 2.54/2.77 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(874,plain,
% 2.54/2.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[873])).
% 2.54/2.77 tff(875,plain,
% 2.54/2.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.54/2.77 inference(transitivity,[status(thm)],[874, 872])).
% 2.54/2.77 tff(876,plain,
% 2.54/2.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(877,plain,
% 2.54/2.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[876, 875])).
% 2.54/2.77 tff(878,plain,
% 2.54/2.77 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[877, 125, 765, 215, 836])).
% 2.54/2.77 tff(879,plain,
% 2.54/2.77 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(s(s(s(z))))))) | b(s(s(z)), s(s(s(s(s(s(z))))))) | r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(s(s(z))))))) | b(s(s(z)), s(s(s(s(s(s(z))))))) | r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(880,plain,
% 2.54/2.77 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(s(s(s(z))))))) | b(s(s(z)), s(s(s(s(s(s(z))))))) | r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(881,plain,
% 2.54/2.77 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(s(s(z))))))) | b(s(s(z)), s(s(s(s(s(s(z))))))) | r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[880, 879])).
% 2.54/2.77 tff(882,plain,
% 2.54/2.77 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[881, 64, 878, 871])).
% 2.54/2.77 tff(883,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(884,plain,
% 2.54/2.77 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(885,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[884])).
% 2.54/2.77 tff(886,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.54/2.77 inference(transitivity,[status(thm)],[885, 883])).
% 2.54/2.77 tff(887,plain,
% 2.54/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(888,plain,
% 2.54/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[887, 886])).
% 2.54/2.77 tff(889,plain,
% 2.54/2.77 ($false),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[888, 91, 348, 882, 858, 298, 297])).
% 2.54/2.77 tff(890,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.77 tff(891,plain,
% 2.54/2.77 (~r(s(s(z)), z)),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[890, 802, 298, 297, 348, 833, 765, 215])).
% 2.54/2.77 tff(892,assumption,(~r(s(s(z)), z)), introduced(assumption)).
% 2.54/2.77 tff(893,assumption,(~b(s(s(z)), z)), introduced(assumption)).
% 2.54/2.77 tff(894,plain,
% 2.54/2.77 (((~![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))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(895,plain,
% 2.54/2.77 ((~![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))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(896,plain,
% 2.54/2.77 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = z) | b(s(s(z)), z) | r(s(s(z)), z)),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[895, 894])).
% 2.54/2.77 tff(897,plain,
% 2.54/2.77 ($false),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[896, 64, 49, 893, 892])).
% 2.54/2.77 tff(898,plain,(b(s(s(z)), z) | r(s(s(z)), z)), inference(lemma,lemma(discharge,[]))).
% 2.54/2.77 tff(899,plain,
% 2.54/2.77 (b(s(s(z)), z)),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[898, 891])).
% 2.54/2.77 tff(900,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(901,plain,
% 2.54/2.77 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(902,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[901])).
% 2.54/2.77 tff(903,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.77 inference(transitivity,[status(thm)],[902, 900])).
% 2.54/2.77 tff(904,plain,
% 2.54/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(905,plain,
% 2.54/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[904, 903])).
% 2.54/2.77 tff(906,plain,
% 2.54/2.77 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[905, 91, 899, 816, 835])).
% 2.54/2.77 tff(907,plain,
% 2.54/2.77 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z)))))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(908,plain,
% 2.54/2.77 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z)))))))),
% 2.54/2.77 inference(quant_inst,[status(thm)],[])).
% 2.54/2.77 tff(909,plain,
% 2.54/2.77 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z))))))),
% 2.54/2.77 inference(modus_ponens,[status(thm)],[908, 907])).
% 2.54/2.77 tff(910,plain,
% 2.54/2.77 ((s(s(z)) = s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z))))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[909, 64, 906])).
% 2.54/2.77 tff(911,plain,
% 2.54/2.77 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.54/2.77 inference(unit_resolution,[status(thm)],[910, 786])).
% 2.54/2.77 tff(912,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(913,plain,
% 2.54/2.77 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.54/2.77 inference(rewrite,[status(thm)],[])).
% 2.54/2.77 tff(914,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 2.54/2.77 inference(monotonicity,[status(thm)],[913])).
% 2.54/2.77 tff(915,plain,
% 2.54/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.54/2.78 inference(transitivity,[status(thm)],[914, 912])).
% 2.54/2.78 tff(916,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(917,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[916, 915])).
% 2.54/2.78 tff(918,plain,
% 2.54/2.78 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[917, 91, 899, 816, 835])).
% 2.54/2.78 tff(919,plain,
% 2.54/2.78 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(z))) | b(s(s(s(s(s(z))))), s(s(z))) | r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(z))) | b(s(s(s(s(s(z))))), s(s(z))) | r(s(s(s(s(s(z))))), s(s(z))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(920,plain,
% 2.54/2.78 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(z))) | b(s(s(s(s(s(z))))), s(s(z))) | r(s(s(s(s(s(z))))), s(s(z))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(921,plain,
% 2.54/2.78 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(z))) | b(s(s(s(s(s(z))))), s(s(z))) | r(s(s(s(s(s(z))))), s(s(z)))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[920, 919])).
% 2.54/2.78 tff(922,plain,
% 2.54/2.78 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[921, 64, 785, 918])).
% 2.54/2.78 tff(923,assumption,(b(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 2.54/2.78 tff(924,assumption,(b(s(s(z)), z)), introduced(assumption)).
% 2.54/2.78 tff(925,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(926,plain,
% 2.54/2.78 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), 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(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(927,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))))),
% 2.54/2.78 inference(monotonicity,[status(thm)],[926])).
% 2.54/2.78 tff(928,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 2.54/2.78 inference(transitivity,[status(thm)],[927, 925])).
% 2.54/2.78 tff(929,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(930,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[929, 928])).
% 2.54/2.78 tff(931,plain,
% 2.54/2.78 ($false),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[930, 91, 924, 178, 923, 74])).
% 2.54/2.78 tff(932,plain,((~b(s(s(z)), z)) | (~b(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,[]))).
% 2.54/2.78 tff(933,plain,
% 2.54/2.78 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[932, 899, 178, 74])).
% 2.54/2.78 tff(934,plain,
% 2.54/2.78 (((~![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))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(935,plain,
% 2.54/2.78 ((~![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))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(936,plain,
% 2.54/2.78 ((~![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)))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[935, 934])).
% 2.54/2.78 tff(937,plain,
% 2.54/2.78 ((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)))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[936, 64])).
% 2.54/2.78 tff(938,plain,
% 2.54/2.78 (b(s(s(s(s(z)))), s(s(z))) | r(s(s(s(s(z)))), s(s(z)))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[937, 51])).
% 2.54/2.78 tff(939,plain,
% 2.54/2.78 (r(s(s(s(s(z)))), s(s(z)))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[938, 933])).
% 2.54/2.78 tff(940,plain,
% 2.54/2.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(941,plain,
% 2.54/2.78 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(942,plain,
% 2.54/2.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 2.54/2.78 inference(monotonicity,[status(thm)],[941])).
% 2.54/2.78 tff(943,plain,
% 2.54/2.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(transitivity,[status(thm)],[942, 940])).
% 2.54/2.78 tff(944,plain,
% 2.54/2.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(945,plain,
% 2.54/2.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[944, 943])).
% 2.54/2.78 tff(946,plain,
% 2.54/2.78 ($false),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[945, 125, 939, 824, 922, 911])).
% 2.54/2.78 tff(947,plain,((~r(s(s(s(s(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(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.78 tff(948,plain,
% 2.54/2.78 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[947, 74, 178, 775, 297, 348, 764, 215])).
% 2.54/2.78 tff(949,plain,
% 2.54/2.78 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[369, 948])).
% 2.54/2.78 tff(950,plain,
% 2.54/2.78 (~b(s(s(s(s(s(z))))), z)),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[597, 949, 74, 178])).
% 2.54/2.78 tff(951,plain,
% 2.54/2.78 (r(s(s(s(s(s(z))))), z)),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[427, 950])).
% 2.54/2.78 tff(952,plain,
% 2.54/2.78 (~b(z, s(s(s(s(s(z))))))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[615, 91, 178, 74, 949])).
% 2.54/2.78 tff(953,plain,
% 2.54/2.78 (r(z, s(s(s(s(s(z))))))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[113, 952])).
% 2.54/2.78 tff(954,plain,
% 2.54/2.78 (~r(s(z), z)),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[751, 125, 953, 951, 777])).
% 2.54/2.78 tff(955,plain,
% 2.54/2.78 (b(s(z), z)),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[408, 954])).
% 2.54/2.78 tff(956,plain,
% 2.54/2.78 (~b(s(s(s(s(s(z))))), s(z))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[386, 91, 348, 775, 297])).
% 2.54/2.78 tff(957,plain,
% 2.54/2.78 (r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[394, 956])).
% 2.54/2.78 tff(958,plain,
% 2.54/2.78 (~r(z, s(z))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[511, 953, 957, 777])).
% 2.54/2.78 tff(959,plain,
% 2.54/2.78 (b(z, s(z))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[267, 958])).
% 2.54/2.78 tff(960,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(961,plain,
% 2.54/2.78 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(962,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 2.54/2.78 inference(monotonicity,[status(thm)],[961])).
% 2.54/2.78 tff(963,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(transitivity,[status(thm)],[962, 960])).
% 2.54/2.78 tff(964,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(965,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[964, 963])).
% 2.54/2.78 tff(966,plain,
% 2.54/2.78 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[965, 91, 348, 882, 349, 298])).
% 2.54/2.78 tff(967,plain,
% 2.54/2.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(968,plain,
% 2.54/2.78 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(969,plain,
% 2.54/2.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 2.54/2.78 inference(monotonicity,[status(thm)],[968])).
% 2.54/2.78 tff(970,plain,
% 2.54/2.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 2.54/2.78 inference(transitivity,[status(thm)],[969, 967])).
% 2.54/2.78 tff(971,plain,
% 2.54/2.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(972,plain,
% 2.54/2.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[971, 970])).
% 2.54/2.78 tff(973,plain,
% 2.54/2.78 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[972, 125, 75, 71, 836])).
% 2.54/2.78 tff(974,plain,
% 2.54/2.78 ((s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z))))))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[909, 64, 973])).
% 2.54/2.78 tff(975,plain,
% 2.54/2.78 ($false),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[974, 966, 786])).
% 2.54/2.78 tff(976,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.78 tff(977,plain,
% 2.54/2.78 (~r(s(s(z)), z)),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[976, 949, 348, 775, 953, 951, 764, 215])).
% 2.54/2.78 tff(978,plain,
% 2.54/2.78 (b(s(s(z)), z)),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[898, 977])).
% 2.54/2.78 tff(979,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(980,plain,
% 2.54/2.78 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(981,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 2.54/2.78 inference(monotonicity,[status(thm)],[980])).
% 2.54/2.78 tff(982,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.54/2.78 inference(transitivity,[status(thm)],[981, 979])).
% 2.54/2.78 tff(983,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(984,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[983, 982])).
% 2.54/2.78 tff(985,plain,
% 2.54/2.78 (~b(s(s(z)), s(z))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[984, 91, 978, 959, 955])).
% 2.54/2.78 tff(986,plain,
% 2.54/2.78 (r(s(s(z)), s(z))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[857, 985])).
% 2.54/2.78 tff(987,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(988,plain,
% 2.54/2.78 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), 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(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.78 tff(989,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 2.54/2.78 inference(monotonicity,[status(thm)],[988])).
% 2.54/2.78 tff(990,plain,
% 2.54/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.54/2.78 inference(transitivity,[status(thm)],[989, 987])).
% 2.54/2.78 tff(991,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 2.54/2.78 inference(quant_inst,[status(thm)],[])).
% 2.54/2.78 tff(992,plain,
% 2.54/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 2.54/2.78 inference(modus_ponens,[status(thm)],[991, 990])).
% 2.54/2.78 tff(993,plain,
% 2.54/2.78 (~b(s(z), s(s(z)))),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[992, 91, 978, 178, 74, 955])).
% 2.54/2.78 tff(994,assumption,(s(z) = s(s(z))), introduced(assumption)).
% 2.54/2.78 tff(995,plain,
% 2.54/2.78 (s(s(z)) = s(z)),
% 2.54/2.78 inference(symmetry,[status(thm)],[994])).
% 2.54/2.78 tff(996,plain,
% 2.54/2.78 ($false),
% 2.54/2.78 inference(unit_resolution,[status(thm)],[852, 995])).
% 2.54/2.78 tff(997,plain,(~(s(z) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.78 tff(998,assumption,(~r(s(z), s(s(z)))), introduced(assumption)).
% 2.54/2.78 tff(999,assumption,(~b(s(z), s(s(z)))), introduced(assumption)).
% 2.54/2.78 tff(1000,plain,
% 2.54/2.78 (((~![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))))),
% 2.54/2.78 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1001,plain,
% 2.54/2.79 ((~![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))))),
% 2.54/2.79 inference(quant_inst,[status(thm)],[])).
% 2.54/2.79 tff(1002,plain,
% 2.54/2.79 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(z))) | b(s(z), s(s(z))) | r(s(z), s(s(z)))),
% 2.54/2.79 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 2.54/2.79 tff(1003,plain,
% 2.54/2.79 ($false),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1002, 64, 999, 998, 997])).
% 2.54/2.79 tff(1004,plain,(b(s(z), s(s(z))) | r(s(z), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.79 tff(1005,plain,
% 2.54/2.79 (r(s(z), s(s(z)))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1004, 993])).
% 2.54/2.79 tff(1006,plain,
% 2.54/2.79 (~b(s(s(s(s(z)))), s(z))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[489, 953, 178, 74, 949])).
% 2.54/2.79 tff(1007,plain,
% 2.54/2.79 (r(s(s(s(s(z)))), s(z))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[201, 1006])).
% 2.54/2.79 tff(1008,plain,
% 2.54/2.79 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[932, 978, 178, 74])).
% 2.54/2.79 tff(1009,plain,
% 2.54/2.79 (r(s(s(s(s(z)))), s(s(z)))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[938, 1008])).
% 2.54/2.79 tff(1010,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1011,plain,
% 2.54/2.79 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1012,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z)))))),
% 2.54/2.79 inference(monotonicity,[status(thm)],[1011])).
% 2.54/2.79 tff(1013,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 2.54/2.79 inference(transitivity,[status(thm)],[1012, 1010])).
% 2.54/2.79 tff(1014,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.54/2.79 inference(quant_inst,[status(thm)],[])).
% 2.54/2.79 tff(1015,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z)))),
% 2.54/2.79 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 2.54/2.79 tff(1016,plain,
% 2.54/2.79 ($false),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1015, 125, 1009, 1007, 1005, 986])).
% 2.54/2.79 tff(1017,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.79 tff(1018,plain,
% 2.54/2.79 (~b(s(s(s(s(z)))), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1017, 348, 317, 215, 297, 70, 347])).
% 2.54/2.79 tff(1019,plain,
% 2.54/2.79 (r(s(s(s(s(z)))), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[314, 1018])).
% 2.54/2.79 tff(1020,assumption,(r(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.54/2.79 tff(1021,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1022,plain,
% 2.54/2.79 (((~r(z, 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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1023,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.54/2.79 inference(monotonicity,[status(thm)],[1022])).
% 2.54/2.79 tff(1024,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(transitivity,[status(thm)],[1023, 1021])).
% 2.54/2.79 tff(1025,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(quant_inst,[status(thm)],[])).
% 2.54/2.79 tff(1026,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.54/2.79 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 2.54/2.79 tff(1027,plain,
% 2.54/2.79 ($false),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1026, 125, 765, 215, 1020, 347])).
% 2.54/2.79 tff(1028,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.79 tff(1029,plain,
% 2.54/2.79 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1028, 1019, 347, 215])).
% 2.54/2.79 tff(1030,plain,
% 2.54/2.79 (b(s(s(s(s(s(s(z)))))), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[763, 1029])).
% 2.54/2.79 tff(1031,plain,
% 2.54/2.79 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1028, 1020, 347, 215])).
% 2.54/2.79 tff(1032,plain,
% 2.54/2.79 (b(s(s(s(s(s(s(z)))))), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[763, 1031])).
% 2.54/2.79 tff(1033,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1034,plain,
% 2.54/2.79 (((~r(z, 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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1035,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(monotonicity,[status(thm)],[1034])).
% 2.54/2.79 tff(1036,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.54/2.79 inference(transitivity,[status(thm)],[1035, 1033])).
% 2.54/2.79 tff(1037,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.54/2.79 inference(quant_inst,[status(thm)],[])).
% 2.54/2.79 tff(1038,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.54/2.79 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 2.54/2.79 tff(1039,plain,
% 2.54/2.79 ($false),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1038, 125, 215, 71, 1020, 347, 115])).
% 2.54/2.79 tff(1040,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.79 tff(1041,plain,
% 2.54/2.79 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1040, 71, 347, 215, 1020])).
% 2.54/2.79 tff(1042,plain,
% 2.54/2.79 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[689, 1041])).
% 2.54/2.79 tff(1043,plain,
% 2.54/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1044,plain,
% 2.54/2.79 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1045,plain,
% 2.54/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 2.54/2.79 inference(monotonicity,[status(thm)],[1044])).
% 2.54/2.79 tff(1046,plain,
% 2.54/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.54/2.79 inference(transitivity,[status(thm)],[1045, 1043])).
% 2.54/2.79 tff(1047,plain,
% 2.54/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(quant_inst,[status(thm)],[])).
% 2.54/2.79 tff(1048,plain,
% 2.54/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 2.54/2.79 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 2.54/2.79 tff(1049,plain,
% 2.54/2.79 ($false),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1048, 91, 178, 348, 669, 72, 316, 297])).
% 2.54/2.79 tff(1050,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.79 tff(1051,plain,
% 2.54/2.79 (~b(s(z), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1050, 1042, 348, 178, 1032, 297])).
% 2.54/2.79 tff(1052,plain,
% 2.54/2.79 (r(s(z), z)),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[408, 1051])).
% 2.54/2.79 tff(1053,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1054,plain,
% 2.54/2.79 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1055,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))))),
% 2.54/2.79 inference(monotonicity,[status(thm)],[1054])).
% 2.54/2.79 tff(1056,plain,
% 2.54/2.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 2.54/2.79 inference(transitivity,[status(thm)],[1055, 1053])).
% 2.54/2.79 tff(1057,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 2.54/2.79 inference(quant_inst,[status(thm)],[])).
% 2.54/2.79 tff(1058,plain,
% 2.54/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))),
% 2.54/2.79 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 2.54/2.79 tff(1059,plain,
% 2.54/2.79 ($false),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1058, 125, 215, 544, 411, 1020, 347])).
% 2.54/2.79 tff(1060,plain,((~r(s(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.79 tff(1061,plain,
% 2.54/2.79 (~r(s(s(s(s(z)))), s(z))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[1060, 1052, 215, 1020, 347])).
% 2.54/2.79 tff(1062,plain,
% 2.54/2.79 (b(s(s(s(s(z)))), s(z))),
% 2.54/2.79 inference(unit_resolution,[status(thm)],[201, 1061])).
% 2.54/2.79 tff(1063,plain,
% 2.54/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1064,plain,
% 2.54/2.79 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.79 inference(rewrite,[status(thm)],[])).
% 2.54/2.79 tff(1065,plain,
% 2.54/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.54/2.80 inference(monotonicity,[status(thm)],[1064])).
% 2.54/2.80 tff(1066,plain,
% 2.54/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.54/2.80 inference(transitivity,[status(thm)],[1065, 1063])).
% 2.54/2.80 tff(1067,plain,
% 2.54/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.54/2.80 inference(quant_inst,[status(thm)],[])).
% 2.54/2.80 tff(1068,plain,
% 2.54/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.54/2.80 inference(modus_ponens,[status(thm)],[1067, 1066])).
% 2.54/2.80 tff(1069,plain,
% 2.54/2.80 ($false),
% 2.54/2.80 inference(unit_resolution,[status(thm)],[1068, 91, 77, 348, 669, 177, 349, 297])).
% 2.54/2.80 tff(1070,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.80 tff(1071,plain,
% 2.54/2.80 (~b(s(s(s(s(s(z))))), s(z))),
% 2.54/2.80 inference(unit_resolution,[status(thm)],[1070, 1042, 348, 1062, 349, 297])).
% 2.54/2.80 tff(1072,plain,
% 2.54/2.80 (r(s(s(s(s(s(z))))), s(z))),
% 2.54/2.80 inference(unit_resolution,[status(thm)],[394, 1071])).
% 2.54/2.80 tff(1073,assumption,(b(z, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.54/2.80 tff(1074,plain,
% 2.54/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.54/2.80 inference(rewrite,[status(thm)],[])).
% 2.54/2.80 tff(1075,plain,
% 2.54/2.80 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.54/2.80 inference(rewrite,[status(thm)],[])).
% 2.54/2.80 tff(1076,plain,
% 2.54/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.64/2.80 inference(monotonicity,[status(thm)],[1075])).
% 2.64/2.80 tff(1077,plain,
% 2.64/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.64/2.80 inference(transitivity,[status(thm)],[1076, 1074])).
% 2.64/2.80 tff(1078,plain,
% 2.64/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.64/2.80 inference(quant_inst,[status(thm)],[])).
% 2.64/2.80 tff(1079,plain,
% 2.64/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.64/2.80 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 2.64/2.80 tff(1080,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1079, 91, 79, 81, 348, 1073])).
% 2.64/2.80 tff(1081,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1082,plain,
% 2.64/2.80 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1081, 79, 81, 348])).
% 2.64/2.80 tff(1083,assumption,(z = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.64/2.80 tff(1084,plain,
% 2.64/2.80 (s(s(s(s(s(s(z)))))) = z),
% 2.64/2.80 inference(symmetry,[status(thm)],[1083])).
% 2.64/2.80 tff(1085,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[758, 1084])).
% 2.64/2.80 tff(1086,plain,(~(z = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1087,assumption,(~b(z, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.80 tff(1088,assumption,(~r(z, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.80 tff(1089,plain,
% 2.64/2.80 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(s(z))))))) | b(z, s(s(s(s(s(s(z))))))) | r(z, s(s(s(s(s(s(z))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(s(s(z))))))) | b(z, s(s(s(s(s(s(z))))))) | r(z, s(s(s(s(s(s(z))))))))),
% 2.64/2.80 inference(rewrite,[status(thm)],[])).
% 2.64/2.80 tff(1090,plain,
% 2.64/2.80 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(s(z))))))) | b(z, s(s(s(s(s(s(z))))))) | r(z, s(s(s(s(s(s(z))))))))),
% 2.64/2.80 inference(quant_inst,[status(thm)],[])).
% 2.64/2.80 tff(1091,plain,
% 2.64/2.80 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(s(s(z))))))) | b(z, s(s(s(s(s(s(z))))))) | r(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.80 inference(modus_ponens,[status(thm)],[1090, 1089])).
% 2.64/2.80 tff(1092,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1091, 64, 1088, 1087, 1086])).
% 2.64/2.80 tff(1093,plain,(r(z, s(s(s(s(s(s(z))))))) | b(z, s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1094,plain,
% 2.64/2.80 (r(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1093, 1082])).
% 2.64/2.80 tff(1095,plain,
% 2.64/2.80 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1028, 1094, 1020, 347])).
% 2.64/2.80 tff(1096,plain,
% 2.64/2.80 (b(s(s(s(s(s(s(z)))))), z)),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[763, 1095])).
% 2.64/2.80 tff(1097,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[417, 91, 79, 81, 348, 1096])).
% 2.64/2.80 tff(1098,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1099,plain,
% 2.64/2.80 (~b(s(s(s(s(s(z))))), z)),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1098, 81, 347, 348, 1020])).
% 2.64/2.80 tff(1100,plain,
% 2.64/2.80 (r(s(s(s(s(s(z))))), z)),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[427, 1099])).
% 2.64/2.80 tff(1101,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1040, 1100, 690, 347, 215, 1020])).
% 2.64/2.80 tff(1102,plain,((~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1103,plain,
% 2.64/2.80 (~b(z, s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1102, 349, 215, 1020, 348, 347, 178])).
% 2.64/2.80 tff(1104,plain,
% 2.64/2.80 (r(z, s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[113, 1103])).
% 2.64/2.80 tff(1105,plain,
% 2.64/2.80 (~r(z, s(z))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[447, 1072, 71, 1052])).
% 2.64/2.80 tff(1106,plain,
% 2.64/2.80 (b(z, s(z))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[267, 1105])).
% 2.64/2.80 tff(1107,plain,
% 2.64/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.80 inference(rewrite,[status(thm)],[])).
% 2.64/2.80 tff(1108,plain,
% 2.64/2.80 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.80 inference(rewrite,[status(thm)],[])).
% 2.64/2.80 tff(1109,plain,
% 2.64/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.64/2.80 inference(monotonicity,[status(thm)],[1108])).
% 2.64/2.80 tff(1110,plain,
% 2.64/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.80 inference(transitivity,[status(thm)],[1109, 1107])).
% 2.64/2.80 tff(1111,plain,
% 2.64/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 2.64/2.80 inference(quant_inst,[status(thm)],[])).
% 2.64/2.80 tff(1112,plain,
% 2.64/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.64/2.80 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 2.64/2.80 tff(1113,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1112, 91, 565, 429, 178, 669, 349])).
% 2.64/2.80 tff(1114,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1115,plain,
% 2.64/2.80 (~b(s(z), s(s(s(s(z)))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1114, 1106, 178, 1042, 349])).
% 2.64/2.80 tff(1116,plain,
% 2.64/2.80 (r(s(z), s(s(s(s(z)))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[563, 1115])).
% 2.64/2.80 tff(1117,plain,
% 2.64/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.80 inference(rewrite,[status(thm)],[])).
% 2.64/2.80 tff(1118,plain,
% 2.64/2.80 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.80 inference(rewrite,[status(thm)],[])).
% 2.64/2.80 tff(1119,plain,
% 2.64/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 2.64/2.80 inference(monotonicity,[status(thm)],[1118])).
% 2.64/2.80 tff(1120,plain,
% 2.64/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.80 inference(transitivity,[status(thm)],[1119, 1117])).
% 2.64/2.80 tff(1121,plain,
% 2.64/2.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.80 inference(quant_inst,[status(thm)],[])).
% 2.64/2.80 tff(1122,plain,
% 2.64/2.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 2.64/2.80 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 2.64/2.80 tff(1123,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1122, 125, 75, 135, 411, 1020, 136])).
% 2.64/2.80 tff(1124,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1125,plain,
% 2.64/2.80 (~r(s(z), s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1124, 1116, 1104, 1052, 1020])).
% 2.64/2.80 tff(1126,plain,
% 2.64/2.80 (b(s(z), s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[163, 1125])).
% 2.64/2.80 tff(1127,plain,
% 2.64/2.80 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[501, 1126, 348, 297])).
% 2.64/2.80 tff(1128,plain,
% 2.64/2.80 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[246, 1127])).
% 2.64/2.80 tff(1129,plain,
% 2.64/2.80 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[664, 1126, 178, 1032, 349, 1106])).
% 2.64/2.80 tff(1130,plain,
% 2.64/2.80 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[542, 1129])).
% 2.64/2.80 tff(1131,plain,
% 2.64/2.80 ($false),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[654, 1130, 1128, 215, 71, 1072])).
% 2.64/2.80 tff(1132,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.80 tff(1133,plain,
% 2.64/2.80 (~r(s(s(s(s(s(z))))), z)),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1132, 349, 317, 215, 348, 297, 1019, 347])).
% 2.64/2.80 tff(1134,plain,
% 2.64/2.80 (b(s(s(s(s(s(z))))), z)),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[427, 1133])).
% 2.64/2.80 tff(1135,plain,
% 2.64/2.80 (~b(z, s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1102, 349, 215, 1019, 348, 347, 317])).
% 2.64/2.80 tff(1136,plain,
% 2.64/2.80 (r(z, s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[113, 1135])).
% 2.64/2.80 tff(1137,plain,
% 2.64/2.80 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[1050, 72, 348, 178, 316, 297])).
% 2.64/2.80 tff(1138,plain,
% 2.64/2.80 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.64/2.80 inference(unit_resolution,[status(thm)],[689, 1137])).
% 2.64/2.80 tff(1139,plain,
% 2.64/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.80 inference(rewrite,[status(thm)],[])).
% 2.64/2.80 tff(1140,plain,
% 2.64/2.80 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.80 inference(rewrite,[status(thm)],[])).
% 2.64/2.80 tff(1141,plain,
% 2.64/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.64/2.80 inference(monotonicity,[status(thm)],[1140])).
% 2.64/2.80 tff(1142,plain,
% 2.64/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.81 inference(transitivity,[status(thm)],[1141, 1139])).
% 2.64/2.81 tff(1143,plain,
% 2.64/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.64/2.81 inference(quant_inst,[status(thm)],[])).
% 2.64/2.81 tff(1144,plain,
% 2.64/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.64/2.81 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 2.64/2.81 tff(1145,plain,
% 2.64/2.81 ($false),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1144, 125, 75, 1020, 347, 216, 115])).
% 2.64/2.81 tff(1146,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.81 tff(1147,plain,
% 2.64/2.81 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1146, 1138, 347, 1020, 75])).
% 2.64/2.81 tff(1148,plain,
% 2.64/2.81 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[246, 1147])).
% 2.64/2.81 tff(1149,plain,
% 2.64/2.81 (~b(s(z), s(s(s(s(s(z))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[501, 1148, 348, 297])).
% 2.64/2.81 tff(1150,plain,
% 2.64/2.81 (r(s(z), s(s(s(s(s(z))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[163, 1149])).
% 2.64/2.81 tff(1151,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1152,plain,
% 2.64/2.81 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1153,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 2.64/2.81 inference(monotonicity,[status(thm)],[1152])).
% 2.64/2.81 tff(1154,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.81 inference(transitivity,[status(thm)],[1153, 1151])).
% 2.64/2.81 tff(1155,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.64/2.81 inference(quant_inst,[status(thm)],[])).
% 2.64/2.81 tff(1156,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 2.64/2.81 inference(modus_ponens,[status(thm)],[1155, 1154])).
% 2.64/2.81 tff(1157,plain,
% 2.64/2.81 ($false),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1156, 91, 77, 79, 178, 348, 177, 316])).
% 2.64/2.81 tff(1158,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.81 tff(1159,plain,
% 2.64/2.81 (~b(s(s(s(s(z)))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1158, 77, 178, 79, 348, 316])).
% 2.64/2.81 tff(1160,plain,
% 2.64/2.81 (r(s(s(s(s(z)))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[201, 1159])).
% 2.64/2.81 tff(1161,plain,
% 2.64/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1162,plain,
% 2.64/2.81 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1163,plain,
% 2.64/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 2.64/2.81 inference(monotonicity,[status(thm)],[1162])).
% 2.64/2.81 tff(1164,plain,
% 2.64/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 2.64/2.81 inference(transitivity,[status(thm)],[1163, 1161])).
% 2.64/2.81 tff(1165,plain,
% 2.64/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 2.64/2.81 inference(quant_inst,[status(thm)],[])).
% 2.64/2.81 tff(1166,plain,
% 2.64/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 2.64/2.81 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 2.64/2.81 tff(1167,plain,
% 2.64/2.81 ($false),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1166, 125, 1160, 1020, 268, 115, 136])).
% 2.64/2.81 tff(1168,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.81 tff(1169,plain,
% 2.64/2.81 (~b(s(s(s(s(s(z))))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1168, 1138, 1020, 1150, 79, 178, 72, 348, 316])).
% 2.64/2.81 tff(1170,plain,
% 2.64/2.81 (r(s(s(s(s(s(z))))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[394, 1169])).
% 2.64/2.81 tff(1171,plain,
% 2.64/2.81 (~r(s(s(s(s(z)))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[698, 1170, 1138, 1150])).
% 2.64/2.81 tff(1172,plain,
% 2.64/2.81 (b(s(s(s(s(z)))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[201, 1171])).
% 2.64/2.81 tff(1173,plain,
% 2.64/2.81 (~r(z, s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[511, 1170, 75, 1150])).
% 2.64/2.81 tff(1174,plain,
% 2.64/2.81 (b(z, s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[267, 1173])).
% 2.64/2.81 tff(1175,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1176,plain,
% 2.64/2.81 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), 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(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1177,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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))))),
% 2.64/2.81 inference(monotonicity,[status(thm)],[1176])).
% 2.64/2.81 tff(1178,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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)))),
% 2.64/2.81 inference(transitivity,[status(thm)],[1177, 1175])).
% 2.64/2.81 tff(1179,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.81 inference(quant_inst,[status(thm)],[])).
% 2.64/2.81 tff(1180,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 2.64/2.81 inference(modus_ponens,[status(thm)],[1179, 1178])).
% 2.64/2.81 tff(1181,plain,
% 2.64/2.81 ($false),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1180, 91, 429, 178, 177, 72])).
% 2.64/2.81 tff(1182,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.81 tff(1183,plain,
% 2.64/2.81 ($false),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1182, 1174, 1172, 178, 72])).
% 2.64/2.81 tff(1184,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.81 tff(1185,plain,
% 2.64/2.81 (~b(s(z), z)),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1184, 1136, 317, 1019, 1134, 348, 1030, 297, 347])).
% 2.64/2.81 tff(1186,plain,
% 2.64/2.81 (r(s(z), z)),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[408, 1185])).
% 2.64/2.81 tff(1187,plain,
% 2.64/2.81 (~r(s(s(s(s(z)))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1060, 1186, 215, 1019, 347])).
% 2.64/2.81 tff(1188,plain,
% 2.64/2.81 (b(s(s(s(s(z)))), s(z))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[201, 1187])).
% 2.64/2.81 tff(1189,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(z, s(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(X1, 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(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1190,plain,
% 2.64/2.81 (((~b(s(z), s(s(s(s(z)))))) | (~b(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(s(z))))), s(s(s(s(z)))))) | (~b(s(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(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1191,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.64/2.81 inference(monotonicity,[status(thm)],[1190])).
% 2.64/2.81 tff(1192,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.81 inference(transitivity,[status(thm)],[1191, 1189])).
% 2.64/2.81 tff(1193,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.64/2.81 inference(quant_inst,[status(thm)],[])).
% 2.64/2.81 tff(1194,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.64/2.81 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 2.64/2.81 tff(1195,plain,
% 2.64/2.81 ($false),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1194, 91, 565, 79, 178, 177, 349])).
% 2.64/2.81 tff(1196,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.81 tff(1197,plain,
% 2.64/2.81 (~b(s(z), s(s(s(s(z)))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1196, 1188, 317, 349, 1134])).
% 2.64/2.81 tff(1198,plain,
% 2.64/2.81 (r(s(z), s(s(s(s(z)))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[563, 1197])).
% 2.64/2.81 tff(1199,plain,
% 2.64/2.81 (~r(s(z), s(s(s(s(s(z))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1124, 1198, 1136, 1186, 1019])).
% 2.64/2.81 tff(1200,plain,
% 2.64/2.81 (b(s(z), s(s(s(s(s(z))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[163, 1199])).
% 2.64/2.81 tff(1201,plain,
% 2.64/2.81 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[501, 1200, 348, 297])).
% 2.64/2.81 tff(1202,plain,
% 2.64/2.81 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[246, 1201])).
% 2.64/2.81 tff(1203,plain,
% 2.64/2.81 (r(z, s(s(s(s(s(z))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[113, 101])).
% 2.64/2.81 tff(1204,plain,
% 2.64/2.81 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[689, 684])).
% 2.64/2.81 tff(1205,plain,
% 2.64/2.81 (r(s(s(s(s(z)))), z)),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[314, 309])).
% 2.64/2.81 tff(1206,plain,
% 2.64/2.81 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1146, 1205, 1203, 216, 1204])).
% 2.64/2.81 tff(1207,plain,
% 2.64/2.81 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[336, 1206])).
% 2.64/2.81 tff(1208,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1209,plain,
% 2.64/2.81 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(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(z), 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(s(z), z)))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1210,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 2.64/2.81 inference(monotonicity,[status(thm)],[1209])).
% 2.64/2.81 tff(1211,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.64/2.81 inference(transitivity,[status(thm)],[1210, 1208])).
% 2.64/2.81 tff(1212,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))),
% 2.64/2.81 inference(quant_inst,[status(thm)],[])).
% 2.64/2.81 tff(1213,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 2.64/2.81 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 2.64/2.81 tff(1214,plain,
% 2.64/2.81 (~b(s(z), z)),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1213, 91, 565, 178, 177])).
% 2.64/2.81 tff(1215,plain,
% 2.64/2.81 (r(s(z), z)),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[408, 1214])).
% 2.64/2.81 tff(1216,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1217,plain,
% 2.64/2.81 (((~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(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(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.81 inference(rewrite,[status(thm)],[])).
% 2.64/2.81 tff(1218,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 2.64/2.81 inference(monotonicity,[status(thm)],[1217])).
% 2.64/2.81 tff(1219,plain,
% 2.64/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.81 inference(transitivity,[status(thm)],[1218, 1216])).
% 2.64/2.81 tff(1220,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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)))))))),
% 2.64/2.81 inference(quant_inst,[status(thm)],[])).
% 2.64/2.81 tff(1221,plain,
% 2.64/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 2.64/2.81 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 2.64/2.81 tff(1222,plain,
% 2.64/2.81 ($false),
% 2.64/2.81 inference(unit_resolution,[status(thm)],[1221, 91, 565, 429, 178, 318, 177])).
% 2.64/2.82 tff(1223,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.82 tff(1224,plain,
% 2.64/2.82 (~b(z, s(z))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1223, 565, 178, 318, 177])).
% 2.64/2.82 tff(1225,plain,
% 2.64/2.82 (r(z, s(z))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[267, 1224])).
% 2.64/2.82 tff(1226,plain,
% 2.64/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1227,plain,
% 2.64/2.82 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(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)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1228,plain,
% 2.64/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.64/2.82 inference(monotonicity,[status(thm)],[1227])).
% 2.64/2.82 tff(1229,plain,
% 2.64/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.82 inference(transitivity,[status(thm)],[1228, 1226])).
% 2.64/2.82 tff(1230,plain,
% 2.64/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.64/2.82 inference(quant_inst,[status(thm)],[])).
% 2.64/2.82 tff(1231,plain,
% 2.64/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.64/2.82 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 2.64/2.82 tff(1232,plain,
% 2.64/2.82 ($false),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1231, 91, 565, 318, 177, 526])).
% 2.64/2.82 tff(1233,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(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(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.82 tff(1234,plain,
% 2.64/2.82 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1233, 565, 318, 177])).
% 2.64/2.82 tff(1235,plain,
% 2.64/2.82 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[542, 1234])).
% 2.64/2.82 tff(1236,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1237,plain,
% 2.64/2.82 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1238,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))))),
% 2.64/2.82 inference(monotonicity,[status(thm)],[1237])).
% 2.64/2.82 tff(1239,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 2.64/2.82 inference(transitivity,[status(thm)],[1238, 1236])).
% 2.64/2.82 tff(1240,plain,
% 2.64/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.82 inference(quant_inst,[status(thm)],[])).
% 2.64/2.82 tff(1241,plain,
% 2.64/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))),
% 2.64/2.82 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 2.64/2.82 tff(1242,plain,
% 2.64/2.82 ($false),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1241, 125, 765, 411, 270, 545])).
% 2.64/2.82 tff(1243,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.82 tff(1244,plain,
% 2.64/2.82 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1243, 1235, 1225, 1215])).
% 2.64/2.82 tff(1245,plain,
% 2.64/2.82 (b(s(s(s(s(s(s(z)))))), z)),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[763, 1244])).
% 2.64/2.82 tff(1246,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1247,plain,
% 2.64/2.82 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1248,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 2.64/2.82 inference(monotonicity,[status(thm)],[1247])).
% 2.64/2.82 tff(1249,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 2.64/2.82 inference(transitivity,[status(thm)],[1248, 1246])).
% 2.64/2.82 tff(1250,plain,
% 2.64/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 2.64/2.82 inference(quant_inst,[status(thm)],[])).
% 2.64/2.82 tff(1251,plain,
% 2.64/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 2.64/2.82 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 2.64/2.82 tff(1252,plain,
% 2.64/2.82 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1251, 125, 75, 1225, 216, 1235])).
% 2.64/2.82 tff(1253,plain,
% 2.64/2.82 (b(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1093, 1252])).
% 2.64/2.82 tff(1254,plain,
% 2.64/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1255,plain,
% 2.64/2.82 (((~b(z, s(s(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)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1256,plain,
% 2.64/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(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)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 2.64/2.82 inference(monotonicity,[status(thm)],[1255])).
% 2.64/2.82 tff(1257,plain,
% 2.64/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(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)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.82 inference(transitivity,[status(thm)],[1256, 1254])).
% 2.64/2.82 tff(1258,plain,
% 2.64/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(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)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.82 inference(quant_inst,[status(thm)],[])).
% 2.64/2.82 tff(1259,plain,
% 2.64/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 2.64/2.82 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 2.64/2.82 tff(1260,plain,
% 2.64/2.82 ($false),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1259, 91, 178, 1253, 318, 1245])).
% 2.64/2.82 tff(1261,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.82 tff(1262,plain,
% 2.64/2.82 (~b(s(z), s(s(s(s(z)))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1261, 1207, 317, 1203, 216, 177])).
% 2.64/2.82 tff(1263,plain,
% 2.64/2.82 (r(s(z), s(s(s(s(z)))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[563, 1262])).
% 2.64/2.82 tff(1264,plain,
% 2.64/2.82 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1146, 1205, 1203, 216, 115])).
% 2.64/2.82 tff(1265,plain,
% 2.64/2.82 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[336, 1264])).
% 2.64/2.82 tff(1266,plain,
% 2.64/2.82 (~b(s(z), s(s(s(s(z)))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1261, 1265, 317, 1203, 216, 177])).
% 2.64/2.82 tff(1267,plain,
% 2.64/2.82 (r(s(z), s(s(s(s(z)))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[563, 1266])).
% 2.64/2.82 tff(1268,plain,
% 2.64/2.82 (r(z, s(z))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[267, 262])).
% 2.64/2.82 tff(1269,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1270,plain,
% 2.64/2.82 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1271,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.64/2.82 inference(monotonicity,[status(thm)],[1270])).
% 2.64/2.82 tff(1272,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.82 inference(transitivity,[status(thm)],[1271, 1269])).
% 2.64/2.82 tff(1273,plain,
% 2.64/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.82 inference(quant_inst,[status(thm)],[])).
% 2.64/2.82 tff(1274,plain,
% 2.64/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.64/2.82 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 2.64/2.82 tff(1275,plain,
% 2.64/2.82 ($false),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1274, 125, 765, 204, 135, 1020, 545])).
% 2.64/2.82 tff(1276,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.82 tff(1277,plain,
% 2.64/2.82 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1276, 545, 204, 1020, 135])).
% 2.64/2.82 tff(1278,plain,
% 2.64/2.82 (b(s(s(s(s(s(s(z)))))), z)),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[763, 1277])).
% 2.64/2.82 tff(1279,plain,
% 2.64/2.82 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1251, 125, 75, 270, 216, 545])).
% 2.64/2.82 tff(1280,plain,
% 2.64/2.82 (b(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1093, 1279])).
% 2.64/2.82 tff(1281,plain,
% 2.64/2.82 ($false),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1259, 91, 178, 1280, 318, 1278])).
% 2.64/2.82 tff(1282,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.82 tff(1283,plain,
% 2.64/2.82 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[1282, 1268, 1265, 1203, 317, 216, 204, 1205, 1267])).
% 2.64/2.82 tff(1284,plain,
% 2.64/2.82 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.64/2.82 inference(unit_resolution,[status(thm)],[542, 1283])).
% 2.64/2.82 tff(1285,assumption,(~(s(elem!1) = s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.82 tff(1286,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1287,plain,
% 2.64/2.82 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.82 inference(rewrite,[status(thm)],[])).
% 2.64/2.82 tff(1288,plain,
% 2.64/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.64/2.83 inference(monotonicity,[status(thm)],[1287])).
% 2.64/2.83 tff(1289,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.83 inference(transitivity,[status(thm)],[1288, 1286])).
% 2.64/2.83 tff(1290,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
% 2.64/2.83 tff(1291,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 2.64/2.83 tff(1292,plain,
% 2.64/2.83 ($false),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1291, 125, 75, 71, 1020, 115])).
% 2.64/2.83 tff(1293,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.83 tff(1294,plain,
% 2.64/2.83 (~r(s(s(s(s(s(z))))), z)),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1293, 1205, 1203, 115])).
% 2.64/2.83 tff(1295,plain,
% 2.64/2.83 (b(s(s(s(s(s(z))))), z)),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[427, 1294])).
% 2.64/2.83 tff(1296,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1297,plain,
% 2.64/2.83 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1298,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 2.64/2.83 inference(monotonicity,[status(thm)],[1297])).
% 2.64/2.83 tff(1299,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.83 inference(transitivity,[status(thm)],[1298, 1296])).
% 2.64/2.83 tff(1300,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
% 2.64/2.83 tff(1301,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.64/2.83 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 2.64/2.83 tff(1302,plain,
% 2.64/2.83 ($false),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1301, 125, 765, 75, 203, 204, 1020])).
% 2.64/2.83 tff(1303,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.83 tff(1304,plain,
% 2.64/2.83 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1303, 765, 1203, 204, 1205])).
% 2.64/2.83 tff(1305,assumption,(~(s(s(s(s(s(s(z)))))) = s(s(s(s(s(z))))))), introduced(assumption)).
% 2.64/2.83 tff(1306,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.64/2.83 tff(1307,assumption,(~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.64/2.83 tff(1308,plain,
% 2.64/2.83 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1309,plain,
% 2.64/2.83 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
% 2.64/2.83 tff(1310,plain,
% 2.64/2.83 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 2.64/2.83 tff(1311,plain,
% 2.64/2.83 ($false),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1310, 64, 1307, 1306, 1305])).
% 2.64/2.83 tff(1312,plain,(r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (s(s(s(s(s(s(z)))))) = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.83 tff(1313,plain,
% 2.64/2.83 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1312, 238])).
% 2.64/2.83 tff(1314,plain,
% 2.64/2.83 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1313, 1304])).
% 2.64/2.83 tff(1315,plain,
% 2.64/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1316,plain,
% 2.64/2.83 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1317,plain,
% 2.64/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 2.64/2.83 inference(monotonicity,[status(thm)],[1316])).
% 2.64/2.83 tff(1318,plain,
% 2.64/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.64/2.83 inference(transitivity,[status(thm)],[1317, 1315])).
% 2.64/2.83 tff(1319,plain,
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% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
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% 2.64/2.83 inference(modus_ponens,[status(thm)],[1319, 1318])).
% 2.64/2.83 tff(1321,plain,
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% 2.64/2.83 tff(1323,plain,
% 2.64/2.83 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1322, 1314, 72, 1265, 177, 1295])).
% 2.64/2.83 tff(1324,plain,
% 2.64/2.83 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[295, 1323])).
% 2.64/2.83 tff(1325,assumption,(s(z) = s(s(elem!1))), introduced(assumption)).
% 2.64/2.83 tff(1326,plain,
% 2.64/2.83 (inj_0(s(z)) = inj_0(s(s(elem!1)))),
% 2.64/2.83 inference(monotonicity,[status(thm)],[1325])).
% 2.64/2.83 tff(1327,plain,
% 2.64/2.83 (inj_0(s(s(elem!1))) = inj_0(s(z))),
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% 2.64/2.83 tff(1328,plain,
% 2.64/2.83 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(elem!1))) = s(elem!1))),
% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
% 2.64/2.83 tff(1329,plain,
% 2.64/2.83 (inj_0(s(s(elem!1))) = s(elem!1)),
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% 2.64/2.83 inference(symmetry,[status(thm)],[1329])).
% 2.64/2.83 tff(1331,plain,
% 2.64/2.83 (s(elem!1) = z),
% 2.64/2.83 inference(transitivity,[status(thm)],[1330, 1327, 29])).
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% 2.64/2.83 tff(1333,plain,
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% 2.64/2.83 inference(unit_resolution,[status(thm)],[1332, 47])).
% 2.64/2.83 tff(1334,plain,
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% 2.64/2.83 inference(unit_resolution,[status(thm)],[1333, 1331])).
% 2.64/2.83 tff(1335,plain,(~(s(z) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.83 tff(1336,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
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% 2.64/2.83 tff(1337,plain,
% 2.64/2.83 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1338,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.64/2.83 inference(monotonicity,[status(thm)],[1337])).
% 2.64/2.83 tff(1339,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.64/2.83 inference(transitivity,[status(thm)],[1338, 1336])).
% 2.64/2.83 tff(1340,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
% 2.64/2.83 tff(1341,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))),
% 2.64/2.83 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 2.64/2.83 tff(1342,plain,
% 2.64/2.83 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1341, 125, 204, 1267, 216])).
% 2.64/2.83 tff(1343,plain,
% 2.64/2.83 (~r(s(z), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1342, 1324])).
% 2.64/2.83 tff(1344,plain,
% 2.64/2.83 (b(s(z), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[163, 1343])).
% 2.64/2.83 tff(1345,plain,
% 2.64/2.83 (~r(s(s(s(s(s(z))))), z)),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1293, 1205, 75, 115])).
% 2.64/2.83 tff(1346,plain,
% 2.64/2.83 (b(s(s(s(s(s(z))))), z)),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[427, 1345])).
% 2.64/2.83 tff(1347,plain,
% 2.64/2.83 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1146, 1205, 75, 216, 115])).
% 2.64/2.83 tff(1348,plain,
% 2.64/2.83 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[336, 1347])).
% 2.64/2.83 tff(1349,plain,
% 2.64/2.83 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1303, 765, 75, 204, 1205])).
% 2.64/2.83 tff(1350,plain,
% 2.64/2.83 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1313, 1349])).
% 2.64/2.83 tff(1351,plain,
% 2.64/2.83 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1322, 1350, 72, 1348, 177, 1346])).
% 2.64/2.83 tff(1352,plain,
% 2.64/2.83 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[295, 1351])).
% 2.64/2.83 tff(1353,plain,
% 2.64/2.83 (~b(s(z), s(s(s(s(z)))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1261, 1348, 317, 75, 216, 177])).
% 2.64/2.83 tff(1354,plain,
% 2.64/2.83 (r(s(z), s(s(s(s(z)))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[563, 1353])).
% 2.64/2.83 tff(1355,plain,
% 2.64/2.83 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1341, 125, 204, 1354, 216])).
% 2.64/2.83 tff(1356,plain,
% 2.64/2.83 (~r(s(z), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1355, 1352])).
% 2.64/2.83 tff(1357,plain,
% 2.64/2.83 (b(s(z), s(s(s(s(s(z))))))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[163, 1356])).
% 2.64/2.83 tff(1358,plain,
% 2.64/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1359,plain,
% 2.64/2.83 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1360,plain,
% 2.64/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.64/2.83 inference(monotonicity,[status(thm)],[1359])).
% 2.64/2.83 tff(1361,plain,
% 2.64/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.83 inference(transitivity,[status(thm)],[1360, 1358])).
% 2.64/2.83 tff(1362,plain,
% 2.64/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
% 2.64/2.83 tff(1363,plain,
% 2.64/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.64/2.83 inference(modus_ponens,[status(thm)],[1362, 1361])).
% 2.64/2.83 tff(1364,plain,
% 2.64/2.83 (~b(s(s(s(s(s(z))))), s(z))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[1363, 91, 1346, 1357, 1350, 526])).
% 2.64/2.83 tff(1365,plain,
% 2.64/2.83 (r(s(s(s(s(s(z))))), s(z))),
% 2.64/2.83 inference(unit_resolution,[status(thm)],[394, 1364])).
% 2.64/2.83 tff(1366,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1367,plain,
% 2.64/2.83 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.83 inference(rewrite,[status(thm)],[])).
% 2.64/2.83 tff(1368,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.64/2.83 inference(monotonicity,[status(thm)],[1367])).
% 2.64/2.83 tff(1369,plain,
% 2.64/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.64/2.83 inference(transitivity,[status(thm)],[1368, 1366])).
% 2.64/2.83 tff(1370,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))),
% 2.64/2.83 inference(quant_inst,[status(thm)],[])).
% 2.64/2.83 tff(1371,plain,
% 2.64/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 2.64/2.84 tff(1372,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1371, 125, 410, 204, 216, 73, 269])).
% 2.64/2.84 tff(1373,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1374,plain,
% 2.64/2.84 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1373, 1365, 204, 216, 1352])).
% 2.64/2.84 tff(1375,plain,
% 2.64/2.84 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[369, 1374])).
% 2.64/2.84 tff(1376,assumption,(r(z, s(s(elem!1)))), introduced(assumption)).
% 2.64/2.84 tff(1377,plain,
% 2.64/2.84 ((s(s(s(s(z)))) = s(elem!1)) <=> (s(elem!1) = s(s(s(s(z)))))),
% 2.64/2.84 inference(commutativity,[status(thm)],[])).
% 2.64/2.84 tff(1378,plain,
% 2.64/2.84 ((s(elem!1) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(elem!1))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1377])).
% 2.64/2.84 tff(1379,assumption,(r(s(z), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.84 tff(1380,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1381,plain,
% 2.64/2.84 (((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1382,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1))))))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1381])).
% 2.64/2.84 tff(1383,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1)))))),
% 2.64/2.84 inference(transitivity,[status(thm)],[1382, 1380])).
% 2.64/2.84 tff(1384,plain,
% 2.64/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))),
% 2.64/2.84 inference(quant_inst,[status(thm)],[])).
% 2.64/2.84 tff(1385,plain,
% 2.64/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z))) | (~r(s(z), s(s(elem!1))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 2.64/2.84 tff(1386,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1385, 125, 410, 75, 1376, 1379, 270])).
% 2.64/2.84 tff(1387,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(elem!1)))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1388,plain,
% 2.64/2.84 (~r(s(z), s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1387, 1376, 75, 1365, 1268])).
% 2.64/2.84 tff(1389,assumption,(s(s(s(s(s(z))))) = s(elem!1)), introduced(assumption)).
% 2.64/2.84 tff(1390,plain,
% 2.64/2.84 (s(s(s(s(s(s(z)))))) = s(s(elem!1))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1389])).
% 2.64/2.84 tff(1391,plain,
% 2.64/2.84 (r(s(z), s(s(s(s(s(s(z))))))) <=> r(s(z), s(s(elem!1)))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1390])).
% 2.64/2.84 tff(1392,plain,
% 2.64/2.84 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1391])).
% 2.64/2.84 tff(1393,plain,
% 2.64/2.84 ((~r(s(z), s(s(elem!1)))) <=> (~r(s(z), s(s(s(s(s(s(z))))))))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1392])).
% 2.64/2.84 tff(1394,assumption,(~r(s(z), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.84 tff(1395,plain,
% 2.64/2.84 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1394, 1393])).
% 2.64/2.84 tff(1396,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[269, 1395])).
% 2.64/2.84 tff(1397,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | r(s(z), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1398,plain,
% 2.64/2.84 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1397, 1388, 1352])).
% 2.64/2.84 tff(1399,plain,
% 2.64/2.84 (((~![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))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1400,plain,
% 2.64/2.84 ((~![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))))),
% 2.64/2.84 inference(quant_inst,[status(thm)],[])).
% 2.64/2.84 tff(1401,plain,
% 2.64/2.84 ((~![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)))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 2.64/2.84 tff(1402,plain,
% 2.64/2.84 ((s(z) = s(s(elem!1))) | b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1401, 64])).
% 2.64/2.84 tff(1403,plain,
% 2.64/2.84 (b(s(z), s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1402, 1388, 1335])).
% 2.64/2.84 tff(1404,assumption,(r(s(s(s(s(s(s(z)))))), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.84 tff(1405,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1406,plain,
% 2.64/2.84 (((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1407,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1))))))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1406])).
% 2.64/2.84 tff(1408,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))),
% 2.64/2.84 inference(transitivity,[status(thm)],[1407, 1405])).
% 2.64/2.84 tff(1409,plain,
% 2.64/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.84 inference(quant_inst,[status(thm)],[])).
% 2.64/2.84 tff(1410,plain,
% 2.64/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(elem!1))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 2.64/2.84 tff(1411,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1410, 125, 765, 1404, 1376, 204, 1020])).
% 2.64/2.84 tff(1412,plain,((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1413,plain,
% 2.64/2.84 (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1412, 1376, 204, 765, 1205])).
% 2.64/2.84 tff(1414,assumption,(s(s(s(s(z)))) = s(s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1415,plain,
% 2.64/2.84 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1414])).
% 2.64/2.84 tff(1416,plain,
% 2.64/2.84 (r(s(s(s(s(s(s(z)))))), s(s(elem!1))) <=> r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1415])).
% 2.64/2.84 tff(1417,plain,
% 2.64/2.84 ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) <=> (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1416])).
% 2.64/2.84 tff(1418,assumption,(~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.84 tff(1419,plain,
% 2.64/2.84 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 2.64/2.84 tff(1420,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[204, 1419])).
% 2.64/2.84 tff(1421,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1422,plain,
% 2.64/2.84 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1421, 1413, 204])).
% 2.64/2.84 tff(1423,assumption,(s(s(s(s(z)))) = elem!1), introduced(assumption)).
% 2.64/2.84 tff(1424,plain,
% 2.64/2.84 (s(s(s(s(s(z))))) = s(elem!1)),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1423])).
% 2.64/2.84 tff(1425,assumption,(~(s(s(s(s(s(z))))) = s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1426,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1425, 1424])).
% 2.64/2.84 tff(1427,plain,((~(s(s(s(s(z)))) = elem!1)) | (s(s(s(s(s(z))))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1428,plain,
% 2.64/2.84 (~(s(s(s(s(z)))) = elem!1)),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1427, 1398])).
% 2.64/2.84 tff(1429,plain,
% 2.64/2.84 ((s(s(s(s(z)))) = elem!1) <=> (elem!1 = s(s(s(s(z)))))),
% 2.64/2.84 inference(commutativity,[status(thm)],[])).
% 2.64/2.84 tff(1430,plain,
% 2.64/2.84 ((elem!1 = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = elem!1)),
% 2.64/2.84 inference(symmetry,[status(thm)],[1429])).
% 2.64/2.84 tff(1431,assumption,(elem!1 = s(s(s(s(z))))), introduced(assumption)).
% 2.64/2.84 tff(1432,plain,
% 2.64/2.84 (s(s(s(s(z)))) = elem!1),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 2.64/2.84 tff(1433,assumption,(~(s(s(s(s(z)))) = elem!1)), introduced(assumption)).
% 2.64/2.84 tff(1434,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1433, 1432])).
% 2.64/2.84 tff(1435,plain,((~(elem!1 = s(s(s(s(z)))))) | (s(s(s(s(z)))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1436,plain,
% 2.64/2.84 (~(elem!1 = s(s(s(s(z)))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1435, 1428])).
% 2.64/2.84 tff(1437,assumption,(s(s(s(s(s(s(z)))))) = s(s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1438,plain,
% 2.64/2.84 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(elem!1)))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1437])).
% 2.64/2.84 tff(1439,plain,
% 2.64/2.84 (s(s(s(s(s(z))))) = s(elem!1)),
% 2.64/2.84 inference(transitivity,[status(thm)],[233, 1438, 1329])).
% 2.64/2.84 tff(1440,plain,
% 2.64/2.84 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(elem!1))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1439])).
% 2.64/2.84 tff(1441,plain,
% 2.64/2.84 (inj_0(s(elem!1)) = inj_0(s(s(s(s(s(z))))))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1440])).
% 2.64/2.84 tff(1442,plain,
% 2.64/2.84 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(elem!1)) = elem!1)),
% 2.64/2.84 inference(quant_inst,[status(thm)],[])).
% 2.64/2.84 tff(1443,plain,
% 2.64/2.84 (inj_0(s(elem!1)) = elem!1),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1442, 11])).
% 2.64/2.84 tff(1444,plain,
% 2.64/2.84 (elem!1 = inj_0(s(elem!1))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1443])).
% 2.64/2.84 tff(1445,plain,
% 2.64/2.84 (elem!1 = s(s(s(s(z))))),
% 2.64/2.84 inference(transitivity,[status(thm)],[1444, 1441, 25])).
% 2.64/2.84 tff(1446,assumption,(~(elem!1 = s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.84 tff(1447,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1446, 1445])).
% 2.64/2.84 tff(1448,plain,((~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))) | (elem!1 = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1449,plain,
% 2.64/2.84 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1448, 1436])).
% 2.64/2.84 tff(1450,plain,
% 2.64/2.84 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(z)))))), s(s(elem!1))) | r(s(s(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(s(s(z)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(z)))))), s(s(elem!1))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1451,plain,
% 2.64/2.84 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(z)))))), s(s(elem!1))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1))))),
% 2.64/2.84 inference(quant_inst,[status(thm)],[])).
% 2.64/2.84 tff(1452,plain,
% 2.64/2.84 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(z)))))), s(s(elem!1))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 2.64/2.84 tff(1453,plain,
% 2.64/2.84 ((s(s(s(s(s(s(z)))))) = s(s(elem!1))) | b(s(s(s(s(s(s(z)))))), s(s(elem!1))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1452, 64])).
% 2.64/2.84 tff(1454,plain,
% 2.64/2.84 (b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1453, 1449, 1413])).
% 2.64/2.84 tff(1455,assumption,(~(s(elem!1) = s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.84 tff(1456,assumption,(s(s(s(s(z)))) = s(elem!1)), introduced(assumption)).
% 2.64/2.84 tff(1457,plain,
% 2.64/2.84 (s(elem!1) = s(s(s(s(z))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1456, 1377])).
% 2.64/2.84 tff(1458,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1455, 1457])).
% 2.64/2.84 tff(1459,plain,((~(s(s(s(s(z)))) = s(elem!1))) | (s(elem!1) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1460,plain,
% 2.64/2.84 (~(s(s(s(s(z)))) = s(elem!1))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1459, 1455])).
% 2.64/2.84 tff(1461,plain,
% 2.64/2.84 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1146, 1020, 75, 216, 115])).
% 2.64/2.84 tff(1462,plain,
% 2.64/2.84 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[336, 1461])).
% 2.64/2.84 tff(1463,plain,
% 2.64/2.84 (~b(s(z), s(s(s(s(z)))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1261, 1462, 317, 75, 216, 177])).
% 2.64/2.84 tff(1464,plain,
% 2.64/2.84 (r(s(z), s(s(s(s(z)))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[563, 1463])).
% 2.64/2.84 tff(1465,plain,
% 2.64/2.84 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1303, 765, 75, 204, 1020])).
% 2.64/2.84 tff(1466,plain,
% 2.64/2.84 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1313, 1465])).
% 2.64/2.84 tff(1467,plain,
% 2.64/2.84 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1341, 125, 204, 1464, 216])).
% 2.64/2.84 tff(1468,plain,
% 2.64/2.84 (~r(s(z), s(s(s(s(s(z))))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1467, 269])).
% 2.64/2.84 tff(1469,plain,
% 2.64/2.84 (b(s(z), s(s(s(s(s(z))))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[163, 1468])).
% 2.64/2.84 tff(1470,plain,
% 2.64/2.84 (~r(s(s(s(s(s(z))))), z)),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1293, 1020, 75, 115])).
% 2.64/2.84 tff(1471,plain,
% 2.64/2.84 (b(s(s(s(s(s(z))))), z)),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[427, 1470])).
% 2.64/2.84 tff(1472,plain,
% 2.64/2.84 (~b(s(s(s(s(s(z))))), s(z))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1363, 91, 1471, 1469, 1466, 526])).
% 2.64/2.84 tff(1473,plain,
% 2.64/2.84 (r(s(s(s(s(s(z))))), s(z))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[394, 1472])).
% 2.64/2.84 tff(1474,plain,
% 2.64/2.84 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1373, 1473, 204, 216, 269])).
% 2.64/2.84 tff(1475,plain,
% 2.64/2.84 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[369, 1474])).
% 2.64/2.84 tff(1476,assumption,(~b(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.84 tff(1477,assumption,(r(s(elem!1), z)), introduced(assumption)).
% 2.64/2.84 tff(1478,assumption,(r(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1479,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1480,plain,
% 2.64/2.84 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1481,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1480])).
% 2.64/2.84 tff(1482,plain,
% 2.64/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.84 inference(transitivity,[status(thm)],[1481, 1479])).
% 2.64/2.84 tff(1483,plain,
% 2.64/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(elem!1))))),
% 2.64/2.84 inference(quant_inst,[status(thm)],[])).
% 2.64/2.84 tff(1484,plain,
% 2.64/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 2.64/2.84 tff(1485,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1484, 125, 1477, 75, 1478, 1020, 115])).
% 2.64/2.84 tff(1486,plain,((~r(s(elem!1), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1487,plain,
% 2.64/2.84 (~r(s(s(s(s(z)))), s(elem!1))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1486, 1477, 75, 1020, 115])).
% 2.64/2.84 tff(1488,assumption,(~b(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1489,assumption,(~(s(s(s(s(z)))) = s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1490,assumption,(~r(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1491,plain,
% 2.64/2.84 (((~![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)))),
% 2.64/2.84 inference(rewrite,[status(thm)],[])).
% 2.64/2.84 tff(1492,plain,
% 2.64/2.84 ((~![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)))),
% 2.64/2.84 inference(quant_inst,[status(thm)],[])).
% 2.64/2.84 tff(1493,plain,
% 2.64/2.84 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(elem!1)) | b(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(z)))), s(elem!1))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 2.64/2.84 tff(1494,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1493, 64, 1490, 1489, 1488])).
% 2.64/2.84 tff(1495,plain,(b(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(z)))), s(elem!1)) | (s(s(s(s(z)))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1496,plain,
% 2.64/2.84 (b(s(s(s(s(z)))), s(elem!1))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1495, 1487, 1460])).
% 2.64/2.84 tff(1497,assumption,(s(z) = s(elem!1)), introduced(assumption)).
% 2.64/2.84 tff(1498,plain,
% 2.64/2.84 (b(z, s(z)) <=> b(z, s(elem!1))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1497])).
% 2.64/2.84 tff(1499,plain,
% 2.64/2.84 (b(z, s(elem!1)) <=> b(z, s(z))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1498])).
% 2.64/2.84 tff(1500,plain,
% 2.64/2.84 ((s(s(s(s(s(s(z)))))) = s(elem!1)) <=> (s(elem!1) = s(s(s(s(s(s(z)))))))),
% 2.64/2.84 inference(commutativity,[status(thm)],[])).
% 2.64/2.84 tff(1501,assumption,(s(s(s(s(s(s(z)))))) = s(elem!1)), introduced(assumption)).
% 2.64/2.84 tff(1502,plain,
% 2.64/2.84 (s(elem!1) = s(s(s(s(s(s(z))))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 2.64/2.84 tff(1503,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1285, 1502])).
% 2.64/2.84 tff(1504,plain,((~(s(s(s(s(s(s(z)))))) = s(elem!1))) | (s(elem!1) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1505,plain,
% 2.64/2.84 (~(s(s(s(s(s(s(z)))))) = s(elem!1))),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1504, 1285])).
% 2.64/2.84 tff(1506,assumption,(b(s(s(s(s(z)))), s(elem!1))), introduced(assumption)).
% 2.64/2.84 tff(1507,plain,
% 2.64/2.84 ((s(elem!1) = s(z)) <=> (s(z) = s(elem!1))),
% 2.64/2.84 inference(commutativity,[status(thm)],[])).
% 2.64/2.84 tff(1508,plain,
% 2.64/2.84 ((s(z) = s(elem!1)) <=> (s(elem!1) = s(z))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1507])).
% 2.64/2.84 tff(1509,plain,
% 2.64/2.84 (s(elem!1) = s(z)),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1497, 1508])).
% 2.64/2.84 tff(1510,assumption,(~(s(elem!1) = s(z))), introduced(assumption)).
% 2.64/2.84 tff(1511,plain,
% 2.64/2.84 ($false),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1510, 1509])).
% 2.64/2.84 tff(1512,plain,((~(s(z) = s(elem!1))) | (s(elem!1) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.84 tff(1513,plain,
% 2.64/2.84 (s(elem!1) = s(z)),
% 2.64/2.84 inference(unit_resolution,[status(thm)],[1512, 1497])).
% 2.64/2.84 tff(1514,assumption,(s(elem!1) = s(z)), introduced(assumption)).
% 2.64/2.84 tff(1515,plain,
% 2.64/2.84 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(z), s(s(s(s(z)))))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1514])).
% 2.64/2.84 tff(1516,plain,
% 2.64/2.84 (b(s(z), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 2.64/2.84 inference(symmetry,[status(thm)],[1515])).
% 2.64/2.84 tff(1517,plain,
% 2.64/2.84 ((~b(s(z), s(s(s(s(z)))))) <=> (~b(s(elem!1), s(s(s(s(z))))))),
% 2.64/2.84 inference(monotonicity,[status(thm)],[1516])).
% 2.64/2.84 tff(1518,plain,
% 2.64/2.84 (~b(s(elem!1), s(s(s(s(z)))))),
% 2.64/2.84 inference(modus_ponens,[status(thm)],[1476, 1517])).
% 2.64/2.85 tff(1519,assumption,(b(s(elem!1), s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.85 tff(1520,plain,
% 2.64/2.85 ($false),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1519, 1518])).
% 2.64/2.85 tff(1521,plain,((~(s(elem!1) = s(z))) | (~b(s(elem!1), s(s(s(s(z)))))) | b(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.85 tff(1522,plain,
% 2.64/2.85 (~b(s(elem!1), s(s(s(s(z)))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1521, 1513, 1476])).
% 2.64/2.85 tff(1523,plain,
% 2.64/2.85 (((~![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))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1524,plain,
% 2.64/2.85 ((~![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))))))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1525,plain,
% 2.64/2.85 ((~![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)))))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1524, 1523])).
% 2.64/2.85 tff(1526,plain,
% 2.64/2.85 ((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)))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1525, 64])).
% 2.64/2.85 tff(1527,plain,
% 2.64/2.85 (r(s(elem!1), s(s(s(s(z)))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1526, 1522, 1455])).
% 2.64/2.85 tff(1528,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1529,plain,
% 2.64/2.85 (((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z))))))))) <=> ((~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1530,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z))))))))),
% 2.64/2.85 inference(monotonicity,[status(thm)],[1529])).
% 2.64/2.85 tff(1531,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.64/2.85 inference(transitivity,[status(thm)],[1530, 1528])).
% 2.64/2.85 tff(1532,plain,
% 2.64/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1533,plain,
% 2.64/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z))))))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 2.64/2.85 tff(1534,plain,
% 2.64/2.85 ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z))))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1533, 125, 1477, 204, 1020])).
% 2.64/2.85 tff(1535,plain,
% 2.64/2.85 (~r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1534, 1527])).
% 2.64/2.85 tff(1536,assumption,(~b(s(elem!1), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.85 tff(1537,assumption,(~r(s(elem!1), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.85 tff(1538,plain,
% 2.64/2.85 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(s(s(z))))))) | b(s(elem!1), s(s(s(s(s(s(z))))))) | r(s(elem!1), s(s(s(s(s(s(z))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | b(s(elem!1), s(s(s(s(s(s(z))))))) | r(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1539,plain,
% 2.64/2.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(s(s(z))))))) | b(s(elem!1), s(s(s(s(s(s(z))))))) | r(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1540,plain,
% 2.64/2.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | b(s(elem!1), s(s(s(s(s(s(z))))))) | r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 2.64/2.85 tff(1541,plain,
% 2.64/2.85 ($false),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1540, 64, 1537, 1285, 1536])).
% 2.64/2.85 tff(1542,plain,(b(s(elem!1), s(s(s(s(s(s(z))))))) | r(s(elem!1), s(s(s(s(s(s(z))))))) | (s(elem!1) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.85 tff(1543,plain,
% 2.64/2.85 (b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1542, 1535, 1285])).
% 2.64/2.85 tff(1544,assumption,(b(s(s(s(s(s(s(z)))))), s(elem!1))), introduced(assumption)).
% 2.64/2.85 tff(1545,assumption,(b(s(elem!1), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.85 tff(1546,plain,
% 2.64/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1547,plain,
% 2.64/2.85 (((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1548,plain,
% 2.64/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))))),
% 2.64/2.85 inference(monotonicity,[status(thm)],[1547])).
% 2.64/2.85 tff(1549,plain,
% 2.64/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.64/2.85 inference(transitivity,[status(thm)],[1548, 1546])).
% 2.64/2.85 tff(1550,plain,
% 2.64/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1551,plain,
% 2.64/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 2.64/2.85 tff(1552,plain,
% 2.64/2.85 ($false),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1551, 91, 318, 1545, 1544, 1506])).
% 2.64/2.85 tff(1553,plain,((~b(s(elem!1), s(s(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(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.85 tff(1554,plain,
% 2.64/2.85 (~b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1553, 1543, 318, 1506])).
% 2.64/2.85 tff(1555,assumption,(~b(s(s(s(s(s(s(z)))))), s(elem!1))), introduced(assumption)).
% 2.64/2.85 tff(1556,assumption,(~(s(s(s(s(s(s(z)))))) = s(elem!1))), introduced(assumption)).
% 2.64/2.85 tff(1557,assumption,(~r(s(s(s(s(s(s(z)))))), s(elem!1))), introduced(assumption)).
% 2.64/2.85 tff(1558,plain,
% 2.64/2.85 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(elem!1)) | b(s(s(s(s(s(s(z)))))), s(elem!1)) | r(s(s(s(s(s(s(z)))))), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(elem!1)) | b(s(s(s(s(s(s(z)))))), s(elem!1)) | r(s(s(s(s(s(s(z)))))), s(elem!1)))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1559,plain,
% 2.64/2.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(elem!1)) | b(s(s(s(s(s(s(z)))))), s(elem!1)) | r(s(s(s(s(s(s(z)))))), s(elem!1)))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1560,plain,
% 2.64/2.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(elem!1)) | b(s(s(s(s(s(s(z)))))), s(elem!1)) | r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 2.64/2.85 tff(1561,plain,
% 2.64/2.85 ($false),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1560, 64, 1557, 1556, 1555])).
% 2.64/2.85 tff(1562,plain,(r(s(s(s(s(s(s(z)))))), s(elem!1)) | (s(s(s(s(s(s(z)))))) = s(elem!1)) | b(s(s(s(s(s(s(z)))))), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.85 tff(1563,plain,
% 2.64/2.85 (r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1562, 1554, 1505])).
% 2.64/2.85 tff(1564,assumption,(r(s(s(s(s(s(s(z)))))), s(elem!1))), introduced(assumption)).
% 2.64/2.85 tff(1565,assumption,(r(z, s(elem!1))), introduced(assumption)).
% 2.64/2.85 tff(1566,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1567,plain,
% 2.64/2.85 (((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1568,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1)))))),
% 2.64/2.85 inference(monotonicity,[status(thm)],[1567])).
% 2.64/2.85 tff(1569,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))))),
% 2.64/2.85 inference(transitivity,[status(thm)],[1568, 1566])).
% 2.64/2.85 tff(1570,plain,
% 2.64/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1571,plain,
% 2.64/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1)))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 2.64/2.85 tff(1572,plain,
% 2.64/2.85 ($false),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1571, 125, 1477, 1565, 765, 1564])).
% 2.64/2.85 tff(1573,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.85 tff(1574,plain,
% 2.64/2.85 (~r(z, s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1573, 1563, 765, 1477])).
% 2.64/2.85 tff(1575,plain,
% 2.64/2.85 ((z = s(elem!1)) <=> (s(elem!1) = z)),
% 2.64/2.85 inference(commutativity,[status(thm)],[])).
% 2.64/2.85 tff(1576,plain,
% 2.64/2.85 ((s(elem!1) = z) <=> (z = s(elem!1))),
% 2.64/2.85 inference(symmetry,[status(thm)],[1575])).
% 2.64/2.85 tff(1577,plain,
% 2.64/2.85 ((~(s(elem!1) = z)) <=> (~(z = s(elem!1)))),
% 2.64/2.85 inference(monotonicity,[status(thm)],[1576])).
% 2.64/2.85 tff(1578,plain,
% 2.64/2.85 (~(z = s(elem!1))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1333, 1577])).
% 2.64/2.85 tff(1579,plain,
% 2.64/2.85 (((~![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)))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1580,plain,
% 2.64/2.85 ((~![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)))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1581,plain,
% 2.64/2.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(elem!1)) | b(z, s(elem!1)) | r(z, s(elem!1))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 2.64/2.85 tff(1582,plain,
% 2.64/2.85 ((z = s(elem!1)) | b(z, s(elem!1)) | r(z, s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1581, 64])).
% 2.64/2.85 tff(1583,plain,
% 2.64/2.85 (b(z, s(elem!1)) | r(z, s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1582, 1578])).
% 2.64/2.85 tff(1584,plain,
% 2.64/2.85 (b(z, s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1583, 1574])).
% 2.64/2.85 tff(1585,plain,
% 2.64/2.85 (b(z, s(z))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1584, 1499])).
% 2.64/2.85 tff(1586,plain,
% 2.64/2.85 ($false),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[262, 1585])).
% 2.64/2.85 tff(1587,plain,((~(s(z) = s(elem!1))) | b(z, s(z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (s(elem!1) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.85 tff(1588,plain,
% 2.64/2.85 (~(s(z) = s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1587, 1496, 765, 262, 318, 1477, 1285, 204, 1020, 1455, 1476])).
% 2.64/2.85 tff(1589,assumption,(r(s(elem!1), s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.85 tff(1590,plain,
% 2.64/2.85 (~r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1534, 1589])).
% 2.64/2.85 tff(1591,plain,
% 2.64/2.85 (b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1542, 1590, 1285])).
% 2.64/2.85 tff(1592,plain,
% 2.64/2.85 (~b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1553, 1591, 318, 1506])).
% 2.64/2.85 tff(1593,plain,
% 2.64/2.85 (r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1562, 1592, 1505])).
% 2.64/2.85 tff(1594,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1595,plain,
% 2.64/2.85 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1596,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z))))))))),
% 2.64/2.85 inference(monotonicity,[status(thm)],[1595])).
% 2.64/2.85 tff(1597,plain,
% 2.64/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.64/2.85 inference(transitivity,[status(thm)],[1596, 1594])).
% 2.64/2.85 tff(1598,plain,
% 2.64/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1599,plain,
% 2.64/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z))))))),
% 2.64/2.85 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 2.64/2.85 tff(1600,plain,
% 2.64/2.85 ($false),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1599, 125, 765, 1593, 204, 1589, 1020])).
% 2.64/2.85 tff(1601,plain,((~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.85 tff(1602,plain,
% 2.64/2.85 (~r(s(elem!1), s(s(s(s(z)))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1601, 1496, 204, 1020, 318, 765, 1285, 1477])).
% 2.64/2.85 tff(1603,plain,
% 2.64/2.85 (b(s(elem!1), s(s(s(s(z)))))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1526, 1602, 1455])).
% 2.64/2.85 tff(1604,plain,
% 2.64/2.85 (~(s(elem!1) = s(z))),
% 2.64/2.85 inference(unit_resolution,[status(thm)],[1521, 1603, 1476])).
% 2.64/2.85 tff(1605,assumption,(b(z, s(elem!1))), introduced(assumption)).
% 2.64/2.85 tff(1606,plain,
% 2.64/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1607,plain,
% 2.64/2.85 (((~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(z)))))))) | (~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(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.85 inference(rewrite,[status(thm)],[])).
% 2.64/2.85 tff(1608,plain,
% 2.64/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))))),
% 2.64/2.85 inference(monotonicity,[status(thm)],[1607])).
% 2.64/2.85 tff(1609,plain,
% 2.64/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))))),
% 2.64/2.85 inference(transitivity,[status(thm)],[1608, 1606])).
% 2.64/2.85 tff(1610,plain,
% 2.64/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~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)))))))),
% 2.64/2.85 inference(quant_inst,[status(thm)],[])).
% 2.64/2.85 tff(1611,plain,
% 2.64/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 2.64/2.86 tff(1612,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1611, 91, 1605, 1519, 178, 318, 1506])).
% 2.64/2.86 tff(1613,plain,((~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1614,plain,
% 2.64/2.86 (~b(z, s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1613, 1603, 178, 318, 1496])).
% 2.64/2.86 tff(1615,plain,
% 2.64/2.86 (r(z, s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1583, 1614])).
% 2.64/2.86 tff(1616,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1617,plain,
% 2.64/2.86 (((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1618,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1617])).
% 2.64/2.86 tff(1619,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.86 inference(transitivity,[status(thm)],[1618, 1616])).
% 2.64/2.86 tff(1620,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1621,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 2.64/2.86 tff(1622,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1621, 125, 1565, 765, 1564, 204, 1020])).
% 2.64/2.86 tff(1623,plain,((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1624,plain,
% 2.64/2.86 (~r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1623, 1615, 765, 204, 1020])).
% 2.64/2.86 tff(1625,plain,
% 2.64/2.86 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1562, 1624, 1505])).
% 2.64/2.86 tff(1626,plain,
% 2.64/2.86 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1553, 1625, 318, 1496])).
% 2.64/2.86 tff(1627,plain,
% 2.64/2.86 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1542, 1626, 1285])).
% 2.64/2.86 tff(1628,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1629,plain,
% 2.64/2.86 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1630,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z)))))),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1629])).
% 2.64/2.86 tff(1631,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z))))),
% 2.64/2.86 inference(transitivity,[status(thm)],[1630, 1628])).
% 2.64/2.86 tff(1632,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z))))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1633,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z)))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 2.64/2.86 tff(1634,plain,
% 2.64/2.86 ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(z)))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1633, 125, 1477, 765, 269])).
% 2.64/2.86 tff(1635,plain,
% 2.64/2.86 (~r(s(elem!1), s(z))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1634, 1627])).
% 2.64/2.86 tff(1636,plain,
% 2.64/2.86 (((~![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)))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1637,plain,
% 2.64/2.86 ((~![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)))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1638,plain,
% 2.64/2.86 ((~![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))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 2.64/2.86 tff(1639,plain,
% 2.64/2.86 ((s(elem!1) = s(z)) | b(s(elem!1), s(z)) | r(s(elem!1), s(z))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1638, 64])).
% 2.64/2.86 tff(1640,plain,
% 2.64/2.86 (b(s(elem!1), s(z))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1639, 1635, 1604])).
% 2.64/2.86 tff(1641,assumption,(b(s(elem!1), s(z))), introduced(assumption)).
% 2.64/2.86 tff(1642,assumption,(b(s(z), s(elem!1))), introduced(assumption)).
% 2.64/2.86 tff(1643,plain,
% 2.64/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(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(X1, 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(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1644,plain,
% 2.64/2.86 (((~b(s(elem!1), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~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(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1645,plain,
% 2.64/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~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(X1, 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(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1644])).
% 2.64/2.86 tff(1646,plain,
% 2.64/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~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(X1, 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(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 2.64/2.86 inference(transitivity,[status(thm)],[1645, 1643])).
% 2.64/2.86 tff(1647,plain,
% 2.64/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(z))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1648,plain,
% 2.64/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 2.64/2.86 tff(1649,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1648, 91, 177, 1642, 1641, 1506])).
% 2.64/2.86 tff(1650,plain,((~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1651,plain,
% 2.64/2.86 (~b(s(z), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1650, 1640, 1496, 177])).
% 2.64/2.86 tff(1652,plain,
% 2.64/2.86 (((~![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)))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1653,plain,
% 2.64/2.86 ((~![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)))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1654,plain,
% 2.64/2.86 ((~![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))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 2.64/2.86 tff(1655,plain,
% 2.64/2.86 ((s(z) = s(elem!1)) | b(s(z), s(elem!1)) | r(s(z), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1654, 64])).
% 2.64/2.86 tff(1656,plain,
% 2.64/2.86 (r(s(z), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1655, 1651, 1588])).
% 2.64/2.86 tff(1657,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(elem!1))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(elem!1))) | (~r(z, s(z))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1658,plain,
% 2.64/2.86 (((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(elem!1))) | (~r(z, s(z))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1659,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(elem!1))) | (~r(z, s(z)))))),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1658])).
% 2.64/2.86 tff(1660,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(elem!1))) | (~r(z, s(z))))),
% 2.64/2.86 inference(transitivity,[status(thm)],[1659, 1657])).
% 2.64/2.86 tff(1661,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1662,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(elem!1))) | (~r(z, s(z)))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 2.64/2.86 tff(1663,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1662, 125, 1615, 410, 75, 1656, 1268])).
% 2.64/2.86 tff(1664,plain,((~r(s(elem!1), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | b(s(z), s(s(s(s(z))))) | (s(elem!1) = s(s(s(s(z))))) | b(z, s(z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1665,plain,
% 2.64/2.86 (~r(s(elem!1), z)),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1664, 1455, 75, 177, 765, 269, 1285, 1462, 204, 1020, 317, 1463, 1473, 262, 115])).
% 2.64/2.86 tff(1666,plain,
% 2.64/2.86 (((~![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))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1667,plain,
% 2.64/2.86 ((~![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))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1668,plain,
% 2.64/2.86 ((~![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)),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1667, 1666])).
% 2.64/2.86 tff(1669,plain,
% 2.64/2.86 (b(s(elem!1), z) | r(s(elem!1), z)),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1668, 64, 1333])).
% 2.64/2.86 tff(1670,plain,
% 2.64/2.86 (b(s(elem!1), z)),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1669, 1665])).
% 2.64/2.86 tff(1671,plain,
% 2.64/2.86 (r(s(s(s(s(z)))), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1495, 1488, 1489])).
% 2.64/2.86 tff(1672,assumption,(r(s(z), s(elem!1))), introduced(assumption)).
% 2.64/2.86 tff(1673,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1674,plain,
% 2.64/2.86 (((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1675,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))))),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1674])).
% 2.64/2.86 tff(1676,plain,
% 2.64/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.64/2.86 inference(transitivity,[status(thm)],[1675, 1673])).
% 2.64/2.86 tff(1677,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.64/2.86 inference(quant_inst,[status(thm)],[])).
% 2.64/2.86 tff(1678,plain,
% 2.64/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 2.64/2.86 tff(1679,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1678, 125, 204, 1478, 1672, 135, 269])).
% 2.64/2.86 tff(1680,plain,((~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1681,plain,
% 2.64/2.86 (~r(s(z), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1680, 1671, 204, 135, 269])).
% 2.64/2.86 tff(1682,assumption,(z = elem!1), introduced(assumption)).
% 2.64/2.86 tff(1683,plain,
% 2.64/2.86 (s(z) = s(elem!1)),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1682])).
% 2.64/2.86 tff(1684,plain,
% 2.64/2.86 (s(elem!1) = s(z)),
% 2.64/2.86 inference(symmetry,[status(thm)],[1683])).
% 2.64/2.86 tff(1685,plain,
% 2.64/2.86 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(z))),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1684])).
% 2.64/2.86 tff(1686,plain,
% 2.64/2.86 (b(s(s(s(s(z)))), s(z)) <=> b(s(s(s(s(z)))), s(elem!1))),
% 2.64/2.86 inference(symmetry,[status(thm)],[1685])).
% 2.64/2.86 tff(1687,plain,
% 2.64/2.86 (b(s(s(s(s(z)))), s(elem!1))),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[177, 1686])).
% 2.64/2.86 tff(1688,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1488, 1687])).
% 2.64/2.86 tff(1689,plain,((~b(s(s(s(s(z)))), s(z))) | b(s(s(s(s(z)))), s(elem!1)) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1690,plain,
% 2.64/2.86 (~(z = elem!1)),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1689, 1488, 177])).
% 2.64/2.86 tff(1691,plain,
% 2.64/2.86 ((z = elem!1) <=> (elem!1 = z)),
% 2.64/2.86 inference(commutativity,[status(thm)],[])).
% 2.64/2.86 tff(1692,plain,
% 2.64/2.86 ((elem!1 = z) <=> (z = elem!1)),
% 2.64/2.86 inference(symmetry,[status(thm)],[1691])).
% 2.64/2.86 tff(1693,assumption,(elem!1 = z), introduced(assumption)).
% 2.64/2.86 tff(1694,plain,
% 2.64/2.86 (z = elem!1),
% 2.64/2.86 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 2.64/2.86 tff(1695,assumption,(~(z = elem!1)), introduced(assumption)).
% 2.64/2.86 tff(1696,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1695, 1694])).
% 2.64/2.86 tff(1697,plain,((~(elem!1 = z)) | (z = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1698,plain,
% 2.64/2.86 (~(elem!1 = z)),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1697, 1690])).
% 2.64/2.86 tff(1699,plain,
% 2.64/2.86 (inj_0(s(elem!1)) = inj_0(s(z))),
% 2.64/2.86 inference(monotonicity,[status(thm)],[1514])).
% 2.64/2.86 tff(1700,plain,
% 2.64/2.86 (elem!1 = z),
% 2.64/2.86 inference(transitivity,[status(thm)],[1444, 1699, 29])).
% 2.64/2.86 tff(1701,assumption,(~(elem!1 = z)), introduced(assumption)).
% 2.64/2.86 tff(1702,plain,
% 2.64/2.86 ($false),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1701, 1700])).
% 2.64/2.86 tff(1703,plain,((~(s(elem!1) = s(z))) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 2.64/2.86 tff(1704,plain,
% 2.64/2.86 (~(s(elem!1) = s(z))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1703, 1698])).
% 2.64/2.86 tff(1705,plain,
% 2.64/2.86 (~(s(z) = s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1512, 1704])).
% 2.64/2.86 tff(1706,plain,
% 2.64/2.86 (b(s(z), s(elem!1))),
% 2.64/2.86 inference(unit_resolution,[status(thm)],[1655, 1705, 1681])).
% 2.64/2.86 tff(1707,assumption,(b(s(elem!1), z)), introduced(assumption)).
% 2.64/2.86 tff(1708,plain,
% 2.64/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1709,plain,
% 2.64/2.86 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 2.64/2.86 inference(rewrite,[status(thm)],[])).
% 2.64/2.86 tff(1710,plain,
% 2.64/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(elem!1)))))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1709])).
% 2.64/2.87 tff(1711,plain,
% 2.64/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 2.64/2.87 inference(transitivity,[status(thm)],[1710, 1708])).
% 2.64/2.87 tff(1712,plain,
% 2.64/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.64/2.87 inference(quant_inst,[status(thm)],[])).
% 2.64/2.87 tff(1713,plain,
% 2.64/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(elem!1)))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1712, 1711])).
% 2.64/2.87 tff(1714,plain,
% 2.64/2.87 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1713, 91, 1707, 176, 178, 1706, 349])).
% 2.64/2.87 tff(1715,plain,
% 2.64/2.87 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(elem!1)) | b(s(s(s(s(s(z))))), s(elem!1)) | r(s(s(s(s(s(z))))), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(elem!1)) | b(s(s(s(s(s(z))))), s(elem!1)) | r(s(s(s(s(s(z))))), s(elem!1)))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1716,plain,
% 2.64/2.87 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(elem!1)) | b(s(s(s(s(s(z))))), s(elem!1)) | r(s(s(s(s(s(z))))), s(elem!1)))),
% 2.64/2.87 inference(quant_inst,[status(thm)],[])).
% 2.64/2.87 tff(1717,plain,
% 2.64/2.87 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(elem!1)) | b(s(s(s(s(s(z))))), s(elem!1)) | r(s(s(s(s(s(z))))), s(elem!1))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 2.64/2.87 tff(1718,plain,
% 2.64/2.87 ((s(s(s(s(s(z))))) = s(elem!1)) | b(s(s(s(s(s(z))))), s(elem!1)) | r(s(s(s(s(s(z))))), s(elem!1))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1717, 64])).
% 2.64/2.87 tff(1719,plain,
% 2.64/2.87 (r(s(s(s(s(s(z))))), s(elem!1))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1718, 1714, 1425])).
% 2.64/2.87 tff(1720,plain,
% 2.64/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1721,plain,
% 2.64/2.87 (((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1722,plain,
% 2.64/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1721])).
% 2.64/2.87 tff(1723,plain,
% 2.64/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.87 inference(transitivity,[status(thm)],[1722, 1720])).
% 2.64/2.87 tff(1724,plain,
% 2.64/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.64/2.87 inference(quant_inst,[status(thm)],[])).
% 2.64/2.87 tff(1725,plain,
% 2.64/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 2.64/2.87 tff(1726,plain,
% 2.64/2.87 ($false),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1725, 125, 75, 1719, 1671, 1020, 115])).
% 2.64/2.87 tff(1727,plain,(b(s(s(s(s(z)))), s(elem!1)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (s(s(s(s(s(z))))) = s(elem!1)) | (~b(s(elem!1), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (s(s(s(s(z)))) = s(elem!1)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.87 tff(1728,plain,
% 2.64/2.87 (b(s(s(s(s(z)))), s(elem!1))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1727, 1670, 1020, 115, 1425, 75, 1469, 317, 1475, 204, 1464, 269, 1460, 177])).
% 2.64/2.87 tff(1729,plain,
% 2.64/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1730,plain,
% 2.64/2.87 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1731,plain,
% 2.64/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1730])).
% 2.64/2.87 tff(1732,plain,
% 2.64/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.64/2.87 inference(transitivity,[status(thm)],[1731, 1729])).
% 2.64/2.87 tff(1733,plain,
% 2.64/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 2.64/2.87 inference(quant_inst,[status(thm)],[])).
% 2.64/2.87 tff(1734,plain,
% 2.64/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1733, 1732])).
% 2.64/2.87 tff(1735,plain,
% 2.64/2.87 ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1734, 91, 1670, 1471, 1466, 1462])).
% 2.64/2.87 tff(1736,plain,
% 2.64/2.87 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1735, 1728])).
% 2.64/2.87 tff(1737,assumption,(b(s(z), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.87 tff(1738,plain,
% 2.64/2.87 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1542, 1736, 1285])).
% 2.64/2.87 tff(1739,plain,
% 2.64/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1740,plain,
% 2.64/2.87 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1)))) <=> ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1741,plain,
% 2.64/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1740])).
% 2.64/2.87 tff(1742,plain,
% 2.64/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.64/2.87 inference(transitivity,[status(thm)],[1741, 1739])).
% 2.64/2.87 tff(1743,plain,
% 2.64/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1))))),
% 2.64/2.87 inference(quant_inst,[status(thm)],[])).
% 2.64/2.87 tff(1744,plain,
% 2.64/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 2.64/2.87 tff(1745,plain,
% 2.64/2.87 (~r(s(z), s(elem!1))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1744, 125, 1738, 204, 1464, 269])).
% 2.64/2.87 tff(1746,plain,
% 2.64/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(elem!1))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1747,plain,
% 2.64/2.87 (((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(elem!1))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.87 tff(1748,plain,
% 2.64/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(elem!1)))))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1747])).
% 2.64/2.87 tff(1749,plain,
% 2.64/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(elem!1))))),
% 2.64/2.87 inference(transitivity,[status(thm)],[1748, 1746])).
% 2.64/2.87 tff(1750,plain,
% 2.64/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.64/2.87 inference(quant_inst,[status(thm)],[])).
% 2.64/2.87 tff(1751,plain,
% 2.64/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(elem!1)))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 2.64/2.87 tff(1752,plain,
% 2.64/2.87 ($false),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1751, 91, 176, 348, 1642, 526, 1506, 349])).
% 2.64/2.87 tff(1753,plain,((~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.87 tff(1754,plain,
% 2.64/2.87 (~b(s(z), s(elem!1))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1753, 1728, 1466, 526, 1469, 1475])).
% 2.64/2.87 tff(1755,plain,
% 2.64/2.87 (s(z) = s(elem!1)),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1655, 1754, 1745])).
% 2.64/2.87 tff(1756,assumption,(~(s(s(s(s(z)))) = s(s(elem!1)))), introduced(assumption)).
% 2.64/2.87 tff(1757,assumption,(b(s(s(s(s(s(s(z)))))), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.87 tff(1758,assumption,(s(s(s(s(s(z))))) = s(s(elem!1))), introduced(assumption)).
% 2.64/2.87 tff(1759,plain,
% 2.64/2.87 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(elem!1)))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1758])).
% 2.64/2.87 tff(1760,plain,
% 2.64/2.87 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(s(z))))))),
% 2.64/2.87 inference(symmetry,[status(thm)],[1759])).
% 2.64/2.87 tff(1761,plain,
% 2.64/2.87 (s(elem!1) = s(s(s(s(z))))),
% 2.64/2.87 inference(transitivity,[status(thm)],[1330, 1760, 25])).
% 2.64/2.87 tff(1762,plain,
% 2.64/2.87 ($false),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1455, 1761])).
% 2.64/2.87 tff(1763,plain,((~(s(s(s(s(s(z))))) = s(s(elem!1)))) | (s(elem!1) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.87 tff(1764,plain,
% 2.64/2.87 (~(s(s(s(s(s(z))))) = s(s(elem!1)))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1763, 1455])).
% 2.64/2.87 tff(1765,plain,
% 2.64/2.87 (r(s(s(s(s(s(z))))), s(z)) <=> r(s(s(s(s(s(z))))), s(elem!1))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1755])).
% 2.64/2.87 tff(1766,plain,
% 2.64/2.87 (r(s(s(s(s(s(z))))), s(elem!1))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1473, 1765])).
% 2.64/2.87 tff(1767,plain,
% 2.64/2.87 (b(s(s(s(s(s(s(z)))))), s(z)) <=> b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1755])).
% 2.64/2.87 tff(1768,plain,
% 2.64/2.87 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[526, 1767])).
% 2.64/2.87 tff(1769,plain,
% 2.64/2.87 (b(s(z), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1497])).
% 2.64/2.87 tff(1770,plain,
% 2.64/2.87 (b(s(elem!1), s(s(elem!1)))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1737, 1769])).
% 2.64/2.87 tff(1771,plain,
% 2.64/2.87 (elem!1 = z),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1703, 1513])).
% 2.64/2.87 tff(1772,plain,
% 2.64/2.87 (s(elem!1) = s(z)),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1693])).
% 2.64/2.87 tff(1773,plain,
% 2.64/2.87 (s(s(s(s(s(z))))) = s(z)),
% 2.64/2.87 inference(transitivity,[status(thm)],[1389, 1772])).
% 2.64/2.87 tff(1774,plain,
% 2.64/2.87 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(z))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1773])).
% 2.64/2.87 tff(1775,plain,
% 2.64/2.87 (s(s(s(s(z)))) = z),
% 2.64/2.87 inference(transitivity,[status(thm)],[26, 1774, 29])).
% 2.64/2.87 tff(1776,plain,
% 2.64/2.87 ($false),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[152, 1775])).
% 2.64/2.87 tff(1777,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.87 tff(1778,plain,
% 2.64/2.87 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1777, 1693])).
% 2.64/2.87 tff(1779,plain,
% 2.64/2.87 (~(s(s(s(s(z)))) = elem!1)),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1427, 1778])).
% 2.64/2.87 tff(1780,assumption,(~b(elem!1, s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.87 tff(1781,plain,
% 2.64/2.87 (z = elem!1),
% 2.64/2.87 inference(symmetry,[status(thm)],[1693])).
% 2.64/2.87 tff(1782,plain,
% 2.64/2.87 (r(z, s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 2.64/2.87 inference(monotonicity,[status(thm)],[1781])).
% 2.64/2.87 tff(1783,plain,
% 2.64/2.87 (r(elem!1, s(s(s(s(z))))) <=> r(z, s(s(s(s(z)))))),
% 2.64/2.87 inference(symmetry,[status(thm)],[1782])).
% 2.64/2.87 tff(1784,assumption,(r(elem!1, s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.87 tff(1785,plain,
% 2.64/2.87 (r(z, s(s(s(s(z)))))),
% 2.64/2.87 inference(modus_ponens,[status(thm)],[1784, 1783])).
% 2.64/2.87 tff(1786,plain,
% 2.64/2.87 ($false),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[169, 1785])).
% 2.64/2.87 tff(1787,plain,((~r(elem!1, s(s(s(s(z)))))) | r(z, s(s(s(s(z))))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.87 tff(1788,plain,
% 2.64/2.87 (~r(elem!1, s(s(s(s(z)))))),
% 2.64/2.87 inference(unit_resolution,[status(thm)],[1787, 1693, 169])).
% 2.64/2.87 tff(1789,plain,
% 2.64/2.87 (((~![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))))))),
% 2.64/2.87 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1790,plain,
% 2.64/2.88 ((~![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))))))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1791,plain,
% 2.64/2.88 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | r(elem!1, s(s(s(s(z)))))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 2.64/2.88 tff(1792,plain,
% 2.64/2.88 ((elem!1 = s(s(s(s(z))))) | b(elem!1, s(s(s(s(z))))) | r(elem!1, s(s(s(s(z)))))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1791, 64])).
% 2.64/2.88 tff(1793,plain,
% 2.64/2.88 (elem!1 = s(s(s(s(z))))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1792, 1788, 1780])).
% 2.64/2.88 tff(1794,plain,
% 2.64/2.88 ($false),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1435, 1793, 1779])).
% 2.64/2.88 tff(1795,plain,((~(elem!1 = z)) | b(elem!1, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.88 tff(1796,plain,
% 2.64/2.88 (b(elem!1, s(s(s(s(z)))))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1795, 1771, 169])).
% 2.64/2.88 tff(1797,plain,
% 2.64/2.88 (b(s(elem!1), elem!1) <=> b(s(elem!1), z)),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1693])).
% 2.64/2.88 tff(1798,plain,
% 2.64/2.88 (b(s(elem!1), z) <=> b(s(elem!1), elem!1)),
% 2.64/2.88 inference(symmetry,[status(thm)],[1797])).
% 2.64/2.88 tff(1799,plain,
% 2.64/2.88 (b(s(elem!1), elem!1)),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1707, 1798])).
% 2.64/2.88 tff(1800,assumption,(~b(s(elem!1), elem!1)), introduced(assumption)).
% 2.64/2.88 tff(1801,plain,
% 2.64/2.88 ($false),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1800, 1799])).
% 2.64/2.88 tff(1802,plain,((~(elem!1 = z)) | b(s(elem!1), elem!1) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.88 tff(1803,plain,
% 2.64/2.88 (b(s(elem!1), elem!1)),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1802, 1771, 1707])).
% 2.64/2.88 tff(1804,assumption,(elem!1 = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.64/2.88 tff(1805,plain,
% 2.64/2.88 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1804])).
% 2.64/2.88 tff(1806,plain,
% 2.64/2.88 (b(s(elem!1), s(s(s(s(s(s(z))))))) <=> b(s(elem!1), elem!1)),
% 2.64/2.88 inference(symmetry,[status(thm)],[1805])).
% 2.64/2.88 tff(1807,plain,
% 2.64/2.88 ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) <=> (~b(s(elem!1), elem!1))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1806])).
% 2.64/2.88 tff(1808,plain,
% 2.64/2.88 (~b(s(elem!1), elem!1)),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1536, 1807])).
% 2.64/2.88 tff(1809,assumption,(b(s(elem!1), elem!1)), introduced(assumption)).
% 2.64/2.88 tff(1810,plain,
% 2.64/2.88 ($false),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1809, 1808])).
% 2.64/2.88 tff(1811,plain,((~(elem!1 = s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), elem!1)) | b(s(elem!1), s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.88 tff(1812,plain,
% 2.64/2.88 (~(elem!1 = s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1811, 1803, 1536])).
% 2.64/2.88 tff(1813,plain,
% 2.64/2.88 (r(elem!1, s(s(s(s(s(s(z))))))) <=> r(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1771])).
% 2.64/2.88 tff(1814,plain,
% 2.64/2.88 (r(z, s(s(s(s(s(s(z))))))) <=> r(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(symmetry,[status(thm)],[1813])).
% 2.64/2.88 tff(1815,plain,
% 2.64/2.88 ((~r(z, s(s(s(s(s(s(z)))))))) <=> (~r(elem!1, s(s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1814])).
% 2.64/2.88 tff(1816,assumption,(r(s(s(s(s(s(z))))), s(elem!1))), introduced(assumption)).
% 2.64/2.88 tff(1817,assumption,(r(s(elem!1), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.88 tff(1818,plain,
% 2.64/2.88 (r(z, s(z)) <=> r(z, s(elem!1))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1497])).
% 2.64/2.88 tff(1819,plain,
% 2.64/2.88 (r(z, s(elem!1))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[270, 1818])).
% 2.64/2.88 tff(1820,plain,
% 2.64/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1821,plain,
% 2.64/2.88 (((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1822,plain,
% 2.64/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1)))))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1821])).
% 2.64/2.88 tff(1823,plain,
% 2.64/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))))),
% 2.64/2.88 inference(transitivity,[status(thm)],[1822, 1820])).
% 2.64/2.88 tff(1824,plain,
% 2.64/2.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1825,plain,
% 2.64/2.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1)))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 2.64/2.88 tff(1826,plain,
% 2.64/2.88 ($false),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1825, 125, 1565, 75, 1817, 215, 1816])).
% 2.64/2.88 tff(1827,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.88 tff(1828,plain,
% 2.64/2.88 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1827, 1819, 75, 1817, 1816])).
% 2.64/2.88 tff(1829,plain,
% 2.64/2.88 (~r(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1828, 1815])).
% 2.64/2.88 tff(1830,plain,
% 2.64/2.88 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(s(s(z))))))) | b(elem!1, s(s(s(s(s(s(z))))))) | r(elem!1, s(s(s(s(s(s(z))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(s(s(z))))))) | b(elem!1, s(s(s(s(s(s(z))))))) | r(elem!1, s(s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1831,plain,
% 2.64/2.88 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(s(s(z))))))) | b(elem!1, s(s(s(s(s(s(z))))))) | r(elem!1, s(s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1832,plain,
% 2.64/2.88 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(s(s(z))))))) | b(elem!1, s(s(s(s(s(s(z))))))) | r(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 2.64/2.88 tff(1833,plain,
% 2.64/2.88 ((elem!1 = s(s(s(s(s(s(z))))))) | b(elem!1, s(s(s(s(s(s(z))))))) | r(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1832, 64])).
% 2.64/2.88 tff(1834,plain,
% 2.64/2.88 (b(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1833, 1829, 1812])).
% 2.64/2.88 tff(1835,assumption,(b(s(elem!1), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.88 tff(1836,assumption,(b(elem!1, s(s(s(s(z)))))), introduced(assumption)).
% 2.64/2.88 tff(1837,assumption,(b(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.88 tff(1838,assumption,(b(elem!1, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.88 tff(1839,plain,
% 2.64/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1840,plain,
% 2.64/2.88 (((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1841,plain,
% 2.64/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1840])).
% 2.64/2.88 tff(1842,plain,
% 2.64/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.64/2.88 inference(transitivity,[status(thm)],[1841, 1839])).
% 2.64/2.88 tff(1843,plain,
% 2.64/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(s(s(z)))))))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1844,plain,
% 2.64/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1843, 1842])).
% 2.64/2.88 tff(1845,plain,
% 2.64/2.88 ($false),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1844, 91, 1838, 1837, 1836, 1835, 318, 1544])).
% 2.64/2.88 tff(1846,plain,((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.88 tff(1847,plain,
% 2.64/2.88 (~b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1846, 1834, 1462, 1796, 1770, 1544])).
% 2.64/2.88 tff(1848,plain,
% 2.64/2.88 (((~![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))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1849,plain,
% 2.64/2.88 ((~![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))))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1850,plain,
% 2.64/2.88 ((~![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)))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1849, 1848])).
% 2.64/2.88 tff(1851,plain,
% 2.64/2.88 ((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)))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1850, 64])).
% 2.64/2.88 tff(1852,plain,
% 2.64/2.88 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1851, 1847, 1756])).
% 2.64/2.88 tff(1853,assumption,(r(s(s(elem!1)), z)), introduced(assumption)).
% 2.64/2.88 tff(1854,assumption,(r(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 2.64/2.88 tff(1855,plain,
% 2.64/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1856,plain,
% 2.64/2.88 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(elem!1))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1857,plain,
% 2.64/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1856])).
% 2.64/2.88 tff(1858,plain,
% 2.64/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(transitivity,[status(thm)],[1857, 1855])).
% 2.64/2.88 tff(1859,plain,
% 2.64/2.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1860,plain,
% 2.64/2.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 2.64/2.88 tff(1861,plain,
% 2.64/2.88 ($false),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1860, 125, 1854, 75, 1853, 1020, 115])).
% 2.64/2.88 tff(1862,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.88 tff(1863,plain,
% 2.64/2.88 (~r(s(s(elem!1)), z)),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1862, 1852, 75, 1020, 115])).
% 2.64/2.88 tff(1864,assumption,(~b(s(s(elem!1)), z)), introduced(assumption)).
% 2.64/2.88 tff(1865,assumption,(~r(s(s(elem!1)), z)), introduced(assumption)).
% 2.64/2.88 tff(1866,plain,
% 2.64/2.88 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(elem!1)) = z))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1867,plain,
% 2.64/2.88 (~(s(s(elem!1)) = z)),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1866, 47])).
% 2.64/2.88 tff(1868,plain,
% 2.64/2.88 (((~![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))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1869,plain,
% 2.64/2.88 ((~![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))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1870,plain,
% 2.64/2.88 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = z) | b(s(s(elem!1)), z) | r(s(s(elem!1)), z)),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 2.64/2.88 tff(1871,plain,
% 2.64/2.88 ($false),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1870, 64, 1867, 1865, 1864])).
% 2.64/2.88 tff(1872,plain,(b(s(s(elem!1)), z) | r(s(s(elem!1)), z)), inference(lemma,lemma(discharge,[]))).
% 2.64/2.88 tff(1873,plain,
% 2.64/2.88 (b(s(s(elem!1)), z)),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1872, 1863])).
% 2.64/2.88 tff(1874,plain,
% 2.64/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1875,plain,
% 2.64/2.88 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.64/2.88 inference(rewrite,[status(thm)],[])).
% 2.64/2.88 tff(1876,plain,
% 2.64/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))))),
% 2.64/2.88 inference(monotonicity,[status(thm)],[1875])).
% 2.64/2.88 tff(1877,plain,
% 2.64/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.64/2.88 inference(transitivity,[status(thm)],[1876, 1874])).
% 2.64/2.88 tff(1878,plain,
% 2.64/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.64/2.88 inference(quant_inst,[status(thm)],[])).
% 2.64/2.88 tff(1879,plain,
% 2.64/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))),
% 2.64/2.88 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 2.64/2.88 tff(1880,plain,
% 2.64/2.88 (~b(s(s(s(s(s(z))))), s(s(elem!1)))),
% 2.64/2.88 inference(unit_resolution,[status(thm)],[1879, 91, 1757, 317, 348, 1873, 349])).
% 2.64/2.89 tff(1881,assumption,(~(s(s(s(s(s(z))))) = s(s(elem!1)))), introduced(assumption)).
% 2.64/2.89 tff(1882,plain,
% 2.64/2.89 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(elem!1))) | b(s(s(s(s(s(z))))), s(s(elem!1))) | r(s(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(s(z))))) = s(s(elem!1))) | b(s(s(s(s(s(z))))), s(s(elem!1))) | r(s(s(s(s(s(z))))), s(s(elem!1))))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(1883,plain,
% 2.64/2.89 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(s(elem!1))) | b(s(s(s(s(s(z))))), s(s(elem!1))) | r(s(s(s(s(s(z))))), s(s(elem!1))))),
% 2.64/2.89 inference(quant_inst,[status(thm)],[])).
% 2.64/2.89 tff(1884,plain,
% 2.64/2.89 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = s(s(elem!1))) | b(s(s(s(s(s(z))))), s(s(elem!1))) | r(s(s(s(s(s(z))))), s(s(elem!1)))),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 2.64/2.89 tff(1885,plain,
% 2.64/2.89 (r(s(s(s(s(s(z))))), s(s(elem!1)))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1884, 64, 1881, 1880])).
% 2.64/2.89 tff(1886,plain,
% 2.64/2.89 (z = elem!1),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1697, 1771])).
% 2.64/2.89 tff(1887,plain,
% 2.64/2.89 (r(s(s(s(s(s(z))))), z) <=> r(s(s(s(s(s(z))))), elem!1)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1682])).
% 2.64/2.89 tff(1888,plain,
% 2.64/2.89 (r(s(s(s(s(s(z))))), elem!1) <=> r(s(s(s(s(s(z))))), z)),
% 2.64/2.89 inference(symmetry,[status(thm)],[1887])).
% 2.64/2.89 tff(1889,assumption,(r(s(s(s(s(s(z))))), elem!1)), introduced(assumption)).
% 2.64/2.89 tff(1890,plain,
% 2.64/2.89 (r(s(s(s(s(s(z))))), z)),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 2.64/2.89 tff(1891,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[421, 1890])).
% 2.64/2.89 tff(1892,plain,((~r(s(s(s(s(s(z))))), elem!1)) | r(s(s(s(s(s(z))))), z) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1893,plain,
% 2.64/2.89 (~r(s(s(s(s(s(z))))), elem!1)),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1892, 1886, 1470])).
% 2.64/2.89 tff(1894,assumption,(elem!1 = s(elem!1)), introduced(assumption)).
% 2.64/2.89 tff(1895,plain,
% 2.64/2.89 (r(s(s(s(s(s(z))))), elem!1) <=> r(s(s(s(s(s(z))))), s(elem!1))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1894])).
% 2.64/2.89 tff(1896,plain,
% 2.64/2.89 (r(s(s(s(s(s(z))))), s(elem!1)) <=> r(s(s(s(s(s(z))))), elem!1)),
% 2.64/2.89 inference(symmetry,[status(thm)],[1895])).
% 2.64/2.89 tff(1897,plain,
% 2.64/2.89 (r(s(s(s(s(s(z))))), elem!1)),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1816, 1896])).
% 2.64/2.89 tff(1898,assumption,(~r(s(s(s(s(s(z))))), elem!1)), introduced(assumption)).
% 2.64/2.89 tff(1899,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1898, 1897])).
% 2.64/2.89 tff(1900,plain,((~r(s(s(s(s(s(z))))), s(elem!1))) | r(s(s(s(s(s(z))))), elem!1) | (~(elem!1 = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1901,plain,
% 2.64/2.89 (~(elem!1 = s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1900, 1893, 1816])).
% 2.64/2.89 tff(1902,assumption,(s(s(elem!1)) = s(elem!1)), introduced(assumption)).
% 2.64/2.89 tff(1903,plain,
% 2.64/2.89 ((s(s(elem!1)) = s(elem!1)) <=> (s(elem!1) = s(s(elem!1)))),
% 2.64/2.89 inference(commutativity,[status(thm)],[])).
% 2.64/2.89 tff(1904,plain,
% 2.64/2.89 (s(elem!1) = s(s(elem!1))),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1902, 1903])).
% 2.64/2.89 tff(1905,assumption,(~(s(elem!1) = s(s(elem!1)))), introduced(assumption)).
% 2.64/2.89 tff(1906,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1905, 1904])).
% 2.64/2.89 tff(1907,plain,((~(s(s(elem!1)) = s(elem!1))) | (s(elem!1) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1908,plain,
% 2.64/2.89 (s(elem!1) = s(s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1907, 1902])).
% 2.64/2.89 tff(1909,assumption,(s(elem!1) = s(s(elem!1))), introduced(assumption)).
% 2.64/2.89 tff(1910,plain,
% 2.64/2.89 (inj_0(s(elem!1)) = inj_0(s(s(elem!1)))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1909])).
% 2.64/2.89 tff(1911,plain,
% 2.64/2.89 (elem!1 = s(s(elem!1))),
% 2.64/2.89 inference(transitivity,[status(thm)],[1444, 1910, 1329, 1909])).
% 2.64/2.89 tff(1912,assumption,(~(elem!1 = s(s(elem!1)))), introduced(assumption)).
% 2.64/2.89 tff(1913,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1912, 1911])).
% 2.64/2.89 tff(1914,plain,((~(s(elem!1) = s(s(elem!1)))) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1915,plain,
% 2.64/2.89 (elem!1 = s(s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1914, 1908])).
% 2.64/2.89 tff(1916,plain,
% 2.64/2.89 (elem!1 = s(elem!1)),
% 2.64/2.89 inference(transitivity,[status(thm)],[1915, 1902])).
% 2.64/2.89 tff(1917,assumption,(~(elem!1 = s(elem!1))), introduced(assumption)).
% 2.64/2.89 tff(1918,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1917, 1916])).
% 2.64/2.89 tff(1919,plain,((~(s(s(elem!1)) = s(elem!1))) | (elem!1 = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1920,plain,
% 2.64/2.89 (~(s(s(elem!1)) = s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1919, 1901])).
% 2.64/2.89 tff(1921,plain,
% 2.64/2.89 (b(z, s(s(s(s(s(s(z)))))))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1093, 1828])).
% 2.64/2.89 tff(1922,plain,
% 2.64/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(1923,plain,
% 2.64/2.89 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(1924,plain,
% 2.64/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), z))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1923])).
% 2.64/2.89 tff(1925,plain,
% 2.64/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 2.64/2.89 inference(transitivity,[status(thm)],[1924, 1922])).
% 2.64/2.89 tff(1926,plain,
% 2.64/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))))),
% 2.64/2.89 inference(quant_inst,[status(thm)],[])).
% 2.64/2.89 tff(1927,plain,
% 2.64/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(elem!1)), z))),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 2.64/2.89 tff(1928,plain,
% 2.64/2.89 (~b(s(s(elem!1)), s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1927, 91, 1707, 1757, 1770, 1921, 1873])).
% 2.64/2.89 tff(1929,plain,
% 2.64/2.89 (((~![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)))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(1930,plain,
% 2.64/2.89 ((~![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)))),
% 2.64/2.89 inference(quant_inst,[status(thm)],[])).
% 2.64/2.89 tff(1931,plain,
% 2.64/2.89 ((~![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))),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1930, 1929])).
% 2.64/2.89 tff(1932,plain,
% 2.64/2.89 ((s(s(elem!1)) = s(elem!1)) | b(s(s(elem!1)), s(elem!1)) | r(s(s(elem!1)), s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1931, 64])).
% 2.64/2.89 tff(1933,plain,
% 2.64/2.89 (r(s(s(elem!1)), s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1932, 1928, 1920])).
% 2.64/2.89 tff(1934,plain,
% 2.64/2.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(1935,plain,
% 2.64/2.89 (((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))) <=> ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(1936,plain,
% 2.64/2.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1935])).
% 2.64/2.89 tff(1937,plain,
% 2.64/2.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.64/2.89 inference(transitivity,[status(thm)],[1936, 1934])).
% 2.64/2.89 tff(1938,plain,
% 2.64/2.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.64/2.89 inference(quant_inst,[status(thm)],[])).
% 2.64/2.89 tff(1939,plain,
% 2.64/2.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1938, 1937])).
% 2.64/2.89 tff(1940,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1939, 125, 1817, 1816, 1933, 216, 1885])).
% 2.64/2.89 tff(1941,plain,((~(s(z) = s(elem!1))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (s(s(s(s(s(z))))) = s(s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (s(s(s(s(z)))) = s(s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(z))) | (~b(s(z), s(s(elem!1)))) | b(s(elem!1), s(s(s(s(s(s(z))))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1942,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1941, 1768, 1766, 1738, 216, 1764, 1757, 1466, 1475, 1670, 75, 1020, 115, 1756, 1755, 1268, 1737, 1736, 169])).
% 2.64/2.89 tff(1943,plain,((s(elem!1) = s(s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (s(s(s(s(z)))) = s(s(elem!1))) | (~b(s(z), s(s(elem!1)))) | r(z, s(s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (s(s(s(s(s(z))))) = s(elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | b(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1944,plain,
% 2.64/2.89 (s(elem!1) = s(s(s(s(z))))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1943, 1454, 216, 75, 1205, 115, 1422, 1403, 169, 526, 204, 1352, 1285, 1398, 177, 765, 262])).
% 2.64/2.89 tff(1945,plain,
% 2.64/2.89 (s(s(s(s(z)))) = s(elem!1)),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1944, 1378])).
% 2.64/2.89 tff(1946,plain,
% 2.64/2.89 (inj_0(s(elem!1)) = inj_0(s(s(s(s(z)))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1944])).
% 2.64/2.89 tff(1947,plain,
% 2.64/2.89 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 2.64/2.89 inference(symmetry,[status(thm)],[1946])).
% 2.64/2.89 tff(1948,plain,
% 2.64/2.89 (s(s(s(z))) = elem!1),
% 2.64/2.89 inference(transitivity,[status(thm)],[20, 1947, 1443])).
% 2.64/2.89 tff(1949,plain,
% 2.64/2.89 ((s(s(s(z))) = z) <=> (elem!1 = z)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1948])).
% 2.64/2.89 tff(1950,plain,
% 2.64/2.89 ((s(s(s(z))) = z) <=> (z = elem!1)),
% 2.64/2.89 inference(transitivity,[status(thm)],[1949, 1692])).
% 2.64/2.89 tff(1951,plain,
% 2.64/2.89 ((~(s(s(s(z))) = z)) <=> (~(z = elem!1))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1950])).
% 2.64/2.89 tff(1952,plain,
% 2.64/2.89 (~(z = elem!1)),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[194, 1951])).
% 2.64/2.89 tff(1953,plain,
% 2.64/2.89 (s(elem!1) = s(s(s(s(z))))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1459, 1456])).
% 2.64/2.89 tff(1954,plain,
% 2.64/2.89 (inj_0(s(elem!1)) = inj_0(s(s(s(s(z)))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1953])).
% 2.64/2.89 tff(1955,plain,
% 2.64/2.89 (elem!1 = s(s(s(z)))),
% 2.64/2.89 inference(transitivity,[status(thm)],[1444, 1954, 19])).
% 2.64/2.89 tff(1956,plain,
% 2.64/2.89 (s(s(elem!1)) = s(s(s(s(s(z)))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1953])).
% 2.64/2.89 tff(1957,plain,
% 2.64/2.89 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1956, 1955])).
% 2.64/2.89 tff(1958,plain,
% 2.64/2.89 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(elem!1)), elem!1)),
% 2.64/2.89 inference(symmetry,[status(thm)],[1957])).
% 2.64/2.89 tff(1959,plain,
% 2.64/2.89 ((~b(s(s(s(s(s(z))))), s(s(s(z))))) <=> (~b(s(s(elem!1)), elem!1))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1958])).
% 2.64/2.89 tff(1960,plain,
% 2.64/2.89 (~(elem!1 = z)),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1697, 1695])).
% 2.64/2.89 tff(1961,assumption,(s(elem!1) = s(s(s(s(z))))), introduced(assumption)).
% 2.64/2.89 tff(1962,plain,
% 2.64/2.89 (b(s(elem!1), z) <=> b(s(s(s(s(z)))), z)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1961])).
% 2.64/2.89 tff(1963,plain,
% 2.64/2.89 (b(s(s(s(s(z)))), z)),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1707, 1962])).
% 2.64/2.89 tff(1964,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[309, 1963])).
% 2.64/2.89 tff(1965,plain,((~b(s(elem!1), z)) | b(s(s(s(s(z)))), z) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1966,plain,
% 2.64/2.89 (~b(s(elem!1), z)),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1965, 1953, 309])).
% 2.64/2.89 tff(1967,plain,
% 2.64/2.89 (r(s(elem!1), z)),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1669, 1966])).
% 2.64/2.89 tff(1968,plain,
% 2.64/2.89 (r(s(elem!1), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1953])).
% 2.64/2.89 tff(1969,plain,
% 2.64/2.89 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.64/2.89 inference(symmetry,[status(thm)],[1968])).
% 2.64/2.89 tff(1970,plain,
% 2.64/2.89 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1956])).
% 2.64/2.89 tff(1971,plain,
% 2.64/2.89 (r(s(s(s(s(z)))), s(s(s(s(s(z)))))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.64/2.89 inference(symmetry,[status(thm)],[1970])).
% 2.64/2.89 tff(1972,plain,
% 2.64/2.89 (r(s(s(s(s(z)))), s(s(s(s(s(z)))))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.64/2.89 inference(transitivity,[status(thm)],[1971, 1969])).
% 2.64/2.89 tff(1973,plain,
% 2.64/2.89 (r(s(elem!1), s(s(elem!1)))),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[115, 1972])).
% 2.64/2.89 tff(1974,plain,
% 2.64/2.89 (s(s(elem!1)) = s(s(s(s(s(z)))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1961])).
% 2.64/2.89 tff(1975,assumption,(elem!1 = s(s(elem!1))), introduced(assumption)).
% 2.64/2.89 tff(1976,plain,
% 2.64/2.89 (s(s(s(s(z)))) = s(elem!1)),
% 2.64/2.89 inference(symmetry,[status(thm)],[1961])).
% 2.64/2.89 tff(1977,plain,
% 2.64/2.89 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1976])).
% 2.64/2.89 tff(1978,plain,
% 2.64/2.89 (s(s(s(z))) = s(s(s(s(s(z)))))),
% 2.64/2.89 inference(transitivity,[status(thm)],[20, 1977, 1443, 1975, 1974])).
% 2.64/2.89 tff(1979,plain,
% 2.64/2.89 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(z))))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1978])).
% 2.64/2.89 tff(1980,plain,
% 2.64/2.89 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(s(z))))),
% 2.64/2.89 inference(symmetry,[status(thm)],[1979])).
% 2.64/2.89 tff(1981,plain,
% 2.64/2.89 (s(s(s(s(z)))) = s(s(z))),
% 2.64/2.89 inference(transitivity,[status(thm)],[26, 1980, 13])).
% 2.64/2.89 tff(1982,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[51, 1981])).
% 2.64/2.89 tff(1983,plain,((~(elem!1 = s(s(elem!1)))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1984,plain,
% 2.64/2.89 (~(elem!1 = s(s(elem!1)))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1983, 1953])).
% 2.64/2.89 tff(1985,plain,
% 2.64/2.89 (~(s(elem!1) = s(s(elem!1)))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1914, 1984])).
% 2.64/2.89 tff(1986,plain,
% 2.64/2.89 (s(elem!1) = elem!1),
% 2.64/2.89 inference(symmetry,[status(thm)],[1894])).
% 2.64/2.89 tff(1987,plain,
% 2.64/2.89 (s(s(elem!1)) = s(elem!1)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1986])).
% 2.64/2.89 tff(1988,plain,
% 2.64/2.89 (s(elem!1) = s(s(elem!1))),
% 2.64/2.89 inference(symmetry,[status(thm)],[1987])).
% 2.64/2.89 tff(1989,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1905, 1988])).
% 2.64/2.89 tff(1990,plain,((~(elem!1 = s(elem!1))) | (s(elem!1) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1991,plain,
% 2.64/2.89 (~(elem!1 = s(elem!1))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1990, 1985])).
% 2.64/2.89 tff(1992,plain,
% 2.64/2.89 ((s(elem!1) = elem!1) <=> (elem!1 = s(elem!1))),
% 2.64/2.89 inference(commutativity,[status(thm)],[])).
% 2.64/2.89 tff(1993,assumption,(s(elem!1) = elem!1), introduced(assumption)).
% 2.64/2.89 tff(1994,plain,
% 2.64/2.89 (elem!1 = s(elem!1)),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 2.64/2.89 tff(1995,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1917, 1994])).
% 2.64/2.89 tff(1996,plain,((~(s(elem!1) = elem!1)) | (elem!1 = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(1997,plain,
% 2.64/2.89 (~(s(elem!1) = elem!1)),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1996, 1991])).
% 2.64/2.89 tff(1998,plain,
% 2.64/2.89 (b(s(elem!1), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1953])).
% 2.64/2.89 tff(1999,plain,
% 2.64/2.89 (b(s(s(s(s(z)))), elem!1) <=> b(s(elem!1), elem!1)),
% 2.64/2.89 inference(symmetry,[status(thm)],[1998])).
% 2.64/2.89 tff(2000,plain,
% 2.64/2.89 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 2.64/2.89 inference(symmetry,[status(thm)],[1954])).
% 2.64/2.89 tff(2001,plain,
% 2.64/2.89 (s(s(s(z))) = elem!1),
% 2.64/2.89 inference(transitivity,[status(thm)],[20, 2000, 1443])).
% 2.64/2.89 tff(2002,plain,
% 2.64/2.89 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), elem!1)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2001])).
% 2.64/2.89 tff(2003,plain,
% 2.64/2.89 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(elem!1), elem!1)),
% 2.64/2.89 inference(transitivity,[status(thm)],[2002, 1999])).
% 2.64/2.89 tff(2004,plain,
% 2.64/2.89 ((~b(s(s(s(s(z)))), s(s(s(z))))) <=> (~b(s(elem!1), elem!1))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2003])).
% 2.64/2.89 tff(2005,plain,
% 2.64/2.89 (r(elem!1, s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(s(z))))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1955, 1956])).
% 2.64/2.89 tff(2006,plain,
% 2.64/2.89 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(z))), s(s(s(s(s(z))))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1955, 1956])).
% 2.64/2.89 tff(2007,plain,
% 2.64/2.89 (b(s(s(s(z))), s(s(s(s(s(z)))))) <=> b(elem!1, s(s(elem!1)))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2006])).
% 2.64/2.89 tff(2008,plain,
% 2.64/2.89 ((~b(s(s(s(z))), s(s(s(s(s(z))))))) <=> (~b(elem!1, s(s(elem!1))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2007])).
% 2.64/2.89 tff(2009,plain,
% 2.64/2.89 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[1322, 1350, 72, 318, 177, 1346])).
% 2.64/2.89 tff(2010,plain,
% 2.64/2.89 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[295, 2009])).
% 2.64/2.89 tff(2011,plain,
% 2.64/2.89 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1456])).
% 2.64/2.89 tff(2012,plain,
% 2.64/2.89 (inj_0(s(elem!1)) = inj_0(s(s(s(s(z)))))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2011])).
% 2.64/2.89 tff(2013,assumption,(elem!1 = s(z)), introduced(assumption)).
% 2.64/2.89 tff(2014,plain,
% 2.64/2.89 (s(z) = elem!1),
% 2.64/2.89 inference(symmetry,[status(thm)],[2013])).
% 2.64/2.89 tff(2015,plain,
% 2.64/2.89 (s(z) = s(s(s(z)))),
% 2.64/2.89 inference(transitivity,[status(thm)],[2014, 1444, 2012, 19])).
% 2.64/2.89 tff(2016,plain,
% 2.64/2.89 (inj_0(s(z)) = inj_0(s(s(s(z))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2015])).
% 2.64/2.89 tff(2017,plain,
% 2.64/2.89 (inj_0(s(s(s(z)))) = inj_0(s(z))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2016])).
% 2.64/2.89 tff(2018,plain,
% 2.64/2.89 (s(s(z)) = z),
% 2.64/2.89 inference(transitivity,[status(thm)],[39, 2017, 29])).
% 2.64/2.89 tff(2019,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[49, 2018])).
% 2.64/2.89 tff(2020,plain,((~(elem!1 = s(z))) | (~(s(s(s(s(z)))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(2021,plain,
% 2.64/2.89 (~(elem!1 = s(z))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[2020, 1456])).
% 2.64/2.89 tff(2022,plain,
% 2.64/2.89 ((elem!1 = s(z)) <=> (s(z) = elem!1)),
% 2.64/2.89 inference(commutativity,[status(thm)],[])).
% 2.64/2.89 tff(2023,plain,
% 2.64/2.89 ((s(z) = elem!1) <=> (elem!1 = s(z))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2022])).
% 2.64/2.89 tff(2024,assumption,(s(z) = elem!1), introduced(assumption)).
% 2.64/2.89 tff(2025,plain,
% 2.64/2.89 (elem!1 = s(z)),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 2.64/2.89 tff(2026,assumption,(~(elem!1 = s(z))), introduced(assumption)).
% 2.64/2.89 tff(2027,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[2026, 2025])).
% 2.64/2.89 tff(2028,plain,((~(s(z) = elem!1)) | (elem!1 = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(2029,plain,
% 2.64/2.89 (~(s(z) = elem!1)),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[2028, 2021])).
% 2.64/2.89 tff(2030,plain,
% 2.64/2.89 (inj_0(s(elem!1)) = inj_0(s(s(s(s(z)))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[1961])).
% 2.64/2.89 tff(2031,plain,
% 2.64/2.89 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2030])).
% 2.64/2.89 tff(2032,plain,
% 2.64/2.89 (s(s(s(z))) = elem!1),
% 2.64/2.89 inference(transitivity,[status(thm)],[20, 2031, 1443])).
% 2.64/2.89 tff(2033,plain,
% 2.64/2.89 (b(s(z), s(s(s(z)))) <=> b(s(z), elem!1)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2032])).
% 2.64/2.89 tff(2034,plain,
% 2.64/2.89 (b(s(z), elem!1) <=> b(s(z), s(s(s(z))))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2033])).
% 2.64/2.89 tff(2035,assumption,(~(s(z) = elem!1)), introduced(assumption)).
% 2.64/2.89 tff(2036,plain,
% 2.64/2.89 (r(s(z), s(s(s(z)))) <=> r(s(z), elem!1)),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2032])).
% 2.64/2.89 tff(2037,plain,
% 2.64/2.89 ((~r(s(z), s(s(s(z))))) <=> (~r(s(z), elem!1))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2036])).
% 2.64/2.89 tff(2038,assumption,(s(s(s(s(s(s(z)))))) = elem!1), introduced(assumption)).
% 2.64/2.89 tff(2039,plain,
% 2.64/2.89 (elem!1 = s(s(s(s(s(s(z))))))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2038])).
% 2.64/2.89 tff(2040,plain,
% 2.64/2.89 (s(s(s(z))) = s(s(s(s(s(s(z))))))),
% 2.64/2.89 inference(transitivity,[status(thm)],[20, 2031, 1443, 2039])).
% 2.64/2.89 tff(2041,plain,
% 2.64/2.89 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2040])).
% 2.64/2.89 tff(2042,plain,
% 2.64/2.89 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(s(z))))),
% 2.64/2.89 inference(symmetry,[status(thm)],[2041])).
% 2.64/2.89 tff(2043,plain,
% 2.64/2.89 (s(s(s(s(s(z))))) = s(s(z))),
% 2.64/2.89 inference(transitivity,[status(thm)],[233, 2042, 13])).
% 2.64/2.89 tff(2044,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[785, 2043])).
% 2.64/2.89 tff(2045,plain,((~(s(s(s(s(s(s(z)))))) = elem!1)) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(2046,plain,
% 2.64/2.89 (~(s(s(s(s(s(s(z)))))) = elem!1)),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[2045, 1961])).
% 2.64/2.89 tff(2047,plain,
% 2.64/2.89 ((s(s(s(s(s(s(z)))))) = elem!1) <=> (elem!1 = s(s(s(s(s(s(z)))))))),
% 2.64/2.89 inference(commutativity,[status(thm)],[])).
% 2.64/2.89 tff(2048,plain,
% 2.64/2.89 ((elem!1 = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = elem!1)),
% 2.64/2.89 inference(symmetry,[status(thm)],[2047])).
% 2.64/2.89 tff(2049,plain,
% 2.64/2.89 (s(s(s(s(s(s(z)))))) = elem!1),
% 2.64/2.89 inference(modus_ponens,[status(thm)],[1804, 2048])).
% 2.64/2.89 tff(2050,assumption,(~(s(s(s(s(s(s(z)))))) = elem!1)), introduced(assumption)).
% 2.64/2.89 tff(2051,plain,
% 2.64/2.89 ($false),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[2050, 2049])).
% 2.64/2.89 tff(2052,plain,((~(elem!1 = s(s(s(s(s(s(z)))))))) | (s(s(s(s(s(s(z)))))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.64/2.89 tff(2053,plain,
% 2.64/2.89 (~(elem!1 = s(s(s(s(s(s(z)))))))),
% 2.64/2.89 inference(unit_resolution,[status(thm)],[2052, 2046])).
% 2.64/2.89 tff(2054,assumption,(b(s(s(s(z))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.64/2.89 tff(2055,plain,
% 2.64/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(2056,plain,
% 2.64/2.89 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.64/2.89 inference(rewrite,[status(thm)],[])).
% 2.64/2.89 tff(2057,plain,
% 2.64/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))))),
% 2.64/2.89 inference(monotonicity,[status(thm)],[2056])).
% 2.64/2.89 tff(2058,plain,
% 2.64/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.64/2.90 inference(transitivity,[status(thm)],[2057, 2055])).
% 2.64/2.90 tff(2059,plain,
% 2.64/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.64/2.90 inference(quant_inst,[status(thm)],[])).
% 2.64/2.90 tff(2060,plain,
% 2.64/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 2.64/2.90 inference(modus_ponens,[status(thm)],[2059, 2058])).
% 2.64/2.90 tff(2061,plain,
% 2.64/2.90 (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(unit_resolution,[status(thm)],[2060, 91, 348, 177, 526, 2054, 349])).
% 2.64/2.90 tff(2062,plain,
% 2.64/2.90 (b(s(s(s(z))), s(s(s(s(s(s(z))))))) <=> b(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(monotonicity,[status(thm)],[2032])).
% 2.64/2.90 tff(2063,plain,
% 2.64/2.90 (b(elem!1, s(s(s(s(s(s(z))))))) <=> b(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(symmetry,[status(thm)],[2062])).
% 2.64/2.90 tff(2064,plain,
% 2.64/2.90 (b(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(modus_ponens,[status(thm)],[1838, 2063])).
% 2.64/2.90 tff(2065,assumption,(~b(s(s(s(z))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.90 tff(2066,plain,
% 2.64/2.90 ($false),
% 2.64/2.90 inference(unit_resolution,[status(thm)],[2065, 2064])).
% 2.64/2.90 tff(2067,plain,(b(s(s(s(z))), s(s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.90 tff(2068,plain,
% 2.64/2.90 (~b(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(unit_resolution,[status(thm)],[2067, 2061, 1961])).
% 2.64/2.90 tff(2069,plain,
% 2.64/2.90 (r(elem!1, s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(unit_resolution,[status(thm)],[1833, 2068, 2053])).
% 2.64/2.90 tff(2070,plain,
% 2.64/2.90 (elem!1 = s(s(s(z)))),
% 2.64/2.90 inference(transitivity,[status(thm)],[1444, 2030, 19])).
% 2.64/2.90 tff(2071,plain,
% 2.64/2.90 (r(elem!1, s(s(s(s(s(s(z))))))) <=> r(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(monotonicity,[status(thm)],[2070])).
% 2.64/2.90 tff(2072,assumption,(r(elem!1, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.90 tff(2073,plain,
% 2.64/2.90 (r(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 2.64/2.90 tff(2074,assumption,(~r(s(s(s(z))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.64/2.90 tff(2075,plain,
% 2.64/2.90 ($false),
% 2.64/2.90 inference(unit_resolution,[status(thm)],[2074, 2073])).
% 2.64/2.90 tff(2076,plain,((~r(elem!1, s(s(s(s(s(s(z)))))))) | r(s(s(s(z))), s(s(s(s(s(s(z))))))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.64/2.90 tff(2077,plain,
% 2.64/2.90 (r(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.64/2.90 inference(unit_resolution,[status(thm)],[2076, 2069, 1961])).
% 2.64/2.90 tff(2078,plain,
% 2.64/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2079,plain,
% 2.74/2.90 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(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(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2080,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2079])).
% 2.74/2.90 tff(2081,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))),
% 2.74/2.90 inference(transitivity,[status(thm)],[2080, 2078])).
% 2.74/2.90 tff(2082,plain,
% 2.74/2.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(z))))))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2083,plain,
% 2.74/2.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2082, 2081])).
% 2.74/2.90 tff(2084,plain,
% 2.74/2.90 (~r(s(z), s(s(s(z))))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2083, 125, 204, 135, 2077, 269])).
% 2.74/2.90 tff(2085,plain,
% 2.74/2.90 (~r(s(z), elem!1)),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2084, 2037])).
% 2.74/2.90 tff(2086,plain,
% 2.74/2.90 (((~![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))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2087,plain,
% 2.74/2.90 ((~![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))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2088,plain,
% 2.74/2.90 ((~![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)),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 2.74/2.90 tff(2089,plain,
% 2.74/2.90 ((s(z) = elem!1) | b(s(z), elem!1) | r(s(z), elem!1)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2088, 64])).
% 2.74/2.90 tff(2090,plain,
% 2.74/2.90 (b(s(z), elem!1)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2089, 2085, 2035])).
% 2.74/2.90 tff(2091,plain,
% 2.74/2.90 (b(s(z), s(s(s(z))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2090, 2034])).
% 2.74/2.90 tff(2092,plain,
% 2.74/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2093,plain,
% 2.74/2.90 (((~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2094,plain,
% 2.74/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(z)))))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2093])).
% 2.74/2.90 tff(2095,plain,
% 2.74/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 2.74/2.90 inference(transitivity,[status(thm)],[2094, 2092])).
% 2.74/2.90 tff(2096,plain,
% 2.74/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2097,plain,
% 2.74/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(z)))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 2.74/2.90 tff(2098,plain,
% 2.74/2.90 ($false),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2097, 91, 348, 318, 177, 526, 2054, 2091])).
% 2.74/2.90 tff(2099,plain,((~b(s(s(s(z))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~(s(elem!1) = s(s(s(s(z)))))) | (s(z) = elem!1) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.90 tff(2100,plain,
% 2.74/2.90 (~b(s(s(s(z))), s(s(s(s(s(z))))))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2099, 1953, 318, 177, 526, 1350, 2029, 204, 135, 2010, 349])).
% 2.74/2.90 tff(2101,plain,
% 2.74/2.90 (~b(elem!1, s(s(elem!1)))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2100, 2008])).
% 2.74/2.90 tff(2102,plain,
% 2.74/2.90 (((~![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))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2103,plain,
% 2.74/2.90 ((~![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))))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2104,plain,
% 2.74/2.90 ((~![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)))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 2.74/2.90 tff(2105,plain,
% 2.74/2.90 ((elem!1 = s(s(elem!1))) | b(elem!1, s(s(elem!1))) | r(elem!1, s(s(elem!1)))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2104, 64])).
% 2.74/2.90 tff(2106,plain,
% 2.74/2.90 (r(elem!1, s(s(elem!1)))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2105, 2101, 1984])).
% 2.74/2.90 tff(2107,plain,
% 2.74/2.90 (r(s(s(s(z))), s(s(s(s(s(z))))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2106, 2005])).
% 2.74/2.90 tff(2108,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2109,plain,
% 2.74/2.90 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2110,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z)))))))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2109])).
% 2.74/2.90 tff(2111,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.90 inference(transitivity,[status(thm)],[2110, 2108])).
% 2.74/2.90 tff(2112,plain,
% 2.74/2.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(z))))))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2113,plain,
% 2.74/2.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(z)))))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 2.74/2.90 tff(2114,plain,
% 2.74/2.90 (~r(z, s(s(s(z))))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2113, 125, 410, 75, 270, 2107])).
% 2.74/2.90 tff(2115,plain,
% 2.74/2.90 (r(z, s(s(s(z)))) <=> r(z, elem!1)),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2032])).
% 2.74/2.90 tff(2116,plain,
% 2.74/2.90 (r(z, elem!1) <=> r(z, s(s(s(z))))),
% 2.74/2.90 inference(symmetry,[status(thm)],[2115])).
% 2.74/2.90 tff(2117,assumption,(r(z, elem!1)), introduced(assumption)).
% 2.74/2.90 tff(2118,plain,
% 2.74/2.90 (r(z, s(s(s(z))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 2.74/2.90 tff(2119,assumption,(~r(z, s(s(s(z))))), introduced(assumption)).
% 2.74/2.90 tff(2120,plain,
% 2.74/2.90 ($false),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2119, 2118])).
% 2.74/2.90 tff(2121,plain,((~r(z, elem!1)) | r(z, s(s(s(z)))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.90 tff(2122,plain,
% 2.74/2.90 (~r(z, elem!1)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2121, 2114, 1953])).
% 2.74/2.90 tff(2123,plain,
% 2.74/2.90 (((~![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))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2124,plain,
% 2.74/2.90 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = elem!1) | b(z, elem!1) | r(z, elem!1))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2125,plain,
% 2.74/2.90 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = elem!1) | b(z, elem!1) | r(z, elem!1)),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 2.74/2.90 tff(2126,plain,
% 2.74/2.90 ((z = elem!1) | b(z, elem!1) | r(z, elem!1)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2125, 64])).
% 2.74/2.90 tff(2127,plain,
% 2.74/2.90 (b(z, elem!1)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2126, 2122, 1695])).
% 2.74/2.90 tff(2128,plain,
% 2.74/2.90 (b(z, elem!1) <=> b(z, s(s(s(z))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2070])).
% 2.74/2.90 tff(2129,assumption,(b(z, elem!1)), introduced(assumption)).
% 2.74/2.90 tff(2130,plain,
% 2.74/2.90 (b(z, s(s(s(z))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 2.74/2.90 tff(2131,assumption,(~b(z, s(s(s(z))))), introduced(assumption)).
% 2.74/2.90 tff(2132,plain,
% 2.74/2.90 ($false),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2131, 2130])).
% 2.74/2.90 tff(2133,plain,((~b(z, elem!1)) | b(z, s(s(s(z)))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.90 tff(2134,plain,
% 2.74/2.90 (b(z, s(s(s(z))))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2133, 2127, 1953])).
% 2.74/2.90 tff(2135,plain,
% 2.74/2.90 (~(s(s(s(s(s(s(z)))))) = elem!1)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2045, 1953])).
% 2.74/2.90 tff(2136,plain,
% 2.74/2.90 (~(elem!1 = s(s(s(s(s(s(z)))))))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2052, 2135])).
% 2.74/2.90 tff(2137,assumption,(r(s(s(s(z))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.74/2.90 tff(2138,assumption,(r(s(s(s(z))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.74/2.90 tff(2139,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2140,plain,
% 2.74/2.90 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2141,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(z)))))))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2140])).
% 2.74/2.90 tff(2142,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.90 inference(transitivity,[status(thm)],[2141, 2139])).
% 2.74/2.90 tff(2143,plain,
% 2.74/2.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2144,plain,
% 2.74/2.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(z)))))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 2.74/2.90 tff(2145,plain,
% 2.74/2.90 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2144, 125, 765, 75, 2138])).
% 2.74/2.90 tff(2146,plain,
% 2.74/2.90 (~r(s(s(s(z))), z)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2145, 2137])).
% 2.74/2.90 tff(2147,plain,
% 2.74/2.90 (((~![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))),
% 2.74/2.90 inference(rewrite,[status(thm)],[])).
% 2.74/2.90 tff(2148,plain,
% 2.74/2.90 ((~![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))),
% 2.74/2.90 inference(quant_inst,[status(thm)],[])).
% 2.74/2.90 tff(2149,plain,
% 2.74/2.90 ((~![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)),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 2.74/2.90 tff(2150,plain,
% 2.74/2.90 (b(s(s(s(z))), z)),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[2149, 64, 194, 2146])).
% 2.74/2.90 tff(2151,assumption,(b(z, s(s(s(z))))), introduced(assumption)).
% 2.74/2.90 tff(2152,plain,
% 2.74/2.90 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2032])).
% 2.74/2.90 tff(2153,plain,
% 2.74/2.90 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(s(z))), s(s(s(s(z)))))),
% 2.74/2.90 inference(symmetry,[status(thm)],[2152])).
% 2.74/2.90 tff(2154,plain,
% 2.74/2.90 ((elem!1 = s(elem!1)) <=> (elem!1 = s(s(s(s(z)))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[1961])).
% 2.74/2.90 tff(2155,plain,
% 2.74/2.90 ((~(elem!1 = s(elem!1))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2154])).
% 2.74/2.90 tff(2156,plain,
% 2.74/2.90 (~(elem!1 = s(s(elem!1)))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[1983, 1961])).
% 2.74/2.90 tff(2157,plain,
% 2.74/2.90 (~(s(elem!1) = s(s(elem!1)))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[1914, 2156])).
% 2.74/2.90 tff(2158,plain,
% 2.74/2.90 (~(elem!1 = s(elem!1))),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[1990, 2157])).
% 2.74/2.90 tff(2159,plain,
% 2.74/2.90 (~(elem!1 = s(s(s(s(z)))))),
% 2.74/2.90 inference(modus_ponens,[status(thm)],[2158, 2155])).
% 2.74/2.90 tff(2160,plain,
% 2.74/2.90 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(elem!1, s(s(s(s(z)))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2032])).
% 2.74/2.90 tff(2161,plain,
% 2.74/2.90 ((~r(s(s(s(z))), s(s(s(s(z)))))) <=> (~r(elem!1, s(s(s(s(z))))))),
% 2.74/2.90 inference(monotonicity,[status(thm)],[2160])).
% 2.74/2.90 tff(2162,plain,
% 2.74/2.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2163,plain,
% 2.74/2.91 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(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(s(s(s(s(z))))))))) <=> ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2164,plain,
% 2.74/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(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(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(monotonicity,[status(thm)],[2163])).
% 2.74/2.91 tff(2165,plain,
% 2.74/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(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(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))))),
% 2.74/2.91 inference(transitivity,[status(thm)],[2164, 2162])).
% 2.74/2.91 tff(2166,plain,
% 2.74/2.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(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(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(quant_inst,[status(thm)],[])).
% 2.74/2.91 tff(2167,plain,
% 2.74/2.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z)))))))),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 2.74/2.91 tff(2168,plain,
% 2.74/2.91 ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2167, 125, 204, 115, 2138])).
% 2.74/2.91 tff(2169,plain,
% 2.74/2.91 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2168, 2137])).
% 2.74/2.91 tff(2170,plain,
% 2.74/2.91 (~r(elem!1, s(s(s(s(z)))))),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2169, 2161])).
% 2.74/2.91 tff(2171,plain,
% 2.74/2.91 (b(elem!1, s(s(s(s(z)))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[1792, 2170, 2159])).
% 2.74/2.91 tff(2172,plain,
% 2.74/2.91 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2171, 2153])).
% 2.74/2.91 tff(2173,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(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(X1, 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))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2174,plain,
% 2.74/2.91 (((~b(s(z), 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(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2175,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(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(X1, 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))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 2.74/2.91 inference(monotonicity,[status(thm)],[2174])).
% 2.74/2.91 tff(2176,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(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(X1, 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))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.74/2.91 inference(transitivity,[status(thm)],[2175, 2173])).
% 2.74/2.91 tff(2177,plain,
% 2.74/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.74/2.91 inference(quant_inst,[status(thm)],[])).
% 2.74/2.91 tff(2178,plain,
% 2.74/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2177, 2176])).
% 2.74/2.91 tff(2179,plain,
% 2.74/2.91 ($false),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2178, 91, 2172, 178, 177, 72, 2151, 2150])).
% 2.74/2.91 tff(2180,plain,((~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~(s(elem!1) = s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.91 tff(2181,plain,
% 2.74/2.91 (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2180, 2134, 177, 72, 178, 1953, 204, 115, 2107, 765, 75])).
% 2.74/2.91 tff(2182,plain,
% 2.74/2.91 (~r(elem!1, s(s(s(s(s(s(z)))))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2076, 2181, 1953])).
% 2.74/2.91 tff(2183,plain,
% 2.74/2.91 (b(elem!1, s(s(s(s(s(s(z)))))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[1833, 2182, 2136])).
% 2.74/2.91 tff(2184,plain,
% 2.74/2.91 (b(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2067, 2183, 1953])).
% 2.74/2.91 tff(2185,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(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(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2186,plain,
% 2.74/2.91 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(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(s(s(s(s(z)))), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2187,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))))),
% 2.74/2.91 inference(monotonicity,[status(thm)],[2186])).
% 2.74/2.91 tff(2188,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(transitivity,[status(thm)],[2187, 2185])).
% 2.74/2.91 tff(2189,plain,
% 2.74/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(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)))))))),
% 2.74/2.91 inference(quant_inst,[status(thm)],[])).
% 2.74/2.91 tff(2190,plain,
% 2.74/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 2.74/2.91 tff(2191,plain,
% 2.74/2.91 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2190, 91, 178, 177, 526, 2184, 2134])).
% 2.74/2.91 tff(2192,plain,
% 2.74/2.91 (~b(s(elem!1), elem!1)),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2191, 2004])).
% 2.74/2.91 tff(2193,assumption,(~r(s(elem!1), elem!1)), introduced(assumption)).
% 2.74/2.91 tff(2194,assumption,(~(s(elem!1) = elem!1)), introduced(assumption)).
% 2.74/2.91 tff(2195,plain,
% 2.74/2.91 (((~![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))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2196,plain,
% 2.74/2.91 ((~![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))),
% 2.74/2.91 inference(quant_inst,[status(thm)],[])).
% 2.74/2.91 tff(2197,plain,
% 2.74/2.91 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = elem!1) | b(s(elem!1), elem!1) | r(s(elem!1), elem!1)),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 2.74/2.91 tff(2198,plain,
% 2.74/2.91 ($false),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2197, 64, 1800, 2194, 2193])).
% 2.74/2.91 tff(2199,plain,(b(s(elem!1), elem!1) | (s(elem!1) = elem!1) | r(s(elem!1), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.74/2.91 tff(2200,plain,
% 2.74/2.91 (r(s(elem!1), elem!1)),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2199, 2192, 1997])).
% 2.74/2.91 tff(2201,assumption,(r(s(elem!1), s(s(elem!1)))), introduced(assumption)).
% 2.74/2.91 tff(2202,assumption,(r(s(elem!1), elem!1)), introduced(assumption)).
% 2.74/2.91 tff(2203,assumption,(r(elem!1, z)), introduced(assumption)).
% 2.74/2.91 tff(2204,plain,
% 2.74/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2205,plain,
% 2.74/2.91 (((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1))) <=> ((~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2206,plain,
% 2.74/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 2.74/2.91 inference(monotonicity,[status(thm)],[2205])).
% 2.74/2.91 tff(2207,plain,
% 2.74/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.74/2.91 inference(transitivity,[status(thm)],[2206, 2204])).
% 2.74/2.91 tff(2208,plain,
% 2.74/2.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)))),
% 2.74/2.91 inference(quant_inst,[status(thm)],[])).
% 2.74/2.91 tff(2209,plain,
% 2.74/2.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2208, 2207])).
% 2.74/2.91 tff(2210,plain,
% 2.74/2.91 ($false),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2209, 125, 1477, 2203, 2202, 2201, 1376])).
% 2.74/2.91 tff(2211,plain,((~r(z, s(s(elem!1)))) | (~r(s(elem!1), z)) | (~r(elem!1, z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.91 tff(2212,plain,
% 2.74/2.91 (~r(elem!1, z)),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2211, 2200, 1973, 1967, 1376])).
% 2.74/2.91 tff(2213,plain,
% 2.74/2.91 (((~![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))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2214,plain,
% 2.74/2.91 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = z) | b(elem!1, z) | r(elem!1, z))),
% 2.74/2.91 inference(quant_inst,[status(thm)],[])).
% 2.74/2.91 tff(2215,plain,
% 2.74/2.91 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = z) | b(elem!1, z) | r(elem!1, z)),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 2.74/2.91 tff(2216,plain,
% 2.74/2.91 ((elem!1 = z) | b(elem!1, z) | r(elem!1, z)),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2215, 64])).
% 2.74/2.91 tff(2217,plain,
% 2.74/2.91 (b(elem!1, z)),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2216, 2212, 1960])).
% 2.74/2.91 tff(2218,plain,
% 2.74/2.91 (b(elem!1, z) <=> b(s(s(s(z))), z)),
% 2.74/2.91 inference(monotonicity,[status(thm)],[2070])).
% 2.74/2.91 tff(2219,assumption,(b(elem!1, z)), introduced(assumption)).
% 2.74/2.91 tff(2220,plain,
% 2.74/2.91 (b(s(s(s(z))), z)),
% 2.74/2.91 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 2.74/2.91 tff(2221,assumption,(~b(s(s(s(z))), z)), introduced(assumption)).
% 2.74/2.91 tff(2222,plain,
% 2.74/2.91 ($false),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2221, 2220])).
% 2.74/2.91 tff(2223,plain,((~b(elem!1, z)) | b(s(s(s(z))), z) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.91 tff(2224,plain,
% 2.74/2.91 (b(s(s(s(z))), z)),
% 2.74/2.91 inference(unit_resolution,[status(thm)],[2223, 2217, 1953])).
% 2.74/2.91 tff(2225,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2226,plain,
% 2.74/2.91 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(rewrite,[status(thm)],[])).
% 2.74/2.91 tff(2227,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))))),
% 2.74/2.91 inference(monotonicity,[status(thm)],[2226])).
% 2.74/2.91 tff(2228,plain,
% 2.74/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.91 inference(transitivity,[status(thm)],[2227, 2225])).
% 2.74/2.91 tff(2229,plain,
% 2.74/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))))),
% 2.74/2.91 inference(quant_inst,[status(thm)],[])).
% 2.74/2.91 tff(2230,plain,
% 2.74/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 2.74/2.92 tff(2231,plain,
% 2.74/2.92 ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2230, 91, 1346, 178, 318, 2184])).
% 2.74/2.92 tff(2232,plain,
% 2.74/2.92 (~b(s(s(s(s(s(z))))), s(s(s(z))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2231, 2224])).
% 2.74/2.92 tff(2233,plain,
% 2.74/2.92 (~b(s(s(elem!1)), elem!1)),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2232, 1959])).
% 2.74/2.92 tff(2234,assumption,(s(s(elem!1)) = elem!1), introduced(assumption)).
% 2.74/2.92 tff(2235,plain,
% 2.74/2.92 (elem!1 = s(s(elem!1))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2234])).
% 2.74/2.92 tff(2236,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1912, 2235])).
% 2.74/2.92 tff(2237,plain,((~(s(s(elem!1)) = elem!1)) | (elem!1 = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2238,plain,
% 2.74/2.92 (~(s(s(elem!1)) = elem!1)),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2237, 1984])).
% 2.74/2.92 tff(2239,assumption,(r(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.74/2.92 tff(2240,plain,
% 2.74/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2241,plain,
% 2.74/2.92 (((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~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(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2242,plain,
% 2.74/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1))))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2241])).
% 2.74/2.92 tff(2243,plain,
% 2.74/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1)))))),
% 2.74/2.92 inference(transitivity,[status(thm)],[2242, 2240])).
% 2.74/2.92 tff(2244,plain,
% 2.74/2.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(z, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)))),
% 2.74/2.92 inference(quant_inst,[status(thm)],[])).
% 2.74/2.92 tff(2245,plain,
% 2.74/2.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), elem!1)) | (~r(z, s(s(elem!1))))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 2.74/2.92 tff(2246,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2245, 125, 1477, 2202, 2201, 1376, 2239])).
% 2.74/2.92 tff(2247,plain,((~r(s(s(elem!1)), elem!1)) | (~r(s(elem!1), z)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2248,plain,
% 2.74/2.92 (~r(s(s(elem!1)), elem!1)),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2247, 2200, 1376, 1967, 1973])).
% 2.74/2.92 tff(2249,assumption,(~(s(s(elem!1)) = elem!1)), introduced(assumption)).
% 2.74/2.92 tff(2250,assumption,(~b(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.74/2.92 tff(2251,assumption,(~r(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.74/2.92 tff(2252,plain,
% 2.74/2.92 (((~![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))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2253,plain,
% 2.74/2.92 ((~![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))),
% 2.74/2.92 inference(quant_inst,[status(thm)],[])).
% 2.74/2.92 tff(2254,plain,
% 2.74/2.92 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = elem!1) | b(s(s(elem!1)), elem!1) | r(s(s(elem!1)), elem!1)),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 2.74/2.92 tff(2255,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2254, 64, 2251, 2250, 2249])).
% 2.74/2.92 tff(2256,plain,(b(s(s(elem!1)), elem!1) | r(s(s(elem!1)), elem!1) | (s(s(elem!1)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2257,plain,
% 2.74/2.92 (b(s(s(elem!1)), elem!1)),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2256, 2248, 2238])).
% 2.74/2.92 tff(2258,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2257, 2233])).
% 2.74/2.92 tff(2259,plain,((~(s(s(s(s(z)))) = s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (z = elem!1) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2260,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2259, 1952, 1945, 1348, 1376, 177, 526, 72, 204, 115, 765, 75, 317, 1365, 1268, 1354, 1375, 309])).
% 2.74/2.92 tff(2261,plain,((~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), z) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(z))))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | b(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2262,plain,
% 2.74/2.92 (~r(z, s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2261, 765, 526, 72, 204, 115, 177, 1203, 309, 216, 169, 1285, 262])).
% 2.74/2.92 tff(2263,plain,
% 2.74/2.92 ((z = s(s(elem!1))) <=> (s(s(elem!1)) = z)),
% 2.74/2.92 inference(commutativity,[status(thm)],[])).
% 2.74/2.92 tff(2264,plain,
% 2.74/2.92 ((s(s(elem!1)) = z) <=> (z = s(s(elem!1)))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2263])).
% 2.74/2.92 tff(2265,plain,
% 2.74/2.92 ((~(s(s(elem!1)) = z)) <=> (~(z = s(s(elem!1))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2264])).
% 2.74/2.92 tff(2266,plain,
% 2.74/2.92 (~(z = s(s(elem!1)))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[1867, 2265])).
% 2.74/2.92 tff(2267,plain,
% 2.74/2.92 (((~![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))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2268,plain,
% 2.74/2.92 ((~![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))))),
% 2.74/2.92 inference(quant_inst,[status(thm)],[])).
% 2.74/2.92 tff(2269,plain,
% 2.74/2.92 ((~![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)))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 2.74/2.92 tff(2270,plain,
% 2.74/2.92 ((z = s(s(elem!1))) | b(z, s(s(elem!1))) | r(z, s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2269, 64])).
% 2.74/2.92 tff(2271,plain,
% 2.74/2.92 (b(z, s(s(elem!1))) | r(z, s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2270, 2266])).
% 2.74/2.92 tff(2272,plain,
% 2.74/2.92 (b(z, s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2271, 2262])).
% 2.74/2.92 tff(2273,assumption,(b(z, s(s(elem!1)))), introduced(assumption)).
% 2.74/2.92 tff(2274,plain,
% 2.74/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2275,plain,
% 2.74/2.92 (((~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2276,plain,
% 2.74/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2275])).
% 2.74/2.92 tff(2277,plain,
% 2.74/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 2.74/2.92 inference(transitivity,[status(thm)],[2276, 2274])).
% 2.74/2.92 tff(2278,plain,
% 2.74/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/2.92 inference(quant_inst,[status(thm)],[])).
% 2.74/2.92 tff(2279,plain,
% 2.74/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 2.74/2.92 tff(2280,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2279, 91, 2273, 79, 176, 348, 1737, 526])).
% 2.74/2.92 tff(2281,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2282,plain,
% 2.74/2.92 (~b(s(z), s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2281, 2272, 1295, 1314, 1344, 526])).
% 2.74/2.92 tff(2283,plain,
% 2.74/2.92 (r(s(z), s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1402, 2282, 1335])).
% 2.74/2.92 tff(2284,plain,
% 2.74/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2285,plain,
% 2.74/2.92 (((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2286,plain,
% 2.74/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1))))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2285])).
% 2.74/2.92 tff(2287,plain,
% 2.74/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))),
% 2.74/2.92 inference(transitivity,[status(thm)],[2286, 2284])).
% 2.74/2.92 tff(2288,plain,
% 2.74/2.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.92 inference(quant_inst,[status(thm)],[])).
% 2.74/2.92 tff(2289,plain,
% 2.74/2.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1))))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2288, 2287])).
% 2.74/2.92 tff(2290,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2289, 125, 1854, 204, 135, 1379, 269])).
% 2.74/2.92 tff(2291,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2292,plain,
% 2.74/2.92 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2291, 2283, 204, 1267, 1324])).
% 2.74/2.92 tff(2293,plain,
% 2.74/2.92 (~b(s(s(s(s(s(z))))), s(z))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1363, 91, 1295, 1344, 1314, 526])).
% 2.74/2.92 tff(2294,plain,
% 2.74/2.92 (r(s(s(s(s(s(z))))), s(z))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[394, 2293])).
% 2.74/2.92 tff(2295,plain,
% 2.74/2.92 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1373, 2294, 204, 216, 1324])).
% 2.74/2.92 tff(2296,plain,
% 2.74/2.92 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[369, 2295])).
% 2.74/2.92 tff(2297,plain,
% 2.74/2.92 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(s(z))))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[1974])).
% 2.74/2.92 tff(2298,plain,
% 2.74/2.92 (b(z, s(s(s(s(s(z))))))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2273, 2297])).
% 2.74/2.92 tff(2299,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[101, 2298])).
% 2.74/2.92 tff(2300,plain,((~b(z, s(s(elem!1)))) | b(z, s(s(s(s(s(z)))))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2301,plain,
% 2.74/2.92 (~(s(elem!1) = s(s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2300, 2272, 101])).
% 2.74/2.92 tff(2302,plain,
% 2.74/2.92 (~(s(s(s(s(z)))) = s(elem!1))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1459, 2301])).
% 2.74/2.92 tff(2303,plain,
% 2.74/2.92 (~r(s(elem!1), z)),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1664, 2301, 1203, 177, 765, 1324, 1285, 1265, 204, 1205, 317, 1266, 2294, 262, 115])).
% 2.74/2.92 tff(2304,plain,
% 2.74/2.92 (b(s(elem!1), z)),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1669, 2303])).
% 2.74/2.92 tff(2305,plain,
% 2.74/2.92 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1322, 1466, 72, 1462, 177, 1471])).
% 2.74/2.92 tff(2306,plain,
% 2.74/2.92 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[295, 2305])).
% 2.74/2.92 tff(2307,plain,
% 2.74/2.92 (~b(s(z), s(s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1261, 1462, 178, 75, 216, 177])).
% 2.74/2.92 tff(2308,plain,
% 2.74/2.92 (r(s(z), s(s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[563, 2307])).
% 2.74/2.92 tff(2309,plain,
% 2.74/2.92 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1341, 125, 204, 2308, 216])).
% 2.74/2.92 tff(2310,plain,
% 2.74/2.92 (~r(s(z), s(s(s(s(s(z))))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2309, 2306])).
% 2.74/2.92 tff(2311,plain,
% 2.74/2.92 (b(s(z), s(s(s(s(s(z))))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[163, 2310])).
% 2.74/2.92 tff(2312,plain,
% 2.74/2.92 (~b(s(s(s(s(s(z))))), s(z))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1363, 91, 1471, 2311, 1466, 526])).
% 2.74/2.92 tff(2313,plain,
% 2.74/2.92 (r(s(s(s(s(s(z))))), s(z))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[394, 2312])).
% 2.74/2.92 tff(2314,plain,
% 2.74/2.92 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1373, 2313, 204, 216, 2306])).
% 2.74/2.92 tff(2315,plain,
% 2.74/2.92 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[369, 2314])).
% 2.74/2.92 tff(2316,plain,
% 2.74/2.92 (s(s(s(s(s(z))))) = s(elem!1)),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1727, 1488, 1020, 115, 1707, 75, 2311, 178, 2315, 204, 2308, 2306, 1489, 177])).
% 2.74/2.92 tff(2317,plain,
% 2.74/2.92 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[1389])).
% 2.74/2.92 tff(2318,plain,
% 2.74/2.92 (inj_0(s(elem!1)) = inj_0(s(s(s(s(s(z))))))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2317])).
% 2.74/2.92 tff(2319,plain,
% 2.74/2.92 (elem!1 = s(s(s(s(z))))),
% 2.74/2.92 inference(transitivity,[status(thm)],[1444, 2318, 25])).
% 2.74/2.92 tff(2320,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1446, 2319])).
% 2.74/2.92 tff(2321,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | (elem!1 = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2322,plain,
% 2.74/2.92 (elem!1 = s(s(s(s(z))))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2321, 2316])).
% 2.74/2.92 tff(2323,plain,
% 2.74/2.92 (r(s(s(z)), elem!1) <=> r(s(s(z)), s(s(s(s(z)))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2322])).
% 2.74/2.92 tff(2324,plain,
% 2.74/2.92 ((s(s(z)) = elem!1) <=> (elem!1 = s(s(z)))),
% 2.74/2.92 inference(commutativity,[status(thm)],[])).
% 2.74/2.92 tff(2325,plain,
% 2.74/2.92 ((elem!1 = s(s(z))) <=> (s(s(z)) = elem!1)),
% 2.74/2.92 inference(symmetry,[status(thm)],[2324])).
% 2.74/2.92 tff(2326,plain,
% 2.74/2.92 (s(s(s(s(z)))) = elem!1),
% 2.74/2.92 inference(symmetry,[status(thm)],[2322])).
% 2.74/2.92 tff(2327,plain,
% 2.74/2.92 ((s(s(s(s(z)))) = s(s(z))) <=> (elem!1 = s(s(z)))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2326])).
% 2.74/2.92 tff(2328,plain,
% 2.74/2.92 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(z)) = elem!1)),
% 2.74/2.92 inference(transitivity,[status(thm)],[2327, 2325])).
% 2.74/2.92 tff(2329,plain,
% 2.74/2.92 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(z)) = elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2328])).
% 2.74/2.92 tff(2330,plain,
% 2.74/2.92 (~(s(s(z)) = elem!1)),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[51, 2329])).
% 2.74/2.92 tff(2331,plain,
% 2.74/2.92 (b(s(s(z)), elem!1) <=> b(s(s(z)), s(s(s(s(z)))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2322])).
% 2.74/2.92 tff(2332,plain,
% 2.74/2.92 (b(s(s(z)), s(s(s(s(z))))) <=> b(s(s(z)), elem!1)),
% 2.74/2.92 inference(symmetry,[status(thm)],[2331])).
% 2.74/2.92 tff(2333,plain,
% 2.74/2.92 ((~b(s(s(z)), s(s(s(s(z)))))) <=> (~b(s(s(z)), elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2332])).
% 2.74/2.92 tff(2334,plain,
% 2.74/2.92 (r(s(s(s(s(s(z))))), s(z)) <=> r(s(elem!1), s(z))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2316])).
% 2.74/2.92 tff(2335,plain,
% 2.74/2.92 (r(s(elem!1), s(z))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2313, 2334])).
% 2.74/2.92 tff(2336,plain,
% 2.74/2.92 (~b(s(z), s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2281, 2273, 1471, 1466, 2311, 526])).
% 2.74/2.92 tff(2337,plain,
% 2.74/2.92 (r(s(z), s(s(elem!1)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1402, 2336, 1335])).
% 2.74/2.92 tff(2338,plain,
% 2.74/2.92 (s(s(s(s(s(s(z)))))) = s(s(elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2316])).
% 2.74/2.92 tff(2339,plain,
% 2.74/2.92 (s(s(elem!1)) = s(s(s(s(s(s(z))))))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2338])).
% 2.74/2.92 tff(2340,plain,
% 2.74/2.92 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2339])).
% 2.74/2.92 tff(2341,plain,
% 2.74/2.92 (r(s(elem!1), s(s(s(s(s(s(z))))))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2340])).
% 2.74/2.92 tff(2342,plain,
% 2.74/2.92 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))) <=> r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2316])).
% 2.74/2.92 tff(2343,plain,
% 2.74/2.92 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[216, 2342])).
% 2.74/2.92 tff(2344,plain,
% 2.74/2.92 (r(s(elem!1), s(s(elem!1)))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2343, 2341])).
% 2.74/2.92 tff(2345,assumption,(s(s(z)) = s(elem!1)), introduced(assumption)).
% 2.74/2.92 tff(2346,plain,
% 2.74/2.92 (inj_0(s(s(z))) = inj_0(s(elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2345])).
% 2.74/2.92 tff(2347,plain,
% 2.74/2.92 (s(z) = s(s(s(s(z))))),
% 2.74/2.92 inference(transitivity,[status(thm)],[35, 2346, 2318, 25])).
% 2.74/2.92 tff(2348,plain,
% 2.74/2.92 (inj_0(s(z)) = inj_0(s(s(s(s(z)))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2347])).
% 2.74/2.92 tff(2349,plain,
% 2.74/2.92 (inj_0(s(s(s(s(z))))) = inj_0(s(z))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2348])).
% 2.74/2.92 tff(2350,plain,
% 2.74/2.92 (s(s(s(z))) = s(s(elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2345])).
% 2.74/2.92 tff(2351,plain,
% 2.74/2.92 (s(s(elem!1)) = s(s(s(z)))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2350])).
% 2.74/2.92 tff(2352,plain,
% 2.74/2.92 (s(s(elem!1)) = z),
% 2.74/2.92 inference(transitivity,[status(thm)],[2351, 20, 2349, 29])).
% 2.74/2.92 tff(2353,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1867, 2352])).
% 2.74/2.92 tff(2354,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | (~(s(s(z)) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2355,plain,
% 2.74/2.92 (~(s(s(z)) = s(elem!1))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2354, 2316])).
% 2.74/2.92 tff(2356,plain,
% 2.74/2.92 ((s(s(z)) = s(elem!1)) <=> (s(elem!1) = s(s(z)))),
% 2.74/2.92 inference(commutativity,[status(thm)],[])).
% 2.74/2.92 tff(2357,plain,
% 2.74/2.92 ((~(s(s(z)) = s(elem!1))) <=> (~(s(elem!1) = s(s(z))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2356])).
% 2.74/2.92 tff(2358,assumption,(~(s(s(z)) = s(elem!1))), introduced(assumption)).
% 2.74/2.92 tff(2359,plain,
% 2.74/2.92 (~(s(elem!1) = s(s(z)))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 2.74/2.92 tff(2360,assumption,(s(elem!1) = s(s(z))), introduced(assumption)).
% 2.74/2.92 tff(2361,plain,
% 2.74/2.92 ($false),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2360, 2359])).
% 2.74/2.92 tff(2362,plain,((~(s(elem!1) = s(s(z)))) | (s(s(z)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.92 tff(2363,plain,
% 2.74/2.92 (~(s(elem!1) = s(s(z)))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2362, 2355])).
% 2.74/2.92 tff(2364,plain,
% 2.74/2.92 (b(s(s(s(s(s(s(z)))))), s(z)) <=> b(s(s(elem!1)), s(z))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2338])).
% 2.74/2.92 tff(2365,plain,
% 2.74/2.92 (b(s(s(elem!1)), s(z))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[526, 2364])).
% 2.74/2.92 tff(2366,plain,
% 2.74/2.92 (~r(s(z), s(elem!1))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1680, 1671, 204, 2308, 2306])).
% 2.74/2.92 tff(2367,plain,
% 2.74/2.92 (b(s(z), s(elem!1))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[1655, 1705, 2366])).
% 2.74/2.92 tff(2368,plain,
% 2.74/2.92 (b(s(s(elem!1)), s(elem!1)) <=> b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2339])).
% 2.74/2.92 tff(2369,plain,
% 2.74/2.92 (b(s(s(s(s(s(s(z)))))), s(elem!1)) <=> b(s(s(elem!1)), s(elem!1))),
% 2.74/2.92 inference(symmetry,[status(thm)],[2368])).
% 2.74/2.92 tff(2370,plain,
% 2.74/2.92 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) <=> b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2316])).
% 2.74/2.92 tff(2371,plain,
% 2.74/2.92 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[1466, 2370])).
% 2.74/2.92 tff(2372,plain,
% 2.74/2.92 (b(s(s(elem!1)), s(elem!1))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2371, 2369])).
% 2.74/2.92 tff(2373,assumption,(b(s(s(elem!1)), s(z))), introduced(assumption)).
% 2.74/2.92 tff(2374,assumption,(b(s(s(elem!1)), s(elem!1))), introduced(assumption)).
% 2.74/2.92 tff(2375,assumption,(~(s(elem!1) = s(s(z)))), introduced(assumption)).
% 2.74/2.92 tff(2376,plain,
% 2.74/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2377,plain,
% 2.74/2.92 (((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.74/2.92 inference(rewrite,[status(thm)],[])).
% 2.74/2.92 tff(2378,plain,
% 2.74/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z)))))),
% 2.74/2.92 inference(monotonicity,[status(thm)],[2377])).
% 2.74/2.92 tff(2379,plain,
% 2.74/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.74/2.92 inference(transitivity,[status(thm)],[2378, 2376])).
% 2.74/2.92 tff(2380,plain,
% 2.74/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 2.74/2.92 inference(quant_inst,[status(thm)],[])).
% 2.74/2.92 tff(2381,plain,
% 2.74/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z)))),
% 2.74/2.92 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 2.74/2.92 tff(2382,plain,
% 2.74/2.92 (~b(s(s(z)), s(z))),
% 2.74/2.92 inference(unit_resolution,[status(thm)],[2381, 91, 924, 2273, 2374, 1642, 72])).
% 2.74/2.92 tff(2383,plain,
% 2.74/2.92 (r(s(s(z)), s(z))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[855, 64, 852, 2382])).
% 2.74/2.93 tff(2384,assumption,(r(s(elem!1), s(z))), introduced(assumption)).
% 2.74/2.93 tff(2385,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2386,plain,
% 2.74/2.93 (((~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(z)), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(z))))) <=> ((~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2387,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z)))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2386])).
% 2.74/2.93 tff(2388,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))),
% 2.74/2.93 inference(transitivity,[status(thm)],[2387, 2385])).
% 2.74/2.93 tff(2389,plain,
% 2.74/2.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(z)))))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2390,plain,
% 2.74/2.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z)))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2389, 2388])).
% 2.74/2.93 tff(2391,plain,
% 2.74/2.93 (~r(s(elem!1), s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2390, 125, 2201, 1379, 2384, 2383])).
% 2.74/2.93 tff(2392,plain,
% 2.74/2.93 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(z))) | b(s(elem!1), s(s(z))) | r(s(elem!1), s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(z))) | b(s(elem!1), s(s(z))) | r(s(elem!1), s(s(z))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2393,plain,
% 2.74/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(z))) | b(s(elem!1), s(s(z))) | r(s(elem!1), s(s(z))))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2394,plain,
% 2.74/2.93 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(z))) | b(s(elem!1), s(s(z))) | r(s(elem!1), s(s(z)))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 2.74/2.93 tff(2395,plain,
% 2.74/2.93 ((s(elem!1) = s(s(z))) | b(s(elem!1), s(s(z))) | r(s(elem!1), s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2394, 64])).
% 2.74/2.93 tff(2396,plain,
% 2.74/2.93 (b(s(elem!1), s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2395, 2391, 2375])).
% 2.74/2.93 tff(2397,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2398,plain,
% 2.74/2.93 (((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(s(z)))) | (~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(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2399,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2398])).
% 2.74/2.93 tff(2400,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1))))),
% 2.74/2.93 inference(transitivity,[status(thm)],[2399, 2397])).
% 2.74/2.93 tff(2401,plain,
% 2.74/2.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2402,plain,
% 2.74/2.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(elem!1)))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 2.74/2.93 tff(2403,plain,
% 2.74/2.93 ($false),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2402, 91, 2396, 924, 2374, 1642, 72, 2373])).
% 2.74/2.93 tff(2404,plain,((~b(s(s(z)), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), z)) | (~b(s(s(elem!1)), s(z))) | (s(elem!1) = s(s(z))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~b(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.93 tff(2405,plain,
% 2.74/2.93 (~b(s(s(z)), z)),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2404, 2372, 2367, 72, 2365, 2363, 2344, 2337, 2335, 2273])).
% 2.74/2.93 tff(2406,plain,
% 2.74/2.93 (r(s(s(z)), z)),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[898, 2405])).
% 2.74/2.93 tff(2407,plain,
% 2.74/2.93 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(elem!1 = s(s(z))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2327])).
% 2.74/2.93 tff(2408,plain,
% 2.74/2.93 (~(elem!1 = s(s(z)))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[51, 2407])).
% 2.74/2.93 tff(2409,plain,
% 2.74/2.93 (s(s(s(s(z)))) = elem!1),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[1435, 2322])).
% 2.74/2.93 tff(2410,plain,
% 2.74/2.93 (r(z, s(s(s(s(s(z)))))) <=> r(z, s(elem!1))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2316])).
% 2.74/2.93 tff(2411,plain,
% 2.74/2.93 (r(z, s(elem!1))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[75, 2410])).
% 2.74/2.93 tff(2412,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2413,plain,
% 2.74/2.93 (((~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2414,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2413])).
% 2.74/2.93 tff(2415,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 2.74/2.93 inference(transitivity,[status(thm)],[2414, 2412])).
% 2.74/2.93 tff(2416,plain,
% 2.74/2.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2417,plain,
% 2.74/2.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 2.74/2.93 tff(2418,plain,
% 2.74/2.93 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2417, 125, 2411, 1671, 1020, 2406])).
% 2.74/2.93 tff(2419,plain,
% 2.74/2.93 (r(s(s(s(s(z)))), s(s(z))) <=> r(elem!1, s(s(z)))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[1423])).
% 2.74/2.93 tff(2420,plain,
% 2.74/2.93 (r(elem!1, s(s(z))) <=> r(s(s(s(s(z)))), s(s(z)))),
% 2.74/2.93 inference(symmetry,[status(thm)],[2419])).
% 2.74/2.93 tff(2421,assumption,(r(elem!1, s(s(z)))), introduced(assumption)).
% 2.74/2.93 tff(2422,plain,
% 2.74/2.93 (r(s(s(s(s(z)))), s(s(z)))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2421, 2420])).
% 2.74/2.93 tff(2423,assumption,(~r(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 2.74/2.93 tff(2424,plain,
% 2.74/2.93 ($false),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2423, 2422])).
% 2.74/2.93 tff(2425,plain,((~r(elem!1, s(s(z)))) | r(s(s(s(s(z)))), s(s(z))) | (~(s(s(s(s(z)))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.93 tff(2426,plain,
% 2.74/2.93 (~r(elem!1, s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2425, 2418, 2409])).
% 2.74/2.93 tff(2427,plain,
% 2.74/2.93 (((~![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))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2428,plain,
% 2.74/2.93 ((~![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))))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2429,plain,
% 2.74/2.93 ((~![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)))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 2.74/2.93 tff(2430,plain,
% 2.74/2.93 ((elem!1 = s(s(z))) | b(elem!1, s(s(z))) | r(elem!1, s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2429, 64])).
% 2.74/2.93 tff(2431,plain,
% 2.74/2.93 (b(elem!1, s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2430, 2426, 2408])).
% 2.74/2.93 tff(2432,plain,
% 2.74/2.93 (b(s(elem!1), elem!1) <=> b(s(elem!1), s(s(s(s(z)))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2322])).
% 2.74/2.93 tff(2433,plain,
% 2.74/2.93 (b(s(elem!1), s(s(s(s(z))))) <=> b(s(elem!1), elem!1)),
% 2.74/2.93 inference(symmetry,[status(thm)],[2432])).
% 2.74/2.93 tff(2434,plain,
% 2.74/2.93 (b(s(s(s(s(s(z))))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2316])).
% 2.74/2.93 tff(2435,plain,
% 2.74/2.93 (b(s(elem!1), s(s(s(s(z)))))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2315, 2434])).
% 2.74/2.93 tff(2436,plain,
% 2.74/2.93 (b(s(elem!1), elem!1)),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2435, 2433])).
% 2.74/2.93 tff(2437,assumption,(b(elem!1, s(s(z)))), introduced(assumption)).
% 2.74/2.93 tff(2438,plain,
% 2.74/2.93 (s(s(s(s(z)))) = elem!1),
% 2.74/2.93 inference(symmetry,[status(thm)],[1431])).
% 2.74/2.93 tff(2439,plain,
% 2.74/2.93 ((s(s(s(s(z)))) = s(s(z))) <=> (elem!1 = s(s(z)))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2438])).
% 2.74/2.93 tff(2440,plain,
% 2.74/2.93 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(z)) = elem!1)),
% 2.74/2.93 inference(transitivity,[status(thm)],[2439, 2325])).
% 2.74/2.93 tff(2441,plain,
% 2.74/2.93 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(z)) = elem!1))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2440])).
% 2.74/2.93 tff(2442,plain,
% 2.74/2.93 (~(s(s(z)) = elem!1)),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[51, 2441])).
% 2.74/2.93 tff(2443,plain,
% 2.74/2.93 (r(s(s(z)), elem!1) <=> r(s(s(z)), s(s(s(s(z)))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[1431])).
% 2.74/2.93 tff(2444,plain,
% 2.74/2.93 (r(s(s(z)), s(s(s(s(z))))) <=> r(s(s(z)), elem!1)),
% 2.74/2.93 inference(symmetry,[status(thm)],[2443])).
% 2.74/2.93 tff(2445,plain,
% 2.74/2.93 ((~r(s(s(z)), s(s(s(s(z)))))) <=> (~r(s(s(z)), elem!1))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2444])).
% 2.74/2.93 tff(2446,assumption,(r(s(s(z)), s(z))), introduced(assumption)).
% 2.74/2.93 tff(2447,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2448,plain,
% 2.74/2.93 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~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)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2449,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2448])).
% 2.74/2.93 tff(2450,plain,
% 2.74/2.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.74/2.93 inference(transitivity,[status(thm)],[2449, 2447])).
% 2.74/2.93 tff(2451,plain,
% 2.74/2.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2452,plain,
% 2.74/2.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 2.74/2.93 tff(2453,plain,
% 2.74/2.93 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2452, 125, 135, 1020, 836])).
% 2.74/2.93 tff(2454,plain,
% 2.74/2.93 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2453, 2446])).
% 2.74/2.93 tff(2455,plain,
% 2.74/2.93 (~r(s(s(z)), elem!1)),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2454, 2445])).
% 2.74/2.93 tff(2456,plain,
% 2.74/2.93 (((~![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))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2457,plain,
% 2.74/2.93 ((~![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))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2458,plain,
% 2.74/2.93 ((~![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)),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 2.74/2.93 tff(2459,plain,
% 2.74/2.93 ((s(s(z)) = elem!1) | b(s(s(z)), elem!1) | r(s(s(z)), elem!1)),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2458, 64])).
% 2.74/2.93 tff(2460,plain,
% 2.74/2.93 (b(s(s(z)), elem!1)),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2459, 2455, 2442])).
% 2.74/2.93 tff(2461,plain,
% 2.74/2.93 (~r(s(elem!1), s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2390, 125, 2201, 1379, 2384, 2446])).
% 2.74/2.93 tff(2462,plain,
% 2.74/2.93 (b(s(elem!1), s(s(z)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2395, 2461, 2375])).
% 2.74/2.93 tff(2463,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2464,plain,
% 2.74/2.93 (((~b(s(s(z)), elem!1)) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(z)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z))))) <=> ((~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2465,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), elem!1)) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(z)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z))))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2464])).
% 2.74/2.93 tff(2466,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), elem!1)) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(z)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))))),
% 2.74/2.93 inference(transitivity,[status(thm)],[2465, 2463])).
% 2.74/2.93 tff(2467,plain,
% 2.74/2.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), elem!1)) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(s(z)), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))))),
% 2.74/2.93 inference(quant_inst,[status(thm)],[])).
% 2.74/2.93 tff(2468,plain,
% 2.74/2.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z))))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2467, 2466])).
% 2.74/2.93 tff(2469,plain,
% 2.74/2.93 ((~b(s(s(z)), elem!1)) | (~b(elem!1, s(s(z)))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z))))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2468, 91])).
% 2.74/2.93 tff(2470,plain,
% 2.74/2.93 ($false),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2469, 2462, 2460, 1809, 2437])).
% 2.74/2.93 tff(2471,plain,((~r(s(s(z)), s(z))) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(z)))) | (s(elem!1) = s(s(z))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))) | (~(elem!1 = s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.93 tff(2472,plain,
% 2.74/2.93 (~r(s(s(z)), s(z))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2471, 2436, 2431, 2363, 2344, 2337, 2335, 2322, 2308, 1020, 2406])).
% 2.74/2.93 tff(2473,plain,
% 2.74/2.93 (b(s(s(z)), s(z))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[857, 2472])).
% 2.74/2.93 tff(2474,plain,
% 2.74/2.93 (b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[1390])).
% 2.74/2.93 tff(2475,plain,
% 2.74/2.93 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.74/2.93 inference(symmetry,[status(thm)],[2474])).
% 2.74/2.93 tff(2476,plain,
% 2.74/2.93 ((~b(s(s(s(s(z)))), s(s(elem!1)))) <=> (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.74/2.93 inference(monotonicity,[status(thm)],[2475])).
% 2.74/2.93 tff(2477,assumption,(~b(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 2.74/2.93 tff(2478,plain,
% 2.74/2.93 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.74/2.93 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 2.74/2.93 tff(2479,plain,
% 2.74/2.93 ($false),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[318, 2478])).
% 2.74/2.93 tff(2480,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.93 tff(2481,plain,
% 2.74/2.93 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.93 inference(unit_resolution,[status(thm)],[2480, 2316, 1462])).
% 2.74/2.93 tff(2482,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2483,plain,
% 2.74/2.93 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(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(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.74/2.93 inference(rewrite,[status(thm)],[])).
% 2.74/2.93 tff(2484,plain,
% 2.74/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2483])).
% 2.74/2.94 tff(2485,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.74/2.94 inference(transitivity,[status(thm)],[2484, 2482])).
% 2.74/2.94 tff(2486,plain,
% 2.74/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))))),
% 2.74/2.94 inference(quant_inst,[status(thm)],[])).
% 2.74/2.94 tff(2487,plain,
% 2.74/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2486, 2485])).
% 2.74/2.94 tff(2488,plain,
% 2.74/2.94 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2487, 91, 2481, 2273, 177, 72, 2473])).
% 2.74/2.94 tff(2489,plain,
% 2.74/2.94 (~b(s(s(z)), elem!1)),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2488, 2333])).
% 2.74/2.94 tff(2490,plain,
% 2.74/2.94 (r(s(s(z)), elem!1)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2459, 2489, 2330])).
% 2.74/2.94 tff(2491,plain,
% 2.74/2.94 (r(s(s(z)), s(s(s(s(z)))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2490, 2323])).
% 2.74/2.94 tff(2492,plain,
% 2.74/2.94 ((s(s(elem!1)) = s(s(z))) <=> (s(s(s(s(s(s(z)))))) = s(s(z)))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2339])).
% 2.74/2.94 tff(2493,plain,
% 2.74/2.94 ((s(s(s(s(s(s(z)))))) = s(s(z))) <=> (s(s(elem!1)) = s(s(z)))),
% 2.74/2.94 inference(symmetry,[status(thm)],[2492])).
% 2.74/2.94 tff(2494,plain,
% 2.74/2.94 ((~(s(s(s(s(s(s(z)))))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(z))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2493])).
% 2.74/2.94 tff(2495,plain,
% 2.74/2.94 (~(s(s(elem!1)) = s(s(z)))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[869, 2494])).
% 2.74/2.94 tff(2496,plain,
% 2.74/2.94 (b(s(s(s(s(z)))), s(s(z)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[938, 2418])).
% 2.74/2.94 tff(2497,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(s(z)))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2498,plain,
% 2.74/2.94 (((~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(z)), 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(s(s(z)))), s(s(z)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(s(z)))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2499,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), 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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(s(z))))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2498])).
% 2.74/2.94 tff(2500,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), 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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(s(z)))))),
% 2.74/2.94 inference(transitivity,[status(thm)],[2499, 2497])).
% 2.74/2.94 tff(2501,plain,
% 2.74/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), 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)))))),
% 2.74/2.94 inference(quant_inst,[status(thm)],[])).
% 2.74/2.94 tff(2502,plain,
% 2.74/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))) | (~b(s(s(elem!1)), s(s(z))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2501, 2500])).
% 2.74/2.94 tff(2503,plain,
% 2.74/2.94 (~b(s(s(elem!1)), s(s(z)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2502, 91, 2481, 2372, 2496, 2367, 2473])).
% 2.74/2.94 tff(2504,plain,
% 2.74/2.94 (((~![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))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2505,plain,
% 2.74/2.94 ((~![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))))),
% 2.74/2.94 inference(quant_inst,[status(thm)],[])).
% 2.74/2.94 tff(2506,plain,
% 2.74/2.94 ((~![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)))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 2.74/2.94 tff(2507,plain,
% 2.74/2.94 ((s(s(elem!1)) = s(s(z))) | b(s(s(elem!1)), s(s(z))) | r(s(s(elem!1)), s(s(z)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2506, 64])).
% 2.74/2.94 tff(2508,plain,
% 2.74/2.94 (r(s(s(elem!1)), s(s(z)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2507, 2503, 2495])).
% 2.74/2.94 tff(2509,plain,
% 2.74/2.94 (r(s(s(s(s(s(s(z)))))), z) <=> r(s(s(elem!1)), z)),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2338])).
% 2.74/2.94 tff(2510,plain,
% 2.74/2.94 (r(s(s(elem!1)), z)),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[765, 2509])).
% 2.74/2.94 tff(2511,plain,
% 2.74/2.94 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2338])).
% 2.74/2.94 tff(2512,plain,
% 2.74/2.94 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[204, 2511])).
% 2.74/2.94 tff(2513,plain,
% 2.74/2.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~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)), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~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)), s(s(z)))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2514,plain,
% 2.74/2.94 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~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(z)), s(s(s(s(z)))))) | (~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)), s(s(z)))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2515,plain,
% 2.74/2.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~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)), s(s(z))))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2514])).
% 2.74/2.94 tff(2516,plain,
% 2.74/2.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~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)), s(s(z)))))),
% 2.74/2.94 inference(transitivity,[status(thm)],[2515, 2513])).
% 2.74/2.94 tff(2517,plain,
% 2.74/2.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z)))))),
% 2.74/2.94 inference(quant_inst,[status(thm)],[])).
% 2.74/2.94 tff(2518,plain,
% 2.74/2.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(z))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 2.74/2.94 tff(2519,plain,
% 2.74/2.94 ($false),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2518, 125, 2512, 2510, 2508, 1020, 2491])).
% 2.74/2.94 tff(2520,plain,(b(s(s(s(s(z)))), s(elem!1)) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.94 tff(2521,plain,
% 2.74/2.94 (b(s(s(s(s(z)))), s(elem!1))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2520, 2272, 1205, 177, 72, 526, 204, 765, 216, 1203, 115, 2304, 317, 2302])).
% 2.74/2.94 tff(2522,plain,
% 2.74/2.94 (~b(s(z), s(elem!1))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1753, 2521, 1314, 526, 1344, 2296])).
% 2.74/2.94 tff(2523,plain,
% 2.74/2.94 ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1734, 91, 2304, 1295, 1314, 1265])).
% 2.74/2.94 tff(2524,plain,
% 2.74/2.94 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2523, 2521])).
% 2.74/2.94 tff(2525,plain,
% 2.74/2.94 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1542, 2524, 1285])).
% 2.74/2.94 tff(2526,plain,
% 2.74/2.94 (~r(s(z), s(elem!1))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1744, 125, 2525, 204, 1267, 1324])).
% 2.74/2.94 tff(2527,plain,
% 2.74/2.94 (s(z) = s(elem!1)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1655, 2526, 2522])).
% 2.74/2.94 tff(2528,plain,
% 2.74/2.94 (s(elem!1) = s(z)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1512, 2527])).
% 2.74/2.94 tff(2529,plain,
% 2.74/2.94 (elem!1 = z),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1703, 2528])).
% 2.74/2.94 tff(2530,plain,
% 2.74/2.94 (z = elem!1),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1697, 2529])).
% 2.74/2.94 tff(2531,plain,
% 2.74/2.94 (b(s(s(s(s(z)))), z) <=> b(s(s(s(s(z)))), elem!1)),
% 2.74/2.94 inference(monotonicity,[status(thm)],[1682])).
% 2.74/2.94 tff(2532,plain,
% 2.74/2.94 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), z)),
% 2.74/2.94 inference(symmetry,[status(thm)],[2531])).
% 2.74/2.94 tff(2533,assumption,(~r(s(s(s(s(z)))), elem!1)), introduced(assumption)).
% 2.74/2.94 tff(2534,plain,
% 2.74/2.94 (elem!1 = z),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[1682, 1691])).
% 2.74/2.94 tff(2535,plain,
% 2.74/2.94 ($false),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1701, 2534])).
% 2.74/2.94 tff(2536,plain,((~(z = elem!1)) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 2.74/2.94 tff(2537,plain,
% 2.74/2.94 (elem!1 = z),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2536, 1682])).
% 2.74/2.94 tff(2538,plain,
% 2.74/2.94 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1777, 2537])).
% 2.74/2.94 tff(2539,plain,
% 2.74/2.94 (~(s(s(s(s(z)))) = elem!1)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1427, 2538])).
% 2.74/2.94 tff(2540,plain,
% 2.74/2.94 (((~![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))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2541,plain,
% 2.74/2.94 ((~![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))),
% 2.74/2.94 inference(quant_inst,[status(thm)],[])).
% 2.74/2.94 tff(2542,plain,
% 2.74/2.94 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = elem!1) | b(s(s(s(s(z)))), elem!1) | r(s(s(s(s(z)))), elem!1)),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 2.74/2.94 tff(2543,plain,
% 2.74/2.94 ((s(s(s(s(z)))) = elem!1) | b(s(s(s(s(z)))), elem!1) | r(s(s(s(s(z)))), elem!1)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2542, 64])).
% 2.74/2.94 tff(2544,plain,
% 2.74/2.94 (b(s(s(s(s(z)))), elem!1)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2543, 2539, 2533])).
% 2.74/2.94 tff(2545,plain,
% 2.74/2.94 (b(s(s(s(s(z)))), z)),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2544, 2532])).
% 2.74/2.94 tff(2546,plain,
% 2.74/2.94 ($false),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[309, 2545])).
% 2.74/2.94 tff(2547,plain,((~(z = elem!1)) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.74/2.94 tff(2548,plain,
% 2.74/2.94 (r(s(s(s(s(z)))), elem!1)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2547, 2530, 309])).
% 2.74/2.94 tff(2549,plain,
% 2.74/2.94 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[1975])).
% 2.74/2.94 tff(2550,plain,
% 2.74/2.94 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), elem!1)),
% 2.74/2.94 inference(symmetry,[status(thm)],[2549])).
% 2.74/2.94 tff(2551,plain,
% 2.74/2.94 ((~r(s(s(s(s(z)))), s(s(elem!1)))) <=> (~r(s(s(s(s(z)))), elem!1))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2550])).
% 2.74/2.94 tff(2552,assumption,(~r(s(s(s(s(z)))), s(s(elem!1)))), introduced(assumption)).
% 2.74/2.94 tff(2553,plain,
% 2.74/2.94 (~r(s(s(s(s(z)))), elem!1)),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2552, 2551])).
% 2.74/2.94 tff(2554,assumption,(r(s(s(s(s(z)))), elem!1)), introduced(assumption)).
% 2.74/2.94 tff(2555,plain,
% 2.74/2.94 ($false),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2554, 2553])).
% 2.74/2.94 tff(2556,plain,((~(elem!1 = s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | r(s(s(s(s(z)))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.94 tff(2557,plain,
% 2.74/2.94 (~(elem!1 = s(s(elem!1)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2556, 2548, 2292])).
% 2.74/2.94 tff(2558,plain,
% 2.74/2.94 (~(s(elem!1) = s(s(elem!1)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1914, 2557])).
% 2.74/2.94 tff(2559,plain,
% 2.74/2.94 (~(s(s(elem!1)) = s(elem!1))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1907, 2558])).
% 2.74/2.94 tff(2560,plain,
% 2.74/2.94 (b(s(z), s(s(s(s(s(z)))))) <=> b(s(elem!1), s(s(s(s(s(z))))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2527])).
% 2.74/2.94 tff(2561,plain,
% 2.74/2.94 (b(s(elem!1), s(s(s(s(s(z))))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[1344, 2560])).
% 2.74/2.94 tff(2562,plain,
% 2.74/2.94 (s(s(z)) = s(s(elem!1))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2527])).
% 2.74/2.94 tff(2563,plain,
% 2.74/2.94 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2562])).
% 2.74/2.94 tff(2564,plain,
% 2.74/2.94 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(s(s(z)))) = s(s(elem!1))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2563])).
% 2.74/2.94 tff(2565,plain,
% 2.74/2.94 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[51, 2564])).
% 2.74/2.94 tff(2566,plain,
% 2.74/2.94 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[1851, 2565, 2292])).
% 2.74/2.94 tff(2567,plain,
% 2.74/2.94 ((s(s(elem!1)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 2.74/2.94 inference(commutativity,[status(thm)],[])).
% 2.74/2.94 tff(2568,plain,
% 2.74/2.94 ((s(s(s(s(z)))) = s(s(elem!1))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 2.74/2.94 inference(symmetry,[status(thm)],[2567])).
% 2.74/2.94 tff(2569,plain,
% 2.74/2.94 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 2.74/2.94 inference(transitivity,[status(thm)],[2563, 2568])).
% 2.74/2.94 tff(2570,plain,
% 2.74/2.94 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(s(s(z))))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2569])).
% 2.74/2.94 tff(2571,plain,
% 2.74/2.94 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[51, 2570])).
% 2.74/2.94 tff(2572,plain,
% 2.74/2.94 (s(s(elem!1)) = s(s(z))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[1772])).
% 2.74/2.94 tff(2573,plain,
% 2.74/2.94 (s(s(s(s(s(s(z)))))) = s(s(z))),
% 2.74/2.94 inference(transitivity,[status(thm)],[1437, 2572])).
% 2.74/2.94 tff(2574,plain,
% 2.74/2.94 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(z)))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2573])).
% 2.74/2.94 tff(2575,plain,
% 2.74/2.94 (s(s(s(s(s(z))))) = s(z)),
% 2.74/2.94 inference(transitivity,[status(thm)],[233, 2574, 34])).
% 2.74/2.94 tff(2576,plain,
% 2.74/2.94 ((s(s(s(s(s(z))))) = s(elem!1)) <=> (s(s(s(s(s(z))))) = s(z))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[1772])).
% 2.74/2.94 tff(2577,plain,
% 2.74/2.94 ((~(s(s(s(s(s(z))))) = s(elem!1))) <=> (~(s(s(s(s(s(z))))) = s(z)))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2576])).
% 2.74/2.94 tff(2578,plain,
% 2.74/2.94 (~(s(s(s(s(s(z))))) = s(z))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[1778, 2577])).
% 2.74/2.94 tff(2579,plain,
% 2.74/2.94 ($false),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2578, 2575])).
% 2.74/2.94 tff(2580,plain,((~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.94 tff(2581,plain,
% 2.74/2.94 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2580, 2529])).
% 2.74/2.94 tff(2582,plain,
% 2.74/2.94 (r(s(s(s(s(s(s(z)))))), elem!1) <=> r(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.94 inference(monotonicity,[status(thm)],[1693])).
% 2.74/2.94 tff(2583,plain,
% 2.74/2.94 (r(s(s(s(s(s(s(z)))))), z) <=> r(s(s(s(s(s(s(z)))))), elem!1)),
% 2.74/2.94 inference(symmetry,[status(thm)],[2582])).
% 2.74/2.94 tff(2584,plain,
% 2.74/2.94 (r(s(s(s(s(s(s(z)))))), elem!1)),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[765, 2583])).
% 2.74/2.94 tff(2585,assumption,(~r(s(s(s(s(s(s(z)))))), elem!1)), introduced(assumption)).
% 2.74/2.94 tff(2586,plain,
% 2.74/2.94 ($false),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2585, 2584])).
% 2.74/2.94 tff(2587,plain,((~r(s(s(s(s(s(s(z)))))), z)) | r(s(s(s(s(s(s(z)))))), elem!1) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.94 tff(2588,plain,
% 2.74/2.94 (r(s(s(s(s(s(s(z)))))), elem!1)),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2587, 2529, 765])).
% 2.74/2.94 tff(2589,assumption,(r(s(s(s(s(s(s(z)))))), elem!1)), introduced(assumption)).
% 2.74/2.94 tff(2590,assumption,(~(s(s(elem!1)) = s(s(s(s(z)))))), introduced(assumption)).
% 2.74/2.94 tff(2591,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2592,plain,
% 2.74/2.94 (((~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z))))))) <=> ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2593,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 2.74/2.94 inference(monotonicity,[status(thm)],[2592])).
% 2.74/2.94 tff(2594,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.74/2.94 inference(transitivity,[status(thm)],[2593, 2591])).
% 2.74/2.94 tff(2595,plain,
% 2.74/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.74/2.94 inference(quant_inst,[status(thm)],[])).
% 2.74/2.94 tff(2596,plain,
% 2.74/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 2.74/2.94 tff(2597,plain,
% 2.74/2.94 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2596, 91, 1707, 1837, 2273, 2374, 1506])).
% 2.74/2.94 tff(2598,plain,
% 2.74/2.94 (((~![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))))))),
% 2.74/2.94 inference(rewrite,[status(thm)],[])).
% 2.74/2.94 tff(2599,plain,
% 2.74/2.94 ((~![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))))))),
% 2.74/2.94 inference(quant_inst,[status(thm)],[])).
% 2.74/2.94 tff(2600,plain,
% 2.74/2.94 ((~![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)))))),
% 2.74/2.94 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 2.74/2.94 tff(2601,plain,
% 2.74/2.94 ((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)))))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2600, 64])).
% 2.74/2.94 tff(2602,plain,
% 2.74/2.94 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.74/2.94 inference(unit_resolution,[status(thm)],[2601, 2597, 2590])).
% 2.74/2.94 tff(2603,assumption,(~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))), introduced(assumption)).
% 2.74/2.94 tff(2604,assumption,(b(s(elem!1), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.74/2.94 tff(2605,plain,
% 2.74/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2606,plain,
% 2.74/2.95 (((~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(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(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2607,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 2.74/2.95 inference(monotonicity,[status(thm)],[2606])).
% 2.74/2.95 tff(2608,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 2.74/2.95 inference(transitivity,[status(thm)],[2607, 2605])).
% 2.74/2.95 tff(2609,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(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(s(s(s(z)))))))))),
% 2.74/2.95 inference(quant_inst,[status(thm)],[])).
% 2.74/2.95 tff(2610,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 2.74/2.95 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 2.74/2.95 tff(2611,plain,
% 2.74/2.95 (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[2610, 91, 1837, 2374, 348, 318, 2604])).
% 2.74/2.95 tff(2612,plain,
% 2.74/2.95 (r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[1453, 2611, 2603])).
% 2.74/2.95 tff(2613,assumption,(r(s(s(elem!1)), s(s(s(s(z)))))), introduced(assumption)).
% 2.74/2.95 tff(2614,plain,
% 2.74/2.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2615,plain,
% 2.74/2.95 (((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1))))) <=> ((~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2616,plain,
% 2.74/2.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 2.74/2.95 inference(monotonicity,[status(thm)],[2615])).
% 2.74/2.95 tff(2617,plain,
% 2.74/2.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.74/2.95 inference(transitivity,[status(thm)],[2616, 2614])).
% 2.74/2.95 tff(2618,plain,
% 2.74/2.95 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))),
% 2.74/2.95 inference(quant_inst,[status(thm)],[])).
% 2.74/2.95 tff(2619,plain,
% 2.74/2.95 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 2.74/2.95 inference(modus_ponens,[status(thm)],[2618, 2617])).
% 2.74/2.95 tff(2620,plain,
% 2.74/2.95 ($false),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[2619, 125, 2589, 2613, 1404, 2554, 204])).
% 2.74/2.95 tff(2621,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.95 tff(2622,plain,
% 2.74/2.95 ($false),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[2621, 2612, 2602, 204, 2589, 2554])).
% 2.74/2.95 tff(2623,plain,((~b(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (s(s(s(s(s(s(z)))))) = s(s(elem!1))) | (s(s(elem!1)) = s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.95 tff(2624,plain,
% 2.74/2.95 (~b(s(s(elem!1)), s(elem!1))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[2623, 2588, 204, 2548, 2581, 2571, 2566, 1314, 1265, 2561, 2304, 2272, 2521])).
% 2.74/2.95 tff(2625,plain,
% 2.74/2.95 (r(s(s(elem!1)), s(elem!1))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[1932, 2624, 2559])).
% 2.74/2.95 tff(2626,plain,
% 2.74/2.95 (r(s(s(s(s(s(z))))), s(z)) <=> r(s(s(s(s(s(z))))), s(elem!1))),
% 2.74/2.95 inference(monotonicity,[status(thm)],[2527])).
% 2.74/2.95 tff(2627,plain,
% 2.74/2.95 (r(s(s(s(s(s(z))))), s(elem!1))),
% 2.74/2.95 inference(modus_ponens,[status(thm)],[2294, 2626])).
% 2.74/2.95 tff(2628,plain,
% 2.74/2.95 (~r(s(s(s(s(s(z))))), s(s(elem!1)))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[1939, 125, 2525, 2627, 2625, 216])).
% 2.74/2.95 tff(2629,plain,
% 2.74/2.95 (~(s(s(s(s(s(z))))) = s(s(elem!1)))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[1763, 2301])).
% 2.74/2.95 tff(2630,plain,
% 2.74/2.95 (b(s(s(s(s(s(z))))), s(s(elem!1)))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[1884, 64, 2629, 2628])).
% 2.74/2.95 tff(2631,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(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))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(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))))), s(s(elem!1)))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2632,plain,
% 2.74/2.95 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(s(z)))))))) <=> ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(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))))), s(s(elem!1)))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2633,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(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))))), s(s(elem!1))))))),
% 2.74/2.95 inference(monotonicity,[status(thm)],[2632])).
% 2.74/2.95 tff(2634,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(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))))), s(s(elem!1)))))),
% 2.74/2.95 inference(transitivity,[status(thm)],[2633, 2631])).
% 2.74/2.95 tff(2635,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))))),
% 2.74/2.95 inference(quant_inst,[status(thm)],[])).
% 2.74/2.95 tff(2636,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))),
% 2.74/2.95 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 2.74/2.95 tff(2637,plain,
% 2.74/2.95 ($false),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[2636, 91, 2304, 2566, 1295, 317, 2561, 2630])).
% 2.74/2.95 tff(2638,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | b(s(s(s(s(z)))), z) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | b(z, s(z)) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.95 tff(2639,plain,
% 2.74/2.95 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[2638, 72, 204, 309, 1285, 526, 177, 216, 115, 262, 101, 169])).
% 2.74/2.95 tff(2640,plain,
% 2.74/2.95 (b(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[763, 2639])).
% 2.74/2.95 tff(2641,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2642,plain,
% 2.74/2.95 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2643,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 2.74/2.95 inference(monotonicity,[status(thm)],[2642])).
% 2.74/2.95 tff(2644,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.74/2.95 inference(transitivity,[status(thm)],[2643, 2641])).
% 2.74/2.95 tff(2645,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.74/2.95 inference(quant_inst,[status(thm)],[])).
% 2.74/2.95 tff(2646,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 2.74/2.95 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 2.74/2.95 tff(2647,plain,
% 2.74/2.95 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[2646, 91, 1265, 177, 72, 526])).
% 2.74/2.95 tff(2648,plain,
% 2.74/2.95 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[295, 2647])).
% 2.74/2.95 tff(2649,plain,
% 2.74/2.95 (~r(s(z), s(s(s(s(s(z))))))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[1342, 2648])).
% 2.74/2.95 tff(2650,plain,
% 2.74/2.95 (b(s(z), s(s(s(s(s(z))))))),
% 2.74/2.95 inference(unit_resolution,[status(thm)],[163, 2649])).
% 2.74/2.95 tff(2651,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), 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(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2652,plain,
% 2.74/2.95 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/2.95 inference(rewrite,[status(thm)],[])).
% 2.74/2.95 tff(2653,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.74/2.95 inference(monotonicity,[status(thm)],[2652])).
% 2.74/2.95 tff(2654,plain,
% 2.74/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/2.95 inference(transitivity,[status(thm)],[2653, 2651])).
% 2.74/2.95 tff(2655,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.95 inference(quant_inst,[status(thm)],[])).
% 2.74/2.95 tff(2656,plain,
% 2.74/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 2.74/2.96 tff(2657,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2656, 91, 1295, 2650, 1265, 177, 2640, 526])).
% 2.74/2.96 tff(2658,plain,((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), z) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | b(z, s(z)) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2659,plain,
% 2.74/2.96 (~b(s(z), z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2658, 526, 177, 204, 216, 309, 1285, 115, 262, 101, 169])).
% 2.74/2.96 tff(2660,plain,
% 2.74/2.96 (r(s(z), z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[408, 2659])).
% 2.74/2.96 tff(2661,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2662,plain,
% 2.74/2.96 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2663,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2662])).
% 2.74/2.96 tff(2664,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[2663, 2661])).
% 2.74/2.96 tff(2665,plain,
% 2.74/2.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.96 inference(quant_inst,[status(thm)],[])).
% 2.74/2.96 tff(2666,plain,
% 2.74/2.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2665, 2664])).
% 2.74/2.96 tff(2667,plain,
% 2.74/2.96 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2666, 125, 204, 1267, 2660, 1205])).
% 2.74/2.96 tff(2668,plain,
% 2.74/2.96 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[295, 2667])).
% 2.74/2.96 tff(2669,plain,
% 2.74/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2670,plain,
% 2.74/2.96 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2671,plain,
% 2.74/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2670])).
% 2.74/2.96 tff(2672,plain,
% 2.74/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[2671, 2669])).
% 2.74/2.96 tff(2673,plain,
% 2.74/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.96 inference(quant_inst,[status(thm)],[])).
% 2.74/2.96 tff(2674,plain,
% 2.74/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2673, 2672])).
% 2.74/2.96 tff(2675,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2674, 91, 1265, 177, 526, 2668])).
% 2.74/2.96 tff(2676,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), z) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | b(z, s(z)) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2677,plain,
% 2.74/2.96 (s(elem!1) = s(s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2676, 1284, 204, 216, 309, 177, 115, 262, 101, 169])).
% 2.74/2.96 tff(2678,plain,
% 2.74/2.96 (s(s(elem!1)) = s(s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2677])).
% 2.74/2.96 tff(2679,plain,
% 2.74/2.96 (s(s(s(s(s(s(s(z))))))) = s(s(elem!1))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2678])).
% 2.74/2.96 tff(2680,plain,
% 2.74/2.96 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2679])).
% 2.74/2.96 tff(2681,plain,
% 2.74/2.96 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2680])).
% 2.74/2.96 tff(2682,plain,
% 2.74/2.96 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(s(z)))))))) = s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(quant_inst,[status(thm)],[])).
% 2.74/2.96 tff(2683,plain,
% 2.74/2.96 (inj_0(s(s(s(s(s(s(s(z)))))))) = s(s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2682, 11])).
% 2.74/2.96 tff(2684,assumption,(s(elem!1) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.74/2.96 tff(2685,plain,
% 2.74/2.96 (s(s(elem!1)) = s(s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2684])).
% 2.74/2.96 tff(2686,plain,
% 2.74/2.96 (s(s(s(s(z)))) = s(s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[1414, 2685])).
% 2.74/2.96 tff(2687,plain,
% 2.74/2.96 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2686])).
% 2.74/2.96 tff(2688,plain,
% 2.74/2.96 (s(s(s(z))) = s(s(s(s(s(s(z))))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[20, 2687, 2683])).
% 2.74/2.96 tff(2689,plain,
% 2.74/2.96 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2688])).
% 2.74/2.96 tff(2690,plain,
% 2.74/2.96 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(s(z))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2689])).
% 2.74/2.96 tff(2691,plain,
% 2.74/2.96 (s(s(s(s(s(z))))) = s(s(z))),
% 2.74/2.96 inference(transitivity,[status(thm)],[233, 2690, 13])).
% 2.74/2.96 tff(2692,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[785, 2691])).
% 2.74/2.96 tff(2693,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~(s(elem!1) = s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2694,plain,
% 2.74/2.96 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2693, 2677])).
% 2.74/2.96 tff(2695,plain,
% 2.74/2.96 (r(s(z), s(elem!1)) <=> r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2684])).
% 2.74/2.96 tff(2696,plain,
% 2.74/2.96 (s(s(s(s(s(s(z)))))) = s(elem!1)),
% 2.74/2.96 inference(symmetry,[status(thm)],[2684])).
% 2.74/2.96 tff(2697,plain,
% 2.74/2.96 (s(s(s(s(s(s(z)))))) = s(z)),
% 2.74/2.96 inference(transitivity,[status(thm)],[2696, 1684])).
% 2.74/2.96 tff(2698,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[287, 2697])).
% 2.74/2.96 tff(2699,plain,((~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (~(z = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2700,plain,
% 2.74/2.96 (~(z = elem!1)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2699, 2684])).
% 2.74/2.96 tff(2701,plain,
% 2.74/2.96 (~(elem!1 = z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1697, 2700])).
% 2.74/2.96 tff(2702,plain,
% 2.74/2.96 (~(s(elem!1) = s(z))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1703, 2701])).
% 2.74/2.96 tff(2703,plain,
% 2.74/2.96 (~(s(z) = s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1512, 2702])).
% 2.74/2.96 tff(2704,plain,
% 2.74/2.96 ((s(elem!1) = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = s(elem!1))),
% 2.74/2.96 inference(symmetry,[status(thm)],[1500])).
% 2.74/2.96 tff(2705,plain,
% 2.74/2.96 (s(s(s(s(s(s(z)))))) = s(elem!1)),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2684, 2704])).
% 2.74/2.96 tff(2706,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1556, 2705])).
% 2.74/2.96 tff(2707,plain,((~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (s(s(s(s(s(s(z)))))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2708,plain,
% 2.74/2.96 (s(s(s(s(s(s(z)))))) = s(elem!1)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2707, 2684])).
% 2.74/2.96 tff(2709,plain,
% 2.74/2.96 (b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[1501])).
% 2.74/2.96 tff(2710,plain,
% 2.74/2.96 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2709])).
% 2.74/2.96 tff(2711,plain,
% 2.74/2.96 ((~b(s(s(s(s(z)))), s(elem!1))) <=> (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2710])).
% 2.74/2.96 tff(2712,plain,
% 2.74/2.96 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[1488, 2711])).
% 2.74/2.96 tff(2713,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[318, 2712])).
% 2.74/2.96 tff(2714,plain,((~(s(s(s(s(s(s(z)))))) = s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2715,plain,
% 2.74/2.96 (b(s(s(s(s(z)))), s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2714, 2708, 318])).
% 2.74/2.96 tff(2716,plain,
% 2.74/2.96 (b(s(elem!1), s(z)) <=> b(s(s(s(s(s(s(z)))))), s(z))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2684])).
% 2.74/2.96 tff(2717,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(z)))))), s(z)) <=> b(s(elem!1), s(z))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2716])).
% 2.74/2.96 tff(2718,plain,
% 2.74/2.96 (b(s(elem!1), s(z))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[526, 2717])).
% 2.74/2.96 tff(2719,plain,
% 2.74/2.96 (~b(s(z), s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1650, 2718, 2715, 177])).
% 2.74/2.96 tff(2720,plain,
% 2.74/2.96 (r(s(z), s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1655, 2719, 2703])).
% 2.74/2.96 tff(2721,plain,
% 2.74/2.96 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2720, 2695])).
% 2.74/2.96 tff(2722,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2723,plain,
% 2.74/2.96 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2724,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2723])).
% 2.74/2.96 tff(2725,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[2724, 2722])).
% 2.74/2.96 tff(2726,plain,
% 2.74/2.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.96 inference(quant_inst,[status(thm)],[])).
% 2.74/2.96 tff(2727,plain,
% 2.74/2.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2726, 2725])).
% 2.74/2.96 tff(2728,plain,
% 2.74/2.96 (~r(s(z), s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2727, 125, 135, 216, 115, 2721])).
% 2.74/2.96 tff(2729,plain,
% 2.74/2.96 (b(s(z), s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[163, 2728])).
% 2.74/2.96 tff(2730,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2656, 91, 79, 2729, 318, 177, 316, 526])).
% 2.74/2.96 tff(2731,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~(s(elem!1) = s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2732,plain,
% 2.74/2.96 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2731, 1284, 1265, 177, 1295, 1267, 216, 115, 2677])).
% 2.74/2.96 tff(2733,plain,
% 2.74/2.96 (r(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[763, 2732])).
% 2.74/2.96 tff(2734,plain,
% 2.74/2.96 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1303, 2733, 1203, 204, 1205])).
% 2.74/2.96 tff(2735,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1313, 2734])).
% 2.74/2.96 tff(2736,plain,
% 2.74/2.96 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2677])).
% 2.74/2.96 tff(2737,plain,
% 2.74/2.96 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2736])).
% 2.74/2.96 tff(2738,plain,
% 2.74/2.96 (r(s(elem!1), s(s(s(s(z)))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[204, 2737])).
% 2.74/2.96 tff(2739,plain,
% 2.74/2.96 (~(z = elem!1)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2699, 2677])).
% 2.74/2.96 tff(2740,plain,
% 2.74/2.96 (~(elem!1 = z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1697, 2739])).
% 2.74/2.96 tff(2741,plain,
% 2.74/2.96 (~(s(elem!1) = s(z))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1703, 2740])).
% 2.74/2.96 tff(2742,plain,
% 2.74/2.96 (~(s(z) = s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1512, 2741])).
% 2.74/2.96 tff(2743,plain,
% 2.74/2.96 (s(s(s(s(s(s(z)))))) = s(elem!1)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2707, 2677])).
% 2.74/2.96 tff(2744,plain,
% 2.74/2.96 (b(s(s(s(s(z)))), s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2714, 2743, 1265])).
% 2.74/2.96 tff(2745,plain,
% 2.74/2.96 (b(s(elem!1), s(z)) <=> b(s(s(s(s(s(s(z)))))), s(z))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2677])).
% 2.74/2.96 tff(2746,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(z)))))), s(z)) <=> b(s(elem!1), s(z))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2745])).
% 2.74/2.96 tff(2747,plain,
% 2.74/2.96 (b(s(elem!1), s(z))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[1284, 2746])).
% 2.74/2.96 tff(2748,plain,
% 2.74/2.96 (~b(s(z), s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1650, 2747, 2744, 177])).
% 2.74/2.96 tff(2749,plain,
% 2.74/2.96 (r(s(z), s(elem!1))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1655, 2748, 2742])).
% 2.74/2.96 tff(2750,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2751,plain,
% 2.74/2.96 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.74/2.96 inference(rewrite,[status(thm)],[])).
% 2.74/2.96 tff(2752,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2751])).
% 2.74/2.96 tff(2753,plain,
% 2.74/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[2752, 2750])).
% 2.74/2.96 tff(2754,plain,
% 2.74/2.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.74/2.96 inference(quant_inst,[status(thm)],[])).
% 2.74/2.96 tff(2755,plain,
% 2.74/2.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2754, 2753])).
% 2.74/2.96 tff(2756,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2755, 125, 1589, 1672, 135, 411, 1020])).
% 2.74/2.96 tff(2757,plain,((~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2758,plain,
% 2.74/2.96 (~r(s(z), z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2757, 2749, 1267, 2738, 1205])).
% 2.74/2.96 tff(2759,plain,
% 2.74/2.96 (b(s(z), z)),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[408, 2758])).
% 2.74/2.96 tff(2760,plain,
% 2.74/2.96 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1322, 2759, 2735, 1265, 177, 1295])).
% 2.74/2.96 tff(2761,plain,
% 2.74/2.96 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[295, 2760])).
% 2.74/2.96 tff(2762,plain,
% 2.74/2.96 (~r(s(z), s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1342, 2761])).
% 2.74/2.96 tff(2763,plain,
% 2.74/2.96 (b(s(z), s(s(s(s(s(z))))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[163, 2762])).
% 2.74/2.96 tff(2764,plain,
% 2.74/2.96 (s(s(s(s(s(s(s(z))))))) = s(s(elem!1))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2685])).
% 2.74/2.96 tff(2765,plain,
% 2.74/2.96 (b(s(z), s(s(s(s(s(s(s(z)))))))) <=> b(s(z), s(s(elem!1)))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2764])).
% 2.74/2.96 tff(2766,plain,
% 2.74/2.96 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2765])).
% 2.74/2.96 tff(2767,plain,
% 2.74/2.96 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[1737, 2766])).
% 2.74/2.96 tff(2768,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z)))))))) <=> b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2764])).
% 2.74/2.96 tff(2769,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(z)))))), s(s(elem!1))) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2768])).
% 2.74/2.96 tff(2770,plain,
% 2.74/2.96 (inj_0(s(elem!1)) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2684])).
% 2.74/2.96 tff(2771,plain,
% 2.74/2.96 (elem!1 = s(s(s(s(s(z)))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[1444, 2770, 15])).
% 2.74/2.96 tff(2772,plain,
% 2.74/2.96 ((elem!1 = s(s(s(s(z))))) <=> (s(s(s(s(s(z))))) = s(s(s(s(z)))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2771])).
% 2.74/2.96 tff(2773,plain,
% 2.74/2.96 ((s(s(s(s(s(z))))) = s(s(s(s(z))))) <=> (elem!1 = s(s(s(s(z)))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2772])).
% 2.74/2.96 tff(2774,plain,
% 2.74/2.96 ((~(s(s(s(s(s(z))))) = s(s(s(s(z)))))) <=> (~(elem!1 = s(s(s(s(z))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2773])).
% 2.74/2.96 tff(2775,plain,
% 2.74/2.96 (~(elem!1 = s(s(s(s(z)))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[364, 2774])).
% 2.74/2.96 tff(2776,plain,
% 2.74/2.96 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1448, 2775])).
% 2.74/2.96 tff(2777,plain,
% 2.74/2.96 (~b(z, s(s(elem!1)))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2281, 1737, 79, 1466, 176, 526])).
% 2.74/2.96 tff(2778,plain,
% 2.74/2.96 (r(z, s(s(elem!1)))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2271, 2777])).
% 2.74/2.96 tff(2779,plain,
% 2.74/2.96 (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1412, 2778, 204, 765, 1020])).
% 2.74/2.96 tff(2780,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1453, 2779, 2776])).
% 2.74/2.96 tff(2781,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2780, 2769])).
% 2.74/2.96 tff(2782,plain,
% 2.74/2.96 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(elem!1))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2770])).
% 2.74/2.96 tff(2783,plain,
% 2.74/2.96 (s(s(s(s(s(z))))) = elem!1),
% 2.74/2.96 inference(transitivity,[status(thm)],[233, 2782, 1443])).
% 2.74/2.96 tff(2784,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z)))))) <=> b(s(s(s(s(s(s(s(z))))))), elem!1)),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2783])).
% 2.74/2.96 tff(2785,plain,
% 2.74/2.96 (b(s(s(s(s(s(s(s(z))))))), elem!1) <=> b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2784])).
% 2.74/2.96 tff(2786,assumption,(~(elem!1 = s(s(s(s(s(z))))))), introduced(assumption)).
% 2.74/2.96 tff(2787,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2786, 2771])).
% 2.74/2.96 tff(2788,plain,((~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (elem!1 = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2789,plain,
% 2.74/2.96 (elem!1 = s(s(s(s(s(z)))))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2788, 2684])).
% 2.74/2.96 tff(2790,plain,
% 2.74/2.96 ((s(s(s(s(s(z))))) = elem!1) <=> (elem!1 = s(s(s(s(s(z))))))),
% 2.74/2.96 inference(commutativity,[status(thm)],[])).
% 2.74/2.96 tff(2791,plain,
% 2.74/2.96 ((elem!1 = s(s(s(s(s(z)))))) <=> (s(s(s(s(s(z))))) = elem!1)),
% 2.74/2.96 inference(symmetry,[status(thm)],[2790])).
% 2.74/2.96 tff(2792,assumption,(elem!1 = s(s(s(s(s(z)))))), introduced(assumption)).
% 2.74/2.96 tff(2793,plain,
% 2.74/2.96 (s(s(s(s(s(z))))) = elem!1),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[2792, 2791])).
% 2.74/2.96 tff(2794,assumption,(~(s(s(s(s(s(z))))) = elem!1)), introduced(assumption)).
% 2.74/2.96 tff(2795,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2794, 2793])).
% 2.74/2.96 tff(2796,plain,((~(elem!1 = s(s(s(s(s(z))))))) | (s(s(s(s(s(z))))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2797,plain,
% 2.74/2.96 (s(s(s(s(s(z))))) = elem!1),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2796, 2789])).
% 2.74/2.96 tff(2798,plain,
% 2.74/2.96 ((s(elem!1) = s(s(s(s(z))))) <=> (s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2684])).
% 2.74/2.96 tff(2799,plain,
% 2.74/2.96 ((s(s(s(s(s(s(z)))))) = s(s(s(s(z))))) <=> (s(elem!1) = s(s(s(s(z)))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2798])).
% 2.74/2.96 tff(2800,plain,
% 2.74/2.96 ((~(s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))) <=> (~(s(elem!1) = s(s(s(s(z))))))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2799])).
% 2.74/2.96 tff(2801,plain,
% 2.74/2.96 (~(s(elem!1) = s(s(s(s(z)))))),
% 2.74/2.96 inference(modus_ponens,[status(thm)],[54, 2800])).
% 2.74/2.96 tff(2802,assumption,(s(s(s(s(s(z))))) = elem!1), introduced(assumption)).
% 2.74/2.96 tff(2803,plain,
% 2.74/2.96 (s(s(s(s(s(z))))) = s(s(elem!1))),
% 2.74/2.96 inference(transitivity,[status(thm)],[2802, 1975])).
% 2.74/2.96 tff(2804,plain,
% 2.74/2.96 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(elem!1)))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2803])).
% 2.74/2.96 tff(2805,plain,
% 2.74/2.96 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(s(z))))))),
% 2.74/2.96 inference(symmetry,[status(thm)],[2804])).
% 2.74/2.96 tff(2806,plain,
% 2.74/2.96 (s(elem!1) = s(s(s(s(z))))),
% 2.74/2.96 inference(transitivity,[status(thm)],[1330, 2805, 25])).
% 2.74/2.96 tff(2807,plain,
% 2.74/2.96 ($false),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[1455, 2806])).
% 2.74/2.96 tff(2808,plain,((~(elem!1 = s(s(elem!1)))) | (s(elem!1) = s(s(s(s(z))))) | (~(s(s(s(s(s(z))))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.96 tff(2809,plain,
% 2.74/2.96 (~(elem!1 = s(s(elem!1)))),
% 2.74/2.96 inference(unit_resolution,[status(thm)],[2808, 2801, 2797])).
% 2.74/2.96 tff(2810,plain,
% 2.74/2.96 ((s(s(elem!1)) = elem!1) <=> (elem!1 = s(s(elem!1)))),
% 2.74/2.96 inference(commutativity,[status(thm)],[])).
% 2.74/2.96 tff(2811,plain,
% 2.74/2.96 (s(s(s(s(s(s(z)))))) = s(elem!1)),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2802])).
% 2.74/2.96 tff(2812,plain,
% 2.74/2.96 (s(s(s(s(s(s(s(z))))))) = s(s(elem!1))),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2811])).
% 2.74/2.96 tff(2813,plain,
% 2.74/2.96 ((s(s(s(s(s(s(s(z))))))) = elem!1) <=> (s(s(elem!1)) = elem!1)),
% 2.74/2.96 inference(monotonicity,[status(thm)],[2812])).
% 2.74/2.97 tff(2814,plain,
% 2.74/2.97 ((s(s(s(s(s(s(s(z))))))) = elem!1) <=> (elem!1 = s(s(elem!1)))),
% 2.74/2.97 inference(transitivity,[status(thm)],[2813, 2810])).
% 2.74/2.97 tff(2815,assumption,(s(s(s(s(s(s(s(z))))))) = elem!1), introduced(assumption)).
% 2.74/2.97 tff(2816,plain,
% 2.74/2.97 (elem!1 = s(s(elem!1))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[2815, 2814])).
% 2.74/2.97 tff(2817,plain,
% 2.74/2.97 ($false),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[1912, 2816])).
% 2.74/2.97 tff(2818,plain,((~(s(s(s(s(s(s(s(z))))))) = elem!1)) | (elem!1 = s(s(elem!1))) | (~(s(s(s(s(s(z))))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.97 tff(2819,plain,
% 2.74/2.97 (~(s(s(s(s(s(s(s(z))))))) = elem!1)),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2818, 2809, 2797])).
% 2.74/2.97 tff(2820,plain,
% 2.74/2.97 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z)))))) <=> r(s(s(s(s(s(s(s(z))))))), elem!1)),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2783])).
% 2.74/2.97 tff(2821,plain,
% 2.74/2.97 ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) <=> (~r(s(s(s(s(s(s(s(z))))))), elem!1))),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2820])).
% 2.74/2.97 tff(2822,plain,
% 2.74/2.97 (~b(s(s(s(s(s(z))))), s(z))),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[1363, 91, 79, 176, 1466, 526])).
% 2.74/2.97 tff(2823,plain,
% 2.74/2.97 (r(s(s(s(s(s(z))))), s(z))),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[394, 2822])).
% 2.74/2.97 tff(2824,plain,
% 2.74/2.97 (r(z, s(s(elem!1))) <=> r(z, s(s(s(s(s(s(s(z))))))))),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2685])).
% 2.74/2.97 tff(2825,plain,
% 2.74/2.97 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[2778, 2824])).
% 2.74/2.97 tff(2826,assumption,(r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.74/2.97 tff(2827,assumption,(r(z, s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.74/2.97 tff(2828,plain,
% 2.74/2.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2829,plain,
% 2.74/2.97 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2830,plain,
% 2.74/2.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2829])).
% 2.74/2.97 tff(2831,plain,
% 2.74/2.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.97 inference(transitivity,[status(thm)],[2830, 2828])).
% 2.74/2.97 tff(2832,plain,
% 2.74/2.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.97 inference(quant_inst,[status(thm)],[])).
% 2.74/2.97 tff(2833,plain,
% 2.74/2.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 2.74/2.97 tff(2834,plain,
% 2.74/2.97 ($false),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2833, 125, 410, 75, 270, 2827, 2826])).
% 2.74/2.97 tff(2835,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.97 tff(2836,plain,
% 2.74/2.97 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(z))))))),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2835, 2825, 75, 270, 2823])).
% 2.74/2.97 tff(2837,plain,
% 2.74/2.97 (~r(s(s(s(s(s(s(s(z))))))), elem!1)),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[2836, 2821])).
% 2.74/2.97 tff(2838,plain,
% 2.74/2.97 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = elem!1) | b(s(s(s(s(s(s(s(z))))))), elem!1) | r(s(s(s(s(s(s(s(z))))))), elem!1))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = elem!1) | b(s(s(s(s(s(s(s(z))))))), elem!1) | r(s(s(s(s(s(s(s(z))))))), elem!1))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2839,plain,
% 2.74/2.97 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = elem!1) | b(s(s(s(s(s(s(s(z))))))), elem!1) | r(s(s(s(s(s(s(s(z))))))), elem!1))),
% 2.74/2.97 inference(quant_inst,[status(thm)],[])).
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% 2.74/2.97 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 2.74/2.97 tff(2841,plain,
% 2.74/2.97 ((s(s(s(s(s(s(s(z))))))) = elem!1) | b(s(s(s(s(s(s(s(z))))))), elem!1) | r(s(s(s(s(s(s(s(z))))))), elem!1)),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2840, 64])).
% 2.74/2.97 tff(2842,plain,
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% 2.74/2.97 inference(unit_resolution,[status(thm)],[2841, 2837, 2819])).
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% 2.74/2.97 inference(monotonicity,[status(thm)],[2845])).
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% 2.74/2.97 tff(2851,plain,
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% 2.74/2.97 tff(2858,plain,
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% 2.74/2.97 tff(2874,plain,
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% 2.74/2.97 tff(2890,plain,
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% 2.74/2.97 inference(unit_resolution,[status(thm)],[2271, 2891])).
% 2.74/2.97 tff(2893,plain,
% 2.74/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2894,plain,
% 2.74/2.97 (((~b(s(elem!1), s(s(elem!1)))) | (~b(z, 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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2895,plain,
% 2.74/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))))),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2894])).
% 2.74/2.97 tff(2896,plain,
% 2.74/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 2.74/2.97 inference(transitivity,[status(thm)],[2895, 2893])).
% 2.74/2.97 tff(2897,plain,
% 2.74/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.74/2.97 inference(quant_inst,[status(thm)],[])).
% 2.74/2.97 tff(2898,plain,
% 2.74/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 2.74/2.97 tff(2899,plain,
% 2.74/2.97 ($false),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2898, 91, 1835, 2273, 79, 178, 1506, 349])).
% 2.74/2.97 tff(2900,plain,((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.97 tff(2901,plain,
% 2.74/2.97 (~b(s(elem!1), s(s(elem!1)))),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2900, 2892, 1295, 317, 2744, 2890])).
% 2.74/2.97 tff(2902,plain,
% 2.74/2.97 (((~![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))))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2903,plain,
% 2.74/2.97 ((~![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))))),
% 2.74/2.97 inference(quant_inst,[status(thm)],[])).
% 2.74/2.97 tff(2904,plain,
% 2.74/2.97 ((~![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)))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 2.74/2.97 tff(2905,plain,
% 2.74/2.97 ((s(elem!1) = s(s(elem!1))) | b(s(elem!1), s(s(elem!1))) | r(s(elem!1), s(s(elem!1)))),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2904, 64])).
% 2.74/2.97 tff(2906,plain,
% 2.74/2.97 (r(s(elem!1), s(s(elem!1)))),
% 2.74/2.97 inference(unit_resolution,[status(thm)],[2905, 2901, 2886])).
% 2.74/2.97 tff(2907,plain,
% 2.74/2.97 (r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[2906, 2878])).
% 2.74/2.97 tff(2908,plain,
% 2.74/2.97 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z)))))))) <=> r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2764])).
% 2.74/2.97 tff(2909,plain,
% 2.74/2.97 (r(s(s(s(s(s(s(z)))))), s(s(elem!1))) <=> r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.97 inference(symmetry,[status(thm)],[2908])).
% 2.74/2.97 tff(2910,plain,
% 2.74/2.97 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[1404, 2909])).
% 2.74/2.97 tff(2911,assumption,(r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.74/2.97 tff(2912,plain,
% 2.74/2.97 (r(s(z), s(s(s(s(s(s(s(z)))))))) <=> r(s(z), s(s(elem!1)))),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2764])).
% 2.74/2.97 tff(2913,plain,
% 2.74/2.97 (r(s(z), s(s(elem!1))) <=> r(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.97 inference(symmetry,[status(thm)],[2912])).
% 2.74/2.97 tff(2914,plain,
% 2.74/2.97 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.97 inference(modus_ponens,[status(thm)],[1379, 2913])).
% 2.74/2.97 tff(2915,plain,
% 2.74/2.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2916,plain,
% 2.74/2.97 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.97 inference(rewrite,[status(thm)],[])).
% 2.74/2.97 tff(2917,plain,
% 2.74/2.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.74/2.97 inference(monotonicity,[status(thm)],[2916])).
% 2.74/2.97 tff(2918,plain,
% 2.74/2.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.98 inference(transitivity,[status(thm)],[2917, 2915])).
% 2.74/2.98 tff(2919,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.98 inference(quant_inst,[status(thm)],[])).
% 2.74/2.98 tff(2920,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z)))))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2919, 2918])).
% 2.74/2.98 tff(2921,plain,
% 2.74/2.98 ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(s(s(z)))))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2920, 125, 269])).
% 2.74/2.98 tff(2922,plain,
% 2.74/2.98 ($false),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2921, 2914, 2911, 2910])).
% 2.74/2.98 tff(2923,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.98 tff(2924,plain,
% 2.74/2.98 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2923, 2761, 2907, 2677, 2854])).
% 2.74/2.98 tff(2925,plain,
% 2.74/2.98 (~r(s(s(elem!1)), s(elem!1))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2924, 2877])).
% 2.74/2.98 tff(2926,plain,
% 2.74/2.98 (b(s(s(elem!1)), s(elem!1))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1932, 2925, 2872])).
% 2.74/2.98 tff(2927,plain,
% 2.74/2.98 (b(s(s(elem!1)), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2926, 2860])).
% 2.74/2.98 tff(2928,plain,
% 2.74/2.98 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2927, 2859])).
% 2.74/2.98 tff(2929,plain,
% 2.74/2.98 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(s(s(s(z))))))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[2685])).
% 2.74/2.98 tff(2930,plain,
% 2.74/2.98 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2273, 2929])).
% 2.74/2.98 tff(2931,assumption,(~b(z, s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.74/2.98 tff(2932,plain,
% 2.74/2.98 ($false),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2931, 2930])).
% 2.74/2.98 tff(2933,plain,((~b(z, s(s(elem!1)))) | b(z, s(s(s(s(s(s(s(z)))))))) | (~(s(elem!1) = s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.98 tff(2934,plain,
% 2.74/2.98 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2933, 2892, 2677])).
% 2.74/2.98 tff(2935,plain,
% 2.74/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(2936,plain,
% 2.74/2.98 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(2937,plain,
% 2.74/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[2936])).
% 2.74/2.98 tff(2938,plain,
% 2.74/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 2.74/2.98 inference(transitivity,[status(thm)],[2937, 2935])).
% 2.74/2.98 tff(2939,plain,
% 2.74/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.74/2.98 inference(quant_inst,[status(thm)],[])).
% 2.74/2.98 tff(2940,plain,
% 2.74/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2939, 2938])).
% 2.74/2.98 tff(2941,plain,
% 2.74/2.98 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2940, 91, 317, 177, 1284, 2934, 2928])).
% 2.74/2.98 tff(2942,plain,
% 2.74/2.98 ($false),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2941, 2857])).
% 2.74/2.98 tff(2943,plain,(b(z, s(z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), z) | b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.98 tff(2944,plain,
% 2.74/2.98 (b(z, s(z))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2943, 309, 70, 216, 1204, 177, 101, 169])).
% 2.74/2.98 tff(2945,plain,
% 2.74/2.98 (~b(s(z), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1182, 2944, 317, 177])).
% 2.74/2.98 tff(2946,plain,
% 2.74/2.98 (r(s(z), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[408, 2945])).
% 2.74/2.98 tff(2947,plain,
% 2.74/2.98 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2666, 125, 70, 1263, 2946, 1205])).
% 2.74/2.98 tff(2948,plain,
% 2.74/2.98 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[295, 2947])).
% 2.74/2.98 tff(2949,plain,
% 2.74/2.98 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(2950,plain,
% 2.74/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[2949])).
% 2.74/2.98 tff(2951,plain,
% 2.74/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.98 inference(transitivity,[status(thm)],[2950, 2669])).
% 2.74/2.98 tff(2952,plain,
% 2.74/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.74/2.98 inference(quant_inst,[status(thm)],[])).
% 2.74/2.98 tff(2953,plain,
% 2.74/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 2.74/2.98 tff(2954,plain,
% 2.74/2.98 ($false),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2953, 91, 318, 177, 526, 297])).
% 2.74/2.98 tff(2955,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.98 tff(2956,plain,
% 2.74/2.98 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2955, 1207, 177, 2948])).
% 2.74/2.98 tff(2957,plain,
% 2.74/2.98 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[542, 2956])).
% 2.74/2.98 tff(2958,plain,
% 2.74/2.98 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1276, 2957, 70, 1205, 1263])).
% 2.74/2.98 tff(2959,plain,
% 2.74/2.98 (b(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[763, 2958])).
% 2.74/2.98 tff(2960,plain,
% 2.74/2.98 (~r(s(s(s(s(s(z))))), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1293, 1205, 1203, 1204])).
% 2.74/2.98 tff(2961,plain,
% 2.74/2.98 (b(s(s(s(s(s(z))))), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[427, 2960])).
% 2.74/2.98 tff(2962,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(2963,plain,
% 2.74/2.98 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(2964,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[2963])).
% 2.74/2.98 tff(2965,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.98 inference(transitivity,[status(thm)],[2964, 2962])).
% 2.74/2.98 tff(2966,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/2.98 inference(quant_inst,[status(thm)],[])).
% 2.74/2.98 tff(2967,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2966, 2965])).
% 2.74/2.98 tff(2968,plain,
% 2.74/2.98 ($false),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2967, 125, 203, 204, 135, 115, 545])).
% 2.74/2.98 tff(2969,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.98 tff(2970,plain,
% 2.74/2.98 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2969, 2957, 1263, 1204, 70])).
% 2.74/2.98 tff(2971,plain,
% 2.74/2.98 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1313, 2970])).
% 2.74/2.98 tff(2972,plain,
% 2.74/2.98 (~b(s(s(s(s(s(z))))), s(z))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1158, 2971, 317, 177, 2961, 2959])).
% 2.74/2.98 tff(2973,plain,
% 2.74/2.98 (r(s(s(s(s(s(z))))), s(z))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[394, 2972])).
% 2.74/2.98 tff(2974,plain,
% 2.74/2.98 (~b(s(z), s(s(s(s(z)))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1261, 1265, 178, 1203, 216, 177])).
% 2.74/2.98 tff(2975,plain,
% 2.74/2.98 (r(s(z), s(s(s(s(z)))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[563, 2974])).
% 2.74/2.98 tff(2976,plain,
% 2.74/2.98 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1276, 545, 204, 1205, 2975])).
% 2.74/2.98 tff(2977,plain,
% 2.74/2.98 (b(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[763, 2976])).
% 2.74/2.98 tff(2978,plain,
% 2.74/2.98 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2969, 545, 2975, 115, 204])).
% 2.74/2.98 tff(2979,plain,
% 2.74/2.98 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1313, 2978])).
% 2.74/2.98 tff(2980,plain,
% 2.74/2.98 (~b(s(s(s(s(s(z))))), s(z))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1158, 2979, 178, 177, 1295, 2977])).
% 2.74/2.98 tff(2981,plain,
% 2.74/2.98 (~b(s(z), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1182, 429, 178, 177])).
% 2.74/2.98 tff(2982,plain,
% 2.74/2.98 (r(s(z), z)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[408, 2981])).
% 2.74/2.98 tff(2983,plain,
% 2.74/2.98 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2666, 125, 204, 2975, 2982, 1205])).
% 2.74/2.98 tff(2984,plain,
% 2.74/2.98 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[295, 2983])).
% 2.74/2.98 tff(2985,plain,
% 2.74/2.98 (r(s(s(s(s(s(z))))), s(z))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[394, 2980])).
% 2.74/2.98 tff(2986,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(2987,plain,
% 2.74/2.98 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(2988,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[2987])).
% 2.74/2.98 tff(2989,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.74/2.98 inference(transitivity,[status(thm)],[2988, 2986])).
% 2.74/2.98 tff(2990,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.74/2.98 inference(quant_inst,[status(thm)],[])).
% 2.74/2.98 tff(2991,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 2.74/2.98 tff(2992,plain,
% 2.74/2.98 ($false),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2991, 125, 410, 135, 216, 73, 545])).
% 2.74/2.98 tff(2993,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.98 tff(2994,plain,
% 2.74/2.98 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2993, 2985, 2975, 216, 545])).
% 2.74/2.98 tff(2995,plain,
% 2.74/2.98 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[369, 2994])).
% 2.74/2.98 tff(2996,plain,
% 2.74/2.98 (~(s(s(elem!1)) = elem!1)),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2237, 2156])).
% 2.74/2.98 tff(2997,plain,
% 2.74/2.98 ((s(s(s(s(s(s(z)))))) = s(s(s(z)))) <=> (s(s(s(s(s(s(z)))))) = elem!1)),
% 2.74/2.98 inference(monotonicity,[status(thm)],[2032])).
% 2.74/2.98 tff(2998,plain,
% 2.74/2.98 ((s(s(s(s(s(s(z)))))) = s(s(s(z)))) <=> (elem!1 = s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(transitivity,[status(thm)],[2997, 2047])).
% 2.74/2.98 tff(2999,plain,
% 2.74/2.98 ((elem!1 = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = s(s(s(z))))),
% 2.74/2.98 inference(symmetry,[status(thm)],[2998])).
% 2.74/2.98 tff(3000,plain,
% 2.74/2.98 ((~(elem!1 = s(s(s(s(s(s(z)))))))) <=> (~(s(s(s(s(s(s(z)))))) = s(s(s(z)))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[2999])).
% 2.74/2.98 tff(3001,plain,
% 2.74/2.98 (~(s(s(s(s(s(s(z)))))) = s(s(s(z))))),
% 2.74/2.98 inference(modus_ponens,[status(thm)],[2053, 3000])).
% 2.74/2.98 tff(3002,plain,
% 2.74/2.98 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2666, 125, 204, 135, 411, 1205])).
% 2.74/2.98 tff(3003,plain,
% 2.74/2.98 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[295, 3002])).
% 2.74/2.98 tff(3004,plain,
% 2.74/2.98 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2969, 545, 135, 115, 204])).
% 2.74/2.98 tff(3005,plain,
% 2.74/2.98 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[1313, 3004])).
% 2.74/2.98 tff(3006,plain,
% 2.74/2.98 (b(s(z), s(s(elem!1))) <=> b(s(z), s(s(s(s(s(z))))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[1974])).
% 2.74/2.98 tff(3007,plain,
% 2.74/2.98 (~b(z, s(s(elem!1)))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2300, 1961, 101])).
% 2.74/2.98 tff(3008,plain,
% 2.74/2.98 (r(z, s(s(elem!1)))),
% 2.74/2.98 inference(unit_resolution,[status(thm)],[2271, 3007])).
% 2.74/2.98 tff(3009,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(3010,plain,
% 2.74/2.98 (((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))),
% 2.74/2.98 inference(rewrite,[status(thm)],[])).
% 2.74/2.98 tff(3011,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1))))))),
% 2.74/2.98 inference(monotonicity,[status(thm)],[3010])).
% 2.74/2.98 tff(3012,plain,
% 2.74/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1)))))),
% 2.74/2.98 inference(transitivity,[status(thm)],[3011, 3009])).
% 2.74/2.98 tff(3013,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/2.98 inference(quant_inst,[status(thm)],[])).
% 2.74/2.98 tff(3014,plain,
% 2.74/2.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(elem!1))))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 2.74/2.99 tff(3015,plain,
% 2.74/2.99 ($false),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3014, 125, 1376, 135, 1379, 411, 1020])).
% 2.74/2.99 tff(3016,plain,((~r(s(z), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.99 tff(3017,plain,
% 2.74/2.99 (~r(s(z), s(s(elem!1)))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3016, 3008, 135, 411, 1205])).
% 2.74/2.99 tff(3018,plain,
% 2.74/2.99 (b(s(z), s(s(elem!1)))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[1402, 3017, 1335])).
% 2.74/2.99 tff(3019,plain,
% 2.74/2.99 (b(s(z), s(s(s(s(s(z))))))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3018, 3006])).
% 2.74/2.99 tff(3020,plain,
% 2.74/2.99 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), elem!1)),
% 2.74/2.99 inference(monotonicity,[status(thm)],[2032])).
% 2.74/2.99 tff(3021,plain,
% 2.74/2.99 (b(s(s(s(s(z)))), elem!1) <=> b(s(s(s(s(z)))), s(s(s(z))))),
% 2.74/2.99 inference(symmetry,[status(thm)],[3020])).
% 2.74/2.99 tff(3022,plain,
% 2.74/2.99 ((elem!1 = s(elem!1)) <=> (s(s(s(s(z)))) = elem!1)),
% 2.74/2.99 inference(transitivity,[status(thm)],[2154, 1430])).
% 2.74/2.99 tff(3023,plain,
% 2.74/2.99 ((~(elem!1 = s(elem!1))) <=> (~(s(s(s(s(z)))) = elem!1))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3022])).
% 2.74/2.99 tff(3024,plain,
% 2.74/2.99 (~(s(s(s(s(z)))) = elem!1)),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[2158, 3023])).
% 2.74/2.99 tff(3025,plain,
% 2.74/2.99 (r(s(elem!1), elem!1) <=> r(s(s(s(s(z)))), elem!1)),
% 2.74/2.99 inference(monotonicity,[status(thm)],[1961])).
% 2.74/2.99 tff(3026,plain,
% 2.74/2.99 ((~r(s(elem!1), elem!1)) <=> (~r(s(s(s(s(z)))), elem!1))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3025])).
% 2.74/2.99 tff(3027,plain,
% 2.74/2.99 (~b(s(elem!1), z)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[1965, 1961, 309])).
% 2.74/2.99 tff(3028,plain,
% 2.74/2.99 (r(s(elem!1), z)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[1669, 3027])).
% 2.74/2.99 tff(3029,plain,
% 2.74/2.99 (r(s(elem!1), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[1961])).
% 2.74/2.99 tff(3030,plain,
% 2.74/2.99 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.74/2.99 inference(symmetry,[status(thm)],[3029])).
% 2.74/2.99 tff(3031,plain,
% 2.74/2.99 (r(s(s(s(s(z)))), s(s(elem!1))) <=> r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[1974])).
% 2.74/2.99 tff(3032,plain,
% 2.74/2.99 (r(s(s(s(s(z)))), s(s(s(s(s(z)))))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.74/2.99 inference(symmetry,[status(thm)],[3031])).
% 2.74/2.99 tff(3033,plain,
% 2.74/2.99 (r(s(s(s(s(z)))), s(s(s(s(s(z)))))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.74/2.99 inference(transitivity,[status(thm)],[3032, 3030])).
% 2.74/2.99 tff(3034,plain,
% 2.74/2.99 (r(s(elem!1), s(s(elem!1)))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[115, 3033])).
% 2.74/2.99 tff(3035,plain,
% 2.74/2.99 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[1276, 545, 204, 1205, 135])).
% 2.74/2.99 tff(3036,plain,
% 2.74/2.99 (b(s(s(s(s(s(s(z)))))), z)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[763, 3035])).
% 2.74/2.99 tff(3037,plain,
% 2.74/2.99 (~r(s(s(elem!1)), elem!1)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[2247, 2202, 1376, 1477, 2201])).
% 2.74/2.99 tff(3038,plain,
% 2.74/2.99 (b(s(s(elem!1)), elem!1)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[2256, 3037, 2996])).
% 2.74/2.99 tff(3039,plain,
% 2.74/2.99 (b(s(s(elem!1)), elem!1) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[1974, 2070])).
% 2.74/2.99 tff(3040,plain,
% 2.74/2.99 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(elem!1)), elem!1)),
% 2.74/2.99 inference(symmetry,[status(thm)],[3039])).
% 2.74/2.99 tff(3041,plain,
% 2.74/2.99 ((~b(s(s(s(s(s(z))))), s(s(s(z))))) <=> (~b(s(s(elem!1)), elem!1))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3040])).
% 2.74/2.99 tff(3042,assumption,(~b(s(s(s(s(s(z))))), s(s(s(z))))), introduced(assumption)).
% 2.74/2.99 tff(3043,plain,
% 2.74/2.99 (~b(s(s(elem!1)), elem!1)),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 2.74/2.99 tff(3044,assumption,(b(s(s(elem!1)), elem!1)), introduced(assumption)).
% 2.74/2.99 tff(3045,plain,
% 2.74/2.99 ($false),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3044, 3043])).
% 2.74/2.99 tff(3046,plain,(b(s(s(s(s(s(z))))), s(s(s(z)))) | (~b(s(s(elem!1)), elem!1)) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.99 tff(3047,plain,
% 2.74/2.99 (b(s(s(s(s(s(z))))), s(s(s(z))))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3046, 3038, 1961])).
% 2.74/2.99 tff(3048,plain,
% 2.74/2.99 (~r(elem!1, z)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[2211, 2202, 2201, 1477, 1376])).
% 2.74/2.99 tff(3049,plain,
% 2.74/2.99 (b(elem!1, z)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[2216, 3048, 1701])).
% 2.74/2.99 tff(3050,plain,
% 2.74/2.99 (b(s(s(s(z))), z)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[2223, 3049, 1961])).
% 2.74/2.99 tff(3051,plain,
% 2.74/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3052,plain,
% 2.74/2.99 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3053,plain,
% 2.74/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3052])).
% 2.74/2.99 tff(3054,plain,
% 2.74/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(transitivity,[status(thm)],[3053, 3051])).
% 2.74/2.99 tff(3055,plain,
% 2.74/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(quant_inst,[status(thm)],[])).
% 2.74/2.99 tff(3056,plain,
% 2.74/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 2.74/2.99 tff(3057,plain,
% 2.74/2.99 ($false),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3056, 91, 176, 348, 316, 3050, 3047, 297])).
% 2.74/2.99 tff(3058,plain,((~r(s(elem!1), elem!1)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~(s(elem!1) = s(s(s(s(z)))))) | (elem!1 = z) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), z)) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.99 tff(3059,plain,
% 2.74/2.99 (~r(s(elem!1), elem!1)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3058, 3019, 3005, 3036, 3003, 1961, 1701, 3034, 3028, 3008])).
% 2.74/2.99 tff(3060,plain,
% 2.74/2.99 (~r(s(s(s(s(z)))), elem!1)),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3059, 3026])).
% 2.74/2.99 tff(3061,plain,
% 2.74/2.99 (b(s(s(s(s(z)))), elem!1)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[2543, 3060, 3024])).
% 2.74/2.99 tff(3062,plain,
% 2.74/2.99 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3061, 3021])).
% 2.74/2.99 tff(3063,assumption,(b(s(s(s(s(s(s(z)))))), s(s(s(z))))), introduced(assumption)).
% 2.74/2.99 tff(3064,assumption,(b(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 2.74/2.99 tff(3065,plain,
% 2.74/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3066,plain,
% 2.74/2.99 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3067,plain,
% 2.74/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3066])).
% 2.74/2.99 tff(3068,plain,
% 2.74/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(transitivity,[status(thm)],[3067, 3065])).
% 2.74/2.99 tff(3069,plain,
% 2.74/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(quant_inst,[status(thm)],[])).
% 2.74/2.99 tff(3070,plain,
% 2.74/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 2.74/2.99 tff(3071,plain,
% 2.74/2.99 ($false),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3070, 91, 3064, 176, 348, 3063, 349, 297])).
% 2.74/2.99 tff(3072,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.99 tff(3073,plain,
% 2.74/2.99 (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3072, 3062, 3019, 3005, 349, 3003])).
% 2.74/2.99 tff(3074,plain,
% 2.74/2.99 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(z)))))), s(s(s(z)))) | r(s(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(s(z)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(z)))))), s(s(s(z)))) | r(s(s(s(s(s(s(z)))))), s(s(s(z)))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3075,plain,
% 2.74/2.99 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(z)))))), s(s(s(z)))) | r(s(s(s(s(s(s(z)))))), s(s(s(z)))))),
% 2.74/2.99 inference(quant_inst,[status(thm)],[])).
% 2.74/2.99 tff(3076,plain,
% 2.74/2.99 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(s(z)))) | b(s(s(s(s(s(s(z)))))), s(s(s(z)))) | r(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3075, 3074])).
% 2.74/2.99 tff(3077,plain,
% 2.74/2.99 ((s(s(s(s(s(s(z)))))) = s(s(s(z)))) | r(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3076, 64, 3073])).
% 2.74/2.99 tff(3078,plain,
% 2.74/2.99 (r(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3077, 3001])).
% 2.74/2.99 tff(3079,plain,
% 2.74/2.99 (~r(s(s(s(s(z)))), s(elem!1))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[1486, 3028, 1203, 1205, 115])).
% 2.74/2.99 tff(3080,plain,
% 2.74/2.99 (s(s(s(s(z)))) = s(elem!1)),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[1495, 3079, 1488])).
% 2.74/2.99 tff(3081,assumption,(elem!1 = s(s(z))), introduced(assumption)).
% 2.74/2.99 tff(3082,plain,
% 2.74/2.99 (s(s(z)) = elem!1),
% 2.74/2.99 inference(symmetry,[status(thm)],[3081])).
% 2.74/2.99 tff(3083,plain,
% 2.74/2.99 (s(s(z)) = s(s(s(z)))),
% 2.74/2.99 inference(transitivity,[status(thm)],[3082, 1444, 2012, 19])).
% 2.74/2.99 tff(3084,plain,
% 2.74/2.99 (inj_0(s(s(z))) = inj_0(s(s(s(z))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3083])).
% 2.74/2.99 tff(3085,plain,
% 2.74/2.99 (s(z) = elem!1),
% 2.74/2.99 inference(transitivity,[status(thm)],[35, 3084, 13, 3082])).
% 2.74/2.99 tff(3086,plain,
% 2.74/2.99 ((~(elem!1 = s(z))) <=> (~(s(z) = elem!1))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[2022])).
% 2.74/2.99 tff(3087,plain,
% 2.74/2.99 (~(s(z) = elem!1)),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[2021, 3086])).
% 2.74/2.99 tff(3088,plain,
% 2.74/2.99 ($false),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3087, 3085])).
% 2.74/2.99 tff(3089,plain,((~(elem!1 = s(s(z)))) | (~(s(s(s(s(z)))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.99 tff(3090,plain,
% 2.74/2.99 (~(elem!1 = s(s(z)))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3089, 3080])).
% 2.74/2.99 tff(3091,plain,
% 2.74/2.99 (b(s(elem!1), s(s(z))) <=> b(s(s(s(s(z)))), s(s(z)))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[1961])).
% 2.74/2.99 tff(3092,plain,
% 2.74/2.99 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(elem!1), s(s(z)))),
% 2.74/2.99 inference(symmetry,[status(thm)],[3091])).
% 2.74/2.99 tff(3093,plain,
% 2.74/2.99 (s(s(s(s(s(z))))) = s(s(elem!1))),
% 2.74/2.99 inference(symmetry,[status(thm)],[1974])).
% 2.74/2.99 tff(3094,plain,
% 2.74/2.99 (r(s(s(s(s(s(z))))), s(s(z))) <=> r(s(s(elem!1)), s(s(z)))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3093])).
% 2.74/2.99 tff(3095,plain,
% 2.74/2.99 (r(s(s(elem!1)), s(s(z))) <=> r(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/2.99 inference(symmetry,[status(thm)],[3094])).
% 2.74/2.99 tff(3096,plain,
% 2.74/2.99 ((s(s(elem!1)) = s(s(z))) <=> (s(s(s(s(s(z))))) = s(s(z)))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[1974])).
% 2.74/2.99 tff(3097,plain,
% 2.74/2.99 ((s(s(s(s(s(z))))) = s(s(z))) <=> (s(s(elem!1)) = s(s(z)))),
% 2.74/2.99 inference(symmetry,[status(thm)],[3096])).
% 2.74/2.99 tff(3098,plain,
% 2.74/2.99 ((~(s(s(s(s(s(z))))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(z))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3097])).
% 2.74/2.99 tff(3099,plain,
% 2.74/2.99 (~(s(s(elem!1)) = s(s(z)))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[785, 3098])).
% 2.74/2.99 tff(3100,plain,
% 2.74/2.99 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(s(elem!1)), s(s(z)))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3093])).
% 2.74/2.99 tff(3101,plain,
% 2.74/2.99 ((~b(s(s(s(s(s(z))))), s(s(z)))) <=> (~b(s(s(elem!1)), s(s(z))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3100])).
% 2.74/2.99 tff(3102,assumption,(r(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 2.74/2.99 tff(3103,assumption,(r(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 2.74/2.99 tff(3104,plain,
% 2.74/2.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(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(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(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(s(s(z)))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3105,plain,
% 2.74/2.99 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(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(s(s(z)))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3106,plain,
% 2.74/2.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(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(s(s(z))))))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3105])).
% 2.74/2.99 tff(3107,plain,
% 2.74/2.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(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(s(s(z)))))))),
% 2.74/2.99 inference(transitivity,[status(thm)],[3106, 3104])).
% 2.74/2.99 tff(3108,plain,
% 2.74/2.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/2.99 inference(quant_inst,[status(thm)],[])).
% 2.74/2.99 tff(3109,plain,
% 2.74/2.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 2.74/2.99 tff(3110,plain,
% 2.74/2.99 ($false),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3109, 125, 204, 3102, 135, 3103, 545])).
% 2.74/2.99 tff(3111,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(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(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.74/2.99 tff(3112,plain,
% 2.74/2.99 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3111, 3102, 204, 135, 545])).
% 2.74/2.99 tff(3113,plain,
% 2.74/2.99 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(z))) | b(s(s(s(s(s(s(z)))))), s(s(z))) | r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(z))) | b(s(s(s(s(s(s(z)))))), s(s(z))) | r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3114,plain,
% 2.74/2.99 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = s(s(z))) | b(s(s(s(s(s(s(z)))))), s(s(z))) | r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.74/2.99 inference(quant_inst,[status(thm)],[])).
% 2.74/2.99 tff(3115,plain,
% 2.74/2.99 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(z))) | b(s(s(s(s(s(s(z)))))), s(s(z))) | r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.74/2.99 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 2.74/2.99 tff(3116,plain,
% 2.74/2.99 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.74/2.99 inference(unit_resolution,[status(thm)],[3115, 64, 3112, 869])).
% 2.74/2.99 tff(3117,plain,
% 2.74/2.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3118,plain,
% 2.74/2.99 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.74/2.99 inference(rewrite,[status(thm)],[])).
% 2.74/2.99 tff(3119,plain,
% 2.74/2.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.74/2.99 inference(monotonicity,[status(thm)],[3118])).
% 2.74/2.99 tff(3120,plain,
% 2.74/2.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.74/2.99 inference(transitivity,[status(thm)],[3119, 3117])).
% 2.74/2.99 tff(3121,plain,
% 2.74/2.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.74/2.99 inference(quant_inst,[status(thm)],[])).
% 2.74/3.00 tff(3122,plain,
% 2.74/3.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3121, 3120])).
% 2.74/3.00 tff(3123,plain,
% 2.74/3.00 ($false),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3122, 125, 75, 3102, 1020, 836, 115])).
% 2.74/3.00 tff(3124,plain,((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.00 tff(3125,plain,
% 2.74/3.00 (~r(s(s(z)), z)),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3124, 3102, 75, 1020, 115])).
% 2.74/3.00 tff(3126,plain,
% 2.74/3.00 (b(s(s(z)), z)),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[898, 3125])).
% 2.74/3.00 tff(3127,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3128,plain,
% 2.74/3.00 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3129,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.74/3.00 inference(monotonicity,[status(thm)],[3128])).
% 2.74/3.00 tff(3130,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.74/3.00 inference(transitivity,[status(thm)],[3129, 3127])).
% 2.74/3.00 tff(3131,plain,
% 2.74/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.74/3.00 inference(quant_inst,[status(thm)],[])).
% 2.74/3.00 tff(3132,plain,
% 2.74/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3131, 3130])).
% 2.74/3.00 tff(3133,plain,
% 2.74/3.00 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3132, 91, 3126, 3116, 178, 3005, 349])).
% 2.74/3.00 tff(3134,plain,
% 2.74/3.00 (~b(s(s(elem!1)), s(s(z)))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3133, 3101])).
% 2.74/3.00 tff(3135,plain,
% 2.74/3.00 (r(s(s(elem!1)), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[2507, 3134, 3099])).
% 2.74/3.00 tff(3136,plain,
% 2.74/3.00 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3135, 3095])).
% 2.74/3.00 tff(3137,plain,
% 2.74/3.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3138,plain,
% 2.74/3.00 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3139,plain,
% 2.74/3.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.74/3.00 inference(monotonicity,[status(thm)],[3138])).
% 2.74/3.00 tff(3140,plain,
% 2.74/3.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.74/3.00 inference(transitivity,[status(thm)],[3139, 3137])).
% 2.74/3.00 tff(3141,plain,
% 2.74/3.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.74/3.00 inference(quant_inst,[status(thm)],[])).
% 2.74/3.00 tff(3142,plain,
% 2.74/3.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 2.74/3.00 tff(3143,plain,
% 2.74/3.00 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3142, 125, 75, 3102, 1020, 115])).
% 2.74/3.00 tff(3144,plain,
% 2.74/3.00 ($false),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3143, 3136])).
% 2.74/3.00 tff(3145,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~(s(elem!1) = s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.00 tff(3146,plain,
% 2.74/3.00 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3145, 1961, 1203, 1205, 115, 178, 349, 204, 135, 545])).
% 2.74/3.00 tff(3147,plain,
% 2.74/3.00 (b(s(s(s(s(z)))), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[938, 3146])).
% 2.74/3.00 tff(3148,plain,
% 2.74/3.00 (b(s(elem!1), s(s(z)))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3147, 3092])).
% 2.74/3.00 tff(3149,plain,
% 2.74/3.00 (~(s(elem!1) = elem!1)),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[1996, 2158])).
% 2.74/3.00 tff(3150,plain,
% 2.74/3.00 (b(s(elem!1), elem!1)),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[2199, 3059, 3149])).
% 2.74/3.00 tff(3151,assumption,(b(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3152,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3153,plain,
% 2.74/3.00 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3154,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.74/3.00 inference(monotonicity,[status(thm)],[3153])).
% 2.74/3.00 tff(3155,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/3.00 inference(transitivity,[status(thm)],[3154, 3152])).
% 2.74/3.00 tff(3156,plain,
% 2.74/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.74/3.00 inference(quant_inst,[status(thm)],[])).
% 2.74/3.00 tff(3157,plain,
% 2.74/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3156, 3155])).
% 2.74/3.00 tff(3158,plain,
% 2.74/3.00 ($false),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3157, 91, 3151, 176, 348, 923, 349, 297])).
% 2.74/3.00 tff(3159,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.00 tff(3160,plain,
% 2.74/3.00 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3159, 3019, 3005, 3147, 349, 3003])).
% 2.74/3.00 tff(3161,assumption,(~r(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3162,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3163,plain,
% 2.74/3.00 ($false),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3115, 64, 3162, 3161, 869])).
% 2.74/3.00 tff(3164,plain,(b(s(s(s(s(s(s(z)))))), s(s(z))) | r(s(s(s(s(s(s(z)))))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.00 tff(3165,plain,
% 2.74/3.00 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3164, 3160])).
% 2.74/3.00 tff(3166,plain,
% 2.74/3.00 (b(s(s(elem!1)), s(s(z))) <=> b(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.00 inference(symmetry,[status(thm)],[3100])).
% 2.74/3.00 tff(3167,assumption,(b(s(s(elem!1)), s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3168,plain,
% 2.74/3.00 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3167, 3166])).
% 2.74/3.00 tff(3169,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(s(z))))), s(s(z)))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3170,plain,
% 2.74/3.00 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(s(z))))), s(s(z)))))),
% 2.74/3.00 inference(rewrite,[status(thm)],[])).
% 2.74/3.00 tff(3171,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(s(z))))), s(s(z))))))),
% 2.74/3.00 inference(monotonicity,[status(thm)],[3170])).
% 2.74/3.00 tff(3172,plain,
% 2.74/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(s(z))))), s(s(z)))))),
% 2.74/3.00 inference(transitivity,[status(thm)],[3171, 3169])).
% 2.74/3.00 tff(3173,plain,
% 2.74/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.74/3.00 inference(quant_inst,[status(thm)],[])).
% 2.74/3.00 tff(3174,plain,
% 2.74/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 2.74/3.00 tff(3175,plain,
% 2.74/3.00 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3174, 91, 79, 178, 348, 923, 316])).
% 2.74/3.00 tff(3176,plain,
% 2.74/3.00 ($false),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3175, 3168])).
% 2.74/3.00 tff(3177,plain,((~b(s(s(elem!1)), s(s(z)))) | (~(s(elem!1) = s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.00 tff(3178,plain,
% 2.74/3.00 (~b(s(s(elem!1)), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3177, 1961, 1295, 178, 3005, 3147, 3036])).
% 2.74/3.00 tff(3179,plain,
% 2.74/3.00 (r(s(s(elem!1)), s(s(z)))),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[2507, 3178, 3099])).
% 2.74/3.00 tff(3180,assumption,(r(s(s(elem!1)), s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3181,plain,
% 2.74/3.00 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3180, 3095])).
% 2.74/3.00 tff(3182,plain,
% 2.74/3.00 (r(s(s(z)), s(s(s(z)))) <=> r(s(s(z)), elem!1)),
% 2.74/3.00 inference(monotonicity,[status(thm)],[2032])).
% 2.74/3.00 tff(3183,plain,
% 2.74/3.00 (r(s(s(z)), elem!1) <=> r(s(s(z)), s(s(s(z))))),
% 2.74/3.00 inference(symmetry,[status(thm)],[3182])).
% 2.74/3.00 tff(3184,assumption,(~(elem!1 = s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3185,assumption,(s(s(z)) = elem!1), introduced(assumption)).
% 2.74/3.00 tff(3186,plain,
% 2.74/3.00 (elem!1 = s(s(z))),
% 2.74/3.00 inference(modus_ponens,[status(thm)],[3185, 2324])).
% 2.74/3.00 tff(3187,plain,
% 2.74/3.00 ($false),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3184, 3186])).
% 2.74/3.00 tff(3188,plain,((~(s(s(z)) = elem!1)) | (elem!1 = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.00 tff(3189,plain,
% 2.74/3.00 (~(s(s(z)) = elem!1)),
% 2.74/3.00 inference(unit_resolution,[status(thm)],[3188, 3184])).
% 2.74/3.00 tff(3190,assumption,(b(s(elem!1), s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3191,plain,
% 2.74/3.00 (r(s(s(s(z))), s(s(z))) <=> r(elem!1, s(s(z)))),
% 2.74/3.00 inference(monotonicity,[status(thm)],[2032])).
% 2.74/3.00 tff(3192,plain,
% 2.74/3.00 ((~r(s(s(s(z))), s(s(z)))) <=> (~r(elem!1, s(s(z))))),
% 2.74/3.00 inference(monotonicity,[status(thm)],[3191])).
% 2.74/3.00 tff(3193,assumption,(r(s(s(s(s(s(z))))), s(s(s(z))))), introduced(assumption)).
% 2.74/3.00 tff(3194,assumption,(r(s(s(s(s(s(s(z)))))), s(s(s(z))))), introduced(assumption)).
% 2.74/3.00 tff(3195,assumption,(r(s(s(s(z))), s(s(z)))), introduced(assumption)).
% 2.74/3.00 tff(3196,plain,
% 2.74/3.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3197,plain,
% 2.74/3.01 (((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(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(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3198,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(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(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(z)))))))),
% 2.74/3.01 inference(monotonicity,[status(thm)],[3197])).
% 2.74/3.01 tff(3199,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(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(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(transitivity,[status(thm)],[3198, 3196])).
% 2.74/3.01 tff(3200,plain,
% 2.74/3.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(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(s(s(s(s(z)))))))))),
% 2.74/3.01 inference(quant_inst,[status(thm)],[])).
% 2.74/3.01 tff(3201,plain,
% 2.74/3.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(z)))))),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 2.74/3.01 tff(3202,plain,
% 2.74/3.01 ((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3201, 125, 216, 3194, 3193])).
% 2.74/3.01 tff(3203,plain,
% 2.74/3.01 ($false),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3202, 3181, 3195])).
% 2.74/3.01 tff(3204,plain,((~r(s(s(s(z))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(z)))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.01 tff(3205,plain,
% 2.74/3.01 (~r(s(s(s(z))), s(s(z)))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3204, 3180, 3194, 3193, 216, 1961])).
% 2.74/3.01 tff(3206,plain,
% 2.74/3.01 (~r(elem!1, s(s(z)))),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3205, 3192])).
% 2.74/3.01 tff(3207,plain,
% 2.74/3.01 (b(elem!1, s(s(z)))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[2430, 3206, 3184])).
% 2.74/3.01 tff(3208,plain,
% 2.74/3.01 (~b(s(s(z)), elem!1)),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[2469, 3207, 1809, 3190])).
% 2.74/3.01 tff(3209,plain,
% 2.74/3.01 (r(s(s(z)), elem!1)),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[2459, 3208, 3189])).
% 2.74/3.01 tff(3210,plain,
% 2.74/3.01 (r(s(s(z)), s(s(s(z))))),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3209, 3183])).
% 2.74/3.01 tff(3211,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3212,plain,
% 2.74/3.01 (((~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(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3213,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z)))))))),
% 2.74/3.01 inference(monotonicity,[status(thm)],[3212])).
% 2.74/3.01 tff(3214,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(transitivity,[status(thm)],[3213, 3211])).
% 2.74/3.01 tff(3215,plain,
% 2.74/3.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.74/3.01 inference(quant_inst,[status(thm)],[])).
% 2.74/3.01 tff(3216,plain,
% 2.74/3.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(z)))))),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 2.74/3.01 tff(3217,plain,
% 2.74/3.01 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3216, 125, 3103, 216, 3193, 3210])).
% 2.74/3.01 tff(3218,plain,
% 2.74/3.01 ($false),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3217, 3181])).
% 2.74/3.01 tff(3219,plain,((~r(s(s(elem!1)), s(s(z)))) | (~(s(elem!1) = s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(s(elem!1), elem!1)) | (~b(s(elem!1), s(s(z)))) | (elem!1 = s(s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.01 tff(3220,plain,
% 2.74/3.01 (~r(s(s(s(s(s(z))))), s(s(s(z))))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3219, 3179, 3165, 216, 1961, 3150, 3148, 3090, 3078])).
% 2.74/3.01 tff(3221,plain,
% 2.74/3.01 (r(s(s(elem!1)), elem!1) <=> r(s(s(s(s(s(z))))), elem!1)),
% 2.74/3.01 inference(monotonicity,[status(thm)],[1974])).
% 2.74/3.01 tff(3222,plain,
% 2.74/3.01 (r(s(s(s(s(s(z))))), elem!1) <=> r(s(s(elem!1)), elem!1)),
% 2.74/3.01 inference(symmetry,[status(thm)],[3221])).
% 2.74/3.01 tff(3223,plain,
% 2.74/3.01 (r(s(s(s(s(s(z))))), s(s(s(z)))) <=> r(s(s(s(s(s(z))))), elem!1)),
% 2.74/3.01 inference(monotonicity,[status(thm)],[2032])).
% 2.74/3.01 tff(3224,plain,
% 2.74/3.01 (r(s(s(s(s(s(z))))), s(s(s(z)))) <=> r(s(s(elem!1)), elem!1)),
% 2.74/3.01 inference(transitivity,[status(thm)],[3223, 3222])).
% 2.74/3.01 tff(3225,plain,
% 2.74/3.01 ((~r(s(s(s(s(s(z))))), s(s(s(z))))) <=> (~r(s(s(elem!1)), elem!1))),
% 2.74/3.01 inference(monotonicity,[status(thm)],[3224])).
% 2.74/3.01 tff(3226,assumption,(~r(s(s(s(s(s(z))))), s(s(s(z))))), introduced(assumption)).
% 2.74/3.01 tff(3227,plain,
% 2.74/3.01 (~r(s(s(elem!1)), elem!1)),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 2.74/3.01 tff(3228,plain,
% 2.74/3.01 ($false),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[2239, 3227])).
% 2.74/3.01 tff(3229,plain,(r(s(s(s(s(s(z))))), s(s(s(z)))) | (~r(s(s(elem!1)), elem!1)) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.01 tff(3230,plain,
% 2.74/3.01 (~r(s(s(elem!1)), elem!1)),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3229, 3220, 1961])).
% 2.74/3.01 tff(3231,plain,
% 2.74/3.01 (b(s(s(elem!1)), elem!1)),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[2256, 3230, 2996])).
% 2.74/3.01 tff(3232,plain,
% 2.74/3.01 (b(s(s(s(s(s(z))))), s(s(s(z))))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3046, 3231, 1961])).
% 2.74/3.01 tff(3233,plain,
% 2.74/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(z))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3234,plain,
% 2.74/3.01 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3235,plain,
% 2.74/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(z))))), s(s(s(z)))))))),
% 2.74/3.01 inference(monotonicity,[status(thm)],[3234])).
% 2.74/3.01 tff(3236,plain,
% 2.74/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(s(s(z))))), s(s(s(z))))))),
% 2.74/3.01 inference(transitivity,[status(thm)],[3235, 3233])).
% 2.74/3.01 tff(3237,plain,
% 2.74/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.74/3.01 inference(quant_inst,[status(thm)],[])).
% 2.74/3.01 tff(3238,plain,
% 2.74/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(s(s(z)))))),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3237, 3236])).
% 2.74/3.01 tff(3239,plain,
% 2.74/3.01 ($false),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3238, 91, 3062, 1295, 178, 3005, 3036, 3232])).
% 2.74/3.01 tff(3240,plain,((~(s(elem!1) = s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (elem!1 = z) | b(s(s(s(s(z)))), s(elem!1)) | (~r(s(z), z)) | b(z, s(s(s(s(s(z)))))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 2.74/3.01 tff(3241,plain,
% 2.74/3.01 (~(s(elem!1) = s(s(s(s(z)))))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3240, 1698, 216, 2995, 115, 204, 2975, 545, 178, 1488, 2982, 101, 309])).
% 2.74/3.01 tff(3242,plain,
% 2.74/3.01 (~(s(s(s(s(z)))) = s(elem!1))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[1459, 3241])).
% 2.74/3.01 tff(3243,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3244,plain,
% 2.74/3.01 (((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3245,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))))),
% 2.74/3.01 inference(monotonicity,[status(thm)],[3244])).
% 2.74/3.01 tff(3246,plain,
% 2.74/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1))))),
% 2.74/3.01 inference(transitivity,[status(thm)],[3245, 3243])).
% 2.74/3.01 tff(3247,plain,
% 2.74/3.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.74/3.01 inference(quant_inst,[status(thm)],[])).
% 2.74/3.01 tff(3248,plain,
% 2.74/3.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(elem!1)))),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 2.74/3.01 tff(3249,plain,
% 2.74/3.01 ($false),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3248, 125, 1565, 1672, 135, 411, 1020])).
% 2.74/3.01 tff(3250,plain,((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.01 tff(3251,plain,
% 2.74/3.01 (~r(z, s(elem!1))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3250, 1672, 135, 411, 1020])).
% 2.74/3.01 tff(3252,plain,
% 2.74/3.01 (b(z, s(elem!1))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[1583, 3251])).
% 2.74/3.01 tff(3253,plain,
% 2.74/3.01 (~r(s(elem!1), s(s(s(s(z)))))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[2757, 1672, 135, 411, 1020])).
% 2.74/3.01 tff(3254,plain,
% 2.74/3.01 (b(s(elem!1), s(s(s(s(z)))))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[1526, 3253, 1455])).
% 2.74/3.01 tff(3255,plain,
% 2.74/3.01 (~b(s(s(s(s(z)))), s(elem!1))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[1611, 91, 3252, 3254, 178, 318])).
% 2.74/3.01 tff(3256,plain,
% 2.74/3.01 (r(s(s(s(s(z)))), s(elem!1))),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[1495, 3255, 1460])).
% 2.74/3.01 tff(3257,plain,
% 2.74/3.01 (~r(s(elem!1), z)),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[1486, 3256, 75, 1020, 115])).
% 2.74/3.01 tff(3258,plain,
% 2.74/3.01 (b(s(elem!1), z)),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[1669, 3257])).
% 2.74/3.01 tff(3259,assumption,(b(s(s(s(s(s(z))))), s(elem!1))), introduced(assumption)).
% 2.74/3.01 tff(3260,plain,
% 2.74/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3261,plain,
% 2.74/3.01 (((~b(z, s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.74/3.01 inference(rewrite,[status(thm)],[])).
% 2.74/3.01 tff(3262,plain,
% 2.74/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.74/3.01 inference(monotonicity,[status(thm)],[3261])).
% 2.74/3.01 tff(3263,plain,
% 2.74/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.74/3.01 inference(transitivity,[status(thm)],[3262, 3260])).
% 2.74/3.01 tff(3264,plain,
% 2.74/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.74/3.01 inference(quant_inst,[status(thm)],[])).
% 2.74/3.01 tff(3265,plain,
% 2.74/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z))),
% 2.74/3.01 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 2.74/3.01 tff(3266,plain,
% 2.74/3.01 ($false),
% 2.74/3.01 inference(unit_resolution,[status(thm)],[3265, 91, 1707, 1605, 3259, 79])).
% 2.74/3.01 tff(3267,plain,((~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.02 tff(3268,plain,
% 2.74/3.02 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3267, 3258, 3252, 79])).
% 2.74/3.02 tff(3269,plain,
% 2.74/3.02 (r(s(s(s(s(s(z))))), s(elem!1))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[1718, 3268, 1425])).
% 2.74/3.02 tff(3270,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3271,plain,
% 2.74/3.02 (((~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3272,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1)))))),
% 2.74/3.02 inference(monotonicity,[status(thm)],[3271])).
% 2.74/3.02 tff(3273,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 2.74/3.02 inference(transitivity,[status(thm)],[3272, 3270])).
% 2.74/3.02 tff(3274,plain,
% 2.74/3.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.74/3.02 inference(quant_inst,[status(thm)],[])).
% 2.74/3.02 tff(3275,plain,
% 2.74/3.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1)))),
% 2.74/3.02 inference(modus_ponens,[status(thm)],[3274, 3273])).
% 2.74/3.02 tff(3276,plain,
% 2.74/3.02 ($false),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3275, 125, 410, 3269, 1672, 216, 545])).
% 2.74/3.02 tff(3277,plain,((~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (s(s(s(s(s(z))))) = s(elem!1)) | (~b(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (s(elem!1) = s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.02 tff(3278,plain,
% 2.74/3.02 (s(s(s(s(s(z))))) = s(elem!1)),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3277, 1672, 216, 545, 410, 79, 75, 1020, 115, 178, 318, 1455, 135, 411])).
% 2.74/3.02 tff(3279,plain,
% 2.74/3.02 (r(z, s(s(s(s(s(z)))))) <=> r(z, s(elem!1))),
% 2.74/3.02 inference(monotonicity,[status(thm)],[3278])).
% 2.74/3.02 tff(3280,plain,
% 2.74/3.02 (r(z, s(elem!1)) <=> r(z, s(s(s(s(s(z))))))),
% 2.74/3.02 inference(symmetry,[status(thm)],[3279])).
% 2.74/3.02 tff(3281,plain,
% 2.74/3.02 ((~r(z, s(elem!1))) <=> (~r(z, s(s(s(s(s(z)))))))),
% 2.74/3.02 inference(monotonicity,[status(thm)],[3280])).
% 2.74/3.02 tff(3282,plain,
% 2.74/3.02 (~r(z, s(s(s(s(s(z))))))),
% 2.74/3.02 inference(modus_ponens,[status(thm)],[3251, 3281])).
% 2.74/3.02 tff(3283,plain,
% 2.74/3.02 ($false),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[75, 3282])).
% 2.74/3.02 tff(3284,plain,((~r(s(z), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (s(elem!1) = s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.02 tff(3285,plain,
% 2.74/3.02 (~r(s(z), s(elem!1))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3284, 3241, 216, 1295, 2975, 545, 1205, 115, 178, 1265, 2985, 1203, 2982])).
% 2.74/3.02 tff(3286,plain,
% 2.74/3.02 (~(s(s(s(s(s(s(z)))))) = s(elem!1))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[2714, 1488, 318])).
% 2.74/3.02 tff(3287,plain,
% 2.74/3.02 (~(s(elem!1) = s(s(s(s(s(s(z)))))))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[2707, 3286])).
% 2.74/3.02 tff(3288,assumption,(~r(s(z), s(elem!1))), introduced(assumption)).
% 2.74/3.02 tff(3289,plain,
% 2.74/3.02 (b(s(z), s(elem!1))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[1655, 1705, 3288])).
% 2.74/3.02 tff(3290,assumption,(~b(s(s(s(s(s(z))))), s(z))), introduced(assumption)).
% 2.74/3.02 tff(3291,plain,
% 2.74/3.02 (r(s(s(s(s(s(z))))), s(z))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[394, 3290])).
% 2.74/3.02 tff(3292,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3293,plain,
% 2.74/3.02 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3294,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.74/3.02 inference(monotonicity,[status(thm)],[3293])).
% 2.74/3.02 tff(3295,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/3.02 inference(transitivity,[status(thm)],[3294, 3292])).
% 2.74/3.02 tff(3296,plain,
% 2.74/3.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.74/3.02 inference(quant_inst,[status(thm)],[])).
% 2.74/3.02 tff(3297,plain,
% 2.74/3.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.74/3.02 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 2.74/3.02 tff(3298,plain,
% 2.74/3.02 ($false),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3297, 125, 410, 203, 204, 115, 545])).
% 2.74/3.02 tff(3299,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.74/3.02 tff(3300,plain,
% 2.74/3.02 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3299, 3291, 204, 545, 115])).
% 2.74/3.02 tff(3301,plain,
% 2.74/3.02 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[1313, 3300])).
% 2.74/3.02 tff(3302,plain,
% 2.74/3.02 (~r(s(elem!1), z)),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[1486, 1671, 75, 1020, 115])).
% 2.74/3.02 tff(3303,plain,
% 2.74/3.02 (b(s(elem!1), z)),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[1669, 3302])).
% 2.74/3.02 tff(3304,plain,
% 2.74/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3305,plain,
% 2.74/3.02 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3306,plain,
% 2.74/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1)))))),
% 2.74/3.02 inference(monotonicity,[status(thm)],[3305])).
% 2.74/3.02 tff(3307,plain,
% 2.74/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 2.74/3.02 inference(transitivity,[status(thm)],[3306, 3304])).
% 2.74/3.02 tff(3308,plain,
% 2.74/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 2.74/3.02 inference(quant_inst,[status(thm)],[])).
% 2.74/3.02 tff(3309,plain,
% 2.74/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1)))),
% 2.74/3.02 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 2.74/3.02 tff(3310,plain,
% 2.74/3.02 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3309, 91, 3303, 79, 3301, 3289, 297])).
% 2.74/3.02 tff(3311,plain,
% 2.74/3.02 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[1542, 3310, 3287])).
% 2.74/3.02 tff(3312,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3313,plain,
% 2.74/3.02 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1)))) <=> ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3314,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.74/3.02 inference(monotonicity,[status(thm)],[3313])).
% 2.74/3.02 tff(3315,plain,
% 2.74/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.74/3.02 inference(transitivity,[status(thm)],[3314, 3312])).
% 2.74/3.02 tff(3316,plain,
% 2.74/3.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))))),
% 2.74/3.02 inference(quant_inst,[status(thm)],[])).
% 2.74/3.02 tff(3317,plain,
% 2.74/3.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.74/3.02 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 2.74/3.02 tff(3318,plain,
% 2.74/3.02 (~r(s(s(s(s(s(z))))), s(elem!1))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[3317, 125, 3291, 3311, 216, 545])).
% 2.74/3.02 tff(3319,plain,
% 2.74/3.02 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[2993, 135, 3291, 216, 545])).
% 2.74/3.02 tff(3320,plain,
% 2.74/3.02 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.74/3.02 inference(unit_resolution,[status(thm)],[369, 3319])).
% 2.74/3.02 tff(3321,assumption,(~r(s(s(s(s(s(z))))), s(elem!1))), introduced(assumption)).
% 2.74/3.02 tff(3322,plain,
% 2.74/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(z))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3323,plain,
% 2.74/3.02 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(z))))),
% 2.74/3.02 inference(rewrite,[status(thm)],[])).
% 2.74/3.02 tff(3324,plain,
% 2.74/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(z)))))),
% 2.74/3.02 inference(monotonicity,[status(thm)],[3323])).
% 2.74/3.02 tff(3325,plain,
% 2.74/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(z))))),
% 2.74/3.02 inference(transitivity,[status(thm)],[3324, 3322])).
% 2.74/3.02 tff(3326,plain,
% 2.74/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))))),
% 2.74/3.02 inference(quant_inst,[status(thm)],[])).
% 2.74/3.02 tff(3327,plain,
% 2.74/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(z)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3326, 3325])).
% 2.86/3.03 tff(3328,plain,
% 2.86/3.03 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3327, 91, 1707, 79, 178, 177, 1641])).
% 2.86/3.03 tff(3329,plain,
% 2.86/3.03 (s(s(s(s(s(z))))) = s(elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1718, 3328, 3321])).
% 2.86/3.03 tff(3330,plain,
% 2.86/3.03 (b(s(s(s(s(s(z))))), s(z)) <=> b(s(elem!1), s(z))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3329])).
% 2.86/3.03 tff(3331,plain,
% 2.86/3.03 (b(s(elem!1), s(z)) <=> b(s(s(s(s(s(z))))), s(z))),
% 2.86/3.03 inference(symmetry,[status(thm)],[3330])).
% 2.86/3.03 tff(3332,plain,
% 2.86/3.03 (b(s(s(s(s(s(z))))), s(z))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[1641, 3331])).
% 2.86/3.03 tff(3333,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3290, 3332])).
% 2.86/3.03 tff(3334,plain,((~b(s(elem!1), s(z))) | b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(3335,plain,
% 2.86/3.03 (~b(s(elem!1), s(z))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3334, 3318, 3290, 3303, 79, 178, 177])).
% 2.86/3.03 tff(3336,plain,
% 2.86/3.03 (r(s(elem!1), s(z))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1639, 3335, 1704])).
% 2.86/3.03 tff(3337,plain,
% 2.86/3.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3338,plain,
% 2.86/3.03 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1)))) <=> ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3339,plain,
% 2.86/3.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3338])).
% 2.86/3.03 tff(3340,plain,
% 2.86/3.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))),
% 2.86/3.03 inference(transitivity,[status(thm)],[3339, 3337])).
% 2.86/3.03 tff(3341,plain,
% 2.86/3.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(3342,plain,
% 2.86/3.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 2.86/3.03 tff(3343,plain,
% 2.86/3.03 (~r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3342, 125, 204, 135, 3336, 545])).
% 2.86/3.03 tff(3344,plain,
% 2.86/3.03 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1562, 3343, 3286])).
% 2.86/3.03 tff(3345,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3346,plain,
% 2.86/3.03 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3347,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3346])).
% 2.86/3.03 tff(3348,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.86/3.03 inference(transitivity,[status(thm)],[3347, 3345])).
% 2.86/3.03 tff(3349,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(3350,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3349, 3348])).
% 2.86/3.03 tff(3351,plain,
% 2.86/3.03 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3350, 91, 3303, 178, 3301, 3344, 3320])).
% 2.86/3.03 tff(3352,plain,
% 2.86/3.03 (s(s(s(s(s(z))))) = s(elem!1)),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1718, 3351, 3318])).
% 2.86/3.03 tff(3353,plain,
% 2.86/3.03 (s(s(s(s(s(s(z)))))) = s(s(elem!1))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3352])).
% 2.86/3.03 tff(3354,plain,
% 2.86/3.03 (b(s(z), s(s(s(s(s(s(z))))))) <=> b(s(z), s(s(elem!1)))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3353])).
% 2.86/3.03 tff(3355,plain,
% 2.86/3.03 (b(s(z), s(s(elem!1)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[297, 3354])).
% 2.86/3.03 tff(3356,plain,
% 2.86/3.03 (b(s(s(s(s(s(z))))), s(s(s(s(z))))) <=> b(s(elem!1), s(s(s(s(z)))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3352])).
% 2.86/3.03 tff(3357,plain,
% 2.86/3.03 (b(s(elem!1), s(s(s(s(z)))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3320, 3356])).
% 2.86/3.03 tff(3358,plain,
% 2.86/3.03 (s(s(elem!1)) = s(s(s(s(s(s(z))))))),
% 2.86/3.03 inference(symmetry,[status(thm)],[3353])).
% 2.86/3.03 tff(3359,plain,
% 2.86/3.03 ((s(s(elem!1)) = s(s(z))) <=> (s(s(s(s(s(s(z)))))) = s(s(z)))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3358])).
% 2.86/3.03 tff(3360,plain,
% 2.86/3.03 ((s(s(s(s(s(s(z)))))) = s(s(z))) <=> (s(s(elem!1)) = s(s(z)))),
% 2.86/3.03 inference(symmetry,[status(thm)],[3359])).
% 2.86/3.03 tff(3361,plain,
% 2.86/3.03 ((~(s(s(s(s(s(s(z)))))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(z))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3360])).
% 2.86/3.03 tff(3362,plain,
% 2.86/3.03 (~(s(s(elem!1)) = s(s(z)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[869, 3361])).
% 2.86/3.03 tff(3363,plain,
% 2.86/3.03 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3353])).
% 2.86/3.03 tff(3364,plain,
% 2.86/3.03 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[204, 3363])).
% 2.86/3.03 tff(3365,plain,
% 2.86/3.03 (r(s(s(s(s(s(s(z)))))), s(z)) <=> r(s(s(elem!1)), s(z))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3353])).
% 2.86/3.03 tff(3366,plain,
% 2.86/3.03 (r(s(s(elem!1)), s(z))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[545, 3365])).
% 2.86/3.03 tff(3367,plain,
% 2.86/3.03 (~(s(s(z)) = s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[2354, 3352])).
% 2.86/3.03 tff(3368,plain,
% 2.86/3.03 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3358])).
% 2.86/3.03 tff(3369,plain,
% 2.86/3.03 (r(s(elem!1), s(s(s(s(s(s(z))))))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.86/3.03 inference(symmetry,[status(thm)],[3368])).
% 2.86/3.03 tff(3370,plain,
% 2.86/3.03 (r(s(elem!1), s(s(elem!1)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3311, 3369])).
% 2.86/3.03 tff(3371,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(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(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3372,plain,
% 2.86/3.03 (((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3373,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z))))))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3372])).
% 2.86/3.03 tff(3374,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.03 inference(transitivity,[status(thm)],[3373, 3371])).
% 2.86/3.03 tff(3375,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(3376,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z))))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3375, 3374])).
% 2.86/3.03 tff(3377,plain,
% 2.86/3.03 (~b(z, s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3376, 91, 3303, 178, 316, 3344])).
% 2.86/3.03 tff(3378,plain,
% 2.86/3.03 (r(z, s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[1583, 3377])).
% 2.86/3.03 tff(3379,plain,
% 2.86/3.03 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[2480, 3352, 318])).
% 2.86/3.03 tff(3380,assumption,(r(s(s(elem!1)), s(z))), introduced(assumption)).
% 2.86/3.03 tff(3381,assumption,(~(s(s(elem!1)) = s(s(z)))), introduced(assumption)).
% 2.86/3.03 tff(3382,assumption,(b(z, s(s(z)))), introduced(assumption)).
% 2.86/3.03 tff(3383,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(elem!1), s(s(s(s(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(elem!1), s(s(s(s(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(z)))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3384,plain,
% 2.86/3.03 (((~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z))) <=> ((~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(elem!1), s(s(s(s(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(z)))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3385,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(elem!1), s(s(s(s(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(z))))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3384])).
% 2.86/3.03 tff(3386,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(elem!1), s(s(s(s(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(z)))))),
% 2.86/3.03 inference(transitivity,[status(thm)],[3385, 3383])).
% 2.86/3.03 tff(3387,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z)))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(3388,plain,
% 2.86/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(z))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3387, 3386])).
% 2.86/3.03 tff(3389,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3388, 91, 1707, 3382, 1837, 1519, 178, 3167])).
% 2.86/3.03 tff(3390,plain,((~b(z, s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(3391,plain,
% 2.86/3.03 (~b(z, s(s(z)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3390, 3167, 1837, 1519, 178, 1707])).
% 2.86/3.03 tff(3392,plain,
% 2.86/3.03 ((z = s(s(z))) <=> (s(s(z)) = z)),
% 2.86/3.03 inference(commutativity,[status(thm)],[])).
% 2.86/3.03 tff(3393,plain,
% 2.86/3.03 ((s(s(z)) = z) <=> (z = s(s(z)))),
% 2.86/3.03 inference(symmetry,[status(thm)],[3392])).
% 2.86/3.03 tff(3394,plain,
% 2.86/3.03 ((~(s(s(z)) = z)) <=> (~(z = s(s(z))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3393])).
% 2.86/3.03 tff(3395,plain,
% 2.86/3.03 (~(z = s(s(z)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[49, 3394])).
% 2.86/3.03 tff(3396,plain,
% 2.86/3.03 (((~![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))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3397,plain,
% 2.86/3.03 ((~![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))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(3398,plain,
% 2.86/3.03 ((~![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)))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 2.86/3.03 tff(3399,plain,
% 2.86/3.03 ((z = s(s(z))) | b(z, s(s(z))) | r(z, s(s(z)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3398, 64])).
% 2.86/3.03 tff(3400,plain,
% 2.86/3.03 (b(z, s(s(z))) | r(z, s(s(z)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3399, 3395])).
% 2.86/3.03 tff(3401,plain,
% 2.86/3.03 (r(z, s(s(z)))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3400, 3391])).
% 2.86/3.03 tff(3402,assumption,(r(s(s(z)), s(elem!1))), introduced(assumption)).
% 2.86/3.03 tff(3403,assumption,(r(z, s(s(z)))), introduced(assumption)).
% 2.86/3.03 tff(3404,plain,
% 2.86/3.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3405,plain,
% 2.86/3.03 (((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3406,plain,
% 2.86/3.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 2.86/3.03 inference(monotonicity,[status(thm)],[3405])).
% 2.86/3.03 tff(3407,plain,
% 2.86/3.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.03 inference(transitivity,[status(thm)],[3406, 3404])).
% 2.86/3.03 tff(3408,plain,
% 2.86/3.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(z)))))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(3409,plain,
% 2.86/3.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3408, 3407])).
% 2.86/3.03 tff(3410,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3409, 125, 1565, 3403, 2201, 1376, 3402])).
% 2.86/3.03 tff(3411,plain,((~r(s(s(z)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(z, s(s(z)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(3412,plain,
% 2.86/3.03 (~r(s(s(z)), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3411, 3401, 1565, 2201, 1376])).
% 2.86/3.03 tff(3413,assumption,(~r(s(s(z)), s(elem!1))), introduced(assumption)).
% 2.86/3.03 tff(3414,assumption,(~b(s(s(z)), s(elem!1))), introduced(assumption)).
% 2.86/3.03 tff(3415,plain,
% 2.86/3.03 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(elem!1)) | b(s(s(z)), s(elem!1)) | r(s(s(z)), s(elem!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(elem!1)) | b(s(s(z)), s(elem!1)) | r(s(s(z)), s(elem!1)))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.03 tff(3416,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(z)) = s(elem!1)) | b(s(s(z)), s(elem!1)) | r(s(s(z)), s(elem!1)))),
% 2.86/3.03 inference(quant_inst,[status(thm)],[])).
% 2.86/3.03 tff(3417,plain,
% 2.86/3.03 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(elem!1)) | b(s(s(z)), s(elem!1)) | r(s(s(z)), s(elem!1))),
% 2.86/3.03 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 2.86/3.03 tff(3418,plain,
% 2.86/3.03 ($false),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3417, 64, 3414, 2358, 3413])).
% 2.86/3.03 tff(3419,plain,(r(s(s(z)), s(elem!1)) | b(s(s(z)), s(elem!1)) | (s(s(z)) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.03 tff(3420,plain,
% 2.86/3.03 (b(s(s(z)), s(elem!1))),
% 2.86/3.03 inference(unit_resolution,[status(thm)],[3419, 3412, 2358])).
% 2.86/3.03 tff(3421,plain,
% 2.86/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), 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(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 2.86/3.03 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3422,plain,
% 2.86/3.04 (((~b(s(s(z)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), 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(s(z)))), s(z))) | (~b(s(s(z)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3423,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), 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(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z))))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[3422])).
% 2.86/3.04 tff(3424,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), 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(X1, 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(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[3423, 3421])).
% 2.86/3.04 tff(3425,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), 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))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(3426,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z))))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 2.86/3.04 tff(3427,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3426, 91, 3420, 1837, 177, 1642, 1737, 3167])).
% 2.86/3.04 tff(3428,plain,((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (s(s(z)) = s(elem!1)) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(3429,plain,
% 2.86/3.04 (~b(s(s(elem!1)), s(s(z)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3428, 1376, 177, 1642, 1737, 2358, 1565, 2201, 1837, 1519, 178, 1707])).
% 2.86/3.04 tff(3430,plain,
% 2.86/3.04 (r(s(s(elem!1)), s(s(z)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[2507, 3429, 3381])).
% 2.86/3.04 tff(3431,plain,
% 2.86/3.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~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)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~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)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3432,plain,
% 2.86/3.04 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z))))) <=> ((~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)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3433,plain,
% 2.86/3.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~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)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(s(z))))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[3432])).
% 2.86/3.04 tff(3434,plain,
% 2.86/3.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~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)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[3433, 3431])).
% 2.86/3.04 tff(3435,plain,
% 2.86/3.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z)))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(3436,plain,
% 2.86/3.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(s(z))))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[3435, 3434])).
% 2.86/3.04 tff(3437,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3436, 125, 2613, 135, 3380, 3180, 2446])).
% 2.86/3.04 tff(3438,plain,((~r(s(s(z)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(3439,plain,
% 2.86/3.04 (~r(s(s(z)), s(z))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3438, 3430, 135, 3380, 2613])).
% 2.86/3.04 tff(3440,plain,
% 2.86/3.04 (b(s(s(z)), s(z))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[855, 64, 852, 3439])).
% 2.86/3.04 tff(3441,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3442,plain,
% 2.86/3.04 (((~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3443,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z)))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[3442])).
% 2.86/3.04 tff(3444,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[3443, 3441])).
% 2.86/3.04 tff(3445,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(3446,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z)))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[3445, 3444])).
% 2.86/3.04 tff(3447,plain,
% 2.86/3.04 (~b(s(s(z)), z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3446, 91, 1519, 429, 178, 1642, 3440])).
% 2.86/3.04 tff(3448,plain,
% 2.86/3.04 (r(s(s(z)), z)),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[898, 3447])).
% 2.86/3.04 tff(3449,plain,
% 2.86/3.04 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[2417, 125, 1565, 1478, 1020, 3448])).
% 2.86/3.04 tff(3450,plain,
% 2.86/3.04 (b(s(s(s(s(z)))), s(s(z)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[938, 3449])).
% 2.86/3.04 tff(3451,assumption,(b(s(s(z)), s(z))), introduced(assumption)).
% 2.86/3.04 tff(3452,assumption,(b(s(s(z)), s(elem!1))), introduced(assumption)).
% 2.86/3.04 tff(3453,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(elem!1))) | (~b(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(elem!1))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(elem!1))) | (~b(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(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3454,plain,
% 2.86/3.04 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(elem!1))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(elem!1))) | (~b(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(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3455,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(elem!1))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(elem!1))) | (~b(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(elem!1))) | (~b(s(s(z)), s(z)))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[3454])).
% 2.86/3.04 tff(3456,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(elem!1))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(elem!1))) | (~b(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(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[3455, 3453])).
% 2.86/3.04 tff(3457,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(elem!1))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(3458,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(z)))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 2.86/3.04 tff(3459,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3458, 91, 3452, 1837, 1519, 1642, 1737, 3451])).
% 2.86/3.04 tff(3460,plain,((~b(s(s(z)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(3461,plain,
% 2.86/3.04 (~b(s(s(z)), s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3460, 3440, 1519, 1642, 1737, 1837])).
% 2.86/3.04 tff(3462,plain,
% 2.86/3.04 (r(s(s(z)), s(elem!1))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3419, 3461, 2358])).
% 2.86/3.04 tff(3463,plain,
% 2.86/3.04 (~r(z, s(s(z)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3411, 3462, 1565, 2201, 1376])).
% 2.86/3.04 tff(3464,plain,
% 2.86/3.04 (b(z, s(s(z)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3400, 3463])).
% 2.86/3.04 tff(3465,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3466,plain,
% 2.86/3.04 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(z)), 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(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3467,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z)))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[3466])).
% 2.86/3.04 tff(3468,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z))))),
% 2.86/3.04 inference(transitivity,[status(thm)],[3467, 3465])).
% 2.86/3.04 tff(3469,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.04 inference(quant_inst,[status(thm)],[])).
% 2.86/3.04 tff(3470,plain,
% 2.86/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(z)), s(z)))),
% 2.86/3.04 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 2.86/3.04 tff(3471,plain,
% 2.86/3.04 ($false),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3470, 91, 3464, 1837, 178, 3450, 1737, 3440])).
% 2.86/3.04 tff(3472,plain,((~r(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (s(s(z)) = s(elem!1)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (s(s(elem!1)) = s(s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.04 tff(3473,plain,
% 2.86/3.04 (~r(z, s(s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[3472, 3379, 178, 3355, 3378, 3370, 3367, 3357, 3289, 1671, 1020, 429, 135, 3366, 3364, 3362, 177, 3303])).
% 2.86/3.04 tff(3474,plain,
% 2.86/3.04 (b(z, s(s(elem!1)))),
% 2.86/3.04 inference(unit_resolution,[status(thm)],[2271, 3473])).
% 2.86/3.04 tff(3475,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3476,plain,
% 2.86/3.04 (((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))))),
% 2.86/3.04 inference(rewrite,[status(thm)],[])).
% 2.86/3.04 tff(3477,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1))))))),
% 2.86/3.04 inference(monotonicity,[status(thm)],[3476])).
% 2.86/3.04 tff(3478,plain,
% 2.86/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))))),
% 2.86/3.05 inference(transitivity,[status(thm)],[3477, 3475])).
% 2.86/3.05 tff(3479,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(elem!1), z)))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(3480,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(elem!1), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(s(elem!1))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 2.86/3.05 tff(3481,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3480, 91, 3303, 3474, 3357, 178, 177, 3355])).
% 2.86/3.05 tff(3482,plain,(b(s(s(s(s(z)))), s(elem!1)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(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)))))), z)) | b(s(s(s(s(s(z))))), s(z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | r(s(z), s(elem!1)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (s(s(s(s(z)))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3483,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3482, 3285, 3242, 177, 1205, 429, 178, 2975, 2984, 204, 1265, 545, 2977, 1295, 216, 2980, 1203, 115, 1488])).
% 2.86/3.05 tff(3484,plain,(b(s(s(s(s(z)))), s(elem!1)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | b(z, s(s(s(s(s(z)))))) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3485,plain,
% 2.86/3.05 (b(s(s(s(s(z)))), s(elem!1))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3484, 545, 2944, 317, 70, 177, 216, 1204, 101, 309])).
% 2.86/3.05 tff(3486,plain,
% 2.86/3.05 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1276, 545, 70, 1205, 1263])).
% 2.86/3.05 tff(3487,plain,
% 2.86/3.05 (b(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[763, 3486])).
% 2.86/3.05 tff(3488,plain,
% 2.86/3.05 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2969, 545, 1263, 1204, 70])).
% 2.86/3.05 tff(3489,plain,
% 2.86/3.05 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1313, 3488])).
% 2.86/3.05 tff(3490,plain,
% 2.86/3.05 (~b(s(s(s(s(s(z))))), s(z))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1158, 3489, 317, 177, 2961, 3487])).
% 2.86/3.05 tff(3491,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(z))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[394, 3490])).
% 2.86/3.05 tff(3492,plain,
% 2.86/3.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2993, 3491, 1263, 216, 545])).
% 2.86/3.05 tff(3493,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(3494,plain,
% 2.86/3.05 (((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(3495,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z))))))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3494])).
% 2.86/3.05 tff(3496,plain,
% 2.86/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.05 inference(transitivity,[status(thm)],[3495, 3493])).
% 2.86/3.05 tff(3497,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(3498,plain,
% 2.86/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z))))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 2.86/3.05 tff(3499,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3498, 91, 3259, 79, 178, 348, 316, 1506])).
% 2.86/3.05 tff(3500,plain,((~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3501,plain,
% 2.86/3.05 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3500, 3489, 317, 2961, 3487, 3485])).
% 2.86/3.05 tff(3502,plain,
% 2.86/3.05 (b(s(s(s(s(z)))), s(s(s(s(s(z)))))) <=> b(s(s(s(s(z)))), s(elem!1))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1389])).
% 2.86/3.05 tff(3503,plain,
% 2.86/3.05 (b(s(s(s(s(z)))), s(elem!1)) <=> b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.05 inference(symmetry,[status(thm)],[3502])).
% 2.86/3.05 tff(3504,plain,
% 2.86/3.05 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1506, 3503])).
% 2.86/3.05 tff(3505,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[684, 3504])).
% 2.86/3.05 tff(3506,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | b(s(s(s(s(z)))), s(s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3507,plain,
% 2.86/3.05 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3506, 3485, 684])).
% 2.86/3.05 tff(3508,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(elem!1))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1718, 3507, 3501])).
% 2.86/3.05 tff(3509,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(s(s(s(z))))) <=> r(s(s(s(s(s(z))))), s(elem!1))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1976])).
% 2.86/3.05 tff(3510,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(elem!1)) <=> r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.05 inference(symmetry,[status(thm)],[3509])).
% 2.86/3.05 tff(3511,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1816, 3510])).
% 2.86/3.05 tff(3512,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[358, 3511])).
% 2.86/3.05 tff(3513,plain,(r(s(s(s(s(s(z))))), s(s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3514,plain,
% 2.86/3.05 (~(s(elem!1) = s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3513, 3508, 3492])).
% 2.86/3.05 tff(3515,plain,
% 2.86/3.05 (~r(s(z), s(elem!1))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3284, 3514, 216, 2961, 1263, 545, 1205, 1204, 317, 1207, 3491, 1203, 2946])).
% 2.86/3.05 tff(3516,plain,
% 2.86/3.05 (s(z) = s(elem!1)),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1514, 1507])).
% 2.86/3.05 tff(3517,assumption,(~b(s(z), z)), introduced(assumption)).
% 2.86/3.05 tff(3518,plain,
% 2.86/3.05 (r(s(z), s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[563, 1476])).
% 2.86/3.05 tff(3519,plain,
% 2.86/3.05 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1276, 545, 70, 1205, 3518])).
% 2.86/3.05 tff(3520,plain,
% 2.86/3.05 (b(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[763, 3519])).
% 2.86/3.05 tff(3521,plain,
% 2.86/3.05 (r(s(z), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[408, 3517])).
% 2.86/3.05 tff(3522,plain,
% 2.86/3.05 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2666, 125, 70, 3518, 3521, 1205])).
% 2.86/3.05 tff(3523,plain,
% 2.86/3.05 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[295, 3522])).
% 2.86/3.05 tff(3524,plain,
% 2.86/3.05 (~b(s(elem!1), s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1521, 1514, 1476])).
% 2.86/3.05 tff(3525,plain,
% 2.86/3.05 (r(s(elem!1), s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1526, 3524, 1455])).
% 2.86/3.05 tff(3526,plain,
% 2.86/3.05 (elem!1 = z),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1703, 1514])).
% 2.86/3.05 tff(3527,plain,
% 2.86/3.05 (b(elem!1, s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1795, 3526, 169])).
% 2.86/3.05 tff(3528,plain,
% 2.86/3.05 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[2038])).
% 2.86/3.05 tff(3529,plain,
% 2.86/3.05 (b(elem!1, s(s(s(s(z))))) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.86/3.05 inference(symmetry,[status(thm)],[3528])).
% 2.86/3.05 tff(3530,plain,
% 2.86/3.05 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1836, 3529])).
% 2.86/3.05 tff(3531,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1, 3530])).
% 2.86/3.05 tff(3532,plain,((~(s(s(s(s(s(s(z)))))) = elem!1)) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~b(elem!1, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3533,plain,
% 2.86/3.05 (~(s(s(s(s(s(s(z)))))) = elem!1)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3532, 3527, 1])).
% 2.86/3.05 tff(3534,plain,
% 2.86/3.05 (~(elem!1 = s(s(s(s(s(s(z)))))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2052, 3533])).
% 2.86/3.05 tff(3535,plain,
% 2.86/3.05 (b(s(z), s(s(s(s(s(s(z))))))) <=> b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1497])).
% 2.86/3.05 tff(3536,plain,
% 2.86/3.05 (b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[297, 3535])).
% 2.86/3.05 tff(3537,plain,
% 2.86/3.05 (s(s(z)) = s(s(elem!1))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1497])).
% 2.86/3.05 tff(3538,plain,
% 2.86/3.05 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(s(s(z)))) = s(s(elem!1)))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3537])).
% 2.86/3.05 tff(3539,plain,
% 2.86/3.05 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(s(s(z)))) = s(s(elem!1))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3538])).
% 2.86/3.05 tff(3540,plain,
% 2.86/3.05 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[51, 3539])).
% 2.86/3.05 tff(3541,plain,
% 2.86/3.05 (r(s(elem!1), elem!1) <=> r(s(elem!1), z)),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1771])).
% 2.86/3.05 tff(3542,plain,
% 2.86/3.05 (r(s(elem!1), z) <=> r(s(elem!1), elem!1)),
% 2.86/3.05 inference(symmetry,[status(thm)],[3541])).
% 2.86/3.05 tff(3543,plain,
% 2.86/3.05 (b(s(elem!1), z) <=> b(s(z), z)),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1514])).
% 2.86/3.05 tff(3544,plain,
% 2.86/3.05 (b(s(z), z) <=> b(s(elem!1), z)),
% 2.86/3.05 inference(symmetry,[status(thm)],[3543])).
% 2.86/3.05 tff(3545,plain,
% 2.86/3.05 ((~b(s(z), z)) <=> (~b(s(elem!1), z))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3544])).
% 2.86/3.05 tff(3546,plain,
% 2.86/3.05 (~b(s(elem!1), z)),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[3517, 3545])).
% 2.86/3.05 tff(3547,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1707, 3546])).
% 2.86/3.05 tff(3548,plain,((~(s(elem!1) = s(z))) | (~b(s(elem!1), z)) | b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3549,plain,
% 2.86/3.05 (~b(s(elem!1), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3548, 1513, 3517])).
% 2.86/3.05 tff(3550,plain,
% 2.86/3.05 (r(s(elem!1), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1669, 3549])).
% 2.86/3.05 tff(3551,plain,
% 2.86/3.05 (r(s(elem!1), elem!1)),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[3550, 3542])).
% 2.86/3.05 tff(3552,plain,
% 2.86/3.05 (r(s(s(s(s(z)))), elem!1)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2547, 1886, 309])).
% 2.86/3.05 tff(3553,plain,
% 2.86/3.05 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(s(s(z)))))),
% 2.86/3.05 inference(transitivity,[status(thm)],[3538, 2568])).
% 2.86/3.05 tff(3554,plain,
% 2.86/3.05 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(s(s(z))))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3553])).
% 2.86/3.05 tff(3555,plain,
% 2.86/3.05 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[51, 3554])).
% 2.86/3.05 tff(3556,plain,
% 2.86/3.05 ((s(z) = s(s(elem!1))) <=> (s(elem!1) = s(s(elem!1)))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1497])).
% 2.86/3.05 tff(3557,plain,
% 2.86/3.05 ((~(s(z) = s(s(elem!1)))) <=> (~(s(elem!1) = s(s(elem!1))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3556])).
% 2.86/3.05 tff(3558,plain,
% 2.86/3.05 (~(s(elem!1) = s(s(elem!1)))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1335, 3557])).
% 2.86/3.05 tff(3559,plain,
% 2.86/3.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2993, 135, 410, 216, 545])).
% 2.86/3.05 tff(3560,plain,
% 2.86/3.05 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[369, 3559])).
% 2.86/3.05 tff(3561,plain,
% 2.86/3.05 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3299, 410, 204, 545, 115])).
% 2.86/3.05 tff(3562,plain,
% 2.86/3.05 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1313, 3561])).
% 2.86/3.05 tff(3563,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(z)) <=> r(s(s(s(s(s(z))))), s(elem!1))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1497])).
% 2.86/3.05 tff(3564,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(elem!1))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[410, 3563])).
% 2.86/3.05 tff(3565,plain,
% 2.86/3.05 (r(s(s(s(s(s(s(z)))))), s(elem!1)) <=> r(s(s(s(s(s(s(z)))))), s(z))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1514])).
% 2.86/3.05 tff(3566,plain,
% 2.86/3.05 (r(s(s(s(s(s(s(z)))))), s(z)) <=> r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.86/3.05 inference(symmetry,[status(thm)],[3565])).
% 2.86/3.05 tff(3567,plain,
% 2.86/3.05 (r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[545, 3566])).
% 2.86/3.05 tff(3568,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1557, 3567])).
% 2.86/3.05 tff(3569,plain,((~(s(elem!1) = s(z))) | r(s(s(s(s(s(s(z)))))), s(elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3570,plain,
% 2.86/3.05 (r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3569, 1513, 545])).
% 2.86/3.05 tff(3571,plain,
% 2.86/3.05 (~r(s(s(elem!1)), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1862, 1854, 75, 1020, 115])).
% 2.86/3.05 tff(3572,plain,
% 2.86/3.05 (b(s(s(elem!1)), z)),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1872, 3571])).
% 2.86/3.05 tff(3573,plain,
% 2.86/3.05 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2580, 1693])).
% 2.86/3.05 tff(3574,plain,
% 2.86/3.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(3575,plain,
% 2.86/3.05 (((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(3576,plain,
% 2.86/3.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3575])).
% 2.86/3.05 tff(3577,plain,
% 2.86/3.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.86/3.05 inference(transitivity,[status(thm)],[3576, 3574])).
% 2.86/3.05 tff(3578,plain,
% 2.86/3.05 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(3579,plain,
% 2.86/3.05 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 2.86/3.05 tff(3580,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3579, 125, 1854, 1404, 204, 135, 545])).
% 2.86/3.05 tff(3581,plain,((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3582,plain,
% 2.86/3.05 (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3581, 1854, 204, 135, 545])).
% 2.86/3.05 tff(3583,plain,
% 2.86/3.05 (b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1453, 3582, 3573])).
% 2.86/3.05 tff(3584,plain,
% 2.86/3.05 (~b(s(s(s(s(s(z))))), s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1879, 91, 3583, 178, 348, 3572, 349])).
% 2.86/3.05 tff(3585,plain,
% 2.86/3.05 (r(s(s(s(s(s(z))))), s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[1884, 64, 1881, 3584])).
% 2.86/3.05 tff(3586,assumption,(b(s(s(elem!1)), z)), introduced(assumption)).
% 2.86/3.05 tff(3587,plain,
% 2.86/3.05 (b(elem!1, s(s(elem!1))) <=> b(z, s(s(elem!1)))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1693])).
% 2.86/3.05 tff(3588,plain,
% 2.86/3.05 ((elem!1 = s(s(elem!1))) <=> (z = s(s(elem!1)))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[1693])).
% 2.86/3.05 tff(3589,plain,
% 2.86/3.05 ((elem!1 = s(s(elem!1))) <=> (s(s(elem!1)) = z)),
% 2.86/3.05 inference(transitivity,[status(thm)],[3588, 2263])).
% 2.86/3.05 tff(3590,plain,
% 2.86/3.05 ((s(s(elem!1)) = z) <=> (elem!1 = s(s(elem!1)))),
% 2.86/3.05 inference(symmetry,[status(thm)],[3589])).
% 2.86/3.05 tff(3591,plain,
% 2.86/3.05 ((~(s(s(elem!1)) = z)) <=> (~(elem!1 = s(s(elem!1))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3590])).
% 2.86/3.05 tff(3592,plain,
% 2.86/3.05 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[1867, 3591])).
% 2.86/3.05 tff(3593,assumption,(r(elem!1, s(s(elem!1)))), introduced(assumption)).
% 2.86/3.05 tff(3594,plain,
% 2.86/3.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(3595,plain,
% 2.86/3.05 (((~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(z))))))) <=> ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.86/3.05 inference(rewrite,[status(thm)],[])).
% 2.86/3.05 tff(3596,plain,
% 2.86/3.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z))))))))),
% 2.86/3.05 inference(monotonicity,[status(thm)],[3595])).
% 2.86/3.05 tff(3597,plain,
% 2.86/3.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.86/3.05 inference(transitivity,[status(thm)],[3596, 3594])).
% 2.86/3.05 tff(3598,plain,
% 2.86/3.05 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 2.86/3.05 inference(quant_inst,[status(thm)],[])).
% 2.86/3.05 tff(3599,plain,
% 2.86/3.05 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z))))))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 2.86/3.05 tff(3600,plain,
% 2.86/3.05 ($false),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3599, 125, 2202, 3593, 2201, 2554, 1589])).
% 2.86/3.05 tff(3601,plain,((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.05 tff(3602,plain,
% 2.86/3.05 (~r(elem!1, s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[3601, 2201, 2554, 1589, 2202])).
% 2.86/3.05 tff(3603,plain,
% 2.86/3.05 (b(elem!1, s(s(elem!1)))),
% 2.86/3.05 inference(unit_resolution,[status(thm)],[2105, 3602, 3592])).
% 2.86/3.05 tff(3604,plain,
% 2.86/3.05 (b(z, s(s(elem!1)))),
% 2.86/3.05 inference(modus_ponens,[status(thm)],[3603, 3587])).
% 2.86/3.06 tff(3605,plain,
% 2.86/3.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3606,plain,
% 2.86/3.06 (((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(elem!1))))) <=> ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3607,plain,
% 2.86/3.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[3606])).
% 2.86/3.06 tff(3608,plain,
% 2.86/3.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 2.86/3.06 inference(transitivity,[status(thm)],[3607, 3605])).
% 2.86/3.06 tff(3609,plain,
% 2.86/3.06 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(elem!1)))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(3610,plain,
% 2.86/3.06 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 2.86/3.06 tff(3611,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3610, 125, 1854, 2613, 2201, 1589])).
% 2.86/3.06 tff(3612,plain,((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(3613,plain,
% 2.86/3.06 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3612, 2201, 1589, 1854])).
% 2.86/3.06 tff(3614,plain,
% 2.86/3.06 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[2601, 3613, 2590])).
% 2.86/3.06 tff(3615,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3616,plain,
% 2.86/3.06 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(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(elem!1)), z))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3617,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(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(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[3616])).
% 2.86/3.06 tff(3618,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(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(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 2.86/3.06 inference(transitivity,[status(thm)],[3617, 3615])).
% 2.86/3.06 tff(3619,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(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(elem!1)), z)))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(3620,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), z))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[3619, 3618])).
% 2.86/3.06 tff(3621,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3620, 91, 3614, 1757, 3604, 178, 318, 3586])).
% 2.86/3.06 tff(3622,plain,((~r(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), z)) | (~(elem!1 = z)) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), elem!1))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(3623,plain,
% 2.86/3.06 (~r(s(elem!1), s(s(elem!1)))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3622, 3583, 178, 318, 3572, 1693, 2590, 1589, 1854, 2554, 2202])).
% 2.86/3.06 tff(3624,plain,
% 2.86/3.06 (b(s(elem!1), s(s(elem!1)))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[2905, 3623, 1905])).
% 2.86/3.06 tff(3625,assumption,(b(s(s(elem!1)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.86/3.06 tff(3626,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(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(s(s(z)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(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(s(s(z)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3627,plain,
% 2.86/3.06 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(s(s(z))))))))) <=> ((~b(s(s(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(s(s(z)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3628,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(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(s(s(z)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z))))))))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[3627])).
% 2.86/3.06 tff(3629,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(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(s(s(z)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))))),
% 2.86/3.06 inference(transitivity,[status(thm)],[3628, 3626])).
% 2.86/3.06 tff(3630,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(s(s(z)))))))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(3631,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(s(s(s(s(s(z))))))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 2.86/3.06 tff(3632,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3631, 91, 1757, 1835, 1545, 3625])).
% 2.86/3.06 tff(3633,plain,((~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(3634,plain,
% 2.86/3.06 (~b(s(s(elem!1)), s(s(s(s(s(s(z)))))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3633, 3624, 1545, 3583])).
% 2.86/3.06 tff(3635,assumption,(s(s(elem!1)) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 2.86/3.06 tff(3636,plain,
% 2.86/3.06 (s(s(s(s(s(s(z)))))) = s(s(elem!1))),
% 2.86/3.06 inference(symmetry,[status(thm)],[3635])).
% 2.86/3.06 tff(3637,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[2603, 3636])).
% 2.86/3.06 tff(3638,plain,((~(s(s(elem!1)) = s(s(s(s(s(s(z)))))))) | (s(s(s(s(s(s(z)))))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(3639,plain,
% 2.86/3.06 (~(s(s(elem!1)) = s(s(s(s(s(s(z)))))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3638, 3573])).
% 2.86/3.06 tff(3640,plain,
% 2.86/3.06 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(s(s(z))))))) | b(s(s(elem!1)), s(s(s(s(s(s(z))))))) | r(s(s(elem!1)), s(s(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(s(s(z))))))) | b(s(s(elem!1)), s(s(s(s(s(s(z))))))) | r(s(s(elem!1)), s(s(s(s(s(s(z))))))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3641,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(elem!1)) = s(s(s(s(s(s(z))))))) | b(s(s(elem!1)), s(s(s(s(s(s(z))))))) | r(s(s(elem!1)), s(s(s(s(s(s(z))))))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(3642,plain,
% 2.86/3.06 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(elem!1)) = s(s(s(s(s(s(z))))))) | b(s(s(elem!1)), s(s(s(s(s(s(z))))))) | r(s(s(elem!1)), s(s(s(s(s(s(z)))))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 2.86/3.06 tff(3643,plain,
% 2.86/3.06 (r(s(s(elem!1)), s(s(s(s(s(s(z)))))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3642, 64, 3639, 3634])).
% 2.86/3.06 tff(3644,plain,
% 2.86/3.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3645,plain,
% 2.86/3.06 (((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3646,plain,
% 2.86/3.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[3645])).
% 2.86/3.06 tff(3647,plain,
% 2.86/3.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.86/3.06 inference(transitivity,[status(thm)],[3646, 3644])).
% 2.86/3.06 tff(3648,plain,
% 2.86/3.06 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(3649,plain,
% 2.86/3.06 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(elem!1)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 2.86/3.06 tff(3650,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3649, 125, 1564, 1816, 216, 3643, 3585])).
% 2.86/3.06 tff(3651,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (s(s(s(s(s(z))))) = s(s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (s(elem!1) = s(s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~(elem!1 = z)) | (s(s(elem!1)) = s(s(s(s(z))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), elem!1)) | (~r(s(elem!1), elem!1)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(3652,plain,
% 2.86/3.06 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3651, 3570, 3564, 216, 1881, 317, 3562, 3560, 3536, 3558, 318, 1771, 3555, 1589, 3552, 3551, 204, 135, 545, 75, 1205, 115])).
% 2.86/3.06 tff(3653,plain,
% 2.86/3.06 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1851, 3652, 3540])).
% 2.86/3.06 tff(3654,plain,
% 2.86/3.06 ((elem!1 = s(s(elem!1))) <=> (z = s(s(elem!1)))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1771])).
% 2.86/3.06 tff(3655,plain,
% 2.86/3.06 ((elem!1 = s(s(elem!1))) <=> (s(s(elem!1)) = z)),
% 2.86/3.06 inference(transitivity,[status(thm)],[3654, 2263])).
% 2.86/3.06 tff(3656,plain,
% 2.86/3.06 ((s(s(elem!1)) = z) <=> (elem!1 = s(s(elem!1)))),
% 2.86/3.06 inference(symmetry,[status(thm)],[3655])).
% 2.86/3.06 tff(3657,plain,
% 2.86/3.06 ((~(s(s(elem!1)) = z)) <=> (~(elem!1 = s(s(elem!1))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[3656])).
% 2.86/3.06 tff(3658,plain,
% 2.86/3.06 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[1867, 3657])).
% 2.86/3.06 tff(3659,assumption,(~(elem!1 = s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.86/3.06 tff(3660,plain,
% 2.86/3.06 (b(s(s(s(s(s(s(z)))))), z) <=> b(s(s(s(s(s(s(z)))))), elem!1)),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1781])).
% 2.86/3.06 tff(3661,plain,
% 2.86/3.06 (b(s(s(s(s(s(s(z)))))), elem!1)),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[316, 3660])).
% 2.86/3.06 tff(3662,assumption,(~b(s(s(s(s(s(s(z)))))), elem!1)), introduced(assumption)).
% 2.86/3.06 tff(3663,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3662, 3661])).
% 2.86/3.06 tff(3664,plain,((~b(s(s(s(s(s(s(z)))))), z)) | b(s(s(s(s(s(s(z)))))), elem!1) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(3665,plain,
% 2.86/3.06 (b(s(s(s(s(s(s(z)))))), elem!1)),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3664, 1771, 316])).
% 2.86/3.06 tff(3666,plain,
% 2.86/3.06 (b(s(s(s(s(s(z))))), elem!1) <=> b(s(s(s(s(s(z))))), z)),
% 2.86/3.06 inference(monotonicity,[status(thm)],[1771])).
% 2.86/3.06 tff(3667,plain,
% 2.86/3.06 (b(s(s(s(s(s(z))))), z) <=> b(s(s(s(s(s(z))))), elem!1)),
% 2.86/3.06 inference(symmetry,[status(thm)],[3666])).
% 2.86/3.06 tff(3668,plain,
% 2.86/3.06 (b(s(s(s(s(s(z))))), elem!1)),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[79, 3667])).
% 2.86/3.06 tff(3669,assumption,(b(s(s(s(s(s(z))))), elem!1)), introduced(assumption)).
% 2.86/3.06 tff(3670,assumption,(b(s(s(s(s(s(s(z)))))), elem!1)), introduced(assumption)).
% 2.86/3.06 tff(3671,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3672,plain,
% 2.86/3.06 (((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 2.86/3.06 inference(rewrite,[status(thm)],[])).
% 2.86/3.06 tff(3673,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1))))),
% 2.86/3.06 inference(monotonicity,[status(thm)],[3672])).
% 2.86/3.06 tff(3674,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 2.86/3.06 inference(transitivity,[status(thm)],[3673, 3671])).
% 2.86/3.06 tff(3675,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.86/3.06 inference(quant_inst,[status(thm)],[])).
% 2.86/3.06 tff(3676,plain,
% 2.86/3.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 2.86/3.06 tff(3677,plain,
% 2.86/3.06 ($false),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3676, 91, 1838, 3670, 3669, 348])).
% 2.86/3.06 tff(3678,plain,((~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.06 tff(3679,plain,
% 2.86/3.06 (~b(elem!1, s(s(s(s(s(s(z)))))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[3678, 3668, 3562, 3665])).
% 2.86/3.06 tff(3680,plain,
% 2.86/3.06 (r(elem!1, s(s(s(s(s(s(z)))))))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[1833, 3679, 3659])).
% 2.86/3.06 tff(3681,plain,
% 2.86/3.06 (r(z, s(s(s(s(s(s(z)))))))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[3680, 1813])).
% 2.86/3.06 tff(3682,plain,
% 2.86/3.06 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 2.86/3.06 inference(unit_resolution,[status(thm)],[2580, 1771])).
% 2.86/3.06 tff(3683,plain,
% 2.86/3.06 (b(z, s(elem!1))),
% 2.86/3.06 inference(modus_ponens,[status(thm)],[429, 1498])).
% 2.86/3.06 tff(3684,plain,
% 2.86/3.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3685,plain,
% 2.86/3.07 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(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(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3686,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[3685])).
% 2.86/3.07 tff(3687,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[3686, 3684])).
% 2.86/3.07 tff(3688,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(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)))))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(3689,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[3688, 3687])).
% 2.86/3.07 tff(3690,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3689, 91, 1605, 1837, 1757, 178, 1545, 1506])).
% 2.86/3.07 tff(3691,plain,((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3692,plain,
% 2.86/3.07 (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3691, 3683, 3653, 317, 3536, 1506])).
% 2.86/3.07 tff(3693,plain,
% 2.86/3.07 (r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1453, 3692, 3682])).
% 2.86/3.07 tff(3694,plain,
% 2.86/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3695,plain,
% 2.86/3.07 (((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3696,plain,
% 2.86/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[3695])).
% 2.86/3.07 tff(3697,plain,
% 2.86/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[3696, 3694])).
% 2.86/3.07 tff(3698,plain,
% 2.86/3.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(3699,plain,
% 2.86/3.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 2.86/3.07 tff(3700,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3699, 125, 75, 215, 1404, 1376, 216])).
% 2.86/3.07 tff(3701,plain,((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3702,plain,
% 2.86/3.07 (~r(z, s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3701, 3693, 3681, 75, 216])).
% 2.86/3.07 tff(3703,plain,
% 2.86/3.07 (b(z, s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2271, 3702])).
% 2.86/3.07 tff(3704,plain,
% 2.86/3.07 (~b(s(elem!1), s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2900, 3703, 79, 317, 1506, 3560])).
% 2.86/3.07 tff(3705,plain,
% 2.86/3.07 (r(s(elem!1), s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2905, 3704, 3558])).
% 2.86/3.07 tff(3706,plain,
% 2.86/3.07 (~r(elem!1, s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3601, 3705, 3552, 1589, 3551])).
% 2.86/3.07 tff(3707,plain,
% 2.86/3.07 (b(elem!1, s(s(elem!1)))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[2105, 3706, 3658])).
% 2.86/3.07 tff(3708,plain,
% 2.86/3.07 ((s(elem!1) = s(s(elem!1))) <=> (s(s(elem!1)) = s(elem!1))),
% 2.86/3.07 inference(symmetry,[status(thm)],[1903])).
% 2.86/3.07 tff(3709,plain,
% 2.86/3.07 ((s(z) = s(s(elem!1))) <=> (s(s(elem!1)) = s(elem!1))),
% 2.86/3.07 inference(transitivity,[status(thm)],[3556, 3708])).
% 2.86/3.07 tff(3710,plain,
% 2.86/3.07 ((~(s(z) = s(s(elem!1)))) <=> (~(s(s(elem!1)) = s(elem!1)))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[3709])).
% 2.86/3.07 tff(3711,plain,
% 2.86/3.07 (~(s(s(elem!1)) = s(elem!1))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[1335, 3710])).
% 2.86/3.07 tff(3712,assumption,(r(s(s(elem!1)), s(elem!1))), introduced(assumption)).
% 2.86/3.07 tff(3713,plain,
% 2.86/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3714,plain,
% 2.86/3.07 (((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3715,plain,
% 2.86/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[3714])).
% 2.86/3.07 tff(3716,plain,
% 2.86/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[3715, 3713])).
% 2.86/3.07 tff(3717,plain,
% 2.86/3.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(3718,plain,
% 2.86/3.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 2.86/3.07 tff(3719,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3718, 125, 1564, 1404, 2201, 3712])).
% 2.86/3.07 tff(3720,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3721,plain,
% 2.86/3.07 (~r(s(s(elem!1)), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3720, 3705, 3570, 3693])).
% 2.86/3.07 tff(3722,plain,
% 2.86/3.07 (b(s(s(elem!1)), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1932, 3721, 3711])).
% 2.86/3.07 tff(3723,assumption,(b(elem!1, s(s(elem!1)))), introduced(assumption)).
% 2.86/3.07 tff(3724,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3725,plain,
% 2.86/3.07 (((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~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(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3726,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~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)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[3725])).
% 2.86/3.07 tff(3727,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~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)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[3726, 3724])).
% 2.86/3.07 tff(3728,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~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)))))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(3729,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(elem!1, s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(elem!1, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[3728, 3727])).
% 2.86/3.07 tff(3730,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3729, 91, 1837, 3723, 1836, 2374, 318, 1545])).
% 2.86/3.07 tff(3731,plain,((~b(s(s(elem!1)), s(elem!1))) | (~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(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3732,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3731, 3722, 3707, 1796, 3653, 318, 3536])).
% 2.86/3.07 tff(3733,plain,((~(s(z) = s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (s(s(s(s(s(z))))) = s(s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (elem!1 = s(s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | b(s(s(s(s(z)))), z) | (~b(s(s(s(s(s(s(z)))))), z)) | r(z, s(s(s(s(z))))) | b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3734,plain,
% 2.86/3.07 (~(s(z) = s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3733, 3534, 1348, 1346, 545, 75, 216, 1506, 70, 3518, 1764, 115, 3525, 3523, 429, 410, 309, 3520, 169, 3517])).
% 2.86/3.07 tff(3735,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3734, 3516])).
% 2.86/3.07 tff(3736,plain,((~(s(elem!1) = s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | b(s(s(s(s(z)))), z) | r(z, s(s(s(s(z))))) | b(s(z), z) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (s(elem!1) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3737,plain,
% 2.86/3.07 (~(s(elem!1) = s(z))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3736, 3514, 1203, 216, 3485, 1204, 2944, 3491, 309, 169, 2945, 1, 545, 1262])).
% 2.86/3.07 tff(3738,assumption,(~r(s(elem!1), s(z))), introduced(assumption)).
% 2.86/3.07 tff(3739,plain,
% 2.86/3.07 (b(s(elem!1), s(z))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1639, 1510, 3738])).
% 2.86/3.07 tff(3740,plain,
% 2.86/3.07 (~(s(z) = s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1512, 1510])).
% 2.86/3.07 tff(3741,plain,
% 2.86/3.07 (b(s(z), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1655, 3740, 3288])).
% 2.86/3.07 tff(3742,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1650, 3741, 3739, 1506, 177])).
% 2.86/3.07 tff(3743,plain,((s(elem!1) = s(z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(z))) | r(s(z), s(elem!1)) | r(s(elem!1), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3744,plain,
% 2.86/3.07 (r(s(elem!1), s(z))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3743, 3737, 177, 3515, 3485])).
% 2.86/3.07 tff(3745,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3746,plain,
% 2.86/3.07 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3747,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 2.86/3.07 inference(monotonicity,[status(thm)],[3746])).
% 2.86/3.07 tff(3748,plain,
% 2.86/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.07 inference(transitivity,[status(thm)],[3747, 3745])).
% 2.86/3.07 tff(3749,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.07 inference(quant_inst,[status(thm)],[])).
% 2.86/3.07 tff(3750,plain,
% 2.86/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 2.86/3.07 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 2.86/3.07 tff(3751,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3750, 91, 429, 178, 1073, 318, 177, 316])).
% 2.86/3.07 tff(3752,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3753,plain,
% 2.86/3.07 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3752, 3487, 317, 1207, 177, 2944])).
% 2.86/3.07 tff(3754,plain,
% 2.86/3.07 (r(z, s(s(s(s(s(s(z)))))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1093, 3753])).
% 2.86/3.07 tff(3755,plain,
% 2.86/3.07 ($false),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3342, 125, 1564, 204, 135, 2384, 545])).
% 2.86/3.07 tff(3756,plain,((~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.07 tff(3757,plain,
% 2.86/3.07 (~r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[3756, 3744, 70, 1263, 545])).
% 2.86/3.07 tff(3758,plain,
% 2.86/3.07 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1562, 3757, 1505])).
% 2.86/3.07 tff(3759,plain,
% 2.86/3.07 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1553, 3758, 1207, 3485])).
% 2.86/3.07 tff(3760,plain,
% 2.86/3.07 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1542, 3759, 1285])).
% 2.86/3.07 tff(3761,plain,
% 2.86/3.07 (~r(z, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1827, 3760, 1203, 3754, 3508])).
% 2.86/3.07 tff(3762,plain,
% 2.86/3.07 (b(z, s(elem!1))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1583, 3761])).
% 2.86/3.07 tff(3763,plain,
% 2.86/3.07 (~b(s(elem!1), s(s(s(s(z)))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1613, 3762, 317, 1207, 3485])).
% 2.86/3.07 tff(3764,plain,
% 2.86/3.07 (r(s(elem!1), s(s(s(s(z)))))),
% 2.86/3.07 inference(unit_resolution,[status(thm)],[1526, 3763, 3514])).
% 2.86/3.07 tff(3765,plain,
% 2.86/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))),
% 2.86/3.07 inference(rewrite,[status(thm)],[])).
% 2.86/3.07 tff(3766,plain,
% 2.86/3.07 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z))))))))) <=> ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(3767,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[3766])).
% 2.86/3.08 tff(3768,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z))))),
% 2.86/3.08 inference(transitivity,[status(thm)],[3767, 3765])).
% 2.86/3.08 tff(3769,plain,
% 2.86/3.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(3770,plain,
% 2.86/3.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 2.86/3.08 tff(3771,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3770, 125, 3760, 3764, 1263, 3744, 545])).
% 2.86/3.08 tff(3772,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (s(elem!1) = s(s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), z) | r(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(z)))))) | b(z, s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(3773,plain,
% 2.86/3.08 (s(elem!1) = s(s(s(s(s(s(z))))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3772, 2957, 177, 216, 309, 169, 1, 684, 101])).
% 2.86/3.08 tff(3774,plain,
% 2.86/3.08 (elem!1 = s(s(s(s(s(z)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2788, 3773])).
% 2.86/3.08 tff(3775,plain,
% 2.86/3.08 (s(s(s(s(s(z))))) = elem!1),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2796, 3774])).
% 2.86/3.08 tff(3776,plain,
% 2.86/3.08 (s(s(s(s(s(s(z)))))) = s(elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2707, 3773])).
% 2.86/3.08 tff(3777,plain,
% 2.86/3.08 (r(s(s(s(s(s(s(z)))))), z) <=> r(s(elem!1), z)),
% 2.86/3.08 inference(monotonicity,[status(thm)],[1501])).
% 2.86/3.08 tff(3778,plain,
% 2.86/3.08 (r(s(elem!1), z) <=> r(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.08 inference(symmetry,[status(thm)],[3777])).
% 2.86/3.08 tff(3779,plain,
% 2.86/3.08 (r(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[1477, 3778])).
% 2.86/3.08 tff(3780,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[756, 3779])).
% 2.86/3.08 tff(3781,plain,((~(s(s(s(s(s(s(z)))))) = s(elem!1))) | r(s(s(s(s(s(s(z)))))), z) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(3782,plain,
% 2.86/3.08 (~r(s(elem!1), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3781, 3776, 2958])).
% 2.86/3.08 tff(3783,plain,
% 2.86/3.08 (b(s(elem!1), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1669, 3782])).
% 2.86/3.08 tff(3784,plain,
% 2.86/3.08 (~(s(elem!1) = s(s(s(s(z)))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1965, 3783, 309])).
% 2.86/3.08 tff(3785,plain,
% 2.86/3.08 (~(elem!1 = s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2808, 3784, 3775])).
% 2.86/3.08 tff(3786,plain,
% 2.86/3.08 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2693, 3773])).
% 2.86/3.08 tff(3787,plain,
% 2.86/3.08 (r(s(s(s(s(s(s(z)))))), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[3776])).
% 2.86/3.08 tff(3788,plain,
% 2.86/3.08 (r(s(elem!1), s(s(elem!1))) <=> r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.08 inference(symmetry,[status(thm)],[3787])).
% 2.86/3.08 tff(3789,plain,
% 2.86/3.08 (~(s(elem!1) = s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1914, 3785])).
% 2.86/3.08 tff(3790,plain,
% 2.86/3.08 (b(s(s(s(s(z)))), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3484, 2957, 2944, 317, 70, 177, 216, 1204, 101, 309])).
% 2.86/3.08 tff(3791,plain,
% 2.86/3.08 (~(z = elem!1)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2699, 3773])).
% 2.86/3.08 tff(3792,plain,
% 2.86/3.08 (~(elem!1 = z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1697, 3791])).
% 2.86/3.08 tff(3793,plain,
% 2.86/3.08 (~(s(elem!1) = s(z))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1703, 3792])).
% 2.86/3.08 tff(3794,plain,
% 2.86/3.08 (~(s(z) = s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1512, 3793])).
% 2.86/3.08 tff(3795,plain,
% 2.86/3.08 (~r(s(z), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3284, 3784, 216, 2961, 1263, 2957, 1205, 1204, 317, 1207, 2973, 1203, 2946])).
% 2.86/3.08 tff(3796,plain,
% 2.86/3.08 (b(s(z), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1655, 3795, 3794])).
% 2.86/3.08 tff(3797,plain,
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% 2.86/3.08 inference(monotonicity,[status(thm)],[2783, 2764])).
% 2.86/3.08 tff(3798,plain,
% 2.86/3.08 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.08 inference(symmetry,[status(thm)],[3797])).
% 2.86/3.08 tff(3799,plain,
% 2.86/3.08 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))) <=> r(elem!1, s(s(elem!1)))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2783, 2764])).
% 2.86/3.08 tff(3800,plain,
% 2.86/3.08 ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) <=> (~r(elem!1, s(s(elem!1))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[3799])).
% 2.86/3.08 tff(3801,plain,
% 2.86/3.08 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z))))))) <=> r(s(s(elem!1)), s(s(s(s(s(s(z)))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2764])).
% 2.86/3.08 tff(3802,plain,
% 2.86/3.08 (r(s(s(elem!1)), s(s(s(s(s(s(z))))))) <=> r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))),
% 2.86/3.08 inference(symmetry,[status(thm)],[3801])).
% 2.86/3.08 tff(3803,plain,
% 2.86/3.08 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(s(s(s(s(s(z)))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2684])).
% 2.86/3.08 tff(3804,plain,
% 2.86/3.08 (~(s(elem!1) = s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1914, 1912])).
% 2.86/3.08 tff(3805,plain,
% 2.86/3.08 (~(s(s(elem!1)) = s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1907, 3804])).
% 2.86/3.08 tff(3806,plain,
% 2.86/3.08 (b(s(elem!1), s(s(elem!1))) <=> b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2684])).
% 2.86/3.08 tff(3807,plain,
% 2.86/3.08 (b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[1835, 3806])).
% 2.86/3.08 tff(3808,plain,
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% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(3809,plain,
% 2.86/3.08 (((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), 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(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(3810,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1)))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[3809])).
% 2.86/3.08 tff(3811,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 2.86/3.08 inference(transitivity,[status(thm)],[3810, 3808])).
% 2.86/3.08 tff(3812,plain,
% 2.86/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(3813,plain,
% 2.86/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1)))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 2.86/3.08 tff(3814,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3813, 91, 1757, 2374, 318, 177, 1642, 297])).
% 2.86/3.08 tff(3815,plain,((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(3816,plain,
% 2.86/3.08 (~b(s(s(elem!1)), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3815, 3807, 318, 177, 1642, 297])).
% 2.86/3.08 tff(3817,plain,
% 2.86/3.08 (r(s(s(elem!1)), s(elem!1))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1932, 3816, 3805])).
% 2.86/3.08 tff(3818,plain,
% 2.86/3.08 (r(s(s(elem!1)), s(s(s(s(s(s(z)))))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3817, 3803])).
% 2.86/3.08 tff(3819,plain,
% 2.86/3.08 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3818, 3802])).
% 2.86/3.08 tff(3820,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(3821,plain,
% 2.86/3.08 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(3822,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[3821])).
% 2.86/3.08 tff(3823,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.08 inference(transitivity,[status(thm)],[3822, 3820])).
% 2.86/3.08 tff(3824,plain,
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% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(3825,plain,
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% 2.86/3.08 inference(modus_ponens,[status(thm)],[3824, 3823])).
% 2.86/3.08 tff(3826,plain,
% 2.86/3.08 ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3825, 125, 410, 216, 545])).
% 2.86/3.08 tff(3827,plain,
% 2.86/3.08 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3826, 3819])).
% 2.86/3.08 tff(3828,plain,
% 2.86/3.08 (~r(elem!1, s(s(elem!1)))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3827, 3800])).
% 2.86/3.08 tff(3829,plain,
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% 2.86/3.08 tff(3830,plain,
% 2.86/3.08 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3829, 3798])).
% 2.86/3.08 tff(3831,plain,
% 2.86/3.08 (~b(s(z), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1322, 297, 348, 318, 177, 79])).
% 2.86/3.08 tff(3832,plain,
% 2.86/3.08 (r(s(z), z)),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[408, 3831])).
% 2.86/3.08 tff(3833,plain,
% 2.86/3.08 (r(z, s(s(s(s(s(s(s(z)))))))) <=> r(z, s(s(elem!1)))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[2764])).
% 2.86/3.08 tff(3834,plain,
% 2.86/3.08 (r(z, s(s(elem!1))) <=> r(z, s(s(s(s(s(s(s(z))))))))),
% 2.86/3.08 inference(symmetry,[status(thm)],[3833])).
% 2.86/3.08 tff(3835,plain,
% 2.86/3.08 (~b(z, s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2900, 1835, 79, 178, 1506, 3560])).
% 2.86/3.08 tff(3836,plain,
% 2.86/3.08 (r(z, s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[2271, 3835])).
% 2.86/3.08 tff(3837,plain,
% 2.86/3.08 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3836, 3834])).
% 2.86/3.08 tff(3838,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(3839,plain,
% 2.86/3.08 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.08 inference(rewrite,[status(thm)],[])).
% 2.86/3.08 tff(3840,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.86/3.08 inference(monotonicity,[status(thm)],[3839])).
% 2.86/3.08 tff(3841,plain,
% 2.86/3.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.08 inference(transitivity,[status(thm)],[3840, 3838])).
% 2.86/3.08 tff(3842,plain,
% 2.86/3.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.86/3.08 inference(quant_inst,[status(thm)],[])).
% 2.86/3.08 tff(3843,plain,
% 2.86/3.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3842, 3841])).
% 2.86/3.08 tff(3844,plain,
% 2.86/3.08 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3843, 125, 135, 411, 1020, 2827])).
% 2.86/3.08 tff(3845,plain,
% 2.86/3.08 ($false),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3844, 2914])).
% 2.86/3.08 tff(3846,plain,((~r(s(z), s(s(elem!1)))) | (~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.08 tff(3847,plain,
% 2.86/3.08 (~r(s(z), s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[3846, 3837, 135, 3832, 1020, 2684])).
% 2.86/3.08 tff(3848,plain,
% 2.86/3.08 (b(s(z), s(s(elem!1)))),
% 2.86/3.08 inference(unit_resolution,[status(thm)],[1402, 3847, 1335])).
% 2.86/3.08 tff(3849,plain,
% 2.86/3.08 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.08 inference(modus_ponens,[status(thm)],[3848, 2766])).
% 2.86/3.08 tff(3850,plain,
% 2.86/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3851,plain,
% 2.86/3.09 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3852,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[3851])).
% 2.86/3.09 tff(3853,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[3852, 3850])).
% 2.86/3.09 tff(3854,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(3855,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[3854, 3853])).
% 2.86/3.09 tff(3856,plain,
% 2.86/3.09 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3855, 91, 348, 318, 177, 297])).
% 2.86/3.09 tff(3857,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3856, 3849, 3830])).
% 2.86/3.09 tff(3858,plain,((~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (elem!1 = s(s(elem!1))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(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,[]))).
% 2.86/3.09 tff(3859,plain,
% 2.86/3.09 (~b(s(elem!1), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3858, 3785, 1207, 177, 2948, 2971, 1263, 1205, 3773, 2973, 216, 2957, 3796, 2961, 317, 3790])).
% 2.86/3.09 tff(3860,plain,
% 2.86/3.09 (r(s(elem!1), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2905, 3859, 3789])).
% 2.86/3.09 tff(3861,plain,
% 2.86/3.09 (r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[3860, 3788])).
% 2.86/3.09 tff(3862,plain,
% 2.86/3.09 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3581, 3861, 70, 1263, 2957])).
% 2.86/3.09 tff(3863,plain,
% 2.86/3.09 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1851, 3862, 3786])).
% 2.86/3.09 tff(3864,plain,
% 2.86/3.09 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[2764])).
% 2.86/3.09 tff(3865,plain,
% 2.86/3.09 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(symmetry,[status(thm)],[3864])).
% 2.86/3.09 tff(3866,plain,
% 2.86/3.09 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[1837, 3865])).
% 2.86/3.09 tff(3867,plain,
% 2.86/3.09 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[3723, 3798])).
% 2.86/3.09 tff(3868,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3869,plain,
% 2.86/3.09 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3870,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[3869])).
% 2.86/3.09 tff(3871,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[3870, 3868])).
% 2.86/3.09 tff(3872,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(3873,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[3872, 3871])).
% 2.86/3.09 tff(3874,plain,
% 2.86/3.09 ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3873, 91, 79, 178, 348, 316])).
% 2.86/3.09 tff(3875,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3874, 3867, 3866])).
% 2.86/3.09 tff(3876,plain,((~b(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(3877,plain,
% 2.86/3.09 (~b(elem!1, s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3876, 3863, 317, 2959, 2971, 2961, 3773])).
% 2.86/3.09 tff(3878,plain,
% 2.86/3.09 (r(elem!1, s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2105, 3877, 3785])).
% 2.86/3.09 tff(3879,plain,
% 2.86/3.09 (r(elem!1, s(s(elem!1))) <=> r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(symmetry,[status(thm)],[3799])).
% 2.86/3.09 tff(3880,plain,
% 2.86/3.09 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[3593, 3879])).
% 2.86/3.09 tff(3881,assumption,(~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.86/3.09 tff(3882,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3881, 3880])).
% 2.86/3.09 tff(3883,plain,(r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(elem!1)))) | (~(s(elem!1) = s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(3884,plain,
% 2.86/3.09 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3883, 3878, 3773])).
% 2.86/3.09 tff(3885,plain,
% 2.86/3.09 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3752, 2959, 317, 1207, 177, 2944])).
% 2.86/3.09 tff(3886,plain,
% 2.86/3.09 (r(z, s(s(s(s(s(s(z)))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1093, 3885])).
% 2.86/3.09 tff(3887,plain,
% 2.86/3.09 (~r(z, s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3701, 3861, 3886, 1203, 216])).
% 2.86/3.09 tff(3888,plain,
% 2.86/3.09 (b(z, s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2271, 3887])).
% 2.86/3.09 tff(3889,plain,
% 2.86/3.09 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[2933, 3888, 3773])).
% 2.86/3.09 tff(3890,assumption,(b(z, s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.86/3.09 tff(3891,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3892,plain,
% 2.86/3.09 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3893,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[3892])).
% 2.86/3.09 tff(3894,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[3893, 3891])).
% 2.86/3.09 tff(3895,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(3896,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 2.86/3.09 tff(3897,plain,
% 2.86/3.09 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3896, 91, 318, 177, 316, 297, 3890])).
% 2.86/3.09 tff(3898,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3897, 2767])).
% 2.86/3.09 tff(3899,plain,((~b(s(z), s(s(elem!1)))) | (~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(3900,plain,
% 2.86/3.09 (~b(s(z), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3899, 3889, 1207, 177, 2959, 2948, 3773])).
% 2.86/3.09 tff(3901,plain,
% 2.86/3.09 (r(s(z), s(s(elem!1)))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[1402, 3900, 1335])).
% 2.86/3.09 tff(3902,assumption,(r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.86/3.09 tff(3903,plain,
% 2.86/3.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3904,plain,
% 2.86/3.09 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3905,plain,
% 2.86/3.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[3904])).
% 2.86/3.09 tff(3906,plain,
% 2.86/3.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[3905, 3903])).
% 2.86/3.09 tff(3907,plain,
% 2.86/3.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(3908,plain,
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% 2.86/3.09 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 2.86/3.09 tff(3909,plain,
% 2.86/3.09 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3908, 125, 410, 216, 545, 3902])).
% 2.86/3.09 tff(3910,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3909, 2914])).
% 2.86/3.09 tff(3911,plain,((~r(s(z), s(s(elem!1)))) | (~(s(elem!1) = s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(3912,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3911, 3901, 3884, 2957, 216, 3773, 2973])).
% 2.86/3.09 tff(3913,plain,(b(s(s(s(s(z)))), z) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | r(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(z)))))) | b(z, s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(3914,plain,
% 2.86/3.09 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3913, 1202, 1018, 169, 1, 1135, 1188])).
% 2.86/3.09 tff(3915,plain,
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% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3916,plain,
% 2.86/3.09 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.86/3.09 inference(rewrite,[status(thm)],[])).
% 2.86/3.09 tff(3917,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.86/3.09 inference(monotonicity,[status(thm)],[3916])).
% 2.86/3.09 tff(3918,plain,
% 2.86/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.86/3.09 inference(transitivity,[status(thm)],[3917, 3915])).
% 2.86/3.09 tff(3919,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.86/3.09 inference(quant_inst,[status(thm)],[])).
% 2.86/3.09 tff(3920,plain,
% 2.86/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.86/3.09 inference(modus_ponens,[status(thm)],[3919, 3918])).
% 2.86/3.09 tff(3921,plain,
% 2.86/3.09 ($false),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3920, 91, 1134, 317, 3914, 349])).
% 2.86/3.09 tff(3922,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | r(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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.09 tff(3923,plain,
% 2.86/3.09 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[3922, 348, 1, 169, 297, 215, 347])).
% 2.86/3.09 tff(3924,plain,
% 2.86/3.09 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[369, 3923])).
% 2.86/3.09 tff(3925,plain,
% 2.86/3.09 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[378, 3924, 70, 347])).
% 2.86/3.09 tff(3926,plain,
% 2.86/3.09 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.86/3.09 inference(unit_resolution,[status(thm)],[246, 3925])).
% 2.86/3.10 tff(3927,plain,
% 2.86/3.10 (~b(s(z), s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[501, 3926, 348, 297])).
% 2.86/3.10 tff(3928,plain,
% 2.86/3.10 (r(s(z), s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[163, 3927])).
% 2.86/3.10 tff(3929,plain,
% 2.86/3.10 (~b(s(s(s(s(s(z))))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[386, 91, 348, 3926, 297])).
% 2.86/3.10 tff(3930,plain,
% 2.86/3.10 (r(s(s(s(s(s(z))))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[394, 3929])).
% 2.86/3.10 tff(3931,plain,
% 2.86/3.10 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1050, 72, 348, 178, 1032, 297])).
% 2.86/3.10 tff(3932,plain,
% 2.86/3.10 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[689, 3931])).
% 2.86/3.10 tff(3933,plain,
% 2.86/3.10 (~r(s(s(s(s(s(z))))), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1040, 3932, 347, 215, 1020])).
% 2.86/3.10 tff(3934,plain,
% 2.86/3.10 (b(s(s(s(s(s(z))))), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[427, 3933])).
% 2.86/3.10 tff(3935,plain,
% 2.86/3.10 (~r(s(z), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1060, 544, 215, 1020, 347])).
% 2.86/3.10 tff(3936,plain,
% 2.86/3.10 (b(s(z), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[408, 3935])).
% 2.86/3.10 tff(3937,plain,
% 2.86/3.10 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[698, 544, 410, 136])).
% 2.86/3.10 tff(3938,plain,
% 2.86/3.10 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[689, 3937])).
% 2.86/3.10 tff(3939,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1050, 3938, 3936, 348, 178, 1032, 297])).
% 2.86/3.10 tff(3940,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(3941,plain,
% 2.86/3.10 (~r(s(s(s(s(z)))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[3940, 348, 178, 297, 410, 136, 215, 1020, 347])).
% 2.86/3.10 tff(3942,plain,
% 2.86/3.10 (b(s(s(s(s(z)))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[201, 3941])).
% 2.86/3.10 tff(3943,plain,
% 2.86/3.10 (~b(z, s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1182, 72, 178, 3942])).
% 2.86/3.10 tff(3944,plain,
% 2.86/3.10 (r(z, s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[267, 3943])).
% 2.86/3.10 tff(3945,plain,
% 2.86/3.10 (~r(z, s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[511, 3944, 136, 410])).
% 2.86/3.10 tff(3946,plain,
% 2.86/3.10 (b(z, s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[113, 3945])).
% 2.86/3.10 tff(3947,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1098, 3946, 3934, 347, 348, 1020])).
% 2.86/3.10 tff(3948,plain,((~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(3949,plain,
% 2.86/3.10 (~b(s(z), z)),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[3948, 348, 347, 1019, 3928, 3930, 215, 317, 297])).
% 2.86/3.10 tff(3950,plain,
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% 2.86/3.10 inference(unit_resolution,[status(thm)],[408, 3949])).
% 2.86/3.10 tff(3951,plain,
% 2.86/3.10 (~r(s(s(s(s(z)))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[3940, 348, 317, 297, 3930, 3928, 215, 1019, 347])).
% 2.86/3.10 tff(3952,plain,
% 2.86/3.10 (b(s(s(s(s(z)))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[201, 3951])).
% 2.86/3.10 tff(3953,plain,
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% 2.86/3.10 inference(unit_resolution,[status(thm)],[726, 3950, 348, 1030, 3928, 3930])).
% 2.86/3.10 tff(3954,plain,
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% 2.86/3.10 inference(unit_resolution,[status(thm)],[267, 3953])).
% 2.86/3.10 tff(3955,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(3956,plain,
% 2.86/3.10 (((~b(s(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(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(3957,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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(X1, 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(z, s(z))) | (~b(z, s(s(s(s(z))))))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[3956])).
% 2.86/3.10 tff(3958,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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(X1, 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(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[3957, 3955])).
% 2.86/3.10 tff(3959,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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)))))))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(3960,plain,
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% 2.86/3.10 inference(modus_ponens,[status(thm)],[3959, 3958])).
% 2.86/3.10 tff(3961,plain,
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% 2.86/3.10 inference(unit_resolution,[status(thm)],[3960, 91, 565, 429, 178, 177])).
% 2.86/3.10 tff(3962,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(3963,plain,
% 2.86/3.10 (~b(s(z), s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[3962, 3954, 317, 3952])).
% 2.86/3.10 tff(3964,plain,
% 2.86/3.10 (r(s(z), s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[563, 3963])).
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% 2.86/3.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(3966,plain,
% 2.86/3.10 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(3967,plain,
% 2.86/3.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[3966])).
% 2.86/3.10 tff(3968,plain,
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% 2.86/3.10 inference(transitivity,[status(thm)],[3967, 3965])).
% 2.86/3.10 tff(3969,plain,
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% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(3970,plain,
% 2.86/3.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[3969, 3968])).
% 2.86/3.10 tff(3971,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[3970, 125, 3964, 3950, 1019, 3924, 3928])).
% 2.86/3.10 tff(3972,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(3973,plain,
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% 2.86/3.10 inference(unit_resolution,[status(thm)],[3972, 347, 215, 297, 1, 169])).
% 2.86/3.10 tff(3974,plain,
% 2.86/3.10 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[1313, 3973])).
% 2.86/3.10 tff(3975,plain,
% 2.86/3.10 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[212, 115, 204, 203])).
% 2.86/3.10 tff(3976,plain,
% 2.86/3.10 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[369, 3975])).
% 2.86/3.10 tff(3977,plain,
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% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(3978,plain,
% 2.86/3.10 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, 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)))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(3979,plain,
% 2.86/3.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, 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)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[3978])).
% 2.86/3.10 tff(3980,plain,
% 2.86/3.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, 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)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[3979, 3977])).
% 2.86/3.10 tff(3981,plain,
% 2.86/3.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, 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)))), z)))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(3982,plain,
% 2.86/3.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[3981, 3980])).
% 2.86/3.10 tff(3983,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[3982, 125, 203, 215, 1020, 347, 115])).
% 2.86/3.10 tff(3984,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, 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)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(3985,plain,
% 2.86/3.10 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 2.86/3.10 tff(3986,plain,
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% 2.86/3.10 tff(3987,plain,
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% 2.86/3.10 tff(3988,plain,
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% 2.86/3.10 inference(unit_resolution,[status(thm)],[113, 3987])).
% 2.86/3.10 tff(3989,plain,
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% 2.86/3.10 tff(3991,plain,
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% 2.86/3.10 tff(3992,plain,
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% 2.86/3.10 tff(3993,plain,
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% 2.86/3.10 tff(3994,plain,
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% 2.86/3.10 tff(3996,plain,
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% 2.86/3.10 tff(3997,plain,
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% 2.86/3.10 tff(3998,plain,
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% 2.86/3.10 tff(3999,plain,
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% 2.86/3.10 tff(4000,plain,
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% 2.86/3.10 tff(4001,plain,
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% 2.86/3.10 tff(4002,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(4003,plain,
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% 2.86/3.10 tff(4004,plain,
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% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(4006,plain,
% 2.86/3.10 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(4007,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[4006])).
% 2.86/3.10 tff(4008,plain,
% 2.86/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[4007, 4005])).
% 2.86/3.10 tff(4009,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(4010,plain,
% 2.86/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.86/3.10 inference(modus_ponens,[status(thm)],[4009, 4008])).
% 2.86/3.10 tff(4011,plain,
% 2.86/3.10 ($false),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[4010, 91, 77, 526, 298, 297])).
% 2.86/3.10 tff(4012,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.10 tff(4013,plain,
% 2.86/3.10 (~b(s(s(s(s(s(z))))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[4012, 4004, 3996, 297])).
% 2.86/3.10 tff(4014,plain,
% 2.86/3.10 (r(s(s(s(s(s(z))))), s(z))),
% 2.86/3.10 inference(unit_resolution,[status(thm)],[394, 4013])).
% 2.86/3.10 tff(4015,plain,
% 2.86/3.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(4016,plain,
% 2.86/3.10 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.86/3.10 inference(rewrite,[status(thm)],[])).
% 2.86/3.10 tff(4017,plain,
% 2.86/3.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 2.86/3.10 inference(monotonicity,[status(thm)],[4016])).
% 2.86/3.10 tff(4018,plain,
% 2.86/3.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.86/3.10 inference(transitivity,[status(thm)],[4017, 4015])).
% 2.86/3.10 tff(4019,plain,
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% 2.86/3.10 inference(quant_inst,[status(thm)],[])).
% 2.86/3.10 tff(4020,plain,
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% 2.86/3.10 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 2.86/3.10 tff(4021,plain,
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% 2.86/3.10 tff(4022,plain,
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% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4024,plain,
% 2.86/3.11 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)))),
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% 2.86/3.11 tff(4025,plain,
% 2.86/3.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[4024])).
% 2.86/3.11 tff(4026,plain,
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% 2.86/3.11 inference(transitivity,[status(thm)],[4025, 4023])).
% 2.86/3.11 tff(4027,plain,
% 2.86/3.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))),
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% 2.86/3.11 tff(4029,plain,
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% 2.86/3.11 tff(4030,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(4031,plain,
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% 2.86/3.11 tff(4032,plain,
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% 2.86/3.11 tff(4034,plain,
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% 2.86/3.11 tff(4035,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[738, 4034, 544, 410])).
% 2.86/3.11 tff(4036,plain,
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% 2.86/3.11 tff(4037,plain,
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% 2.86/3.11 tff(4038,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[267, 4037])).
% 2.86/3.11 tff(4039,plain,
% 2.86/3.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4040,plain,
% 2.86/3.11 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4041,plain,
% 2.86/3.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z)))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[4040])).
% 2.86/3.11 tff(4042,plain,
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% 2.86/3.11 tff(4043,plain,
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% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(4044,plain,
% 2.86/3.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z)))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 2.86/3.11 tff(4045,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4044, 125, 410, 75, 203, 215, 4038])).
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% 2.86/3.11 tff(4047,plain,
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% 2.86/3.11 tff(4048,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[113, 4047])).
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% 2.86/3.11 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[677, 4048, 4022, 178])).
% 2.86/3.11 tff(4050,plain,
% 2.86/3.11 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[369, 4049])).
% 2.86/3.11 tff(4051,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[738, 4050, 544, 4014])).
% 2.86/3.11 tff(4052,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[563, 4051])).
% 2.86/3.11 tff(4053,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4054,plain,
% 2.86/3.11 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4055,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[4054])).
% 2.86/3.11 tff(4056,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.11 inference(transitivity,[status(thm)],[4055, 4053])).
% 2.86/3.11 tff(4057,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(4058,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 2.86/3.11 tff(4059,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4058, 91, 79, 81, 178, 669])).
% 2.86/3.11 tff(4060,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(4061,plain,
% 2.86/3.11 (~b(s(s(s(s(s(z))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4060, 4048, 178, 4022])).
% 2.86/3.11 tff(4062,plain,
% 2.86/3.11 (r(s(s(s(s(s(z))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[427, 4061])).
% 2.86/3.11 tff(4063,plain,
% 2.86/3.11 (~r(z, s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[447, 4062, 4014, 411])).
% 2.86/3.11 tff(4064,plain,
% 2.86/3.11 (b(z, s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[267, 4063])).
% 2.86/3.11 tff(4065,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[573, 4064, 4052, 178, 3994])).
% 2.86/3.11 tff(4066,plain,((~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(4067,plain,
% 2.86/3.11 (~r(s(z), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4066, 765, 544, 203, 215, 178, 347, 297, 204])).
% 2.86/3.11 tff(4068,plain,
% 2.86/3.11 (b(s(z), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[408, 4067])).
% 2.86/3.11 tff(4069,plain,
% 2.86/3.11 (~r(z, s(s(s(s(s(z))))))),
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% 2.86/3.11 tff(4070,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[113, 4069])).
% 2.86/3.11 tff(4071,plain,
% 2.86/3.11 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[800, 410, 74, 72, 178])).
% 2.86/3.11 tff(4072,plain,
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% 2.86/3.11 inference(unit_resolution,[status(thm)],[369, 4071])).
% 2.86/3.11 tff(4073,plain,
% 2.86/3.11 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[677, 4072, 4070, 178])).
% 2.86/3.11 tff(4074,plain,
% 2.86/3.11 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[689, 4073])).
% 2.86/3.11 tff(4075,plain,
% 2.86/3.11 (~b(s(s(s(s(s(z))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[597, 4072, 74, 178])).
% 2.86/3.11 tff(4076,plain,
% 2.86/3.11 (r(s(s(s(s(s(z))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[427, 4075])).
% 2.86/3.11 tff(4077,plain,
% 2.86/3.11 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4020, 125, 410, 203, 544, 115])).
% 2.86/3.11 tff(4078,plain,
% 2.86/3.11 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 2.86/3.11 tff(4079,plain,
% 2.86/3.11 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[326, 4078, 74, 178])).
% 2.86/3.11 tff(4080,plain,
% 2.86/3.11 (r(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[763, 4079])).
% 2.86/3.11 tff(4081,plain,
% 2.86/3.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4082,plain,
% 2.86/3.11 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4083,plain,
% 2.86/3.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[4082])).
% 2.86/3.11 tff(4084,plain,
% 2.86/3.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.86/3.11 inference(transitivity,[status(thm)],[4083, 4081])).
% 2.86/3.11 tff(4085,plain,
% 2.86/3.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(4086,plain,
% 2.86/3.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[4085, 4084])).
% 2.86/3.11 tff(4087,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4086, 125, 4080, 203, 204, 71, 115])).
% 2.86/3.11 tff(4088,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(4089,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4088, 4076, 4074, 204, 203, 544, 178, 74, 410])).
% 2.86/3.11 tff(4090,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(4091,plain,
% 2.86/3.11 (~r(s(s(s(s(s(z))))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4090, 3994, 203, 544, 178, 204, 4068, 215, 765])).
% 2.86/3.11 tff(4092,plain,
% 2.86/3.11 (b(s(s(s(s(s(z))))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[394, 4091])).
% 2.86/3.11 tff(4093,plain,
% 2.86/3.11 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4012, 4092, 3996, 297])).
% 2.86/3.11 tff(4094,plain,
% 2.86/3.11 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[542, 4093])).
% 2.86/3.11 tff(4095,plain,
% 2.86/3.11 (~r(s(z), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[553, 4094, 204, 544])).
% 2.86/3.11 tff(4096,plain,
% 2.86/3.11 (b(s(z), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[563, 4095])).
% 2.86/3.11 tff(4097,plain,
% 2.86/3.11 (((~b(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(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), 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(z), z)))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4098,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[4097])).
% 2.86/3.11 tff(4099,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 2.86/3.11 inference(transitivity,[status(thm)],[4098, 793])).
% 2.86/3.11 tff(4100,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(4101,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 2.86/3.11 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 2.86/3.11 tff(4102,plain,
% 2.86/3.11 ($false),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4101, 91, 4096, 178, 3994, 4068])).
% 2.86/3.11 tff(4103,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.11 tff(4104,plain,
% 2.86/3.11 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[4103, 544, 204, 178, 297, 203, 215, 347])).
% 2.86/3.11 tff(4105,plain,
% 2.86/3.11 (b(s(s(s(s(s(s(z)))))), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[763, 4104])).
% 2.86/3.11 tff(4106,plain,
% 2.86/3.11 (~r(s(z), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[1060, 1020, 215, 544, 347])).
% 2.86/3.11 tff(4107,plain,
% 2.86/3.11 (b(s(z), z)),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[408, 4106])).
% 2.86/3.11 tff(4108,plain,
% 2.86/3.11 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[738, 135, 544, 410])).
% 2.86/3.11 tff(4109,plain,
% 2.86/3.11 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[369, 4108])).
% 2.86/3.11 tff(4110,plain,
% 2.86/3.11 (~b(z, s(s(s(s(s(z))))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[677, 4109, 669, 178])).
% 2.86/3.11 tff(4111,plain,
% 2.86/3.11 (r(z, s(s(s(s(s(z))))))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[113, 4110])).
% 2.86/3.11 tff(4112,plain,
% 2.86/3.11 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[553, 135, 204, 544])).
% 2.86/3.11 tff(4113,plain,
% 2.86/3.11 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.86/3.11 inference(unit_resolution,[status(thm)],[542, 4112])).
% 2.86/3.11 tff(4114,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4115,plain,
% 2.86/3.11 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 2.86/3.11 inference(rewrite,[status(thm)],[])).
% 2.86/3.11 tff(4116,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 2.86/3.11 inference(monotonicity,[status(thm)],[4115])).
% 2.86/3.11 tff(4117,plain,
% 2.86/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 2.86/3.11 inference(transitivity,[status(thm)],[4116, 4114])).
% 2.86/3.11 tff(4118,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.86/3.11 inference(quant_inst,[status(thm)],[])).
% 2.86/3.11 tff(4119,plain,
% 2.86/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 2.86/3.12 inference(modus_ponens,[status(thm)],[4118, 4117])).
% 2.86/3.12 tff(4120,plain,
% 2.86/3.12 ($false),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[4119, 91, 429, 72, 316, 526])).
% 2.86/3.12 tff(4121,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.86/3.12 tff(4122,plain,
% 2.86/3.12 (~b(z, s(z))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[4121, 4113, 316, 72])).
% 2.86/3.12 tff(4123,plain,
% 2.86/3.12 (r(z, s(z))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[267, 4122])).
% 2.86/3.12 tff(4124,plain,
% 2.86/3.12 (~r(s(z), s(s(s(s(s(z))))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[511, 4123, 410, 4111])).
% 2.86/3.12 tff(4125,plain,
% 2.86/3.12 (b(s(z), s(s(s(s(s(z))))))),
% 2.86/3.12 inference(unit_resolution,[status(thm)],[163, 4124])).
% 2.86/3.12 tff(4126,plain,
% 2.86/3.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(4127,plain,
% 2.86/3.12 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(4128,plain,
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% 2.86/3.12 inference(monotonicity,[status(thm)],[4127])).
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% 2.86/3.12 inference(transitivity,[status(thm)],[4128, 4126])).
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% 2.86/3.12 tff(4132,plain,
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% 2.86/3.12 tff(4133,plain,
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% 2.86/3.12 inference(unit_resolution,[status(thm)],[246, 4132])).
% 2.86/3.12 tff(4134,plain,
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% 2.86/3.12 tff(4142,plain,
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% 2.86/3.12 tff(4143,plain,
% 2.86/3.12 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.86/3.12 inference(rewrite,[status(thm)],[])).
% 2.86/3.12 tff(4144,plain,
% 2.86/3.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.86/3.12 inference(monotonicity,[status(thm)],[4143])).
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% 2.86/3.12 inference(transitivity,[status(thm)],[4144, 4142])).
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% 2.86/3.12 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 2.86/3.12 tff(4148,plain,
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% 2.86/3.12 tff(4157,plain,
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% 2.86/3.12 (((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~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))))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
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% 2.86/3.12 inference(monotonicity,[status(thm)],[4161])).
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% 2.86/3.12 inference(transitivity,[status(thm)],[4162, 4160])).
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% 2.86/3.12 inference(quant_inst,[status(thm)],[])).
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% 2.97/3.13 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
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% 2.97/3.13 tff(4244,plain,
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% 2.97/3.13 inference(rewrite,[status(thm)],[])).
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% 2.97/3.13 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
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% 2.97/3.13 tff(4248,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
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% 2.97/3.13 tff(4252,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[201, 4306])).
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% 2.97/3.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4309,plain,
% 2.97/3.14 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4310,plain,
% 2.97/3.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[4309])).
% 2.97/3.14 tff(4311,plain,
% 2.97/3.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.97/3.14 inference(transitivity,[status(thm)],[4310, 4308])).
% 2.97/3.14 tff(4312,plain,
% 2.97/3.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(quant_inst,[status(thm)],[])).
% 2.97/3.14 tff(4313,plain,
% 2.97/3.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.97/3.14 inference(modus_ponens,[status(thm)],[4312, 4311])).
% 2.97/3.14 tff(4314,plain,
% 2.97/3.14 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[4313, 125, 410, 203, 204, 135])).
% 2.97/3.14 tff(4315,plain,
% 2.97/3.14 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[542, 4314])).
% 2.97/3.14 tff(4316,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4317,plain,
% 2.97/3.14 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4318,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[4317])).
% 2.97/3.14 tff(4319,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.14 inference(transitivity,[status(thm)],[4318, 4316])).
% 2.97/3.14 tff(4320,plain,
% 2.97/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(quant_inst,[status(thm)],[])).
% 2.97/3.14 tff(4321,plain,
% 2.97/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 2.97/3.14 tff(4322,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[4321, 91, 176, 526, 298, 297])).
% 2.97/3.14 tff(4323,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(4324,plain,
% 2.97/3.14 (~b(s(z), s(s(s(s(s(z))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[4323, 4315, 298, 297])).
% 2.97/3.14 tff(4325,plain,
% 2.97/3.14 (r(s(z), s(s(s(s(s(z))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[163, 4324])).
% 2.97/3.14 tff(4326,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4327,plain,
% 2.97/3.14 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4328,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[4327])).
% 2.97/3.14 tff(4329,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
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% 2.97/3.14 tff(4330,plain,
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% 2.97/3.14 inference(quant_inst,[status(thm)],[])).
% 2.97/3.14 tff(4331,plain,
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% 2.97/3.14 inference(modus_ponens,[status(thm)],[4330, 4329])).
% 2.97/3.14 tff(4332,plain,
% 2.97/3.14 ($false),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[4331, 91, 81, 178, 669, 177, 526, 298])).
% 2.97/3.14 tff(4333,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(4334,plain,
% 2.97/3.14 (~b(z, s(s(s(s(s(z))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[4333, 4315, 669, 177, 178, 298])).
% 2.97/3.14 tff(4335,plain,
% 2.97/3.14 (r(z, s(s(s(s(s(z))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[113, 4334])).
% 2.97/3.14 tff(4336,plain,
% 2.97/3.14 (~r(z, s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[511, 4335, 4325, 410])).
% 2.97/3.14 tff(4337,plain,
% 2.97/3.14 (b(z, s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[267, 4336])).
% 2.97/3.14 tff(4338,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4339,plain,
% 2.97/3.14 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(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(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4340,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(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(X1, 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(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[4339])).
% 2.97/3.14 tff(4341,plain,
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% 2.97/3.14 inference(transitivity,[status(thm)],[4340, 4338])).
% 2.97/3.14 tff(4342,plain,
% 2.97/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.97/3.14 inference(quant_inst,[status(thm)],[])).
% 2.97/3.14 tff(4343,plain,
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% 2.97/3.14 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 2.97/3.14 tff(4344,plain,
% 2.97/3.14 ($false),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[4343, 91, 4337, 178, 177, 4315, 297])).
% 2.97/3.14 tff(4345,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(4346,plain,
% 2.97/3.14 (~r(s(s(s(s(s(z))))), s(z))),
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% 2.97/3.14 tff(4347,plain,
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% 2.97/3.14 tff(4348,plain,
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% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(4349,plain,
% 2.97/3.14 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
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% 2.97/3.14 tff(4350,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[4349])).
% 2.97/3.14 tff(4351,plain,
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% 2.97/3.14 inference(transitivity,[status(thm)],[4350, 4348])).
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% 2.97/3.14 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 2.97/3.14 tff(4354,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[4353, 91, 77, 176, 669, 177])).
% 2.97/3.14 tff(4355,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(4356,plain,
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% 2.97/3.14 tff(4357,plain,
% 2.97/3.14 (r(s(z), s(s(s(s(s(z))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[163, 4356])).
% 2.97/3.14 tff(4358,plain,
% 2.97/3.14 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[4012, 4347, 298, 297])).
% 2.97/3.14 tff(4359,plain,
% 2.97/3.14 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[542, 4358])).
% 2.97/3.14 tff(4360,plain,
% 2.97/3.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(4361,plain,
% 2.97/3.15 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(4362,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.97/3.15 inference(monotonicity,[status(thm)],[4361])).
% 2.97/3.15 tff(4363,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(transitivity,[status(thm)],[4362, 4360])).
% 2.97/3.15 tff(4364,plain,
% 2.97/3.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.97/3.15 inference(quant_inst,[status(thm)],[])).
% 2.97/3.15 tff(4365,plain,
% 2.97/3.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.97/3.15 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 2.97/3.15 tff(4366,plain,
% 2.97/3.15 ($false),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4365, 125, 203, 204, 73, 545, 136])).
% 2.97/3.15 tff(4367,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
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% 2.97/3.15 tff(4369,plain,
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% 2.97/3.15 tff(4377,plain,
% 2.97/3.15 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
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% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 2.97/3.15 inference(monotonicity,[status(thm)],[4377])).
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% 2.97/3.15 inference(modus_ponens,[status(thm)],[4380, 4379])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[4381, 91, 4347, 178, 669, 177, 4375, 4369])).
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% 2.97/3.15 tff(4384,plain,
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% 2.97/3.15 tff(4385,plain,
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% 2.97/3.15 tff(4387,plain,
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% 2.97/3.15 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(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)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
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% 2.97/3.15 tff(4396,plain,
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% 2.97/3.15 tff(4403,plain,
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% 2.97/3.15 tff(4406,plain,
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% 2.97/3.15 tff(4410,plain,
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% 2.97/3.15 tff(4411,plain,
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% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(4413,plain,
% 2.97/3.15 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(4414,plain,
% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.97/3.15 inference(monotonicity,[status(thm)],[4413])).
% 2.97/3.15 tff(4415,plain,
% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.15 inference(transitivity,[status(thm)],[4414, 4412])).
% 2.97/3.15 tff(4416,plain,
% 2.97/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.15 inference(quant_inst,[status(thm)],[])).
% 2.97/3.15 tff(4417,plain,
% 2.97/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(modus_ponens,[status(thm)],[4416, 4415])).
% 2.97/3.15 tff(4418,plain,
% 2.97/3.15 ($false),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4417, 91, 77, 176, 348, 297])).
% 2.97/3.15 tff(4419,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(4420,plain,
% 2.97/3.15 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4419, 176, 297, 77])).
% 2.97/3.15 tff(4421,plain,
% 2.97/3.15 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[1313, 4420])).
% 2.97/3.15 tff(4422,plain,
% 2.97/3.15 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4355, 176, 77, 177])).
% 2.97/3.15 tff(4423,plain,
% 2.97/3.15 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[689, 4422])).
% 2.97/3.15 tff(4424,plain,
% 2.97/3.15 ($false),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[2969, 4423, 4421, 135, 204, 545])).
% 2.97/3.15 tff(4425,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(4426,plain,
% 2.97/3.15 (~b(s(z), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4425, 70, 135, 4411, 77, 177, 297])).
% 2.97/3.15 tff(4427,plain,
% 2.97/3.15 (r(s(z), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[163, 4426])).
% 2.97/3.15 tff(4428,plain,
% 2.97/3.15 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4367, 4427, 70, 4411, 73])).
% 2.97/3.15 tff(4429,plain,
% 2.97/3.15 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[1313, 4428])).
% 2.97/3.15 tff(4430,plain,
% 2.97/3.15 (~b(s(s(s(s(z)))), z)),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[326, 4409, 316, 317])).
% 2.97/3.15 tff(4431,plain,
% 2.97/3.15 (r(s(s(s(s(z)))), z)),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[314, 4430])).
% 2.97/3.15 tff(4432,assumption,(s(s(z)) = s(s(s(s(s(z)))))), introduced(assumption)).
% 2.97/3.15 tff(4433,plain,
% 2.97/3.15 (s(s(s(s(s(z))))) = s(s(z))),
% 2.97/3.15 inference(symmetry,[status(thm)],[4432])).
% 2.97/3.15 tff(4434,plain,
% 2.97/3.15 ($false),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[785, 4433])).
% 2.97/3.15 tff(4435,plain,(~(s(s(z)) = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(4436,plain,
% 2.97/3.15 (~b(s(s(s(s(z)))), z)),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[403, 72, 178, 177])).
% 2.97/3.15 tff(4437,plain,
% 2.97/3.15 (r(s(s(s(s(z)))), z)),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[314, 4436])).
% 2.97/3.15 tff(4438,plain,
% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(4439,plain,
% 2.97/3.15 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), 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(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(4440,plain,
% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.97/3.15 inference(monotonicity,[status(thm)],[4439])).
% 2.97/3.15 tff(4441,plain,
% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.97/3.15 inference(transitivity,[status(thm)],[4440, 4438])).
% 2.97/3.15 tff(4442,plain,
% 2.97/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.97/3.15 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4443,plain,
% 2.97/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 2.97/3.16 tff(4444,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4443, 91, 76, 318, 177, 297])).
% 2.97/3.16 tff(4445,plain,((~b(s(s(s(s(z)))), s(s(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(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(4446,plain,
% 2.97/3.16 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4445, 76, 177, 297])).
% 2.97/3.16 tff(4447,plain,
% 2.97/3.16 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[336, 4446])).
% 2.97/3.16 tff(4448,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4449,plain,
% 2.97/3.16 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4450,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[4449])).
% 2.97/3.16 tff(4451,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[4450, 4448])).
% 2.97/3.16 tff(4452,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4453,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4452, 4451])).
% 2.97/3.16 tff(4454,plain,
% 2.97/3.16 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4453, 125, 215, 4437, 836, 347])).
% 2.97/3.16 tff(4455,plain,
% 2.97/3.16 (b(s(s(s(s(z)))), s(s(z)))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[938, 4454])).
% 2.97/3.16 tff(4456,assumption,(b(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 2.97/3.16 tff(4457,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4458,plain,
% 2.97/3.16 (((~b(s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4459,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[4458])).
% 2.97/3.16 tff(4460,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[4459, 4457])).
% 2.97/3.16 tff(4461,plain,
% 2.97/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4462,plain,
% 2.97/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 2.97/3.16 tff(4463,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4462, 91, 76, 4456, 178, 923, 316])).
% 2.97/3.16 tff(4464,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(4465,plain,
% 2.97/3.16 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4464, 4455, 178, 76, 316])).
% 2.97/3.16 tff(4466,assumption,(s(s(z)) = s(s(s(s(z))))), introduced(assumption)).
% 2.97/3.16 tff(4467,plain,
% 2.97/3.16 (s(s(s(s(z)))) = s(s(z))),
% 2.97/3.16 inference(symmetry,[status(thm)],[4466])).
% 2.97/3.16 tff(4468,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[51, 4467])).
% 2.97/3.16 tff(4469,plain,(~(s(s(z)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(4470,assumption,(~r(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 2.97/3.16 tff(4471,assumption,(~b(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 2.97/3.16 tff(4472,plain,
% 2.97/3.16 (((~![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))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4473,plain,
% 2.97/3.16 ((~![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))))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4474,plain,
% 2.97/3.16 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(z))))) | b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4473, 4472])).
% 2.97/3.16 tff(4475,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4474, 64, 4471, 4470, 4469])).
% 2.97/3.16 tff(4476,plain,(r(s(s(z)), s(s(s(s(z))))) | b(s(s(z)), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(4477,plain,
% 2.97/3.16 (r(s(s(z)), s(s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4476, 4465])).
% 2.97/3.16 tff(4478,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4479,plain,
% 2.97/3.16 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(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(s(s(z)))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4480,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[4479])).
% 2.97/3.16 tff(4481,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[4480, 4478])).
% 2.97/3.16 tff(4482,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(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(s(s(z))))))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4483,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4482, 4481])).
% 2.97/3.16 tff(4484,plain,
% 2.97/3.16 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4483, 125, 4437, 836, 73, 4477])).
% 2.97/3.16 tff(4485,plain,
% 2.97/3.16 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[909, 64, 4484, 4435])).
% 2.97/3.16 tff(4486,plain,
% 2.97/3.16 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2452, 125, 135, 4437, 836])).
% 2.97/3.16 tff(4487,plain,
% 2.97/3.16 (~r(s(s(z)), s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4486, 4477])).
% 2.97/3.16 tff(4488,plain,
% 2.97/3.16 (b(s(s(z)), s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[857, 4487])).
% 2.97/3.16 tff(4489,plain,
% 2.97/3.16 (~b(z, s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[1182, 72, 178, 177])).
% 2.97/3.16 tff(4490,plain,
% 2.97/3.16 (r(z, s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[267, 4489])).
% 2.97/3.16 tff(4491,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4492,plain,
% 2.97/3.16 (((~b(s(z), z)) | (~b(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(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4493,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[4492])).
% 2.97/3.16 tff(4494,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[4493, 4491])).
% 2.97/3.16 tff(4495,plain,
% 2.97/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(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))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4496,plain,
% 2.97/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 2.97/3.16 tff(4497,plain,
% 2.97/3.16 (~b(s(z), s(s(z)))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4496, 91, 923, 177, 72, 3451])).
% 2.97/3.16 tff(4498,plain,
% 2.97/3.16 (r(s(z), s(s(z)))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[1004, 4497])).
% 2.97/3.16 tff(4499,assumption,(r(s(z), s(s(z)))), introduced(assumption)).
% 2.97/3.16 tff(4500,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4501,plain,
% 2.97/3.16 (((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4502,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[4501])).
% 2.97/3.16 tff(4503,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[4502, 4500])).
% 2.97/3.16 tff(4504,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4505,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4504, 4503])).
% 2.97/3.16 tff(4506,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4505, 125, 3403, 215, 270, 4499, 545])).
% 2.97/3.16 tff(4507,plain,((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(4508,plain,
% 2.97/3.16 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4507, 4498, 4490, 215, 3403])).
% 2.97/3.16 tff(4509,plain,
% 2.97/3.16 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[542, 4508])).
% 2.97/3.16 tff(4510,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4511,plain,
% 2.97/3.16 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4512,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[4511])).
% 2.97/3.16 tff(4513,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[4512, 4510])).
% 2.97/3.16 tff(4514,plain,
% 2.97/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(4515,plain,
% 2.97/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[4514, 4513])).
% 2.97/3.16 tff(4516,plain,
% 2.97/3.16 ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4515, 91, 76, 178, 72, 3451])).
% 2.97/3.16 tff(4517,plain,
% 2.97/3.16 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4516, 4509])).
% 2.97/3.16 tff(4518,plain,
% 2.97/3.16 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[881, 64, 4517, 871])).
% 2.97/3.16 tff(4519,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4520,plain,
% 2.97/3.16 (((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z)))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(4521,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[4520])).
% 2.97/3.16 tff(4522,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[4521, 4519])).
% 2.97/3.17 tff(4523,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(4524,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 2.97/3.17 tff(4525,plain,
% 2.97/3.17 ($false),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4524, 125, 3403, 215, 4490, 4498, 4518])).
% 2.97/3.17 tff(4526,plain,((~b(s(s(z)), s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.17 tff(4527,plain,
% 2.97/3.17 (~r(z, s(s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4526, 4488, 215, 76, 178, 72, 4455, 177])).
% 2.97/3.17 tff(4528,plain,
% 2.97/3.17 (b(z, s(s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[3400, 4527])).
% 2.97/3.17 tff(4529,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(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(s(z))))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4530,plain,
% 2.97/3.17 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(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(s(z))))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4531,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(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(s(z)))))))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[4530])).
% 2.97/3.17 tff(4532,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(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(s(z))))))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[4531, 4529])).
% 2.97/3.17 tff(4533,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(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)))))))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(4534,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[4533, 4532])).
% 2.97/3.17 tff(4535,plain,
% 2.97/3.17 ($false),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4534, 91, 4528, 77, 178, 4485, 4455, 177])).
% 2.97/3.17 tff(4536,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.17 tff(4537,plain,
% 2.97/3.17 (~r(s(s(z)), z)),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4536, 76, 178, 177, 73, 215, 77, 72, 135, 316, 4447])).
% 2.97/3.17 tff(4538,plain,
% 2.97/3.17 (b(s(s(z)), z)),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[898, 4537])).
% 2.97/3.17 tff(4539,assumption,(r(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 2.97/3.17 tff(4540,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4541,plain,
% 2.97/3.17 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4542,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[4541])).
% 2.97/3.17 tff(4543,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[4542, 4540])).
% 2.97/3.17 tff(4544,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(4545,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 2.97/3.17 tff(4546,plain,
% 2.97/3.17 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4545, 125, 3102, 73, 4539])).
% 2.97/3.17 tff(4547,plain,
% 2.97/3.17 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[921, 64, 785, 4546])).
% 2.97/3.17 tff(4548,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4549,plain,
% 2.97/3.17 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~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(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4550,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[4549])).
% 2.97/3.17 tff(4551,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[4550, 4548])).
% 2.97/3.17 tff(4552,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(4553,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 2.97/3.17 tff(4554,plain,
% 2.97/3.17 ($false),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4553, 125, 3102, 135, 4499, 4539])).
% 2.97/3.17 tff(4555,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.17 tff(4556,plain,
% 2.97/3.17 (~r(s(z), s(s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4555, 4539, 3102, 135])).
% 2.97/3.17 tff(4557,plain,
% 2.97/3.17 (b(s(z), s(s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[1004, 4556])).
% 2.97/3.17 tff(4558,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4559,plain,
% 2.97/3.17 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4560,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[4559])).
% 2.97/3.17 tff(4561,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[4560, 4558])).
% 2.97/3.17 tff(4562,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(4563,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[4562, 4561])).
% 2.97/3.17 tff(4564,plain,
% 2.97/3.17 ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4563, 91, 77, 924, 316, 297])).
% 2.97/3.17 tff(4565,plain,
% 2.97/3.17 (~b(s(s(z)), s(z))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4564, 4547])).
% 2.97/3.17 tff(4566,plain,
% 2.97/3.17 (r(s(s(z)), s(z))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[857, 4565])).
% 2.97/3.17 tff(4567,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4568,plain,
% 2.97/3.17 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4569,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[4568])).
% 2.97/3.17 tff(4570,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[4569, 4567])).
% 2.97/3.17 tff(4571,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(4572,plain,
% 2.97/3.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 2.97/3.17 tff(4573,plain,
% 2.97/3.17 ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4572, 125, 73, 136, 4539])).
% 2.97/3.17 tff(4574,plain,
% 2.97/3.17 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[4573, 4566])).
% 2.97/3.17 tff(4575,plain,
% 2.97/3.17 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[909, 64, 4574, 4435])).
% 2.97/3.17 tff(4576,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4577,plain,
% 2.97/3.17 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(4578,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 2.97/3.18 inference(monotonicity,[status(thm)],[4577])).
% 2.97/3.18 tff(4579,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(transitivity,[status(thm)],[4578, 4576])).
% 2.97/3.18 tff(4580,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(4581,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.97/3.18 inference(modus_ponens,[status(thm)],[4580, 4579])).
% 2.97/3.18 tff(4582,plain,
% 2.97/3.18 ($false),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4581, 91, 77, 4575, 4557, 4547])).
% 2.97/3.18 tff(4583,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(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,[]))).
% 2.97/3.18 tff(4584,plain,
% 2.97/3.18 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4583, 3102, 73, 136, 924, 316, 297, 77, 135])).
% 2.97/3.18 tff(4585,plain,
% 2.97/3.18 (b(s(s(z)), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4476, 4584])).
% 2.97/3.18 tff(4586,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4587,plain,
% 2.97/3.18 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), 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(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4588,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z))))),
% 2.97/3.18 inference(monotonicity,[status(thm)],[4587])).
% 2.97/3.18 tff(4589,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))),
% 2.97/3.18 inference(transitivity,[status(thm)],[4588, 4586])).
% 2.97/3.18 tff(4590,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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)))))),
% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(4591,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z))),
% 2.97/3.18 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 2.97/3.18 tff(4592,plain,
% 2.97/3.18 ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4591, 91, 924, 76, 177, 72])).
% 2.97/3.18 tff(4593,plain,
% 2.97/3.18 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4592, 4585])).
% 2.97/3.18 tff(4594,plain,
% 2.97/3.18 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[3164, 4593])).
% 2.97/3.18 tff(4595,plain,
% 2.97/3.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4596,plain,
% 2.97/3.18 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, 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)))), z))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4597,plain,
% 2.97/3.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, 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)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.97/3.18 inference(monotonicity,[status(thm)],[4596])).
% 2.97/3.18 tff(4598,plain,
% 2.97/3.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, 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)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.97/3.18 inference(transitivity,[status(thm)],[4597, 4595])).
% 2.97/3.18 tff(4599,plain,
% 2.97/3.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, 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)))), z)))),
% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(4600,plain,
% 2.97/3.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.97/3.18 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 2.97/3.18 tff(4601,plain,
% 2.97/3.18 ($false),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4600, 125, 215, 3102, 1020, 4447, 4594])).
% 2.97/3.18 tff(4602,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.18 tff(4603,plain,
% 2.97/3.18 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4602, 4538, 4437, 215, 76, 177, 72, 73, 136, 316, 297, 77, 135])).
% 2.97/3.18 tff(4604,plain,
% 2.97/3.18 (b(s(s(s(s(z)))), s(s(z)))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[938, 4603])).
% 2.97/3.18 tff(4605,plain,
% 2.97/3.18 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4464, 4604, 178, 76, 316])).
% 2.97/3.18 tff(4606,plain,
% 2.97/3.18 (r(s(s(z)), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4476, 4605])).
% 2.97/3.18 tff(4607,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4608,plain,
% 2.97/3.18 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(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(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4609,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 2.97/3.18 inference(monotonicity,[status(thm)],[4608])).
% 2.97/3.18 tff(4610,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.97/3.18 inference(transitivity,[status(thm)],[4609, 4607])).
% 2.97/3.18 tff(4611,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(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)))))),
% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(4612,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 2.97/3.18 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 2.97/3.18 tff(4613,plain,
% 2.97/3.18 ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4612, 91, 4538, 177, 316, 297])).
% 2.97/3.18 tff(4614,plain,
% 2.97/3.18 (~b(s(s(z)), s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4613, 4604])).
% 2.97/3.18 tff(4615,plain,
% 2.97/3.18 (r(s(s(z)), s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[857, 4614])).
% 2.97/3.18 tff(4616,plain,
% 2.97/3.18 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4572, 125, 73, 136, 4615, 4606])).
% 2.97/3.18 tff(4617,plain,
% 2.97/3.18 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[909, 64, 4616, 4435])).
% 2.97/3.18 tff(4618,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4619,plain,
% 2.97/3.18 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4620,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 2.97/3.18 inference(monotonicity,[status(thm)],[4619])).
% 2.97/3.18 tff(4621,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(transitivity,[status(thm)],[4620, 4618])).
% 2.97/3.18 tff(4622,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(4623,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.97/3.18 inference(modus_ponens,[status(thm)],[4622, 4621])).
% 2.97/3.18 tff(4624,plain,
% 2.97/3.18 ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4623, 91, 77, 4538, 178, 177])).
% 2.97/3.18 tff(4625,plain,
% 2.97/3.18 (~b(s(s(s(s(s(z))))), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4624, 4617])).
% 2.97/3.18 tff(4626,plain,
% 2.97/3.18 (r(s(s(s(s(s(z))))), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[427, 4625])).
% 2.97/3.18 tff(4627,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4628,plain,
% 2.97/3.18 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), 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)))))),
% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(4629,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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))))))),
% 2.97/3.18 inference(monotonicity,[status(thm)],[4628])).
% 2.97/3.18 tff(4630,plain,
% 2.97/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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)))))),
% 2.97/3.18 inference(transitivity,[status(thm)],[4629, 4627])).
% 2.97/3.18 tff(4631,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(4632,plain,
% 2.97/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.97/3.18 inference(modus_ponens,[status(thm)],[4631, 4630])).
% 2.97/3.18 tff(4633,plain,
% 2.97/3.18 ($false),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[4632, 91, 3382, 924, 178, 923])).
% 2.97/3.18 tff(4634,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.19 tff(4635,plain,
% 2.97/3.19 (~b(z, s(s(z)))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4634, 4604, 4538, 178])).
% 2.97/3.19 tff(4636,plain,
% 2.97/3.19 (r(z, s(s(z)))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[3400, 4635])).
% 2.97/3.19 tff(4637,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(4638,plain,
% 2.97/3.19 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(4639,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.97/3.19 inference(monotonicity,[status(thm)],[4638])).
% 2.97/3.19 tff(4640,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(transitivity,[status(thm)],[4639, 4637])).
% 2.97/3.19 tff(4641,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))),
% 2.97/3.19 inference(quant_inst,[status(thm)],[])).
% 2.97/3.19 tff(4642,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.97/3.19 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 2.97/3.19 tff(4643,plain,
% 2.97/3.19 ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4642, 125, 4636, 73, 4606])).
% 2.97/3.19 tff(4644,plain,
% 2.97/3.19 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4643, 4626])).
% 2.97/3.19 tff(4645,plain,
% 2.97/3.19 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[144, 136, 135, 73])).
% 2.97/3.19 tff(4646,plain,
% 2.97/3.19 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[689, 4645])).
% 2.97/3.19 tff(4647,plain,
% 2.97/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(4648,plain,
% 2.97/3.19 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(4649,plain,
% 2.97/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 2.97/3.19 inference(monotonicity,[status(thm)],[4648])).
% 2.97/3.19 tff(4650,plain,
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% 2.97/3.19 inference(modus_ponens,[status(thm)],[4651, 4650])).
% 2.97/3.19 tff(4653,plain,
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% 2.97/3.19 inference(unit_resolution,[status(thm)],[4652, 91, 77, 4617, 4604, 4646])).
% 2.97/3.19 tff(4654,plain,
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% 2.97/3.19 inference(unit_resolution,[status(thm)],[921, 64, 785, 4653, 4644])).
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% 2.97/3.19 inference(unit_resolution,[status(thm)],[69, 4656])).
% 2.97/3.19 tff(4662,plain,
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% 2.97/3.19 tff(4663,plain,
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% 2.97/3.19 inference(unit_resolution,[status(thm)],[542, 4662])).
% 2.97/3.19 tff(4664,plain,
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% 2.97/3.19 inference(unit_resolution,[status(thm)],[2955, 4663, 4658, 297, 177])).
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% 2.97/3.19 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
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% 2.97/3.19 inference(monotonicity,[status(thm)],[4687])).
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% 2.97/3.19 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[1373, 410, 204, 216, 73])).
% 2.97/3.19 tff(4709,plain,
% 2.97/3.19 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[295, 4708])).
% 2.97/3.19 tff(4710,plain,
% 2.97/3.19 ($false),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[2955, 4709, 4707, 177, 4705])).
% 2.97/3.19 tff(4711,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.19 tff(4712,plain,
% 2.97/3.19 (~r(s(s(s(s(s(z))))), s(z))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4711, 73, 204, 216, 177, 4703])).
% 2.97/3.19 tff(4713,plain,
% 2.97/3.19 (b(s(s(s(s(s(z))))), s(z))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[394, 4712])).
% 2.97/3.19 tff(4714,plain,
% 2.97/3.19 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[1158, 79, 178, 177, 348, 77])).
% 2.97/3.19 tff(4715,plain,
% 2.97/3.19 (r(s(s(s(s(s(s(z)))))), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[763, 4714])).
% 2.97/3.19 tff(4716,plain,
% 2.97/3.19 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[1276, 4715, 204, 1020, 4703])).
% 2.97/3.19 tff(4717,plain,
% 2.97/3.19 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[542, 4716])).
% 2.97/3.19 tff(4718,plain,
% 2.97/3.19 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[2955, 4717, 177, 318])).
% 2.97/3.19 tff(4719,plain,
% 2.97/3.19 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[295, 4718])).
% 2.97/3.19 tff(4720,plain,
% 2.97/3.19 (~b(s(z), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[99, 79, 81, 77])).
% 2.97/3.19 tff(4721,plain,
% 2.97/3.19 (r(s(z), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[408, 4720])).
% 2.97/3.19 tff(4722,plain,
% 2.97/3.19 ($false),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[2666, 125, 204, 4703, 4721, 1020, 4719])).
% 2.97/3.19 tff(4723,plain,((~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(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(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.19 tff(4724,plain,
% 2.97/3.19 (~b(s(s(s(s(s(z))))), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4723, 4713, 1020, 177, 318, 81, 204, 178, 348])).
% 2.97/3.19 tff(4725,plain,
% 2.97/3.19 (r(s(s(s(s(s(z))))), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[427, 4724])).
% 2.97/3.19 tff(4726,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(4727,plain,
% 2.97/3.19 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(4728,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 2.97/3.19 inference(monotonicity,[status(thm)],[4727])).
% 2.97/3.19 tff(4729,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(transitivity,[status(thm)],[4728, 4726])).
% 2.97/3.19 tff(4730,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.97/3.19 inference(quant_inst,[status(thm)],[])).
% 2.97/3.19 tff(4731,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.97/3.19 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 2.97/3.19 tff(4732,plain,
% 2.97/3.19 ($false),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4731, 125, 204, 4725, 1020, 216, 73])).
% 2.97/3.19 tff(4733,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.19 tff(4734,plain,
% 2.97/3.19 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4733, 4683, 73, 4409, 177, 70, 4431, 317, 4429])).
% 2.97/3.19 tff(4735,plain,
% 2.97/3.19 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[246, 4734])).
% 2.97/3.19 tff(4736,plain,
% 2.97/3.19 ($false),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[386, 91, 77, 4429, 4735, 297])).
% 2.97/3.19 tff(4737,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.19 tff(4738,plain,
% 2.97/3.19 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[4737, 77, 297, 73, 177, 135, 316, 215, 169])).
% 2.97/3.19 tff(4739,plain,
% 2.97/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4740,plain,
% 3.04/3.20 (((~b(s(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4741,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.04/3.20 inference(monotonicity,[status(thm)],[4740])).
% 3.04/3.20 tff(4742,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.04/3.20 inference(transitivity,[status(thm)],[4741, 4739])).
% 3.04/3.20 tff(4743,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.04/3.20 inference(quant_inst,[status(thm)],[])).
% 3.04/3.20 tff(4744,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.04/3.20 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 3.04/3.20 tff(4745,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4744, 91, 4738, 317, 177, 316])).
% 3.04/3.20 tff(4746,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[314, 4745])).
% 3.04/3.20 tff(4747,plain,
% 3.04/3.20 (~r(s(z), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3970, 125, 135, 4681, 4746, 73])).
% 3.04/3.20 tff(4748,plain,
% 3.04/3.20 (b(s(z), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[163, 4747])).
% 3.04/3.20 tff(4749,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4750,plain,
% 3.04/3.20 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4751,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.20 inference(monotonicity,[status(thm)],[4750])).
% 3.04/3.20 tff(4752,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(transitivity,[status(thm)],[4751, 4749])).
% 3.04/3.20 tff(4753,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(quant_inst,[status(thm)],[])).
% 3.04/3.20 tff(4754,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 3.04/3.20 tff(4755,plain,
% 3.04/3.20 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4754, 91, 77, 4738, 177, 297])).
% 3.04/3.20 tff(4756,plain,
% 3.04/3.20 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4755, 4748])).
% 3.04/3.20 tff(4757,plain,
% 3.04/3.20 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[246, 4756])).
% 3.04/3.20 tff(4758,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4445, 4738, 177, 297])).
% 3.04/3.20 tff(4759,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[336, 4758])).
% 3.04/3.20 tff(4760,plain,
% 3.04/3.20 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4419, 4748, 297, 77])).
% 3.04/3.20 tff(4761,plain,
% 3.04/3.20 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1313, 4760])).
% 3.04/3.20 tff(4762,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4355, 4748, 77, 177])).
% 3.04/3.20 tff(4763,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[689, 4762])).
% 3.04/3.20 tff(4764,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4195, 4763, 4761, 4759, 4757])).
% 3.04/3.20 tff(4765,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(4766,plain,
% 3.04/3.20 (~b(s(s(s(s(s(z))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4765, 73, 297, 135, 177, 316, 215, 169])).
% 3.04/3.20 tff(4767,plain,
% 3.04/3.20 (r(s(s(s(s(s(z))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[394, 4766])).
% 3.04/3.20 tff(4768,plain,
% 3.04/3.20 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4711, 70, 177, 73, 410, 135])).
% 3.04/3.20 tff(4769,plain,
% 3.04/3.20 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[246, 4768])).
% 3.04/3.20 tff(4770,plain,
% 3.04/3.20 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4313, 125, 410, 70, 135, 4411])).
% 3.04/3.20 tff(4771,plain,
% 3.04/3.20 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1313, 4770])).
% 3.04/3.20 tff(4772,plain,
% 3.04/3.20 (~b(s(z), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[501, 4771, 297, 4769])).
% 3.04/3.20 tff(4773,plain,
% 3.04/3.20 (r(s(z), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[163, 4772])).
% 3.04/3.20 tff(4774,plain,
% 3.04/3.20 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[144, 4773, 135, 73])).
% 3.04/3.20 tff(4775,plain,
% 3.04/3.20 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[689, 4774])).
% 3.04/3.20 tff(4776,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4777,plain,
% 3.04/3.20 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4778,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.04/3.20 inference(monotonicity,[status(thm)],[4777])).
% 3.04/3.20 tff(4779,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(transitivity,[status(thm)],[4778, 4776])).
% 3.04/3.20 tff(4780,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(quant_inst,[status(thm)],[])).
% 3.04/3.20 tff(4781,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(modus_ponens,[status(thm)],[4780, 4779])).
% 3.04/3.20 tff(4782,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4781, 91, 4771, 4409, 4775, 4769])).
% 3.04/3.20 tff(4783,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(4784,plain,
% 3.04/3.20 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4783, 73, 135, 297, 4767, 177, 215, 169])).
% 3.04/3.20 tff(4785,plain,
% 3.04/3.20 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4744, 91, 317, 177, 316])).
% 3.04/3.20 tff(4786,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4785, 4784])).
% 3.04/3.20 tff(4787,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[314, 4786])).
% 3.04/3.20 tff(4788,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4445, 4784, 177, 297])).
% 3.04/3.20 tff(4789,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[336, 4788])).
% 3.04/3.20 tff(4790,plain,
% 3.04/3.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4791,plain,
% 3.04/3.20 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4792,plain,
% 3.04/3.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.20 inference(monotonicity,[status(thm)],[4791])).
% 3.04/3.20 tff(4793,plain,
% 3.04/3.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.20 inference(transitivity,[status(thm)],[4792, 4790])).
% 3.04/3.20 tff(4794,plain,
% 3.04/3.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.04/3.20 inference(quant_inst,[status(thm)],[])).
% 3.04/3.20 tff(4795,plain,
% 3.04/3.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.20 inference(modus_ponens,[status(thm)],[4794, 4793])).
% 3.04/3.20 tff(4796,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4795, 125, 410, 135, 71, 1020, 73])).
% 3.04/3.20 tff(4797,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(4798,plain,
% 3.04/3.20 (~r(s(s(s(s(s(z))))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4797, 4767, 135, 4787, 73])).
% 3.04/3.20 tff(4799,plain,
% 3.04/3.20 (b(s(s(s(s(s(z))))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[427, 4798])).
% 3.04/3.20 tff(4800,plain,
% 3.04/3.20 (~b(z, s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[419, 348, 316, 79])).
% 3.04/3.20 tff(4801,plain,
% 3.04/3.20 (r(z, s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[113, 4800])).
% 3.04/3.20 tff(4802,plain,
% 3.04/3.20 (~b(s(z), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1184, 4801, 178, 1020, 79, 348, 316, 297, 347])).
% 3.04/3.20 tff(4803,plain,
% 3.04/3.20 (r(s(z), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[408, 4802])).
% 3.04/3.20 tff(4804,plain,
% 3.04/3.20 (~r(s(z), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1124, 4803, 4801, 1020, 135])).
% 3.04/3.20 tff(4805,plain,
% 3.04/3.20 (b(s(z), s(s(s(s(s(z))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[163, 4804])).
% 3.04/3.20 tff(4806,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4807,plain,
% 3.04/3.20 (((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(4808,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[4807])).
% 3.04/3.21 tff(4809,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[4808, 4806])).
% 3.04/3.21 tff(4810,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(4811,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 3.04/3.21 tff(4812,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4811, 91, 76, 79, 4805, 178, 348, 297])).
% 3.04/3.21 tff(4813,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(4814,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4813, 4784, 4799, 317, 297, 4787, 135, 316, 4789])).
% 3.04/3.21 tff(4815,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[1313, 4814])).
% 3.04/3.21 tff(4816,plain,
% 3.04/3.21 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[3984, 4815, 4789, 215, 4787])).
% 3.04/3.21 tff(4817,plain,
% 3.04/3.21 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[689, 4816])).
% 3.04/3.21 tff(4818,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4819,plain,
% 3.04/3.21 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(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(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4820,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[4819])).
% 3.04/3.21 tff(4821,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[4820, 4818])).
% 3.04/3.21 tff(4822,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(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(s(s(s(z)))))))))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(4823,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[4822, 4821])).
% 3.04/3.21 tff(4824,plain,
% 3.04/3.21 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4823, 91, 76, 4456, 79, 669, 316])).
% 3.04/3.21 tff(4825,plain,
% 3.04/3.21 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[881, 64, 4824, 871])).
% 3.04/3.21 tff(4826,plain,
% 3.04/3.21 (~b(z, s(s(s(s(s(z))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4060, 669, 178, 79])).
% 3.04/3.21 tff(4827,plain,
% 3.04/3.21 (r(z, s(s(s(s(s(z))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[113, 4826])).
% 3.04/3.21 tff(4828,plain,
% 3.04/3.21 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4464, 4456, 178, 76, 316])).
% 3.04/3.21 tff(4829,plain,
% 3.04/3.21 (r(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[938, 4828])).
% 3.04/3.21 tff(4830,assumption,(r(s(s(s(s(s(z))))), s(s(z)))), introduced(assumption)).
% 3.04/3.21 tff(4831,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4832,plain,
% 3.04/3.21 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4833,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[4832])).
% 3.04/3.21 tff(4834,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[4833, 4831])).
% 3.04/3.21 tff(4835,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(4836,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[4835, 4834])).
% 3.04/3.21 tff(4837,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4836, 125, 410, 3102, 135, 73, 4830])).
% 3.04/3.21 tff(4838,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(4839,plain,
% 3.04/3.21 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4838, 4829, 410, 135, 73])).
% 3.04/3.21 tff(4840,plain,
% 3.04/3.21 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[921, 64, 785, 4839])).
% 3.04/3.21 tff(4841,assumption,(b(s(s(s(s(s(z))))), s(s(z)))), introduced(assumption)).
% 3.04/3.21 tff(4842,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4843,plain,
% 3.04/3.21 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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)))))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4844,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[4843])).
% 3.04/3.21 tff(4845,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[4844, 4842])).
% 3.04/3.21 tff(4846,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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)))))), z)))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(4847,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[4846, 4845])).
% 3.04/3.21 tff(4848,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4847, 91, 3382, 76, 178, 669, 316, 4841])).
% 3.04/3.21 tff(4849,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(4850,plain,
% 3.04/3.21 (~b(z, s(s(z)))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4849, 4840, 178, 669, 316, 76])).
% 3.04/3.21 tff(4851,plain,
% 3.04/3.21 (r(z, s(s(z)))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[3400, 4850])).
% 3.04/3.21 tff(4852,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4853,plain,
% 3.04/3.21 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4854,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[4853])).
% 3.04/3.21 tff(4855,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[4854, 4852])).
% 3.04/3.21 tff(4856,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(4857,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 3.04/3.21 tff(4858,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4857, 125, 4851, 4827, 203, 215, 4825])).
% 3.04/3.21 tff(4859,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(4860,plain,
% 3.04/3.21 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4859, 4815, 215, 4784, 4799, 4817, 316, 317, 4767, 135, 73])).
% 3.04/3.21 tff(4861,plain,
% 3.04/3.21 (r(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4476, 4860])).
% 3.04/3.21 tff(4862,plain,
% 3.04/3.21 ((s(z) = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = s(z))),
% 3.04/3.21 inference(commutativity,[status(thm)],[])).
% 3.04/3.21 tff(4863,plain,
% 3.04/3.21 ((s(s(s(s(s(s(z)))))) = s(z)) <=> (s(z) = s(s(s(s(s(s(z)))))))),
% 3.04/3.21 inference(symmetry,[status(thm)],[4862])).
% 3.04/3.21 tff(4864,plain,
% 3.04/3.21 ((~(s(s(s(s(s(s(z)))))) = s(z))) <=> (~(s(z) = s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[4863])).
% 3.04/3.21 tff(4865,plain,
% 3.04/3.21 (~(s(z) = s(s(s(s(s(s(z)))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[287, 4864])).
% 3.04/3.21 tff(4866,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4867,plain,
% 3.04/3.21 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(4868,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[4867])).
% 3.04/3.21 tff(4869,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[4868, 4866])).
% 3.04/3.22 tff(4870,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(4871,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 3.04/3.22 tff(4872,plain,
% 3.04/3.22 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4871, 125, 203, 135, 73, 136])).
% 3.04/3.22 tff(4873,plain,
% 3.04/3.22 ((s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z)))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[293, 64, 4872])).
% 3.04/3.22 tff(4874,plain,
% 3.04/3.22 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4873, 4865])).
% 3.04/3.22 tff(4875,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4876,plain,
% 3.04/3.22 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4877,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[4876])).
% 3.04/3.22 tff(4878,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[4877, 4875])).
% 3.04/3.22 tff(4879,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(4880,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[4879, 4878])).
% 3.04/3.22 tff(4881,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4880, 125, 410, 203, 545, 136])).
% 3.04/3.22 tff(4882,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(4883,plain,
% 3.04/3.22 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4882, 203, 410, 136])).
% 3.04/3.22 tff(4884,plain,
% 3.04/3.22 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[542, 4883])).
% 3.04/3.22 tff(4885,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4886,plain,
% 3.04/3.22 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4887,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[4886])).
% 3.04/3.22 tff(4888,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[4887, 4885])).
% 3.04/3.22 tff(4889,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(4890,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 3.04/3.22 tff(4891,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4890, 91, 76, 177, 4884, 4874])).
% 3.04/3.22 tff(4892,plain,((~r(s(s(s(s(s(s(z)))))), s(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(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(4893,plain,
% 3.04/3.22 (~r(s(z), s(s(s(s(s(z))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4892, 4815, 135, 73, 4767, 177, 4784])).
% 3.04/3.22 tff(4894,plain,
% 3.04/3.22 (b(s(z), s(s(s(s(s(z))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[163, 4893])).
% 3.04/3.22 tff(4895,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4896,plain,
% 3.04/3.22 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4897,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[4896])).
% 3.04/3.22 tff(4898,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.04/3.22 inference(transitivity,[status(thm)],[4897, 4895])).
% 3.04/3.22 tff(4899,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(4900,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 3.04/3.22 tff(4901,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4900, 91, 176, 669, 177, 72, 316, 298])).
% 3.04/3.22 tff(4902,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(4903,plain,
% 3.04/3.22 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4902, 72, 669, 177, 176, 316])).
% 3.04/3.22 tff(4904,plain,
% 3.04/3.22 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[246, 4903])).
% 3.04/3.22 tff(4905,plain,
% 3.04/3.22 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2993, 4904, 135, 73, 410])).
% 3.04/3.22 tff(4906,plain,
% 3.04/3.22 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[542, 4905])).
% 3.04/3.22 tff(4907,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4908,plain,
% 3.04/3.22 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4909,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[4908])).
% 3.04/3.22 tff(4910,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.04/3.22 inference(transitivity,[status(thm)],[4909, 4907])).
% 3.04/3.22 tff(4911,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(4912,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 3.04/3.22 tff(4913,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4912, 91, 176, 178, 669, 72, 316, 4906])).
% 3.04/3.22 tff(4914,plain,((~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(4915,plain,
% 3.04/3.22 (~b(s(z), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4914, 4894, 317, 4817, 316, 135, 73, 4767, 177])).
% 3.04/3.22 tff(4916,plain,
% 3.04/3.22 (r(s(z), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[408, 4915])).
% 3.04/3.22 tff(4917,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4918,plain,
% 3.04/3.22 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~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(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4919,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[4918])).
% 3.04/3.22 tff(4920,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[4919, 4917])).
% 3.04/3.22 tff(4921,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(4922,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 3.04/3.22 tff(4923,plain,
% 3.04/3.22 (~r(s(z), s(s(z)))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4922, 125, 135, 4916, 4787, 4861])).
% 3.04/3.22 tff(4924,plain,
% 3.04/3.22 (b(s(z), s(s(z)))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1004, 4923])).
% 3.04/3.22 tff(4925,assumption,(b(s(z), s(s(z)))), introduced(assumption)).
% 3.04/3.22 tff(4926,plain,
% 3.04/3.22 (~r(s(s(s(s(s(z))))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4797, 410, 135, 1020, 73])).
% 3.04/3.22 tff(4927,plain,
% 3.04/3.22 (b(s(s(s(s(s(z))))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[427, 4926])).
% 3.04/3.22 tff(4928,plain,
% 3.04/3.22 (~b(z, s(s(s(s(s(z))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4060, 669, 178, 4927])).
% 3.04/3.22 tff(4929,plain,
% 3.04/3.22 (r(z, s(s(s(s(s(z))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[113, 4928])).
% 3.04/3.22 tff(4930,plain,
% 3.04/3.22 (~r(s(s(z)), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2452, 125, 135, 1020, 836, 4539])).
% 3.04/3.22 tff(4931,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4932,plain,
% 3.04/3.22 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(4933,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[4932])).
% 3.04/3.22 tff(4934,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[4933, 4931])).
% 3.04/3.22 tff(4935,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(4936,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 3.04/3.23 tff(4937,plain,
% 3.04/3.23 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4936, 125, 75, 73, 4539])).
% 3.04/3.23 tff(4938,plain,
% 3.04/3.23 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4937, 836])).
% 3.04/3.23 tff(4939,plain,
% 3.04/3.23 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[909, 64, 4938, 4435])).
% 3.04/3.23 tff(4940,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4941,plain,
% 3.04/3.23 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), 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(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4942,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), 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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[4941])).
% 3.04/3.23 tff(4943,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), 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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.04/3.23 inference(transitivity,[status(thm)],[4942, 4940])).
% 3.04/3.23 tff(4944,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), 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)))))),
% 3.04/3.23 inference(quant_inst,[status(thm)],[])).
% 3.04/3.23 tff(4945,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[4944, 4943])).
% 3.04/3.23 tff(4946,plain,
% 3.04/3.23 (~b(s(s(z)), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4945, 91, 4939, 923, 4925, 177])).
% 3.04/3.23 tff(4947,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[857, 4946, 4930])).
% 3.04/3.23 tff(4948,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), 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)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(4949,plain,
% 3.04/3.23 (~r(s(s(z)), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4948, 923, 4925, 177, 135, 1020, 4539, 4929, 73])).
% 3.04/3.23 tff(4950,plain,
% 3.04/3.23 (b(s(s(z)), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[898, 4949])).
% 3.04/3.23 tff(4951,plain,
% 3.04/3.23 (~b(z, s(s(z)))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4634, 4950, 923, 178])).
% 3.04/3.23 tff(4952,plain,
% 3.04/3.23 (r(z, s(s(z)))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[3400, 4951])).
% 3.04/3.23 tff(4953,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4954,plain,
% 3.04/3.23 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4955,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[4954])).
% 3.04/3.23 tff(4956,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.23 inference(transitivity,[status(thm)],[4955, 4953])).
% 3.04/3.23 tff(4957,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.23 inference(quant_inst,[status(thm)],[])).
% 3.04/3.23 tff(4958,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[4957, 4956])).
% 3.04/3.23 tff(4959,plain,
% 3.04/3.23 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4958, 91, 4950, 76, 178, 4925, 297])).
% 3.04/3.23 tff(4960,plain,
% 3.04/3.23 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[3164, 4959])).
% 3.04/3.23 tff(4961,assumption,(r(s(s(z)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 3.04/3.23 tff(4962,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4963,plain,
% 3.04/3.23 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4964,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[4963])).
% 3.04/3.23 tff(4965,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.04/3.23 inference(transitivity,[status(thm)],[4964, 4962])).
% 3.04/3.23 tff(4966,plain,
% 3.04/3.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 3.04/3.23 inference(quant_inst,[status(thm)],[])).
% 3.04/3.23 tff(4967,plain,
% 3.04/3.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 3.04/3.23 tff(4968,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4967, 125, 3403, 215, 3103, 4961])).
% 3.04/3.23 tff(4969,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(4970,plain,
% 3.04/3.23 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4969, 4960, 215, 4952])).
% 3.04/3.23 tff(4971,plain,
% 3.04/3.23 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[881, 64, 4970, 871])).
% 3.04/3.23 tff(4972,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4973,plain,
% 3.04/3.23 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(z), 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(s(s(z)))), 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(z)), s(z))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4974,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(z), 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(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[4973])).
% 3.04/3.23 tff(4975,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(z), 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(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.04/3.23 inference(transitivity,[status(thm)],[4974, 4972])).
% 3.04/3.23 tff(4976,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(z), 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)))))),
% 3.04/3.23 inference(quant_inst,[status(thm)],[])).
% 3.04/3.23 tff(4977,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 3.04/3.23 tff(4978,plain,
% 3.04/3.23 (~b(s(s(z)), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4977, 91, 4950, 923, 4925, 177])).
% 3.04/3.23 tff(4979,plain,
% 3.04/3.23 (r(s(s(z)), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[857, 4978])).
% 3.04/3.23 tff(4980,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4981,plain,
% 3.04/3.23 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4982,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[4981])).
% 3.04/3.23 tff(4983,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.04/3.23 inference(transitivity,[status(thm)],[4982, 4980])).
% 3.04/3.23 tff(4984,plain,
% 3.04/3.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.23 inference(quant_inst,[status(thm)],[])).
% 3.04/3.23 tff(4985,plain,
% 3.04/3.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 3.04/3.23 tff(4986,plain,
% 3.04/3.23 ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4985, 125, 410, 135, 4539])).
% 3.04/3.23 tff(4987,plain,
% 3.04/3.23 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[4986, 4979])).
% 3.04/3.23 tff(4988,plain,
% 3.04/3.23 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[909, 64, 4987, 4435])).
% 3.04/3.23 tff(4989,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4990,plain,
% 3.04/3.23 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(4991,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[4990])).
% 3.04/3.23 tff(4992,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.24 inference(transitivity,[status(thm)],[4991, 4989])).
% 3.04/3.24 tff(4993,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))))),
% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(4994,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 3.04/3.24 tff(4995,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4994, 91, 76, 4988, 4971, 4925, 669, 297])).
% 3.04/3.24 tff(4996,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(4997,plain,
% 3.04/3.24 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4996, 4784, 4924, 4817, 297, 4767, 135, 4861, 215, 177, 317, 4787, 73])).
% 3.04/3.24 tff(4998,plain,
% 3.04/3.24 (r(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[938, 4997])).
% 3.04/3.24 tff(4999,plain,
% 3.04/3.24 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4838, 4998, 4767, 135, 73])).
% 3.04/3.24 tff(5000,plain,
% 3.04/3.24 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[921, 64, 785, 4999])).
% 3.04/3.24 tff(5001,plain,
% 3.04/3.24 (~b(z, s(s(s(s(s(z))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4060, 4817, 317, 4799])).
% 3.04/3.24 tff(5002,plain,
% 3.04/3.24 (r(z, s(s(s(s(s(z))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[113, 5001])).
% 3.04/3.24 tff(5003,plain,
% 3.04/3.24 (~b(z, s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4849, 5000, 317, 4817, 316, 4784])).
% 3.04/3.24 tff(5004,plain,
% 3.04/3.24 (r(z, s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[3400, 5003])).
% 3.04/3.24 tff(5005,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5006,plain,
% 3.04/3.24 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5007,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[5006])).
% 3.04/3.24 tff(5008,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(transitivity,[status(thm)],[5007, 5005])).
% 3.04/3.24 tff(5009,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))))),
% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(5010,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.04/3.24 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 3.04/3.24 tff(5011,plain,
% 3.04/3.24 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[5010, 91, 924, 176, 4925, 4841])).
% 3.04/3.24 tff(5012,plain,
% 3.04/3.24 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[909, 64, 5011, 4435])).
% 3.04/3.24 tff(5013,plain,
% 3.04/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4958, 91, 924, 76, 178, 4925, 297])).
% 3.04/3.24 tff(5014,plain,
% 3.04/3.24 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[3164, 5013])).
% 3.04/3.24 tff(5015,plain,
% 3.04/3.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5016,plain,
% 3.04/3.24 (((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5017,plain,
% 3.04/3.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[5016])).
% 3.04/3.24 tff(5018,plain,
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% 3.04/3.24 inference(transitivity,[status(thm)],[5017, 5015])).
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% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(5020,plain,
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% 3.04/3.24 inference(modus_ponens,[status(thm)],[5019, 5018])).
% 3.04/3.24 tff(5021,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[5020, 125, 3403, 75, 215, 5014, 5012])).
% 3.04/3.24 tff(5022,plain,((~b(s(s(z)), z)) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
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% 3.04/3.24 tff(5024,plain,
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% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5026,plain,
% 3.04/3.24 (((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5027,plain,
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% 3.04/3.24 inference(monotonicity,[status(thm)],[5026])).
% 3.04/3.24 tff(5028,plain,
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% 3.04/3.24 inference(transitivity,[status(thm)],[5027, 5025])).
% 3.04/3.24 tff(5029,plain,
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% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
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% 3.04/3.24 tff(5033,plain,
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% 3.04/3.24 tff(5036,plain,
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% 3.04/3.24 inference(unit_resolution,[status(thm)],[542, 5035])).
% 3.04/3.24 tff(5037,plain,
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% 3.04/3.24 tff(5038,plain,
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% 3.04/3.24 tff(5039,plain,
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% 3.04/3.24 tff(5040,plain,
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% 3.04/3.24 tff(5041,plain,
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% 3.04/3.24 inference(unit_resolution,[status(thm)],[419, 5040, 316, 81])).
% 3.04/3.24 tff(5042,plain,
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% 3.04/3.24 tff(5044,plain,
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% 3.04/3.24 inference(rewrite,[status(thm)],[])).
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% 3.04/3.24 inference(monotonicity,[status(thm)],[5044])).
% 3.04/3.24 tff(5046,plain,
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% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
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% 3.04/3.24 tff(5051,plain,
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% 3.04/3.24 tff(5056,plain,
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% 3.04/3.24 tff(5058,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(5059,plain,
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% 3.04/3.24 tff(5064,plain,
% 3.04/3.24 (b(z, s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[3400, 5063])).
% 3.04/3.24 tff(5065,plain,
% 3.04/3.24 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4634, 5064, 924, 178])).
% 3.04/3.24 tff(5066,plain,
% 3.04/3.24 (r(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[938, 5065])).
% 3.04/3.24 tff(5067,plain,
% 3.04/3.24 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4555, 5066, 4499, 135])).
% 3.04/3.24 tff(5068,plain,
% 3.04/3.24 (b(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4476, 5067])).
% 3.04/3.24 tff(5069,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5070,plain,
% 3.04/3.24 (((~b(s(z), z)) | (~b(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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5071,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[5070])).
% 3.04/3.24 tff(5072,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.04/3.24 inference(transitivity,[status(thm)],[5071, 5069])).
% 3.04/3.24 tff(5073,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))),
% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(5074,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.04/3.24 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 3.04/3.24 tff(5075,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[5074, 91, 5064, 924, 5068, 178, 177, 72])).
% 3.04/3.24 tff(5076,plain,((~r(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(5077,plain,
% 3.04/3.24 (~r(s(z), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[5076, 924, 178, 177, 72, 135, 215, 545])).
% 3.04/3.24 tff(5078,plain,
% 3.04/3.24 (b(s(z), s(s(z)))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1004, 5077])).
% 3.04/3.24 tff(5079,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(z), z)))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5080,plain,
% 3.04/3.24 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, 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(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(5081,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, 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(X1, 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(z), s(s(z)))) | (~b(s(z), z))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[5080])).
% 3.04/3.25 tff(5082,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, 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(X1, 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(z), s(s(z)))) | (~b(s(z), z)))),
% 3.04/3.25 inference(transitivity,[status(thm)],[5081, 5079])).
% 3.04/3.25 tff(5083,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(5084,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), z))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 3.04/3.25 tff(5085,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5084, 91, 3382, 924, 5078, 72])).
% 3.04/3.25 tff(5086,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(5087,plain,
% 3.04/3.25 (~b(s(s(z)), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5086, 3382, 72, 178, 177, 135, 215, 545])).
% 3.04/3.25 tff(5088,plain,
% 3.04/3.25 (r(s(s(z)), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[898, 5087])).
% 3.04/3.25 tff(5089,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5090,plain,
% 3.04/3.25 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5091,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[5090])).
% 3.04/3.25 tff(5092,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[5091, 5089])).
% 3.04/3.25 tff(5093,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(5094,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 3.04/3.25 tff(5095,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5094, 125, 215, 71, 836, 216, 4830])).
% 3.04/3.25 tff(5096,plain,((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(5097,plain,
% 3.04/3.25 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5096, 5088, 71, 216, 215])).
% 3.04/3.25 tff(5098,assumption,(~r(s(s(s(s(s(z))))), s(s(z)))), introduced(assumption)).
% 3.04/3.25 tff(5099,assumption,(~b(s(s(s(s(s(z))))), s(s(z)))), introduced(assumption)).
% 3.04/3.25 tff(5100,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[921, 64, 785, 5099, 5098])).
% 3.04/3.25 tff(5101,plain,(r(s(s(s(s(s(z))))), s(s(z))) | b(s(s(s(s(s(z))))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(5102,plain,
% 3.04/3.25 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5101, 5097])).
% 3.04/3.25 tff(5103,plain,
% 3.04/3.25 (~r(s(s(s(s(s(z))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[654, 216, 545, 215, 71])).
% 3.04/3.25 tff(5104,plain,
% 3.04/3.25 (b(s(s(s(s(s(z))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[394, 5103])).
% 3.04/3.25 tff(5105,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5106,plain,
% 3.04/3.25 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5107,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[5106])).
% 3.04/3.25 tff(5108,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[5107, 5105])).
% 3.04/3.25 tff(5109,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(5110,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[5109, 5108])).
% 3.04/3.25 tff(5111,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5110, 91, 3382, 77, 4456, 81, 177, 4841])).
% 3.04/3.25 tff(5112,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(5113,plain,
% 3.04/3.25 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5112, 3382, 5104, 81, 177, 5102])).
% 3.04/3.25 tff(5114,plain,
% 3.04/3.25 (r(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[4476, 5113])).
% 3.04/3.25 tff(5115,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5116,plain,
% 3.04/3.25 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5117,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[5116])).
% 3.04/3.25 tff(5118,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[5117, 5115])).
% 3.04/3.25 tff(5119,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(5120,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 3.04/3.25 tff(5121,plain,
% 3.04/3.25 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5120, 125, 71, 5088, 115])).
% 3.04/3.25 tff(5122,plain,
% 3.04/3.25 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5121, 5114])).
% 3.04/3.25 tff(5123,plain,
% 3.04/3.25 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[909, 64, 5122, 4435])).
% 3.04/3.25 tff(5124,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5125,plain,
% 3.04/3.25 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5126,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[5125])).
% 3.04/3.25 tff(5127,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[5126, 5124])).
% 3.04/3.25 tff(5128,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(5129,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[5128, 5127])).
% 3.04/3.25 tff(5130,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5129, 91, 3382, 5104, 81, 5123, 5102])).
% 3.04/3.25 tff(5131,plain,((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(5132,plain,
% 3.04/3.25 (~b(z, s(s(z)))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5131, 81, 5042, 5038, 177, 5052, 215, 5060, 178, 135, 5036])).
% 3.04/3.25 tff(5133,plain,
% 3.04/3.25 (r(z, s(s(z)))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[3400, 5132])).
% 3.04/3.25 tff(5134,plain,
% 3.04/3.25 (~r(s(z), s(s(z)))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[4507, 5133, 5062, 215, 5036])).
% 3.04/3.25 tff(5135,plain,
% 3.04/3.25 (b(s(z), s(s(z)))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1004, 5134])).
% 3.04/3.25 tff(5136,plain,
% 3.04/3.25 (~b(s(s(s(s(z)))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[326, 318, 316, 178])).
% 3.04/3.25 tff(5137,plain,
% 3.04/3.25 (r(s(s(s(s(z)))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[314, 5136])).
% 3.04/3.25 tff(5138,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5139,plain,
% 3.04/3.25 (((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(5140,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[5139])).
% 3.04/3.25 tff(5141,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[5140, 5138])).
% 3.04/3.25 tff(5142,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(5143,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[5142, 5141])).
% 3.04/3.25 tff(5144,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[5143, 125, 3403, 3102, 71, 1020, 115])).
% 3.04/3.25 tff(5145,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(5146,plain,
% 3.04/3.26 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5145, 5133, 5137, 5038, 5042])).
% 3.04/3.26 tff(5147,plain,
% 3.04/3.26 (b(s(s(s(s(z)))), s(s(z)))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[938, 5146])).
% 3.04/3.26 tff(5148,assumption,(b(s(s(z)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 3.04/3.26 tff(5149,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5150,plain,
% 3.04/3.26 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(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(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5151,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[5150])).
% 3.04/3.26 tff(5152,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))),
% 3.04/3.26 inference(transitivity,[status(thm)],[5151, 5149])).
% 3.04/3.26 tff(5153,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(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))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(5154,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[5153, 5152])).
% 3.04/3.26 tff(5155,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5154, 91, 5148, 923, 4925, 177, 72, 316])).
% 3.04/3.26 tff(5156,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(5157,plain,
% 3.04/3.26 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5156, 5147, 5135, 177, 5060, 316])).
% 3.04/3.26 tff(5158,plain,
% 3.04/3.26 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[881, 64, 5157, 871])).
% 3.04/3.26 tff(5159,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5160,plain,
% 3.04/3.26 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5161,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[5160])).
% 3.04/3.26 tff(5162,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[5161, 5159])).
% 3.04/3.26 tff(5163,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(5164,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 3.04/3.26 tff(5165,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5164, 125, 5133, 215, 5062, 5158, 5036])).
% 3.04/3.26 tff(5166,plain,((~b(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(5167,plain,
% 3.04/3.26 (~b(z, s(s(s(s(s(z))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5166, 70, 177, 316, 317, 135, 215, 297, 5034, 4409])).
% 3.04/3.26 tff(5168,plain,
% 3.04/3.26 (r(z, s(s(s(s(s(z))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[113, 5167])).
% 3.04/3.26 tff(5169,plain,
% 3.04/3.26 (~r(s(z), s(s(s(s(s(z))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1124, 411, 5168, 4431, 135])).
% 3.04/3.26 tff(5170,plain,
% 3.04/3.26 (b(s(z), s(s(s(s(s(z))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[163, 5169])).
% 3.04/3.26 tff(5171,plain,
% 3.04/3.26 (~b(s(s(s(s(s(z))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[4425, 5170, 135, 70, 4411, 177, 297])).
% 3.04/3.26 tff(5172,plain,
% 3.04/3.26 (r(s(s(s(s(s(z))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[394, 5171])).
% 3.04/3.26 tff(5173,plain,
% 3.04/3.26 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[4131, 91, 317, 316, 5034, 297])).
% 3.04/3.26 tff(5174,plain,
% 3.04/3.26 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5173, 5170])).
% 3.04/3.26 tff(5175,plain,
% 3.04/3.26 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[246, 5174])).
% 3.04/3.26 tff(5176,plain,
% 3.04/3.26 (b(s(s(s(s(z)))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[3913, 101, 177, 169, 1, 684, 216])).
% 3.04/3.26 tff(5177,plain,
% 3.04/3.26 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[489, 5176, 317, 177, 1203])).
% 3.04/3.26 tff(5178,plain,
% 3.04/3.26 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[369, 5177])).
% 3.04/3.26 tff(5179,plain,
% 3.04/3.26 (~b(s(z), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[403, 5176, 177, 317])).
% 3.04/3.26 tff(5180,plain,
% 3.04/3.26 (r(s(z), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[408, 5179])).
% 3.04/3.26 tff(5181,plain,
% 3.04/3.26 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1261, 565, 178, 75, 216, 177])).
% 3.04/3.26 tff(5182,plain,
% 3.04/3.26 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[336, 5181])).
% 3.04/3.26 tff(5183,plain,
% 3.04/3.26 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5184,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[5183])).
% 3.04/3.26 tff(5185,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[5184, 371])).
% 3.04/3.26 tff(5186,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(5187,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 3.04/3.26 tff(5188,plain,
% 3.04/3.26 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5187, 125, 204, 5182, 216])).
% 3.04/3.26 tff(5189,plain,
% 3.04/3.26 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[369, 5188])).
% 3.04/3.26 tff(5190,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), 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(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5191,plain,
% 3.04/3.26 (((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5192,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[5191])).
% 3.04/3.26 tff(5193,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[5192, 5190])).
% 3.04/3.26 tff(5194,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(5195,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 3.04/3.26 tff(5196,plain,
% 3.04/3.26 (~b(s(s(s(s(s(z))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5195, 91, 565, 177, 5189])).
% 3.04/3.26 tff(5197,plain,
% 3.04/3.26 (r(s(s(s(s(s(z))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[394, 5196])).
% 3.04/3.26 tff(5198,plain,
% 3.04/3.26 (~b(s(s(s(s(s(z))))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1194, 91, 565, 178, 177, 5189])).
% 3.04/3.26 tff(5199,plain,
% 3.04/3.26 (r(s(s(s(s(s(z))))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[427, 5198])).
% 3.04/3.26 tff(5200,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[447, 5199, 5197, 4685, 411])).
% 3.04/3.26 tff(5201,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(5202,plain,
% 3.04/3.26 (~b(s(z), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5201, 5180, 317, 177, 70, 216, 1203])).
% 3.04/3.26 tff(5203,plain,
% 3.04/3.26 (r(s(z), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[563, 5202])).
% 3.04/3.26 tff(5204,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5205,plain,
% 3.04/3.26 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5206,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[5205])).
% 3.04/3.26 tff(5207,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[5206, 5204])).
% 3.04/3.26 tff(5208,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(5209,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 3.04/3.26 tff(5210,plain,
% 3.04/3.26 (~r(s(z), s(s(s(s(s(z))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[5209, 125, 1203, 5203, 5180, 5178])).
% 3.04/3.26 tff(5211,plain,
% 3.04/3.26 (b(s(z), s(s(s(s(s(z))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[163, 5210])).
% 3.04/3.26 tff(5212,plain,
% 3.04/3.26 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[378, 5178, 216, 70])).
% 3.04/3.26 tff(5213,plain,
% 3.04/3.26 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[336, 5212])).
% 3.04/3.26 tff(5214,plain,
% 3.04/3.26 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[326, 5213, 5176, 317])).
% 3.04/3.26 tff(5215,plain,
% 3.04/3.26 (r(s(s(s(s(s(s(z)))))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[763, 5214])).
% 3.04/3.26 tff(5216,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5217,plain,
% 3.04/3.26 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(5218,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[5217])).
% 3.04/3.26 tff(5219,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[5218, 5216])).
% 3.04/3.26 tff(5220,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(5221,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 3.04/3.27 tff(5222,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5221, 125, 5215, 1203, 70, 5178])).
% 3.04/3.27 tff(5223,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[1313, 5222])).
% 3.04/3.27 tff(5224,plain,
% 3.04/3.27 (~r(s(s(s(s(s(z))))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[4711, 5178, 70, 216, 177, 5203])).
% 3.04/3.27 tff(5225,plain,
% 3.04/3.27 (b(s(s(s(s(s(z))))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[394, 5224])).
% 3.04/3.27 tff(5226,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5227,plain,
% 3.04/3.27 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5228,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[5227])).
% 3.04/3.27 tff(5229,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[5228, 5226])).
% 3.04/3.27 tff(5230,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(5231,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[5230, 5229])).
% 3.04/3.27 tff(5232,plain,
% 3.04/3.27 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5231, 91, 5225, 5211, 5223])).
% 3.04/3.27 tff(5233,plain,
% 3.04/3.27 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[542, 5232])).
% 3.04/3.27 tff(5234,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5235,plain,
% 3.04/3.27 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5236,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[5235])).
% 3.04/3.27 tff(5237,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[5236, 5234])).
% 3.04/3.27 tff(5238,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(5239,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[5238, 5237])).
% 3.04/3.27 tff(5240,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5239, 125, 765, 204, 135, 270, 545])).
% 3.04/3.27 tff(5241,plain,((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(5242,plain,
% 3.04/3.27 (~r(z, s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5241, 5233, 70, 5203, 5215])).
% 3.04/3.27 tff(5243,plain,
% 3.04/3.27 (b(z, s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[267, 5242])).
% 3.04/3.27 tff(5244,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(s(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(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5245,plain,
% 3.04/3.27 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(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(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5246,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(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(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z))))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[5245])).
% 3.04/3.27 tff(5247,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(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(X1, 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(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[5246, 5244])).
% 3.04/3.27 tff(5248,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(5249,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z))))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 3.04/3.27 tff(5250,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5249, 91, 5225, 5243, 5211, 317, 177])).
% 3.04/3.27 tff(5251,plain,(b(z, s(s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | r(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(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(5252,plain,
% 3.04/3.27 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5251, 5175, 169, 177, 1, 5167])).
% 3.04/3.27 tff(5253,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5254,plain,
% 3.04/3.27 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5255,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[5254])).
% 3.04/3.27 tff(5256,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)))),
% 3.04/3.27 inference(transitivity,[status(thm)],[5255, 5253])).
% 3.04/3.27 tff(5257,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(5258,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[5257, 5256])).
% 3.04/3.27 tff(5259,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5258, 125, 410, 215, 411, 71, 216])).
% 3.04/3.27 tff(5260,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(5261,plain,
% 3.04/3.27 (~r(s(s(s(s(s(z))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5260, 216, 215, 411, 410])).
% 3.04/3.27 tff(5262,plain,
% 3.04/3.27 (b(s(s(s(s(s(z))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[427, 5261])).
% 3.04/3.27 tff(5263,plain,
% 3.04/3.27 (~b(z, s(s(s(s(s(z))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[4060, 5262, 178, 669])).
% 3.04/3.27 tff(5264,plain,
% 3.04/3.27 (r(z, s(s(s(s(s(z))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[113, 5263])).
% 3.04/3.27 tff(5265,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[222, 125, 5264, 203, 215, 216])).
% 3.04/3.27 tff(5266,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(5267,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5266, 5175, 215, 317, 411, 5252, 5172])).
% 3.04/3.27 tff(5268,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[1313, 5267])).
% 3.04/3.27 tff(5269,plain,
% 3.04/3.27 (~r(s(s(s(s(s(z))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5260, 5172, 215, 411, 5175])).
% 3.04/3.27 tff(5270,plain,
% 3.04/3.27 (b(s(s(s(s(s(z))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[427, 5269])).
% 3.04/3.27 tff(5271,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5272,plain,
% 3.04/3.27 (((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5273,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[5272])).
% 3.04/3.27 tff(5274,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[5273, 5271])).
% 3.04/3.27 tff(5275,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(5276,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 3.04/3.27 tff(5277,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5276, 125, 3403, 135, 411, 1020, 4499])).
% 3.04/3.27 tff(5278,plain,((~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(5279,plain,
% 3.04/3.27 (~r(s(z), s(s(z)))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5278, 3403, 411, 1020, 135])).
% 3.04/3.27 tff(5280,plain,
% 3.04/3.27 (b(s(z), s(s(z)))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[1004, 5279])).
% 3.04/3.27 tff(5281,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5282,plain,
% 3.04/3.27 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(5283,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[5282])).
% 3.04/3.27 tff(5284,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[5283, 5281])).
% 3.04/3.27 tff(5285,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(5286,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 3.04/3.27 tff(5287,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[5286, 125, 3403, 75, 215, 3103, 216])).
% 3.04/3.27 tff(5288,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(5289,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5288, 3403, 75, 215, 216])).
% 3.04/3.28 tff(5290,plain,
% 3.04/3.28 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3164, 5289])).
% 3.04/3.28 tff(5291,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5292,plain,
% 3.04/3.28 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5293,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[5292])).
% 3.04/3.28 tff(5294,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[5293, 5291])).
% 3.04/3.28 tff(5295,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(5296,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 3.04/3.28 tff(5297,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5296, 91, 3151, 5148, 4925, 297])).
% 3.04/3.28 tff(5298,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(5299,plain,
% 3.04/3.28 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5298, 5290, 5280, 297])).
% 3.04/3.28 tff(5300,plain,
% 3.04/3.28 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[881, 64, 5299, 871])).
% 3.04/3.28 tff(5301,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5302,plain,
% 3.04/3.28 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5303,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[5302])).
% 3.04/3.28 tff(5304,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[5303, 5301])).
% 3.04/3.28 tff(5305,plain,
% 3.04/3.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(5306,plain,
% 3.04/3.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[5305, 5304])).
% 3.04/3.28 tff(5307,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5306, 125, 410, 4961, 216, 545, 4830])).
% 3.04/3.28 tff(5308,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(5309,plain,
% 3.04/3.28 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5308, 5300, 216, 5036, 410])).
% 3.04/3.28 tff(5310,plain,
% 3.04/3.28 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5101, 5309])).
% 3.04/3.28 tff(5311,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5312,plain,
% 3.04/3.28 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5313,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[5312])).
% 3.04/3.28 tff(5314,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[5313, 5311])).
% 3.04/3.28 tff(5315,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(5316,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[5315, 5314])).
% 3.04/3.28 tff(5317,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5316, 91, 348, 318, 5280, 177, 297, 5310])).
% 3.04/3.28 tff(5318,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(5319,plain,
% 3.04/3.28 (~r(z, s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5318, 5268, 4409, 177, 297, 5175, 5172, 5168, 215, 411, 4431, 135])).
% 3.04/3.28 tff(5320,plain,
% 3.04/3.28 (b(z, s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3400, 5319])).
% 3.04/3.28 tff(5321,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5322,plain,
% 3.04/3.28 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5323,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[5322])).
% 3.04/3.28 tff(5324,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[5323, 5321])).
% 3.04/3.28 tff(5325,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(5326,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[5325, 5324])).
% 3.04/3.28 tff(5327,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5326, 91, 3382, 4456, 79, 348, 316, 349])).
% 3.04/3.28 tff(5328,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(5329,plain,
% 3.04/3.28 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5328, 5320, 5270, 5268, 316, 5034])).
% 3.04/3.28 tff(5330,plain,
% 3.04/3.28 (r(s(s(z)), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[4476, 5329])).
% 3.04/3.28 tff(5331,plain,
% 3.04/3.28 (~r(s(z), s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[4922, 125, 135, 411, 4431, 5330])).
% 3.04/3.28 tff(5332,plain,
% 3.04/3.28 (b(s(z), s(s(z)))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[1004, 5331])).
% 3.04/3.28 tff(5333,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5334,plain,
% 3.04/3.28 (((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(5335,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[5334])).
% 3.04/3.28 tff(5336,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[5335, 5333])).
% 3.04/3.28 tff(5337,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(5338,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 3.04/3.28 tff(5339,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5338, 91, 5320, 4409, 5332, 177, 316, 297])).
% 3.04/3.28 tff(5340,plain,((~r(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(z))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(5341,plain,
% 3.04/3.28 (~r(s(z), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[5340, 1, 316, 297, 135, 215, 169, 177])).
% 3.04/3.28 tff(5342,plain,
% 3.04/3.28 (b(s(z), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[408, 5341])).
% 3.04/3.28 tff(5343,plain,
% 3.04/3.29 (~b(z, s(z))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[1182, 5342, 317, 177])).
% 3.04/3.29 tff(5344,plain,
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% 3.04/3.29 inference(unit_resolution,[status(thm)],[267, 5343])).
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% 3.04/3.29 tff(5346,plain,
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% 3.04/3.29 tff(5347,plain,
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% 3.04/3.29 tff(5348,plain,
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% 3.04/3.29 tff(5349,plain,
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% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5350,plain,
% 3.04/3.29 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5351,plain,
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% 3.04/3.29 inference(monotonicity,[status(thm)],[5350])).
% 3.04/3.29 tff(5352,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.29 inference(transitivity,[status(thm)],[5351, 5349])).
% 3.04/3.29 tff(5353,plain,
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% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(5354,plain,
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% 3.04/3.29 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 3.04/3.29 tff(5355,plain,
% 3.04/3.29 ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5354, 91, 317, 4409, 316, 5034])).
% 3.04/3.29 tff(5356,plain,
% 3.04/3.29 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5355, 5346])).
% 3.04/3.29 tff(5357,plain,
% 3.04/3.29 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[689, 5356])).
% 3.04/3.29 tff(5358,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[2969, 5357, 5348, 135, 70, 4411])).
% 3.04/3.29 tff(5359,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(5360,plain,
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% 3.04/3.29 tff(5361,plain,
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% 3.04/3.29 tff(5362,plain,
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% 3.04/3.29 inference(unit_resolution,[status(thm)],[336, 5361])).
% 3.04/3.29 tff(5363,plain,
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% 3.04/3.29 inference(unit_resolution,[status(thm)],[4785, 5360])).
% 3.04/3.29 tff(5364,plain,
% 3.04/3.29 (r(s(s(s(s(z)))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[314, 5363])).
% 3.04/3.29 tff(5365,plain,
% 3.04/3.29 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 3.04/3.29 tff(5366,plain,
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% 3.04/3.29 inference(unit_resolution,[status(thm)],[1313, 5365])).
% 3.04/3.29 tff(5367,plain,
% 3.04/3.29 (~r(s(s(s(s(s(z))))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[1040, 115, 347, 215, 1020])).
% 3.04/3.29 tff(5368,plain,
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% 3.04/3.29 inference(unit_resolution,[status(thm)],[427, 5367])).
% 3.04/3.29 tff(5369,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[4813, 5368, 5366, 76, 178, 297, 1020, 135, 316, 347])).
% 3.04/3.29 tff(5370,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(5371,plain,
% 3.04/3.29 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5370, 5360, 317, 297, 5364, 135, 316, 5362, 215])).
% 3.04/3.29 tff(5372,plain,
% 3.04/3.29 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 3.04/3.29 tff(5373,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(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: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5374,plain,
% 3.04/3.29 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5375,plain,
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% 3.04/3.29 inference(monotonicity,[status(thm)],[5374])).
% 3.04/3.29 tff(5376,plain,
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% 3.04/3.29 inference(transitivity,[status(thm)],[5375, 5373])).
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% 3.04/3.29 tff(5378,plain,
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% 3.04/3.29 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 3.04/3.29 tff(5379,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5378, 91, 5360, 317, 5372, 316, 5034])).
% 3.04/3.29 tff(5380,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(5381,plain,
% 3.04/3.29 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5380, 177, 297, 135, 316, 169])).
% 3.04/3.29 tff(5382,plain,
% 3.04/3.29 (b(z, s(s(s(s(s(s(z)))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[1093, 5381])).
% 3.04/3.29 tff(5383,plain,
% 3.04/3.29 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 3.04/3.29 tff(5384,plain,
% 3.04/3.29 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[336, 5383])).
% 3.04/3.29 tff(5385,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5386,plain,
% 3.04/3.29 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5387,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[5386])).
% 3.04/3.29 tff(5388,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.04/3.29 inference(transitivity,[status(thm)],[5387, 5385])).
% 3.04/3.29 tff(5389,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(5390,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[5389, 5388])).
% 3.04/3.29 tff(5391,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5390, 91, 76, 1073, 74, 316])).
% 3.04/3.29 tff(5392,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(5393,plain,
% 3.04/3.29 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5392, 74, 1073, 316])).
% 3.04/3.29 tff(5394,plain,
% 3.04/3.29 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[69, 5393])).
% 3.04/3.29 tff(5395,plain,
% 3.04/3.29 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[521, 5384, 178, 74, 297, 177, 5394, 316])).
% 3.04/3.29 tff(5396,plain,
% 3.04/3.29 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[1313, 5395])).
% 3.04/3.29 tff(5397,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5398,plain,
% 3.04/3.29 (((~b(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)))))), z)) | (~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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5399,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[5398])).
% 3.04/3.29 tff(5400,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.04/3.29 inference(transitivity,[status(thm)],[5399, 5397])).
% 3.04/3.29 tff(5401,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(5402,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 3.04/3.29 tff(5403,plain,
% 3.04/3.29 (~b(s(z), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5402, 91, 1073, 316, 297])).
% 3.04/3.29 tff(5404,plain,
% 3.04/3.29 (r(s(z), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[408, 5403])).
% 3.04/3.29 tff(5405,plain,
% 3.04/3.29 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[4383, 298, 178, 135, 177, 204, 203, 297])).
% 3.04/3.29 tff(5406,plain,
% 3.04/3.29 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[689, 5405])).
% 3.04/3.29 tff(5407,plain,
% 3.04/3.29 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[2969, 5406, 135, 204, 203])).
% 3.04/3.29 tff(5408,plain,
% 3.04/3.29 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[542, 5407])).
% 3.04/3.29 tff(5409,plain,
% 3.04/3.29 (~b(s(z), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[4323, 5408, 297, 298])).
% 3.04/3.29 tff(5410,plain,
% 3.04/3.29 (r(s(z), s(s(s(s(s(z))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[163, 5409])).
% 3.04/3.29 tff(5411,plain,
% 3.04/3.29 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[212, 5406, 204, 203])).
% 3.04/3.29 tff(5412,plain,
% 3.04/3.29 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[369, 5411])).
% 3.04/3.29 tff(5413,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5414,plain,
% 3.04/3.29 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(5415,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[5414])).
% 3.04/3.29 tff(5416,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.04/3.29 inference(transitivity,[status(thm)],[5415, 5413])).
% 3.04/3.29 tff(5417,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(5418,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 3.04/3.29 tff(5419,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5418, 91, 79, 1073, 177, 74, 526, 349])).
% 3.04/3.29 tff(5420,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(5421,plain,
% 3.04/3.29 (~b(s(s(s(s(s(z))))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5420, 5408, 177, 1073, 74, 5412])).
% 3.04/3.29 tff(5422,plain,
% 3.04/3.29 (r(s(s(s(s(s(z))))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[427, 5421])).
% 3.04/3.29 tff(5423,plain,
% 3.04/3.29 ($false),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[5058, 5422, 5410, 135, 411, 5406])).
% 3.04/3.30 tff(5424,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.30 tff(5425,plain,
% 3.04/3.30 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[5424, 74, 5404, 177, 1073, 135, 297, 5394, 5396, 178])).
% 3.04/3.30 tff(5426,plain,
% 3.04/3.30 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[246, 5425])).
% 3.04/3.30 tff(5427,plain,
% 3.04/3.30 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[378, 5426, 5394, 5384])).
% 3.04/3.30 tff(5428,plain,
% 3.04/3.30 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[369, 5427])).
% 3.04/3.30 tff(5429,plain,
% 3.04/3.30 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[489, 5428, 178, 177, 74])).
% 3.14/3.30 tff(5430,plain,
% 3.14/3.30 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[4195, 5426, 5384, 5396])).
% 3.14/3.30 tff(5431,plain,
% 3.14/3.30 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[689, 5430])).
% 3.14/3.30 tff(5432,plain,
% 3.14/3.30 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[677, 5431, 178, 5428])).
% 3.14/3.30 tff(5433,plain,
% 3.14/3.30 ($false),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[113, 5432, 5429])).
% 3.14/3.30 tff(5434,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.30 tff(5435,plain,
% 3.14/3.30 (~b(s(s(s(s(z)))), z)),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5434, 177, 178, 1073, 135, 297, 316])).
% 3.14/3.30 tff(5436,plain,
% 3.14/3.30 (r(s(s(s(s(z)))), z)),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[314, 5435])).
% 3.14/3.30 tff(5437,plain,
% 3.14/3.30 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[2969, 203, 135, 204, 115])).
% 3.14/3.30 tff(5438,plain,
% 3.14/3.30 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[542, 5437])).
% 3.14/3.30 tff(5439,plain,
% 3.14/3.30 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[2955, 5438, 297, 177])).
% 3.14/3.30 tff(5440,plain,
% 3.14/3.30 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[212, 203, 204, 115])).
% 3.14/3.30 tff(5441,plain,
% 3.14/3.30 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[369, 5440])).
% 3.14/3.30 tff(5442,plain,
% 3.14/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5443,plain,
% 3.14/3.30 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5444,plain,
% 3.14/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))))),
% 3.14/3.30 inference(monotonicity,[status(thm)],[5443])).
% 3.14/3.30 tff(5445,plain,
% 3.14/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.14/3.30 inference(transitivity,[status(thm)],[5444, 5442])).
% 3.14/3.30 tff(5446,plain,
% 3.14/3.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.14/3.30 inference(quant_inst,[status(thm)],[])).
% 3.14/3.30 tff(5447,plain,
% 3.14/3.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))),
% 3.14/3.30 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 3.14/3.30 tff(5448,plain,
% 3.14/3.30 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5447, 125, 204, 135, 347])).
% 3.14/3.30 tff(5449,plain,
% 3.14/3.30 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[295, 5448])).
% 3.14/3.30 tff(5450,plain,
% 3.14/3.30 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[3984, 347, 115, 1020, 203])).
% 3.14/3.30 tff(5451,plain,
% 3.14/3.30 (b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[1093, 5450])).
% 3.14/3.30 tff(5452,plain,
% 3.14/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5453,plain,
% 3.14/3.30 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5454,plain,
% 3.14/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(monotonicity,[status(thm)],[5453])).
% 3.14/3.30 tff(5455,plain,
% 3.14/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.14/3.30 inference(transitivity,[status(thm)],[5454, 5452])).
% 3.14/3.30 tff(5456,plain,
% 3.14/3.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(quant_inst,[status(thm)],[])).
% 3.14/3.30 tff(5457,plain,
% 3.14/3.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.14/3.30 inference(modus_ponens,[status(thm)],[5456, 5455])).
% 3.14/3.30 tff(5458,plain,
% 3.14/3.30 ($false),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5457, 125, 203, 71, 1020, 347, 115])).
% 3.14/3.30 tff(5459,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.30 tff(5460,plain,
% 3.14/3.30 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5459, 347, 115, 1020, 203])).
% 3.14/3.30 tff(5461,plain,
% 3.14/3.30 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[427, 5460])).
% 3.14/3.30 tff(5462,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5463,plain,
% 3.14/3.30 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5464,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.14/3.30 inference(monotonicity,[status(thm)],[5463])).
% 3.14/3.30 tff(5465,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(transitivity,[status(thm)],[5464, 5462])).
% 3.14/3.30 tff(5466,plain,
% 3.14/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.14/3.30 inference(quant_inst,[status(thm)],[])).
% 3.14/3.30 tff(5467,plain,
% 3.14/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.14/3.30 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 3.14/3.30 tff(5468,plain,
% 3.14/3.30 ($false),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5467, 91, 5461, 178, 5451, 177, 349, 5449])).
% 3.14/3.30 tff(5469,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.30 tff(5470,plain,
% 3.14/3.30 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5469, 5441, 178, 1020, 204, 115, 177, 135, 203])).
% 3.14/3.30 tff(5471,plain,
% 3.14/3.30 ($false),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[336, 5470, 5439])).
% 3.14/3.30 tff(5472,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.30 tff(5473,plain,
% 3.14/3.30 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5472, 115, 1020, 204, 178, 177, 135, 297])).
% 3.14/3.30 tff(5474,plain,
% 3.14/3.30 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[1313, 5473])).
% 3.14/3.30 tff(5475,plain,
% 3.14/3.30 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[501, 5474, 297, 298])).
% 3.14/3.30 tff(5476,plain,
% 3.14/3.30 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[163, 5475])).
% 3.14/3.30 tff(5477,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5478,plain,
% 3.14/3.30 (((~b(s(s(s(s(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(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5479,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(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(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 3.14/3.30 inference(monotonicity,[status(thm)],[5478])).
% 3.14/3.30 tff(5480,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(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(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(transitivity,[status(thm)],[5479, 5477])).
% 3.14/3.30 tff(5481,plain,
% 3.14/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(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(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.14/3.30 inference(quant_inst,[status(thm)],[])).
% 3.14/3.30 tff(5482,plain,
% 3.14/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.14/3.30 inference(modus_ponens,[status(thm)],[5481, 5480])).
% 3.14/3.30 tff(5483,plain,
% 3.14/3.30 ($false),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5482, 91, 79, 348, 1073, 298])).
% 3.14/3.30 tff(5484,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.30 tff(5485,plain,
% 3.14/3.30 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5484, 5474, 1073, 298])).
% 3.14/3.30 tff(5486,plain,
% 3.14/3.30 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[427, 5485])).
% 3.14/3.30 tff(5487,plain,
% 3.14/3.30 ($false),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5058, 5486, 5476, 135, 411, 115])).
% 3.14/3.30 tff(5488,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.30 tff(5489,plain,
% 3.14/3.30 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[5488, 298, 5404, 1073, 135, 297, 5436, 204, 178, 177])).
% 3.14/3.30 tff(5490,plain,
% 3.14/3.30 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[689, 5489])).
% 3.14/3.30 tff(5491,plain,
% 3.14/3.30 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[4383, 5490, 178, 135, 177, 204, 298, 297])).
% 3.14/3.30 tff(5492,plain,
% 3.14/3.30 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[1313, 5491])).
% 3.14/3.30 tff(5493,plain,
% 3.14/3.30 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[501, 5492, 297, 298])).
% 3.14/3.30 tff(5494,plain,
% 3.14/3.30 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[163, 5493])).
% 3.14/3.30 tff(5495,plain,
% 3.14/3.30 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[1124, 5494, 5404, 5436, 135])).
% 3.14/3.30 tff(5496,plain,
% 3.14/3.30 (b(z, s(s(s(s(s(z))))))),
% 3.14/3.30 inference(unit_resolution,[status(thm)],[113, 5495])).
% 3.14/3.30 tff(5497,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5498,plain,
% 3.14/3.30 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.30 inference(rewrite,[status(thm)],[])).
% 3.14/3.30 tff(5499,plain,
% 3.14/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.14/3.31 inference(monotonicity,[status(thm)],[5498])).
% 3.14/3.31 tff(5500,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(transitivity,[status(thm)],[5499, 5497])).
% 3.14/3.31 tff(5501,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))),
% 3.14/3.31 inference(quant_inst,[status(thm)],[])).
% 3.14/3.31 tff(5502,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.14/3.31 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 3.14/3.31 tff(5503,plain,
% 3.14/3.31 (~b(z, s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5502, 91, 1073, 316, 297])).
% 3.14/3.31 tff(5504,plain,
% 3.14/3.31 (r(z, s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[267, 5503])).
% 3.14/3.31 tff(5505,plain,
% 3.14/3.31 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[726, 5494, 316, 5404, 5504, 5492])).
% 3.14/3.31 tff(5506,plain,
% 3.14/3.31 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[394, 5505])).
% 3.14/3.31 tff(5507,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5508,plain,
% 3.14/3.31 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5509,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.14/3.31 inference(monotonicity,[status(thm)],[5508])).
% 3.14/3.31 tff(5510,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.31 inference(transitivity,[status(thm)],[5509, 5507])).
% 3.14/3.31 tff(5511,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.14/3.31 inference(quant_inst,[status(thm)],[])).
% 3.14/3.31 tff(5512,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.14/3.31 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 3.14/3.31 tff(5513,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5512, 91, 77, 81, 348, 1073, 298])).
% 3.14/3.31 tff(5514,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5515,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5514, 5506, 5496, 1073, 298, 5492])).
% 3.14/3.31 tff(5516,plain,((~b(s(s(s(s(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)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5517,plain,
% 3.14/3.31 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5516, 204, 316, 135, 297, 178, 177, 1073])).
% 3.14/3.31 tff(5518,plain,
% 3.14/3.31 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[246, 5517])).
% 3.14/3.31 tff(5519,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5520,plain,
% 3.14/3.31 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5521,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 3.14/3.31 inference(monotonicity,[status(thm)],[5520])).
% 3.14/3.31 tff(5522,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(transitivity,[status(thm)],[5521, 5519])).
% 3.14/3.31 tff(5523,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.14/3.31 inference(quant_inst,[status(thm)],[])).
% 3.14/3.31 tff(5524,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.14/3.31 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 3.14/3.31 tff(5525,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5524, 91, 79, 348, 1073, 316])).
% 3.14/3.31 tff(5526,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5527,plain,
% 3.14/3.31 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5526, 348, 1073, 316])).
% 3.14/3.31 tff(5528,plain,
% 3.14/3.31 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[427, 5527])).
% 3.14/3.31 tff(5529,plain,
% 3.14/3.31 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[447, 5528, 5404, 5504])).
% 3.14/3.31 tff(5530,plain,
% 3.14/3.31 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[394, 5529])).
% 3.14/3.31 tff(5531,plain,
% 3.14/3.31 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[4419, 5530, 297, 348])).
% 3.14/3.31 tff(5532,plain,
% 3.14/3.31 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[163, 5531])).
% 3.14/3.31 tff(5533,plain,
% 3.14/3.31 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5058, 5532, 135, 5404, 5528])).
% 3.14/3.31 tff(5534,plain,
% 3.14/3.31 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[689, 5533])).
% 3.14/3.31 tff(5535,plain,
% 3.14/3.31 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[1124, 5532, 5404, 5436, 135])).
% 3.14/3.31 tff(5536,plain,
% 3.14/3.31 (b(z, s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[113, 5535])).
% 3.14/3.31 tff(5537,plain,
% 3.14/3.31 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[677, 5536, 178, 5534])).
% 3.14/3.31 tff(5538,plain,
% 3.14/3.31 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[369, 5537])).
% 3.14/3.31 tff(5539,plain,
% 3.14/3.31 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[2955, 526, 297, 177])).
% 3.14/3.31 tff(5540,plain,
% 3.14/3.31 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[336, 5539])).
% 3.14/3.31 tff(5541,plain,
% 3.14/3.31 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[378, 5540, 204, 216])).
% 3.14/3.31 tff(5542,plain,
% 3.14/3.31 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[369, 5541])).
% 3.14/3.31 tff(5543,plain,
% 3.14/3.31 (~b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[1070, 5542, 177, 348, 669, 297])).
% 3.14/3.31 tff(5544,plain,
% 3.14/3.31 (r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[394, 5543])).
% 3.14/3.31 tff(5545,plain,
% 3.14/3.31 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[726, 5544, 316, 5404, 5504, 348])).
% 3.14/3.31 tff(5546,plain,
% 3.14/3.31 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[163, 5545])).
% 3.14/3.31 tff(5547,plain,
% 3.14/3.31 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[447, 5544, 5404, 5504])).
% 3.14/3.31 tff(5548,plain,
% 3.14/3.31 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[427, 5547])).
% 3.14/3.31 tff(5549,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), 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))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), 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))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5550,plain,
% 3.14/3.31 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), 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))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5551,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), 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))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.14/3.31 inference(monotonicity,[status(thm)],[5550])).
% 3.14/3.31 tff(5552,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), 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))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(transitivity,[status(thm)],[5551, 5549])).
% 3.14/3.31 tff(5553,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.14/3.31 inference(quant_inst,[status(thm)],[])).
% 3.14/3.31 tff(5554,plain,
% 3.14/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.14/3.31 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 3.14/3.31 tff(5555,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5554, 91, 5548, 5546, 348, 1073, 526, 297])).
% 3.14/3.31 tff(5556,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5557,plain,
% 3.14/3.31 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5556, 5534, 1073, 297, 316, 177, 348, 204, 5518])).
% 3.14/3.31 tff(5558,plain,
% 3.14/3.31 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[542, 5557])).
% 3.14/3.31 tff(5559,plain,
% 3.14/3.31 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[378, 73, 204, 216])).
% 3.14/3.31 tff(5560,plain,
% 3.14/3.31 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[336, 5559])).
% 3.14/3.31 tff(5561,plain,
% 3.14/3.31 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[1282, 5560, 178, 270, 216, 545, 204, 1020, 135])).
% 3.14/3.31 tff(5562,plain,
% 3.14/3.31 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[4733, 5560, 73, 216, 177, 204, 1020, 178, 348])).
% 3.14/3.31 tff(5563,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[113, 5562, 5561])).
% 3.14/3.31 tff(5564,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5565,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5564, 5558, 5538, 177, 204, 5436, 178, 348, 5504, 5518, 135])).
% 3.14/3.31 tff(5566,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5567,plain,
% 3.14/3.31 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5566, 204, 177, 178, 135, 1073, 297, 316])).
% 3.14/3.31 tff(5568,plain,
% 3.14/3.31 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[1313, 5567])).
% 3.14/3.31 tff(5569,plain,
% 3.14/3.31 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5472, 5568, 5436, 204, 178, 177, 135, 297])).
% 3.14/3.31 tff(5570,plain,
% 3.14/3.31 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[689, 5569])).
% 3.14/3.31 tff(5571,plain,
% 3.14/3.31 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5472, 203, 1020, 204, 178, 177, 135, 297])).
% 3.14/3.31 tff(5572,plain,
% 3.14/3.31 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[689, 5571])).
% 3.14/3.31 tff(5573,plain,
% 3.14/3.31 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[1124, 136, 411, 1020, 135])).
% 3.14/3.31 tff(5574,plain,
% 3.14/3.31 (b(z, s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[113, 5573])).
% 3.14/3.31 tff(5575,plain,
% 3.14/3.31 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[677, 5574, 178, 5572])).
% 3.14/3.31 tff(5576,plain,
% 3.14/3.31 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[369, 5575])).
% 3.14/3.31 tff(5577,plain,
% 3.14/3.31 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[378, 5576, 204, 216])).
% 3.14/3.31 tff(5578,plain,
% 3.14/3.31 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[336, 5577])).
% 3.14/3.31 tff(5579,plain,
% 3.14/3.31 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[4367, 5576, 204, 203, 136])).
% 3.14/3.31 tff(5580,plain,
% 3.14/3.31 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[542, 5579])).
% 3.14/3.31 tff(5581,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[2955, 5580, 5578, 297, 177])).
% 3.14/3.31 tff(5582,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5583,plain,
% 3.14/3.31 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5582, 204, 177, 297, 5568, 5518, 178, 5404, 5436, 135])).
% 3.14/3.31 tff(5584,plain,
% 3.14/3.31 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[163, 5583])).
% 3.14/3.31 tff(5585,plain,
% 3.14/3.31 (~b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[4355, 5584, 5570, 177])).
% 3.14/3.31 tff(5586,plain,
% 3.14/3.31 (r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[394, 5585])).
% 3.14/3.31 tff(5587,plain,
% 3.14/3.31 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[4711, 5586, 177, 204, 5518, 135])).
% 3.14/3.31 tff(5588,plain,
% 3.14/3.31 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[369, 5587])).
% 3.14/3.31 tff(5589,plain,
% 3.14/3.31 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[447, 5586, 5404, 5504])).
% 3.14/3.31 tff(5590,plain,
% 3.14/3.31 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[427, 5589])).
% 3.14/3.31 tff(5591,plain,
% 3.14/3.31 ($false),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[3920, 91, 5590, 178, 5570, 5588])).
% 3.14/3.31 tff(5592,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(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)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.31 tff(5593,plain,
% 3.14/3.31 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[5592, 177, 317, 135, 297, 5382, 316])).
% 3.14/3.31 tff(5594,plain,
% 3.14/3.31 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.31 inference(unit_resolution,[status(thm)],[69, 5593])).
% 3.14/3.31 tff(5595,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5596,plain,
% 3.14/3.31 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(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)))))), z))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.31 inference(rewrite,[status(thm)],[])).
% 3.14/3.31 tff(5597,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.14/3.31 inference(monotonicity,[status(thm)],[5596])).
% 3.14/3.31 tff(5598,plain,
% 3.14/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.32 inference(transitivity,[status(thm)],[5597, 5595])).
% 3.14/3.32 tff(5599,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 3.14/3.32 inference(quant_inst,[status(thm)],[])).
% 3.14/3.32 tff(5600,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 3.14/3.32 tff(5601,plain,
% 3.14/3.32 ($false),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5600, 91, 5594, 317, 5382, 177, 316, 297])).
% 3.14/3.32 tff(5602,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.32 tff(5603,plain,
% 3.14/3.32 (~b(s(s(s(s(z)))), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5602, 135, 297, 316, 169])).
% 3.14/3.32 tff(5604,plain,
% 3.14/3.32 (r(s(s(s(s(z)))), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[201, 5603])).
% 3.14/3.32 tff(5605,plain,
% 3.14/3.32 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[345, 74, 178, 316])).
% 3.14/3.32 tff(5606,plain,
% 3.14/3.32 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[69, 5605])).
% 3.14/3.32 tff(5607,plain,
% 3.14/3.32 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[4207, 203, 316, 178, 297, 544, 5384, 5606, 74])).
% 3.14/3.32 tff(5608,plain,
% 3.14/3.32 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[689, 5607])).
% 3.14/3.32 tff(5609,plain,
% 3.14/3.32 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[4227, 5608, 316, 178, 135, 544, 74, 297, 5606])).
% 3.14/3.32 tff(5610,plain,
% 3.14/3.32 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[246, 5609])).
% 3.14/3.32 tff(5611,plain,
% 3.14/3.32 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[378, 5610, 5384, 5606])).
% 3.14/3.32 tff(5612,plain,
% 3.14/3.32 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[369, 5611])).
% 3.14/3.32 tff(5613,plain,
% 3.14/3.32 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[597, 5612, 178, 74])).
% 3.14/3.32 tff(5614,plain,
% 3.14/3.32 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[427, 5613])).
% 3.14/3.32 tff(5615,plain,
% 3.14/3.32 (~b(s(z), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[607, 74, 178, 316, 297])).
% 3.14/3.32 tff(5616,plain,
% 3.14/3.32 (r(s(z), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[408, 5615])).
% 3.14/3.32 tff(5617,plain,
% 3.14/3.32 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[677, 5612, 178, 5608])).
% 3.14/3.32 tff(5618,plain,
% 3.14/3.32 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[113, 5617])).
% 3.14/3.32 tff(5619,plain,
% 3.14/3.32 ($false),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[751, 125, 75, 411, 71, 136])).
% 3.14/3.32 tff(5620,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.32 tff(5621,plain,
% 3.14/3.32 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5620, 5618, 5616, 5614])).
% 3.14/3.32 tff(5622,plain,
% 3.14/3.32 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[163, 5621])).
% 3.14/3.32 tff(5623,plain,
% 3.14/3.32 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[447, 5614, 5616, 5504])).
% 3.14/3.32 tff(5624,plain,
% 3.14/3.32 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[394, 5623])).
% 3.14/3.32 tff(5625,plain,
% 3.14/3.32 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[447, 71, 411, 270])).
% 3.14/3.32 tff(5626,plain,
% 3.14/3.32 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[394, 5625])).
% 3.14/3.32 tff(5627,plain,
% 3.14/3.32 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[4555, 4539, 4499, 135])).
% 3.14/3.32 tff(5628,plain,
% 3.14/3.32 (b(s(s(s(s(z)))), s(s(z)))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[938, 5627])).
% 3.14/3.32 tff(5629,plain,
% 3.14/3.32 (~b(s(s(z)), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[932, 5628, 178, 74])).
% 3.14/3.32 tff(5630,plain,
% 3.14/3.32 (r(s(s(z)), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[898, 5629])).
% 3.14/3.32 tff(5631,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5632,plain,
% 3.14/3.32 (((~r(s(z), z)) | (~r(s(s(z)), z)) | (~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)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5633,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))))),
% 3.14/3.32 inference(monotonicity,[status(thm)],[5632])).
% 3.14/3.32 tff(5634,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.14/3.32 inference(transitivity,[status(thm)],[5633, 5631])).
% 3.14/3.32 tff(5635,plain,
% 3.14/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.14/3.32 inference(quant_inst,[status(thm)],[])).
% 3.14/3.32 tff(5636,plain,
% 3.14/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))),
% 3.14/3.32 inference(modus_ponens,[status(thm)],[5635, 5634])).
% 3.14/3.32 tff(5637,plain,
% 3.14/3.32 (~r(s(s(z)), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5636, 125, 544, 411, 5630, 4539])).
% 3.14/3.32 tff(5638,plain,
% 3.14/3.32 (b(s(s(z)), s(z))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[857, 5637])).
% 3.14/3.32 tff(5639,plain,
% 3.14/3.32 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[972, 125, 75, 71, 5630])).
% 3.14/3.32 tff(5640,plain,
% 3.14/3.32 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[909, 64, 5639, 4435])).
% 3.14/3.32 tff(5641,plain,
% 3.14/3.32 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5620, 75, 411, 71])).
% 3.14/3.32 tff(5642,plain,
% 3.14/3.32 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[163, 5641])).
% 3.14/3.32 tff(5643,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5644,plain,
% 3.14/3.32 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5645,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))))),
% 3.14/3.32 inference(monotonicity,[status(thm)],[5644])).
% 3.14/3.32 tff(5646,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.14/3.32 inference(transitivity,[status(thm)],[5645, 5643])).
% 3.14/3.32 tff(5647,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(quant_inst,[status(thm)],[])).
% 3.14/3.32 tff(5648,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))),
% 3.14/3.32 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 3.14/3.32 tff(5649,plain,
% 3.14/3.32 ($false),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5648, 91, 77, 5642, 5640, 5638])).
% 3.14/3.32 tff(5650,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.32 tff(5651,plain,
% 3.14/3.32 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5650, 4499, 75, 71, 544, 411, 178, 74, 5626, 135])).
% 3.14/3.32 tff(5652,plain,
% 3.14/3.32 (b(s(s(z)), s(s(s(s(z)))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[4476, 5651])).
% 3.14/3.32 tff(5653,assumption,(b(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 3.14/3.32 tff(5654,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5655,plain,
% 3.14/3.32 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5656,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.14/3.32 inference(monotonicity,[status(thm)],[5655])).
% 3.14/3.32 tff(5657,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(transitivity,[status(thm)],[5656, 5654])).
% 3.14/3.32 tff(5658,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.14/3.32 inference(quant_inst,[status(thm)],[])).
% 3.14/3.32 tff(5659,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.14/3.32 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 3.14/3.32 tff(5660,plain,
% 3.14/3.32 ($false),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5659, 91, 77, 4456, 176, 5653, 669])).
% 3.14/3.32 tff(5661,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.32 tff(5662,plain,
% 3.14/3.32 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5661, 5652, 5626, 5642, 669])).
% 3.14/3.32 tff(5663,assumption,(~r(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 3.14/3.32 tff(5664,assumption,(~b(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 3.14/3.32 tff(5665,plain,
% 3.14/3.32 ($false),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[909, 64, 5664, 5663, 4435])).
% 3.14/3.32 tff(5666,plain,(r(s(s(z)), s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.32 tff(5667,plain,
% 3.14/3.32 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5666, 5662])).
% 3.14/3.32 tff(5668,plain,
% 3.14/3.32 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5669,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.14/3.32 inference(monotonicity,[status(thm)],[5668])).
% 3.14/3.32 tff(5670,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(transitivity,[status(thm)],[5669, 967])).
% 3.14/3.32 tff(5671,plain,
% 3.14/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.32 inference(quant_inst,[status(thm)],[])).
% 3.14/3.32 tff(5672,plain,
% 3.14/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.14/3.32 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 3.14/3.32 tff(5673,plain,
% 3.14/3.32 (~r(s(s(z)), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5672, 125, 75, 71, 5667])).
% 3.14/3.32 tff(5674,plain,
% 3.14/3.32 (b(s(s(z)), z)),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[898, 5673])).
% 3.14/3.32 tff(5675,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5676,plain,
% 3.14/3.32 (((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z)))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5677,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))))),
% 3.14/3.32 inference(monotonicity,[status(thm)],[5676])).
% 3.14/3.32 tff(5678,plain,
% 3.14/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 3.14/3.32 inference(transitivity,[status(thm)],[5677, 5675])).
% 3.14/3.32 tff(5679,plain,
% 3.14/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))))),
% 3.14/3.32 inference(quant_inst,[status(thm)],[])).
% 3.14/3.32 tff(5680,plain,
% 3.14/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))),
% 3.14/3.32 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 3.14/3.32 tff(5681,plain,
% 3.14/3.32 (~r(z, s(s(z)))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5680, 125, 75, 270, 4499, 5667])).
% 3.14/3.32 tff(5682,plain,
% 3.14/3.32 (b(z, s(s(z)))),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[3400, 5681])).
% 3.14/3.32 tff(5683,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5684,plain,
% 3.14/3.32 (((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~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(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.14/3.32 inference(rewrite,[status(thm)],[])).
% 3.14/3.32 tff(5685,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.14/3.32 inference(monotonicity,[status(thm)],[5684])).
% 3.14/3.32 tff(5686,plain,
% 3.14/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.14/3.32 inference(transitivity,[status(thm)],[5685, 5683])).
% 3.14/3.32 tff(5687,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.14/3.32 inference(quant_inst,[status(thm)],[])).
% 3.14/3.32 tff(5688,plain,
% 3.14/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.14/3.32 inference(modus_ponens,[status(thm)],[5687, 5686])).
% 3.14/3.32 tff(5689,plain,
% 3.14/3.32 ($false),
% 3.14/3.32 inference(unit_resolution,[status(thm)],[5688, 91, 5682, 5674, 5652, 74])).
% 3.14/3.32 tff(5690,plain,((~r(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.33 tff(5691,plain,
% 3.14/3.33 (~r(s(z), s(s(z)))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5690, 5618, 74, 5504, 5614, 5608, 544, 5616, 178, 135])).
% 3.14/3.33 tff(5692,plain,
% 3.14/3.33 (b(s(z), s(s(z)))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[1004, 5691])).
% 3.14/3.33 tff(5693,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5694,plain,
% 3.14/3.33 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5695,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.14/3.33 inference(monotonicity,[status(thm)],[5694])).
% 3.14/3.33 tff(5696,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.33 inference(transitivity,[status(thm)],[5695, 5693])).
% 3.14/3.33 tff(5697,plain,
% 3.14/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))))),
% 3.14/3.33 inference(quant_inst,[status(thm)],[])).
% 3.14/3.33 tff(5698,plain,
% 3.14/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.14/3.33 inference(modus_ponens,[status(thm)],[5697, 5696])).
% 3.14/3.33 tff(5699,plain,
% 3.14/3.33 ($false),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5698, 91, 1073, 5148, 4925, 316, 297])).
% 3.14/3.33 tff(5700,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.33 tff(5701,plain,
% 3.14/3.33 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5700, 5692, 1073, 316, 297])).
% 3.14/3.33 tff(5702,assumption,(~r(s(s(z)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 3.14/3.33 tff(5703,assumption,(~b(s(s(z)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 3.14/3.33 tff(5704,plain,
% 3.14/3.33 ($false),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[881, 64, 5703, 5702, 871])).
% 3.14/3.33 tff(5705,plain,(b(s(s(z)), s(s(s(s(s(s(z))))))) | r(s(s(z)), s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.33 tff(5706,plain,
% 3.14/3.33 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5705, 5701])).
% 3.14/3.33 tff(5707,assumption,(r(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 3.14/3.33 tff(5708,plain,
% 3.14/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5709,plain,
% 3.14/3.33 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5710,plain,
% 3.14/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.14/3.33 inference(monotonicity,[status(thm)],[5709])).
% 3.14/3.33 tff(5711,plain,
% 3.14/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.33 inference(transitivity,[status(thm)],[5710, 5708])).
% 3.14/3.33 tff(5712,plain,
% 3.14/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.33 inference(quant_inst,[status(thm)],[])).
% 3.14/3.33 tff(5713,plain,
% 3.14/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 3.14/3.33 tff(5714,plain,
% 3.14/3.33 ($false),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5713, 125, 203, 4961, 216, 5707])).
% 3.14/3.33 tff(5715,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.33 tff(5716,plain,
% 3.14/3.33 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5715, 5706, 203, 5610])).
% 3.14/3.33 tff(5717,plain,
% 3.14/3.33 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5666, 5716])).
% 3.14/3.33 tff(5718,plain,
% 3.14/3.33 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5661, 5717, 5624, 5622, 5608])).
% 3.14/3.33 tff(5719,plain,
% 3.14/3.33 (r(s(s(z)), s(s(s(s(z)))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[4476, 5718])).
% 3.14/3.33 tff(5720,plain,
% 3.14/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5721,plain,
% 3.14/3.33 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(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(s(s(s(z))))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5722,plain,
% 3.14/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 3.14/3.33 inference(monotonicity,[status(thm)],[5721])).
% 3.14/3.33 tff(5723,plain,
% 3.14/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.33 inference(transitivity,[status(thm)],[5722, 5720])).
% 3.14/3.33 tff(5724,plain,
% 3.14/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(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(s(s(s(z)))))))))),
% 3.14/3.33 inference(quant_inst,[status(thm)],[])).
% 3.14/3.33 tff(5725,plain,
% 3.14/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.14/3.33 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 3.14/3.33 tff(5726,plain,
% 3.14/3.33 ($false),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5725, 125, 5606, 5384, 5706, 5719])).
% 3.14/3.33 tff(5727,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.33 tff(5728,plain,
% 3.14/3.33 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5727, 4407, 316, 297, 74, 5604, 317, 135])).
% 3.14/3.33 tff(5729,plain,
% 3.14/3.33 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[1313, 5728])).
% 3.14/3.33 tff(5730,plain,
% 3.14/3.33 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5526, 5729, 4407, 316])).
% 3.14/3.33 tff(5731,plain,
% 3.14/3.33 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[427, 5730])).
% 3.14/3.33 tff(5732,plain,
% 3.14/3.33 (~b(s(z), z)),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[607, 74, 317, 316, 297])).
% 3.14/3.33 tff(5733,plain,
% 3.14/3.33 (r(s(z), z)),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[408, 5732])).
% 3.14/3.33 tff(5734,plain,
% 3.14/3.33 (~b(z, s(z))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5502, 91, 4407, 316, 297])).
% 3.14/3.33 tff(5735,plain,
% 3.14/3.33 (r(z, s(z))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[267, 5734])).
% 3.14/3.33 tff(5736,plain,
% 3.14/3.33 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[447, 5731, 5733, 5735])).
% 3.14/3.33 tff(5737,plain,
% 3.14/3.33 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[394, 5736])).
% 3.14/3.33 tff(5738,plain,
% 3.14/3.33 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[4419, 5737, 297, 5729])).
% 3.14/3.33 tff(5739,plain,
% 3.14/3.33 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[163, 5738])).
% 3.14/3.33 tff(5740,plain,
% 3.14/3.33 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5058, 5739, 135, 5733, 5731])).
% 3.14/3.33 tff(5741,plain,
% 3.14/3.33 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[689, 5740])).
% 3.14/3.33 tff(5742,plain,
% 3.14/3.33 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[69, 346])).
% 3.14/3.33 tff(5743,plain,
% 3.14/3.33 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[553, 5742, 5604, 135])).
% 3.14/3.33 tff(5744,plain,
% 3.14/3.33 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[542, 5743])).
% 3.14/3.33 tff(5745,plain,
% 3.14/3.33 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[4012, 5737, 297, 5744])).
% 3.14/3.33 tff(5746,plain,
% 3.14/3.33 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[246, 5745])).
% 3.14/3.33 tff(5747,plain,
% 3.14/3.33 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[378, 5746, 337, 5742])).
% 3.14/3.33 tff(5748,plain,
% 3.14/3.33 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[369, 5747])).
% 3.14/3.33 tff(5749,plain,
% 3.14/3.33 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5620, 5739, 5733, 5731])).
% 3.14/3.33 tff(5750,plain,
% 3.14/3.33 (b(z, s(s(s(s(s(z))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[113, 5749])).
% 3.14/3.33 tff(5751,plain,
% 3.14/3.33 ($false),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[677, 5750, 5748, 317, 5741])).
% 3.14/3.33 tff(5752,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.33 tff(5753,plain,
% 3.14/3.33 (~b(s(s(s(s(z)))), z)),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5752, 135, 297, 316, 169])).
% 3.14/3.33 tff(5754,plain,
% 3.14/3.33 (r(s(s(s(s(z)))), z)),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[314, 5753])).
% 3.14/3.33 tff(5755,plain,
% 3.14/3.33 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[144, 136, 135, 115])).
% 3.14/3.33 tff(5756,plain,
% 3.14/3.33 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[369, 5755])).
% 3.14/3.33 tff(5757,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5758,plain,
% 3.14/3.33 (((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5759,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 3.14/3.33 inference(monotonicity,[status(thm)],[5758])).
% 3.14/3.33 tff(5760,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.14/3.33 inference(transitivity,[status(thm)],[5759, 5757])).
% 3.14/3.33 tff(5761,plain,
% 3.14/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.14/3.33 inference(quant_inst,[status(thm)],[])).
% 3.14/3.33 tff(5762,plain,
% 3.14/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.14/3.33 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 3.14/3.33 tff(5763,plain,
% 3.14/3.33 ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5762, 91, 178, 316, 297])).
% 3.14/3.33 tff(5764,plain,
% 3.14/3.33 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5763, 72])).
% 3.14/3.33 tff(5765,plain,
% 3.14/3.33 (r(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[1093, 5764])).
% 3.14/3.33 tff(5766,plain,
% 3.14/3.33 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[5370, 76, 178, 297, 1020, 135, 316, 115, 5765])).
% 3.14/3.33 tff(5767,plain,
% 3.14/3.33 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.33 inference(unit_resolution,[status(thm)],[336, 5766])).
% 3.14/3.33 tff(5768,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5769,plain,
% 3.14/3.33 (((~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(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.33 inference(rewrite,[status(thm)],[])).
% 3.14/3.33 tff(5770,plain,
% 3.14/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(z))))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.14/3.34 inference(monotonicity,[status(thm)],[5769])).
% 3.14/3.34 tff(5771,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(z))))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.34 inference(transitivity,[status(thm)],[5770, 5768])).
% 3.14/3.34 tff(5772,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.34 inference(quant_inst,[status(thm)],[])).
% 3.14/3.34 tff(5773,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.14/3.34 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 3.14/3.34 tff(5774,plain,
% 3.14/3.34 ($false),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5773, 91, 76, 318, 349, 298])).
% 3.14/3.34 tff(5775,plain,((~b(s(s(s(s(s(z))))), s(s(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(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.34 tff(5776,plain,
% 3.14/3.34 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5775, 5767, 5756, 76])).
% 3.14/3.34 tff(5777,plain,
% 3.14/3.34 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[246, 5776])).
% 3.14/3.34 tff(5778,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5779,plain,
% 3.14/3.34 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5780,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.14/3.34 inference(monotonicity,[status(thm)],[5779])).
% 3.14/3.34 tff(5781,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.14/3.34 inference(transitivity,[status(thm)],[5780, 5778])).
% 3.14/3.34 tff(5782,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.14/3.34 inference(quant_inst,[status(thm)],[])).
% 3.14/3.34 tff(5783,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.14/3.34 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 3.14/3.34 tff(5784,plain,
% 3.14/3.34 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5783, 91, 76, 4456, 318, 349])).
% 3.14/3.34 tff(5785,plain,
% 3.14/3.34 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[921, 64, 785, 5784])).
% 3.14/3.34 tff(5786,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5787,plain,
% 3.14/3.34 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(s(s(z)))))), s(s(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(z)))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5788,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.14/3.34 inference(monotonicity,[status(thm)],[5787])).
% 3.14/3.34 tff(5789,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.14/3.34 inference(transitivity,[status(thm)],[5788, 5786])).
% 3.14/3.34 tff(5790,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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)))))),
% 3.14/3.34 inference(quant_inst,[status(thm)],[])).
% 3.14/3.34 tff(5791,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.14/3.34 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 3.14/3.34 tff(5792,plain,
% 3.14/3.34 ($false),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5791, 91, 76, 4456, 3151, 318])).
% 3.14/3.34 tff(5793,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.34 tff(5794,plain,
% 3.14/3.34 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5793, 4456, 76, 318])).
% 3.14/3.34 tff(5795,plain,
% 3.14/3.34 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[3164, 5794])).
% 3.14/3.34 tff(5796,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5797,plain,
% 3.14/3.34 (((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(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(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5798,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 3.14/3.34 inference(monotonicity,[status(thm)],[5797])).
% 3.14/3.34 tff(5799,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.14/3.34 inference(transitivity,[status(thm)],[5798, 5796])).
% 3.14/3.34 tff(5800,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(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(s(s(s(z)))))))))),
% 3.14/3.34 inference(quant_inst,[status(thm)],[])).
% 3.14/3.34 tff(5801,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.14/3.34 inference(modus_ponens,[status(thm)],[5800, 5799])).
% 3.14/3.34 tff(5802,plain,
% 3.14/3.34 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5801, 91, 76, 4456, 318])).
% 3.14/3.34 tff(5803,plain,
% 3.14/3.34 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[881, 64, 5802, 871])).
% 3.14/3.34 tff(5804,plain,
% 3.14/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5805,plain,
% 3.14/3.34 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5806,plain,
% 3.14/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.14/3.34 inference(monotonicity,[status(thm)],[5805])).
% 3.14/3.34 tff(5807,plain,
% 3.14/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.14/3.34 inference(transitivity,[status(thm)],[5806, 5804])).
% 3.14/3.34 tff(5808,plain,
% 3.14/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.14/3.34 inference(quant_inst,[status(thm)],[])).
% 3.14/3.34 tff(5809,plain,
% 3.14/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.14/3.34 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 3.14/3.34 tff(5810,plain,
% 3.14/3.34 ($false),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5809, 125, 5803, 5795, 216, 5785])).
% 3.14/3.34 tff(5811,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(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(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.34 tff(5812,plain,
% 3.14/3.34 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5811, 5777, 5756, 76, 5767])).
% 3.14/3.34 tff(5813,plain,
% 3.14/3.34 (r(s(s(z)), s(s(s(s(z)))))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[4476, 5812])).
% 3.14/3.34 tff(5814,plain,
% 3.14/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5815,plain,
% 3.14/3.34 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~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(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5816,plain,
% 3.14/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 3.14/3.34 inference(monotonicity,[status(thm)],[5815])).
% 3.14/3.34 tff(5817,plain,
% 3.14/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.14/3.34 inference(transitivity,[status(thm)],[5816, 5814])).
% 3.14/3.34 tff(5818,plain,
% 3.14/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.14/3.34 inference(quant_inst,[status(thm)],[])).
% 3.14/3.34 tff(5819,plain,
% 3.14/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 3.14/3.34 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 3.14/3.34 tff(5820,plain,
% 3.14/3.34 (~r(s(s(z)), s(z))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[5819, 125, 544, 135, 5813])).
% 3.14/3.34 tff(5821,plain,
% 3.14/3.34 (b(s(s(z)), s(z))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[857, 5820])).
% 3.14/3.34 tff(5822,plain,
% 3.14/3.34 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[698, 136, 544, 115])).
% 3.14/3.34 tff(5823,plain,
% 3.14/3.34 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.34 inference(unit_resolution,[status(thm)],[394, 5822])).
% 3.14/3.34 tff(5824,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5825,plain,
% 3.14/3.34 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.14/3.34 inference(rewrite,[status(thm)],[])).
% 3.14/3.34 tff(5826,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 3.14/3.34 inference(monotonicity,[status(thm)],[5825])).
% 3.14/3.34 tff(5827,plain,
% 3.14/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.14/3.34 inference(transitivity,[status(thm)],[5826, 5824])).
% 3.14/3.34 tff(5828,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.14/3.34 inference(quant_inst,[status(thm)],[])).
% 3.14/3.34 tff(5829,plain,
% 3.14/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 3.14/3.35 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 3.14/3.35 tff(5830,plain,
% 3.14/3.35 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5829, 91, 5823, 76, 5821, 5756, 297])).
% 3.14/3.35 tff(5831,plain,
% 3.14/3.35 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5666, 5830])).
% 3.14/3.35 tff(5832,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5833,plain,
% 3.14/3.35 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(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)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5834,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 3.14/3.35 inference(monotonicity,[status(thm)],[5833])).
% 3.14/3.35 tff(5835,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.14/3.35 inference(transitivity,[status(thm)],[5834, 5832])).
% 3.14/3.35 tff(5836,plain,
% 3.14/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.35 inference(quant_inst,[status(thm)],[])).
% 3.14/3.35 tff(5837,plain,
% 3.14/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.14/3.35 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 3.14/3.35 tff(5838,plain,
% 3.14/3.35 ($false),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5837, 91, 76, 81, 72, 316, 349, 297])).
% 3.14/3.35 tff(5839,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.35 tff(5840,plain,
% 3.14/3.35 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5839, 76, 72, 316, 5756, 297])).
% 3.14/3.35 tff(5841,plain,
% 3.14/3.35 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[113, 5840])).
% 3.14/3.35 tff(5842,plain,
% 3.14/3.35 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[1293, 5841, 1020, 115])).
% 3.14/3.35 tff(5843,plain,
% 3.14/3.35 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[427, 5842])).
% 3.14/3.35 tff(5844,plain,
% 3.14/3.35 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[1168, 5843, 178, 115, 1020, 136, 72, 5823, 316])).
% 3.14/3.35 tff(5845,plain,
% 3.14/3.35 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[1313, 5844])).
% 3.14/3.35 tff(5846,plain,
% 3.14/3.35 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5715, 5845, 5831, 5777])).
% 3.14/3.35 tff(5847,plain,
% 3.14/3.35 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5705, 5846])).
% 3.14/3.35 tff(5848,plain,
% 3.14/3.35 ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[4515, 91, 76, 178, 72, 5821])).
% 3.14/3.35 tff(5849,plain,
% 3.14/3.35 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5848, 5847])).
% 3.14/3.35 tff(5850,plain,
% 3.14/3.35 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[542, 5849])).
% 3.14/3.35 tff(5851,plain,
% 3.14/3.35 ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z)))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[253, 91, 5823, 178, 72])).
% 3.14/3.35 tff(5852,plain,
% 3.14/3.35 (~b(z, s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5851, 5843])).
% 3.14/3.35 tff(5853,plain,
% 3.14/3.35 (r(z, s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[267, 5852])).
% 3.14/3.35 tff(5854,plain,
% 3.14/3.35 ($false),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[1251, 125, 5841, 5765, 5853, 5777, 5850])).
% 3.14/3.35 tff(5855,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.35 tff(5856,plain,
% 3.14/3.35 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5855, 136, 72, 115, 1020, 178, 316, 297, 544, 135])).
% 3.14/3.35 tff(5857,plain,
% 3.14/3.35 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[69, 5856])).
% 3.14/3.35 tff(5858,plain,
% 3.14/3.35 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[553, 5857, 544, 135])).
% 3.14/3.35 tff(5859,plain,
% 3.14/3.35 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[542, 5858])).
% 3.14/3.35 tff(5860,plain,
% 3.14/3.35 (~b(z, s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[4121, 5859, 72, 316])).
% 3.14/3.35 tff(5861,plain,
% 3.14/3.35 (r(z, s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[267, 5860])).
% 3.14/3.35 tff(5862,plain,
% 3.14/3.35 ($false),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[1166, 125, 544, 1020, 5861, 115, 136])).
% 3.14/3.35 tff(5863,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.35 tff(5864,plain,
% 3.14/3.35 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5863, 72, 1020, 115, 544, 316, 135, 178, 297])).
% 3.14/3.35 tff(5865,plain,
% 3.14/3.35 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[163, 5864])).
% 3.14/3.35 tff(5866,plain,
% 3.14/3.35 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5370, 76, 178, 297, 1020, 135, 316, 115, 215])).
% 3.14/3.35 tff(5867,plain,
% 3.14/3.35 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[336, 5866])).
% 3.14/3.35 tff(5868,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5869,plain,
% 3.14/3.35 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5870,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 3.14/3.35 inference(monotonicity,[status(thm)],[5869])).
% 3.14/3.35 tff(5871,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.14/3.35 inference(transitivity,[status(thm)],[5870, 5868])).
% 3.14/3.35 tff(5872,plain,
% 3.14/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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)))))), z)))),
% 3.14/3.35 inference(quant_inst,[status(thm)],[])).
% 3.14/3.35 tff(5873,plain,
% 3.14/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 3.14/3.35 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 3.14/3.35 tff(5874,plain,
% 3.14/3.35 ($false),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5873, 91, 76, 178, 5867, 316])).
% 3.14/3.35 tff(5875,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.35 tff(5876,plain,
% 3.14/3.35 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5875, 5765, 316, 297, 1020, 135, 115, 178])).
% 3.14/3.35 tff(5877,plain,
% 3.14/3.35 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[69, 5876])).
% 3.14/3.35 tff(5878,plain,
% 3.14/3.35 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[553, 5877, 544, 135])).
% 3.14/3.35 tff(5879,plain,
% 3.14/3.35 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[542, 5878])).
% 3.14/3.35 tff(5880,plain,
% 3.14/3.35 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[4323, 5879, 297, 5865])).
% 3.14/3.35 tff(5881,plain,
% 3.14/3.35 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[246, 5880])).
% 3.14/3.35 tff(5882,plain,
% 3.14/3.35 (~b(z, s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[4121, 5879, 72, 316])).
% 3.14/3.35 tff(5883,plain,
% 3.14/3.35 (r(z, s(z))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[267, 5882])).
% 3.14/3.35 tff(5884,plain,
% 3.14/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5885,plain,
% 3.14/3.35 (((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5886,plain,
% 3.14/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 3.14/3.35 inference(monotonicity,[status(thm)],[5885])).
% 3.14/3.35 tff(5887,plain,
% 3.14/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.14/3.35 inference(transitivity,[status(thm)],[5886, 5884])).
% 3.14/3.35 tff(5888,plain,
% 3.14/3.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.14/3.35 inference(quant_inst,[status(thm)],[])).
% 3.14/3.35 tff(5889,plain,
% 3.14/3.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 3.14/3.35 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 3.14/3.35 tff(5890,plain,
% 3.14/3.35 ($false),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5889, 125, 544, 71, 1020, 270, 115])).
% 3.14/3.35 tff(5891,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.35 tff(5892,plain,
% 3.14/3.35 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5891, 5883, 1020, 544, 115])).
% 3.14/3.35 tff(5893,plain,
% 3.14/3.35 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[427, 5892])).
% 3.14/3.35 tff(5894,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5895,plain,
% 3.14/3.35 (((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5896,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.14/3.35 inference(monotonicity,[status(thm)],[5895])).
% 3.14/3.35 tff(5897,plain,
% 3.14/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.14/3.35 inference(transitivity,[status(thm)],[5896, 5894])).
% 3.14/3.35 tff(5898,plain,
% 3.14/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.14/3.35 inference(quant_inst,[status(thm)],[])).
% 3.14/3.35 tff(5899,plain,
% 3.14/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.14/3.35 inference(modus_ponens,[status(thm)],[5898, 5897])).
% 3.14/3.35 tff(5900,plain,
% 3.14/3.35 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[5899, 91, 5893, 5865, 178, 72])).
% 3.14/3.35 tff(5901,plain,
% 3.14/3.35 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.35 inference(unit_resolution,[status(thm)],[113, 5900])).
% 3.14/3.35 tff(5902,plain,
% 3.14/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5903,plain,
% 3.14/3.35 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.14/3.35 inference(rewrite,[status(thm)],[])).
% 3.14/3.35 tff(5904,plain,
% 3.14/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.14/3.36 inference(monotonicity,[status(thm)],[5903])).
% 3.14/3.36 tff(5905,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.14/3.36 inference(transitivity,[status(thm)],[5904, 5902])).
% 3.14/3.36 tff(5906,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)))),
% 3.14/3.36 inference(quant_inst,[status(thm)],[])).
% 3.14/3.36 tff(5907,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.14/3.36 inference(modus_ponens,[status(thm)],[5906, 5905])).
% 3.14/3.36 tff(5908,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5907, 125, 410, 75, 544, 1020, 115])).
% 3.14/3.36 tff(5909,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.36 tff(5910,plain,
% 3.14/3.36 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5909, 5901, 544, 1020, 115])).
% 3.14/3.36 tff(5911,plain,
% 3.14/3.36 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[394, 5910])).
% 3.14/3.36 tff(5912,plain,
% 3.14/3.36 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[4419, 5911, 297, 5865])).
% 3.14/3.36 tff(5913,plain,
% 3.14/3.36 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[1313, 5912])).
% 3.14/3.36 tff(5914,plain,
% 3.14/3.36 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5915,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.14/3.36 inference(monotonicity,[status(thm)],[5914])).
% 3.14/3.36 tff(5916,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(transitivity,[status(thm)],[5915, 217])).
% 3.14/3.36 tff(5917,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(quant_inst,[status(thm)],[])).
% 3.14/3.36 tff(5918,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.14/3.36 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 3.14/3.36 tff(5919,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5918, 125, 5901, 5913, 5765, 5881])).
% 3.14/3.36 tff(5920,plain,((~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.36 tff(5921,plain,
% 3.14/3.36 (~b(s(z), z)),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5920, 115, 544, 1020, 297, 178, 316, 135])).
% 3.14/3.36 tff(5922,plain,
% 3.14/3.36 (r(s(z), z)),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[408, 5921])).
% 3.14/3.36 tff(5923,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5924,plain,
% 3.14/3.36 (((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5925,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))))),
% 3.14/3.36 inference(monotonicity,[status(thm)],[5924])).
% 3.14/3.36 tff(5926,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.14/3.36 inference(transitivity,[status(thm)],[5925, 5923])).
% 3.14/3.36 tff(5927,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.14/3.36 inference(quant_inst,[status(thm)],[])).
% 3.14/3.36 tff(5928,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))),
% 3.14/3.36 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 3.14/3.36 tff(5929,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5928, 125, 410, 544, 411, 1020, 115])).
% 3.14/3.36 tff(5930,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.36 tff(5931,plain,
% 3.14/3.36 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5930, 5922, 544, 1020, 115])).
% 3.14/3.36 tff(5932,plain,
% 3.14/3.36 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[394, 5931])).
% 3.14/3.36 tff(5933,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5934,plain,
% 3.14/3.36 (((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5935,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))))),
% 3.14/3.36 inference(monotonicity,[status(thm)],[5934])).
% 3.14/3.36 tff(5936,plain,
% 3.14/3.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))))),
% 3.14/3.36 inference(transitivity,[status(thm)],[5935, 5933])).
% 3.14/3.36 tff(5937,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 3.14/3.36 inference(quant_inst,[status(thm)],[])).
% 3.14/3.36 tff(5938,plain,
% 3.14/3.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))),
% 3.14/3.36 inference(modus_ponens,[status(thm)],[5937, 5936])).
% 3.14/3.36 tff(5939,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5938, 125, 544, 411, 1020, 270])).
% 3.14/3.36 tff(5940,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.36 tff(5941,plain,
% 3.14/3.36 (~r(z, s(z))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5940, 5922, 544, 1020])).
% 3.14/3.36 tff(5942,plain,
% 3.14/3.36 (b(z, s(z))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[267, 5941])).
% 3.14/3.36 tff(5943,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5944,plain,
% 3.14/3.36 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5945,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.14/3.36 inference(monotonicity,[status(thm)],[5944])).
% 3.14/3.36 tff(5946,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.36 inference(transitivity,[status(thm)],[5945, 5943])).
% 3.14/3.36 tff(5947,plain,
% 3.14/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.14/3.36 inference(quant_inst,[status(thm)],[])).
% 3.14/3.36 tff(5948,plain,
% 3.14/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.14/3.36 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 3.14/3.36 tff(5949,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5948, 91, 77, 429, 81, 176])).
% 3.14/3.36 tff(5950,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.36 tff(5951,plain,
% 3.14/3.36 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5950, 81, 5942, 5932])).
% 3.14/3.36 tff(5952,plain,
% 3.14/3.36 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[163, 5951])).
% 3.14/3.36 tff(5953,plain,
% 3.14/3.36 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[144, 5952, 135, 115])).
% 3.14/3.36 tff(5954,plain,
% 3.14/3.36 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[369, 5953])).
% 3.14/3.36 tff(5955,plain,
% 3.14/3.36 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[1293, 71, 1020, 115])).
% 3.14/3.36 tff(5956,plain,
% 3.14/3.36 (b(z, s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[113, 5955])).
% 3.14/3.36 tff(5957,plain,
% 3.14/3.36 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5058, 71, 135, 115, 411])).
% 3.14/3.36 tff(5958,plain,
% 3.14/3.36 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[163, 5957])).
% 3.14/3.36 tff(5959,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5950, 5958, 5956, 429, 77])).
% 3.14/3.36 tff(5960,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.36 tff(5961,plain,
% 3.14/3.36 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5960, 5942, 5932, 135, 115, 5922, 1020])).
% 3.14/3.36 tff(5962,plain,
% 3.14/3.36 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[427, 5961])).
% 3.14/3.36 tff(5963,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5964,plain,
% 3.14/3.36 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5965,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.14/3.36 inference(monotonicity,[status(thm)],[5964])).
% 3.14/3.36 tff(5966,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(transitivity,[status(thm)],[5965, 5963])).
% 3.14/3.36 tff(5967,plain,
% 3.14/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(quant_inst,[status(thm)],[])).
% 3.14/3.36 tff(5968,plain,
% 3.14/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.14/3.36 inference(modus_ponens,[status(thm)],[5967, 5966])).
% 3.14/3.36 tff(5969,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5968, 91, 79, 81, 316, 298])).
% 3.14/3.36 tff(5970,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.36 tff(5971,plain,
% 3.14/3.36 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5970, 81, 316, 5962])).
% 3.14/3.36 tff(5972,plain,
% 3.14/3.36 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[246, 5971])).
% 3.14/3.36 tff(5973,plain,
% 3.14/3.36 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[419, 81, 316, 5962])).
% 3.14/3.36 tff(5974,plain,
% 3.14/3.36 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[1313, 5973])).
% 3.14/3.36 tff(5975,plain,
% 3.14/3.36 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[4195, 5974, 115, 5972])).
% 3.14/3.36 tff(5976,plain,
% 3.14/3.36 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[336, 5975])).
% 3.14/3.36 tff(5977,plain,
% 3.14/3.36 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5875, 76, 316, 297, 1020, 135, 115, 178])).
% 3.14/3.36 tff(5978,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5979,plain,
% 3.14/3.36 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(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)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.14/3.36 inference(rewrite,[status(thm)],[])).
% 3.14/3.36 tff(5980,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 3.14/3.36 inference(monotonicity,[status(thm)],[5979])).
% 3.14/3.36 tff(5981,plain,
% 3.14/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.14/3.36 inference(transitivity,[status(thm)],[5980, 5978])).
% 3.14/3.36 tff(5982,plain,
% 3.14/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.36 inference(quant_inst,[status(thm)],[])).
% 3.14/3.36 tff(5983,plain,
% 3.14/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 3.14/3.36 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 3.14/3.36 tff(5984,plain,
% 3.14/3.36 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5983, 91, 178, 318, 316])).
% 3.14/3.36 tff(5985,plain,
% 3.14/3.36 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[5984, 76])).
% 3.14/3.36 tff(5986,plain,
% 3.14/3.36 ($false),
% 3.14/3.36 inference(unit_resolution,[status(thm)],[1093, 5985, 5977])).
% 3.14/3.36 tff(5987,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(5988,plain,
% 3.14/3.37 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5987, 5976, 178, 316, 297, 1020, 135, 115])).
% 3.14/3.37 tff(5989,plain,
% 3.14/3.37 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[69, 5988])).
% 3.14/3.37 tff(5990,plain,
% 3.14/3.37 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[553, 5989, 544, 135])).
% 3.14/3.37 tff(5991,plain,
% 3.14/3.37 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[542, 5990])).
% 3.14/3.37 tff(5992,plain,
% 3.14/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(5993,plain,
% 3.14/3.37 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(5994,plain,
% 3.14/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.14/3.37 inference(monotonicity,[status(thm)],[5993])).
% 3.14/3.37 tff(5995,plain,
% 3.14/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.14/3.37 inference(transitivity,[status(thm)],[5994, 5992])).
% 3.14/3.37 tff(5996,plain,
% 3.14/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.14/3.37 inference(quant_inst,[status(thm)],[])).
% 3.14/3.37 tff(5997,plain,
% 3.14/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.14/3.37 inference(modus_ponens,[status(thm)],[5996, 5995])).
% 3.14/3.37 tff(5998,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5997, 91, 5932, 81, 178, 5976, 5991, 5954])).
% 3.14/3.37 tff(5999,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6000,plain,
% 3.14/3.37 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5999, 115, 544, 135, 316, 297, 1020, 178])).
% 3.14/3.37 tff(6001,plain,
% 3.14/3.37 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[113, 6000])).
% 3.14/3.37 tff(6002,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6003,plain,
% 3.14/3.37 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6004,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))))),
% 3.14/3.37 inference(monotonicity,[status(thm)],[6003])).
% 3.14/3.37 tff(6005,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.14/3.37 inference(transitivity,[status(thm)],[6004, 6002])).
% 3.14/3.37 tff(6006,plain,
% 3.14/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 3.14/3.37 inference(quant_inst,[status(thm)],[])).
% 3.14/3.37 tff(6007,plain,
% 3.14/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))),
% 3.14/3.37 inference(modus_ponens,[status(thm)],[6006, 6005])).
% 3.14/3.37 tff(6008,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6007, 125, 6001, 544, 5922, 1020, 115])).
% 3.14/3.37 tff(6009,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6010,plain,
% 3.14/3.37 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6009, 5604, 5754, 135, 316, 297, 317])).
% 3.14/3.37 tff(6011,plain,
% 3.14/3.37 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[689, 6010])).
% 3.14/3.37 tff(6012,plain,
% 3.14/3.37 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6009, 544, 1020, 135, 316, 297, 178])).
% 3.14/3.37 tff(6013,plain,
% 3.14/3.37 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[689, 6012])).
% 3.14/3.37 tff(6014,plain,
% 3.14/3.37 (~b(s(z), z)),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5763, 1073])).
% 3.14/3.37 tff(6015,plain,
% 3.14/3.37 (r(s(z), z)),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[408, 6014])).
% 3.14/3.37 tff(6016,plain,
% 3.14/3.37 (~r(z, s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5940, 6015, 544, 1020])).
% 3.14/3.37 tff(6017,plain,
% 3.14/3.37 (b(z, s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[267, 6016])).
% 3.14/3.37 tff(6018,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5502, 91, 6017, 1073, 316, 297])).
% 3.14/3.37 tff(6019,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6020,plain,
% 3.14/3.37 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6019, 544, 297, 316, 1020, 178])).
% 3.14/3.37 tff(6021,plain,
% 3.14/3.37 (r(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[1093, 6020])).
% 3.14/3.37 tff(6022,plain,
% 3.14/3.37 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[677, 81, 178, 6013])).
% 3.14/3.37 tff(6023,plain,
% 3.14/3.37 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[369, 6022])).
% 3.14/3.37 tff(6024,plain,
% 3.14/3.37 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[738, 6023, 135, 544])).
% 3.14/3.37 tff(6025,plain,
% 3.14/3.37 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[394, 6024])).
% 3.14/3.37 tff(6026,plain,
% 3.14/3.37 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[4060, 81, 178, 6013])).
% 3.14/3.37 tff(6027,plain,
% 3.14/3.37 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[427, 6026])).
% 3.14/3.37 tff(6028,plain,
% 3.14/3.37 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[738, 73, 135, 544])).
% 3.14/3.37 tff(6029,plain,
% 3.14/3.37 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[394, 6028])).
% 3.14/3.37 tff(6030,plain,
% 3.14/3.37 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[553, 204, 544, 135])).
% 3.14/3.37 tff(6031,plain,
% 3.14/3.37 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[542, 6030])).
% 3.14/3.37 tff(6032,plain,
% 3.14/3.37 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[4012, 6031, 297, 6029])).
% 3.14/3.37 tff(6033,plain,
% 3.14/3.37 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[246, 6032])).
% 3.14/3.37 tff(6034,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[4731, 125, 204, 71, 1020, 6033, 73])).
% 3.14/3.37 tff(6035,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6036,plain,
% 3.14/3.37 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6035, 6027, 1020, 6023, 297, 544, 135])).
% 3.14/3.37 tff(6037,plain,
% 3.14/3.37 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[69, 6036])).
% 3.14/3.37 tff(6038,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6039,plain,
% 3.14/3.37 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~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))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6040,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.14/3.37 inference(monotonicity,[status(thm)],[6039])).
% 3.14/3.37 tff(6041,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.37 inference(transitivity,[status(thm)],[6040, 6038])).
% 3.14/3.37 tff(6042,plain,
% 3.14/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~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)))))))),
% 3.14/3.37 inference(quant_inst,[status(thm)],[])).
% 3.14/3.37 tff(6043,plain,
% 3.14/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.14/3.37 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 3.14/3.37 tff(6044,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6043, 125, 215, 71, 1020, 216, 73])).
% 3.14/3.37 tff(6045,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6046,plain,
% 3.14/3.37 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6045, 215, 71, 1020, 73])).
% 3.14/3.37 tff(6047,plain,
% 3.14/3.37 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[246, 6046])).
% 3.14/3.37 tff(6048,plain,
% 3.14/3.37 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[4012, 6047, 297, 77])).
% 3.14/3.37 tff(6049,plain,
% 3.14/3.37 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[542, 6048])).
% 3.14/3.37 tff(6050,plain,
% 3.14/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6051,plain,
% 3.14/3.37 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6052,plain,
% 3.14/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.14/3.37 inference(monotonicity,[status(thm)],[6051])).
% 3.14/3.37 tff(6053,plain,
% 3.14/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.14/3.37 inference(transitivity,[status(thm)],[6052, 6050])).
% 3.14/3.37 tff(6054,plain,
% 3.14/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.14/3.37 inference(quant_inst,[status(thm)],[])).
% 3.14/3.37 tff(6055,plain,
% 3.14/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.14/3.37 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 3.14/3.37 tff(6056,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6055, 91, 76, 318, 669, 298])).
% 3.14/3.37 tff(6057,plain,((~b(s(s(s(s(z)))), s(s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6058,plain,
% 3.14/3.37 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6057, 6047, 669, 76])).
% 3.14/3.37 tff(6059,plain,
% 3.14/3.37 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[336, 6058])).
% 3.14/3.37 tff(6060,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6061,plain,
% 3.14/3.37 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, 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)))), z))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.14/3.37 inference(rewrite,[status(thm)],[])).
% 3.14/3.37 tff(6062,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, 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)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.14/3.37 inference(monotonicity,[status(thm)],[6061])).
% 3.14/3.37 tff(6063,plain,
% 3.14/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, 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)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.14/3.37 inference(transitivity,[status(thm)],[6062, 6060])).
% 3.14/3.37 tff(6064,plain,
% 3.14/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, 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)))), z)))),
% 3.14/3.37 inference(quant_inst,[status(thm)],[])).
% 3.14/3.37 tff(6065,plain,
% 3.14/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.14/3.37 inference(modus_ponens,[status(thm)],[6064, 6063])).
% 3.14/3.37 tff(6066,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6065, 125, 215, 544, 1020, 347, 545])).
% 3.14/3.37 tff(6067,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6068,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6067, 6059, 6049, 1020, 544, 215])).
% 3.14/3.37 tff(6069,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6070,plain,
% 3.14/3.37 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6069, 6037, 544, 6013, 1020, 297, 6025, 6027, 6023])).
% 3.14/3.37 tff(6071,plain,
% 3.14/3.37 (b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[1093, 6070])).
% 3.14/3.37 tff(6072,plain,
% 3.14/3.37 (~b(s(z), z)),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5763, 6071])).
% 3.14/3.37 tff(6073,plain,
% 3.14/3.37 (r(s(z), z)),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[408, 6072])).
% 3.14/3.37 tff(6074,plain,
% 3.14/3.37 (~r(z, s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[5940, 6073, 544, 1020])).
% 3.14/3.37 tff(6075,plain,
% 3.14/3.37 (b(z, s(z))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[267, 6074])).
% 3.14/3.37 tff(6076,plain,
% 3.14/3.37 ($false),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[3970, 125, 135, 411, 1020, 73, 136])).
% 3.14/3.37 tff(6077,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.37 tff(6078,plain,
% 3.14/3.37 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.37 inference(unit_resolution,[status(thm)],[6077, 6073, 1020, 6023, 135])).
% 3.14/3.37 tff(6079,plain,
% 3.14/3.37 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[163, 6078])).
% 3.14/3.38 tff(6080,plain,
% 3.14/3.38 ($false),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[5950, 6079, 6075, 81, 6025])).
% 3.14/3.38 tff(6081,plain,((~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.38 tff(6082,plain,
% 3.14/3.38 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6081, 1020, 135, 544, 178, 316, 297])).
% 3.14/3.38 tff(6083,plain,
% 3.14/3.38 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[113, 6082])).
% 3.14/3.38 tff(6084,plain,
% 3.14/3.38 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[4012, 298, 297, 77])).
% 3.14/3.38 tff(6085,plain,
% 3.14/3.38 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[542, 6084])).
% 3.14/3.38 tff(6086,plain,
% 3.14/3.38 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[553, 6085, 544, 135])).
% 3.14/3.38 tff(6087,plain,
% 3.14/3.38 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[69, 6086])).
% 3.14/3.38 tff(6088,plain,
% 3.14/3.38 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6067, 6085, 1020, 544, 215])).
% 3.14/3.38 tff(6089,plain,
% 3.14/3.38 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[336, 6088])).
% 3.14/3.38 tff(6090,plain,
% 3.14/3.38 ($false),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6057, 6089, 6087, 669, 298])).
% 3.14/3.38 tff(6091,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.38 tff(6092,plain,
% 3.14/3.38 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6091, 6029, 1020, 544, 6021, 135, 297, 6013])).
% 3.14/3.38 tff(6093,plain,
% 3.14/3.38 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[246, 6092])).
% 3.14/3.38 tff(6094,plain,
% 3.14/3.38 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[224, 6093, 6083, 6021])).
% 3.14/3.38 tff(6095,plain,
% 3.14/3.38 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[1313, 6094])).
% 3.14/3.38 tff(6096,plain,
% 3.14/3.38 (~b(s(z), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[1050, 6095, 178, 6013, 316, 297])).
% 3.14/3.38 tff(6097,plain,
% 3.14/3.38 (r(s(z), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[408, 6096])).
% 3.14/3.38 tff(6098,plain,
% 3.14/3.38 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[4419, 6095, 297, 6029])).
% 3.14/3.38 tff(6099,plain,
% 3.14/3.38 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[163, 6098])).
% 3.14/3.38 tff(6100,plain,
% 3.14/3.38 ($false),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6077, 6099, 6097, 1020, 73, 135])).
% 3.14/3.38 tff(6101,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.38 tff(6102,plain,
% 3.14/3.38 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6101, 5754, 135, 297, 317, 316, 5604])).
% 3.14/3.38 tff(6103,plain,
% 3.14/3.38 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[369, 6102])).
% 3.14/3.38 tff(6104,plain,
% 3.14/3.38 ($false),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[3920, 91, 79, 178, 669, 349])).
% 3.14/3.38 tff(6105,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.38 tff(6106,plain,
% 3.14/3.38 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6105, 6103, 317, 6011])).
% 3.14/3.38 tff(6107,plain,
% 3.14/3.38 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[427, 6106])).
% 3.14/3.38 tff(6108,plain,
% 3.14/3.38 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6081, 5754, 135, 5604, 317, 316, 297])).
% 3.14/3.38 tff(6109,plain,
% 3.14/3.38 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[113, 6108])).
% 3.14/3.38 tff(6110,plain,
% 3.14/3.38 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6019, 5604, 297, 316, 5754, 317])).
% 3.14/3.38 tff(6111,plain,
% 3.14/3.38 (r(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[1093, 6110])).
% 3.14/3.38 tff(6112,plain,
% 3.14/3.38 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6101, 1020, 135, 297, 178, 316, 544])).
% 3.14/3.38 tff(6113,plain,
% 3.14/3.38 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[369, 6112])).
% 3.14/3.38 tff(6114,plain,
% 3.14/3.38 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[4131, 91, 178, 316, 6113, 297])).
% 3.14/3.38 tff(6115,plain,
% 3.14/3.38 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6114, 298])).
% 3.14/3.38 tff(6116,plain,
% 3.14/3.38 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[163, 6115])).
% 3.14/3.38 tff(6117,plain,
% 3.14/3.38 (~r(s(z), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[1124, 6116, 1020, 6083, 135])).
% 3.14/3.38 tff(6118,plain,
% 3.14/3.38 (b(s(z), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[408, 6117])).
% 3.14/3.38 tff(6119,plain,
% 3.14/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.38 inference(rewrite,[status(thm)],[])).
% 3.14/3.38 tff(6120,plain,
% 3.14/3.38 (((~b(s(s(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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.38 inference(rewrite,[status(thm)],[])).
% 3.14/3.38 tff(6121,plain,
% 3.14/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.14/3.38 inference(monotonicity,[status(thm)],[6120])).
% 3.14/3.38 tff(6122,plain,
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% 3.14/3.38 inference(transitivity,[status(thm)],[6121, 6119])).
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% 3.14/3.38 inference(quant_inst,[status(thm)],[])).
% 3.14/3.38 tff(6124,plain,
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[6124, 91, 76, 669, 349, 298])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[6126, 298, 6013, 6113])).
% 3.14/3.38 tff(6128,plain,
% 3.14/3.38 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[69, 6127])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[553, 6128, 544, 135])).
% 3.14/3.38 tff(6130,plain,
% 3.14/3.38 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[542, 6129])).
% 3.14/3.38 tff(6131,plain,
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[511, 6116, 410, 6083])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[267, 6131])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[4121, 6132, 6130, 6118, 316])).
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% 3.14/3.38 tff(6135,plain,
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% 3.14/3.38 tff(6138,plain,
% 3.14/3.38 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[1313, 6137])).
% 3.14/3.38 tff(6139,plain,
% 3.14/3.38 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6105, 6113, 178, 6013])).
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% 3.14/3.38 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[427, 6139])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[5260, 6136, 6021, 6140, 410])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[408, 6141])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[1050, 6142, 6138, 178, 6013, 316, 297])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[394, 6145])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[1050, 6150, 317, 6011, 316, 297])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[408, 6151])).
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% 3.14/3.38 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[4419, 6150, 297, 6146])).
% 3.14/3.38 tff(6154,plain,
% 3.14/3.38 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[163, 6153])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[5620, 6154, 6152, 6109, 6107])).
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% 3.14/3.38 tff(6157,plain,
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[6156, 297, 316, 169])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[563, 6157])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[3962, 177, 317, 6158])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[267, 6159])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[1213, 91, 6158, 317, 177])).
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% 3.14/3.38 inference(unit_resolution,[status(thm)],[408, 6161])).
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% 3.14/3.38 tff(6164,plain,
% 3.14/3.38 (((~b(s(z), s(s(s(s(z)))))) | (~b(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(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))))),
% 3.14/3.38 inference(rewrite,[status(thm)],[])).
% 3.14/3.38 tff(6165,plain,
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% 3.14/3.38 inference(monotonicity,[status(thm)],[6164])).
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% 3.14/3.38 inference(transitivity,[status(thm)],[6165, 6163])).
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% 3.14/3.38 inference(quant_inst,[status(thm)],[])).
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% 3.14/3.38 inference(modus_ponens,[status(thm)],[6167, 6166])).
% 3.14/3.38 tff(6169,plain,
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% 3.14/3.38 tff(6184,plain,
% 3.14/3.38 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[689, 6183])).
% 3.14/3.38 tff(6185,plain,
% 3.14/3.38 (~b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[4395, 6184, 565, 177])).
% 3.14/3.38 tff(6186,plain,
% 3.14/3.38 (r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[394, 6185])).
% 3.14/3.38 tff(6187,plain,
% 3.14/3.38 (~b(s(s(s(s(s(z))))), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[4060, 6184, 178, 6176])).
% 3.14/3.38 tff(6188,plain,
% 3.14/3.38 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[427, 6187])).
% 3.14/3.38 tff(6189,plain,
% 3.14/3.38 ($false),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[447, 6188, 6186, 1215, 6174])).
% 3.14/3.38 tff(6190,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(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(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.38 tff(6191,plain,
% 3.14/3.38 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6190, 177, 6158, 317, 6172])).
% 3.14/3.38 tff(6192,plain,
% 3.14/3.38 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[246, 6191])).
% 3.14/3.38 tff(6193,plain,
% 3.14/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.38 inference(rewrite,[status(thm)],[])).
% 3.14/3.38 tff(6194,plain,
% 3.14/3.38 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.38 inference(rewrite,[status(thm)],[])).
% 3.14/3.38 tff(6195,plain,
% 3.14/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.14/3.38 inference(monotonicity,[status(thm)],[6194])).
% 3.14/3.38 tff(6196,plain,
% 3.14/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.14/3.38 inference(transitivity,[status(thm)],[6195, 6193])).
% 3.14/3.38 tff(6197,plain,
% 3.14/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.14/3.38 inference(quant_inst,[status(thm)],[])).
% 3.14/3.38 tff(6198,plain,
% 3.14/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.14/3.38 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 3.14/3.38 tff(6199,plain,
% 3.14/3.38 ($false),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6198, 91, 565, 178, 318, 177, 316, 297])).
% 3.14/3.38 tff(6200,plain,((~b(s(s(s(s(z)))), s(s(s(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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.38 tff(6201,plain,
% 3.14/3.38 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[6200, 177, 317, 6158, 316, 297])).
% 3.14/3.38 tff(6202,plain,
% 3.14/3.38 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[336, 6201])).
% 3.14/3.38 tff(6203,plain,
% 3.14/3.38 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[4405, 6202, 297, 6171, 169])).
% 3.14/3.38 tff(6204,plain,
% 3.14/3.38 (b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.38 inference(unit_resolution,[status(thm)],[1093, 6203])).
% 3.14/3.38 tff(6205,plain,
% 3.14/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6206,plain,
% 3.14/3.39 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6207,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 3.14/3.39 inference(monotonicity,[status(thm)],[6206])).
% 3.14/3.39 tff(6208,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.14/3.39 inference(transitivity,[status(thm)],[6207, 6205])).
% 3.14/3.39 tff(6209,plain,
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% 3.14/3.39 inference(quant_inst,[status(thm)],[])).
% 3.14/3.39 tff(6210,plain,
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% 3.14/3.39 inference(modus_ponens,[status(thm)],[6209, 6208])).
% 3.14/3.39 tff(6211,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6210, 91, 79, 1073, 316, 298])).
% 3.14/3.39 tff(6212,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6213,plain,
% 3.14/3.39 (~b(s(s(s(s(s(z))))), z)),
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% 3.14/3.39 tff(6214,plain,
% 3.14/3.39 (r(s(s(s(s(s(z))))), z)),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[427, 6213])).
% 3.14/3.39 tff(6215,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(z))),
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% 3.14/3.39 tff(6216,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(z))),
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% 3.14/3.39 tff(6217,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(z))),
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% 3.14/3.39 tff(6218,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[394, 6217])).
% 3.14/3.39 tff(6219,plain,
% 3.14/3.39 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4419, 6218, 297, 348])).
% 3.14/3.39 tff(6220,plain,
% 3.14/3.39 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[163, 6219])).
% 3.14/3.39 tff(6221,plain,
% 3.14/3.39 (~r(z, s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[5620, 6220, 411, 5528])).
% 3.14/3.39 tff(6222,plain,
% 3.14/3.39 (b(z, s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[113, 6221])).
% 3.14/3.39 tff(6223,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[581, 91, 6218, 565, 6222, 178, 348, 316])).
% 3.14/3.39 tff(6224,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6225,plain,
% 3.14/3.39 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6224, 6204, 317, 316, 6158, 297, 6160, 6162])).
% 3.14/3.39 tff(6226,plain,
% 3.14/3.39 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[1313, 6225])).
% 3.14/3.39 tff(6227,plain,
% 3.14/3.39 (~r(z, s(s(s(s(s(s(z)))))))),
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% 3.14/3.39 tff(6228,plain,
% 3.14/3.39 (b(z, s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[1093, 6227])).
% 3.14/3.39 tff(6229,plain,
% 3.14/3.39 (~b(z, s(s(s(s(s(z))))))),
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% 3.14/3.39 tff(6230,plain,
% 3.14/3.39 (~r(z, s(s(s(s(s(z))))))),
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% 3.14/3.39 tff(6231,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[113, 6230, 6229])).
% 3.14/3.39 tff(6232,plain,((~b(s(s(s(s(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(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6233,plain,
% 3.14/3.39 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6232, 177, 74, 178, 565])).
% 3.14/3.39 tff(6234,plain,
% 3.14/3.39 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[369, 6233])).
% 3.14/3.39 tff(6235,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[378, 6234, 5384, 5606])).
% 3.14/3.39 tff(6236,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[246, 6235])).
% 3.14/3.39 tff(6237,plain,
% 3.14/3.39 (~b(z, s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[573, 74, 178, 565])).
% 3.14/3.39 tff(6238,plain,
% 3.14/3.39 (r(z, s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[267, 6237])).
% 3.14/3.39 tff(6239,plain,
% 3.14/3.39 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[521, 177, 178, 74, 297, 5384, 5606, 316])).
% 3.14/3.39 tff(6240,plain,
% 3.14/3.39 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[1313, 6239])).
% 3.14/3.39 tff(6241,plain,
% 3.14/3.39 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[212, 6234, 5606, 6240])).
% 3.14/3.39 tff(6242,plain,
% 3.14/3.39 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[689, 6241])).
% 3.14/3.39 tff(6243,plain,
% 3.14/3.39 (~b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4395, 6242, 565, 177])).
% 3.14/3.39 tff(6244,plain,
% 3.14/3.39 (r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[394, 6243])).
% 3.14/3.39 tff(6245,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[447, 6244, 5616, 6238])).
% 3.14/3.39 tff(6246,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[427, 6245])).
% 3.14/3.39 tff(6247,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6210, 91, 6246, 1073, 316, 6236])).
% 3.14/3.39 tff(6248,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(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(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6249,plain,
% 3.14/3.39 (~b(s(s(s(s(z)))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6248, 6228, 316, 6158, 74, 317, 297])).
% 3.14/3.39 tff(6250,plain,
% 3.14/3.39 (r(s(s(s(s(z)))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[201, 6249])).
% 3.14/3.39 tff(6251,plain,
% 3.14/3.39 (~b(z, s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[573, 74, 317, 6158])).
% 3.14/3.39 tff(6252,plain,
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% 3.14/3.39 inference(unit_resolution,[status(thm)],[267, 6251])).
% 3.14/3.39 tff(6253,plain,
% 3.14/3.39 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6224, 5733, 317, 316, 6158, 297, 6252, 6228])).
% 3.14/3.39 tff(6254,plain,
% 3.14/3.39 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[1313, 6253])).
% 3.14/3.39 tff(6255,plain,
% 3.14/3.39 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4207, 6254, 316, 317, 297, 337, 5742, 6250, 74])).
% 3.14/3.39 tff(6256,plain,
% 3.14/3.39 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[689, 6255])).
% 3.14/3.39 tff(6257,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[447, 4159, 411, 270])).
% 3.14/3.39 tff(6258,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[394, 6257])).
% 3.14/3.39 tff(6259,plain,
% 3.14/3.39 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[677, 81, 178, 669])).
% 3.14/3.39 tff(6260,plain,
% 3.14/3.39 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[369, 6259])).
% 3.14/3.39 tff(6261,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[378, 6260, 347, 204])).
% 3.14/3.39 tff(6262,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[246, 6261])).
% 3.14/3.39 tff(6263,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4253, 6262, 6258, 565, 204, 544, 203, 669, 297])).
% 3.14/3.39 tff(6264,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6265,plain,
% 3.14/3.39 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6264, 5742, 6158, 6250, 6254, 6256, 297, 337, 5733, 6252, 317])).
% 3.14/3.39 tff(6266,plain,
% 3.14/3.39 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[113, 6265])).
% 3.14/3.39 tff(6267,plain,
% 3.14/3.39 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[511, 410, 270, 75])).
% 3.14/3.39 tff(6268,plain,
% 3.14/3.39 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[163, 6267])).
% 3.14/3.39 tff(6269,plain,
% 3.14/3.39 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[677, 669, 349, 178])).
% 3.14/3.39 tff(6270,plain,
% 3.14/3.39 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[113, 6269])).
% 3.14/3.39 tff(6271,plain,
% 3.14/3.39 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[511, 6270, 410, 270])).
% 3.14/3.39 tff(6272,plain,
% 3.14/3.39 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[163, 6271])).
% 3.14/3.39 tff(6273,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))) | (~b(s(z), s(s(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(X1, 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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6274,plain,
% 3.14/3.39 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6275,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, 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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.14/3.39 inference(monotonicity,[status(thm)],[6274])).
% 3.14/3.39 tff(6276,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, 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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.14/3.39 inference(transitivity,[status(thm)],[6275, 6273])).
% 3.14/3.39 tff(6277,plain,
% 3.14/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.14/3.39 inference(quant_inst,[status(thm)],[])).
% 3.14/3.39 tff(6278,plain,
% 3.14/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.14/3.39 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 3.14/3.39 tff(6279,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6278, 91, 565, 6272, 669, 349])).
% 3.14/3.39 tff(6280,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))) | (~r(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6281,plain,
% 3.14/3.39 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6280, 410, 178, 565, 270, 669])).
% 3.14/3.39 tff(6282,plain,
% 3.14/3.39 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[369, 6281])).
% 3.14/3.39 tff(6283,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[378, 6282, 347, 204])).
% 3.14/3.39 tff(6284,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[246, 6283])).
% 3.14/3.39 tff(6285,plain,
% 3.14/3.39 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4243, 6282, 204, 544, 203])).
% 3.14/3.39 tff(6286,plain,
% 3.14/3.39 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[542, 6285])).
% 3.14/3.39 tff(6287,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4323, 6286, 6284, 297, 6268])).
% 3.14/3.39 tff(6288,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(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(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6289,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6288, 5742, 297, 6250, 6254, 337, 6252, 6266, 317, 6158, 6256])).
% 3.14/3.39 tff(6290,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[394, 6289])).
% 3.14/3.39 tff(6291,plain,
% 3.14/3.39 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4253, 6290, 6158, 5742, 6250, 6254, 6256, 297])).
% 3.14/3.39 tff(6292,plain,
% 3.14/3.39 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[246, 6291])).
% 3.14/3.39 tff(6293,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[378, 6292, 337, 5742])).
% 3.14/3.39 tff(6294,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[369, 6293])).
% 3.14/3.39 tff(6295,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6296,plain,
% 3.14/3.39 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6297,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, 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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.14/3.39 inference(monotonicity,[status(thm)],[6296])).
% 3.14/3.39 tff(6298,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, 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(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.14/3.39 inference(transitivity,[status(thm)],[6297, 6295])).
% 3.14/3.39 tff(6299,plain,
% 3.14/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.14/3.39 inference(quant_inst,[status(thm)],[])).
% 3.14/3.39 tff(6300,plain,
% 3.14/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.14/3.39 inference(modus_ponens,[status(thm)],[6299, 6298])).
% 3.14/3.39 tff(6301,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6300, 91, 77, 565, 176, 669])).
% 3.14/3.39 tff(6302,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6303,plain,
% 3.14/3.39 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6302, 6290, 6158, 6256])).
% 3.14/3.39 tff(6304,plain,
% 3.14/3.39 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[163, 6303])).
% 3.14/3.39 tff(6305,plain,
% 3.14/3.39 (~r(s(s(s(s(s(z))))), z)),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[5620, 6304, 5733, 6266])).
% 3.14/3.39 tff(6306,plain,
% 3.14/3.39 (b(s(s(s(s(s(z))))), z)),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[427, 6305])).
% 3.14/3.39 tff(6307,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[597, 6306, 6294, 317, 74])).
% 3.14/3.39 tff(6308,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6309,plain,
% 3.14/3.39 (~b(s(s(s(s(z)))), z)),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6308, 297, 316, 169])).
% 3.14/3.39 tff(6310,plain,
% 3.14/3.39 (r(s(s(s(s(z)))), z)),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[314, 6309])).
% 3.14/3.39 tff(6311,plain,
% 3.14/3.39 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[5459, 6214, 6310, 6202, 6226])).
% 3.14/3.39 tff(6312,plain,
% 3.14/3.39 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[689, 6311])).
% 3.14/3.39 tff(6313,plain,
% 3.14/3.39 ($false),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4395, 6312, 6216, 6158, 177])).
% 3.14/3.39 tff(6314,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.39 tff(6315,plain,
% 3.14/3.39 (~b(s(s(s(s(z)))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[6314, 297, 316, 169])).
% 3.14/3.39 tff(6316,plain,
% 3.14/3.39 (r(s(s(s(s(z)))), s(z))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[201, 6315])).
% 3.14/3.39 tff(6317,plain,
% 3.14/3.39 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[4060, 81, 178, 79])).
% 3.14/3.39 tff(6318,plain,
% 3.14/3.39 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[689, 6317])).
% 3.14/3.39 tff(6319,plain,
% 3.14/3.39 (~r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[698, 6318, 544, 410])).
% 3.14/3.39 tff(6320,plain,
% 3.14/3.39 (b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.39 inference(unit_resolution,[status(thm)],[163, 6319])).
% 3.14/3.39 tff(6321,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6322,plain,
% 3.14/3.39 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(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(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.14/3.39 inference(rewrite,[status(thm)],[])).
% 3.14/3.39 tff(6323,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))))),
% 3.14/3.39 inference(monotonicity,[status(thm)],[6322])).
% 3.14/3.39 tff(6324,plain,
% 3.14/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.14/3.39 inference(transitivity,[status(thm)],[6323, 6321])).
% 3.14/3.39 tff(6325,plain,
% 3.14/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(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))))))))),
% 3.14/3.40 inference(quant_inst,[status(thm)],[])).
% 3.14/3.40 tff(6326,plain,
% 3.14/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))),
% 3.14/3.40 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 3.14/3.40 tff(6327,plain,
% 3.14/3.40 ($false),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[6326, 91, 79, 81, 6320, 72])).
% 3.14/3.40 tff(6328,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.40 tff(6329,plain,
% 3.14/3.40 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[6328, 410, 72, 544, 79, 178])).
% 3.14/3.40 tff(6330,plain,
% 3.14/3.40 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[113, 6329])).
% 3.14/3.40 tff(6331,plain,
% 3.14/3.40 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[224, 6330, 6021, 216])).
% 3.14/3.40 tff(6332,plain,
% 3.14/3.40 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[1313, 6331])).
% 3.14/3.40 tff(6333,plain,
% 3.14/3.40 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[5909, 6330, 1020, 544, 410])).
% 3.14/3.40 tff(6334,plain,
% 3.14/3.40 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[689, 6333])).
% 3.14/3.40 tff(6335,plain,
% 3.14/3.40 ($false),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[1050, 6334, 6332, 178, 72, 316, 297])).
% 3.14/3.40 tff(6336,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.40 tff(6337,plain,
% 3.14/3.40 (~r(s(s(s(s(s(z))))), s(z))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[6336, 72, 178, 316, 297, 1020, 544, 216, 79])).
% 3.14/3.40 tff(6338,plain,
% 3.14/3.40 (b(s(s(s(s(s(z))))), s(z))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[394, 6337])).
% 3.14/3.40 tff(6339,plain,
% 3.14/3.40 (~b(z, s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[99, 6338, 79, 72])).
% 3.14/3.40 tff(6340,plain,
% 3.14/3.40 (r(z, s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[113, 6339])).
% 3.14/3.40 tff(6341,plain,
% 3.14/3.40 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[224, 6340, 6021, 216])).
% 3.14/3.40 tff(6342,plain,
% 3.14/3.40 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[1313, 6341])).
% 3.14/3.40 tff(6343,plain,
% 3.14/3.40 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[1050, 6342, 178, 72, 316, 297])).
% 3.14/3.40 tff(6344,plain,
% 3.14/3.40 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[689, 6343])).
% 3.14/3.40 tff(6345,plain,
% 3.14/3.40 (~b(s(z), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[4419, 6342, 297, 6338])).
% 3.14/3.40 tff(6346,plain,
% 3.14/3.40 (r(s(z), s(s(s(s(s(z))))))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[163, 6345])).
% 3.14/3.40 tff(6347,plain,
% 3.14/3.40 ($false),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[1168, 6346, 6344, 178, 1020, 72, 79, 6342, 6338, 316])).
% 3.14/3.40 tff(6348,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.14/3.40 tff(6349,plain,
% 3.14/3.40 (~b(s(z), z)),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[6348, 79, 1020, 178, 316, 297, 216, 544])).
% 3.14/3.40 tff(6350,plain,
% 3.14/3.40 (r(s(z), z)),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[408, 6349])).
% 3.14/3.40 tff(6351,plain,
% 3.14/3.40 (~r(z, s(z))),
% 3.14/3.40 inference(unit_resolution,[status(thm)],[5940, 6350, 1020, 544])).
% 3.14/3.40 tff(6352,plain,
% 3.14/3.40 (b(z, s(z))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[267, 6351])).
% 3.24/3.40 tff(6353,plain,
% 3.24/3.40 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[1060, 6350, 1020, 544, 6021])).
% 3.24/3.40 tff(6354,plain,
% 3.24/3.40 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[336, 6353])).
% 3.24/3.40 tff(6355,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6356,plain,
% 3.24/3.40 (((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6357,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.24/3.40 inference(monotonicity,[status(thm)],[6356])).
% 3.24/3.40 tff(6358,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.40 inference(transitivity,[status(thm)],[6357, 6355])).
% 3.24/3.40 tff(6359,plain,
% 3.24/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.40 inference(quant_inst,[status(thm)],[])).
% 3.24/3.40 tff(6360,plain,
% 3.24/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.24/3.40 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 3.24/3.40 tff(6361,plain,
% 3.24/3.40 ($false),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6360, 91, 76, 565, 318, 297])).
% 3.24/3.40 tff(6362,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.40 tff(6363,plain,
% 3.24/3.40 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6362, 6354, 297, 565])).
% 3.24/3.40 tff(6364,plain,
% 3.24/3.40 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[69, 6363])).
% 3.24/3.40 tff(6365,plain,
% 3.24/3.40 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[1060, 411, 1020, 544, 215])).
% 3.24/3.40 tff(6366,plain,
% 3.24/3.40 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[336, 6365])).
% 3.24/3.40 tff(6367,plain,
% 3.24/3.40 (~r(z, s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[224, 203, 215, 216])).
% 3.24/3.40 tff(6368,plain,
% 3.24/3.40 (b(z, s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[113, 6367])).
% 3.24/3.40 tff(6369,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6370,plain,
% 3.24/3.40 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6371,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.40 inference(monotonicity,[status(thm)],[6370])).
% 3.24/3.40 tff(6372,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.40 inference(transitivity,[status(thm)],[6371, 6369])).
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% 3.24/3.40 inference(quant_inst,[status(thm)],[])).
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% 3.24/3.40 inference(modus_ponens,[status(thm)],[6373, 6372])).
% 3.24/3.40 tff(6375,plain,
% 3.24/3.40 ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6374, 91, 79, 178, 318, 316])).
% 3.24/3.40 tff(6376,plain,
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% 3.24/3.40 inference(unit_resolution,[status(thm)],[6375, 5441, 6368])).
% 3.24/3.40 tff(6377,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.40 tff(6378,plain,
% 3.24/3.40 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6377, 115, 178, 6366, 316, 204, 79, 215, 216])).
% 3.24/3.40 tff(6379,plain,
% 3.24/3.40 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[1313, 6378])).
% 3.24/3.40 tff(6380,plain,
% 3.24/3.40 (~b(z, s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[419, 6379, 316, 79])).
% 3.24/3.40 tff(6381,plain,
% 3.24/3.40 (r(z, s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[113, 6380])).
% 3.24/3.40 tff(6382,plain,
% 3.24/3.40 ($false),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6007, 125, 6381, 544, 411, 1020, 115])).
% 3.24/3.40 tff(6383,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.40 tff(6384,plain,
% 3.24/3.40 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 3.24/3.40 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 3.24/3.40 tff(6386,plain,
% 3.24/3.40 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
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% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6389,plain,
% 3.24/3.40 (((~b(s(z), s(s(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(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(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(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6390,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(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(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.24/3.40 inference(monotonicity,[status(thm)],[6389])).
% 3.24/3.40 tff(6391,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(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(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.40 inference(transitivity,[status(thm)],[6390, 6388])).
% 3.24/3.40 tff(6392,plain,
% 3.24/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(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(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.24/3.40 inference(quant_inst,[status(thm)],[])).
% 3.24/3.40 tff(6393,plain,
% 3.24/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.24/3.40 inference(modus_ponens,[status(thm)],[6392, 6391])).
% 3.24/3.40 tff(6394,plain,
% 3.24/3.40 ($false),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6393, 91, 565, 318, 526, 297])).
% 3.24/3.40 tff(6395,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.40 tff(6396,plain,
% 3.24/3.40 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6395, 6354, 565, 297])).
% 3.24/3.40 tff(6397,plain,
% 3.24/3.40 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[542, 6396])).
% 3.24/3.40 tff(6398,plain,
% 3.24/3.40 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[4243, 6387, 544, 6397, 6364])).
% 3.24/3.40 tff(6399,plain,
% 3.24/3.40 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[1313, 6398])).
% 3.24/3.40 tff(6400,plain,
% 3.24/3.40 (~b(z, s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[4060, 6385, 178, 79])).
% 3.24/3.40 tff(6401,plain,
% 3.24/3.40 (r(z, s(s(s(s(s(z))))))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[113, 6400])).
% 3.24/3.40 tff(6402,plain,
% 3.24/3.40 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6403,plain,
% 3.24/3.40 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6404,plain,
% 3.24/3.40 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.24/3.40 inference(monotonicity,[status(thm)],[6403])).
% 3.24/3.40 tff(6405,plain,
% 3.24/3.40 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.40 inference(transitivity,[status(thm)],[6404, 6402])).
% 3.24/3.40 tff(6406,plain,
% 3.24/3.40 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 3.24/3.40 inference(quant_inst,[status(thm)],[])).
% 3.24/3.40 tff(6407,plain,
% 3.24/3.40 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.24/3.40 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 3.24/3.40 tff(6408,plain,
% 3.24/3.40 (~r(z, s(s(z)))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[6407, 125, 75, 215, 216, 5707])).
% 3.24/3.40 tff(6409,plain,
% 3.24/3.40 (b(z, s(s(z)))),
% 3.24/3.40 inference(unit_resolution,[status(thm)],[3400, 6408])).
% 3.24/3.40 tff(6410,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6411,plain,
% 3.24/3.40 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.24/3.40 inference(rewrite,[status(thm)],[])).
% 3.24/3.40 tff(6412,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z)))))),
% 3.24/3.40 inference(monotonicity,[status(thm)],[6411])).
% 3.24/3.40 tff(6413,plain,
% 3.24/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.24/3.40 inference(transitivity,[status(thm)],[6412, 6410])).
% 3.24/3.40 tff(6414,plain,
% 3.24/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.24/3.41 inference(quant_inst,[status(thm)],[])).
% 3.24/3.41 tff(6415,plain,
% 3.24/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z)))),
% 3.24/3.41 inference(modus_ponens,[status(thm)],[6414, 6413])).
% 3.24/3.41 tff(6416,plain,
% 3.24/3.41 ($false),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6415, 91, 3382, 77, 79, 348, 316, 3451])).
% 3.24/3.41 tff(6417,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.41 tff(6418,plain,
% 3.24/3.41 (~b(s(s(z)), s(z))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6417, 6409, 77, 79, 348, 316])).
% 3.24/3.41 tff(6419,plain,
% 3.24/3.41 (r(s(s(z)), s(z))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[857, 6418])).
% 3.24/3.41 tff(6420,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6421,plain,
% 3.24/3.41 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6422,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))))),
% 3.24/3.41 inference(monotonicity,[status(thm)],[6421])).
% 3.24/3.41 tff(6423,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.24/3.41 inference(transitivity,[status(thm)],[6422, 6420])).
% 3.24/3.41 tff(6424,plain,
% 3.24/3.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))),
% 3.24/3.41 inference(quant_inst,[status(thm)],[])).
% 3.24/3.41 tff(6425,plain,
% 3.24/3.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))),
% 3.24/3.41 inference(modus_ponens,[status(thm)],[6424, 6423])).
% 3.24/3.41 tff(6426,plain,
% 3.24/3.41 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6425, 125, 75, 411, 5707])).
% 3.24/3.41 tff(6427,plain,
% 3.24/3.41 (~r(s(s(z)), z)),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6426, 6419])).
% 3.24/3.41 tff(6428,plain,
% 3.24/3.41 (b(s(s(z)), z)),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[898, 6427])).
% 3.24/3.41 tff(6429,plain,
% 3.24/3.41 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[4634, 6428, 6409, 178])).
% 3.24/3.41 tff(6430,plain,
% 3.24/3.41 (r(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[938, 6429])).
% 3.24/3.41 tff(6431,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6432,plain,
% 3.24/3.41 (((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6433,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))))),
% 3.24/3.41 inference(monotonicity,[status(thm)],[6432])).
% 3.24/3.41 tff(6434,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.24/3.41 inference(transitivity,[status(thm)],[6433, 6431])).
% 3.24/3.41 tff(6435,plain,
% 3.24/3.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.24/3.41 inference(quant_inst,[status(thm)],[])).
% 3.24/3.41 tff(6436,plain,
% 3.24/3.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))),
% 3.24/3.41 inference(modus_ponens,[status(thm)],[6435, 6434])).
% 3.24/3.41 tff(6437,plain,
% 3.24/3.41 ($false),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6436, 125, 6430, 544, 411, 1020, 6419])).
% 3.24/3.41 tff(6438,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.41 tff(6439,plain,
% 3.24/3.41 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6438, 77, 6350, 1020, 178, 6401, 544, 79, 6399, 316, 6021, 216])).
% 3.24/3.41 tff(6440,plain,
% 3.24/3.41 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[5666, 6439])).
% 3.24/3.41 tff(6441,plain,
% 3.24/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6442,plain,
% 3.24/3.41 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6443,plain,
% 3.24/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.24/3.41 inference(monotonicity,[status(thm)],[6442])).
% 3.24/3.41 tff(6444,plain,
% 3.24/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.41 inference(transitivity,[status(thm)],[6443, 6441])).
% 3.24/3.41 tff(6445,plain,
% 3.24/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.24/3.41 inference(quant_inst,[status(thm)],[])).
% 3.24/3.41 tff(6446,plain,
% 3.24/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.24/3.41 inference(modus_ponens,[status(thm)],[6445, 6444])).
% 3.24/3.41 tff(6447,plain,
% 3.24/3.41 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6446, 91, 77, 6440, 6354, 6385, 297])).
% 3.24/3.41 tff(6448,plain,
% 3.24/3.41 (r(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[4476, 6447])).
% 3.24/3.41 tff(6449,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6450,plain,
% 3.24/3.41 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6451,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.24/3.41 inference(monotonicity,[status(thm)],[6450])).
% 3.24/3.41 tff(6452,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.24/3.41 inference(transitivity,[status(thm)],[6451, 6449])).
% 3.24/3.41 tff(6453,plain,
% 3.24/3.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.24/3.41 inference(quant_inst,[status(thm)],[])).
% 3.24/3.41 tff(6454,plain,
% 3.24/3.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.24/3.41 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 3.24/3.41 tff(6455,plain,
% 3.24/3.41 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6454, 125, 6364, 544, 6397, 6448])).
% 3.24/3.41 tff(6456,plain,
% 3.24/3.41 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[3164, 6455])).
% 3.24/3.41 tff(6457,plain,
% 3.24/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6458,plain,
% 3.24/3.41 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(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)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6459,plain,
% 3.24/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(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)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.24/3.41 inference(monotonicity,[status(thm)],[6458])).
% 3.24/3.41 tff(6460,plain,
% 3.24/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(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)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.41 inference(transitivity,[status(thm)],[6459, 6457])).
% 3.24/3.41 tff(6461,plain,
% 3.24/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.24/3.41 inference(quant_inst,[status(thm)],[])).
% 3.24/3.41 tff(6462,plain,
% 3.24/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.24/3.41 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 3.24/3.41 tff(6463,plain,
% 3.24/3.41 ($false),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6462, 91, 6456, 565, 6440, 6354, 6385, 297])).
% 3.24/3.41 tff(6464,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.41 tff(6465,plain,
% 3.24/3.41 (~b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[6464, 79, 297, 544, 1020, 178, 565, 316, 216])).
% 3.24/3.41 tff(6466,plain,
% 3.24/3.41 (r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.41 inference(unit_resolution,[status(thm)],[394, 6465])).
% 3.24/3.41 tff(6467,plain,
% 3.24/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.41 inference(rewrite,[status(thm)],[])).
% 3.24/3.41 tff(6468,plain,
% 3.24/3.41 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6469,plain,
% 3.24/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.42 inference(monotonicity,[status(thm)],[6468])).
% 3.24/3.42 tff(6470,plain,
% 3.24/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.42 inference(transitivity,[status(thm)],[6469, 6467])).
% 3.24/3.42 tff(6471,plain,
% 3.24/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.24/3.42 inference(quant_inst,[status(thm)],[])).
% 3.24/3.42 tff(6472,plain,
% 3.24/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.42 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 3.24/3.42 tff(6473,plain,
% 3.24/3.42 ($false),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6472, 125, 6466, 6364, 544, 216, 6387])).
% 3.24/3.42 tff(6474,plain,((~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(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(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.42 tff(6475,plain,
% 3.24/3.42 (~b(s(s(s(s(s(z))))), z)),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6474, 216, 544, 297, 1020, 178, 565, 316])).
% 3.24/3.42 tff(6476,plain,
% 3.24/3.42 (r(s(s(s(s(s(z))))), z)),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[427, 6475])).
% 3.24/3.42 tff(6477,plain,
% 3.24/3.42 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6045, 71, 215, 1020, 216])).
% 3.24/3.42 tff(6478,plain,
% 3.24/3.42 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[369, 6477])).
% 3.24/3.42 tff(6479,plain,
% 3.24/3.42 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[677, 6368, 178, 6478])).
% 3.24/3.42 tff(6480,plain,
% 3.24/3.42 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[689, 6479])).
% 3.24/3.42 tff(6481,plain,
% 3.24/3.42 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[4195, 6480, 216, 203])).
% 3.24/3.42 tff(6482,plain,
% 3.24/3.42 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[336, 6481])).
% 3.24/3.42 tff(6483,plain,
% 3.24/3.42 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6395, 6482, 565, 297])).
% 3.24/3.42 tff(6484,plain,
% 3.24/3.42 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[542, 6483])).
% 3.24/3.42 tff(6485,plain,
% 3.24/3.42 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6362, 6482, 297, 565])).
% 3.24/3.42 tff(6486,plain,
% 3.24/3.42 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[69, 6485])).
% 3.24/3.42 tff(6487,plain,
% 3.24/3.42 (~r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[3299, 6486, 6480, 6484, 203])).
% 3.24/3.42 tff(6488,plain,
% 3.24/3.42 (b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[394, 6487])).
% 3.24/3.42 tff(6489,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6490,plain,
% 3.24/3.42 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6491,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.24/3.42 inference(monotonicity,[status(thm)],[6490])).
% 3.24/3.42 tff(6492,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(transitivity,[status(thm)],[6491, 6489])).
% 3.24/3.42 tff(6493,plain,
% 3.24/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 3.24/3.42 inference(quant_inst,[status(thm)],[])).
% 3.24/3.42 tff(6494,plain,
% 3.24/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.24/3.42 inference(modus_ponens,[status(thm)],[6493, 6492])).
% 3.24/3.42 tff(6495,plain,
% 3.24/3.42 (~b(s(s(z)), z)),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6494, 91, 77, 565, 81, 178, 5653])).
% 3.24/3.42 tff(6496,plain,
% 3.24/3.42 (r(s(s(z)), z)),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[898, 6495])).
% 3.24/3.42 tff(6497,plain,
% 3.24/3.42 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[677, 81, 178, 6478])).
% 3.24/3.42 tff(6498,plain,
% 3.24/3.42 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[689, 6497])).
% 3.24/3.42 tff(6499,plain,
% 3.24/3.42 ($false),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6454, 125, 204, 544, 3103, 545, 4539])).
% 3.24/3.42 tff(6500,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.42 tff(6501,plain,
% 3.24/3.42 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6500, 4539, 544, 545, 204])).
% 3.24/3.42 tff(6502,plain,
% 3.24/3.42 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[3164, 6501])).
% 3.24/3.42 tff(6503,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6504,plain,
% 3.24/3.42 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(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(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6505,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.24/3.42 inference(monotonicity,[status(thm)],[6504])).
% 3.24/3.42 tff(6506,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(transitivity,[status(thm)],[6505, 6503])).
% 3.24/3.42 tff(6507,plain,
% 3.24/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.24/3.42 inference(quant_inst,[status(thm)],[])).
% 3.24/3.42 tff(6508,plain,
% 3.24/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.24/3.42 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 3.24/3.42 tff(6509,plain,
% 3.24/3.42 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6508, 91, 6502, 5653, 318, 923])).
% 3.24/3.42 tff(6510,plain,
% 3.24/3.42 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[5705, 6509])).
% 3.24/3.42 tff(6511,plain,
% 3.24/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6512,plain,
% 3.24/3.42 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6513,plain,
% 3.24/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 3.24/3.42 inference(monotonicity,[status(thm)],[6512])).
% 3.24/3.42 tff(6514,plain,
% 3.24/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.24/3.42 inference(transitivity,[status(thm)],[6513, 6511])).
% 3.24/3.42 tff(6515,plain,
% 3.24/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))),
% 3.24/3.42 inference(quant_inst,[status(thm)],[])).
% 3.24/3.42 tff(6516,plain,
% 3.24/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.24/3.42 inference(modus_ponens,[status(thm)],[6515, 6514])).
% 3.24/3.42 tff(6517,plain,
% 3.24/3.42 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6516, 125, 215, 204, 4539])).
% 3.24/3.42 tff(6518,plain,
% 3.24/3.42 ($false),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6517, 6496, 6510])).
% 3.24/3.42 tff(6519,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.42 tff(6520,plain,
% 3.24/3.42 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6519, 923, 204, 77, 565, 81, 178, 5653, 318, 215, 544, 545])).
% 3.24/3.42 tff(6521,plain,
% 3.24/3.42 (b(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[4476, 6520])).
% 3.24/3.42 tff(6522,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6523,plain,
% 3.24/3.42 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))) <=> ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(rewrite,[status(thm)],[])).
% 3.24/3.42 tff(6524,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(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(z))))), s(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(X1, 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(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.24/3.42 inference(monotonicity,[status(thm)],[6523])).
% 3.24/3.42 tff(6525,plain,
% 3.24/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(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(z))))), s(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(X1, 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(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.42 inference(transitivity,[status(thm)],[6524, 6522])).
% 3.24/3.42 tff(6526,plain,
% 3.24/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.24/3.42 inference(quant_inst,[status(thm)],[])).
% 3.24/3.42 tff(6527,plain,
% 3.24/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.24/3.42 inference(modus_ponens,[status(thm)],[6526, 6525])).
% 3.24/3.42 tff(6528,plain,
% 3.24/3.42 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[6527, 91, 6521, 5653, 923, 349])).
% 3.24/3.42 tff(6529,plain,
% 3.24/3.42 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[5101, 6528])).
% 3.24/3.42 tff(6530,plain,
% 3.24/3.42 ($false),
% 3.24/3.42 inference(unit_resolution,[status(thm)],[5096, 6529, 6496, 71, 216, 215])).
% 3.24/3.42 tff(6531,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~r(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)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.43 tff(6532,plain,
% 3.24/3.43 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6531, 5653, 216, 215, 71, 6478, 77, 565, 81, 178, 204, 318, 544, 545])).
% 3.24/3.43 tff(6533,plain,
% 3.24/3.43 (r(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[938, 6532])).
% 3.24/3.43 tff(6534,plain,
% 3.24/3.43 (~r(z, s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5145, 6533, 1020, 6498, 71])).
% 3.24/3.43 tff(6535,plain,
% 3.24/3.43 (b(z, s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[3400, 6534])).
% 3.24/3.43 tff(6536,plain,
% 3.24/3.43 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5129, 91, 6535, 77, 81, 5653])).
% 3.24/3.43 tff(6537,plain,
% 3.24/3.43 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5101, 6536])).
% 3.24/3.43 tff(6538,plain,
% 3.24/3.43 ($false),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5096, 6537, 6496, 71, 216, 215])).
% 3.24/3.43 tff(6539,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(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)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.43 tff(6540,plain,
% 3.24/3.43 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6539, 6488, 216, 215, 71, 6368, 565, 178, 1020, 6486, 6482, 544, 6484])).
% 3.24/3.43 tff(6541,plain,
% 3.24/3.43 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5666, 6540])).
% 3.24/3.43 tff(6542,plain,
% 3.24/3.43 (~r(z, s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5891, 6480, 1020, 544, 71])).
% 3.24/3.43 tff(6543,plain,
% 3.24/3.43 (b(z, s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[267, 6542])).
% 3.24/3.43 tff(6544,plain,
% 3.24/3.43 (~b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5950, 6488, 6368, 6543])).
% 3.24/3.43 tff(6545,plain,
% 3.24/3.43 (r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[163, 6544])).
% 3.24/3.43 tff(6546,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6547,plain,
% 3.24/3.43 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6548,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 3.24/3.43 inference(monotonicity,[status(thm)],[6547])).
% 3.24/3.43 tff(6549,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.43 inference(transitivity,[status(thm)],[6548, 6546])).
% 3.24/3.43 tff(6550,plain,
% 3.24/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.24/3.43 inference(quant_inst,[status(thm)],[])).
% 3.24/3.43 tff(6551,plain,
% 3.24/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 3.24/3.43 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 3.24/3.43 tff(6552,plain,
% 3.24/3.43 ($false),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6551, 91, 77, 429, 81, 72])).
% 3.24/3.43 tff(6553,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.43 tff(6554,plain,
% 3.24/3.43 (~b(s(z), z)),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6553, 6488, 6368, 6543])).
% 3.24/3.43 tff(6555,plain,
% 3.24/3.43 (r(s(z), z)),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[408, 6554])).
% 3.24/3.43 tff(6556,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6557,plain,
% 3.24/3.43 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6558,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 3.24/3.43 inference(monotonicity,[status(thm)],[6557])).
% 3.24/3.43 tff(6559,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.24/3.43 inference(transitivity,[status(thm)],[6558, 6556])).
% 3.24/3.43 tff(6560,plain,
% 3.24/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))),
% 3.24/3.43 inference(quant_inst,[status(thm)],[])).
% 3.24/3.43 tff(6561,plain,
% 3.24/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 3.24/3.43 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 3.24/3.43 tff(6562,plain,
% 3.24/3.43 (~r(s(z), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6561, 125, 6555, 71, 6545, 6541])).
% 3.24/3.43 tff(6563,plain,
% 3.24/3.43 (b(s(z), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[1004, 6562])).
% 3.24/3.43 tff(6564,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6565,plain,
% 3.24/3.43 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6566,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.24/3.43 inference(monotonicity,[status(thm)],[6565])).
% 3.24/3.43 tff(6567,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.43 inference(transitivity,[status(thm)],[6566, 6564])).
% 3.24/3.43 tff(6568,plain,
% 3.24/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.24/3.43 inference(quant_inst,[status(thm)],[])).
% 3.24/3.43 tff(6569,plain,
% 3.24/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.24/3.43 inference(modus_ponens,[status(thm)],[6568, 6567])).
% 3.24/3.43 tff(6570,plain,
% 3.24/3.43 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6569, 125, 71, 1020, 6480, 6541])).
% 3.24/3.43 tff(6571,plain,
% 3.24/3.43 (b(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[938, 6570])).
% 3.24/3.43 tff(6572,plain,
% 3.24/3.43 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5715, 6541, 203, 216])).
% 3.24/3.43 tff(6573,plain,
% 3.24/3.43 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5705, 6572])).
% 3.24/3.43 tff(6574,plain,
% 3.24/3.43 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[5298, 6563, 6573, 297])).
% 3.24/3.43 tff(6575,plain,
% 3.24/3.43 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[3164, 6574])).
% 3.24/3.43 tff(6576,plain,
% 3.24/3.43 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6500, 6575, 544, 6484, 6486])).
% 3.24/3.43 tff(6577,plain,
% 3.24/3.43 (b(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[4476, 6576])).
% 3.24/3.43 tff(6578,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6579,plain,
% 3.24/3.43 (((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6580,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.24/3.43 inference(monotonicity,[status(thm)],[6579])).
% 3.24/3.43 tff(6581,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.24/3.43 inference(transitivity,[status(thm)],[6580, 6578])).
% 3.24/3.43 tff(6582,plain,
% 3.24/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(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)))))),
% 3.24/3.43 inference(quant_inst,[status(thm)],[])).
% 3.24/3.43 tff(6583,plain,
% 3.24/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.24/3.43 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 3.24/3.43 tff(6584,plain,
% 3.24/3.43 ($false),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6583, 91, 6577, 565, 6573, 6571, 6563])).
% 3.24/3.43 tff(6585,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.43 tff(6586,plain,
% 3.24/3.43 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6585, 6476, 544, 297, 565, 1020, 216, 6021, 178])).
% 3.24/3.43 tff(6587,plain,
% 3.24/3.43 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[1313, 6586])).
% 3.24/3.43 tff(6588,plain,
% 3.24/3.43 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6045, 6476, 6021, 1020, 216])).
% 3.24/3.43 tff(6589,plain,
% 3.24/3.43 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[369, 6588])).
% 3.24/3.43 tff(6590,plain,
% 3.24/3.43 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[1132, 6587, 178, 6021, 6589, 297, 6476, 1020])).
% 3.24/3.43 tff(6591,plain,
% 3.24/3.43 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[336, 6590])).
% 3.24/3.43 tff(6592,plain,
% 3.24/3.43 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6395, 6591, 565, 297])).
% 3.24/3.43 tff(6593,plain,
% 3.24/3.43 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[542, 6592])).
% 3.24/3.43 tff(6594,plain,
% 3.24/3.43 (~r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[654, 6593, 6021, 216, 6476])).
% 3.24/3.43 tff(6595,plain,
% 3.24/3.43 (b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[394, 6594])).
% 3.24/3.43 tff(6596,plain,
% 3.24/3.43 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[581, 91, 77, 565, 81, 178, 348])).
% 3.24/3.43 tff(6597,plain,
% 3.24/3.43 (r(s(s(s(s(s(s(z)))))), z)),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[763, 6596])).
% 3.24/3.43 tff(6598,plain,
% 3.24/3.43 (~r(z, s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[1243, 4693, 545, 6597])).
% 3.24/3.43 tff(6599,plain,
% 3.24/3.43 (b(z, s(z))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[267, 6598])).
% 3.24/3.43 tff(6600,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6601,plain,
% 3.24/3.43 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6602,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.24/3.43 inference(monotonicity,[status(thm)],[6601])).
% 3.24/3.43 tff(6603,plain,
% 3.24/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.43 inference(transitivity,[status(thm)],[6602, 6600])).
% 3.24/3.43 tff(6604,plain,
% 3.24/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.24/3.43 inference(quant_inst,[status(thm)],[])).
% 3.24/3.43 tff(6605,plain,
% 3.24/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.24/3.43 inference(modus_ponens,[status(thm)],[6604, 6603])).
% 3.24/3.43 tff(6606,plain,
% 3.24/3.43 ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z)))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6605, 91, 77, 81, 348, 297])).
% 3.24/3.43 tff(6607,plain,
% 3.24/3.43 (~b(s(s(s(s(s(z))))), z)),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6606, 6599])).
% 3.24/3.43 tff(6608,plain,
% 3.24/3.43 (r(s(s(s(s(s(z))))), z)),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[427, 6607])).
% 3.24/3.43 tff(6609,plain,
% 3.24/3.43 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(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(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.24/3.43 inference(rewrite,[status(thm)],[])).
% 3.24/3.43 tff(6610,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.24/3.43 inference(monotonicity,[status(thm)],[6609])).
% 3.24/3.43 tff(6611,plain,
% 3.24/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.24/3.43 inference(transitivity,[status(thm)],[6610, 766])).
% 3.24/3.43 tff(6612,plain,
% 3.24/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(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(s(s(z)))))))))),
% 3.24/3.43 inference(quant_inst,[status(thm)],[])).
% 3.24/3.43 tff(6613,plain,
% 3.24/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.24/3.43 inference(modus_ponens,[status(thm)],[6612, 6611])).
% 3.24/3.43 tff(6614,plain,
% 3.24/3.43 ($false),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6613, 125, 6597, 215, 6608, 216])).
% 3.24/3.43 tff(6615,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.43 tff(6616,plain,
% 3.24/3.43 (~b(z, s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[6615, 6595, 565, 6021, 216, 6587, 297, 6593, 178, 6591])).
% 3.24/3.43 tff(6617,plain,
% 3.24/3.43 (r(z, s(s(s(s(s(z))))))),
% 3.24/3.43 inference(unit_resolution,[status(thm)],[113, 6616])).
% 3.24/3.43 tff(6618,plain,
% 3.24/3.43 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[1293, 6617, 1020, 6476])).
% 3.24/3.44 tff(6619,plain,
% 3.24/3.44 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[689, 6618])).
% 3.24/3.44 tff(6620,plain,
% 3.24/3.44 (~b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[4419, 6595, 297, 6587])).
% 3.24/3.44 tff(6621,plain,
% 3.24/3.44 (r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[163, 6620])).
% 3.24/3.44 tff(6622,plain,
% 3.24/3.44 (~r(s(z), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[5620, 6621, 6476, 6617])).
% 3.24/3.44 tff(6623,plain,
% 3.24/3.44 (b(s(z), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[408, 6622])).
% 3.24/3.44 tff(6624,plain,
% 3.24/3.44 ($false),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[1050, 6623, 6619, 178, 6587, 316, 297])).
% 3.24/3.44 tff(6625,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.44 tff(6626,plain,
% 3.24/3.44 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6625, 297, 316, 317, 6310, 6158, 6316])).
% 3.24/3.44 tff(6627,plain,
% 3.24/3.44 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[246, 6626])).
% 3.24/3.44 tff(6628,plain,
% 3.24/3.44 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6019, 6316, 297, 316, 6310, 317])).
% 3.24/3.44 tff(6629,plain,
% 3.24/3.44 (r(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[1093, 6628])).
% 3.24/3.44 tff(6630,plain,
% 3.24/3.44 (~b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[4183, 91, 6158, 317, 316, 6627, 297])).
% 3.24/3.44 tff(6631,plain,
% 3.24/3.44 (r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[394, 6630])).
% 3.24/3.44 tff(6632,plain,
% 3.24/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6362, 76, 297, 565])).
% 3.24/3.44 tff(6633,plain,
% 3.24/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[336, 6632])).
% 3.24/3.44 tff(6634,plain,
% 3.24/3.44 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6067, 6633, 1020, 544, 215])).
% 3.24/3.44 tff(6635,plain,
% 3.24/3.44 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[542, 6634])).
% 3.24/3.44 tff(6636,plain,
% 3.24/3.44 (~b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[4323, 6635, 297, 298])).
% 3.24/3.44 tff(6637,plain,
% 3.24/3.44 (r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[163, 6636])).
% 3.24/3.44 tff(6638,plain,
% 3.24/3.44 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[698, 6637, 544, 410])).
% 3.24/3.44 tff(6639,plain,
% 3.24/3.44 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[689, 6638])).
% 3.24/3.44 tff(6640,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6641,plain,
% 3.24/3.44 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6642,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.24/3.44 inference(monotonicity,[status(thm)],[6641])).
% 3.24/3.44 tff(6643,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.44 inference(transitivity,[status(thm)],[6642, 6640])).
% 3.24/3.44 tff(6644,plain,
% 3.24/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))),
% 3.24/3.44 inference(quant_inst,[status(thm)],[])).
% 3.24/3.44 tff(6645,plain,
% 3.24/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.24/3.44 inference(modus_ponens,[status(thm)],[6644, 6643])).
% 3.24/3.44 tff(6646,plain,
% 3.24/3.44 ($false),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6645, 91, 76, 565, 6639, 6635, 298, 297])).
% 3.24/3.44 tff(6647,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.44 tff(6648,plain,
% 3.24/3.44 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6647, 6158, 6627, 297, 6316, 6631, 6310, 6629])).
% 3.24/3.44 tff(6649,plain,
% 3.24/3.44 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[4405, 6648, 297, 6629, 169])).
% 3.24/3.44 tff(6650,plain,
% 3.24/3.44 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[336, 6649])).
% 3.24/3.44 tff(6651,plain,
% 3.24/3.44 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6395, 6650, 6158, 297])).
% 3.24/3.44 tff(6652,plain,
% 3.24/3.44 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[542, 6651])).
% 3.24/3.44 tff(6653,plain,
% 3.24/3.44 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[69, 6648])).
% 3.24/3.44 tff(6654,plain,
% 3.24/3.44 (~b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[4183, 91, 565, 178, 316, 298, 297])).
% 3.24/3.44 tff(6655,plain,
% 3.24/3.44 (r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[394, 6654])).
% 3.24/3.44 tff(6656,plain,
% 3.24/3.44 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6395, 318, 565, 297])).
% 3.24/3.44 tff(6657,plain,
% 3.24/3.44 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[542, 6656])).
% 3.24/3.44 tff(6658,plain,
% 3.24/3.44 (~r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[4882, 203, 410, 545])).
% 3.24/3.44 tff(6659,plain,
% 3.24/3.44 (b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[163, 6658])).
% 3.24/3.44 tff(6660,plain,
% 3.24/3.44 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[4243, 203, 544, 545, 204])).
% 3.24/3.44 tff(6661,plain,
% 3.24/3.44 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[369, 6660])).
% 3.24/3.44 tff(6662,plain,
% 3.24/3.44 ($false),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6278, 91, 565, 176, 669, 349])).
% 3.24/3.44 tff(6663,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.44 tff(6664,plain,
% 3.24/3.44 ($false),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6663, 6661, 6659, 565, 669])).
% 3.24/3.44 tff(6665,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.44 tff(6666,plain,
% 3.24/3.44 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6665, 669, 565, 544, 6657, 204, 6655])).
% 3.24/3.44 tff(6667,plain,
% 3.24/3.44 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[1313, 6666])).
% 3.24/3.44 tff(6668,plain,
% 3.24/3.44 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[5050, 6667, 298, 318])).
% 3.24/3.44 tff(6669,plain,
% 3.24/3.44 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[369, 6668])).
% 3.24/3.44 tff(6670,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6671,plain,
% 3.24/3.44 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6672,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 3.24/3.44 inference(monotonicity,[status(thm)],[6671])).
% 3.24/3.44 tff(6673,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.44 inference(transitivity,[status(thm)],[6672, 6670])).
% 3.24/3.44 tff(6674,plain,
% 3.24/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.24/3.44 inference(quant_inst,[status(thm)],[])).
% 3.24/3.44 tff(6675,plain,
% 3.24/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 3.24/3.44 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 3.24/3.44 tff(6676,plain,
% 3.24/3.44 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6675, 91, 178, 318, 316, 298])).
% 3.24/3.44 tff(6677,plain,
% 3.24/3.44 (~b(s(s(s(s(s(z))))), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6676, 6667])).
% 3.24/3.44 tff(6678,plain,
% 3.24/3.44 (r(s(s(s(s(s(z))))), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[427, 6677])).
% 3.24/3.44 tff(6679,plain,
% 3.24/3.44 (~b(s(z), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[1050, 6667, 178, 669, 316, 297])).
% 3.24/3.44 tff(6680,plain,
% 3.24/3.44 (r(s(z), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[408, 6679])).
% 3.24/3.44 tff(6681,plain,
% 3.24/3.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6682,plain,
% 3.24/3.44 (((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6683,plain,
% 3.24/3.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.44 inference(monotonicity,[status(thm)],[6682])).
% 3.24/3.44 tff(6684,plain,
% 3.24/3.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.44 inference(transitivity,[status(thm)],[6683, 6681])).
% 3.24/3.44 tff(6685,plain,
% 3.24/3.44 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.44 inference(quant_inst,[status(thm)],[])).
% 3.24/3.44 tff(6686,plain,
% 3.24/3.44 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.44 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 3.24/3.44 tff(6687,plain,
% 3.24/3.44 ($false),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6686, 125, 6655, 544, 6680, 6678, 6669])).
% 3.24/3.44 tff(6688,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(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)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.44 tff(6689,plain,
% 3.24/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6688, 6316, 317, 6650, 316, 6627, 297, 6158, 6653])).
% 3.24/3.44 tff(6690,plain,
% 3.24/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[689, 6689])).
% 3.24/3.44 tff(6691,plain,
% 3.24/3.44 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[3299, 6690, 6631, 6653, 6652])).
% 3.24/3.44 tff(6692,plain,
% 3.24/3.44 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[1313, 6691])).
% 3.24/3.44 tff(6693,plain,
% 3.24/3.44 (~r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[698, 6690, 6316, 6631])).
% 3.24/3.44 tff(6694,plain,
% 3.24/3.44 (b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[163, 6693])).
% 3.24/3.44 tff(6695,plain,
% 3.24/3.44 ($false),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[501, 6694, 6692, 297, 6627])).
% 3.24/3.44 tff(6696,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.44 tff(6697,plain,
% 3.24/3.44 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6696, 169, 316])).
% 3.24/3.44 tff(6698,plain,
% 3.24/3.44 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[295, 6697])).
% 3.24/3.44 tff(6699,plain,
% 3.24/3.44 (~b(s(s(s(s(z)))), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[345, 76, 178, 316])).
% 3.24/3.44 tff(6700,plain,
% 3.24/3.44 (r(s(s(s(s(z)))), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[314, 6699])).
% 3.24/3.44 tff(6701,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6702,plain,
% 3.24/3.44 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6703,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.24/3.44 inference(monotonicity,[status(thm)],[6702])).
% 3.24/3.44 tff(6704,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.24/3.44 inference(transitivity,[status(thm)],[6703, 6701])).
% 3.24/3.44 tff(6705,plain,
% 3.24/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.24/3.44 inference(quant_inst,[status(thm)],[])).
% 3.24/3.44 tff(6706,plain,
% 3.24/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.24/3.44 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 3.24/3.44 tff(6707,plain,
% 3.24/3.44 ($false),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6706, 91, 76, 178, 1073, 177, 72, 316])).
% 3.24/3.44 tff(6708,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.44 tff(6709,plain,
% 3.24/3.44 (~b(s(z), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[6708, 1073, 178, 76, 177, 316])).
% 3.24/3.44 tff(6710,plain,
% 3.24/3.44 (r(s(z), z)),
% 3.24/3.44 inference(unit_resolution,[status(thm)],[408, 6709])).
% 3.24/3.44 tff(6711,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6712,plain,
% 3.24/3.44 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), 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(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), 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(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.44 inference(rewrite,[status(thm)],[])).
% 3.24/3.44 tff(6713,plain,
% 3.24/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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(z, s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 3.24/3.45 inference(monotonicity,[status(thm)],[6712])).
% 3.24/3.45 tff(6714,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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(z, s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.45 inference(transitivity,[status(thm)],[6713, 6711])).
% 3.24/3.45 tff(6715,plain,
% 3.24/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), 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(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.45 inference(quant_inst,[status(thm)],[])).
% 3.24/3.45 tff(6716,plain,
% 3.24/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 3.24/3.45 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 3.24/3.45 tff(6717,plain,
% 3.24/3.45 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6716, 91, 76, 178, 1073, 177])).
% 3.24/3.45 tff(6718,plain,
% 3.24/3.45 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[336, 6717])).
% 3.24/3.45 tff(6719,plain,
% 3.24/3.45 (~b(s(s(s(s(s(z))))), z)),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6212, 298, 316, 1073])).
% 3.24/3.45 tff(6720,plain,
% 3.24/3.45 (r(s(s(s(s(s(z))))), z)),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[427, 6719])).
% 3.24/3.45 tff(6721,plain,
% 3.24/3.45 (~r(z, s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[1293, 6720, 6700, 115])).
% 3.24/3.45 tff(6722,plain,
% 3.24/3.45 (b(z, s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[113, 6721])).
% 3.24/3.45 tff(6723,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.24/3.45 inference(rewrite,[status(thm)],[])).
% 3.24/3.45 tff(6724,plain,
% 3.24/3.45 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.24/3.45 inference(rewrite,[status(thm)],[])).
% 3.24/3.45 tff(6725,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.24/3.45 inference(monotonicity,[status(thm)],[6724])).
% 3.24/3.45 tff(6726,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.24/3.45 inference(transitivity,[status(thm)],[6725, 6723])).
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% 3.24/3.45 inference(quant_inst,[status(thm)],[])).
% 3.24/3.45 tff(6728,plain,
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% 3.24/3.45 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 3.24/3.45 tff(6729,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6728, 91, 77, 76, 81, 1073, 177, 298])).
% 3.24/3.45 tff(6730,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6731,plain,
% 3.24/3.45 (~b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6730, 6722, 177, 76, 298, 1073])).
% 3.24/3.45 tff(6732,plain,
% 3.24/3.45 (r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[394, 6731])).
% 3.24/3.45 tff(6733,plain,
% 3.24/3.45 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[4797, 6732, 135, 6700, 6720])).
% 3.24/3.45 tff(6734,plain,
% 3.24/3.45 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[369, 6733])).
% 3.24/3.45 tff(6735,plain,
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% 3.24/3.45 inference(rewrite,[status(thm)],[])).
% 3.24/3.45 tff(6736,plain,
% 3.24/3.45 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.45 inference(rewrite,[status(thm)],[])).
% 3.24/3.45 tff(6737,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.45 inference(monotonicity,[status(thm)],[6736])).
% 3.24/3.45 tff(6738,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.45 inference(transitivity,[status(thm)],[6737, 6735])).
% 3.24/3.45 tff(6739,plain,
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% 3.24/3.45 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 3.24/3.45 tff(6741,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6740, 91, 6722, 178, 1073, 316, 6734, 298])).
% 3.24/3.45 tff(6742,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6743,plain,
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% 3.24/3.45 tff(6744,plain,
% 3.24/3.45 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 3.24/3.45 tff(6746,plain,
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% 3.24/3.45 tff(6747,plain,
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% 3.24/3.45 tff(6748,plain,
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% 3.24/3.45 tff(6749,plain,
% 3.24/3.45 (~b(s(s(s(s(s(z))))), z)),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[419, 6748, 316, 6746])).
% 3.24/3.45 tff(6750,plain,
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% 3.24/3.45 tff(6752,plain,
% 3.24/3.45 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.45 inference(rewrite,[status(thm)],[])).
% 3.24/3.45 tff(6753,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))))),
% 3.24/3.45 inference(monotonicity,[status(thm)],[6752])).
% 3.24/3.45 tff(6754,plain,
% 3.24/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.24/3.45 inference(transitivity,[status(thm)],[6753, 6751])).
% 3.24/3.45 tff(6755,plain,
% 3.24/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.24/3.45 inference(quant_inst,[status(thm)],[])).
% 3.24/3.45 tff(6756,plain,
% 3.24/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))),
% 3.24/3.45 inference(modus_ponens,[status(thm)],[6755, 6754])).
% 3.24/3.45 tff(6757,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6756, 91, 76, 176, 178, 348, 1073, 177])).
% 3.24/3.45 tff(6758,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6759,plain,
% 3.24/3.45 (~b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6758, 6746, 178, 76, 1073, 177])).
% 3.24/3.45 tff(6760,plain,
% 3.24/3.45 (r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[163, 6759])).
% 3.24/3.45 tff(6761,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[5058, 6760, 6750, 135, 6710, 115])).
% 3.24/3.45 tff(6762,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6763,plain,
% 3.24/3.45 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6762, 1073, 178, 76, 135, 177, 316])).
% 3.24/3.45 tff(6764,plain,
% 3.24/3.45 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[689, 6763])).
% 3.24/3.45 tff(6765,plain,
% 3.24/3.45 (~b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[4355, 669, 177, 77])).
% 3.24/3.45 tff(6766,plain,
% 3.24/3.45 (r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[163, 6765])).
% 3.24/3.45 tff(6767,plain,
% 3.24/3.45 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6077, 6766, 135, 1020, 411])).
% 3.24/3.45 tff(6768,plain,
% 3.24/3.45 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[369, 6767])).
% 3.24/3.45 tff(6769,plain,
% 3.24/3.45 (~r(z, s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[1124, 6766, 135, 1020, 411])).
% 3.24/3.45 tff(6770,plain,
% 3.24/3.45 (b(z, s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[113, 6769])).
% 3.24/3.45 tff(6771,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[677, 6770, 6768, 178, 669])).
% 3.24/3.45 tff(6772,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6773,plain,
% 3.24/3.45 (~b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6772, 6764, 135, 6700, 6710, 177, 178])).
% 3.24/3.45 tff(6774,plain,
% 3.24/3.45 (r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[394, 6773])).
% 3.24/3.45 tff(6775,plain,
% 3.24/3.45 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6126, 298, 76, 669])).
% 3.24/3.45 tff(6776,plain,
% 3.24/3.45 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[369, 6775])).
% 3.24/3.45 tff(6777,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[4797, 6776, 6720, 135, 1020, 410])).
% 3.24/3.45 tff(6778,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), 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(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6779,plain,
% 3.24/3.45 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6778, 6774, 6700, 135, 76, 6764, 316, 1073])).
% 3.24/3.45 tff(6780,plain,
% 3.24/3.45 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[246, 6779])).
% 3.24/3.45 tff(6781,plain,
% 3.24/3.45 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.24/3.45 inference(rewrite,[status(thm)],[])).
% 3.24/3.45 tff(6782,plain,
% 3.24/3.45 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.24/3.45 inference(rewrite,[status(thm)],[])).
% 3.24/3.45 tff(6783,plain,
% 3.24/3.45 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.24/3.45 inference(monotonicity,[status(thm)],[6782])).
% 3.24/3.45 tff(6784,plain,
% 3.24/3.45 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.24/3.45 inference(transitivity,[status(thm)],[6783, 6781])).
% 3.24/3.45 tff(6785,plain,
% 3.24/3.45 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.24/3.45 inference(quant_inst,[status(thm)],[])).
% 3.24/3.45 tff(6786,plain,
% 3.24/3.45 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.24/3.45 inference(modus_ponens,[status(thm)],[6785, 6784])).
% 3.24/3.45 tff(6787,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6786, 125, 410, 216, 545, 269])).
% 3.24/3.45 tff(6788,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6789,plain,
% 3.24/3.45 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6788, 6780, 269, 6774])).
% 3.24/3.45 tff(6790,plain,
% 3.24/3.45 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[542, 6789])).
% 3.24/3.45 tff(6791,plain,
% 3.24/3.45 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[4797, 71, 135, 1020, 410])).
% 3.24/3.45 tff(6792,plain,
% 3.24/3.45 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[369, 6791])).
% 3.24/3.45 tff(6793,plain,
% 3.24/3.45 (~b(z, s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[677, 6792, 178, 669])).
% 3.24/3.45 tff(6794,plain,
% 3.24/3.45 (r(z, s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[113, 6793])).
% 3.24/3.45 tff(6795,plain,
% 3.24/3.45 (~r(z, s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[447, 71, 411, 410])).
% 3.24/3.45 tff(6796,plain,
% 3.24/3.45 (b(z, s(z))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[267, 6795])).
% 3.24/3.45 tff(6797,plain,
% 3.24/3.45 (~b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[664, 6796, 316, 178, 526, 6792])).
% 3.24/3.45 tff(6798,plain,
% 3.24/3.45 (r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[163, 6797])).
% 3.24/3.45 tff(6799,plain,
% 3.24/3.45 ($false),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[1124, 6798, 6794, 135, 1020, 411])).
% 3.24/3.45 tff(6800,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.45 tff(6801,plain,
% 3.24/3.45 (~r(s(s(s(s(s(z))))), z)),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6800, 6710, 6700, 135, 316, 178, 6790, 6764, 6774])).
% 3.24/3.45 tff(6802,plain,
% 3.24/3.45 (b(s(s(s(s(s(z))))), z)),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[427, 6801])).
% 3.24/3.45 tff(6803,plain,
% 3.24/3.45 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[6105, 6802, 178, 6764])).
% 3.24/3.45 tff(6804,plain,
% 3.24/3.45 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.45 inference(unit_resolution,[status(thm)],[369, 6803])).
% 3.24/3.45 tff(6805,plain,
% 3.24/3.45 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6806,plain,
% 3.24/3.46 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6807,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.46 inference(monotonicity,[status(thm)],[6806])).
% 3.24/3.46 tff(6808,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.46 inference(transitivity,[status(thm)],[6807, 6805])).
% 3.24/3.46 tff(6809,plain,
% 3.24/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.24/3.46 inference(quant_inst,[status(thm)],[])).
% 3.24/3.46 tff(6810,plain,
% 3.24/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.46 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 3.24/3.46 tff(6811,plain,
% 3.24/3.46 ($false),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6810, 125, 6774, 135, 6718, 6780, 6804])).
% 3.24/3.46 tff(6812,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(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(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.46 tff(6813,plain,
% 3.24/3.46 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6812, 76, 178, 316, 269, 135, 177])).
% 3.24/3.46 tff(6814,plain,
% 3.24/3.46 (r(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[1093, 6813])).
% 3.24/3.46 tff(6815,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6816,plain,
% 3.24/3.46 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6817,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 3.24/3.46 inference(monotonicity,[status(thm)],[6816])).
% 3.24/3.46 tff(6818,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.46 inference(transitivity,[status(thm)],[6817, 6815])).
% 3.24/3.46 tff(6819,plain,
% 3.24/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.46 inference(quant_inst,[status(thm)],[])).
% 3.24/3.46 tff(6820,plain,
% 3.24/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 3.24/3.46 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 3.24/3.46 tff(6821,plain,
% 3.24/3.46 (~r(s(z), z)),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6820, 125, 6814, 135, 6700, 269])).
% 3.24/3.46 tff(6822,plain,
% 3.24/3.46 (b(s(z), z)),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[408, 6821])).
% 3.24/3.46 tff(6823,plain,
% 3.24/3.46 (~b(z, s(z))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[1182, 6822, 178, 177])).
% 3.24/3.46 tff(6824,plain,
% 3.24/3.46 (r(z, s(z))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[267, 6823])).
% 3.24/3.46 tff(6825,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6826,plain,
% 3.24/3.46 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6827,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 3.24/3.46 inference(monotonicity,[status(thm)],[6826])).
% 3.24/3.46 tff(6828,plain,
% 3.24/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.24/3.46 inference(transitivity,[status(thm)],[6827, 6825])).
% 3.24/3.46 tff(6829,plain,
% 3.24/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 3.24/3.46 inference(quant_inst,[status(thm)],[])).
% 3.24/3.46 tff(6830,plain,
% 3.24/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 3.24/3.46 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 3.24/3.46 tff(6831,plain,
% 3.24/3.46 ($false),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6830, 125, 215, 270, 545, 269])).
% 3.24/3.46 tff(6832,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.46 tff(6833,plain,
% 3.24/3.46 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6832, 6814, 6824, 269])).
% 3.24/3.46 tff(6834,plain,
% 3.24/3.46 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[542, 6833])).
% 3.24/3.46 tff(6835,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6836,plain,
% 3.24/3.46 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), 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(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6837,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.24/3.46 inference(monotonicity,[status(thm)],[6836])).
% 3.24/3.46 tff(6838,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(transitivity,[status(thm)],[6837, 6835])).
% 3.24/3.46 tff(6839,plain,
% 3.24/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.24/3.46 inference(quant_inst,[status(thm)],[])).
% 3.24/3.46 tff(6840,plain,
% 3.24/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.24/3.46 inference(modus_ponens,[status(thm)],[6839, 6838])).
% 3.24/3.46 tff(6841,plain,
% 3.24/3.46 ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6840, 91, 76, 178, 177, 6822])).
% 3.24/3.46 tff(6842,plain,
% 3.24/3.46 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6841, 6834])).
% 3.24/3.46 tff(6843,plain,
% 3.24/3.46 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[336, 6842])).
% 3.24/3.46 tff(6844,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6845,plain,
% 3.24/3.46 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6846,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.24/3.46 inference(monotonicity,[status(thm)],[6845])).
% 3.24/3.46 tff(6847,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(transitivity,[status(thm)],[6846, 6844])).
% 3.24/3.46 tff(6848,plain,
% 3.24/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.24/3.46 inference(quant_inst,[status(thm)],[])).
% 3.24/3.46 tff(6849,plain,
% 3.24/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.24/3.46 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 3.24/3.46 tff(6850,plain,
% 3.24/3.46 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[6849, 91, 77, 76, 178, 6822, 6834])).
% 3.24/3.46 tff(6851,plain,
% 3.24/3.46 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[246, 6850])).
% 3.24/3.46 tff(6852,plain,
% 3.24/3.46 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[1040, 71, 215, 347, 1020])).
% 3.24/3.46 tff(6853,plain,
% 3.24/3.46 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.46 inference(unit_resolution,[status(thm)],[689, 6852])).
% 3.24/3.46 tff(6854,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6855,plain,
% 3.24/3.46 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.46 inference(rewrite,[status(thm)],[])).
% 3.24/3.46 tff(6856,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.24/3.46 inference(monotonicity,[status(thm)],[6855])).
% 3.24/3.46 tff(6857,plain,
% 3.24/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.47 inference(transitivity,[status(thm)],[6856, 6854])).
% 3.24/3.47 tff(6858,plain,
% 3.24/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.24/3.47 inference(quant_inst,[status(thm)],[])).
% 3.24/3.47 tff(6859,plain,
% 3.24/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.24/3.47 inference(modus_ponens,[status(thm)],[6858, 6857])).
% 3.24/3.47 tff(6860,plain,
% 3.24/3.47 ($false),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6859, 91, 76, 81, 669, 177, 72, 526])).
% 3.24/3.47 tff(6861,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.47 tff(6862,plain,
% 3.24/3.47 (~b(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6861, 6853, 177, 72, 76, 526])).
% 3.24/3.47 tff(6863,plain,
% 3.24/3.47 (r(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[113, 6862])).
% 3.24/3.47 tff(6864,plain,
% 3.24/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6865,plain,
% 3.24/3.47 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6866,plain,
% 3.24/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.47 inference(monotonicity,[status(thm)],[6865])).
% 3.24/3.47 tff(6867,plain,
% 3.24/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.47 inference(transitivity,[status(thm)],[6866, 6864])).
% 3.24/3.47 tff(6868,plain,
% 3.24/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))),
% 3.24/3.47 inference(quant_inst,[status(thm)],[])).
% 3.24/3.47 tff(6869,plain,
% 3.24/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.47 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 3.24/3.47 tff(6870,plain,
% 3.24/3.47 ($false),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6869, 91, 76, 348, 669, 349])).
% 3.24/3.47 tff(6871,plain,((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.47 tff(6872,plain,
% 3.24/3.47 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6871, 6478, 76, 6853])).
% 3.24/3.47 tff(6873,plain,
% 3.24/3.47 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1313, 6872])).
% 3.24/3.47 tff(6874,plain,
% 3.24/3.47 ($false),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[224, 6873, 6863, 215, 216])).
% 3.24/3.47 tff(6875,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(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(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.47 tff(6876,plain,
% 3.24/3.47 (~r(s(s(s(s(s(z))))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6875, 6851, 6814, 76, 177, 6822, 6834, 6700, 6843])).
% 3.24/3.47 tff(6877,plain,
% 3.24/3.47 (b(s(s(s(s(s(z))))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[427, 6876])).
% 3.24/3.47 tff(6878,plain,
% 3.24/3.47 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1158, 6877, 316, 178, 177, 77])).
% 3.24/3.47 tff(6879,plain,
% 3.24/3.47 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1313, 6878])).
% 3.24/3.47 tff(6880,plain,
% 3.24/3.47 ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[184, 91, 77, 178, 177, 6822])).
% 3.24/3.47 tff(6881,plain,
% 3.24/3.47 (~b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6880, 6877])).
% 3.24/3.47 tff(6882,plain,
% 3.24/3.47 (r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[163, 6881])).
% 3.24/3.47 tff(6883,plain,
% 3.24/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6884,plain,
% 3.24/3.47 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6885,plain,
% 3.24/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))))),
% 3.24/3.47 inference(monotonicity,[status(thm)],[6884])).
% 3.24/3.47 tff(6886,plain,
% 3.24/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.47 inference(transitivity,[status(thm)],[6885, 6883])).
% 3.24/3.47 tff(6887,plain,
% 3.24/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.47 inference(quant_inst,[status(thm)],[])).
% 3.24/3.47 tff(6888,plain,
% 3.24/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))),
% 3.24/3.47 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 3.24/3.47 tff(6889,plain,
% 3.24/3.47 ($false),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6888, 125, 203, 135, 347, 136, 269])).
% 3.24/3.47 tff(6890,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.47 tff(6891,plain,
% 3.24/3.47 ($false),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6890, 6882, 6879, 269, 135, 6843])).
% 3.24/3.47 tff(6892,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.47 tff(6893,plain,
% 3.24/3.47 (~b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6892, 76, 135, 178, 177, 316, 269])).
% 3.24/3.47 tff(6894,plain,
% 3.24/3.47 (r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[394, 6893])).
% 3.24/3.47 tff(6895,plain,
% 3.24/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6896,plain,
% 3.24/3.47 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6897,plain,
% 3.24/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))))),
% 3.24/3.47 inference(monotonicity,[status(thm)],[6896])).
% 3.24/3.47 tff(6898,plain,
% 3.24/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 3.24/3.47 inference(transitivity,[status(thm)],[6897, 6895])).
% 3.24/3.47 tff(6899,plain,
% 3.24/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.24/3.47 inference(quant_inst,[status(thm)],[])).
% 3.24/3.47 tff(6900,plain,
% 3.24/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))),
% 3.24/3.47 inference(modus_ponens,[status(thm)],[6899, 6898])).
% 3.24/3.47 tff(6901,plain,
% 3.24/3.47 (~r(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6900, 125, 6894, 6814, 6824, 269])).
% 3.24/3.47 tff(6902,plain,
% 3.24/3.47 (b(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[113, 6901])).
% 3.24/3.47 tff(6903,plain,
% 3.24/3.47 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6861, 6902, 177, 6822, 76, 6834])).
% 3.24/3.47 tff(6904,plain,
% 3.24/3.47 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[689, 6903])).
% 3.24/3.47 tff(6905,plain,
% 3.24/3.47 (~r(s(s(s(s(s(z))))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1040, 6904, 6814, 6843, 6700])).
% 3.24/3.47 tff(6906,plain,
% 3.24/3.47 (b(s(s(s(s(s(z))))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[427, 6905])).
% 3.24/3.47 tff(6907,plain,
% 3.24/3.47 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[3984, 6904, 6814, 6843, 6700])).
% 3.24/3.47 tff(6908,plain,
% 3.24/3.47 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1313, 6907])).
% 3.24/3.47 tff(6909,plain,
% 3.24/3.47 ($false),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[419, 6908, 6906, 316, 6902])).
% 3.24/3.47 tff(6910,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.47 tff(6911,plain,
% 3.24/3.47 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6910, 135, 177, 6698, 316, 317])).
% 3.24/3.47 tff(6912,plain,
% 3.24/3.47 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[69, 6911])).
% 3.24/3.47 tff(6913,plain,
% 3.24/3.47 ($false),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[5447, 125, 204, 135, 347, 269])).
% 3.24/3.47 tff(6914,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.47 tff(6915,plain,
% 3.24/3.47 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6914, 6912, 135, 6698])).
% 3.24/3.47 tff(6916,plain,
% 3.24/3.47 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[336, 6915])).
% 3.24/3.47 tff(6917,plain,
% 3.24/3.47 (~b(s(s(s(s(z)))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[326, 6916, 316, 317])).
% 3.24/3.47 tff(6918,plain,
% 3.24/3.47 (r(s(s(s(s(z)))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[314, 6917])).
% 3.24/3.47 tff(6919,plain,
% 3.24/3.47 (~b(z, s(z))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1182, 72, 317, 177])).
% 3.24/3.47 tff(6920,plain,
% 3.24/3.47 (r(z, s(z))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[267, 6919])).
% 3.24/3.47 tff(6921,plain,
% 3.24/3.47 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6910, 135, 177, 269, 316, 178])).
% 3.24/3.47 tff(6922,plain,
% 3.24/3.47 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[69, 6921])).
% 3.24/3.47 tff(6923,plain,
% 3.24/3.47 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[6914, 6922, 135, 269])).
% 3.24/3.47 tff(6924,plain,
% 3.24/3.47 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[336, 6923])).
% 3.24/3.47 tff(6925,plain,
% 3.24/3.47 (~b(s(s(s(s(z)))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[326, 6924, 316, 178])).
% 3.24/3.47 tff(6926,plain,
% 3.24/3.47 (r(s(s(s(s(z)))), z)),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[314, 6925])).
% 3.24/3.47 tff(6927,plain,
% 3.24/3.47 (~r(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1293, 115, 6926, 71])).
% 3.24/3.47 tff(6928,plain,
% 3.24/3.47 (b(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[113, 6927])).
% 3.24/3.47 tff(6929,plain,
% 3.24/3.47 (~r(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[1293, 115, 1020, 71])).
% 3.24/3.47 tff(6930,plain,
% 3.24/3.47 (b(z, s(s(s(s(s(z))))))),
% 3.24/3.47 inference(unit_resolution,[status(thm)],[113, 6929])).
% 3.24/3.47 tff(6931,plain,
% 3.24/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6932,plain,
% 3.24/3.47 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.47 inference(rewrite,[status(thm)],[])).
% 3.24/3.47 tff(6933,plain,
% 3.24/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.24/3.47 inference(monotonicity,[status(thm)],[6932])).
% 3.24/3.47 tff(6934,plain,
% 3.24/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.24/3.47 inference(transitivity,[status(thm)],[6933, 6931])).
% 3.24/3.47 tff(6935,plain,
% 3.24/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.24/3.47 inference(quant_inst,[status(thm)],[])).
% 3.24/3.47 tff(6936,plain,
% 3.24/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.24/3.48 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 3.24/3.48 tff(6937,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6936, 91, 1073, 72, 316, 526])).
% 3.24/3.48 tff(6938,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(6939,plain,
% 3.24/3.48 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6938, 1073, 316, 72])).
% 3.24/3.48 tff(6940,plain,
% 3.24/3.48 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[542, 6939])).
% 3.24/3.48 tff(6941,plain,
% 3.24/3.48 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[2969, 6940, 135, 204, 115])).
% 3.24/3.48 tff(6942,plain,
% 3.24/3.48 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1313, 6941])).
% 3.24/3.48 tff(6943,plain,
% 3.24/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(6944,plain,
% 3.24/3.48 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(6945,plain,
% 3.24/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.48 inference(monotonicity,[status(thm)],[6944])).
% 3.24/3.48 tff(6946,plain,
% 3.24/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.48 inference(transitivity,[status(thm)],[6945, 6943])).
% 3.24/3.48 tff(6947,plain,
% 3.24/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 3.24/3.48 inference(quant_inst,[status(thm)],[])).
% 3.24/3.48 tff(6948,plain,
% 3.24/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.48 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 3.24/3.48 tff(6949,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6948, 91, 81, 348, 1073, 318, 316, 349])).
% 3.24/3.48 tff(6950,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(6951,plain,
% 3.24/3.48 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6950, 6942, 316, 318, 1073, 6930])).
% 3.24/3.48 tff(6952,plain,
% 3.24/3.48 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[369, 6951])).
% 3.24/3.48 tff(6953,plain,
% 3.24/3.48 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[5514, 6942, 6930, 77, 1073])).
% 3.24/3.48 tff(6954,plain,
% 3.24/3.48 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[246, 6953])).
% 3.24/3.48 tff(6955,plain,
% 3.24/3.48 ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[4731, 125, 204, 71, 1020])).
% 3.24/3.48 tff(6956,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6955, 6954, 6952])).
% 3.24/3.48 tff(6957,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(6958,plain,
% 3.24/3.48 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6957, 77, 71, 6926, 6922, 316, 6924, 135, 115, 72])).
% 3.24/3.48 tff(6959,plain,
% 3.24/3.48 (r(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1093, 6958])).
% 3.24/3.48 tff(6960,plain,
% 3.24/3.48 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6832, 6959, 4490, 269])).
% 3.24/3.48 tff(6961,plain,
% 3.24/3.48 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[542, 6960])).
% 3.24/3.48 tff(6962,plain,
% 3.24/3.48 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[2955, 526, 177, 318])).
% 3.24/3.48 tff(6963,plain,
% 3.24/3.48 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[295, 6962])).
% 3.24/3.48 tff(6964,plain,
% 3.24/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(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(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(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(z))) | (~b(s(z), z)))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(6965,plain,
% 3.24/3.48 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(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(z))) | (~b(s(z), z)))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(6966,plain,
% 3.24/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(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(z))) | (~b(s(z), z))))),
% 3.24/3.48 inference(monotonicity,[status(thm)],[6965])).
% 3.24/3.48 tff(6967,plain,
% 3.24/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(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(z))) | (~b(s(z), z)))),
% 3.24/3.48 inference(transitivity,[status(thm)],[6966, 6964])).
% 3.24/3.48 tff(6968,plain,
% 3.24/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.24/3.48 inference(quant_inst,[status(thm)],[])).
% 3.24/3.48 tff(6969,plain,
% 3.24/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.24/3.48 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 3.24/3.48 tff(6970,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6969, 91, 81, 348, 318, 177, 72, 526])).
% 3.24/3.48 tff(6971,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(6972,plain,
% 3.24/3.48 (~b(s(z), z)),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6971, 526, 348, 318, 177, 81])).
% 3.24/3.48 tff(6973,plain,
% 3.24/3.48 (r(s(z), z)),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[408, 6972])).
% 3.24/3.48 tff(6974,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[2666, 125, 204, 135, 6973, 1020, 6963])).
% 3.24/3.48 tff(6975,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(6976,plain,
% 3.24/3.48 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6975, 6961, 177, 6922, 6924, 135, 6926, 6928])).
% 3.24/3.48 tff(6977,plain,
% 3.24/3.48 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1313, 6976])).
% 3.24/3.48 tff(6978,plain,
% 3.24/3.48 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[212, 6977, 6922, 115])).
% 3.24/3.48 tff(6979,plain,
% 3.24/3.48 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[369, 6978])).
% 3.24/3.48 tff(6980,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[5997, 91, 77, 6928, 178, 6924, 6961, 6979])).
% 3.24/3.48 tff(6981,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(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(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(6982,plain,
% 3.24/3.48 (~b(s(s(s(s(s(z))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6981, 115, 178, 177, 135, 269, 71, 316, 72])).
% 3.24/3.48 tff(6983,plain,
% 3.24/3.48 (r(s(s(s(s(s(z))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[394, 6982])).
% 3.24/3.48 tff(6984,plain,
% 3.24/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(6985,plain,
% 3.24/3.48 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(6986,plain,
% 3.24/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.24/3.48 inference(monotonicity,[status(thm)],[6985])).
% 3.24/3.48 tff(6987,plain,
% 3.24/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.24/3.48 inference(transitivity,[status(thm)],[6986, 6984])).
% 3.24/3.48 tff(6988,plain,
% 3.24/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.24/3.48 inference(quant_inst,[status(thm)],[])).
% 3.24/3.48 tff(6989,plain,
% 3.24/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.24/3.48 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 3.24/3.48 tff(6990,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6989, 125, 410, 135, 71, 270, 73])).
% 3.24/3.48 tff(6991,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(6992,plain,
% 3.24/3.48 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6991, 6983, 135, 4490, 71])).
% 3.24/3.48 tff(6993,plain,
% 3.24/3.48 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[369, 6992])).
% 3.24/3.48 tff(6994,plain,
% 3.24/3.48 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6914, 204, 135, 269])).
% 3.24/3.48 tff(6995,plain,
% 3.24/3.48 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[336, 6994])).
% 3.24/3.48 tff(6996,plain,
% 3.24/3.48 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[2969, 545, 135, 204, 115])).
% 3.24/3.48 tff(6997,plain,
% 3.24/3.48 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1313, 6996])).
% 3.24/3.48 tff(6998,plain,
% 3.24/3.48 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6832, 545, 270, 269])).
% 3.24/3.48 tff(6999,plain,
% 3.24/3.48 (b(z, s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1093, 6998])).
% 3.24/3.48 tff(7000,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6950, 6999, 6997, 316, 6995, 349, 81])).
% 3.24/3.48 tff(7001,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(7002,plain,
% 3.24/3.48 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[7001, 6993, 316, 6928, 4490, 269, 135, 6922, 115])).
% 3.24/3.48 tff(7003,plain,
% 3.24/3.48 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[542, 7002])).
% 3.24/3.48 tff(7004,plain,
% 3.24/3.48 (~r(z, s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[5145, 3102, 1020, 115, 71])).
% 3.24/3.48 tff(7005,plain,
% 3.24/3.48 (b(z, s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[3400, 7004])).
% 3.24/3.48 tff(7006,plain,
% 3.24/3.48 ((~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[5074, 91, 924, 178, 177, 72])).
% 3.24/3.48 tff(7007,plain,
% 3.24/3.48 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[7006, 7005])).
% 3.24/3.48 tff(7008,plain,
% 3.24/3.48 (r(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[4476, 7007])).
% 3.24/3.48 tff(7009,plain,
% 3.24/3.48 (~r(s(z), s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[4555, 7008, 135, 3102])).
% 3.24/3.48 tff(7010,plain,
% 3.24/3.48 (b(s(z), s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1004, 7009])).
% 3.24/3.48 tff(7011,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[5084, 91, 7005, 924, 7010, 72])).
% 3.24/3.48 tff(7012,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(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(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(7013,plain,
% 3.24/3.48 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[7012, 924, 72, 135, 178, 177, 1020, 115, 71])).
% 3.24/3.48 tff(7014,plain,
% 3.24/3.48 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[4634, 924, 3382, 178])).
% 3.24/3.48 tff(7015,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[938, 7014, 7013])).
% 3.24/3.48 tff(7016,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(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(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.48 tff(7017,plain,
% 3.24/3.48 (~b(s(s(z)), z)),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[7016, 3382, 178, 72, 135, 177, 5137, 115, 71])).
% 3.24/3.48 tff(7018,plain,
% 3.24/3.48 (r(s(s(z)), z)),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[898, 7017])).
% 3.24/3.48 tff(7019,plain,
% 3.24/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z))))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(7020,plain,
% 3.24/3.48 (((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z))))),
% 3.24/3.48 inference(rewrite,[status(thm)],[])).
% 3.24/3.48 tff(7021,plain,
% 3.24/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z)))))),
% 3.24/3.48 inference(monotonicity,[status(thm)],[7020])).
% 3.24/3.48 tff(7022,plain,
% 3.24/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z))))),
% 3.24/3.48 inference(transitivity,[status(thm)],[7021, 7019])).
% 3.24/3.48 tff(7023,plain,
% 3.24/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.24/3.48 inference(quant_inst,[status(thm)],[])).
% 3.24/3.48 tff(7024,plain,
% 3.24/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z)))),
% 3.24/3.48 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 3.24/3.48 tff(7025,plain,
% 3.24/3.48 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[7024, 125, 410, 71, 7018, 4490])).
% 3.24/3.48 tff(7026,plain,
% 3.24/3.48 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[5101, 7025])).
% 3.24/3.48 tff(7027,plain,
% 3.24/3.48 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6991, 410, 135, 4490, 71])).
% 3.24/3.48 tff(7028,plain,
% 3.24/3.48 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[369, 7027])).
% 3.24/3.48 tff(7029,plain,
% 3.24/3.48 (~r(z, s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1293, 115, 5137, 71])).
% 3.24/3.48 tff(7030,plain,
% 3.24/3.48 (b(z, s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[113, 7029])).
% 3.24/3.48 tff(7031,plain,
% 3.24/3.48 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[6975, 526, 177, 204, 318, 135, 5137, 7030])).
% 3.24/3.48 tff(7032,plain,
% 3.24/3.48 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1313, 7031])).
% 3.24/3.48 tff(7033,plain,
% 3.24/3.48 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[3299, 410, 204, 203, 115])).
% 3.24/3.48 tff(7034,plain,
% 3.24/3.48 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[542, 7033])).
% 3.24/3.48 tff(7035,plain,
% 3.24/3.48 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1233, 565, 526, 177])).
% 3.24/3.48 tff(7036,plain,
% 3.24/3.48 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[336, 7035])).
% 3.24/3.48 tff(7037,plain,
% 3.24/3.48 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[378, 7036, 216, 204])).
% 3.24/3.48 tff(7038,plain,
% 3.24/3.48 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[369, 7037])).
% 3.24/3.48 tff(7039,plain,
% 3.24/3.48 (~r(s(s(s(s(s(z))))), z)),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[5459, 7036, 115, 1020, 203])).
% 3.24/3.48 tff(7040,plain,
% 3.24/3.48 (b(s(s(s(s(s(z))))), z)),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[427, 7039])).
% 3.24/3.48 tff(7041,plain,
% 3.24/3.48 ($false),
% 3.24/3.48 inference(unit_resolution,[status(thm)],[1196, 7040, 7038, 178, 177, 565])).
% 3.24/3.48 tff(7042,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.49 tff(7043,plain,
% 3.24/3.49 (~b(s(z), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7042, 7034, 177, 115, 1020, 203, 216, 204, 178])).
% 3.24/3.49 tff(7044,plain,
% 3.24/3.49 (r(s(z), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[563, 7043])).
% 3.24/3.49 tff(7045,plain,
% 3.24/3.49 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[4711, 7044, 204, 216, 177, 410])).
% 3.24/3.49 tff(7046,plain,
% 3.24/3.49 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[369, 7045])).
% 3.24/3.49 tff(7047,plain,
% 3.24/3.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[5469, 7046, 177, 178, 204, 7044, 115, 1020, 203])).
% 3.24/3.49 tff(7048,plain,
% 3.24/3.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[336, 7047])).
% 3.24/3.49 tff(7049,plain,
% 3.24/3.49 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[2955, 7048, 177, 7034])).
% 3.24/3.49 tff(7050,plain,
% 3.24/3.49 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[295, 7049])).
% 3.24/3.49 tff(7051,plain,
% 3.24/3.49 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[378, 347, 216, 204])).
% 3.24/3.49 tff(7052,plain,
% 3.24/3.49 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[369, 7051])).
% 3.24/3.49 tff(7053,plain,
% 3.24/3.49 (~b(s(z), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[1196, 5461, 178, 177, 7052])).
% 3.24/3.49 tff(7054,plain,
% 3.24/3.49 (r(s(z), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[563, 7053])).
% 3.24/3.49 tff(7055,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7056,plain,
% 3.24/3.49 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7057,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))))),
% 3.24/3.49 inference(monotonicity,[status(thm)],[7056])).
% 3.24/3.49 tff(7058,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.24/3.49 inference(transitivity,[status(thm)],[7057, 7055])).
% 3.24/3.49 tff(7059,plain,
% 3.24/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.24/3.49 inference(quant_inst,[status(thm)],[])).
% 3.24/3.49 tff(7060,plain,
% 3.24/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))),
% 3.24/3.49 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 3.24/3.49 tff(7061,plain,
% 3.24/3.49 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7060, 125, 204, 115, 136])).
% 3.24/3.49 tff(7062,plain,
% 3.24/3.49 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7061, 7054])).
% 3.24/3.49 tff(7063,plain,
% 3.24/3.49 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[295, 7062])).
% 3.24/3.49 tff(7064,plain,
% 3.24/3.49 ($false),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[5467, 91, 5461, 178, 5451, 177, 7052, 7063])).
% 3.24/3.49 tff(7065,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.49 tff(7066,plain,
% 3.24/3.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7065, 136, 177, 204, 115, 178, 1020, 203, 216])).
% 3.24/3.49 tff(7067,plain,
% 3.24/3.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[336, 7066])).
% 3.24/3.49 tff(7068,plain,
% 3.24/3.49 (~b(s(z), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[1233, 7067, 526, 177])).
% 3.24/3.49 tff(7069,plain,
% 3.24/3.49 (r(s(z), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[563, 7068])).
% 3.24/3.49 tff(7070,plain,
% 3.24/3.49 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[2955, 7067, 177, 526])).
% 3.24/3.49 tff(7071,plain,
% 3.24/3.49 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[295, 7070])).
% 3.24/3.49 tff(7072,plain,
% 3.24/3.49 ($false),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7061, 7071, 7069])).
% 3.24/3.49 tff(7073,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.49 tff(7074,plain,
% 3.24/3.49 (~r(s(z), s(s(s(s(s(z))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7073, 7034, 115, 177, 204, 178, 1020, 203, 216])).
% 3.24/3.49 tff(7075,plain,
% 3.24/3.49 (b(s(z), s(s(s(s(s(z))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[163, 7074])).
% 3.24/3.49 tff(7076,plain,
% 3.24/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(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(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7077,plain,
% 3.24/3.49 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7078,plain,
% 3.24/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.24/3.49 inference(monotonicity,[status(thm)],[7077])).
% 3.24/3.49 tff(7079,plain,
% 3.24/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.24/3.49 inference(transitivity,[status(thm)],[7078, 7076])).
% 3.24/3.49 tff(7080,plain,
% 3.24/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.24/3.49 inference(quant_inst,[status(thm)],[])).
% 3.24/3.49 tff(7081,plain,
% 3.24/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.24/3.49 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 3.24/3.49 tff(7082,plain,
% 3.24/3.49 (~b(s(s(s(s(s(z))))), z)),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7081, 91, 81, 7075, 178, 177, 7046])).
% 3.24/3.49 tff(7083,plain,
% 3.24/3.49 (r(s(s(s(s(s(z))))), z)),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[427, 7082])).
% 3.24/3.49 tff(7084,plain,
% 3.24/3.49 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[4283, 7083, 115, 203, 204])).
% 3.24/3.49 tff(7085,plain,
% 3.24/3.49 (b(s(s(s(s(s(s(z)))))), z)),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[763, 7084])).
% 3.24/3.49 tff(7086,plain,
% 3.24/3.49 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[664, 316, 176, 178, 429, 349])).
% 3.24/3.49 tff(7087,plain,
% 3.24/3.49 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[542, 7086])).
% 3.24/3.49 tff(7088,plain,
% 3.24/3.49 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[3299, 7087, 410, 203, 115])).
% 3.24/3.49 tff(7089,plain,
% 3.24/3.49 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[69, 7088])).
% 3.24/3.49 tff(7090,plain,
% 3.24/3.49 ($false),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[5873, 91, 7089, 178, 318, 316])).
% 3.24/3.49 tff(7091,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.49 tff(7092,plain,
% 3.24/3.49 (~b(z, s(z))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7091, 7085, 178, 203, 410, 115, 7075, 7048, 7046])).
% 3.24/3.49 tff(7093,plain,
% 3.24/3.49 (r(z, s(z))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[267, 7092])).
% 3.24/3.49 tff(7094,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7095,plain,
% 3.24/3.49 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7096,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))))),
% 3.24/3.49 inference(monotonicity,[status(thm)],[7095])).
% 3.24/3.49 tff(7097,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 3.24/3.49 inference(transitivity,[status(thm)],[7096, 7094])).
% 3.24/3.49 tff(7098,plain,
% 3.24/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.24/3.49 inference(quant_inst,[status(thm)],[])).
% 3.24/3.49 tff(7099,plain,
% 3.24/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))),
% 3.24/3.49 inference(modus_ponens,[status(thm)],[7098, 7097])).
% 3.24/3.49 tff(7100,plain,
% 3.24/3.49 ($false),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7099, 125, 410, 7083, 7093, 216, 7050])).
% 3.24/3.49 tff(7101,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.49 tff(7102,plain,
% 3.24/3.49 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7101, 7032, 178, 177, 204, 7030, 410, 115, 5137])).
% 3.24/3.49 tff(7103,plain,
% 3.24/3.49 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[246, 7102])).
% 3.24/3.49 tff(7104,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7105,plain,
% 3.24/3.49 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(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(s(s(s(z))))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7106,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 3.24/3.49 inference(monotonicity,[status(thm)],[7105])).
% 3.24/3.49 tff(7107,plain,
% 3.24/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.24/3.49 inference(transitivity,[status(thm)],[7106, 7104])).
% 3.24/3.49 tff(7108,plain,
% 3.24/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(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(s(s(s(z)))))))))),
% 3.24/3.49 inference(quant_inst,[status(thm)],[])).
% 3.24/3.49 tff(7109,plain,
% 3.24/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.24/3.49 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 3.24/3.49 tff(7110,plain,
% 3.24/3.49 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7109, 125, 204, 1020, 836])).
% 3.24/3.49 tff(7111,plain,
% 3.24/3.49 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7110, 4539])).
% 3.24/3.49 tff(7112,plain,
% 3.24/3.49 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[5705, 7111])).
% 3.24/3.49 tff(7113,plain,
% 3.24/3.49 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[5120, 125, 71, 836, 115])).
% 3.24/3.49 tff(7114,plain,
% 3.24/3.49 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[7113, 4539])).
% 3.24/3.49 tff(7115,plain,
% 3.24/3.49 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.24/3.49 inference(unit_resolution,[status(thm)],[5666, 7114])).
% 3.24/3.49 tff(7116,plain,
% 3.24/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.49 inference(rewrite,[status(thm)],[])).
% 3.24/3.49 tff(7117,plain,
% 3.24/3.49 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.50 inference(rewrite,[status(thm)],[])).
% 3.24/3.50 tff(7118,plain,
% 3.24/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.24/3.50 inference(monotonicity,[status(thm)],[7117])).
% 3.24/3.50 tff(7119,plain,
% 3.24/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.50 inference(transitivity,[status(thm)],[7118, 7116])).
% 3.24/3.50 tff(7120,plain,
% 3.24/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.24/3.50 inference(quant_inst,[status(thm)],[])).
% 3.24/3.50 tff(7121,plain,
% 3.24/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.24/3.50 inference(modus_ponens,[status(thm)],[7120, 7119])).
% 3.24/3.50 tff(7122,plain,
% 3.24/3.50 ($false),
% 3.24/3.50 inference(unit_resolution,[status(thm)],[7121, 91, 178, 7115, 7112, 316, 349, 298])).
% 3.24/3.50 tff(7123,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.24/3.50 tff(7124,plain,
% 3.24/3.50 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.50 inference(unit_resolution,[status(thm)],[7123, 7018, 316, 7028, 7103, 204, 5137, 178, 71, 115])).
% 3.24/3.50 tff(7125,plain,
% 3.24/3.50 (b(s(s(z)), s(s(s(s(z)))))),
% 3.24/3.50 inference(unit_resolution,[status(thm)],[4476, 7124])).
% 3.24/3.50 tff(7126,plain,
% 3.24/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7127,plain,
% 3.34/3.50 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7128,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.34/3.50 inference(monotonicity,[status(thm)],[7127])).
% 3.34/3.50 tff(7129,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.50 inference(transitivity,[status(thm)],[7128, 7126])).
% 3.34/3.50 tff(7130,plain,
% 3.34/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z)))))))))),
% 3.34/3.50 inference(quant_inst,[status(thm)],[])).
% 3.34/3.50 tff(7131,plain,
% 3.34/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.34/3.50 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 3.34/3.50 tff(7132,plain,
% 3.34/3.50 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7131, 91, 7125, 177, 526, 7103, 7026])).
% 3.34/3.50 tff(7133,plain,
% 3.34/3.50 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[3164, 7132])).
% 3.34/3.50 tff(7134,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7135,plain,
% 3.34/3.50 (((~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(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(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(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(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7136,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(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(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.34/3.50 inference(monotonicity,[status(thm)],[7135])).
% 3.34/3.50 tff(7137,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(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(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.34/3.50 inference(transitivity,[status(thm)],[7136, 7134])).
% 3.34/3.50 tff(7138,plain,
% 3.34/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(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(s(z)))))))),
% 3.34/3.50 inference(quant_inst,[status(thm)],[])).
% 3.34/3.50 tff(7139,plain,
% 3.34/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.34/3.50 inference(modus_ponens,[status(thm)],[7138, 7137])).
% 3.34/3.50 tff(7140,plain,
% 3.34/3.50 ($false),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7139, 91, 4456, 318, 923, 349, 4841])).
% 3.34/3.50 tff(7141,plain,((~b(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(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.50 tff(7142,plain,
% 3.34/3.50 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7141, 7026, 318, 7028, 7125])).
% 3.34/3.50 tff(7143,plain,
% 3.34/3.50 (r(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[938, 7142])).
% 3.34/3.50 tff(7144,plain,
% 3.34/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7145,plain,
% 3.34/3.50 (((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(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(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7146,plain,
% 3.34/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(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(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.34/3.50 inference(monotonicity,[status(thm)],[7145])).
% 3.34/3.50 tff(7147,plain,
% 3.34/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(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(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.50 inference(transitivity,[status(thm)],[7146, 7144])).
% 3.34/3.50 tff(7148,plain,
% 3.34/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(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(s(s(s(z)))))))),
% 3.34/3.50 inference(quant_inst,[status(thm)],[])).
% 3.34/3.50 tff(7149,plain,
% 3.34/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.34/3.50 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 3.34/3.50 tff(7150,plain,
% 3.34/3.50 ($false),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7149, 125, 203, 204, 3102, 3103, 5707])).
% 3.34/3.50 tff(7151,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.50 tff(7152,plain,
% 3.34/3.50 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7151, 7143, 204, 7032, 7133])).
% 3.34/3.50 tff(7153,plain,
% 3.34/3.50 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[5666, 7152])).
% 3.34/3.50 tff(7154,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7155,plain,
% 3.34/3.50 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(7156,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.34/3.50 inference(monotonicity,[status(thm)],[7155])).
% 3.34/3.50 tff(7157,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.50 inference(transitivity,[status(thm)],[7156, 7154])).
% 3.34/3.50 tff(7158,plain,
% 3.34/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.34/3.50 inference(quant_inst,[status(thm)],[])).
% 3.34/3.50 tff(7159,plain,
% 3.34/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.34/3.50 inference(modus_ponens,[status(thm)],[7158, 7157])).
% 3.34/3.50 tff(7160,plain,
% 3.34/3.50 ($false),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7159, 91, 3382, 7030, 7153, 7028, 7026])).
% 3.34/3.50 tff(7161,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.50 tff(7162,plain,
% 3.34/3.50 (~b(z, s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7161, 7003, 177, 6922, 6924, 6983, 71, 316, 178, 115, 72, 135])).
% 3.34/3.50 tff(7163,plain,
% 3.34/3.50 (r(z, s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[3400, 7162])).
% 3.34/3.50 tff(7164,plain,
% 3.34/3.50 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[5145, 7163, 6926, 115, 71])).
% 3.34/3.50 tff(7165,plain,
% 3.34/3.50 (b(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[938, 7164])).
% 3.34/3.50 tff(7166,plain,
% 3.34/3.50 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[6975, 7003, 177, 6922, 6924, 135, 6926, 6928])).
% 3.34/3.50 tff(7167,plain,
% 3.34/3.50 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[1313, 7166])).
% 3.34/3.50 tff(7168,plain,
% 3.34/3.50 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[7101, 7167, 178, 177, 6922, 6928, 6983, 115, 6926])).
% 3.34/3.50 tff(7169,plain,
% 3.34/3.50 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[246, 7168])).
% 3.34/3.50 tff(7170,plain,
% 3.34/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7171,plain,
% 3.34/3.51 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7172,plain,
% 3.34/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 3.34/3.51 inference(monotonicity,[status(thm)],[7171])).
% 3.34/3.51 tff(7173,plain,
% 3.34/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.34/3.51 inference(transitivity,[status(thm)],[7172, 7170])).
% 3.34/3.51 tff(7174,plain,
% 3.34/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.51 inference(quant_inst,[status(thm)],[])).
% 3.34/3.51 tff(7175,plain,
% 3.34/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 3.34/3.51 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 3.34/3.51 tff(7176,plain,
% 3.34/3.51 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7175, 91, 318, 923, 72, 316, 3451])).
% 3.34/3.51 tff(7177,plain,
% 3.34/3.51 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[3164, 7176])).
% 3.34/3.51 tff(7178,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7179,plain,
% 3.34/3.51 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~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(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7180,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.34/3.51 inference(monotonicity,[status(thm)],[7179])).
% 3.34/3.51 tff(7181,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.34/3.51 inference(transitivity,[status(thm)],[7180, 7178])).
% 3.34/3.51 tff(7182,plain,
% 3.34/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(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)))))))))),
% 3.34/3.51 inference(quant_inst,[status(thm)],[])).
% 3.34/3.51 tff(7183,plain,
% 3.34/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.34/3.51 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 3.34/3.51 tff(7184,plain,
% 3.34/3.51 ($false),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7183, 125, 135, 4498, 7177, 4539, 269])).
% 3.34/3.51 tff(7185,plain,((~b(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.51 tff(7186,plain,
% 3.34/3.51 (~b(s(s(z)), s(z))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7185, 4539, 135, 269, 6924, 923, 72, 316, 177])).
% 3.34/3.51 tff(7187,plain,
% 3.34/3.51 (r(s(s(z)), s(z))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[857, 7186])).
% 3.34/3.51 tff(7188,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7189,plain,
% 3.34/3.51 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7190,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z)))))),
% 3.34/3.51 inference(monotonicity,[status(thm)],[7189])).
% 3.34/3.51 tff(7191,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.34/3.51 inference(transitivity,[status(thm)],[7190, 7188])).
% 3.34/3.51 tff(7192,plain,
% 3.34/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.34/3.51 inference(quant_inst,[status(thm)],[])).
% 3.34/3.51 tff(7193,plain,
% 3.34/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z)))),
% 3.34/3.51 inference(modus_ponens,[status(thm)],[7192, 7191])).
% 3.34/3.51 tff(7194,plain,
% 3.34/3.51 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7193, 125, 6922, 7187, 4539, 269])).
% 3.34/3.51 tff(7195,plain,
% 3.34/3.51 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[5705, 7194])).
% 3.34/3.51 tff(7196,plain,
% 3.34/3.51 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[4985, 125, 410, 135, 7187, 4539])).
% 3.34/3.51 tff(7197,plain,
% 3.34/3.51 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[5666, 7196])).
% 3.34/3.51 tff(7198,plain,
% 3.34/3.51 ($false),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7121, 91, 178, 7197, 7195, 316, 349, 298])).
% 3.34/3.51 tff(7199,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.51 tff(7200,plain,
% 3.34/3.51 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7199, 6993, 316, 178, 7169, 6983, 135, 269, 7165, 72, 177])).
% 3.34/3.51 tff(7201,plain,
% 3.34/3.51 (b(s(s(z)), s(s(s(s(z)))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[4476, 7200])).
% 3.34/3.51 tff(7202,plain,
% 3.34/3.51 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7141, 7201, 6924, 6993, 7165])).
% 3.34/3.51 tff(7203,plain,
% 3.34/3.51 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[5101, 7202])).
% 3.34/3.51 tff(7204,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7205,plain,
% 3.34/3.51 (((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7206,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z)))))),
% 3.34/3.51 inference(monotonicity,[status(thm)],[7205])).
% 3.34/3.51 tff(7207,plain,
% 3.34/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.34/3.51 inference(transitivity,[status(thm)],[7206, 7204])).
% 3.34/3.51 tff(7208,plain,
% 3.34/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.34/3.51 inference(quant_inst,[status(thm)],[])).
% 3.34/3.51 tff(7209,plain,
% 3.34/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z)))),
% 3.34/3.51 inference(modus_ponens,[status(thm)],[7208, 7207])).
% 3.34/3.51 tff(7210,plain,
% 3.34/3.51 ($false),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7209, 125, 3403, 410, 71, 2446, 4830])).
% 3.34/3.51 tff(7211,plain,((~r(s(s(z)), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.51 tff(7212,plain,
% 3.34/3.51 (~r(s(s(z)), s(z))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7211, 7203, 6983, 71, 7163])).
% 3.34/3.51 tff(7213,plain,
% 3.34/3.51 (b(s(s(z)), s(z))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[857, 7212])).
% 3.34/3.51 tff(7214,plain,
% 3.34/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(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), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(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), z)) | (~b(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7215,plain,
% 3.34/3.51 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(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(s(s(s(z)))), s(z))) | (~b(z, s(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), z)) | (~b(s(s(z)), s(z))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7216,plain,
% 3.34/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(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), z)) | (~b(s(s(z)), s(z)))))),
% 3.34/3.51 inference(monotonicity,[status(thm)],[7215])).
% 3.34/3.51 tff(7217,plain,
% 3.34/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(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), z)) | (~b(s(s(z)), s(z))))),
% 3.34/3.51 inference(transitivity,[status(thm)],[7216, 7214])).
% 3.34/3.51 tff(7218,plain,
% 3.34/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))),
% 3.34/3.51 inference(quant_inst,[status(thm)],[])).
% 3.34/3.51 tff(7219,plain,
% 3.34/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 3.34/3.51 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 3.34/3.51 tff(7220,plain,
% 3.34/3.51 ($false),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7219, 91, 7201, 178, 7165, 177, 72, 7213])).
% 3.34/3.51 tff(7221,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.51 tff(7222,plain,
% 3.34/3.51 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[7221, 71, 177, 72, 178, 316, 135, 269])).
% 3.34/3.51 tff(7223,plain,
% 3.34/3.51 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[689, 7222])).
% 3.34/3.51 tff(7224,plain,
% 3.34/3.51 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[4797, 73, 135, 1020, 71])).
% 3.34/3.51 tff(7225,plain,
% 3.34/3.51 (b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[394, 7224])).
% 3.34/3.51 tff(7226,plain,
% 3.34/3.51 (~b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[4355, 7225, 177, 669])).
% 3.34/3.51 tff(7227,plain,
% 3.34/3.51 (r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[163, 7226])).
% 3.34/3.51 tff(7228,plain,
% 3.34/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7229,plain,
% 3.34/3.51 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(7230,plain,
% 3.34/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 3.34/3.52 inference(monotonicity,[status(thm)],[7229])).
% 3.34/3.52 tff(7231,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.34/3.52 inference(transitivity,[status(thm)],[7230, 7228])).
% 3.34/3.52 tff(7232,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.52 inference(quant_inst,[status(thm)],[])).
% 3.34/3.52 tff(7233,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 3.34/3.52 inference(modus_ponens,[status(thm)],[7232, 7231])).
% 3.34/3.52 tff(7234,plain,
% 3.34/3.52 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7233, 91, 7225, 318, 669, 72, 316])).
% 3.34/3.52 tff(7235,plain,
% 3.34/3.52 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1313, 7234])).
% 3.34/3.52 tff(7236,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[4871, 125, 7235, 135, 73, 7227, 269])).
% 3.34/3.52 tff(7237,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7238,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7237, 7223, 269, 6924, 135, 72, 316, 177, 6926, 71])).
% 3.34/3.52 tff(7239,plain,
% 3.34/3.52 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[369, 7238])).
% 3.34/3.52 tff(7240,plain,
% 3.34/3.52 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[5354, 91, 178, 6924, 7223, 316, 7239])).
% 3.34/3.52 tff(7241,plain,
% 3.34/3.52 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[246, 7240])).
% 3.34/3.52 tff(7242,plain,
% 3.34/3.52 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[677, 7239, 178, 7223])).
% 3.34/3.52 tff(7243,plain,
% 3.34/3.52 (r(z, s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[113, 7242])).
% 3.34/3.52 tff(7244,plain,
% 3.34/3.52 (~b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[4381, 91, 178, 7223, 177, 72, 7239])).
% 3.34/3.52 tff(7245,plain,
% 3.34/3.52 (r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[394, 7244])).
% 3.34/3.52 tff(7246,plain,
% 3.34/3.52 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6788, 7241, 269, 7245])).
% 3.34/3.52 tff(7247,plain,
% 3.34/3.52 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[542, 7246])).
% 3.34/3.52 tff(7248,plain,
% 3.34/3.52 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6938, 7247, 316, 72])).
% 3.34/3.52 tff(7249,plain,
% 3.34/3.52 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1093, 7248])).
% 3.34/3.52 tff(7250,plain,
% 3.34/3.52 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[224, 7249, 7243, 7241])).
% 3.34/3.52 tff(7251,plain,
% 3.34/3.52 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1313, 7250])).
% 3.34/3.52 tff(7252,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(7253,plain,
% 3.34/3.52 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(7254,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.34/3.52 inference(monotonicity,[status(thm)],[7253])).
% 3.34/3.52 tff(7255,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.52 inference(transitivity,[status(thm)],[7254, 7252])).
% 3.34/3.52 tff(7256,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.52 inference(quant_inst,[status(thm)],[])).
% 3.34/3.52 tff(7257,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.34/3.52 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 3.34/3.52 tff(7258,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7257, 91, 7251, 6924, 7223, 7239])).
% 3.34/3.52 tff(7259,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7260,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7259, 72, 316, 6698, 317, 177, 135])).
% 3.34/3.52 tff(7261,plain,
% 3.34/3.52 (b(s(s(s(s(s(z))))), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[427, 7260])).
% 3.34/3.52 tff(7262,plain,
% 3.34/3.52 (~b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[4914, 410, 178, 135, 316, 72, 73, 669, 177])).
% 3.34/3.52 tff(7263,plain,
% 3.34/3.52 (~r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[511, 410, 4490, 75])).
% 3.34/3.52 tff(7264,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[163, 7263, 7262])).
% 3.34/3.52 tff(7265,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7266,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7265, 669, 178, 135, 316, 72, 73, 75, 177])).
% 3.34/3.52 tff(7267,plain,
% 3.34/3.52 (b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[394, 7266])).
% 3.34/3.52 tff(7268,plain,
% 3.34/3.52 (~b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[4355, 7267, 177, 669])).
% 3.34/3.52 tff(7269,plain,
% 3.34/3.52 (r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[163, 7268])).
% 3.34/3.52 tff(7270,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7259, 72, 316, 269, 178, 177, 135])).
% 3.34/3.52 tff(7271,plain,
% 3.34/3.52 (b(s(s(s(s(s(z))))), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[427, 7270])).
% 3.34/3.52 tff(7272,plain,
% 3.34/3.52 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1158, 7267, 316, 178, 177, 7271])).
% 3.34/3.52 tff(7273,plain,
% 3.34/3.52 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1313, 7272])).
% 3.34/3.52 tff(7274,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[4871, 125, 7273, 135, 73, 7269, 269])).
% 3.34/3.52 tff(7275,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7276,plain,
% 3.34/3.52 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7275, 1203, 73, 6698, 316, 317, 177, 72, 135])).
% 3.34/3.52 tff(7277,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[5251, 7276, 169, 177, 6911, 101])).
% 3.34/3.52 tff(7278,plain,
% 3.34/3.52 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[246, 7277])).
% 3.34/3.52 tff(7279,plain,
% 3.34/3.52 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6212, 7278, 316, 7261])).
% 3.34/3.52 tff(7280,plain,
% 3.34/3.52 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1093, 7279])).
% 3.34/3.52 tff(7281,plain,
% 3.34/3.52 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6832, 7280, 6920, 6698])).
% 3.34/3.52 tff(7282,plain,
% 3.34/3.52 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[542, 7281])).
% 3.34/3.52 tff(7283,plain,
% 3.34/3.52 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[689, 7276])).
% 3.34/3.52 tff(7284,plain,
% 3.34/3.52 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[212, 7283, 6912, 73])).
% 3.34/3.52 tff(7285,plain,
% 3.34/3.52 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1313, 7284])).
% 3.34/3.52 tff(7286,plain,
% 3.34/3.52 (~r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[144, 7283, 135, 73])).
% 3.34/3.52 tff(7287,plain,
% 3.34/3.52 (b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[163, 7286])).
% 3.34/3.52 tff(7288,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(7289,plain,
% 3.34/3.52 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(7290,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.34/3.52 inference(monotonicity,[status(thm)],[7289])).
% 3.34/3.52 tff(7291,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.34/3.52 inference(transitivity,[status(thm)],[7290, 7288])).
% 3.34/3.52 tff(7292,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.52 inference(quant_inst,[status(thm)],[])).
% 3.34/3.52 tff(7293,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.34/3.52 inference(modus_ponens,[status(thm)],[7292, 7291])).
% 3.34/3.52 tff(7294,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7293, 91, 7287, 7285, 72, 316, 7282, 7278])).
% 3.34/3.52 tff(7295,plain,(b(z, s(s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | r(z, s(s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7296,plain,
% 3.34/3.52 (b(z, s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7295, 73, 316, 135, 72, 169, 177])).
% 3.34/3.52 tff(7297,plain,
% 3.34/3.52 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[5970, 7296, 316, 7261])).
% 3.34/3.52 tff(7298,plain,
% 3.34/3.52 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[246, 7297])).
% 3.34/3.52 tff(7299,plain,
% 3.34/3.52 (~b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[99, 7296, 72, 7261])).
% 3.34/3.52 tff(7300,plain,
% 3.34/3.52 (r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[394, 7299])).
% 3.34/3.52 tff(7301,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[4711, 7300, 7298, 177, 135, 6912, 73])).
% 3.34/3.52 tff(7302,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7303,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7302, 72, 135, 177, 316, 169])).
% 3.34/3.52 tff(7304,plain,
% 3.34/3.52 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[369, 7303])).
% 3.34/3.52 tff(7305,plain,
% 3.34/3.52 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6105, 7304, 317, 7261])).
% 3.34/3.52 tff(7306,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(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(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(7307,plain,
% 3.34/3.52 (((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(7308,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.34/3.52 inference(monotonicity,[status(thm)],[7307])).
% 3.34/3.52 tff(7309,plain,
% 3.34/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.34/3.52 inference(transitivity,[status(thm)],[7308, 7306])).
% 3.34/3.52 tff(7310,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.34/3.52 inference(quant_inst,[status(thm)],[])).
% 3.34/3.52 tff(7311,plain,
% 3.34/3.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.34/3.52 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 3.34/3.52 tff(7312,plain,
% 3.34/3.52 ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7311, 91, 7261, 317, 177, 72])).
% 3.34/3.52 tff(7313,plain,
% 3.34/3.52 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7312, 7304])).
% 3.34/3.52 tff(7314,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[5251, 7313, 169, 177, 6911, 7305])).
% 3.34/3.52 tff(7315,plain,
% 3.34/3.52 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[246, 7314])).
% 3.34/3.52 tff(7316,plain,
% 3.34/3.52 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6212, 7315, 316, 7261])).
% 3.34/3.52 tff(7317,plain,
% 3.34/3.52 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1093, 7316])).
% 3.34/3.52 tff(7318,plain,
% 3.34/3.52 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6832, 7317, 6920, 6698])).
% 3.34/3.52 tff(7319,plain,
% 3.34/3.52 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[542, 7318])).
% 3.34/3.52 tff(7320,plain,
% 3.34/3.52 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[689, 7305])).
% 3.34/3.52 tff(7321,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7060, 125, 204, 135, 115, 136, 269])).
% 3.34/3.52 tff(7322,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7323,plain,
% 3.34/3.52 (~r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7322, 7320, 135, 6912, 6698])).
% 3.34/3.52 tff(7324,plain,
% 3.34/3.52 (b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[163, 7323])).
% 3.34/3.52 tff(7325,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[2656, 91, 7261, 7324, 6916, 177, 316, 7319])).
% 3.34/3.52 tff(7326,plain,((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z)))))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7327,plain,
% 3.34/3.52 (~b(s(z), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7326, 135, 316, 177, 169])).
% 3.34/3.52 tff(7328,plain,
% 3.34/3.52 (r(s(z), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[408, 7327])).
% 3.34/3.52 tff(7329,plain,
% 3.34/3.52 ($false),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[2666, 125, 6912, 135, 7328, 6918, 6698])).
% 3.34/3.52 tff(7330,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.52 tff(7331,plain,
% 3.34/3.52 (~r(s(z), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[7330, 177, 316, 169])).
% 3.34/3.52 tff(7332,plain,
% 3.34/3.52 (b(s(z), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[563, 7331])).
% 3.34/3.52 tff(7333,plain,
% 3.34/3.52 (~b(z, s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[3962, 7332, 317, 177])).
% 3.34/3.52 tff(7334,plain,
% 3.34/3.52 (r(z, s(z))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[267, 7333])).
% 3.34/3.52 tff(7335,plain,
% 3.34/3.52 (~b(s(z), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[1213, 91, 7332, 317, 177])).
% 3.34/3.52 tff(7336,plain,
% 3.34/3.52 (r(s(z), z)),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[408, 7335])).
% 3.34/3.52 tff(7337,plain,
% 3.34/3.52 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6170, 7332, 317, 177, 316])).
% 3.34/3.52 tff(7338,plain,
% 3.34/3.52 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[69, 7337])).
% 3.34/3.52 tff(7339,plain,
% 3.34/3.52 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[6190, 7338, 177, 317, 7332])).
% 3.34/3.53 tff(7340,plain,
% 3.34/3.53 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[246, 7339])).
% 3.34/3.53 tff(7341,plain,
% 3.34/3.53 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[6170, 565, 178, 177, 316])).
% 3.34/3.53 tff(7342,plain,
% 3.34/3.53 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[69, 7341])).
% 3.34/3.53 tff(7343,plain,
% 3.34/3.53 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[6190, 7342, 177, 178, 565])).
% 3.34/3.53 tff(7344,plain,
% 3.34/3.53 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[246, 7343])).
% 3.34/3.53 tff(7345,plain,
% 3.34/3.53 (~r(s(s(s(s(s(z))))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[447, 410, 270, 411])).
% 3.34/3.53 tff(7346,plain,
% 3.34/3.53 (b(s(s(s(s(s(z))))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[427, 7345])).
% 3.34/3.53 tff(7347,plain,
% 3.34/3.53 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[6212, 7346, 316, 298])).
% 3.34/3.53 tff(7348,plain,
% 3.34/3.53 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[1093, 7347])).
% 3.34/3.53 tff(7349,plain,
% 3.34/3.53 ($false),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[6900, 125, 410, 75, 7348, 270, 269])).
% 3.34/3.53 tff(7350,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.53 tff(7351,plain,
% 3.34/3.53 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7350, 75, 4685, 269, 316, 7344, 1215])).
% 3.34/3.53 tff(7352,plain,
% 3.34/3.53 (b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[394, 7351])).
% 3.34/3.53 tff(7353,plain,
% 3.34/3.53 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[4395, 7352, 177, 565])).
% 3.34/3.53 tff(7354,plain,
% 3.34/3.53 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[689, 7353])).
% 3.34/3.53 tff(7355,plain,
% 3.34/3.53 (((~b(s(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(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7356,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.34/3.53 inference(monotonicity,[status(thm)],[7355])).
% 3.34/3.53 tff(7357,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.53 inference(transitivity,[status(thm)],[7356, 5190])).
% 3.34/3.53 tff(7358,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.53 inference(quant_inst,[status(thm)],[])).
% 3.34/3.53 tff(7359,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.34/3.53 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 3.34/3.53 tff(7360,plain,
% 3.34/3.53 ($false),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7359, 91, 77, 565, 177, 349])).
% 3.34/3.53 tff(7361,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.53 tff(7362,plain,
% 3.34/3.53 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7361, 7352, 177, 565])).
% 3.34/3.53 tff(7363,plain,
% 3.34/3.53 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[369, 7362])).
% 3.34/3.53 tff(7364,plain,
% 3.34/3.53 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[212, 7354, 7342, 7363])).
% 3.34/3.53 tff(7365,plain,
% 3.34/3.53 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[1313, 7364])).
% 3.34/3.53 tff(7366,plain,
% 3.34/3.53 (~b(s(s(s(s(s(z))))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[1158, 7365, 316, 178, 177, 7352])).
% 3.34/3.53 tff(7367,plain,
% 3.34/3.53 (r(s(s(s(s(s(z))))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[427, 7366])).
% 3.34/3.53 tff(7368,plain,
% 3.34/3.53 (~r(s(s(s(s(z)))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[1293, 7367, 7354, 75])).
% 3.34/3.53 tff(7369,plain,
% 3.34/3.53 (b(s(s(s(s(z)))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[314, 7368])).
% 3.34/3.53 tff(7370,plain,
% 3.34/3.53 ($false),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[972, 125, 75, 71, 836, 5707])).
% 3.34/3.53 tff(7371,plain,((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.53 tff(7372,plain,
% 3.34/3.53 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7371, 836, 71, 75])).
% 3.34/3.53 tff(7373,plain,
% 3.34/3.53 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[5666, 7372])).
% 3.34/3.53 tff(7374,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(z)), s(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(X1, 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(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7375,plain,
% 3.34/3.53 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(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(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7376,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))))),
% 3.34/3.53 inference(monotonicity,[status(thm)],[7375])).
% 3.34/3.53 tff(7377,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.34/3.53 inference(transitivity,[status(thm)],[7376, 7374])).
% 3.34/3.53 tff(7378,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.53 inference(quant_inst,[status(thm)],[])).
% 3.34/3.53 tff(7379,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))),
% 3.34/3.53 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 3.34/3.53 tff(7380,plain,
% 3.34/3.53 ($false),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7379, 91, 77, 565, 7373, 177, 858])).
% 3.34/3.53 tff(7381,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.53 tff(7382,plain,
% 3.34/3.53 (~r(s(s(z)), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7381, 7352, 565, 177, 1215, 4685, 7367, 75])).
% 3.34/3.53 tff(7383,plain,
% 3.34/3.53 (b(s(s(z)), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[898, 7382])).
% 3.34/3.53 tff(7384,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(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(X1, 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)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7385,plain,
% 3.34/3.53 (((~b(s(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)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7386,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~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(X1, 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)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.34/3.53 inference(monotonicity,[status(thm)],[7385])).
% 3.34/3.53 tff(7387,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~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(X1, 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)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.34/3.53 inference(transitivity,[status(thm)],[7386, 7384])).
% 3.34/3.53 tff(7388,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.34/3.53 inference(quant_inst,[status(thm)],[])).
% 3.34/3.53 tff(7389,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.34/3.53 inference(modus_ponens,[status(thm)],[7388, 7387])).
% 3.34/3.53 tff(7390,plain,
% 3.34/3.53 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7389, 91, 7383, 178, 177, 7369])).
% 3.34/3.53 tff(7391,plain,
% 3.34/3.53 (r(s(s(z)), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[4476, 7390])).
% 3.34/3.53 tff(7392,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7393,plain,
% 3.34/3.53 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7394,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.34/3.53 inference(monotonicity,[status(thm)],[7393])).
% 3.34/3.53 tff(7395,plain,
% 3.34/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(transitivity,[status(thm)],[7394, 7392])).
% 3.34/3.53 tff(7396,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(quant_inst,[status(thm)],[])).
% 3.34/3.53 tff(7397,plain,
% 3.34/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.34/3.53 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 3.34/3.53 tff(7398,plain,
% 3.34/3.53 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7397, 91, 7383, 178, 7369, 316])).
% 3.34/3.53 tff(7399,plain,
% 3.34/3.53 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[3164, 7398])).
% 3.34/3.53 tff(7400,plain,
% 3.34/3.53 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[932, 7383, 178, 7369])).
% 3.34/3.53 tff(7401,plain,
% 3.34/3.53 (r(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[938, 7400])).
% 3.34/3.53 tff(7402,plain,
% 3.34/3.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7403,plain,
% 3.34/3.53 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7404,plain,
% 3.34/3.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.34/3.53 inference(monotonicity,[status(thm)],[7403])).
% 3.34/3.53 tff(7405,plain,
% 3.34/3.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(transitivity,[status(thm)],[7404, 7402])).
% 3.34/3.53 tff(7406,plain,
% 3.34/3.53 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.53 inference(quant_inst,[status(thm)],[])).
% 3.34/3.53 tff(7407,plain,
% 3.34/3.53 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.34/3.53 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 3.34/3.53 tff(7408,plain,
% 3.34/3.53 ($false),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7407, 125, 7342, 7401, 7399, 7391])).
% 3.34/3.53 tff(7409,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.53 tff(7410,plain,
% 3.34/3.53 (~r(z, s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[7409, 177, 316, 317, 7332, 6698])).
% 3.34/3.53 tff(7411,plain,
% 3.34/3.53 (b(z, s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[113, 7410])).
% 3.34/3.53 tff(7412,plain,
% 3.34/3.53 (~b(s(s(s(s(s(z))))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[5970, 7411, 316, 7340])).
% 3.34/3.53 tff(7413,plain,
% 3.34/3.53 (r(s(s(s(s(s(z))))), z)),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[427, 7412])).
% 3.34/3.53 tff(7414,plain,
% 3.34/3.53 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[447, 7413, 7334, 7336])).
% 3.34/3.53 tff(7415,plain,
% 3.34/3.53 (b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[394, 7414])).
% 3.34/3.53 tff(7416,plain,
% 3.34/3.53 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[4275, 7411, 317, 177, 7332])).
% 3.34/3.53 tff(7417,plain,
% 3.34/3.53 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[369, 7416])).
% 3.34/3.53 tff(7418,plain,
% 3.34/3.53 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[4395, 7415, 177, 7332])).
% 3.34/3.53 tff(7419,plain,
% 3.34/3.53 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[689, 7418])).
% 3.34/3.53 tff(7420,plain,
% 3.34/3.53 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[212, 7419, 7338, 7417])).
% 3.34/3.53 tff(7421,plain,
% 3.34/3.53 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[1313, 7420])).
% 3.34/3.53 tff(7422,plain,
% 3.34/3.53 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[5514, 7421, 7340, 7411, 7415])).
% 3.34/3.53 tff(7423,plain,
% 3.34/3.53 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[1093, 7422])).
% 3.34/3.53 tff(7424,plain,
% 3.34/3.53 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[6832, 7423, 7334, 6698])).
% 3.34/3.53 tff(7425,plain,
% 3.34/3.53 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.53 inference(unit_resolution,[status(thm)],[542, 7424])).
% 3.34/3.53 tff(7426,plain,
% 3.34/3.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7427,plain,
% 3.34/3.53 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.34/3.53 inference(rewrite,[status(thm)],[])).
% 3.34/3.53 tff(7428,plain,
% 3.34/3.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))))),
% 3.34/3.53 inference(monotonicity,[status(thm)],[7427])).
% 3.34/3.53 tff(7429,plain,
% 3.34/3.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.34/3.53 inference(transitivity,[status(thm)],[7428, 7426])).
% 3.34/3.53 tff(7430,plain,
% 3.34/3.53 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.34/3.53 inference(quant_inst,[status(thm)],[])).
% 3.34/3.53 tff(7431,plain,
% 3.34/3.53 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))),
% 3.34/3.53 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 3.34/3.53 tff(7432,plain,
% 3.34/3.54 ($false),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7431, 125, 215, 411, 71, 136, 269])).
% 3.34/3.54 tff(7433,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.54 tff(7434,plain,
% 3.34/3.54 (~r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7433, 7423, 6698, 7336, 7413])).
% 3.34/3.54 tff(7435,plain,
% 3.34/3.54 (b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[163, 7434])).
% 3.34/3.54 tff(7436,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7437,plain,
% 3.34/3.54 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7438,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.34/3.54 inference(monotonicity,[status(thm)],[7437])).
% 3.34/3.54 tff(7439,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.54 inference(transitivity,[status(thm)],[7438, 7436])).
% 3.34/3.54 tff(7440,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.54 inference(quant_inst,[status(thm)],[])).
% 3.34/3.54 tff(7441,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.34/3.54 inference(modus_ponens,[status(thm)],[7440, 7439])).
% 3.34/3.54 tff(7442,plain,
% 3.34/3.54 ($false),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7441, 91, 7415, 7332, 7435, 7421, 7425])).
% 3.34/3.54 tff(7443,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | r(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.54 tff(7444,plain,
% 3.34/3.54 (~b(s(s(s(s(z)))), s(z))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7443, 169, 316])).
% 3.34/3.54 tff(7445,plain,
% 3.34/3.54 (r(s(s(s(s(z)))), s(z))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[201, 7444])).
% 3.34/3.54 tff(7446,plain,
% 3.34/3.54 (~r(z, s(z))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[5940, 1020, 544, 411])).
% 3.34/3.54 tff(7447,plain,
% 3.34/3.54 (b(z, s(z))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[267, 7446])).
% 3.34/3.54 tff(7448,plain,
% 3.34/3.54 (~b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[5950, 429, 77, 81])).
% 3.34/3.54 tff(7449,plain,
% 3.34/3.54 (r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[163, 7448])).
% 3.34/3.54 tff(7450,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7451,plain,
% 3.34/3.54 (((~b(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(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7452,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.34/3.54 inference(monotonicity,[status(thm)],[7451])).
% 3.34/3.54 tff(7453,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.54 inference(transitivity,[status(thm)],[7452, 7450])).
% 3.34/3.54 tff(7454,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.34/3.54 inference(quant_inst,[status(thm)],[])).
% 3.34/3.54 tff(7455,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.34/3.54 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 3.34/3.54 tff(7456,plain,
% 3.34/3.54 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7455, 91, 77, 76, 565, 81])).
% 3.34/3.54 tff(7457,plain,
% 3.34/3.54 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7456, 1073])).
% 3.34/3.54 tff(7458,plain,
% 3.34/3.54 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[1313, 7457])).
% 3.34/3.54 tff(7459,plain,
% 3.34/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7460,plain,
% 3.34/3.54 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), 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)))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7461,plain,
% 3.34/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.34/3.54 inference(monotonicity,[status(thm)],[7460])).
% 3.34/3.54 tff(7462,plain,
% 3.34/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.54 inference(transitivity,[status(thm)],[7461, 7459])).
% 3.34/3.54 tff(7463,plain,
% 3.34/3.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), 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)))), s(z))))),
% 3.34/3.54 inference(quant_inst,[status(thm)],[])).
% 3.34/3.54 tff(7464,plain,
% 3.34/3.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.34/3.54 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 3.34/3.54 tff(7465,plain,
% 3.34/3.54 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7464, 125, 7458, 544, 115, 269])).
% 3.34/3.54 tff(7466,plain,
% 3.34/3.54 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[336, 7465])).
% 3.34/3.54 tff(7467,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7468,plain,
% 3.34/3.54 (((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7469,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.34/3.54 inference(monotonicity,[status(thm)],[7468])).
% 3.34/3.54 tff(7470,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.34/3.54 inference(transitivity,[status(thm)],[7469, 7467])).
% 3.34/3.54 tff(7471,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.34/3.54 inference(quant_inst,[status(thm)],[])).
% 3.34/3.54 tff(7472,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))),
% 3.34/3.54 inference(modus_ponens,[status(thm)],[7471, 7470])).
% 3.34/3.54 tff(7473,plain,
% 3.34/3.54 ($false),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7472, 91, 76, 1073, 318, 74])).
% 3.34/3.54 tff(7474,plain,((~b(z, s(s(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(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.54 tff(7475,plain,
% 3.34/3.54 (~b(s(s(s(s(z)))), z)),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7474, 7466, 76, 1073])).
% 3.34/3.54 tff(7476,plain,
% 3.34/3.54 (r(s(s(s(s(z)))), z)),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[314, 7475])).
% 3.34/3.54 tff(7477,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7478,plain,
% 3.34/3.54 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7479,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.34/3.54 inference(monotonicity,[status(thm)],[7478])).
% 3.34/3.54 tff(7480,plain,
% 3.34/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.54 inference(transitivity,[status(thm)],[7479, 7477])).
% 3.34/3.54 tff(7481,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.34/3.54 inference(quant_inst,[status(thm)],[])).
% 3.34/3.54 tff(7482,plain,
% 3.34/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.34/3.54 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 3.34/3.54 tff(7483,plain,
% 3.34/3.54 (~b(s(s(s(s(s(z))))), z)),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[7482, 91, 77, 565, 429, 1073, 7466])).
% 3.34/3.54 tff(7484,plain,
% 3.34/3.54 (r(s(s(s(s(s(z))))), z)),
% 3.34/3.54 inference(unit_resolution,[status(thm)],[427, 7483])).
% 3.34/3.54 tff(7485,plain,
% 3.34/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.54 inference(rewrite,[status(thm)],[])).
% 3.34/3.54 tff(7486,plain,
% 3.34/3.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.55 inference(quant_inst,[status(thm)],[])).
% 3.34/3.55 tff(7487,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.34/3.55 inference(modus_ponens,[status(thm)],[7486, 7485])).
% 3.34/3.55 tff(7488,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7487, 125, 544, 7484, 7476, 115, 7449])).
% 3.34/3.55 tff(7489,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7490,plain,
% 3.34/3.55 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7489, 429, 115, 77, 565, 544, 76, 269, 81])).
% 3.34/3.55 tff(7491,plain,
% 3.34/3.55 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[1093, 7490])).
% 3.34/3.55 tff(7492,plain,
% 3.34/3.55 (~r(s(s(s(s(s(z))))), z)),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7433, 7491, 411, 7449, 269])).
% 3.34/3.55 tff(7493,plain,
% 3.34/3.55 (b(s(s(s(s(s(z))))), z)),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[427, 7492])).
% 3.34/3.55 tff(7494,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7495,plain,
% 3.34/3.55 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7496,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z))))),
% 3.34/3.55 inference(monotonicity,[status(thm)],[7495])).
% 3.34/3.55 tff(7497,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))),
% 3.34/3.55 inference(transitivity,[status(thm)],[7496, 7494])).
% 3.34/3.55 tff(7498,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.34/3.55 inference(quant_inst,[status(thm)],[])).
% 3.34/3.55 tff(7499,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z))),
% 3.34/3.55 inference(modus_ponens,[status(thm)],[7498, 7497])).
% 3.34/3.55 tff(7500,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7499, 125, 765, 215, 411, 269])).
% 3.34/3.55 tff(7501,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7502,plain,
% 3.34/3.55 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7501, 7491, 411, 269])).
% 3.34/3.55 tff(7503,plain,
% 3.34/3.55 (b(s(s(s(s(s(s(z)))))), z)),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[763, 7502])).
% 3.34/3.55 tff(7504,plain,
% 3.34/3.55 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[419, 7503, 81, 7493])).
% 3.34/3.55 tff(7505,plain,
% 3.34/3.55 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[5968, 91, 79, 81, 316])).
% 3.34/3.55 tff(7506,plain,
% 3.34/3.55 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[246, 7505])).
% 3.34/3.55 tff(7507,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7508,plain,
% 3.34/3.55 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7509,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 3.34/3.55 inference(monotonicity,[status(thm)],[7508])).
% 3.34/3.55 tff(7510,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.34/3.55 inference(transitivity,[status(thm)],[7509, 7507])).
% 3.34/3.55 tff(7511,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.34/3.55 inference(quant_inst,[status(thm)],[])).
% 3.34/3.55 tff(7512,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 3.34/3.55 tff(7513,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7512, 125, 203, 7506, 136, 269])).
% 3.34/3.55 tff(7514,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7515,plain,
% 3.34/3.55 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7514, 7503, 269, 81, 7449, 7493])).
% 3.34/3.55 tff(7516,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[1313, 7515, 7504])).
% 3.34/3.55 tff(7517,plain,((~b(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7518,plain,
% 3.34/3.55 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7517, 81, 565, 411, 76, 429, 77, 269, 544])).
% 3.34/3.55 tff(7519,plain,
% 3.34/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7520,plain,
% 3.34/3.55 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7521,plain,
% 3.34/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.34/3.55 inference(monotonicity,[status(thm)],[7520])).
% 3.34/3.55 tff(7522,plain,
% 3.34/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.55 inference(transitivity,[status(thm)],[7521, 7519])).
% 3.34/3.55 tff(7523,plain,
% 3.34/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.34/3.55 inference(quant_inst,[status(thm)],[])).
% 3.34/3.55 tff(7524,plain,
% 3.34/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.34/3.55 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 3.34/3.55 tff(7525,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7524, 91, 77, 565, 79, 429, 81, 669])).
% 3.34/3.55 tff(7526,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7527,plain,
% 3.34/3.55 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7526, 81, 565, 79, 77, 429])).
% 3.34/3.55 tff(7528,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[689, 7527, 7518])).
% 3.34/3.55 tff(7529,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7530,plain,
% 3.34/3.55 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7529, 77, 79, 565, 7447, 411, 76, 269, 544])).
% 3.34/3.55 tff(7531,plain,
% 3.34/3.55 (r(z, s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[113, 7530])).
% 3.34/3.55 tff(7532,plain,
% 3.34/3.55 (~b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[6302, 669, 565, 77])).
% 3.34/3.55 tff(7533,plain,
% 3.34/3.55 (r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[163, 7532])).
% 3.34/3.55 tff(7534,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7535,plain,
% 3.34/3.55 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7536,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))))),
% 3.34/3.55 inference(monotonicity,[status(thm)],[7535])).
% 3.34/3.55 tff(7537,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.34/3.55 inference(transitivity,[status(thm)],[7536, 7534])).
% 3.34/3.55 tff(7538,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.34/3.55 inference(quant_inst,[status(thm)],[])).
% 3.34/3.55 tff(7539,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))),
% 3.34/3.55 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 3.34/3.55 tff(7540,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7539, 125, 75, 411, 216, 136, 269])).
% 3.34/3.55 tff(7541,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7542,plain,
% 3.34/3.55 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7541, 7533, 411, 7531, 269])).
% 3.34/3.55 tff(7543,plain,
% 3.34/3.55 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[246, 7542])).
% 3.34/3.55 tff(7544,plain,
% 3.34/3.55 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[6212, 7543, 316, 79])).
% 3.34/3.55 tff(7545,plain,
% 3.34/3.55 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[1093, 7544])).
% 3.34/3.55 tff(7546,plain,
% 3.34/3.55 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[6057, 7543, 76, 669])).
% 3.34/3.55 tff(7547,plain,
% 3.34/3.55 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[336, 7546])).
% 3.34/3.55 tff(7548,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[1060, 7547, 7545, 544, 411, 1020])).
% 3.34/3.55 tff(7549,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7550,plain,
% 3.34/3.55 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7549, 77, 411, 1020, 76, 316, 79, 269, 565, 544])).
% 3.34/3.55 tff(7551,plain,
% 3.34/3.55 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[689, 7550])).
% 3.34/3.55 tff(7552,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[6007, 125, 7531, 544, 411, 1020, 7551])).
% 3.34/3.55 tff(7553,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7554,plain,
% 3.34/3.55 (~b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7553, 6700, 411, 544, 76, 316, 79, 269, 565])).
% 3.34/3.55 tff(7555,plain,
% 3.34/3.55 (r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[394, 7554])).
% 3.34/3.55 tff(7556,plain,
% 3.34/3.55 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[5930, 7555, 544, 411, 6700])).
% 3.34/3.55 tff(7557,plain,
% 3.34/3.55 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[689, 7556])).
% 3.34/3.55 tff(7558,plain,
% 3.34/3.55 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[6105, 7557, 178, 79])).
% 3.34/3.55 tff(7559,plain,
% 3.34/3.55 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[369, 7558])).
% 3.34/3.55 tff(7560,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7561,plain,
% 3.34/3.55 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.55 inference(rewrite,[status(thm)],[])).
% 3.34/3.55 tff(7562,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.34/3.55 inference(monotonicity,[status(thm)],[7561])).
% 3.34/3.55 tff(7563,plain,
% 3.34/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.55 inference(transitivity,[status(thm)],[7562, 7560])).
% 3.34/3.55 tff(7564,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.55 inference(quant_inst,[status(thm)],[])).
% 3.34/3.55 tff(7565,plain,
% 3.34/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.34/3.55 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 3.34/3.55 tff(7566,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7565, 125, 410, 544, 216, 73, 269])).
% 3.34/3.55 tff(7567,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7568,plain,
% 3.34/3.55 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7567, 7559, 269, 544, 7555])).
% 3.34/3.55 tff(7569,plain,
% 3.34/3.55 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[246, 7568])).
% 3.34/3.55 tff(7570,plain,
% 3.34/3.55 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[6212, 7569, 316, 79])).
% 3.34/3.55 tff(7571,plain,
% 3.34/3.55 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[1093, 7570])).
% 3.34/3.55 tff(7572,plain,
% 3.34/3.55 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[6057, 7569, 76, 7557])).
% 3.34/3.55 tff(7573,plain,
% 3.34/3.55 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[336, 7572])).
% 3.34/3.55 tff(7574,plain,
% 3.34/3.55 ($false),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[1060, 7573, 7571, 544, 411, 6700])).
% 3.34/3.55 tff(7575,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.55 tff(7576,plain,
% 3.34/3.55 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.55 inference(unit_resolution,[status(thm)],[7575, 411, 544, 316, 79, 269, 178, 565])).
% 3.34/3.56 tff(7577,plain,
% 3.34/3.56 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[69, 7576])).
% 3.34/3.56 tff(7578,plain,
% 3.34/3.56 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[6105, 642, 178, 79])).
% 3.34/3.56 tff(7579,plain,
% 3.34/3.56 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[689, 7578])).
% 3.34/3.56 tff(7580,plain,
% 3.34/3.56 (~b(s(s(s(s(z)))), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[597, 642, 178, 79])).
% 3.34/3.56 tff(7581,plain,
% 3.34/3.56 (r(s(s(s(s(z)))), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[314, 7580])).
% 3.34/3.56 tff(7582,plain,
% 3.34/3.56 (~r(z, s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1146, 7581, 347, 216, 7579])).
% 3.34/3.56 tff(7583,plain,
% 3.34/3.56 (b(z, s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[113, 7582])).
% 3.34/3.56 tff(7584,plain,
% 3.34/3.56 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[4195, 7579, 347, 216])).
% 3.34/3.56 tff(7585,plain,
% 3.34/3.56 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1313, 7584])).
% 3.34/3.56 tff(7586,plain,
% 3.34/3.56 ($false),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[419, 7585, 7583, 316, 79])).
% 3.34/3.56 tff(7587,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.56 tff(7588,plain,
% 3.34/3.56 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7587, 347, 79, 316, 178, 7577])).
% 3.34/3.56 tff(7589,plain,
% 3.34/3.56 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[246, 7588])).
% 3.34/3.56 tff(7590,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7591,plain,
% 3.34/3.56 (((~r(s(z), 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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~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(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7592,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), 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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.34/3.56 inference(monotonicity,[status(thm)],[7591])).
% 3.34/3.56 tff(7593,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), 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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.56 inference(transitivity,[status(thm)],[7592, 7590])).
% 3.34/3.56 tff(7594,plain,
% 3.34/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), 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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.56 inference(quant_inst,[status(thm)],[])).
% 3.34/3.56 tff(7595,plain,
% 3.34/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.34/3.56 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 3.34/3.56 tff(7596,plain,
% 3.34/3.56 ($false),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7595, 125, 544, 347, 545, 269])).
% 3.34/3.56 tff(7597,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.56 tff(7598,plain,
% 3.34/3.56 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7597, 347, 269, 544])).
% 3.34/3.56 tff(7599,plain,
% 3.34/3.56 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[542, 7598])).
% 3.34/3.56 tff(7600,plain,
% 3.34/3.56 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[6212, 7589, 316, 79])).
% 3.34/3.56 tff(7601,plain,
% 3.34/3.56 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1093, 7600])).
% 3.34/3.56 tff(7602,plain,
% 3.34/3.56 (~r(s(s(s(s(z)))), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1060, 7601, 544, 411, 347])).
% 3.34/3.56 tff(7603,plain,
% 3.34/3.56 (b(s(s(s(s(z)))), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[314, 7602])).
% 3.34/3.56 tff(7604,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7605,plain,
% 3.34/3.56 (((~r(s(z), 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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7606,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), 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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.34/3.56 inference(monotonicity,[status(thm)],[7605])).
% 3.34/3.56 tff(7607,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), 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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.56 inference(transitivity,[status(thm)],[7606, 7604])).
% 3.34/3.56 tff(7608,plain,
% 3.34/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), 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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.34/3.56 inference(quant_inst,[status(thm)],[])).
% 3.34/3.56 tff(7609,plain,
% 3.34/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.34/3.56 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 3.34/3.56 tff(7610,plain,
% 3.34/3.56 ($false),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7609, 125, 410, 544, 347, 115, 269])).
% 3.34/3.56 tff(7611,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.56 tff(7612,plain,
% 3.34/3.56 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7611, 5384, 269, 544, 410])).
% 3.34/3.56 tff(7613,plain,
% 3.34/3.56 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[689, 7612])).
% 3.34/3.56 tff(7614,plain,
% 3.34/3.56 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[4060, 7613, 178, 79])).
% 3.34/3.56 tff(7615,plain,
% 3.34/3.56 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[597, 74, 178, 79])).
% 3.34/3.56 tff(7616,plain,
% 3.34/3.56 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[369, 7615])).
% 3.34/3.56 tff(7617,plain,
% 3.34/3.56 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[378, 5384, 7577, 7616])).
% 3.34/3.56 tff(7618,plain,
% 3.34/3.56 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[246, 7617])).
% 3.34/3.56 tff(7619,plain,
% 3.34/3.56 (~r(z, s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7350, 7618, 410, 269, 316, 6238, 411])).
% 3.34/3.56 tff(7620,plain,
% 3.34/3.56 ($false),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[113, 7619, 7614])).
% 3.34/3.56 tff(7621,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.56 tff(7622,plain,
% 3.34/3.56 (~b(s(s(s(s(z)))), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7621, 410, 269, 316, 411, 178, 79, 544, 565])).
% 3.34/3.56 tff(7623,plain,
% 3.34/3.56 (r(s(s(s(s(z)))), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[314, 7622])).
% 3.34/3.56 tff(7624,plain,
% 3.34/3.56 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[5930, 7623, 544, 411, 410])).
% 3.34/3.56 tff(7625,plain,
% 3.34/3.56 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[689, 7624])).
% 3.34/3.56 tff(7626,plain,
% 3.34/3.56 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[6105, 7625, 178, 79])).
% 3.34/3.56 tff(7627,plain,
% 3.34/3.56 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[369, 7626])).
% 3.34/3.56 tff(7628,plain,
% 3.34/3.56 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7567, 7627, 269, 544, 410])).
% 3.34/3.56 tff(7629,plain,
% 3.34/3.56 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[246, 7628])).
% 3.34/3.56 tff(7630,plain,
% 3.34/3.56 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[6212, 7629, 316, 79])).
% 3.34/3.56 tff(7631,plain,
% 3.34/3.56 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1093, 7630])).
% 3.34/3.56 tff(7632,plain,
% 3.34/3.56 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1060, 7631, 544, 411, 7623])).
% 3.34/3.56 tff(7633,plain,
% 3.34/3.56 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[336, 7632])).
% 3.34/3.56 tff(7634,plain,
% 3.34/3.56 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[6675, 91, 79, 178, 7633, 316, 7629])).
% 3.34/3.56 tff(7635,plain,
% 3.34/3.56 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1313, 7634])).
% 3.34/3.56 tff(7636,plain,
% 3.34/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7637,plain,
% 3.34/3.56 (((~b(s(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(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7638,plain,
% 3.34/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(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(X1, 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(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.34/3.56 inference(monotonicity,[status(thm)],[7637])).
% 3.34/3.56 tff(7639,plain,
% 3.34/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(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(X1, 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(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.34/3.56 inference(transitivity,[status(thm)],[7638, 7636])).
% 3.34/3.56 tff(7640,plain,
% 3.34/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))),
% 3.34/3.56 inference(quant_inst,[status(thm)],[])).
% 3.34/3.56 tff(7641,plain,
% 3.34/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.34/3.56 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 3.34/3.56 tff(7642,plain,
% 3.34/3.56 ($false),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7641, 91, 924, 4456, 178, 923])).
% 3.34/3.56 tff(7643,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.56 tff(7644,plain,
% 3.34/3.56 (~b(s(s(z)), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7643, 4456, 178, 923])).
% 3.34/3.56 tff(7645,plain,
% 3.34/3.56 (r(s(s(z)), z)),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[898, 7644])).
% 3.34/3.56 tff(7646,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7647,plain,
% 3.34/3.56 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7648,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 3.34/3.56 inference(monotonicity,[status(thm)],[7647])).
% 3.34/3.56 tff(7649,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.34/3.56 inference(transitivity,[status(thm)],[7648, 7646])).
% 3.34/3.56 tff(7650,plain,
% 3.34/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.34/3.56 inference(quant_inst,[status(thm)],[])).
% 3.34/3.56 tff(7651,plain,
% 3.34/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 3.34/3.56 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 3.34/3.56 tff(7652,plain,
% 3.34/3.56 (~r(s(z), s(s(z)))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7651, 125, 215, 411, 7645, 269])).
% 3.34/3.56 tff(7653,plain,
% 3.34/3.56 (b(s(z), s(s(z)))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[1004, 7652])).
% 3.34/3.56 tff(7654,plain,
% 3.34/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(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(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(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(z)))), s(s(z)))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7655,plain,
% 3.34/3.56 (((~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(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(z), s(s(s(s(z)))))) | (~b(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(z)))), s(s(z)))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7656,plain,
% 3.34/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(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(z)))), s(s(z))))))),
% 3.34/3.56 inference(monotonicity,[status(thm)],[7655])).
% 3.34/3.56 tff(7657,plain,
% 3.34/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(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(z)))), s(s(z)))))),
% 3.34/3.56 inference(transitivity,[status(thm)],[7656, 7654])).
% 3.34/3.56 tff(7658,plain,
% 3.34/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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)))))))),
% 3.34/3.56 inference(quant_inst,[status(thm)],[])).
% 3.34/3.56 tff(7659,plain,
% 3.34/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.34/3.56 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 3.34/3.56 tff(7660,plain,
% 3.34/3.56 ($false),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7659, 91, 4456, 565, 318, 923, 7653])).
% 3.34/3.56 tff(7661,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(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.56 tff(7662,plain,
% 3.34/3.56 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[7661, 923, 318, 565, 215, 411, 269, 178])).
% 3.34/3.56 tff(7663,plain,
% 3.34/3.56 (r(s(s(z)), s(s(s(s(z)))))),
% 3.34/3.56 inference(unit_resolution,[status(thm)],[4476, 7662])).
% 3.34/3.56 tff(7664,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7665,plain,
% 3.34/3.56 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.56 inference(rewrite,[status(thm)],[])).
% 3.34/3.56 tff(7666,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.34/3.56 inference(monotonicity,[status(thm)],[7665])).
% 3.34/3.56 tff(7667,plain,
% 3.34/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.57 inference(transitivity,[status(thm)],[7666, 7664])).
% 3.34/3.57 tff(7668,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.34/3.57 inference(quant_inst,[status(thm)],[])).
% 3.34/3.57 tff(7669,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.34/3.57 inference(modus_ponens,[status(thm)],[7668, 7667])).
% 3.34/3.57 tff(7670,plain,
% 3.34/3.57 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7669, 125, 410, 544, 73, 7663])).
% 3.34/3.57 tff(7671,plain,
% 3.34/3.57 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[5101, 7670])).
% 3.34/3.57 tff(7672,plain,
% 3.34/3.57 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7567, 73, 269, 544, 410])).
% 3.34/3.57 tff(7673,plain,
% 3.34/3.57 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[246, 7672])).
% 3.34/3.57 tff(7674,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7675,plain,
% 3.34/3.57 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7676,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.34/3.57 inference(monotonicity,[status(thm)],[7675])).
% 3.34/3.57 tff(7677,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.57 inference(transitivity,[status(thm)],[7676, 7674])).
% 3.34/3.57 tff(7678,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.57 inference(quant_inst,[status(thm)],[])).
% 3.34/3.57 tff(7679,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.34/3.57 inference(modus_ponens,[status(thm)],[7678, 7677])).
% 3.34/3.57 tff(7680,plain,
% 3.34/3.57 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7679, 125, 203, 204, 73, 5707])).
% 3.34/3.57 tff(7681,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7682,plain,
% 3.34/3.57 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7683,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.34/3.57 inference(monotonicity,[status(thm)],[7682])).
% 3.34/3.57 tff(7684,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.57 inference(transitivity,[status(thm)],[7683, 7681])).
% 3.34/3.57 tff(7685,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.34/3.57 inference(quant_inst,[status(thm)],[])).
% 3.34/3.57 tff(7686,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.34/3.57 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 3.34/3.57 tff(7687,plain,
% 3.34/3.57 ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7686, 125, 203, 73, 4539])).
% 3.34/3.57 tff(7688,plain,
% 3.34/3.57 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7687, 5707])).
% 3.34/3.57 tff(7689,plain,
% 3.34/3.57 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[5705, 7688])).
% 3.34/3.57 tff(7690,plain,
% 3.34/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7691,plain,
% 3.34/3.57 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7692,plain,
% 3.34/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.34/3.57 inference(monotonicity,[status(thm)],[7691])).
% 3.34/3.57 tff(7693,plain,
% 3.34/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.57 inference(transitivity,[status(thm)],[7692, 7690])).
% 3.34/3.57 tff(7694,plain,
% 3.34/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.57 inference(quant_inst,[status(thm)],[])).
% 3.34/3.57 tff(7695,plain,
% 3.34/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.34/3.57 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 3.34/3.57 tff(7696,plain,
% 3.34/3.57 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7695, 91, 318, 7689, 923, 316])).
% 3.34/3.57 tff(7697,plain,
% 3.34/3.57 ($false),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[3164, 7696, 7680])).
% 3.34/3.57 tff(7698,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.57 tff(7699,plain,
% 3.34/3.57 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7698, 923, 318, 316, 203, 204, 73, 7663])).
% 3.34/3.57 tff(7700,plain,
% 3.34/3.57 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[5666, 7699])).
% 3.34/3.57 tff(7701,plain,
% 3.34/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7702,plain,
% 3.34/3.57 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7703,plain,
% 3.34/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.34/3.57 inference(monotonicity,[status(thm)],[7702])).
% 3.34/3.57 tff(7704,plain,
% 3.34/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.57 inference(transitivity,[status(thm)],[7703, 7701])).
% 3.34/3.57 tff(7705,plain,
% 3.34/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.34/3.57 inference(quant_inst,[status(thm)],[])).
% 3.34/3.57 tff(7706,plain,
% 3.34/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.34/3.57 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 3.34/3.57 tff(7707,plain,
% 3.34/3.57 ($false),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7706, 91, 7700, 923, 669, 7673, 7671])).
% 3.34/3.57 tff(7708,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(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)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.57 tff(7709,plain,
% 3.34/3.57 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7708, 7625, 7633, 316, 7635, 7577, 7627, 410, 544, 565, 7631, 411, 269, 178])).
% 3.34/3.57 tff(7710,plain,
% 3.34/3.57 (r(s(s(s(s(z)))), s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[938, 7709])).
% 3.34/3.57 tff(7711,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7712,plain,
% 3.34/3.57 (((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.34/3.57 inference(rewrite,[status(thm)],[])).
% 3.34/3.57 tff(7713,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))))),
% 3.34/3.57 inference(monotonicity,[status(thm)],[7712])).
% 3.34/3.57 tff(7714,plain,
% 3.34/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)))),
% 3.34/3.57 inference(transitivity,[status(thm)],[7713, 7711])).
% 3.34/3.57 tff(7715,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 3.34/3.57 inference(quant_inst,[status(thm)],[])).
% 3.34/3.57 tff(7716,plain,
% 3.34/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z))),
% 3.34/3.57 inference(modus_ponens,[status(thm)],[7715, 7714])).
% 3.34/3.57 tff(7717,plain,
% 3.34/3.57 ($false),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7716, 125, 3403, 3102, 544, 411, 1020])).
% 3.34/3.57 tff(7718,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.57 tff(7719,plain,
% 3.34/3.57 (~r(z, s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[7718, 7710, 544, 411, 7623])).
% 3.34/3.57 tff(7720,plain,
% 3.34/3.57 (b(z, s(s(z)))),
% 3.34/3.57 inference(unit_resolution,[status(thm)],[3400, 7719])).
% 3.34/3.57 tff(7721,plain,
% 3.34/3.57 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[6675, 91, 79, 178, 318, 316, 298])).
% 3.34/3.58 tff(7722,plain,
% 3.34/3.58 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[1313, 7721])).
% 3.34/3.58 tff(7723,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7724,plain,
% 3.34/3.58 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7725,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.34/3.58 inference(monotonicity,[status(thm)],[7724])).
% 3.34/3.58 tff(7726,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(transitivity,[status(thm)],[7725, 7723])).
% 3.34/3.58 tff(7727,plain,
% 3.34/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(quant_inst,[status(thm)],[])).
% 3.34/3.58 tff(7728,plain,
% 3.34/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.34/3.58 inference(modus_ponens,[status(thm)],[7727, 7726])).
% 3.34/3.58 tff(7729,plain,
% 3.34/3.58 ($false),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7728, 91, 924, 79, 178, 5653, 318, 298])).
% 3.34/3.58 tff(7730,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(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(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.58 tff(7731,plain,
% 3.34/3.58 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7730, 924, 79, 178, 318, 298])).
% 3.34/3.58 tff(7732,plain,
% 3.34/3.58 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[5666, 7731])).
% 3.34/3.58 tff(7733,plain,
% 3.34/3.58 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7151, 7732, 204, 7722, 3102])).
% 3.34/3.58 tff(7734,plain,
% 3.34/3.58 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[3164, 7733])).
% 3.34/3.58 tff(7735,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), 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(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7736,plain,
% 3.34/3.58 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7737,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.34/3.58 inference(monotonicity,[status(thm)],[7736])).
% 3.34/3.58 tff(7738,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.58 inference(transitivity,[status(thm)],[7737, 7735])).
% 3.34/3.58 tff(7739,plain,
% 3.34/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.34/3.58 inference(quant_inst,[status(thm)],[])).
% 3.34/3.58 tff(7740,plain,
% 3.34/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.34/3.58 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 3.34/3.58 tff(7741,plain,
% 3.34/3.58 ($false),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7740, 91, 3382, 924, 7734, 316])).
% 3.34/3.58 tff(7742,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(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(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.58 tff(7743,plain,
% 3.34/3.58 (~b(s(s(z)), z)),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7742, 7720, 316, 7577, 7710, 79, 178, 7633, 7629])).
% 3.34/3.58 tff(7744,plain,
% 3.34/3.58 (r(s(s(z)), z)),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[898, 7743])).
% 3.34/3.58 tff(7745,plain,
% 3.34/3.58 (~r(s(z), s(s(z)))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7651, 125, 7631, 411, 7744, 269])).
% 3.34/3.58 tff(7746,plain,
% 3.34/3.58 (b(s(z), s(s(z)))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[1004, 7745])).
% 3.34/3.58 tff(7747,plain,
% 3.34/3.58 (~r(z, s(z))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[5940, 7623, 544, 411])).
% 3.34/3.58 tff(7748,plain,
% 3.34/3.58 (b(z, s(z))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[267, 7747])).
% 3.34/3.58 tff(7749,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7750,plain,
% 3.34/3.58 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7751,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 3.34/3.58 inference(monotonicity,[status(thm)],[7750])).
% 3.34/3.58 tff(7752,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.34/3.58 inference(transitivity,[status(thm)],[7751, 7749])).
% 3.34/3.58 tff(7753,plain,
% 3.34/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 3.34/3.58 inference(quant_inst,[status(thm)],[])).
% 3.34/3.58 tff(7754,plain,
% 3.34/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 3.34/3.58 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 3.34/3.58 tff(7755,plain,
% 3.34/3.58 ($false),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7754, 91, 3382, 565, 429, 4925, 3451])).
% 3.34/3.58 tff(7756,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.58 tff(7757,plain,
% 3.34/3.58 (~b(s(s(z)), s(z))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7756, 7720, 565, 7748, 7746])).
% 3.34/3.58 tff(7758,plain,
% 3.34/3.58 (r(s(s(z)), s(z))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[857, 7757])).
% 3.34/3.58 tff(7759,plain,
% 3.34/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7760,plain,
% 3.34/3.58 (((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7761,plain,
% 3.34/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 3.34/3.58 inference(monotonicity,[status(thm)],[7760])).
% 3.34/3.58 tff(7762,plain,
% 3.34/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.34/3.58 inference(transitivity,[status(thm)],[7761, 7759])).
% 3.34/3.58 tff(7763,plain,
% 3.34/3.58 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.34/3.58 inference(quant_inst,[status(thm)],[])).
% 3.34/3.58 tff(7764,plain,
% 3.34/3.58 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 3.34/3.58 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 3.34/3.58 tff(7765,plain,
% 3.34/3.58 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7764, 125, 410, 7710, 7627, 7758])).
% 3.34/3.58 tff(7766,plain,
% 3.34/3.58 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[5101, 7765])).
% 3.34/3.58 tff(7767,plain,
% 3.34/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7768,plain,
% 3.34/3.58 (((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7769,plain,
% 3.34/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))))),
% 3.34/3.58 inference(monotonicity,[status(thm)],[7768])).
% 3.34/3.58 tff(7770,plain,
% 3.34/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.34/3.58 inference(transitivity,[status(thm)],[7769, 7767])).
% 3.34/3.58 tff(7771,plain,
% 3.34/3.58 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(quant_inst,[status(thm)],[])).
% 3.34/3.58 tff(7772,plain,
% 3.34/3.58 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))),
% 3.34/3.58 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 3.34/3.58 tff(7773,plain,
% 3.34/3.58 ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7772, 125, 410, 411, 7744])).
% 3.34/3.58 tff(7774,plain,
% 3.34/3.58 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[7773, 7758])).
% 3.34/3.58 tff(7775,plain,
% 3.34/3.58 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.34/3.58 inference(unit_resolution,[status(thm)],[5666, 7774])).
% 3.34/3.58 tff(7776,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7777,plain,
% 3.34/3.58 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(rewrite,[status(thm)],[])).
% 3.34/3.58 tff(7778,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.34/3.58 inference(monotonicity,[status(thm)],[7777])).
% 3.34/3.58 tff(7779,plain,
% 3.34/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.34/3.58 inference(transitivity,[status(thm)],[7778, 7776])).
% 3.34/3.58 tff(7780,plain,
% 3.34/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.34/3.58 inference(quant_inst,[status(thm)],[])).
% 3.34/3.59 tff(7781,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 3.34/3.59 tff(7782,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7781, 91, 7720, 79, 7775, 7766])).
% 3.34/3.59 tff(7783,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7784,plain,
% 3.34/3.59 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7783, 411, 79, 565, 269, 316, 178, 544])).
% 3.34/3.59 tff(7785,plain,
% 3.34/3.59 (b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[394, 7784])).
% 3.34/3.59 tff(7786,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.59 inference(rewrite,[status(thm)],[])).
% 3.34/3.59 tff(7787,plain,
% 3.34/3.59 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.59 inference(rewrite,[status(thm)],[])).
% 3.34/3.59 tff(7788,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.34/3.59 inference(monotonicity,[status(thm)],[7787])).
% 3.34/3.59 tff(7789,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.34/3.59 inference(transitivity,[status(thm)],[7788, 7786])).
% 3.34/3.59 tff(7790,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.59 inference(quant_inst,[status(thm)],[])).
% 3.34/3.59 tff(7791,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.34/3.59 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 3.34/3.59 tff(7792,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7791, 91, 7785, 565, 7603, 316, 7599, 7589])).
% 3.34/3.59 tff(7793,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7794,plain,
% 3.34/3.59 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7793, 411, 316, 544, 565, 79, 178, 269])).
% 3.34/3.59 tff(7795,plain,
% 3.34/3.59 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[336, 7794])).
% 3.34/3.59 tff(7796,plain,
% 3.34/3.59 (~b(s(s(s(s(z)))), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[326, 7795, 316, 178])).
% 3.34/3.59 tff(7797,plain,
% 3.34/3.59 (r(s(s(s(s(z)))), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[314, 7796])).
% 3.34/3.59 tff(7798,plain,
% 3.34/3.59 (~r(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[5940, 7797, 544, 411])).
% 3.34/3.59 tff(7799,plain,
% 3.34/3.59 (b(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[267, 7798])).
% 3.34/3.59 tff(7800,plain,
% 3.34/3.59 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6383, 115, 544, 79, 316, 411, 178, 7577, 7797, 216])).
% 3.34/3.59 tff(7801,plain,
% 3.34/3.59 (b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1093, 7800])).
% 3.34/3.59 tff(7802,plain,
% 3.34/3.59 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[5526, 7801, 79, 316])).
% 3.34/3.59 tff(7803,plain,
% 3.34/3.59 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1313, 7802])).
% 3.34/3.59 tff(7804,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7512, 125, 203, 216, 136, 269])).
% 3.34/3.59 tff(7805,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7806,plain,
% 3.34/3.59 (~r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7805, 7803, 269, 216])).
% 3.34/3.59 tff(7807,plain,
% 3.34/3.59 (b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[163, 7806])).
% 3.34/3.59 tff(7808,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.34/3.59 inference(rewrite,[status(thm)],[])).
% 3.34/3.59 tff(7809,plain,
% 3.34/3.59 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.34/3.59 inference(rewrite,[status(thm)],[])).
% 3.34/3.59 tff(7810,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))))),
% 3.34/3.59 inference(monotonicity,[status(thm)],[7809])).
% 3.34/3.59 tff(7811,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.34/3.59 inference(transitivity,[status(thm)],[7810, 7808])).
% 3.34/3.59 tff(7812,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))),
% 3.34/3.59 inference(quant_inst,[status(thm)],[])).
% 3.34/3.59 tff(7813,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))),
% 3.34/3.59 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 3.34/3.59 tff(7814,plain,
% 3.34/3.59 ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7813, 91])).
% 3.34/3.59 tff(7815,plain,
% 3.34/3.59 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7814, 7807, 178, 565, 79, 7799])).
% 3.34/3.59 tff(7816,plain,
% 3.34/3.59 (r(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[113, 7815])).
% 3.34/3.59 tff(7817,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6007, 125, 7816, 544, 411, 7797, 115])).
% 3.34/3.59 tff(7818,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7819,plain,
% 3.34/3.59 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7818, 216, 411, 178, 565, 79, 269, 544, 316])).
% 3.34/3.59 tff(7820,plain,
% 3.34/3.59 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[689, 7819])).
% 3.34/3.59 tff(7821,plain,
% 3.34/3.59 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[4060, 7820, 178, 79])).
% 3.34/3.59 tff(7822,plain,
% 3.34/3.59 (r(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[113, 7821])).
% 3.34/3.59 tff(7823,plain,
% 3.34/3.59 (~b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6302, 7820, 565, 7785])).
% 3.34/3.59 tff(7824,plain,
% 3.34/3.59 (r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[163, 7823])).
% 3.34/3.59 tff(7825,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7541, 7824, 7822, 411, 216, 269])).
% 3.34/3.59 tff(7826,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7827,plain,
% 3.34/3.59 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7826, 411, 269, 565, 178, 79, 544, 316])).
% 3.34/3.59 tff(7828,plain,
% 3.34/3.59 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[246, 7827])).
% 3.34/3.59 tff(7829,plain,
% 3.34/3.59 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[5970, 7828, 316, 79])).
% 3.34/3.59 tff(7830,plain,
% 3.34/3.59 (r(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[113, 7829])).
% 3.34/3.59 tff(7831,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6007, 125, 75, 544, 411, 1020, 115])).
% 3.34/3.59 tff(7832,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7833,plain,
% 3.34/3.59 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7832, 7830, 544, 411, 7797])).
% 3.34/3.59 tff(7834,plain,
% 3.34/3.59 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[689, 7833])).
% 3.34/3.59 tff(7835,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.59 inference(rewrite,[status(thm)],[])).
% 3.34/3.59 tff(7836,plain,
% 3.34/3.59 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.59 inference(rewrite,[status(thm)],[])).
% 3.34/3.59 tff(7837,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.34/3.59 inference(monotonicity,[status(thm)],[7836])).
% 3.34/3.59 tff(7838,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.34/3.59 inference(transitivity,[status(thm)],[7837, 7835])).
% 3.34/3.59 tff(7839,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.34/3.59 inference(quant_inst,[status(thm)],[])).
% 3.34/3.59 tff(7840,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.34/3.59 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 3.34/3.59 tff(7841,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7840, 91, 7785, 7799, 7795, 7834, 316, 7828])).
% 3.34/3.59 tff(7842,plain,((~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7843,plain,
% 3.34/3.59 (~r(s(z), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7842, 79, 544, 316, 269, 565, 178])).
% 3.34/3.59 tff(7844,plain,
% 3.34/3.59 (b(s(z), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[408, 7843])).
% 3.34/3.59 tff(7845,plain,
% 3.34/3.59 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6328, 81, 544, 79, 72, 178])).
% 3.34/3.59 tff(7846,plain,
% 3.34/3.59 (~b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[99, 81, 72, 79])).
% 3.34/3.59 tff(7847,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[394, 7846, 7845])).
% 3.34/3.59 tff(7848,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7849,plain,
% 3.34/3.59 (~b(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7848, 7844, 79, 544, 178])).
% 3.34/3.59 tff(7850,plain,
% 3.34/3.59 (r(z, s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[113, 7849])).
% 3.34/3.59 tff(7851,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[4101, 91, 565, 178, 74, 72])).
% 3.34/3.59 tff(7852,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7853,plain,
% 3.34/3.59 (~b(s(s(s(s(z)))), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7852, 7844, 178, 565])).
% 3.34/3.59 tff(7854,plain,
% 3.34/3.59 (r(s(s(s(s(z)))), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[314, 7853])).
% 3.34/3.59 tff(7855,plain,
% 3.34/3.59 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[5909, 115, 544, 7854, 7850])).
% 3.34/3.59 tff(7856,plain,
% 3.34/3.59 (b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[394, 7855])).
% 3.34/3.59 tff(7857,plain,
% 3.34/3.59 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[5526, 348, 79, 316])).
% 3.34/3.59 tff(7858,plain,
% 3.34/3.59 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1093, 7857])).
% 3.34/3.59 tff(7859,plain,
% 3.34/3.59 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6832, 7858, 268, 269])).
% 3.34/3.59 tff(7860,plain,
% 3.34/3.59 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[542, 7859])).
% 3.34/3.59 tff(7861,plain,
% 3.34/3.59 (~b(s(s(s(s(z)))), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7852, 72, 178, 565])).
% 3.34/3.59 tff(7862,plain,
% 3.34/3.59 (r(s(s(s(s(z)))), z)),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[314, 7861])).
% 3.34/3.59 tff(7863,plain,
% 3.34/3.59 (~r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1168, 348, 178, 72, 7862, 79, 115, 77, 316])).
% 3.34/3.59 tff(7864,plain,
% 3.34/3.59 (b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[163, 7863])).
% 3.34/3.59 tff(7865,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7441, 91, 77, 565, 7864, 348, 7860])).
% 3.34/3.59 tff(7866,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7867,plain,
% 3.34/3.59 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7866, 7856, 565, 269, 178, 7844, 79, 115, 316])).
% 3.34/3.59 tff(7868,plain,
% 3.34/3.59 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1313, 7867])).
% 3.34/3.59 tff(7869,plain,
% 3.34/3.59 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7464, 125, 7868, 544, 115, 269])).
% 3.34/3.59 tff(7870,plain,
% 3.34/3.59 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[336, 7869])).
% 3.34/3.59 tff(7871,plain,
% 3.34/3.59 (~b(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[253, 91, 7856, 79, 178, 7844])).
% 3.34/3.59 tff(7872,plain,
% 3.34/3.59 (r(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[267, 7871])).
% 3.34/3.59 tff(7873,plain,
% 3.34/3.59 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[276, 125, 7850, 7868, 7872, 269])).
% 3.34/3.59 tff(7874,plain,
% 3.34/3.59 (b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1093, 7873])).
% 3.34/3.59 tff(7875,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1259, 91, 178, 7874, 7870, 316])).
% 3.34/3.59 tff(7876,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7877,plain,
% 3.34/3.59 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7876, 79, 316, 544, 269, 565, 178])).
% 3.34/3.59 tff(7878,plain,
% 3.34/3.59 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[689, 7877])).
% 3.34/3.59 tff(7879,plain,
% 3.34/3.59 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6105, 7878, 178, 79])).
% 3.34/3.59 tff(7880,plain,
% 3.34/3.59 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[369, 7879])).
% 3.34/3.59 tff(7881,plain,
% 3.34/3.59 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7567, 410, 269, 544, 73])).
% 3.34/3.59 tff(7882,plain,
% 3.34/3.59 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[246, 7881])).
% 3.34/3.59 tff(7883,plain,
% 3.34/3.59 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6212, 7882, 316, 79])).
% 3.34/3.59 tff(7884,plain,
% 3.34/3.59 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1093, 7883])).
% 3.34/3.59 tff(7885,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6900, 125, 410, 75, 215, 270, 269])).
% 3.34/3.59 tff(7886,plain,((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7887,plain,
% 3.34/3.59 (~r(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7886, 410, 75, 7884, 269])).
% 3.34/3.59 tff(7888,plain,
% 3.34/3.59 (b(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[267, 7887])).
% 3.34/3.59 tff(7889,plain,
% 3.34/3.59 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[4121, 7888, 72, 316])).
% 3.34/3.59 tff(7890,plain,
% 3.34/3.59 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[542, 7889])).
% 3.34/3.59 tff(7891,plain,
% 3.34/3.59 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7597, 7890, 269, 544])).
% 3.34/3.59 tff(7892,plain,
% 3.34/3.59 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[336, 7891])).
% 3.34/3.59 tff(7893,plain,
% 3.34/3.59 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6057, 7892, 7882, 669])).
% 3.34/3.59 tff(7894,plain,
% 3.34/3.59 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[69, 7893])).
% 3.34/3.59 tff(7895,plain,
% 3.34/3.59 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6665, 7894, 544, 565, 410, 669, 7890])).
% 3.34/3.59 tff(7896,plain,
% 3.34/3.59 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1313, 7895])).
% 3.34/3.59 tff(7897,plain,
% 3.34/3.59 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.59 inference(rewrite,[status(thm)],[])).
% 3.34/3.59 tff(7898,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.34/3.59 inference(monotonicity,[status(thm)],[7897])).
% 3.34/3.59 tff(7899,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.59 inference(transitivity,[status(thm)],[7898, 4776])).
% 3.34/3.59 tff(7900,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.34/3.59 inference(quant_inst,[status(thm)],[])).
% 3.34/3.59 tff(7901,plain,
% 3.34/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.34/3.59 inference(modus_ponens,[status(thm)],[7900, 7899])).
% 3.34/3.59 tff(7902,plain,
% 3.34/3.59 ($false),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7901, 91, 7896, 7892, 669, 7882])).
% 3.34/3.59 tff(7903,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.34/3.59 tff(7904,plain,
% 3.34/3.59 (~r(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7903, 7878, 544, 565, 269, 7844, 316, 7850, 79, 7880])).
% 3.34/3.59 tff(7905,plain,
% 3.34/3.59 (b(s(s(s(s(s(z))))), s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[394, 7904])).
% 3.34/3.59 tff(7906,plain,
% 3.34/3.59 (~b(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[253, 91, 7905, 79, 178, 7844])).
% 3.34/3.59 tff(7907,plain,
% 3.34/3.59 (r(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[267, 7906])).
% 3.34/3.59 tff(7908,plain,
% 3.34/3.59 (~b(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6302, 7905, 565, 7878])).
% 3.34/3.59 tff(7909,plain,
% 3.34/3.59 (r(s(z), s(s(s(s(s(z))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[163, 7908])).
% 3.34/3.59 tff(7910,plain,
% 3.34/3.59 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[6938, 7599, 316, 7844])).
% 3.34/3.59 tff(7911,plain,
% 3.34/3.59 (r(z, s(s(s(s(s(s(z)))))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[1093, 7910])).
% 3.34/3.59 tff(7912,plain,
% 3.34/3.59 (~b(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[4121, 7599, 7844, 316])).
% 3.34/3.59 tff(7913,plain,
% 3.34/3.59 (r(z, s(z))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[267, 7912])).
% 3.34/3.59 tff(7914,plain,
% 3.34/3.59 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[7587, 347, 79, 316, 178, 216])).
% 3.34/3.59 tff(7915,plain,
% 3.34/3.59 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.34/3.59 inference(unit_resolution,[status(thm)],[69, 7914])).
% 3.34/3.59 tff(7916,plain,
% 3.34/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.60 tff(7917,plain,
% 3.44/3.60 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.60 tff(7918,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.44/3.60 inference(monotonicity,[status(thm)],[7917])).
% 3.44/3.60 tff(7919,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.60 inference(transitivity,[status(thm)],[7918, 7916])).
% 3.44/3.60 tff(7920,plain,
% 3.44/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))),
% 3.44/3.60 inference(quant_inst,[status(thm)],[])).
% 3.44/3.60 tff(7921,plain,
% 3.44/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.44/3.60 inference(modus_ponens,[status(thm)],[7920, 7919])).
% 3.44/3.60 tff(7922,plain,
% 3.44/3.60 ($false),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7921, 91, 76, 565, 79, 669, 72, 526])).
% 3.44/3.60 tff(7923,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.60 tff(7924,plain,
% 3.44/3.60 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7923, 7915, 565, 79, 7844, 7599])).
% 3.44/3.60 tff(7925,plain,
% 3.44/3.60 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[689, 7924])).
% 3.44/3.60 tff(7926,plain,
% 3.44/3.60 (~b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[99, 79, 72, 81])).
% 3.44/3.60 tff(7927,plain,
% 3.44/3.60 (r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[394, 7926])).
% 3.44/3.60 tff(7928,plain,
% 3.44/3.60 (~b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[6326, 91, 79, 81, 72])).
% 3.44/3.60 tff(7929,plain,
% 3.44/3.60 (r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[163, 7928])).
% 3.44/3.60 tff(7930,plain,
% 3.44/3.60 (~r(s(s(s(s(z)))), s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[698, 7929, 115, 7927])).
% 3.44/3.60 tff(7931,plain,
% 3.44/3.60 (b(s(s(s(s(z)))), s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[201, 7930])).
% 3.44/3.60 tff(7932,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.60 tff(7933,plain,
% 3.44/3.60 (((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.60 tff(7934,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.44/3.60 inference(monotonicity,[status(thm)],[7933])).
% 3.44/3.60 tff(7935,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.60 inference(transitivity,[status(thm)],[7934, 7932])).
% 3.44/3.60 tff(7936,plain,
% 3.44/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.60 inference(quant_inst,[status(thm)],[])).
% 3.44/3.60 tff(7937,plain,
% 3.44/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.44/3.60 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 3.44/3.60 tff(7938,plain,
% 3.44/3.60 ($false),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7937, 91, 76, 565, 177, 526])).
% 3.44/3.60 tff(7939,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.60 tff(7940,plain,
% 3.44/3.60 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7939, 7931, 565, 76])).
% 3.44/3.60 tff(7941,plain,
% 3.44/3.60 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[542, 7940])).
% 3.44/3.60 tff(7942,plain,
% 3.44/3.60 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[4882, 7941, 7927, 7929])).
% 3.44/3.60 tff(7943,plain,
% 3.44/3.60 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[1313, 7942])).
% 3.44/3.60 tff(7944,plain,
% 3.44/3.60 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[1081, 7943, 81, 79])).
% 3.44/3.60 tff(7945,plain,
% 3.44/3.60 (r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[1093, 7944])).
% 3.44/3.60 tff(7946,plain,
% 3.44/3.60 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.60 tff(7947,plain,
% 3.44/3.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 3.44/3.60 inference(monotonicity,[status(thm)],[7946])).
% 3.44/3.60 tff(7948,plain,
% 3.44/3.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.44/3.60 inference(transitivity,[status(thm)],[7947, 6825])).
% 3.44/3.60 tff(7949,plain,
% 3.44/3.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 3.44/3.60 inference(quant_inst,[status(thm)],[])).
% 3.44/3.60 tff(7950,plain,
% 3.44/3.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 3.44/3.60 inference(modus_ponens,[status(thm)],[7949, 7948])).
% 3.44/3.60 tff(7951,plain,
% 3.44/3.60 ($false),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7950, 125, 7945, 270, 7941, 269])).
% 3.44/3.60 tff(7952,plain,((~b(s(s(s(s(s(z))))), z)) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.60 tff(7953,plain,
% 3.44/3.60 (~b(z, s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7952, 7925, 269, 565, 79, 7915, 7913, 7844])).
% 3.44/3.60 tff(7954,plain,
% 3.44/3.60 (~r(z, s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[1146, 7925, 7854, 216, 347])).
% 3.44/3.60 tff(7955,plain,
% 3.44/3.60 ($false),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[113, 7954, 7953])).
% 3.44/3.60 tff(7956,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.60 tff(7957,plain,
% 3.44/3.60 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7956, 347, 269, 565, 79, 316, 178, 544])).
% 3.44/3.60 tff(7958,plain,
% 3.44/3.60 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[246, 7957])).
% 3.44/3.60 tff(7959,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.60 tff(7960,plain,
% 3.44/3.60 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.60 tff(7961,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.44/3.60 inference(monotonicity,[status(thm)],[7960])).
% 3.44/3.60 tff(7962,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.60 inference(transitivity,[status(thm)],[7961, 7959])).
% 3.44/3.60 tff(7963,plain,
% 3.44/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.44/3.60 inference(quant_inst,[status(thm)],[])).
% 3.44/3.60 tff(7964,plain,
% 3.44/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.44/3.60 inference(modus_ponens,[status(thm)],[7963, 7962])).
% 3.44/3.60 tff(7965,plain,
% 3.44/3.60 ($false),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7964, 91, 77, 565, 348, 669, 526, 298])).
% 3.44/3.60 tff(7966,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.60 tff(7967,plain,
% 3.44/3.60 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7966, 7599, 565, 7878, 7905, 7958])).
% 3.44/3.60 tff(7968,plain,
% 3.44/3.60 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[1313, 7967])).
% 3.44/3.60 tff(7969,plain,
% 3.44/3.60 ($false),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[276, 125, 7850, 7968, 7911, 7907, 269])).
% 3.44/3.60 tff(7970,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.60 tff(7971,plain,
% 3.44/3.60 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7970, 79, 565, 316, 269, 178, 544])).
% 3.44/3.60 tff(7972,plain,
% 3.44/3.60 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[336, 7971])).
% 3.44/3.60 tff(7973,plain,
% 3.44/3.60 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7233, 91, 7905, 7878, 7844, 316])).
% 3.44/3.60 tff(7974,plain,
% 3.44/3.60 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7973, 7972])).
% 3.44/3.60 tff(7975,plain,
% 3.44/3.60 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[1313, 7974])).
% 3.44/3.60 tff(7976,plain,
% 3.44/3.60 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7805, 7975, 269, 7909])).
% 3.44/3.60 tff(7977,plain,
% 3.44/3.60 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[246, 7976])).
% 3.44/3.60 tff(7978,plain,
% 3.44/3.60 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[6212, 7977, 316, 79])).
% 3.44/3.60 tff(7979,plain,
% 3.44/3.60 (r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[1093, 7978])).
% 3.44/3.60 tff(7980,plain,
% 3.44/3.60 ($false),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[276, 125, 7850, 7975, 7979, 7907, 269])).
% 3.44/3.60 tff(7981,plain,((~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.60 tff(7982,plain,
% 3.44/3.60 (~b(s(s(s(s(s(z))))), z)),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7981, 565, 316, 269, 178, 544])).
% 3.44/3.60 tff(7983,plain,
% 3.44/3.60 (r(s(s(s(s(s(z))))), z)),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[427, 7982])).
% 3.44/3.60 tff(7984,plain,
% 3.44/3.60 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[7611, 115, 269, 544, 410])).
% 3.44/3.60 tff(7985,plain,
% 3.44/3.60 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[336, 7984])).
% 3.44/3.60 tff(7986,plain,
% 3.44/3.60 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[698, 115, 544, 410])).
% 3.44/3.60 tff(7987,plain,
% 3.44/3.60 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[163, 7986])).
% 3.44/3.60 tff(7988,plain,
% 3.44/3.60 (~b(s(s(s(s(z)))), z)),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[326, 7985, 316, 178])).
% 3.44/3.60 tff(7989,plain,
% 3.44/3.60 (r(s(s(s(s(z)))), z)),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[314, 7988])).
% 3.44/3.60 tff(7990,plain,
% 3.44/3.60 (~r(z, s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[5891, 7989, 544, 7983, 115])).
% 3.44/3.60 tff(7991,plain,
% 3.44/3.60 (b(z, s(z))),
% 3.44/3.60 inference(unit_resolution,[status(thm)],[267, 7990])).
% 3.44/3.60 tff(7992,plain,
% 3.44/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.44/3.60 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(7993,plain,
% 3.44/3.61 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(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(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.44/3.61 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(7994,plain,
% 3.44/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))))),
% 3.44/3.61 inference(monotonicity,[status(thm)],[7993])).
% 3.44/3.61 tff(7995,plain,
% 3.44/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.44/3.61 inference(transitivity,[status(thm)],[7994, 7992])).
% 3.44/3.61 tff(7996,plain,
% 3.44/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 3.44/3.61 inference(quant_inst,[status(thm)],[])).
% 3.44/3.61 tff(7997,plain,
% 3.44/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))),
% 3.44/3.61 inference(modus_ponens,[status(thm)],[7996, 7995])).
% 3.44/3.61 tff(7998,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[7997, 91, 565, 429, 176, 178, 348, 318])).
% 3.44/3.61 tff(7999,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8000,plain,
% 3.44/3.61 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[7999, 7991, 178, 565, 7987, 7985])).
% 3.44/3.61 tff(8001,plain,
% 3.44/3.61 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[1313, 8000])).
% 3.44/3.61 tff(8002,plain,
% 3.44/3.61 (~r(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[5930, 7989, 544, 410, 115])).
% 3.44/3.61 tff(8003,plain,
% 3.44/3.61 (b(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[408, 8002])).
% 3.44/3.61 tff(8004,plain,
% 3.44/3.61 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[4121, 7991, 8003, 316])).
% 3.44/3.61 tff(8005,plain,
% 3.44/3.61 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[542, 8004])).
% 3.44/3.61 tff(8006,plain,
% 3.44/3.61 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[3299, 8005, 410, 115, 8001])).
% 3.44/3.61 tff(8007,plain,
% 3.44/3.61 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[4121, 429, 72, 316])).
% 3.44/3.61 tff(8008,plain,
% 3.44/3.61 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[542, 8007])).
% 3.44/3.61 tff(8009,plain,
% 3.44/3.61 (~b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6553, 429, 81, 72])).
% 3.44/3.61 tff(8010,plain,
% 3.44/3.61 (r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[394, 8009])).
% 3.44/3.61 tff(8011,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6788, 8010, 8008, 216, 269])).
% 3.44/3.61 tff(8012,plain,((~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8013,plain,
% 3.44/3.61 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8012, 8003, 269, 81, 7991, 316])).
% 3.44/3.61 tff(8014,plain,
% 3.44/3.61 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[246, 8013])).
% 3.44/3.61 tff(8015,plain,
% 3.44/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.44/3.61 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(8016,plain,
% 3.44/3.61 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.44/3.61 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(8017,plain,
% 3.44/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.44/3.61 inference(monotonicity,[status(thm)],[8016])).
% 3.44/3.61 tff(8018,plain,
% 3.44/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.44/3.61 inference(transitivity,[status(thm)],[8017, 8015])).
% 3.44/3.61 tff(8019,plain,
% 3.44/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))),
% 3.44/3.61 inference(quant_inst,[status(thm)],[])).
% 3.44/3.61 tff(8020,plain,
% 3.44/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(modus_ponens,[status(thm)],[8019, 8018])).
% 3.44/3.61 tff(8021,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8020, 91, 76, 565, 429, 81, 176, 298])).
% 3.44/3.61 tff(8022,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8023,plain,
% 3.44/3.61 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8022, 8014, 565, 81, 7987, 7991])).
% 3.44/3.61 tff(8024,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[69, 8023, 8006])).
% 3.44/3.61 tff(8025,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8026,plain,
% 3.44/3.61 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8025, 410, 81, 565, 269, 316, 178, 544])).
% 3.44/3.61 tff(8027,plain,
% 3.44/3.61 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[689, 8026])).
% 3.44/3.61 tff(8028,plain,
% 3.44/3.61 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[677, 8027, 178, 81])).
% 3.44/3.61 tff(8029,plain,
% 3.44/3.61 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[369, 8028])).
% 3.44/3.61 tff(8030,plain,
% 3.44/3.61 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[7567, 8029, 269, 544, 410])).
% 3.44/3.61 tff(8031,plain,
% 3.44/3.61 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[246, 8030])).
% 3.44/3.61 tff(8032,plain,
% 3.44/3.61 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[7597, 545, 269, 544])).
% 3.44/3.61 tff(8033,plain,
% 3.44/3.61 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[336, 8032])).
% 3.44/3.61 tff(8034,plain,
% 3.44/3.61 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6057, 8033, 298, 669])).
% 3.44/3.61 tff(8035,plain,
% 3.44/3.61 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[69, 8034])).
% 3.44/3.61 tff(8036,plain,
% 3.44/3.61 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[4243, 8035, 544, 73, 545])).
% 3.44/3.61 tff(8037,plain,
% 3.44/3.61 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[1313, 8036])).
% 3.44/3.61 tff(8038,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[4781, 91, 8037, 8033, 669, 298])).
% 3.44/3.61 tff(8039,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8040,plain,
% 3.44/3.61 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8039, 8027, 8031, 544, 8029, 269])).
% 3.44/3.61 tff(8041,plain,
% 3.44/3.61 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[542, 8040])).
% 3.44/3.61 tff(8042,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6686, 125, 410, 544, 411, 71, 73])).
% 3.44/3.61 tff(8043,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8044,plain,
% 3.44/3.61 (~r(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8043, 410, 544, 7983, 8029])).
% 3.44/3.61 tff(8045,plain,
% 3.44/3.61 (b(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[408, 8044])).
% 3.44/3.61 tff(8046,plain,
% 3.44/3.61 (~b(z, s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[4121, 8045, 8041, 316])).
% 3.44/3.61 tff(8047,plain,
% 3.44/3.61 (r(z, s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[267, 8046])).
% 3.44/3.61 tff(8048,plain,
% 3.44/3.61 (~b(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[7852, 74, 178, 565])).
% 3.44/3.61 tff(8049,plain,
% 3.44/3.61 (r(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[408, 8048])).
% 3.44/3.61 tff(8050,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[447, 8049, 6238, 71, 410])).
% 3.44/3.61 tff(8051,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8052,plain,
% 3.44/3.61 (~b(s(s(s(s(z)))), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8051, 410, 7983, 178, 565])).
% 3.44/3.61 tff(8053,plain,
% 3.44/3.61 (r(s(s(s(s(z)))), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[314, 8052])).
% 3.44/3.61 tff(8054,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[4165, 125, 410, 7983, 8053, 8047, 8029])).
% 3.44/3.61 tff(8055,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8056,plain,
% 3.44/3.61 (~r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8055, 81, 544, 269, 178, 565, 316])).
% 3.44/3.61 tff(8057,plain,
% 3.44/3.61 (b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[394, 8056])).
% 3.44/3.61 tff(8058,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[581, 91, 77, 565, 81, 178, 348, 316])).
% 3.44/3.61 tff(8059,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8060,plain,
% 3.44/3.61 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8059, 8057, 565, 81, 178, 316])).
% 3.44/3.61 tff(8061,plain,
% 3.44/3.61 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[1313, 8060])).
% 3.44/3.61 tff(8062,plain,
% 3.44/3.61 (~b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[5950, 429, 81, 77])).
% 3.44/3.61 tff(8063,plain,
% 3.44/3.61 (r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[163, 8062])).
% 3.44/3.61 tff(8064,plain,
% 3.44/3.61 (~b(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6553, 429, 81, 77])).
% 3.44/3.61 tff(8065,plain,
% 3.44/3.61 (r(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[408, 8064])).
% 3.44/3.61 tff(8066,plain,
% 3.44/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.44/3.61 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(8067,plain,
% 3.44/3.61 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.44/3.61 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(8068,plain,
% 3.44/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))))),
% 3.44/3.61 inference(monotonicity,[status(thm)],[8067])).
% 3.44/3.61 tff(8069,plain,
% 3.44/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 3.44/3.61 inference(transitivity,[status(thm)],[8068, 8066])).
% 3.44/3.61 tff(8070,plain,
% 3.44/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.44/3.61 inference(quant_inst,[status(thm)],[])).
% 3.44/3.61 tff(8071,plain,
% 3.44/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))),
% 3.44/3.61 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 3.44/3.61 tff(8072,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8071, 125, 203, 8065, 71, 8063, 269])).
% 3.44/3.61 tff(8073,plain,((~b(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8074,plain,
% 3.44/3.61 (~b(z, s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8073, 8061, 7983, 269, 81, 8057])).
% 3.44/3.61 tff(8075,plain,
% 3.44/3.61 (r(z, s(z))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[267, 8074])).
% 3.44/3.61 tff(8076,plain,
% 3.44/3.61 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8071, 125, 203, 8049, 7983, 269])).
% 3.44/3.61 tff(8077,plain,
% 3.44/3.61 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[163, 8076])).
% 3.44/3.61 tff(8078,plain,
% 3.44/3.61 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6302, 8077, 565, 77])).
% 3.44/3.61 tff(8079,plain,
% 3.44/3.61 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[689, 8078])).
% 3.44/3.61 tff(8080,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[7464, 125, 203, 544, 5384, 8079, 269])).
% 3.44/3.61 tff(8081,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8082,plain,
% 3.44/3.61 (~b(s(s(s(s(z)))), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8081, 8061, 544, 269, 565, 8057, 178, 316])).
% 3.44/3.61 tff(8083,plain,
% 3.44/3.61 (r(s(s(s(s(z)))), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[314, 8082])).
% 3.44/3.61 tff(8084,plain,
% 3.44/3.61 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[5891, 8083, 544, 7983, 8075])).
% 3.44/3.61 tff(8085,plain,
% 3.44/3.61 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[689, 8084])).
% 3.44/3.61 tff(8086,plain,
% 3.44/3.61 (~b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6302, 8085, 565, 8057])).
% 3.44/3.61 tff(8087,plain,
% 3.44/3.61 (r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[163, 8086])).
% 3.44/3.61 tff(8088,plain,
% 3.44/3.61 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[7805, 8087, 269, 8061])).
% 3.44/3.61 tff(8089,plain,
% 3.44/3.61 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[246, 8088])).
% 3.44/3.61 tff(8090,plain,
% 3.44/3.61 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[677, 8085, 178, 81])).
% 3.44/3.61 tff(8091,plain,
% 3.44/3.61 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[369, 8090])).
% 3.44/3.61 tff(8092,plain,
% 3.44/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.44/3.61 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(8093,plain,
% 3.44/3.61 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.44/3.61 inference(rewrite,[status(thm)],[])).
% 3.44/3.61 tff(8094,plain,
% 3.44/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 3.44/3.61 inference(monotonicity,[status(thm)],[8093])).
% 3.44/3.61 tff(8095,plain,
% 3.44/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.44/3.61 inference(transitivity,[status(thm)],[8094, 8092])).
% 3.44/3.61 tff(8096,plain,
% 3.44/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 3.44/3.61 inference(quant_inst,[status(thm)],[])).
% 3.44/3.61 tff(8097,plain,
% 3.44/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 3.44/3.61 inference(modus_ponens,[status(thm)],[8096, 8095])).
% 3.44/3.61 tff(8098,plain,
% 3.44/3.61 ($false),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8097, 125, 544, 1020, 270, 347, 269])).
% 3.44/3.61 tff(8099,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.61 tff(8100,plain,
% 3.44/3.61 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[8099, 8083, 544, 8075, 269])).
% 3.44/3.61 tff(8101,plain,
% 3.44/3.61 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[336, 8100])).
% 3.44/3.61 tff(8102,plain,
% 3.44/3.61 (~r(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[5940, 8083, 544, 8075])).
% 3.44/3.61 tff(8103,plain,
% 3.44/3.61 (b(s(z), z)),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[408, 8102])).
% 3.44/3.61 tff(8104,plain,
% 3.44/3.61 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[6057, 298, 318, 669])).
% 3.44/3.61 tff(8105,plain,
% 3.44/3.61 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[69, 8104])).
% 3.44/3.61 tff(8106,plain,
% 3.44/3.61 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[4652, 91, 77, 5653, 923, 669])).
% 3.44/3.61 tff(8107,plain,
% 3.44/3.61 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.44/3.61 inference(unit_resolution,[status(thm)],[5101, 8106])).
% 3.44/3.61 tff(8108,plain,
% 3.44/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8109,plain,
% 3.44/3.62 (((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8110,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))))),
% 3.44/3.62 inference(monotonicity,[status(thm)],[8109])).
% 3.44/3.62 tff(8111,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.44/3.62 inference(transitivity,[status(thm)],[8110, 8108])).
% 3.44/3.62 tff(8112,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.44/3.62 inference(quant_inst,[status(thm)],[])).
% 3.44/3.62 tff(8113,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 3.44/3.62 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 3.44/3.62 tff(8114,plain,
% 3.44/3.62 ($false),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8113, 125, 3403, 71, 836, 4830])).
% 3.44/3.62 tff(8115,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.62 tff(8116,plain,
% 3.44/3.62 (~r(z, s(s(z)))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8115, 8107, 836, 71])).
% 3.44/3.62 tff(8117,plain,
% 3.44/3.62 (b(z, s(s(z)))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[3400, 8116])).
% 3.44/3.62 tff(8118,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(s(z))))))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8119,plain,
% 3.44/3.62 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(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(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(s(z))))))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8120,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(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(X1, 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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(s(z)))))))))),
% 3.44/3.62 inference(monotonicity,[status(thm)],[8119])).
% 3.44/3.62 tff(8121,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(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(X1, 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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(s(z))))))))),
% 3.44/3.62 inference(transitivity,[status(thm)],[8120, 8118])).
% 3.44/3.62 tff(8122,plain,
% 3.44/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(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)))))))),
% 3.44/3.62 inference(quant_inst,[status(thm)],[])).
% 3.44/3.62 tff(8123,plain,
% 3.44/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.44/3.62 inference(modus_ponens,[status(thm)],[8122, 8121])).
% 3.44/3.62 tff(8124,plain,
% 3.44/3.62 ($false),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8123, 91, 8117, 178, 5653, 318, 923, 298])).
% 3.44/3.62 tff(8125,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.62 tff(8126,plain,
% 3.44/3.62 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8125, 836, 318, 923, 298, 178, 71, 77, 669])).
% 3.44/3.62 tff(8127,plain,
% 3.44/3.62 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[5666, 8126])).
% 3.44/3.62 tff(8128,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8129,plain,
% 3.44/3.62 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8130,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))))),
% 3.44/3.62 inference(monotonicity,[status(thm)],[8129])).
% 3.44/3.62 tff(8131,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 3.44/3.62 inference(transitivity,[status(thm)],[8130, 8128])).
% 3.44/3.62 tff(8132,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 3.44/3.62 inference(quant_inst,[status(thm)],[])).
% 3.44/3.62 tff(8133,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 3.44/3.62 inference(modus_ponens,[status(thm)],[8132, 8131])).
% 3.44/3.62 tff(8134,plain,
% 3.44/3.62 ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8133, 125, 71, 836, 7533])).
% 3.44/3.62 tff(8135,plain,
% 3.44/3.62 (~r(s(s(z)), s(z))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8134, 8127])).
% 3.44/3.62 tff(8136,plain,
% 3.44/3.62 (b(s(s(z)), s(z))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[857, 8135])).
% 3.44/3.62 tff(8137,plain,
% 3.44/3.62 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[7698, 8127, 318, 316, 203, 8105, 73, 923])).
% 3.44/3.62 tff(8138,plain,
% 3.44/3.62 (b(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[4476, 8137])).
% 3.44/3.62 tff(8139,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), 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(z), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), 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(z), z)) | (~b(s(s(z)), s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8140,plain,
% 3.44/3.62 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(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(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), 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(z), z)) | (~b(s(s(z)), s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8141,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(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(X1, 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(s(z)))))), 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(z), z)) | (~b(s(s(z)), s(z)))))),
% 3.44/3.62 inference(monotonicity,[status(thm)],[8140])).
% 3.44/3.62 tff(8142,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(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(X1, 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(s(z)))))), 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(z), z)) | (~b(s(s(z)), s(z))))),
% 3.44/3.62 inference(transitivity,[status(thm)],[8141, 8139])).
% 3.44/3.62 tff(8143,plain,
% 3.44/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(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))))),
% 3.44/3.62 inference(quant_inst,[status(thm)],[])).
% 3.44/3.62 tff(8144,plain,
% 3.44/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 3.44/3.62 inference(modus_ponens,[status(thm)],[8143, 8142])).
% 3.44/3.62 tff(8145,plain,
% 3.44/3.62 ($false),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8144, 91, 8138, 565, 318, 72, 316, 8136])).
% 3.44/3.62 tff(8146,plain,((~r(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.62 tff(8147,plain,
% 3.44/3.62 (~r(s(s(z)), z)),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8146, 923, 318, 72, 316, 71, 203, 73, 565, 298, 178, 77, 669])).
% 3.44/3.62 tff(8148,plain,
% 3.44/3.62 (b(s(s(z)), z)),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[898, 8147])).
% 3.44/3.62 tff(8149,plain,
% 3.44/3.62 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[7643, 8148, 178, 923])).
% 3.44/3.62 tff(8150,plain,
% 3.44/3.62 (r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[4476, 8149])).
% 3.44/3.62 tff(8151,plain,
% 3.44/3.62 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[7698, 8150, 318, 316, 203, 8105, 73, 923])).
% 3.44/3.62 tff(8152,plain,
% 3.44/3.62 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[5666, 8151])).
% 3.44/3.62 tff(8153,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8154,plain,
% 3.44/3.62 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8155,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z))))),
% 3.44/3.62 inference(monotonicity,[status(thm)],[8154])).
% 3.44/3.62 tff(8156,plain,
% 3.44/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.44/3.62 inference(transitivity,[status(thm)],[8155, 8153])).
% 3.44/3.62 tff(8157,plain,
% 3.44/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.44/3.62 inference(quant_inst,[status(thm)],[])).
% 3.44/3.62 tff(8158,plain,
% 3.44/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z))),
% 3.44/3.62 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 3.44/3.62 tff(8159,plain,
% 3.44/3.62 ($false),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8158, 91, 77, 8148, 8152, 923, 669, 72])).
% 3.44/3.62 tff(8160,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.62 tff(8161,plain,
% 3.44/3.62 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8160, 8057, 8085, 8103, 8101, 316, 8061, 8091, 178, 7983, 565, 8089])).
% 3.44/3.62 tff(8162,plain,
% 3.44/3.62 (r(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[938, 8161])).
% 3.44/3.62 tff(8163,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8164,plain,
% 3.44/3.62 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8165,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))))),
% 3.44/3.62 inference(monotonicity,[status(thm)],[8164])).
% 3.44/3.62 tff(8166,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))))),
% 3.44/3.62 inference(transitivity,[status(thm)],[8165, 8163])).
% 3.44/3.62 tff(8167,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 3.44/3.62 inference(quant_inst,[status(thm)],[])).
% 3.44/3.62 tff(8168,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z)))),
% 3.44/3.62 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 3.44/3.62 tff(8169,plain,
% 3.44/3.62 ($false),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8168, 125, 3102, 544, 1020, 270, 4499])).
% 3.44/3.62 tff(8170,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.62 tff(8171,plain,
% 3.44/3.62 (~r(s(z), s(s(z)))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[8170, 8162, 544, 8083, 8075])).
% 3.44/3.62 tff(8172,plain,
% 3.44/3.62 (b(s(z), s(s(z)))),
% 3.44/3.62 inference(unit_resolution,[status(thm)],[1004, 8171])).
% 3.44/3.62 tff(8173,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8174,plain,
% 3.44/3.62 (((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.44/3.62 inference(rewrite,[status(thm)],[])).
% 3.44/3.62 tff(8175,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 3.44/3.62 inference(monotonicity,[status(thm)],[8174])).
% 3.44/3.62 tff(8176,plain,
% 3.44/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.44/3.62 inference(transitivity,[status(thm)],[8175, 8173])).
% 3.44/3.62 tff(8177,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.44/3.62 inference(quant_inst,[status(thm)],[])).
% 3.44/3.62 tff(8178,plain,
% 3.44/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 3.44/3.63 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 3.44/3.63 tff(8179,plain,
% 3.44/3.63 ($false),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8178, 125, 3102, 544, 1020, 836, 270])).
% 3.44/3.63 tff(8180,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.63 tff(8181,plain,
% 3.44/3.63 (~r(s(s(z)), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8180, 8162, 544, 8083, 8075])).
% 3.44/3.63 tff(8182,plain,
% 3.44/3.63 (b(s(s(z)), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[898, 8181])).
% 3.44/3.63 tff(8183,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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)))))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8184,plain,
% 3.44/3.63 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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)))))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8185,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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))))))))),
% 3.44/3.63 inference(monotonicity,[status(thm)],[8184])).
% 3.44/3.63 tff(8186,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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)))))))),
% 3.44/3.63 inference(transitivity,[status(thm)],[8185, 8183])).
% 3.44/3.63 tff(8187,plain,
% 3.44/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), 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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 3.44/3.63 inference(quant_inst,[status(thm)],[])).
% 3.44/3.63 tff(8188,plain,
% 3.44/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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))))))),
% 3.44/3.63 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 3.44/3.63 tff(8189,plain,
% 3.44/3.63 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8188, 91, 8182, 565, 8101, 8172, 316])).
% 3.44/3.63 tff(8190,plain,
% 3.44/3.63 (r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[4476, 8189])).
% 3.44/3.63 tff(8191,plain,
% 3.44/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8192,plain,
% 3.44/3.63 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8193,plain,
% 3.44/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.44/3.63 inference(monotonicity,[status(thm)],[8192])).
% 3.44/3.63 tff(8194,plain,
% 3.44/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.44/3.63 inference(transitivity,[status(thm)],[8193, 8191])).
% 3.44/3.63 tff(8195,plain,
% 3.44/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.44/3.63 inference(quant_inst,[status(thm)],[])).
% 3.44/3.63 tff(8196,plain,
% 3.44/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.44/3.63 inference(modus_ponens,[status(thm)],[8195, 8194])).
% 3.44/3.63 tff(8197,plain,
% 3.44/3.63 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8196, 125, 7983, 8083, 8091, 8190])).
% 3.44/3.63 tff(8198,plain,
% 3.44/3.63 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[5101, 8197])).
% 3.44/3.63 tff(8199,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8200,plain,
% 3.44/3.63 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8201,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.44/3.63 inference(monotonicity,[status(thm)],[8200])).
% 3.44/3.63 tff(8202,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.44/3.63 inference(transitivity,[status(thm)],[8201, 8199])).
% 3.44/3.63 tff(8203,plain,
% 3.44/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.44/3.63 inference(quant_inst,[status(thm)],[])).
% 3.44/3.63 tff(8204,plain,
% 3.44/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.44/3.63 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 3.44/3.63 tff(8205,plain,
% 3.44/3.63 ($false),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8204, 91, 8057, 8182, 565, 178, 8172, 8198])).
% 3.44/3.63 tff(8206,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.63 tff(8207,plain,
% 3.44/3.63 (~b(z, s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8206, 565, 178, 316, 544, 269])).
% 3.44/3.63 tff(8208,plain,
% 3.44/3.63 (r(z, s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[113, 8207])).
% 3.44/3.63 tff(8209,plain,
% 3.44/3.63 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[5620, 411, 7983, 8208])).
% 3.44/3.63 tff(8210,plain,
% 3.44/3.63 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[163, 8209])).
% 3.44/3.63 tff(8211,plain,
% 3.44/3.63 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[7597, 5384, 269, 544])).
% 3.44/3.63 tff(8212,plain,
% 3.44/3.63 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[542, 8211])).
% 3.44/3.63 tff(8213,plain,
% 3.44/3.63 (~r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8051, 74, 7983, 178, 565])).
% 3.44/3.63 tff(8214,plain,
% 3.44/3.63 (b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[394, 8213])).
% 3.44/3.63 tff(8215,plain,
% 3.44/3.63 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8081, 8214, 544, 269, 565, 74, 178, 316])).
% 3.44/3.63 tff(8216,plain,
% 3.44/3.63 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[1313, 8215])).
% 3.44/3.63 tff(8217,plain,
% 3.44/3.63 ($false),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[7441, 91, 8214, 565, 176, 8216, 8212])).
% 3.44/3.63 tff(8218,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.63 tff(8219,plain,
% 3.44/3.63 (~b(s(s(s(s(z)))), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8218, 8210, 565, 544, 269, 178, 316])).
% 3.44/3.63 tff(8220,plain,
% 3.44/3.63 (r(s(s(s(s(z)))), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[314, 8219])).
% 3.44/3.63 tff(8221,plain,
% 3.44/3.63 (~r(z, s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[5940, 8220, 544, 411])).
% 3.44/3.63 tff(8222,plain,
% 3.44/3.63 (b(z, s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[267, 8221])).
% 3.44/3.63 tff(8223,plain,
% 3.44/3.63 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[1293, 8220, 7983, 8208])).
% 3.44/3.63 tff(8224,plain,
% 3.44/3.63 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[689, 8223])).
% 3.44/3.63 tff(8225,plain,
% 3.44/3.63 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[1114, 8224, 178, 565, 8222])).
% 3.44/3.63 tff(8226,plain,
% 3.44/3.63 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[369, 8225])).
% 3.44/3.63 tff(8227,plain,
% 3.44/3.63 (~b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[6302, 8224, 565, 8210])).
% 3.44/3.63 tff(8228,plain,
% 3.44/3.63 (r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[394, 8227])).
% 3.44/3.63 tff(8229,plain,
% 3.44/3.63 ($false),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8043, 8228, 8226, 544, 7983, 411])).
% 3.44/3.63 tff(8230,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.63 tff(8231,plain,
% 3.44/3.63 (~r(s(z), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8230, 565, 544, 178, 269, 316])).
% 3.44/3.63 tff(8232,plain,
% 3.44/3.63 (b(s(z), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[408, 8231])).
% 3.44/3.63 tff(8233,plain,
% 3.44/3.63 (~b(s(s(s(s(z)))), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[7852, 8232, 178, 565])).
% 3.44/3.63 tff(8234,plain,
% 3.44/3.63 (r(s(s(s(s(z)))), z)),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[314, 8233])).
% 3.44/3.63 tff(8235,plain,
% 3.44/3.63 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[1293, 8234, 7983, 8208])).
% 3.44/3.63 tff(8236,plain,
% 3.44/3.63 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[689, 8235])).
% 3.44/3.63 tff(8237,plain,
% 3.44/3.63 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[4121, 429, 8232, 316])).
% 3.44/3.63 tff(8238,plain,
% 3.44/3.63 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[542, 8237])).
% 3.44/3.63 tff(8239,plain,
% 3.44/3.63 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[6788, 8238, 269, 410])).
% 3.44/3.63 tff(8240,plain,
% 3.44/3.63 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[1114, 429, 178, 565, 8236])).
% 3.44/3.63 tff(8241,plain,
% 3.44/3.63 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[369, 8240])).
% 3.44/3.63 tff(8242,plain,
% 3.44/3.63 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8039, 8238, 8236, 544, 8241, 269])).
% 3.44/3.63 tff(8243,plain,
% 3.44/3.63 ($false),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[246, 8242, 8239])).
% 3.44/3.63 tff(8244,plain,((~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.63 tff(8245,plain,
% 3.44/3.63 (~b(z, s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8244, 410, 269, 544, 178, 565, 316])).
% 3.44/3.63 tff(8246,plain,
% 3.44/3.63 (r(z, s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[267, 8245])).
% 3.44/3.63 tff(8247,plain,
% 3.44/3.63 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[6280, 8246, 178, 565, 410, 8236])).
% 3.44/3.63 tff(8248,plain,
% 3.44/3.63 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[369, 8247])).
% 3.44/3.63 tff(8249,plain,
% 3.44/3.63 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[7886, 8246, 8208, 410, 269])).
% 3.44/3.63 tff(8250,plain,
% 3.44/3.63 (b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[1093, 8249])).
% 3.44/3.63 tff(8251,plain,
% 3.44/3.63 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[6938, 8250, 316, 8232])).
% 3.44/3.63 tff(8252,plain,
% 3.44/3.63 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[542, 8251])).
% 3.44/3.63 tff(8253,plain,
% 3.44/3.63 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[7567, 8248, 269, 544, 410])).
% 3.44/3.63 tff(8254,plain,
% 3.44/3.63 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[246, 8253])).
% 3.44/3.63 tff(8255,plain,
% 3.44/3.63 ($false),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8039, 8254, 8252, 8236, 544, 8248, 269])).
% 3.44/3.63 tff(8256,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.63 tff(8257,plain,
% 3.44/3.63 (~r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8256, 565, 269, 316, 178, 544])).
% 3.44/3.63 tff(8258,plain,
% 3.44/3.63 (b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[394, 8257])).
% 3.44/3.63 tff(8259,plain,
% 3.44/3.63 (~b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[6302, 8258, 565, 8236])).
% 3.44/3.63 tff(8260,plain,
% 3.44/3.63 (r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[163, 8259])).
% 3.44/3.63 tff(8261,plain,
% 3.44/3.63 (~r(z, s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8099, 347, 544, 1020, 269])).
% 3.44/3.63 tff(8262,plain,
% 3.44/3.63 (b(z, s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[267, 8261])).
% 3.44/3.63 tff(8263,plain,
% 3.44/3.63 ($false),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[4121, 8262, 7599, 72, 316])).
% 3.44/3.63 tff(8264,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.63 tff(8265,plain,
% 3.44/3.63 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8264, 8232, 316, 544, 8234, 269])).
% 3.44/3.63 tff(8266,plain,
% 3.44/3.63 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[336, 8265])).
% 3.44/3.63 tff(8267,plain,
% 3.44/3.63 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[7233, 91, 8258, 8266, 8236, 8232, 316])).
% 3.44/3.63 tff(8268,plain,
% 3.44/3.63 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[1313, 8267])).
% 3.44/3.63 tff(8269,plain,
% 3.44/3.63 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[7805, 8268, 269, 8260])).
% 3.44/3.63 tff(8270,plain,
% 3.44/3.63 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[246, 8269])).
% 3.44/3.63 tff(8271,plain,
% 3.44/3.63 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[6057, 8270, 8266, 8236])).
% 3.44/3.63 tff(8272,plain,
% 3.44/3.63 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[69, 8271])).
% 3.44/3.63 tff(8273,plain,
% 3.44/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8274,plain,
% 3.44/3.63 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8275,plain,
% 3.44/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.44/3.63 inference(monotonicity,[status(thm)],[8274])).
% 3.44/3.63 tff(8276,plain,
% 3.44/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.63 inference(transitivity,[status(thm)],[8275, 8273])).
% 3.44/3.63 tff(8277,plain,
% 3.44/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.44/3.63 inference(quant_inst,[status(thm)],[])).
% 3.44/3.63 tff(8278,plain,
% 3.44/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.44/3.63 inference(modus_ponens,[status(thm)],[8277, 8276])).
% 3.44/3.63 tff(8279,plain,
% 3.44/3.63 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[8278, 125, 8268, 8272, 544, 8260])).
% 3.44/3.63 tff(8280,plain,
% 3.44/3.63 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.63 inference(unit_resolution,[status(thm)],[542, 8279])).
% 3.44/3.63 tff(8281,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8282,plain,
% 3.44/3.63 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.44/3.63 inference(rewrite,[status(thm)],[])).
% 3.44/3.63 tff(8283,plain,
% 3.44/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.44/3.64 inference(monotonicity,[status(thm)],[8282])).
% 3.44/3.64 tff(8284,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.44/3.64 inference(transitivity,[status(thm)],[8283, 8281])).
% 3.44/3.64 tff(8285,plain,
% 3.44/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 3.44/3.64 inference(quant_inst,[status(thm)],[])).
% 3.44/3.64 tff(8286,plain,
% 3.44/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.44/3.64 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 3.44/3.64 tff(8287,plain,
% 3.44/3.64 ($false),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8286, 91, 565, 429, 178, 318, 72, 316])).
% 3.44/3.64 tff(8288,plain,((~b(z, 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(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.64 tff(8289,plain,
% 3.44/3.64 (~b(z, s(z))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8288, 565, 178, 8266, 8232, 316])).
% 3.44/3.64 tff(8290,plain,
% 3.44/3.64 (r(z, s(z))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[267, 8289])).
% 3.44/3.64 tff(8291,plain,
% 3.44/3.64 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[276, 125, 8208, 8268, 8290, 269])).
% 3.44/3.64 tff(8292,plain,
% 3.44/3.64 (b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[1093, 8291])).
% 3.44/3.64 tff(8293,plain,
% 3.44/3.64 ($false),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[6938, 8292, 8280, 316, 8232])).
% 3.44/3.64 tff(8294,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.64 tff(8295,plain,
% 3.44/3.64 (~b(s(z), s(s(s(s(z)))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8294, 269, 316, 544, 178])).
% 3.44/3.64 tff(8296,plain,
% 3.44/3.64 (r(s(z), s(s(s(s(z)))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[563, 8295])).
% 3.44/3.64 tff(8297,plain,
% 3.44/3.64 ($false),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[6914, 5606, 5384, 135, 269])).
% 3.44/3.64 tff(8298,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.64 tff(8299,plain,
% 3.44/3.64 (~b(s(s(s(s(z)))), z)),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8298, 8296, 269, 178, 316])).
% 3.44/3.64 tff(8300,plain,
% 3.44/3.64 (r(s(s(s(s(z)))), z)),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[314, 8299])).
% 3.44/3.64 tff(8301,plain,
% 3.44/3.64 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[1060, 347, 544, 411, 8300])).
% 3.44/3.64 tff(8302,plain,
% 3.44/3.64 (b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[1093, 8301])).
% 3.44/3.64 tff(8303,plain,
% 3.44/3.64 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[6914, 347, 8296, 269])).
% 3.44/3.64 tff(8304,plain,
% 3.44/3.64 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[69, 8303])).
% 3.44/3.64 tff(8305,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8306,plain,
% 3.44/3.64 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8307,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.44/3.64 inference(monotonicity,[status(thm)],[8306])).
% 3.44/3.64 tff(8308,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.44/3.64 inference(transitivity,[status(thm)],[8307, 8305])).
% 3.44/3.64 tff(8309,plain,
% 3.44/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.44/3.64 inference(quant_inst,[status(thm)],[])).
% 3.44/3.64 tff(8310,plain,
% 3.44/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.44/3.64 inference(modus_ponens,[status(thm)],[8309, 8308])).
% 3.44/3.64 tff(8311,plain,
% 3.44/3.64 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8310, 91, 924, 1073, 316])).
% 3.44/3.64 tff(8312,plain,
% 3.44/3.64 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[3164, 8311])).
% 3.44/3.64 tff(8313,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8314,plain,
% 3.44/3.64 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8315,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.44/3.64 inference(monotonicity,[status(thm)],[8314])).
% 3.44/3.64 tff(8316,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.44/3.64 inference(transitivity,[status(thm)],[8315, 8313])).
% 3.44/3.64 tff(8317,plain,
% 3.44/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.44/3.64 inference(quant_inst,[status(thm)],[])).
% 3.44/3.64 tff(8318,plain,
% 3.44/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.44/3.64 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 3.44/3.64 tff(8319,plain,
% 3.44/3.64 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8318, 91, 924, 76, 1073, 316])).
% 3.44/3.64 tff(8320,plain,
% 3.44/3.64 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[5705, 8319])).
% 3.44/3.64 tff(8321,plain,
% 3.44/3.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), 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(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), 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(s(s(z)))))), s(s(z)))))),
% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8322,plain,
% 3.44/3.64 (((~r(s(s(z)), 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(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(z))))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), 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(s(s(z)))))), s(s(z)))))),
% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8323,plain,
% 3.44/3.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(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(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), 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(s(s(z)))))), s(s(z))))))),
% 3.44/3.64 inference(monotonicity,[status(thm)],[8322])).
% 3.44/3.64 tff(8324,plain,
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% 3.44/3.64 inference(transitivity,[status(thm)],[8323, 8321])).
% 3.44/3.64 tff(8325,plain,
% 3.44/3.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(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(z)))))))))),
% 3.44/3.64 inference(quant_inst,[status(thm)],[])).
% 3.44/3.64 tff(8326,plain,
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% 3.44/3.64 inference(modus_ponens,[status(thm)],[8325, 8324])).
% 3.44/3.64 tff(8327,plain,
% 3.44/3.64 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8326, 125, 347, 8320, 8312])).
% 3.44/3.64 tff(8328,plain,
% 3.44/3.64 (b(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[938, 8327])).
% 3.44/3.64 tff(8329,plain,
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% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8330,plain,
% 3.44/3.64 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.44/3.64 inference(rewrite,[status(thm)],[])).
% 3.44/3.64 tff(8331,plain,
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% 3.44/3.64 inference(monotonicity,[status(thm)],[8330])).
% 3.44/3.64 tff(8332,plain,
% 3.44/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.44/3.64 inference(transitivity,[status(thm)],[8331, 8329])).
% 3.44/3.64 tff(8333,plain,
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% 3.44/3.64 inference(quant_inst,[status(thm)],[])).
% 3.44/3.64 tff(8334,plain,
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% 3.44/3.64 inference(modus_ponens,[status(thm)],[8333, 8332])).
% 3.44/3.64 tff(8335,plain,
% 3.44/3.64 ($false),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8334, 91, 924, 76, 178, 1073, 8328, 316])).
% 3.44/3.64 tff(8336,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.64 tff(8337,plain,
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% 3.44/3.64 tff(8338,plain,
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% 3.44/3.64 tff(8340,plain,
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% 3.44/3.64 inference(unit_resolution,[status(thm)],[113, 8339])).
% 3.44/3.64 tff(8341,plain,
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% 3.44/3.64 tff(8342,plain,
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% 3.44/3.64 inference(unit_resolution,[status(thm)],[267, 8341])).
% 3.44/3.64 tff(8343,plain,
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% 3.44/3.64 inference(unit_resolution,[status(thm)],[5930, 115, 544, 1020, 411])).
% 3.44/3.64 tff(8344,plain,
% 3.44/3.64 (b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[394, 8343])).
% 3.44/3.64 tff(8345,plain,
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% 3.44/3.64 tff(8346,plain,
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% 3.44/3.64 tff(8347,plain,
% 3.44/3.64 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 3.44/3.64 tff(8348,plain,
% 3.44/3.64 (~b(s(z), s(s(s(s(s(z))))))),
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% 3.44/3.64 tff(8349,plain,
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% 3.44/3.64 tff(8350,plain,
% 3.44/3.64 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[7514, 8346, 316, 269, 8340, 8349])).
% 3.44/3.64 tff(8351,plain,
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% 3.44/3.64 tff(8352,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.64 tff(8353,plain,
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% 3.44/3.64 tff(8354,plain,
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% 3.44/3.64 tff(8355,plain,
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% 3.44/3.64 tff(8356,plain,
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% 3.44/3.64 tff(8359,plain,
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% 3.44/3.64 inference(unit_resolution,[status(thm)],[6800, 8358, 8296, 8300, 316, 178, 411, 8354, 410])).
% 3.44/3.64 tff(8360,plain,
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% 3.44/3.64 inference(unit_resolution,[status(thm)],[542, 8359])).
% 3.44/3.64 tff(8361,plain,
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% 3.44/3.64 tff(8362,plain,
% 3.44/3.64 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[336, 8361])).
% 3.44/3.64 tff(8363,plain,
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% 3.44/3.64 inference(unit_resolution,[status(thm)],[553, 8360, 544, 8296])).
% 3.44/3.64 tff(8364,plain,
% 3.44/3.64 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[69, 8363])).
% 3.44/3.64 tff(8365,plain,
% 3.44/3.64 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[6788, 8360, 269, 410])).
% 3.44/3.64 tff(8366,plain,
% 3.44/3.64 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[246, 8365])).
% 3.44/3.64 tff(8367,plain,
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% 3.44/3.64 tff(8369,plain,
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% 3.44/3.64 tff(8370,plain,
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% 3.44/3.64 tff(8388,plain,
% 3.44/3.64 (r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[4476, 8387])).
% 3.44/3.64 tff(8389,plain,
% 3.44/3.64 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[5636, 125, 544, 411, 836])).
% 3.44/3.64 tff(8390,plain,
% 3.44/3.64 (~r(s(s(z)), s(z))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[8389, 8388])).
% 3.44/3.64 tff(8391,plain,
% 3.44/3.64 (b(s(s(z)), s(z))),
% 3.44/3.64 inference(unit_resolution,[status(thm)],[857, 8390])).
% 3.44/3.64 tff(8392,plain,
% 3.44/3.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8393,plain,
% 3.44/3.65 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8394,plain,
% 3.44/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.44/3.65 inference(monotonicity,[status(thm)],[8393])).
% 3.44/3.65 tff(8395,plain,
% 3.44/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.65 inference(transitivity,[status(thm)],[8394, 8392])).
% 3.44/3.65 tff(8396,plain,
% 3.44/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.65 inference(quant_inst,[status(thm)],[])).
% 3.44/3.65 tff(8397,plain,
% 3.44/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.44/3.65 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 3.44/3.65 tff(8398,plain,
% 3.44/3.65 (~r(s(z), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8397, 125, 135, 347, 8388, 269])).
% 3.44/3.65 tff(8399,plain,
% 3.44/3.65 (b(s(z), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[1004, 8398])).
% 3.44/3.65 tff(8400,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8401,plain,
% 3.44/3.65 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8402,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))))),
% 3.44/3.65 inference(monotonicity,[status(thm)],[8401])).
% 3.44/3.65 tff(8403,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.44/3.65 inference(transitivity,[status(thm)],[8402, 8400])).
% 3.44/3.65 tff(8404,plain,
% 3.44/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.44/3.65 inference(quant_inst,[status(thm)],[])).
% 3.44/3.65 tff(8405,plain,
% 3.44/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))),
% 3.44/3.65 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 3.44/3.65 tff(8406,plain,
% 3.44/3.65 ($false),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8405, 91, 77, 8386, 8399, 8391])).
% 3.44/3.65 tff(8407,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.65 tff(8408,plain,
% 3.44/3.65 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8407, 347, 8296, 8370, 269, 544, 411, 8338, 8300, 316])).
% 3.44/3.65 tff(8409,plain,
% 3.44/3.65 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[1313, 8408])).
% 3.44/3.65 tff(8410,plain,
% 3.44/3.65 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[6890, 8409, 269, 8296, 347])).
% 3.44/3.65 tff(8411,plain,
% 3.44/3.65 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[163, 8410])).
% 3.44/3.65 tff(8412,plain,
% 3.44/3.65 (~r(z, s(z))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[5940, 411, 544, 8300])).
% 3.44/3.65 tff(8413,plain,
% 3.44/3.65 (b(z, s(z))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[267, 8412])).
% 3.44/3.65 tff(8414,plain,
% 3.44/3.65 (~b(z, s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[5950, 8411, 8413, 8370])).
% 3.44/3.65 tff(8415,plain,
% 3.44/3.65 (r(z, s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[113, 8414])).
% 3.44/3.65 tff(8416,plain,
% 3.44/3.65 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[1124, 75, 8296, 8300, 411])).
% 3.44/3.65 tff(8417,plain,
% 3.44/3.65 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[163, 8416])).
% 3.44/3.65 tff(8418,plain,
% 3.44/3.65 (~r(z, s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[7718, 3102, 544, 411, 1020])).
% 3.44/3.65 tff(8419,plain,
% 3.44/3.65 (b(z, s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[3400, 8418])).
% 3.44/3.65 tff(8420,plain,
% 3.44/3.65 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[5661, 4456, 77, 669, 176])).
% 3.44/3.65 tff(8421,plain,
% 3.44/3.65 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[5666, 8420])).
% 3.44/3.65 tff(8422,plain,
% 3.44/3.65 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[5715, 8421, 216, 203])).
% 3.44/3.65 tff(8423,plain,
% 3.44/3.65 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[5705, 8422])).
% 3.44/3.65 tff(8424,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8425,plain,
% 3.44/3.65 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8426,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 3.44/3.65 inference(monotonicity,[status(thm)],[8425])).
% 3.44/3.65 tff(8427,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.44/3.65 inference(transitivity,[status(thm)],[8426, 8424])).
% 3.44/3.65 tff(8428,plain,
% 3.44/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))),
% 3.44/3.65 inference(quant_inst,[status(thm)],[])).
% 3.44/3.65 tff(8429,plain,
% 3.44/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.44/3.65 inference(modus_ponens,[status(thm)],[8428, 8427])).
% 3.44/3.65 tff(8430,plain,
% 3.44/3.65 ($false),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8429, 91, 3382, 4456, 178, 1073, 8423, 316])).
% 3.44/3.65 tff(8431,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.65 tff(8432,plain,
% 3.44/3.65 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8431, 8419, 178, 1073, 316, 216, 203, 77, 669, 176])).
% 3.44/3.65 tff(8433,plain,
% 3.44/3.65 (r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[4476, 8432])).
% 3.44/3.65 tff(8434,plain,
% 3.44/3.65 (~r(s(s(z)), s(z))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8389, 8433])).
% 3.44/3.65 tff(8435,plain,
% 3.44/3.65 (b(s(s(z)), s(z))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[857, 8434])).
% 3.44/3.65 tff(8436,plain,
% 3.44/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8437,plain,
% 3.44/3.65 (((~r(s(s(z)), z)) | (~r(s(z), z)) | (~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(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8438,plain,
% 3.44/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.44/3.65 inference(monotonicity,[status(thm)],[8437])).
% 3.44/3.65 tff(8439,plain,
% 3.44/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.65 inference(transitivity,[status(thm)],[8438, 8436])).
% 3.44/3.65 tff(8440,plain,
% 3.44/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.44/3.65 inference(quant_inst,[status(thm)],[])).
% 3.44/3.65 tff(8441,plain,
% 3.44/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.44/3.65 inference(modus_ponens,[status(thm)],[8440, 8439])).
% 3.44/3.65 tff(8442,plain,
% 3.44/3.65 (~r(s(z), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8441, 125, 3102, 135, 411, 836])).
% 3.44/3.65 tff(8443,plain,
% 3.44/3.65 (b(s(z), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[1004, 8442])).
% 3.44/3.65 tff(8444,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8445,plain,
% 3.44/3.65 (((~b(s(z), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z)))) <=> ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8446,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 3.44/3.65 inference(monotonicity,[status(thm)],[8445])).
% 3.44/3.65 tff(8447,plain,
% 3.44/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.44/3.65 inference(transitivity,[status(thm)],[8446, 8444])).
% 3.44/3.65 tff(8448,plain,
% 3.44/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 3.44/3.65 inference(quant_inst,[status(thm)],[])).
% 3.44/3.65 tff(8449,plain,
% 3.44/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 3.44/3.65 inference(modus_ponens,[status(thm)],[8448, 8447])).
% 3.44/3.65 tff(8450,plain,
% 3.44/3.65 ($false),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8449, 91, 8419, 8342, 8443, 8435])).
% 3.44/3.65 tff(8451,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.65 tff(8452,plain,
% 3.44/3.65 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8451, 836, 411, 544, 178, 8302, 316, 216, 203, 8370, 8354, 8417, 8296, 8300])).
% 3.44/3.65 tff(8453,plain,
% 3.44/3.65 (b(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[938, 8452])).
% 3.44/3.65 tff(8454,plain,
% 3.44/3.65 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[4464, 8453, 178, 8304, 316])).
% 3.44/3.65 tff(8455,plain,
% 3.44/3.65 (r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[4476, 8454])).
% 3.44/3.65 tff(8456,plain,
% 3.44/3.65 (~r(s(s(z)), s(z))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8389, 8455])).
% 3.44/3.65 tff(8457,plain,
% 3.44/3.65 (b(s(s(z)), s(z))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[857, 8456])).
% 3.44/3.65 tff(8458,plain,
% 3.44/3.65 (~r(s(z), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8397, 125, 8296, 347, 8455, 269])).
% 3.44/3.65 tff(8459,plain,
% 3.44/3.65 (b(s(z), s(s(z)))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[1004, 8458])).
% 3.44/3.65 tff(8460,plain,
% 3.44/3.65 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[8405, 91, 8370, 8459, 8457])).
% 3.44/3.65 tff(8461,plain,
% 3.44/3.65 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.65 inference(unit_resolution,[status(thm)],[5666, 8460])).
% 3.44/3.65 tff(8462,plain,
% 3.44/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8463,plain,
% 3.44/3.65 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.44/3.65 inference(rewrite,[status(thm)],[])).
% 3.44/3.65 tff(8464,plain,
% 3.44/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.44/3.66 inference(monotonicity,[status(thm)],[8463])).
% 3.44/3.66 tff(8465,plain,
% 3.44/3.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.44/3.66 inference(transitivity,[status(thm)],[8464, 8462])).
% 3.44/3.66 tff(8466,plain,
% 3.44/3.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.44/3.66 inference(quant_inst,[status(thm)],[])).
% 3.44/3.66 tff(8467,plain,
% 3.44/3.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 3.44/3.66 tff(8468,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8467, 125, 75, 8300, 836, 8455, 8461])).
% 3.44/3.66 tff(8469,plain,((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8470,plain,
% 3.44/3.66 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8469, 8415, 347, 269, 544, 411, 178, 316, 8338, 8409])).
% 3.44/3.66 tff(8471,plain,
% 3.44/3.66 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[246, 8470])).
% 3.44/3.66 tff(8472,plain,
% 3.44/3.66 (~b(s(s(s(s(s(z))))), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[6212, 8471, 316, 8302])).
% 3.44/3.66 tff(8473,plain,
% 3.44/3.66 (r(s(s(s(s(s(z))))), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[427, 8472])).
% 3.44/3.66 tff(8474,plain,
% 3.44/3.66 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[7371, 8473, 8338, 8415])).
% 3.44/3.66 tff(8475,plain,
% 3.44/3.66 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[5666, 8474])).
% 3.44/3.66 tff(8476,plain,
% 3.44/3.66 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[5661, 8475, 8370, 8354, 8411])).
% 3.44/3.66 tff(8477,plain,
% 3.44/3.66 (r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[4476, 8476])).
% 3.44/3.66 tff(8478,plain,
% 3.44/3.66 (~r(s(z), s(s(z)))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8397, 125, 8296, 347, 8477, 269])).
% 3.44/3.66 tff(8479,plain,
% 3.44/3.66 (b(s(z), s(s(z)))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[1004, 8478])).
% 3.44/3.66 tff(8480,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8481,plain,
% 3.44/3.66 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8482,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.44/3.66 inference(monotonicity,[status(thm)],[8481])).
% 3.44/3.66 tff(8483,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.44/3.66 inference(transitivity,[status(thm)],[8482, 8480])).
% 3.44/3.66 tff(8484,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))))),
% 3.44/3.66 inference(quant_inst,[status(thm)],[])).
% 3.44/3.66 tff(8485,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(modus_ponens,[status(thm)],[8484, 8483])).
% 3.44/3.66 tff(8486,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8485, 91, 8370, 8411, 8475, 8479])).
% 3.44/3.66 tff(8487,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8488,plain,
% 3.44/3.66 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8487, 411, 316, 544, 269, 178])).
% 3.44/3.66 tff(8489,plain,
% 3.44/3.66 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[336, 8488])).
% 3.44/3.66 tff(8490,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[5873, 91, 76, 178, 318, 316])).
% 3.44/3.66 tff(8491,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8492,plain,
% 3.44/3.66 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8491, 8489, 178, 316])).
% 3.44/3.66 tff(8493,plain,
% 3.44/3.66 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[69, 8492])).
% 3.44/3.66 tff(8494,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[2666, 125, 8493, 8296, 411, 8300, 269])).
% 3.44/3.66 tff(8495,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8496,plain,
% 3.44/3.66 (~r(s(z), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8495, 6698, 317, 316, 7445])).
% 3.44/3.66 tff(8497,plain,
% 3.44/3.66 (b(s(z), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[408, 8496])).
% 3.44/3.66 tff(8498,plain,
% 3.44/3.66 (~b(s(z), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8294, 6698, 316, 7445, 317])).
% 3.44/3.66 tff(8499,plain,
% 3.44/3.66 (r(s(z), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[563, 8498])).
% 3.44/3.66 tff(8500,plain,
% 3.44/3.66 (~b(s(s(s(s(z)))), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8298, 8499, 6698, 317, 316])).
% 3.44/3.66 tff(8501,plain,
% 3.44/3.66 (r(s(s(s(s(z)))), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[314, 8500])).
% 3.44/3.66 tff(8502,plain,
% 3.44/3.66 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8264, 8497, 316, 7445, 8501, 6698])).
% 3.44/3.66 tff(8503,plain,
% 3.44/3.66 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[336, 8502])).
% 3.44/3.66 tff(8504,plain,
% 3.44/3.66 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8491, 8503, 317, 316])).
% 3.44/3.66 tff(8505,plain,
% 3.44/3.66 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[69, 8504])).
% 3.44/3.66 tff(8506,plain,
% 3.44/3.66 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[553, 8505, 7445, 8499])).
% 3.44/3.66 tff(8507,plain,
% 3.44/3.66 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[542, 8506])).
% 3.44/3.66 tff(8508,plain,
% 3.44/3.66 (~b(z, s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[4121, 8507, 8497, 316])).
% 3.44/3.66 tff(8509,plain,
% 3.44/3.66 (r(z, s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[267, 8508])).
% 3.44/3.66 tff(8510,plain,
% 3.44/3.66 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[6938, 8507, 316, 8497])).
% 3.44/3.66 tff(8511,plain,
% 3.44/3.66 (r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[1093, 8510])).
% 3.44/3.66 tff(8512,plain,
% 3.44/3.66 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[7322, 115, 135, 204, 269])).
% 3.44/3.66 tff(8513,plain,
% 3.44/3.66 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[163, 8512])).
% 3.44/3.66 tff(8514,plain,
% 3.44/3.66 (~r(s(s(s(s(s(z))))), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[5891, 115, 544, 1020, 270])).
% 3.44/3.66 tff(8515,plain,
% 3.44/3.66 (b(s(s(s(s(s(z))))), z)),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[427, 8514])).
% 3.44/3.66 tff(8516,plain,
% 3.44/3.66 (~b(z, s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[7848, 8515, 72, 544, 178])).
% 3.44/3.66 tff(8517,plain,
% 3.44/3.66 (r(z, s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[113, 8516])).
% 3.44/3.66 tff(8518,plain,
% 3.44/3.66 (~r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[5909, 8517, 544, 115, 1020])).
% 3.44/3.66 tff(8519,plain,
% 3.44/3.66 (b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[394, 8518])).
% 3.44/3.66 tff(8520,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8521,plain,
% 3.44/3.66 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8522,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 3.44/3.66 inference(monotonicity,[status(thm)],[8521])).
% 3.44/3.66 tff(8523,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.66 inference(transitivity,[status(thm)],[8522, 8520])).
% 3.44/3.66 tff(8524,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.44/3.66 inference(quant_inst,[status(thm)],[])).
% 3.44/3.66 tff(8525,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 3.44/3.66 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 3.44/3.66 tff(8526,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8525, 91, 77, 176, 348, 72, 526])).
% 3.44/3.66 tff(8527,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8528,plain,
% 3.44/3.66 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8527, 8519, 8513, 72, 6031])).
% 3.44/3.66 tff(8529,plain,
% 3.44/3.66 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[1313, 8528])).
% 3.44/3.66 tff(8530,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[276, 125, 8517, 8529, 215, 270, 269])).
% 3.44/3.66 tff(8531,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8532,plain,
% 3.44/3.66 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8531, 8511, 8509, 6698, 8497, 7445, 8501, 317, 8499, 8505])).
% 3.44/3.66 tff(8533,plain,
% 3.44/3.66 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[689, 8532])).
% 3.44/3.66 tff(8534,plain,
% 3.44/3.66 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[738, 410, 544, 135])).
% 3.44/3.66 tff(8535,plain,
% 3.44/3.66 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[369, 8534])).
% 3.44/3.66 tff(8536,plain,
% 3.44/3.66 (~r(z, s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[7886, 410, 270, 215, 269])).
% 3.44/3.66 tff(8537,plain,
% 3.44/3.66 (b(z, s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[113, 8536])).
% 3.44/3.66 tff(8538,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[677, 8537, 8535, 178, 669])).
% 3.44/3.66 tff(8539,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8540,plain,
% 3.44/3.66 (~r(s(s(s(s(s(z))))), s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8539, 317, 8533, 8509, 8511, 6698, 7445, 8499])).
% 3.44/3.66 tff(8541,plain,
% 3.44/3.66 (b(s(s(s(s(s(z))))), s(z))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[394, 8540])).
% 3.44/3.66 tff(8542,plain,
% 3.44/3.66 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[7233, 91, 8541, 8503, 8533, 8497, 316])).
% 3.44/3.66 tff(8543,plain,
% 3.44/3.66 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[1313, 8542])).
% 3.44/3.66 tff(8544,plain,
% 3.44/3.66 (~r(z, s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[278, 8543, 8511, 8509, 6698])).
% 3.44/3.66 tff(8545,plain,
% 3.44/3.66 (b(z, s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[113, 8544])).
% 3.44/3.66 tff(8546,plain,
% 3.44/3.66 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[677, 8545, 317, 8533])).
% 3.44/3.66 tff(8547,plain,
% 3.44/3.66 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[369, 8546])).
% 3.44/3.66 tff(8548,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[4871, 125, 203, 135, 73, 136, 269])).
% 3.44/3.66 tff(8549,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8550,plain,
% 3.44/3.66 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8549, 8547, 8499, 8543, 6698])).
% 3.44/3.66 tff(8551,plain,
% 3.44/3.66 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[163, 8550])).
% 3.44/3.66 tff(8552,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8553,plain,
% 3.44/3.66 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8554,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 3.44/3.66 inference(monotonicity,[status(thm)],[8553])).
% 3.44/3.66 tff(8555,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.44/3.66 inference(transitivity,[status(thm)],[8554, 8552])).
% 3.44/3.66 tff(8556,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.44/3.66 inference(quant_inst,[status(thm)],[])).
% 3.44/3.66 tff(8557,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 3.44/3.66 inference(modus_ponens,[status(thm)],[8556, 8555])).
% 3.44/3.66 tff(8558,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8557, 91, 8541, 8545, 8551, 8497])).
% 3.44/3.66 tff(8559,plain,(r(z, s(s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8560,plain,
% 3.44/3.66 (r(z, s(s(s(s(z)))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8559, 316])).
% 3.44/3.66 tff(8561,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8562,plain,
% 3.44/3.66 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(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(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.66 inference(rewrite,[status(thm)],[])).
% 3.44/3.66 tff(8563,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 3.44/3.66 inference(monotonicity,[status(thm)],[8562])).
% 3.44/3.66 tff(8564,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(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(X1, 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(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.66 inference(transitivity,[status(thm)],[8563, 8561])).
% 3.44/3.66 tff(8565,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.44/3.66 inference(quant_inst,[status(thm)],[])).
% 3.44/3.66 tff(8566,plain,
% 3.44/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 3.44/3.66 inference(modus_ponens,[status(thm)],[8565, 8564])).
% 3.44/3.66 tff(8567,plain,
% 3.44/3.66 ($false),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8566, 91, 1073, 177, 74, 72, 316])).
% 3.44/3.66 tff(8568,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.66 tff(8569,plain,
% 3.44/3.66 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[8568, 72, 316, 177, 74])).
% 3.44/3.66 tff(8570,plain,
% 3.44/3.66 (r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.66 inference(unit_resolution,[status(thm)],[1093, 8569])).
% 3.44/3.66 tff(8571,plain,
% 3.44/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8572,plain,
% 3.44/3.67 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8573,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), 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(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 3.44/3.67 inference(monotonicity,[status(thm)],[8572])).
% 3.44/3.67 tff(8574,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), 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(X1, 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(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.67 inference(transitivity,[status(thm)],[8573, 8571])).
% 3.44/3.67 tff(8575,plain,
% 3.44/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.44/3.67 inference(quant_inst,[status(thm)],[])).
% 3.44/3.67 tff(8576,plain,
% 3.44/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 3.44/3.67 inference(modus_ponens,[status(thm)],[8575, 8574])).
% 3.44/3.67 tff(8577,plain,
% 3.44/3.67 ($false),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8576, 91, 429, 177, 74, 72])).
% 3.44/3.67 tff(8578,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.67 tff(8579,plain,
% 3.44/3.67 (~b(z, s(z))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8578, 72, 177, 74])).
% 3.44/3.67 tff(8580,plain,
% 3.44/3.67 (r(z, s(z))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[267, 8579])).
% 3.44/3.67 tff(8581,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8582,plain,
% 3.44/3.67 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8583,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.44/3.67 inference(monotonicity,[status(thm)],[8582])).
% 3.44/3.67 tff(8584,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.44/3.67 inference(transitivity,[status(thm)],[8583, 8581])).
% 3.44/3.67 tff(8585,plain,
% 3.44/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.44/3.67 inference(quant_inst,[status(thm)],[])).
% 3.44/3.67 tff(8586,plain,
% 3.44/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.44/3.67 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 3.44/3.67 tff(8587,plain,
% 3.44/3.67 ($false),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8586, 125, 215, 135, 270, 80, 347])).
% 3.44/3.67 tff(8588,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.67 tff(8589,plain,
% 3.44/3.67 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8588, 135, 80, 270, 215])).
% 3.44/3.67 tff(8590,plain,
% 3.44/3.67 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[336, 8589])).
% 3.44/3.67 tff(8591,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8592,plain,
% 3.44/3.67 (((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8593,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.44/3.67 inference(monotonicity,[status(thm)],[8592])).
% 3.44/3.67 tff(8594,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.44/3.67 inference(transitivity,[status(thm)],[8593, 8591])).
% 3.44/3.67 tff(8595,plain,
% 3.44/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(quant_inst,[status(thm)],[])).
% 3.44/3.67 tff(8596,plain,
% 3.44/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.44/3.67 inference(modus_ponens,[status(thm)],[8595, 8594])).
% 3.44/3.67 tff(8597,plain,
% 3.44/3.67 ($false),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8596, 125, 215, 135, 270, 80, 545])).
% 3.44/3.67 tff(8598,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.67 tff(8599,plain,
% 3.44/3.67 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8598, 135, 80, 270, 215])).
% 3.44/3.67 tff(8600,plain,
% 3.44/3.67 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[542, 8599])).
% 3.44/3.67 tff(8601,plain,
% 3.44/3.67 ($false),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[2955, 8600, 8590, 297, 177])).
% 3.44/3.67 tff(8602,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.67 tff(8603,plain,
% 3.44/3.67 (~r(s(z), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8602, 8580, 177, 8560, 297, 8570])).
% 3.44/3.67 tff(8604,plain,
% 3.44/3.67 (b(s(z), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[563, 8603])).
% 3.44/3.67 tff(8605,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8606,plain,
% 3.44/3.67 (((~b(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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8607,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.44/3.67 inference(monotonicity,[status(thm)],[8606])).
% 3.44/3.67 tff(8608,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(transitivity,[status(thm)],[8607, 8605])).
% 3.44/3.67 tff(8609,plain,
% 3.44/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(quant_inst,[status(thm)],[])).
% 3.44/3.67 tff(8610,plain,
% 3.44/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.44/3.67 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 3.44/3.67 tff(8611,plain,
% 3.44/3.67 ($false),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8610, 91, 76, 565, 177, 297])).
% 3.44/3.67 tff(8612,plain,((~b(s(s(s(s(s(s(z)))))), s(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(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.67 tff(8613,plain,
% 3.44/3.67 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8612, 8604, 177, 297])).
% 3.44/3.67 tff(8614,plain,
% 3.44/3.67 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[69, 8613])).
% 3.44/3.67 tff(8615,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8616,plain,
% 3.44/3.67 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8617,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 3.44/3.67 inference(monotonicity,[status(thm)],[8616])).
% 3.44/3.67 tff(8618,plain,
% 3.44/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(transitivity,[status(thm)],[8617, 8615])).
% 3.44/3.67 tff(8619,plain,
% 3.44/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.44/3.67 inference(quant_inst,[status(thm)],[])).
% 3.44/3.67 tff(8620,plain,
% 3.44/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.44/3.67 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 3.44/3.67 tff(8621,plain,
% 3.44/3.67 ($false),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8620, 125, 215, 204, 80, 347])).
% 3.44/3.67 tff(8622,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.67 tff(8623,plain,
% 3.44/3.67 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8622, 8614, 8560, 8570])).
% 3.44/3.67 tff(8624,plain,
% 3.44/3.67 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[336, 8623])).
% 3.44/3.67 tff(8625,plain,
% 3.44/3.67 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8612, 565, 177, 297])).
% 3.44/3.67 tff(8626,plain,
% 3.44/3.67 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[69, 8625])).
% 3.44/3.67 tff(8627,plain,
% 3.44/3.67 (~b(s(s(s(s(s(z))))), z)),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[419, 81, 316, 348])).
% 3.44/3.67 tff(8628,plain,
% 3.44/3.67 (r(s(s(s(s(s(z))))), z)),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[427, 8627])).
% 3.44/3.67 tff(8629,plain,
% 3.44/3.67 (~r(s(z), z)),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[449, 81, 297, 316, 74, 410, 348, 177])).
% 3.44/3.67 tff(8630,plain,
% 3.44/3.67 (b(s(z), z)),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[408, 8629])).
% 3.44/3.67 tff(8631,plain,
% 3.44/3.67 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8568, 8630, 316, 177, 74])).
% 3.44/3.67 tff(8632,plain,
% 3.44/3.67 (r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[1093, 8631])).
% 3.44/3.67 tff(8633,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8634,plain,
% 3.44/3.67 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8635,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 3.44/3.67 inference(monotonicity,[status(thm)],[8634])).
% 3.44/3.67 tff(8636,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.44/3.67 inference(transitivity,[status(thm)],[8635, 8633])).
% 3.44/3.67 tff(8637,plain,
% 3.44/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.44/3.67 inference(quant_inst,[status(thm)],[])).
% 3.44/3.67 tff(8638,plain,
% 3.44/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.44/3.67 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 3.44/3.67 tff(8639,plain,
% 3.44/3.67 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8638, 91, 565, 177, 8630, 316, 297])).
% 3.44/3.67 tff(8640,plain,
% 3.44/3.67 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[69, 8639])).
% 3.44/3.67 tff(8641,plain,
% 3.44/3.67 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[8622, 8640, 8560, 8632])).
% 3.44/3.67 tff(8642,plain,
% 3.44/3.67 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[336, 8641])).
% 3.44/3.67 tff(8643,plain,
% 3.44/3.67 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[6971, 8642, 177, 348, 8630, 81])).
% 3.44/3.67 tff(8644,plain,
% 3.44/3.67 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[542, 8643])).
% 3.44/3.67 tff(8645,plain,
% 3.44/3.67 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[654, 8644, 410, 8632, 8628])).
% 3.44/3.67 tff(8646,plain,
% 3.44/3.67 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.67 inference(unit_resolution,[status(thm)],[246, 8645])).
% 3.44/3.67 tff(8647,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8648,plain,
% 3.44/3.67 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.67 inference(rewrite,[status(thm)],[])).
% 3.44/3.67 tff(8649,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 3.44/3.67 inference(monotonicity,[status(thm)],[8648])).
% 3.44/3.67 tff(8650,plain,
% 3.44/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.44/3.68 inference(transitivity,[status(thm)],[8649, 8647])).
% 3.44/3.68 tff(8651,plain,
% 3.44/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.44/3.68 inference(quant_inst,[status(thm)],[])).
% 3.44/3.68 tff(8652,plain,
% 3.44/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 3.44/3.68 inference(modus_ponens,[status(thm)],[8651, 8650])).
% 3.44/3.68 tff(8653,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8652, 91, 565, 81, 8642, 74, 8630, 8646])).
% 3.44/3.68 tff(8654,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8655,plain,
% 3.44/3.68 (~b(z, s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8654, 565, 74, 410, 177, 348, 316, 297])).
% 3.44/3.68 tff(8656,plain,
% 3.44/3.68 (r(z, s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[113, 8655])).
% 3.44/3.68 tff(8657,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8658,plain,
% 3.44/3.68 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8659,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.44/3.68 inference(monotonicity,[status(thm)],[8658])).
% 3.44/3.68 tff(8660,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.44/3.68 inference(transitivity,[status(thm)],[8659, 8657])).
% 3.44/3.68 tff(8661,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 3.44/3.68 inference(quant_inst,[status(thm)],[])).
% 3.44/3.68 tff(8662,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 3.44/3.68 tff(8663,plain,
% 3.44/3.68 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8662, 125, 8656, 8626, 8560, 115])).
% 3.44/3.68 tff(8664,plain,
% 3.44/3.68 (b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[1093, 8663])).
% 3.44/3.68 tff(8665,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8666,plain,
% 3.44/3.68 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8667,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z)))))),
% 3.44/3.68 inference(monotonicity,[status(thm)],[8666])).
% 3.44/3.68 tff(8668,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 3.44/3.68 inference(transitivity,[status(thm)],[8667, 8665])).
% 3.44/3.68 tff(8669,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.44/3.68 inference(quant_inst,[status(thm)],[])).
% 3.44/3.68 tff(8670,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z)))),
% 3.44/3.68 inference(modus_ponens,[status(thm)],[8669, 8668])).
% 3.44/3.68 tff(8671,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8670, 125, 410, 75, 270, 80, 115])).
% 3.44/3.68 tff(8672,plain,((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8673,plain,
% 3.44/3.68 (~r(z, s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8672, 8656, 8560, 115, 410])).
% 3.44/3.68 tff(8674,plain,
% 3.44/3.68 (b(z, s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[267, 8673])).
% 3.44/3.68 tff(8675,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[5502, 91, 8674, 8664, 316, 297])).
% 3.44/3.68 tff(8676,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8677,plain,
% 3.44/3.68 (~b(s(z), s(s(s(s(z)))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8676, 348, 297, 115, 177, 410, 74, 316])).
% 3.44/3.68 tff(8678,plain,
% 3.44/3.68 (r(s(z), s(s(s(s(z)))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[563, 8677])).
% 3.44/3.68 tff(8679,plain,
% 3.44/3.68 (~r(z, s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8672, 8580, 8560, 115, 410])).
% 3.44/3.68 tff(8680,plain,
% 3.44/3.68 (b(z, s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[113, 8679])).
% 3.44/3.68 tff(8681,plain,
% 3.44/3.68 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8588, 8580, 8560, 135, 8570])).
% 3.44/3.68 tff(8682,plain,
% 3.44/3.68 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[336, 8681])).
% 3.44/3.68 tff(8683,plain,
% 3.44/3.68 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8598, 8570, 8560, 135, 8580])).
% 3.44/3.68 tff(8684,plain,
% 3.44/3.68 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[542, 8683])).
% 3.44/3.68 tff(8685,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[6971, 8684, 8682, 177, 348, 72, 8680])).
% 3.44/3.68 tff(8686,plain,((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8687,plain,
% 3.44/3.68 (~b(s(z), z)),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8686, 348, 177, 8678, 115, 410, 316, 74])).
% 3.44/3.68 tff(8688,plain,
% 3.44/3.68 (r(s(z), z)),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[408, 8687])).
% 3.44/3.68 tff(8689,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8690,plain,
% 3.44/3.68 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8691,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 3.44/3.68 inference(monotonicity,[status(thm)],[8690])).
% 3.44/3.68 tff(8692,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.44/3.68 inference(transitivity,[status(thm)],[8691, 8689])).
% 3.44/3.68 tff(8693,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))),
% 3.44/3.68 inference(quant_inst,[status(thm)],[])).
% 3.44/3.68 tff(8694,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 3.44/3.68 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 3.44/3.68 tff(8695,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8694, 125, 135, 411, 80, 115, 136])).
% 3.44/3.68 tff(8696,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8697,plain,
% 3.44/3.68 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8696, 8678, 8688, 8560, 115])).
% 3.44/3.68 tff(8698,plain,
% 3.44/3.68 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[163, 8697])).
% 3.44/3.68 tff(8699,plain,
% 3.44/3.68 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[501, 8698, 297, 348])).
% 3.44/3.68 tff(8700,plain,
% 3.44/3.68 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[246, 8699])).
% 3.44/3.68 tff(8701,plain,
% 3.44/3.68 (~b(z, s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[449, 8688, 297, 316, 74, 410, 348, 177])).
% 3.44/3.68 tff(8702,plain,
% 3.44/3.68 (r(z, s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[113, 8701])).
% 3.44/3.68 tff(8703,plain,
% 3.44/3.68 (~r(z, s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8672, 8702, 8560, 115, 410])).
% 3.44/3.68 tff(8704,plain,
% 3.44/3.68 (b(z, s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[267, 8703])).
% 3.44/3.68 tff(8705,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[5502, 91, 429, 1073, 316, 297])).
% 3.44/3.68 tff(8706,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8707,plain,
% 3.44/3.68 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8706, 8704, 316, 297])).
% 3.44/3.68 tff(8708,plain,
% 3.44/3.68 (r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[1093, 8707])).
% 3.44/3.68 tff(8709,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8710,plain,
% 3.44/3.68 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.44/3.68 inference(rewrite,[status(thm)],[])).
% 3.44/3.68 tff(8711,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.44/3.68 inference(monotonicity,[status(thm)],[8710])).
% 3.44/3.68 tff(8712,plain,
% 3.44/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.44/3.68 inference(transitivity,[status(thm)],[8711, 8709])).
% 3.44/3.68 tff(8713,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.44/3.68 inference(quant_inst,[status(thm)],[])).
% 3.44/3.68 tff(8714,plain,
% 3.44/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.44/3.68 inference(modus_ponens,[status(thm)],[8713, 8712])).
% 3.44/3.68 tff(8715,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8714, 125, 8702, 8708, 8560, 8700, 115])).
% 3.44/3.68 tff(8716,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8717,plain,
% 3.44/3.68 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8716, 410, 297, 316, 115, 74, 177])).
% 3.44/3.68 tff(8718,plain,
% 3.44/3.68 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[1313, 8717])).
% 3.44/3.68 tff(8719,plain,
% 3.44/3.68 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[3299, 8614, 410, 115, 8718])).
% 3.44/3.68 tff(8720,plain,
% 3.44/3.68 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[542, 8719])).
% 3.44/3.68 tff(8721,plain,
% 3.44/3.68 ($false),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[2955, 8720, 8624, 297, 177])).
% 3.44/3.68 tff(8722,plain,((~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.68 tff(8723,plain,
% 3.44/3.68 (~b(s(z), z)),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8722, 410, 177, 297, 115, 316, 74])).
% 3.44/3.68 tff(8724,plain,
% 3.44/3.68 (r(s(z), z)),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[408, 8723])).
% 3.44/3.68 tff(8725,plain,
% 3.44/3.68 (~b(z, s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[8706, 1073, 316, 297])).
% 3.44/3.68 tff(8726,plain,
% 3.44/3.68 (r(z, s(z))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[267, 8725])).
% 3.44/3.68 tff(8727,plain,
% 3.44/3.68 (~r(s(s(s(s(s(z))))), z)),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[447, 8726, 8724, 410])).
% 3.44/3.68 tff(8728,plain,
% 3.44/3.68 (b(s(s(s(s(s(z))))), z)),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[427, 8727])).
% 3.44/3.68 tff(8729,plain,
% 3.44/3.68 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[5392, 1073, 74, 316])).
% 3.44/3.68 tff(8730,plain,
% 3.44/3.68 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[69, 8729])).
% 3.44/3.68 tff(8731,plain,
% 3.44/3.68 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.68 inference(unit_resolution,[status(thm)],[212, 8730, 115, 8718])).
% 3.44/3.69 tff(8732,plain,
% 3.44/3.69 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[369, 8731])).
% 3.44/3.69 tff(8733,plain,
% 3.44/3.69 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[3299, 8730, 410, 115, 8718])).
% 3.44/3.69 tff(8734,plain,
% 3.44/3.69 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[542, 8733])).
% 3.44/3.69 tff(8735,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[5420, 8734, 8732, 177, 74, 1073, 8728])).
% 3.44/3.69 tff(8736,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8737,plain,
% 3.44/3.69 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8736, 410, 74, 177, 115, 316, 297])).
% 3.44/3.69 tff(8738,plain,
% 3.44/3.69 (r(z, s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[1093, 8737])).
% 3.44/3.69 tff(8739,plain,
% 3.44/3.69 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[3299, 204, 410, 115, 203])).
% 3.44/3.69 tff(8740,plain,
% 3.44/3.69 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[542, 8739])).
% 3.44/3.69 tff(8741,plain,
% 3.44/3.69 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8622, 204, 80, 215])).
% 3.44/3.69 tff(8742,plain,
% 3.44/3.69 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[336, 8741])).
% 3.44/3.69 tff(8743,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[2955, 8742, 8740, 297, 177])).
% 3.44/3.69 tff(8744,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8745,plain,
% 3.44/3.69 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8744, 8738, 177, 8560, 297, 410, 115, 8718])).
% 3.44/3.69 tff(8746,plain,
% 3.44/3.69 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[69, 8745])).
% 3.44/3.69 tff(8747,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8748,plain,
% 3.44/3.69 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8749,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 3.44/3.69 inference(monotonicity,[status(thm)],[8748])).
% 3.44/3.69 tff(8750,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.44/3.69 inference(transitivity,[status(thm)],[8749, 8747])).
% 3.44/3.69 tff(8751,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.44/3.69 inference(quant_inst,[status(thm)],[])).
% 3.44/3.69 tff(8752,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.44/3.69 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 3.44/3.69 tff(8753,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8752, 125, 75, 203, 215, 80, 347])).
% 3.44/3.69 tff(8754,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8755,plain,
% 3.44/3.69 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8754, 215, 80, 75, 203])).
% 3.44/3.69 tff(8756,plain,
% 3.44/3.69 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[336, 8755])).
% 3.44/3.69 tff(8757,plain,
% 3.44/3.69 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[5775, 298, 318, 76])).
% 3.44/3.69 tff(8758,plain,
% 3.44/3.69 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[369, 8757])).
% 3.44/3.69 tff(8759,plain,
% 3.44/3.69 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[6057, 298, 76, 318])).
% 3.44/3.69 tff(8760,plain,
% 3.44/3.69 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[689, 8759])).
% 3.44/3.69 tff(8761,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[133, 8760, 8758, 80, 75])).
% 3.44/3.69 tff(8762,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8763,plain,
% 3.44/3.69 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8762, 8756, 75, 76, 80])).
% 3.44/3.69 tff(8764,plain,
% 3.44/3.69 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[246, 8763])).
% 3.44/3.69 tff(8765,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[222, 125, 75, 203, 215, 8764])).
% 3.44/3.69 tff(8766,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8767,plain,
% 3.44/3.69 (~r(z, s(s(s(s(s(z))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8766, 8746, 8560, 8718, 8738])).
% 3.44/3.69 tff(8768,plain,
% 3.44/3.69 (b(z, s(s(s(s(s(z))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[113, 8767])).
% 3.44/3.69 tff(8769,plain,
% 3.44/3.69 (~b(s(z), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8612, 8746, 177, 297])).
% 3.44/3.69 tff(8770,plain,
% 3.44/3.69 (r(s(z), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[563, 8769])).
% 3.44/3.69 tff(8771,plain,
% 3.44/3.69 (~r(s(z), s(s(s(s(s(z))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8696, 8770, 8724, 8560, 115])).
% 3.44/3.69 tff(8772,plain,
% 3.44/3.69 (b(s(z), s(s(s(s(s(z))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[163, 8771])).
% 3.44/3.69 tff(8773,plain,
% 3.44/3.69 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[4445, 8746, 297, 177])).
% 3.44/3.69 tff(8774,plain,
% 3.44/3.69 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[336, 8773])).
% 3.44/3.69 tff(8775,plain,
% 3.44/3.69 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[4195, 8774, 115, 8718])).
% 3.44/3.69 tff(8776,plain,
% 3.44/3.69 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[246, 8775])).
% 3.44/3.69 tff(8777,plain,
% 3.44/3.69 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[4323, 8776, 297, 8772])).
% 3.44/3.69 tff(8778,plain,
% 3.44/3.69 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[542, 8777])).
% 3.44/3.69 tff(8779,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), 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)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), 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)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8780,plain,
% 3.44/3.69 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), 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)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8781,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), 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))))))),
% 3.44/3.69 inference(monotonicity,[status(thm)],[8780])).
% 3.44/3.69 tff(8782,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), 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)))))),
% 3.44/3.69 inference(transitivity,[status(thm)],[8781, 8779])).
% 3.44/3.69 tff(8783,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.44/3.69 inference(quant_inst,[status(thm)],[])).
% 3.44/3.69 tff(8784,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z))))),
% 3.44/3.69 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 3.44/3.69 tff(8785,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8784, 125, 410, 203, 4499, 3103, 545])).
% 3.44/3.69 tff(8786,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8787,plain,
% 3.44/3.69 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8786, 4499, 203, 410, 545])).
% 3.44/3.69 tff(8788,plain,
% 3.44/3.69 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[3164, 8787])).
% 3.44/3.69 tff(8789,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8790,plain,
% 3.44/3.69 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8791,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.44/3.69 inference(monotonicity,[status(thm)],[8790])).
% 3.44/3.69 tff(8792,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.69 inference(transitivity,[status(thm)],[8791, 8789])).
% 3.44/3.69 tff(8793,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.44/3.69 inference(quant_inst,[status(thm)],[])).
% 3.44/3.69 tff(8794,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.44/3.69 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 3.44/3.69 tff(8795,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8794, 125, 135, 411, 836, 80, 4499])).
% 3.44/3.69 tff(8796,plain,((~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8797,plain,
% 3.44/3.69 (~r(s(s(z)), z)),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8796, 4499, 411, 80, 135])).
% 3.44/3.69 tff(8798,plain,
% 3.44/3.69 (b(s(s(z)), z)),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[898, 8797])).
% 3.44/3.69 tff(8799,plain,
% 3.44/3.69 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[4555, 4539, 135, 4499])).
% 3.44/3.69 tff(8800,plain,
% 3.44/3.69 (b(s(s(s(s(z)))), s(s(z)))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[938, 8799])).
% 3.44/3.69 tff(8801,plain,
% 3.44/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8802,plain,
% 3.44/3.69 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(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(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8803,plain,
% 3.44/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))))),
% 3.44/3.69 inference(monotonicity,[status(thm)],[8802])).
% 3.44/3.69 tff(8804,plain,
% 3.44/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.44/3.69 inference(transitivity,[status(thm)],[8803, 8801])).
% 3.44/3.69 tff(8805,plain,
% 3.44/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(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)))),
% 3.44/3.69 inference(quant_inst,[status(thm)],[])).
% 3.44/3.69 tff(8806,plain,
% 3.44/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))),
% 3.44/3.69 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 3.44/3.69 tff(8807,plain,
% 3.44/3.69 (~b(z, s(s(z)))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8806, 91, 924, 81, 8800, 74])).
% 3.44/3.69 tff(8808,plain,
% 3.44/3.69 (r(z, s(s(z)))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[3400, 8807])).
% 3.44/3.69 tff(8809,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8810,plain,
% 3.44/3.69 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8811,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.44/3.69 inference(monotonicity,[status(thm)],[8810])).
% 3.44/3.69 tff(8812,plain,
% 3.44/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.44/3.69 inference(transitivity,[status(thm)],[8811, 8809])).
% 3.44/3.69 tff(8813,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))),
% 3.44/3.69 inference(quant_inst,[status(thm)],[])).
% 3.44/3.69 tff(8814,plain,
% 3.44/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.44/3.69 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 3.44/3.69 tff(8815,plain,
% 3.44/3.69 ($false),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8814, 125, 8808, 135, 411, 4499, 4539])).
% 3.44/3.69 tff(8816,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.44/3.69 tff(8817,plain,
% 3.44/3.69 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[8816, 8798, 411, 135, 4499, 81, 74])).
% 3.44/3.69 tff(8818,plain,
% 3.44/3.69 (b(s(s(z)), s(s(s(s(z)))))),
% 3.44/3.69 inference(unit_resolution,[status(thm)],[4476, 8817])).
% 3.44/3.69 tff(8819,plain,
% 3.44/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8820,plain,
% 3.44/3.69 (((~b(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(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.44/3.69 inference(rewrite,[status(thm)],[])).
% 3.44/3.69 tff(8821,plain,
% 3.44/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.44/3.69 inference(monotonicity,[status(thm)],[8820])).
% 3.44/3.69 tff(8822,plain,
% 3.44/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.44/3.69 inference(transitivity,[status(thm)],[8821, 8819])).
% 3.44/3.69 tff(8823,plain,
% 3.44/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.70 inference(quant_inst,[status(thm)],[])).
% 3.54/3.70 tff(8824,plain,
% 3.54/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.54/3.70 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 3.54/3.70 tff(8825,plain,
% 3.54/3.70 ($false),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8824, 91, 76, 4456, 3151, 923])).
% 3.54/3.70 tff(8826,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.70 tff(8827,plain,
% 3.54/3.70 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8826, 8818, 76, 8788])).
% 3.54/3.70 tff(8828,plain,
% 3.54/3.70 (r(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[938, 8827])).
% 3.54/3.70 tff(8829,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8830,plain,
% 3.54/3.70 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8831,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.54/3.70 inference(monotonicity,[status(thm)],[8830])).
% 3.54/3.70 tff(8832,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.54/3.70 inference(transitivity,[status(thm)],[8831, 8829])).
% 3.54/3.70 tff(8833,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))),
% 3.54/3.70 inference(quant_inst,[status(thm)],[])).
% 3.54/3.70 tff(8834,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.54/3.70 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 3.54/3.70 tff(8835,plain,
% 3.54/3.70 ($false),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8834, 125, 8828, 135, 411, 80, 4499])).
% 3.54/3.70 tff(8836,plain,((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.70 tff(8837,plain,
% 3.54/3.70 (~r(s(z), s(s(z)))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8836, 8770, 8724, 8560, 8746, 8718, 410, 8778, 8768, 74])).
% 3.54/3.70 tff(8838,plain,
% 3.54/3.70 (b(s(z), s(s(z)))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[1004, 8837])).
% 3.54/3.70 tff(8839,plain,
% 3.54/3.70 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8672, 270, 8560, 115, 410])).
% 3.54/3.70 tff(8840,plain,
% 3.54/3.70 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[113, 8839])).
% 3.54/3.70 tff(8841,plain,
% 3.54/3.70 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[5970, 722, 316, 8840])).
% 3.54/3.70 tff(8842,plain,
% 3.54/3.70 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[246, 8841])).
% 3.54/3.70 tff(8843,plain,
% 3.54/3.70 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[4195, 8842, 115, 203])).
% 3.54/3.70 tff(8844,plain,
% 3.54/3.70 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[336, 8843])).
% 3.54/3.70 tff(8845,plain,
% 3.54/3.70 (~r(s(z), s(s(s(s(z)))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8602, 270, 177, 8560, 297, 215])).
% 3.54/3.70 tff(8846,plain,
% 3.54/3.70 (b(s(z), s(s(s(s(z)))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[563, 8845])).
% 3.54/3.70 tff(8847,plain,
% 3.54/3.70 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8612, 8846, 177, 297])).
% 3.54/3.70 tff(8848,plain,
% 3.54/3.70 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[69, 8847])).
% 3.54/3.70 tff(8849,plain,
% 3.54/3.70 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[3299, 8848, 410, 115, 203])).
% 3.54/3.70 tff(8850,plain,
% 3.54/3.70 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[542, 8849])).
% 3.54/3.70 tff(8851,plain,
% 3.54/3.70 ($false),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[2955, 8850, 8844, 297, 177])).
% 3.54/3.70 tff(8852,plain,((~r(z, s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.70 tff(8853,plain,
% 3.54/3.70 (~r(z, s(z))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8852, 410, 177, 297, 115, 8718, 316, 8738, 8724])).
% 3.54/3.70 tff(8854,plain,
% 3.54/3.70 (b(z, s(z))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[267, 8853])).
% 3.54/3.70 tff(8855,plain,
% 3.54/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8856,plain,
% 3.54/3.70 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(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(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8857,plain,
% 3.54/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, 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(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.54/3.70 inference(monotonicity,[status(thm)],[8856])).
% 3.54/3.70 tff(8858,plain,
% 3.54/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, 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(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(transitivity,[status(thm)],[8857, 8855])).
% 3.54/3.70 tff(8859,plain,
% 3.54/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(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)))),
% 3.54/3.70 inference(quant_inst,[status(thm)],[])).
% 3.54/3.70 tff(8860,plain,
% 3.54/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(modus_ponens,[status(thm)],[8859, 8858])).
% 3.54/3.70 tff(8861,plain,
% 3.54/3.70 ($false),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8860, 91, 429, 81, 5653, 4925, 177, 74])).
% 3.54/3.70 tff(8862,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(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)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.70 tff(8863,plain,
% 3.54/3.70 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8862, 8838, 8768, 8854, 177, 74])).
% 3.54/3.70 tff(8864,plain,
% 3.54/3.70 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[5666, 8863])).
% 3.54/3.70 tff(8865,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8866,plain,
% 3.54/3.70 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~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(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8867,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 3.54/3.70 inference(monotonicity,[status(thm)],[8866])).
% 3.54/3.70 tff(8868,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.70 inference(transitivity,[status(thm)],[8867, 8865])).
% 3.54/3.70 tff(8869,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.70 inference(quant_inst,[status(thm)],[])).
% 3.54/3.70 tff(8870,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 3.54/3.70 inference(modus_ponens,[status(thm)],[8869, 8868])).
% 3.54/3.70 tff(8871,plain,
% 3.54/3.70 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8870, 125, 135, 115, 5707])).
% 3.54/3.70 tff(8872,plain,
% 3.54/3.70 (~r(s(s(z)), s(z))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8871, 4539])).
% 3.54/3.70 tff(8873,plain,
% 3.54/3.70 (b(s(s(z)), s(z))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[857, 8872])).
% 3.54/3.70 tff(8874,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8875,plain,
% 3.54/3.70 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8876,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.54/3.70 inference(monotonicity,[status(thm)],[8875])).
% 3.54/3.70 tff(8877,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(transitivity,[status(thm)],[8876, 8874])).
% 3.54/3.70 tff(8878,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.54/3.70 inference(quant_inst,[status(thm)],[])).
% 3.54/3.70 tff(8879,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(modus_ponens,[status(thm)],[8878, 8877])).
% 3.54/3.70 tff(8880,plain,
% 3.54/3.70 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8879, 125, 203, 347, 5707])).
% 3.54/3.70 tff(8881,plain,
% 3.54/3.70 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[8880, 4539])).
% 3.54/3.70 tff(8882,plain,
% 3.54/3.70 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[5705, 8881])).
% 3.54/3.70 tff(8883,plain,
% 3.54/3.70 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[5298, 8882, 297, 4925])).
% 3.54/3.70 tff(8884,plain,
% 3.54/3.70 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.70 inference(unit_resolution,[status(thm)],[3164, 8883])).
% 3.54/3.70 tff(8885,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8886,plain,
% 3.54/3.70 (((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(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(z))))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(rewrite,[status(thm)],[])).
% 3.54/3.70 tff(8887,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(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(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.54/3.70 inference(monotonicity,[status(thm)],[8886])).
% 3.54/3.70 tff(8888,plain,
% 3.54/3.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(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(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.70 inference(transitivity,[status(thm)],[8887, 8885])).
% 3.54/3.70 tff(8889,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(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(z)))))))))),
% 3.54/3.70 inference(quant_inst,[status(thm)],[])).
% 3.54/3.70 tff(8890,plain,
% 3.54/3.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.54/3.71 inference(modus_ponens,[status(thm)],[8889, 8888])).
% 3.54/3.71 tff(8891,plain,
% 3.54/3.71 ($false),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8890, 125, 3102, 347, 3103, 115, 5707])).
% 3.54/3.71 tff(8892,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.71 tff(8893,plain,
% 3.54/3.71 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8892, 8884, 347, 5707, 115])).
% 3.54/3.71 tff(8894,plain,
% 3.54/3.71 (b(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[938, 8893])).
% 3.54/3.71 tff(8895,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8896,plain,
% 3.54/3.71 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8897,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 3.54/3.71 inference(monotonicity,[status(thm)],[8896])).
% 3.54/3.71 tff(8898,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.71 inference(transitivity,[status(thm)],[8897, 8895])).
% 3.54/3.71 tff(8899,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.71 inference(quant_inst,[status(thm)],[])).
% 3.54/3.71 tff(8900,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 3.54/3.71 inference(modus_ponens,[status(thm)],[8899, 8898])).
% 3.54/3.71 tff(8901,plain,
% 3.54/3.71 ($false),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8900, 91, 76, 8882, 8894, 4925, 8873, 297])).
% 3.54/3.71 tff(8902,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.71 tff(8903,plain,
% 3.54/3.71 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8902, 8864, 8746, 297, 8774, 8838, 115, 8770, 8718])).
% 3.54/3.71 tff(8904,plain,
% 3.54/3.71 (b(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[4476, 8903])).
% 3.54/3.71 tff(8905,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8906,plain,
% 3.54/3.71 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8907,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.54/3.71 inference(monotonicity,[status(thm)],[8906])).
% 3.54/3.71 tff(8908,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.71 inference(transitivity,[status(thm)],[8907, 8905])).
% 3.54/3.71 tff(8909,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.71 inference(quant_inst,[status(thm)],[])).
% 3.54/3.71 tff(8910,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.54/3.71 inference(modus_ponens,[status(thm)],[8909, 8908])).
% 3.54/3.71 tff(8911,plain,
% 3.54/3.71 ($false),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8910, 91, 4456, 3151, 4925, 74, 316, 297])).
% 3.54/3.71 tff(8912,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.71 tff(8913,plain,
% 3.54/3.71 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8912, 8904, 8838, 74, 316, 297])).
% 3.54/3.71 tff(8914,plain,
% 3.54/3.71 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[3164, 8913])).
% 3.54/3.71 tff(8915,plain,
% 3.54/3.71 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8892, 8914, 8774, 8864, 115])).
% 3.54/3.71 tff(8916,plain,
% 3.54/3.71 (b(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[938, 8915])).
% 3.54/3.71 tff(8917,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(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)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(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)))), z)))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8918,plain,
% 3.54/3.71 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(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)))), z)))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8919,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(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)))), z))))),
% 3.54/3.71 inference(monotonicity,[status(thm)],[8918])).
% 3.54/3.71 tff(8920,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(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)))), z)))),
% 3.54/3.71 inference(transitivity,[status(thm)],[8919, 8917])).
% 3.54/3.71 tff(8921,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.71 inference(quant_inst,[status(thm)],[])).
% 3.54/3.71 tff(8922,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))),
% 3.54/3.71 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 3.54/3.71 tff(8923,plain,
% 3.54/3.71 ($false),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8922, 91, 8746, 8854, 8916, 8838, 74, 316])).
% 3.54/3.71 tff(8924,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.71 tff(8925,plain,
% 3.54/3.71 (~r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8924, 74, 316, 115, 297, 177])).
% 3.54/3.71 tff(8926,plain,
% 3.54/3.71 (b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[394, 8925])).
% 3.54/3.71 tff(8927,plain,
% 3.54/3.71 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[355, 91, 8926, 177, 74, 316, 297])).
% 3.54/3.71 tff(8928,plain,
% 3.54/3.71 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[369, 8927])).
% 3.54/3.71 tff(8929,plain,
% 3.54/3.71 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[133, 8928, 8560, 115])).
% 3.54/3.71 tff(8930,plain,
% 3.54/3.71 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[113, 8929])).
% 3.54/3.71 tff(8931,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8932,plain,
% 3.54/3.71 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8933,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z))))),
% 3.54/3.71 inference(monotonicity,[status(thm)],[8932])).
% 3.54/3.71 tff(8934,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.71 inference(transitivity,[status(thm)],[8933, 8931])).
% 3.54/3.71 tff(8935,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.71 inference(quant_inst,[status(thm)],[])).
% 3.54/3.71 tff(8936,plain,
% 3.54/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z))),
% 3.54/3.71 inference(modus_ponens,[status(thm)],[8935, 8934])).
% 3.54/3.71 tff(8937,plain,
% 3.54/3.71 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[8936, 91, 8926, 8930, 177, 74, 316])).
% 3.54/3.71 tff(8938,plain,
% 3.54/3.71 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[69, 8937])).
% 3.54/3.71 tff(8939,plain,
% 3.54/3.71 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[212, 8938, 115, 8928])).
% 3.54/3.71 tff(8940,plain,
% 3.54/3.71 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[1313, 8939])).
% 3.54/3.71 tff(8941,plain,
% 3.54/3.71 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[388, 8940, 297, 177, 74, 8926, 8938, 316])).
% 3.54/3.71 tff(8942,plain,
% 3.54/3.71 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[336, 8941])).
% 3.54/3.71 tff(8943,plain,
% 3.54/3.71 (~b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[4419, 8940, 297, 8926])).
% 3.54/3.71 tff(8944,plain,
% 3.54/3.71 (r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[163, 8943])).
% 3.54/3.71 tff(8945,plain,
% 3.54/3.71 (~r(s(z), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[144, 8944, 115, 8928])).
% 3.54/3.71 tff(8946,plain,
% 3.54/3.71 (b(s(z), s(s(s(s(z)))))),
% 3.54/3.71 inference(unit_resolution,[status(thm)],[563, 8945])).
% 3.54/3.71 tff(8947,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(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(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(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(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8948,plain,
% 3.54/3.71 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(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(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.71 inference(rewrite,[status(thm)],[])).
% 3.54/3.71 tff(8949,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(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(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.54/3.71 inference(monotonicity,[status(thm)],[8948])).
% 3.54/3.71 tff(8950,plain,
% 3.54/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(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(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.72 inference(transitivity,[status(thm)],[8949, 8947])).
% 3.54/3.72 tff(8951,plain,
% 3.54/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.54/3.72 inference(quant_inst,[status(thm)],[])).
% 3.54/3.72 tff(8952,plain,
% 3.54/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.54/3.72 inference(modus_ponens,[status(thm)],[8951, 8950])).
% 3.54/3.72 tff(8953,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8952, 91, 8926, 8946, 8940, 8942, 177, 297])).
% 3.54/3.72 tff(8954,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(8955,plain,
% 3.54/3.72 (~b(s(s(s(s(z)))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8954, 115, 297, 177, 316])).
% 3.54/3.72 tff(8956,plain,
% 3.54/3.72 (r(s(s(s(s(z)))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[314, 8955])).
% 3.54/3.72 tff(8957,plain,
% 3.54/3.72 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[133, 75, 8560, 115])).
% 3.54/3.72 tff(8958,plain,
% 3.54/3.72 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[369, 8957])).
% 3.54/3.72 tff(8959,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[7361, 8958, 177, 565])).
% 3.54/3.72 tff(8960,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[394, 8959])).
% 3.54/3.72 tff(8961,plain,
% 3.54/3.72 (~r(z, s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8672, 8960, 8560, 115, 75])).
% 3.54/3.72 tff(8962,plain,
% 3.54/3.72 (b(z, s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[267, 8961])).
% 3.54/3.72 tff(8963,plain,
% 3.54/3.72 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8706, 8962, 316, 297])).
% 3.54/3.72 tff(8964,plain,
% 3.54/3.72 (r(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1093, 8963])).
% 3.54/3.72 tff(8965,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8662, 125, 75, 8964, 8626, 8560, 115])).
% 3.54/3.72 tff(8966,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(8967,plain,
% 3.54/3.72 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8966, 565, 316, 297, 177, 115])).
% 3.54/3.72 tff(8968,plain,
% 3.54/3.72 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[113, 8967])).
% 3.54/3.72 tff(8969,plain,
% 3.54/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(8970,plain,
% 3.54/3.72 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(8971,plain,
% 3.54/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.54/3.72 inference(monotonicity,[status(thm)],[8970])).
% 3.54/3.72 tff(8972,plain,
% 3.54/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.72 inference(transitivity,[status(thm)],[8971, 8969])).
% 3.54/3.72 tff(8973,plain,
% 3.54/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.54/3.72 inference(quant_inst,[status(thm)],[])).
% 3.54/3.72 tff(8974,plain,
% 3.54/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.54/3.72 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 3.54/3.72 tff(8975,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8974, 125, 71, 1020, 80, 73])).
% 3.54/3.72 tff(8976,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(8977,plain,
% 3.54/3.72 (~r(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8976, 73, 8560, 1020])).
% 3.54/3.72 tff(8978,plain,
% 3.54/3.72 (b(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[427, 8977])).
% 3.54/3.72 tff(8979,plain,
% 3.54/3.72 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[212, 73, 115, 204])).
% 3.54/3.72 tff(8980,plain,
% 3.54/3.72 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1313, 8979])).
% 3.54/3.72 tff(8981,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[419, 8980, 8978, 316, 81])).
% 3.54/3.72 tff(8982,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(8983,plain,
% 3.54/3.72 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8982, 8968, 316, 115, 8626, 8956])).
% 3.54/3.72 tff(8984,plain,
% 3.54/3.72 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[369, 8983])).
% 3.54/3.72 tff(8985,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[7361, 8984, 177, 565])).
% 3.54/3.72 tff(8986,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[394, 8985])).
% 3.54/3.72 tff(8987,plain,
% 3.54/3.72 (~r(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1293, 75, 115, 8956])).
% 3.54/3.72 tff(8988,plain,
% 3.54/3.72 (b(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[427, 8987])).
% 3.54/3.72 tff(8989,plain,
% 3.54/3.72 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8744, 8964, 177, 8560, 297, 8626, 115, 8960])).
% 3.54/3.72 tff(8990,plain,
% 3.54/3.72 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1313, 8989])).
% 3.54/3.72 tff(8991,plain,
% 3.54/3.72 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8622, 8964, 8560, 8626])).
% 3.54/3.72 tff(8992,plain,
% 3.54/3.72 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[336, 8991])).
% 3.54/3.72 tff(8993,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1322, 8992, 8990, 297, 177, 72, 8988])).
% 3.54/3.72 tff(8994,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(8995,plain,
% 3.54/3.72 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8994, 72, 177, 297, 115, 316, 565])).
% 3.54/3.72 tff(8996,plain,
% 3.54/3.72 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[113, 8995])).
% 3.54/3.72 tff(8997,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[7361, 77, 177, 565])).
% 3.54/3.72 tff(8998,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[369, 8997])).
% 3.54/3.72 tff(8999,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[99, 77, 72, 81])).
% 3.54/3.72 tff(9000,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[427, 8999])).
% 3.54/3.72 tff(9001,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8976, 9000, 8998, 80, 1020])).
% 3.54/3.72 tff(9002,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(9003,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9002, 72, 8956, 8560, 8996, 177, 565])).
% 3.54/3.72 tff(9004,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[394, 9003])).
% 3.54/3.72 tff(9005,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[419, 348, 316, 81])).
% 3.54/3.72 tff(9006,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[427, 9005])).
% 3.54/3.72 tff(9007,plain,
% 3.54/3.72 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8976, 9006, 8560, 1020])).
% 3.54/3.72 tff(9008,plain,
% 3.54/3.72 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[369, 9007])).
% 3.54/3.72 tff(9009,plain,
% 3.54/3.72 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[6950, 318, 316, 81, 348, 349])).
% 3.54/3.72 tff(9010,plain,
% 3.54/3.72 (r(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1093, 9009])).
% 3.54/3.72 tff(9011,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[5050, 318, 348, 349])).
% 3.54/3.72 tff(9012,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[246, 9011])).
% 3.54/3.72 tff(9013,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[654, 9012, 9010, 410, 9006, 5036])).
% 3.54/3.72 tff(9014,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(9015,plain,
% 3.54/3.72 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9014, 348, 410, 9008, 316, 81, 297, 177])).
% 3.54/3.72 tff(9016,plain,
% 3.54/3.72 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[336, 9015])).
% 3.54/3.72 tff(9017,plain,
% 3.54/3.72 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8622, 9016, 8560, 204])).
% 3.54/3.72 tff(9018,plain,
% 3.54/3.72 (b(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1093, 9017])).
% 3.54/3.72 tff(9019,plain,
% 3.54/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(9020,plain,
% 3.54/3.72 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(9021,plain,
% 3.54/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 3.54/3.72 inference(monotonicity,[status(thm)],[9020])).
% 3.54/3.72 tff(9022,plain,
% 3.54/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.72 inference(transitivity,[status(thm)],[9021, 9019])).
% 3.54/3.72 tff(9023,plain,
% 3.54/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.72 inference(quant_inst,[status(thm)],[])).
% 3.54/3.72 tff(9024,plain,
% 3.54/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.54/3.72 inference(modus_ponens,[status(thm)],[9023, 9022])).
% 3.54/3.72 tff(9025,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9024, 91, 348, 9018, 72, 316, 297])).
% 3.54/3.72 tff(9026,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(9027,plain,
% 3.54/3.72 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9026, 72, 316, 297, 8626, 9004, 8996, 177, 8956])).
% 3.54/3.72 tff(9028,plain,
% 3.54/3.72 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1313, 9027])).
% 3.54/3.72 tff(9029,plain,
% 3.54/3.72 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[3299, 9028, 8626, 115, 9004])).
% 3.54/3.72 tff(9030,plain,
% 3.54/3.72 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[542, 9029])).
% 3.54/3.72 tff(9031,plain,
% 3.54/3.72 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8744, 9028, 177, 8560, 297, 8626, 115, 9004])).
% 3.54/3.72 tff(9032,plain,
% 3.54/3.72 (b(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1093, 9031])).
% 3.54/3.72 tff(9033,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[6938, 9032, 9030, 316, 72])).
% 3.54/3.72 tff(9034,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(9035,plain,
% 3.54/3.72 (~b(s(z), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9034, 565, 177, 297, 115, 316])).
% 3.54/3.72 tff(9036,plain,
% 3.54/3.72 (r(s(z), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[408, 9035])).
% 3.54/3.72 tff(9037,plain,
% 3.54/3.72 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[419, 79, 316, 81])).
% 3.54/3.72 tff(9038,plain,
% 3.54/3.72 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1313, 9037])).
% 3.54/3.72 tff(9039,plain,
% 3.54/3.72 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[3299, 9038, 204, 115, 410])).
% 3.54/3.72 tff(9040,plain,
% 3.54/3.72 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[542, 9039])).
% 3.54/3.72 tff(9041,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[5970, 79, 316, 81])).
% 3.54/3.72 tff(9042,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[246, 9041])).
% 3.54/3.72 tff(9043,plain,
% 3.54/3.72 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[4195, 9042, 115, 9038])).
% 3.54/3.72 tff(9044,plain,
% 3.54/3.72 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[336, 9043])).
% 3.54/3.72 tff(9045,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[2955, 9044, 9040, 297, 177])).
% 3.54/3.72 tff(9046,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(9047,plain,
% 3.54/3.72 (~b(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9046, 8626, 177, 115, 297, 8986, 316, 8968])).
% 3.54/3.72 tff(9048,plain,
% 3.54/3.72 (r(s(s(s(s(s(z))))), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[427, 9047])).
% 3.54/3.72 tff(9049,plain,
% 3.54/3.72 (~r(z, s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[447, 9048, 9036, 8986])).
% 3.54/3.72 tff(9050,plain,
% 3.54/3.72 (b(z, s(z))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[267, 9049])).
% 3.54/3.72 tff(9051,plain,
% 3.54/3.72 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8706, 9050, 316, 297])).
% 3.54/3.72 tff(9052,plain,
% 3.54/3.72 (r(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1093, 9051])).
% 3.54/3.72 tff(9053,plain,
% 3.54/3.72 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8744, 9052, 177, 8560, 297, 8626, 115, 8986])).
% 3.54/3.72 tff(9054,plain,
% 3.54/3.72 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[1313, 9053])).
% 3.54/3.72 tff(9055,plain,
% 3.54/3.72 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[8622, 9052, 8560, 8626])).
% 3.54/3.72 tff(9056,plain,
% 3.54/3.72 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[336, 9055])).
% 3.54/3.72 tff(9057,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9014, 9056, 9054, 8968, 8984, 316, 8986, 297, 177])).
% 3.54/3.72 tff(9058,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(9059,plain,
% 3.54/3.72 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9058, 115, 297, 177, 316])).
% 3.54/3.72 tff(9060,plain,
% 3.54/3.72 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[563, 9059])).
% 3.54/3.72 tff(9061,plain,
% 3.54/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(9062,plain,
% 3.54/3.72 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(9063,plain,
% 3.54/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 3.54/3.72 inference(monotonicity,[status(thm)],[9062])).
% 3.54/3.72 tff(9064,plain,
% 3.54/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.54/3.72 inference(transitivity,[status(thm)],[9063, 9061])).
% 3.54/3.72 tff(9065,plain,
% 3.54/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.54/3.72 inference(quant_inst,[status(thm)],[])).
% 3.54/3.72 tff(9066,plain,
% 3.54/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 3.54/3.72 inference(modus_ponens,[status(thm)],[9065, 9064])).
% 3.54/3.72 tff(9067,plain,
% 3.54/3.72 ($false),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9066, 125, 135, 411, 1020, 80])).
% 3.54/3.72 tff(9068,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.72 tff(9069,plain,
% 3.54/3.72 (~r(s(z), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[9068, 9060, 8560, 8956])).
% 3.54/3.72 tff(9070,plain,
% 3.54/3.72 (b(s(z), z)),
% 3.54/3.72 inference(unit_resolution,[status(thm)],[408, 9069])).
% 3.54/3.72 tff(9071,plain,
% 3.54/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(9072,plain,
% 3.54/3.72 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.72 inference(rewrite,[status(thm)],[])).
% 3.54/3.72 tff(9073,plain,
% 3.54/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 3.54/3.72 inference(monotonicity,[status(thm)],[9072])).
% 3.54/3.72 tff(9074,plain,
% 3.54/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.72 inference(transitivity,[status(thm)],[9073, 9071])).
% 3.54/3.72 tff(9075,plain,
% 3.54/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.72 inference(quant_inst,[status(thm)],[])).
% 3.54/3.73 tff(9076,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.54/3.73 inference(modus_ponens,[status(thm)],[9075, 9074])).
% 3.54/3.73 tff(9077,plain,
% 3.54/3.73 ($false),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9076, 91, 429, 72, 316, 297])).
% 3.54/3.73 tff(9078,plain,((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.73 tff(9079,plain,
% 3.54/3.73 (~b(z, s(z))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9078, 9070, 316, 297])).
% 3.54/3.73 tff(9080,plain,
% 3.54/3.73 (r(z, s(z))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[267, 9079])).
% 3.54/3.73 tff(9081,plain,
% 3.54/3.73 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[8602, 9080, 177, 8560, 297, 9060])).
% 3.54/3.73 tff(9082,plain,
% 3.54/3.73 (b(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[1093, 9081])).
% 3.54/3.73 tff(9083,plain,
% 3.54/3.73 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9084,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 3.54/3.73 inference(monotonicity,[status(thm)],[9083])).
% 3.54/3.73 tff(9085,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 3.54/3.73 inference(transitivity,[status(thm)],[9084, 5397])).
% 3.54/3.73 tff(9086,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.73 inference(quant_inst,[status(thm)],[])).
% 3.54/3.73 tff(9087,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 3.54/3.73 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 3.54/3.73 tff(9088,plain,
% 3.54/3.73 ($false),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9087, 91, 9082, 9070, 316, 297])).
% 3.54/3.73 tff(9089,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.73 tff(9090,plain,
% 3.54/3.73 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9089, 177, 297, 316])).
% 3.54/3.73 tff(9091,plain,
% 3.54/3.73 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[689, 9090])).
% 3.54/3.73 tff(9092,plain,
% 3.54/3.73 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[4395, 77, 177, 9091])).
% 3.54/3.73 tff(9093,plain,
% 3.54/3.73 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[563, 9092])).
% 3.54/3.73 tff(9094,plain,
% 3.54/3.73 (~b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[4355, 77, 177, 9091])).
% 3.54/3.73 tff(9095,plain,
% 3.54/3.73 (r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[163, 9094])).
% 3.54/3.73 tff(9096,plain,
% 3.54/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9097,plain,
% 3.54/3.73 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9098,plain,
% 3.54/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 3.54/3.73 inference(monotonicity,[status(thm)],[9097])).
% 3.54/3.73 tff(9099,plain,
% 3.54/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 3.54/3.73 inference(transitivity,[status(thm)],[9098, 9096])).
% 3.54/3.73 tff(9100,plain,
% 3.54/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.54/3.73 inference(quant_inst,[status(thm)],[])).
% 3.54/3.73 tff(9101,plain,
% 3.54/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 3.54/3.73 inference(modus_ponens,[status(thm)],[9100, 9099])).
% 3.54/3.73 tff(9102,plain,
% 3.54/3.73 ($false),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9101, 125, 135, 411, 71, 80, 136])).
% 3.54/3.73 tff(9103,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.73 tff(9104,plain,
% 3.54/3.73 (~r(s(s(s(s(s(z))))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9103, 9095, 8560, 411, 9093])).
% 3.54/3.73 tff(9105,plain,
% 3.54/3.73 (b(s(s(s(s(s(z))))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[427, 9104])).
% 3.54/3.73 tff(9106,plain,
% 3.54/3.73 (~r(s(s(s(s(z)))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9068, 9093, 8560, 411])).
% 3.54/3.73 tff(9107,plain,
% 3.54/3.73 (b(s(s(s(s(z)))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[314, 9106])).
% 3.54/3.73 tff(9108,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9109,plain,
% 3.54/3.73 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9110,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.54/3.73 inference(monotonicity,[status(thm)],[9109])).
% 3.54/3.73 tff(9111,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.73 inference(transitivity,[status(thm)],[9110, 9108])).
% 3.54/3.73 tff(9112,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.73 inference(quant_inst,[status(thm)],[])).
% 3.54/3.73 tff(9113,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 3.54/3.73 inference(modus_ponens,[status(thm)],[9112, 9111])).
% 3.54/3.73 tff(9114,plain,
% 3.54/3.73 ($false),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9113, 91, 79, 81, 669, 74])).
% 3.54/3.73 tff(9115,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.73 tff(9116,plain,
% 3.54/3.73 (~b(z, s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9115, 9107, 9091, 9105])).
% 3.54/3.73 tff(9117,plain,
% 3.54/3.73 (r(z, s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[113, 9116])).
% 3.54/3.73 tff(9118,plain,
% 3.54/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9119,plain,
% 3.54/3.73 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9120,plain,
% 3.54/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.54/3.73 inference(monotonicity,[status(thm)],[9119])).
% 3.54/3.73 tff(9121,plain,
% 3.54/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.54/3.73 inference(transitivity,[status(thm)],[9120, 9118])).
% 3.54/3.73 tff(9122,plain,
% 3.54/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 3.54/3.73 inference(quant_inst,[status(thm)],[])).
% 3.54/3.73 tff(9123,plain,
% 3.54/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.54/3.73 inference(modus_ponens,[status(thm)],[9122, 9121])).
% 3.54/3.73 tff(9124,plain,
% 3.54/3.73 ($false),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9123, 125, 75, 270, 80, 73, 136])).
% 3.54/3.73 tff(9125,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.73 tff(9126,plain,
% 3.54/3.73 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9125, 75, 270, 80, 73])).
% 3.54/3.73 tff(9127,plain,
% 3.54/3.73 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[161, 64, 9126, 156])).
% 3.54/3.73 tff(9128,plain,
% 3.54/3.73 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[4355, 9127, 77, 177])).
% 3.54/3.73 tff(9129,plain,
% 3.54/3.73 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[689, 9128])).
% 3.54/3.73 tff(9130,plain,
% 3.54/3.73 ($false),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[131, 125, 75, 80, 73, 9129])).
% 3.54/3.73 tff(9131,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.73 tff(9132,plain,
% 3.54/3.73 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9131, 9117, 8560, 177, 77, 270])).
% 3.54/3.73 tff(9133,plain,
% 3.54/3.73 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[369, 9132])).
% 3.54/3.73 tff(9134,plain,
% 3.54/3.73 ($false),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[355, 91, 77, 177, 9107, 316, 9133, 297])).
% 3.54/3.73 tff(9135,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.73 tff(9136,plain,
% 3.54/3.73 (~b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9135, 8726, 316, 297, 177, 5404])).
% 3.54/3.73 tff(9137,plain,
% 3.54/3.73 (r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[394, 9136])).
% 3.54/3.73 tff(9138,plain,
% 3.54/3.73 (~r(s(s(s(s(s(z))))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[447, 9137, 8726, 5404])).
% 3.54/3.73 tff(9139,plain,
% 3.54/3.73 (b(s(s(s(s(s(z))))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[427, 9138])).
% 3.54/3.73 tff(9140,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9141,plain,
% 3.54/3.73 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9142,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.54/3.73 inference(monotonicity,[status(thm)],[9141])).
% 3.54/3.73 tff(9143,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.73 inference(transitivity,[status(thm)],[9142, 9140])).
% 3.54/3.73 tff(9144,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.54/3.73 inference(quant_inst,[status(thm)],[])).
% 3.54/3.73 tff(9145,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.54/3.73 inference(modus_ponens,[status(thm)],[9144, 9143])).
% 3.54/3.73 tff(9146,plain,
% 3.54/3.73 (~b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9145, 91, 9139, 1073, 9091, 177, 297])).
% 3.54/3.73 tff(9147,plain,
% 3.54/3.73 (r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[163, 9146])).
% 3.54/3.73 tff(9148,plain,
% 3.54/3.73 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[511, 9147, 8726, 9137])).
% 3.54/3.73 tff(9149,plain,
% 3.54/3.73 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[113, 9148])).
% 3.54/3.73 tff(9150,plain,
% 3.54/3.73 (~b(s(s(s(s(z)))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[9115, 81, 669, 79])).
% 3.54/3.73 tff(9151,plain,
% 3.54/3.73 (r(s(s(s(s(z)))), z)),
% 3.54/3.73 inference(unit_resolution,[status(thm)],[314, 9150])).
% 3.54/3.73 tff(9152,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9153,plain,
% 3.54/3.73 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.73 inference(rewrite,[status(thm)],[])).
% 3.54/3.73 tff(9154,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.54/3.73 inference(monotonicity,[status(thm)],[9153])).
% 3.54/3.73 tff(9155,plain,
% 3.54/3.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.73 inference(transitivity,[status(thm)],[9154, 9152])).
% 3.54/3.73 tff(9156,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.54/3.73 inference(quant_inst,[status(thm)],[])).
% 3.54/3.73 tff(9157,plain,
% 3.54/3.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 3.54/3.74 tff(9158,plain,
% 3.54/3.74 ($false),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9157, 91, 4456, 79, 81, 5653, 669])).
% 3.54/3.74 tff(9159,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.74 tff(9160,plain,
% 3.54/3.74 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9159, 5653, 81, 79, 669])).
% 3.54/3.74 tff(9161,plain,
% 3.54/3.74 (r(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[4476, 9160])).
% 3.54/3.74 tff(9162,plain,
% 3.54/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9163,plain,
% 3.54/3.74 (((~r(s(s(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)))))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9164,plain,
% 3.54/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))))),
% 3.54/3.74 inference(monotonicity,[status(thm)],[9163])).
% 3.54/3.74 tff(9165,plain,
% 3.54/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 3.54/3.74 inference(transitivity,[status(thm)],[9164, 9162])).
% 3.54/3.74 tff(9166,plain,
% 3.54/3.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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)))))) | (~r(s(s(z)), z)))),
% 3.54/3.74 inference(quant_inst,[status(thm)],[])).
% 3.54/3.74 tff(9167,plain,
% 3.54/3.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))),
% 3.54/3.74 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 3.54/3.74 tff(9168,plain,
% 3.54/3.74 ($false),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9167, 125, 1020, 836, 80, 4539])).
% 3.54/3.74 tff(9169,plain,((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.74 tff(9170,plain,
% 3.54/3.74 (~r(s(s(z)), z)),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9169, 9161, 80, 9151])).
% 3.54/3.74 tff(9171,plain,
% 3.54/3.74 (b(s(s(z)), z)),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[898, 9170])).
% 3.54/3.74 tff(9172,plain,
% 3.54/3.74 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9173,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.54/3.74 inference(monotonicity,[status(thm)],[9172])).
% 3.54/3.74 tff(9174,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.74 inference(transitivity,[status(thm)],[9173, 900])).
% 3.54/3.74 tff(9175,plain,
% 3.54/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 3.54/3.74 inference(quant_inst,[status(thm)],[])).
% 3.54/3.74 tff(9176,plain,
% 3.54/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(modus_ponens,[status(thm)],[9175, 9174])).
% 3.54/3.74 tff(9177,plain,
% 3.54/3.74 ($false),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9176, 91, 9171, 79, 81, 5653])).
% 3.54/3.74 tff(9178,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.74 tff(9179,plain,
% 3.54/3.74 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9178, 9139, 9149, 8560, 9091])).
% 3.54/3.74 tff(9180,plain,
% 3.54/3.74 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[5666, 9179])).
% 3.54/3.74 tff(9181,plain,
% 3.54/3.74 (~r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[447, 5528, 8726, 5404])).
% 3.54/3.74 tff(9182,plain,
% 3.54/3.74 (b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[394, 9181])).
% 3.54/3.74 tff(9183,plain,
% 3.54/3.74 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[4395, 9182, 177, 9091])).
% 3.54/3.74 tff(9184,plain,
% 3.54/3.74 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[563, 9183])).
% 3.54/3.74 tff(9185,plain,
% 3.54/3.74 (~b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[4419, 9182, 297, 348])).
% 3.54/3.74 tff(9186,plain,
% 3.54/3.74 (r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[163, 9185])).
% 3.54/3.74 tff(9187,plain,
% 3.54/3.74 ($false),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9103, 9186, 9184, 8560, 5404, 5528])).
% 3.54/3.74 tff(9188,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.74 tff(9189,plain,
% 3.54/3.74 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9188, 1073, 177, 297, 316])).
% 3.54/3.74 tff(9190,plain,
% 3.54/3.74 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[1313, 9189])).
% 3.54/3.74 tff(9191,plain,
% 3.54/3.74 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[6212, 9139, 316, 1073])).
% 3.54/3.74 tff(9192,plain,
% 3.54/3.74 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[246, 9191])).
% 3.54/3.74 tff(9193,plain,
% 3.54/3.74 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[5715, 9180, 9192, 9190])).
% 3.54/3.74 tff(9194,plain,
% 3.54/3.74 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[5705, 9193])).
% 3.54/3.74 tff(9195,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9196,plain,
% 3.54/3.74 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9197,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 3.54/3.74 inference(monotonicity,[status(thm)],[9196])).
% 3.54/3.74 tff(9198,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.74 inference(transitivity,[status(thm)],[9197, 9195])).
% 3.54/3.74 tff(9199,plain,
% 3.54/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.74 inference(quant_inst,[status(thm)],[])).
% 3.54/3.74 tff(9200,plain,
% 3.54/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 3.54/3.74 inference(modus_ponens,[status(thm)],[9199, 9198])).
% 3.54/3.74 tff(9201,plain,
% 3.54/3.74 ($false),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9200, 91, 1073, 5148, 316, 3451, 297])).
% 3.54/3.74 tff(9202,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.74 tff(9203,plain,
% 3.54/3.74 (~b(s(s(z)), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9202, 9194, 297, 316, 1073])).
% 3.54/3.74 tff(9204,plain,
% 3.54/3.74 (r(s(s(z)), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[857, 9203])).
% 3.54/3.74 tff(9205,plain,
% 3.54/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9206,plain,
% 3.54/3.74 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9207,plain,
% 3.54/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))))),
% 3.54/3.74 inference(monotonicity,[status(thm)],[9206])).
% 3.54/3.74 tff(9208,plain,
% 3.54/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.74 inference(transitivity,[status(thm)],[9207, 9205])).
% 3.54/3.74 tff(9209,plain,
% 3.54/3.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.74 inference(quant_inst,[status(thm)],[])).
% 3.54/3.74 tff(9210,plain,
% 3.54/3.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 3.54/3.74 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 3.54/3.74 tff(9211,plain,
% 3.54/3.74 ($false),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9210, 125, 9137, 9147, 9204, 9180])).
% 3.54/3.74 tff(9212,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.74 tff(9213,plain,
% 3.54/3.74 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9212, 177, 316, 297])).
% 3.54/3.74 tff(9214,plain,
% 3.54/3.74 (r(z, s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[1093, 9213])).
% 3.54/3.74 tff(9215,plain,
% 3.54/3.74 (~b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[4395, 565, 177, 9091])).
% 3.54/3.74 tff(9216,plain,
% 3.54/3.74 (r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[394, 9215])).
% 3.54/3.74 tff(9217,plain,
% 3.54/3.74 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[8622, 8626, 8560, 9214])).
% 3.54/3.74 tff(9218,plain,
% 3.54/3.74 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[336, 9217])).
% 3.54/3.74 tff(9219,plain,
% 3.54/3.74 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[2955, 9218, 297, 177])).
% 3.54/3.74 tff(9220,plain,
% 3.54/3.74 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[542, 9219])).
% 3.54/3.74 tff(9221,plain,
% 3.54/3.74 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[654, 9220, 71, 9214, 9216])).
% 3.54/3.74 tff(9222,plain,
% 3.54/3.74 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[246, 9221])).
% 3.54/3.74 tff(9223,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9224,plain,
% 3.54/3.74 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.54/3.74 inference(rewrite,[status(thm)],[])).
% 3.54/3.74 tff(9225,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.54/3.74 inference(monotonicity,[status(thm)],[9224])).
% 3.54/3.74 tff(9226,plain,
% 3.54/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.54/3.74 inference(transitivity,[status(thm)],[9225, 9223])).
% 3.54/3.74 tff(9227,plain,
% 3.54/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.54/3.74 inference(quant_inst,[status(thm)],[])).
% 3.54/3.74 tff(9228,plain,
% 3.54/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.54/3.74 inference(modus_ponens,[status(thm)],[9227, 9226])).
% 3.54/3.74 tff(9229,plain,
% 3.54/3.74 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[9228, 91, 9218, 9091, 316, 9222])).
% 3.54/3.74 tff(9230,plain,
% 3.54/3.74 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[1313, 9229])).
% 3.54/3.74 tff(9231,plain,
% 3.54/3.74 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.74 inference(unit_resolution,[status(thm)],[4882, 9230, 9220, 9216])).
% 3.54/3.74 tff(9232,plain,
% 3.54/3.74 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[163, 9231])).
% 3.54/3.75 tff(9233,plain,
% 3.54/3.75 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[6663, 9232, 9091, 565])).
% 3.54/3.75 tff(9234,plain,
% 3.54/3.75 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[369, 9233])).
% 3.54/3.75 tff(9235,plain,
% 3.54/3.75 (~b(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4902, 9232, 177, 9091, 9222, 316])).
% 3.54/3.75 tff(9236,plain,
% 3.54/3.75 (r(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[408, 9235])).
% 3.54/3.75 tff(9237,plain,
% 3.54/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9238,plain,
% 3.54/3.75 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9239,plain,
% 3.54/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.54/3.75 inference(monotonicity,[status(thm)],[9238])).
% 3.54/3.75 tff(9240,plain,
% 3.54/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.75 inference(transitivity,[status(thm)],[9239, 9237])).
% 3.54/3.75 tff(9241,plain,
% 3.54/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.54/3.75 inference(quant_inst,[status(thm)],[])).
% 3.54/3.75 tff(9242,plain,
% 3.54/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.54/3.75 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 3.54/3.75 tff(9243,plain,
% 3.54/3.75 ($false),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9242, 125, 9216, 9236, 71, 8560, 9234])).
% 3.54/3.75 tff(9244,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9245,plain,
% 3.54/3.75 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9244, 71, 177, 316, 297])).
% 3.54/3.75 tff(9246,plain,
% 3.54/3.75 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[563, 9245])).
% 3.54/3.75 tff(9247,plain,
% 3.54/3.75 (~r(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[8602, 9246, 177, 8560, 297, 9214])).
% 3.54/3.75 tff(9248,plain,
% 3.54/3.75 (b(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[267, 9247])).
% 3.54/3.75 tff(9249,plain,
% 3.54/3.75 (~b(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9078, 9248, 316, 297])).
% 3.54/3.75 tff(9250,plain,
% 3.54/3.75 (r(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[408, 9249])).
% 3.54/3.75 tff(9251,plain,
% 3.54/3.75 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9103, 9250, 8560, 71, 9246])).
% 3.54/3.75 tff(9252,plain,
% 3.54/3.75 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[163, 9251])).
% 3.54/3.75 tff(9253,plain,
% 3.54/3.75 (~b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4355, 9252, 177, 9091])).
% 3.54/3.75 tff(9254,plain,
% 3.54/3.75 (r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[394, 9253])).
% 3.54/3.75 tff(9255,plain,
% 3.54/3.75 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[5260, 9254, 9214, 9250, 71])).
% 3.54/3.75 tff(9256,plain,
% 3.54/3.75 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[246, 9255])).
% 3.54/3.75 tff(9257,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4323, 9256, 297, 9252])).
% 3.54/3.75 tff(9258,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[542, 9257])).
% 3.54/3.75 tff(9259,plain,
% 3.54/3.75 (~r(s(s(s(s(z)))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9068, 9250, 8560, 9246])).
% 3.54/3.75 tff(9260,plain,
% 3.54/3.75 (b(s(s(s(s(z)))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[314, 9259])).
% 3.54/3.75 tff(9261,plain,
% 3.54/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9262,plain,
% 3.54/3.75 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9263,plain,
% 3.54/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.54/3.75 inference(monotonicity,[status(thm)],[9262])).
% 3.54/3.75 tff(9264,plain,
% 3.54/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.75 inference(transitivity,[status(thm)],[9263, 9261])).
% 3.54/3.75 tff(9265,plain,
% 3.54/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.75 inference(quant_inst,[status(thm)],[])).
% 3.54/3.75 tff(9266,plain,
% 3.54/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 3.54/3.75 inference(modus_ponens,[status(thm)],[9265, 9264])).
% 3.54/3.75 tff(9267,plain,
% 3.54/3.75 ($false),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9266, 91, 76, 429, 176, 669, 74, 316])).
% 3.54/3.75 tff(9268,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9269,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9268, 9248, 9252, 9091, 9260, 316])).
% 3.54/3.75 tff(9270,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[69, 9269])).
% 3.54/3.75 tff(9271,plain,
% 3.54/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9272,plain,
% 3.54/3.75 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9273,plain,
% 3.54/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.54/3.75 inference(monotonicity,[status(thm)],[9272])).
% 3.54/3.75 tff(9274,plain,
% 3.54/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.75 inference(transitivity,[status(thm)],[9273, 9271])).
% 3.54/3.75 tff(9275,plain,
% 3.54/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 3.54/3.75 inference(quant_inst,[status(thm)],[])).
% 3.54/3.75 tff(9276,plain,
% 3.54/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.54/3.75 inference(modus_ponens,[status(thm)],[9275, 9274])).
% 3.54/3.75 tff(9277,plain,
% 3.54/3.75 ($false),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9276, 125, 75, 9230, 9214, 8560, 9234])).
% 3.54/3.75 tff(9278,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9279,plain,
% 3.54/3.75 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9278, 75, 316, 71, 297, 177])).
% 3.54/3.75 tff(9280,plain,
% 3.54/3.75 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[563, 9279])).
% 3.54/3.75 tff(9281,plain,
% 3.54/3.75 (~r(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[8602, 9280, 177, 8560, 297, 9214])).
% 3.54/3.75 tff(9282,plain,
% 3.54/3.75 (b(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[267, 9281])).
% 3.54/3.75 tff(9283,plain,
% 3.54/3.75 (~b(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9078, 9282, 316, 297])).
% 3.54/3.75 tff(9284,plain,
% 3.54/3.75 (r(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[408, 9283])).
% 3.54/3.75 tff(9285,plain,
% 3.54/3.75 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9103, 9284, 8560, 71, 9280])).
% 3.54/3.75 tff(9286,plain,
% 3.54/3.75 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[163, 9285])).
% 3.54/3.75 tff(9287,plain,
% 3.54/3.75 (~b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4355, 9286, 177, 9091])).
% 3.54/3.75 tff(9288,plain,
% 3.54/3.75 (r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[394, 9287])).
% 3.54/3.75 tff(9289,plain,
% 3.54/3.75 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[5260, 9288, 9214, 9284, 71])).
% 3.54/3.75 tff(9290,plain,
% 3.54/3.75 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[246, 9289])).
% 3.54/3.75 tff(9291,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4323, 9290, 297, 9286])).
% 3.54/3.75 tff(9292,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[542, 9291])).
% 3.54/3.75 tff(9293,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[501, 9290, 297, 9286])).
% 3.54/3.75 tff(9294,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[1313, 9293])).
% 3.54/3.75 tff(9295,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[8766, 9294, 8560, 75, 9214])).
% 3.54/3.75 tff(9296,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[69, 9295])).
% 3.54/3.75 tff(9297,plain,
% 3.54/3.75 ($false),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4313, 125, 9288, 9294, 9296, 9280, 9292])).
% 3.54/3.75 tff(9298,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9299,plain,
% 3.54/3.75 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9298, 71, 297, 177, 316])).
% 3.54/3.75 tff(9300,plain,
% 3.54/3.75 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[113, 9299])).
% 3.54/3.75 tff(9301,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[437, 9260, 297, 9300, 9248, 177])).
% 3.54/3.75 tff(9302,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[1313, 9301])).
% 3.54/3.75 tff(9303,plain,
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% 3.54/3.75 inference(unit_resolution,[status(thm)],[4313, 125, 9254, 9302, 9270, 9246, 9258])).
% 3.54/3.75 tff(9304,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9305,plain,
% 3.54/3.75 (~r(s(s(s(s(s(z))))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9304, 177, 297, 316])).
% 3.54/3.75 tff(9306,plain,
% 3.54/3.75 (b(s(s(s(s(s(z))))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[427, 9305])).
% 3.54/3.75 tff(9307,plain,
% 3.54/3.75 (~b(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9078, 72, 316, 297])).
% 3.54/3.75 tff(9308,plain,
% 3.54/3.75 (r(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[267, 9307])).
% 3.54/3.75 tff(9309,plain,
% 3.54/3.75 (~r(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[8602, 9308, 177, 8560, 297, 9214])).
% 3.54/3.75 tff(9310,plain,
% 3.54/3.75 (b(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[563, 9309])).
% 3.54/3.75 tff(9311,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[8612, 9310, 177, 297])).
% 3.54/3.75 tff(9312,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[69, 9311])).
% 3.54/3.75 tff(9313,plain,
% 3.54/3.75 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[8622, 9312, 8560, 9214])).
% 3.54/3.75 tff(9314,plain,
% 3.54/3.75 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[336, 9313])).
% 3.54/3.75 tff(9315,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[2955, 9314, 297, 177])).
% 3.54/3.75 tff(9316,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[542, 9315])).
% 3.54/3.75 tff(9317,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[1322, 9314, 297, 177, 72, 9306])).
% 3.54/3.75 tff(9318,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[1313, 9317])).
% 3.54/3.75 tff(9319,plain,
% 3.54/3.75 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4882, 9318, 9316, 410])).
% 3.54/3.75 tff(9320,plain,
% 3.54/3.75 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[163, 9319])).
% 3.54/3.75 tff(9321,plain,
% 3.54/3.75 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[4902, 9320, 177, 9091, 72, 316])).
% 3.54/3.75 tff(9322,plain,
% 3.54/3.75 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[246, 9321])).
% 3.54/3.75 tff(9323,plain,
% 3.54/3.75 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[224, 9322, 9214, 9318])).
% 3.54/3.75 tff(9324,plain,
% 3.54/3.75 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[113, 9323])).
% 3.54/3.75 tff(9325,plain,
% 3.54/3.75 ($false),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[6326, 91, 9306, 9324, 9320, 72])).
% 3.54/3.75 tff(9326,plain,((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9327,plain,
% 3.54/3.75 (~b(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9326, 410, 316, 177, 297])).
% 3.54/3.75 tff(9328,plain,
% 3.54/3.75 (r(s(z), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[408, 9327])).
% 3.54/3.75 tff(9329,plain,
% 3.54/3.75 (~b(z, s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[419, 348, 316, 9306])).
% 3.54/3.75 tff(9330,plain,
% 3.54/3.75 (r(z, s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[113, 9329])).
% 3.54/3.75 tff(9331,plain,
% 3.54/3.75 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[8622, 204, 8560, 9214])).
% 3.54/3.75 tff(9332,plain,
% 3.54/3.75 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[336, 9331])).
% 3.54/3.75 tff(9333,plain,
% 3.54/3.75 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[2955, 9332, 297, 177])).
% 3.54/3.75 tff(9334,plain,
% 3.54/3.75 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[542, 9333])).
% 3.54/3.75 tff(9335,plain,
% 3.54/3.75 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[726, 270, 316, 411, 410, 348])).
% 3.54/3.75 tff(9336,plain,
% 3.54/3.75 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[163, 9335])).
% 3.54/3.75 tff(9337,plain,
% 3.54/3.75 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[501, 9336, 297, 348])).
% 3.54/3.75 tff(9338,plain,
% 3.54/3.75 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[246, 9337])).
% 3.54/3.75 tff(9339,plain,
% 3.54/3.75 ($false),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[1251, 125, 75, 215, 270, 9338, 545])).
% 3.54/3.75 tff(9340,plain,((~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9341,plain,
% 3.54/3.75 (~r(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9340, 9334, 9214, 9330, 297, 348, 316, 9328, 410])).
% 3.54/3.75 tff(9342,plain,
% 3.54/3.75 (b(z, s(z))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[267, 9341])).
% 3.54/3.75 tff(9343,plain,
% 3.54/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9344,plain,
% 3.54/3.75 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(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(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.75 inference(rewrite,[status(thm)],[])).
% 3.54/3.75 tff(9345,plain,
% 3.54/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.54/3.75 inference(monotonicity,[status(thm)],[9344])).
% 3.54/3.75 tff(9346,plain,
% 3.54/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.75 inference(transitivity,[status(thm)],[9345, 9343])).
% 3.54/3.75 tff(9347,plain,
% 3.54/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.54/3.75 inference(quant_inst,[status(thm)],[])).
% 3.54/3.75 tff(9348,plain,
% 3.54/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.54/3.75 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 3.54/3.75 tff(9349,plain,
% 3.54/3.75 ($false),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9348, 91, 565, 429, 318, 177, 316, 297])).
% 3.54/3.75 tff(9350,plain,((~b(z, s(z))) | (~b(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(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.75 tff(9351,plain,
% 3.54/3.75 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9350, 9342, 9332, 177, 316, 297])).
% 3.54/3.75 tff(9352,plain,
% 3.54/3.75 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[563, 9351])).
% 3.54/3.75 tff(9353,plain,
% 3.54/3.75 (~r(s(s(s(s(z)))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[9068, 9352, 8560, 9328])).
% 3.54/3.75 tff(9354,plain,
% 3.54/3.75 (b(s(s(s(s(z)))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[314, 9353])).
% 3.54/3.75 tff(9355,plain,
% 3.54/3.75 (~r(s(s(s(s(s(z))))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[654, 5036, 410, 215, 9012])).
% 3.54/3.75 tff(9356,plain,
% 3.54/3.75 (b(s(s(s(s(s(z))))), z)),
% 3.54/3.75 inference(unit_resolution,[status(thm)],[427, 9355])).
% 3.54/3.75 tff(9357,plain,
% 3.54/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9358,plain,
% 3.54/3.76 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9359,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.54/3.76 inference(monotonicity,[status(thm)],[9358])).
% 3.54/3.76 tff(9360,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.76 inference(transitivity,[status(thm)],[9359, 9357])).
% 3.54/3.76 tff(9361,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.54/3.76 inference(quant_inst,[status(thm)],[])).
% 3.54/3.76 tff(9362,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.54/3.76 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 3.54/3.76 tff(9363,plain,
% 3.54/3.76 ($false),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9362, 91, 9356, 429, 318, 74, 349, 297])).
% 3.54/3.76 tff(9364,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.76 tff(9365,plain,
% 3.54/3.76 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9364, 9354, 348, 9332, 297, 410, 9214, 9342, 177])).
% 3.54/3.76 tff(9366,plain,
% 3.54/3.76 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[369, 9365])).
% 3.54/3.76 tff(9367,plain,
% 3.54/3.76 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[2993, 9366, 9352, 410, 9334])).
% 3.54/3.76 tff(9368,plain,
% 3.54/3.76 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[246, 9367])).
% 3.54/3.76 tff(9369,plain,
% 3.54/3.76 (~b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[501, 9368, 297, 348])).
% 3.54/3.76 tff(9370,plain,
% 3.54/3.76 (r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[163, 9369])).
% 3.54/3.76 tff(9371,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9372,plain,
% 3.54/3.76 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9373,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, 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(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.54/3.76 inference(monotonicity,[status(thm)],[9372])).
% 3.54/3.76 tff(9374,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, 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(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.76 inference(transitivity,[status(thm)],[9373, 9371])).
% 3.54/3.76 tff(9375,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.54/3.76 inference(quant_inst,[status(thm)],[])).
% 3.54/3.76 tff(9376,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.54/3.76 inference(modus_ponens,[status(thm)],[9375, 9374])).
% 3.54/3.76 tff(9377,plain,
% 3.54/3.76 ($false),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9376, 91, 4456, 79, 429, 5653, 669, 177])).
% 3.54/3.76 tff(9378,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.76 tff(9379,plain,
% 3.54/3.76 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9378, 4456, 429, 79, 669, 177])).
% 3.54/3.76 tff(9380,plain,
% 3.54/3.76 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[5666, 9379])).
% 3.54/3.76 tff(9381,plain,
% 3.54/3.76 (~r(s(s(z)), s(z))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9210, 125, 410, 136, 9380])).
% 3.54/3.76 tff(9382,plain,
% 3.54/3.76 (b(s(s(z)), s(z))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[857, 9381])).
% 3.54/3.76 tff(9383,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9384,plain,
% 3.54/3.76 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(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(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9385,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 3.54/3.76 inference(monotonicity,[status(thm)],[9384])).
% 3.54/3.76 tff(9386,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(transitivity,[status(thm)],[9385, 9383])).
% 3.54/3.76 tff(9387,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(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)))))))),
% 3.54/3.76 inference(quant_inst,[status(thm)],[])).
% 3.54/3.76 tff(9388,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 3.54/3.76 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 3.54/3.76 tff(9389,plain,
% 3.54/3.76 ($false),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9388, 91, 4456, 348, 669, 177, 9382, 297])).
% 3.54/3.76 tff(9390,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.76 tff(9391,plain,
% 3.54/3.76 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9390, 9370, 9091, 177, 297, 410, 348, 9342, 9306])).
% 3.54/3.76 tff(9392,plain,
% 3.54/3.76 (r(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[4476, 9391])).
% 3.54/3.76 tff(9393,plain,
% 3.54/3.76 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9350, 429, 9332, 177, 316, 297])).
% 3.54/3.76 tff(9394,plain,
% 3.54/3.76 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[563, 9393])).
% 3.54/3.76 tff(9395,plain,
% 3.54/3.76 (~r(s(z), s(s(z)))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[8796, 836, 135, 8560, 411])).
% 3.54/3.76 tff(9396,plain,
% 3.54/3.76 (b(s(z), s(s(z)))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[1004, 9395])).
% 3.54/3.76 tff(9397,plain,
% 3.54/3.76 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[6517, 836])).
% 3.54/3.76 tff(9398,plain,
% 3.54/3.76 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[5705, 9397])).
% 3.54/3.76 tff(9399,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9400,plain,
% 3.54/3.76 (((~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9401,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 3.54/3.76 inference(monotonicity,[status(thm)],[9400])).
% 3.54/3.76 tff(9402,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(transitivity,[status(thm)],[9401, 9399])).
% 3.54/3.76 tff(9403,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))))),
% 3.54/3.76 inference(quant_inst,[status(thm)],[])).
% 3.54/3.76 tff(9404,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 3.54/3.76 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 3.54/3.76 tff(9405,plain,
% 3.54/3.76 ((~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9404, 91, 429, 316, 3451, 297])).
% 3.54/3.76 tff(9406,plain,
% 3.54/3.76 ($false),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9405, 9398, 9396])).
% 3.54/3.76 tff(9407,plain,((~r(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.76 tff(9408,plain,
% 3.54/3.76 (~r(s(s(z)), z)),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9407, 3451, 316, 429, 297, 9214, 204, 4539, 9394, 411])).
% 3.54/3.76 tff(9409,plain,
% 3.54/3.76 (b(s(s(z)), z)),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[898, 9408])).
% 3.54/3.76 tff(9410,plain,
% 3.54/3.76 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[4612, 91, 9409, 177, 316, 3451, 297])).
% 3.54/3.76 tff(9411,plain,
% 3.54/3.76 (r(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[938, 9410])).
% 3.54/3.76 tff(9412,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(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(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9413,plain,
% 3.54/3.76 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9414,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(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(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 3.54/3.76 inference(monotonicity,[status(thm)],[9413])).
% 3.54/3.76 tff(9415,plain,
% 3.54/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(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(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.54/3.76 inference(transitivity,[status(thm)],[9414, 9412])).
% 3.54/3.76 tff(9416,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))),
% 3.54/3.76 inference(quant_inst,[status(thm)],[])).
% 3.54/3.76 tff(9417,plain,
% 3.54/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 3.54/3.76 inference(modus_ponens,[status(thm)],[9416, 9415])).
% 3.54/3.76 tff(9418,plain,
% 3.54/3.76 (~b(z, s(s(z)))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[9417, 91, 9409, 429, 316, 3451, 297])).
% 3.54/3.76 tff(9419,plain,
% 3.54/3.76 (r(z, s(s(z)))),
% 3.54/3.76 inference(unit_resolution,[status(thm)],[3400, 9418])).
% 3.54/3.76 tff(9420,plain,
% 3.54/3.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9421,plain,
% 3.54/3.76 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.76 inference(rewrite,[status(thm)],[])).
% 3.54/3.76 tff(9422,plain,
% 3.54/3.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 3.54/3.76 inference(monotonicity,[status(thm)],[9421])).
% 3.54/3.76 tff(9423,plain,
% 3.54/3.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.76 inference(transitivity,[status(thm)],[9422, 9420])).
% 3.54/3.76 tff(9424,plain,
% 3.54/3.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 3.54/3.76 inference(quant_inst,[status(thm)],[])).
% 3.54/3.76 tff(9425,plain,
% 3.54/3.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.54/3.77 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 3.54/3.77 tff(9426,plain,
% 3.54/3.77 ($false),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9425, 125, 9419, 9214, 204, 9411, 8560])).
% 3.54/3.77 tff(9427,plain,((~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.77 tff(9428,plain,
% 3.54/3.77 (~b(s(s(z)), s(z))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9427, 204, 177, 316, 297, 9342, 9392, 9328])).
% 3.54/3.77 tff(9429,plain,
% 3.54/3.77 (r(s(s(z)), s(z))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[857, 9428])).
% 3.54/3.77 tff(9430,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9431,plain,
% 3.54/3.77 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9432,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))))),
% 3.54/3.77 inference(monotonicity,[status(thm)],[9431])).
% 3.54/3.77 tff(9433,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.54/3.77 inference(transitivity,[status(thm)],[9432, 9430])).
% 3.54/3.77 tff(9434,plain,
% 3.54/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))),
% 3.54/3.77 inference(quant_inst,[status(thm)],[])).
% 3.54/3.77 tff(9435,plain,
% 3.54/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))),
% 3.54/3.77 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 3.54/3.77 tff(9436,plain,
% 3.54/3.77 (~r(s(s(z)), z)),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9435, 125, 9328, 8560, 9429, 9392])).
% 3.54/3.77 tff(9437,plain,
% 3.54/3.77 (b(s(s(z)), z)),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[898, 9436])).
% 3.54/3.77 tff(9438,plain,
% 3.54/3.77 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[7764, 125, 410, 3102, 73, 2446])).
% 3.54/3.77 tff(9439,plain,
% 3.54/3.77 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[5101, 9438])).
% 3.54/3.77 tff(9440,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, 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)))), s(s(z)))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9441,plain,
% 3.54/3.77 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~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(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9442,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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)))), s(s(z))))))),
% 3.54/3.77 inference(monotonicity,[status(thm)],[9441])).
% 3.54/3.77 tff(9443,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, 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)))), s(s(z)))))),
% 3.54/3.77 inference(transitivity,[status(thm)],[9442, 9440])).
% 3.54/3.77 tff(9444,plain,
% 3.54/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 3.54/3.77 inference(quant_inst,[status(thm)],[])).
% 3.54/3.77 tff(9445,plain,
% 3.54/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, 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)))), s(s(z))))),
% 3.54/3.77 inference(modus_ponens,[status(thm)],[9444, 9443])).
% 3.54/3.77 tff(9446,plain,
% 3.54/3.77 (~r(z, s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9445, 125, 3102, 80, 4539])).
% 3.54/3.77 tff(9447,plain,
% 3.54/3.77 (b(z, s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[3400, 9446])).
% 3.54/3.77 tff(9448,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), 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(X1, 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(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9449,plain,
% 3.54/3.77 (((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9450,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.54/3.77 inference(monotonicity,[status(thm)],[9449])).
% 3.54/3.77 tff(9451,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.77 inference(transitivity,[status(thm)],[9450, 9448])).
% 3.54/3.77 tff(9452,plain,
% 3.54/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.54/3.77 inference(quant_inst,[status(thm)],[])).
% 3.54/3.77 tff(9453,plain,
% 3.54/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.54/3.77 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 3.54/3.77 tff(9454,plain,
% 3.54/3.77 ($false),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9453, 91, 3382, 924, 79, 4841])).
% 3.54/3.77 tff(9455,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.77 tff(9456,plain,
% 3.54/3.77 ($false),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9455, 9447, 9439, 79, 924])).
% 3.54/3.77 tff(9457,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.77 tff(9458,plain,
% 3.54/3.77 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9457, 9437, 9306, 8560, 9366, 410, 9392, 9429])).
% 3.54/3.77 tff(9459,plain,
% 3.54/3.77 (b(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[938, 9458])).
% 3.54/3.77 tff(9460,plain,
% 3.54/3.77 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[4985, 125, 410, 9352, 9429, 9392])).
% 3.54/3.77 tff(9461,plain,
% 3.54/3.77 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[5666, 9460])).
% 3.54/3.77 tff(9462,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(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(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(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(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9463,plain,
% 3.54/3.77 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(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(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9464,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), 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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(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(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 3.54/3.77 inference(monotonicity,[status(thm)],[9463])).
% 3.54/3.77 tff(9465,plain,
% 3.54/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), 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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(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(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 3.54/3.77 inference(transitivity,[status(thm)],[9464, 9462])).
% 3.54/3.77 tff(9466,plain,
% 3.54/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.54/3.77 inference(quant_inst,[status(thm)],[])).
% 3.54/3.77 tff(9467,plain,
% 3.54/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 3.54/3.77 inference(modus_ponens,[status(thm)],[9466, 9465])).
% 3.54/3.77 tff(9468,plain,
% 3.54/3.77 ($false),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9467, 125, 204, 135, 3103, 545, 2446])).
% 3.54/3.77 tff(9469,plain,((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.77 tff(9470,plain,
% 3.54/3.77 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9469, 9429, 9352, 204, 9334])).
% 3.54/3.77 tff(9471,plain,
% 3.54/3.77 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[3164, 9470])).
% 3.54/3.77 tff(9472,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9473,plain,
% 3.54/3.77 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(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(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9474,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.54/3.77 inference(monotonicity,[status(thm)],[9473])).
% 3.54/3.77 tff(9475,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.54/3.77 inference(transitivity,[status(thm)],[9474, 9472])).
% 3.54/3.77 tff(9476,plain,
% 3.54/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.54/3.77 inference(quant_inst,[status(thm)],[])).
% 3.54/3.77 tff(9477,plain,
% 3.54/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.54/3.77 inference(modus_ponens,[status(thm)],[9476, 9475])).
% 3.54/3.77 tff(9478,plain,
% 3.54/3.77 ($false),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9477, 91, 9471, 9306, 9461, 9332, 9459, 316])).
% 3.54/3.77 tff(9479,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.77 tff(9480,plain,
% 3.54/3.77 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[9479, 348, 410, 177, 297, 316])).
% 3.54/3.77 tff(9481,plain,
% 3.54/3.77 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.77 inference(unit_resolution,[status(thm)],[69, 9480])).
% 3.54/3.77 tff(9482,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9483,plain,
% 3.54/3.77 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.54/3.77 inference(rewrite,[status(thm)],[])).
% 3.54/3.77 tff(9484,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.54/3.77 inference(monotonicity,[status(thm)],[9483])).
% 3.54/3.77 tff(9485,plain,
% 3.54/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.54/3.78 inference(transitivity,[status(thm)],[9484, 9482])).
% 3.54/3.78 tff(9486,plain,
% 3.54/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.78 inference(quant_inst,[status(thm)],[])).
% 3.54/3.78 tff(9487,plain,
% 3.54/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(modus_ponens,[status(thm)],[9486, 9485])).
% 3.54/3.78 tff(9488,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9487, 91, 76, 79, 429, 348, 669, 177])).
% 3.54/3.78 tff(9489,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9490,plain,
% 3.54/3.78 (~b(z, s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9489, 9481, 177, 9091, 9306, 348])).
% 3.54/3.78 tff(9491,plain,
% 3.54/3.78 (r(z, s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[267, 9490])).
% 3.54/3.78 tff(9492,plain,
% 3.54/3.78 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[4445, 9481, 297, 177])).
% 3.54/3.78 tff(9493,plain,
% 3.54/3.78 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[336, 9492])).
% 3.54/3.78 tff(9494,plain,
% 3.54/3.78 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8612, 9481, 177, 297])).
% 3.54/3.78 tff(9495,plain,
% 3.54/3.78 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[563, 9494])).
% 3.54/3.78 tff(9496,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8588, 9495, 9493, 8560, 9214, 9491])).
% 3.54/3.78 tff(9497,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9498,plain,
% 3.54/3.78 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9497, 410, 297, 177, 316])).
% 3.54/3.78 tff(9499,plain,
% 3.54/3.78 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[1313, 9498])).
% 3.54/3.78 tff(9500,plain,
% 3.54/3.78 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[4882, 9220, 9499, 410])).
% 3.54/3.78 tff(9501,plain,
% 3.54/3.78 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[163, 9500])).
% 3.54/3.78 tff(9502,plain,
% 3.54/3.78 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[6663, 9501, 9091, 565])).
% 3.54/3.78 tff(9503,plain,
% 3.54/3.78 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[369, 9502])).
% 3.54/3.78 tff(9504,plain,
% 3.54/3.78 (~r(z, s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9276, 125, 9499, 9214, 8560, 9503])).
% 3.54/3.78 tff(9505,plain,
% 3.54/3.78 (b(z, s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[113, 9504])).
% 3.54/3.78 tff(9506,plain,
% 3.54/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9507,plain,
% 3.54/3.78 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9508,plain,
% 3.54/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.54/3.78 inference(monotonicity,[status(thm)],[9507])).
% 3.54/3.78 tff(9509,plain,
% 3.54/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.78 inference(transitivity,[status(thm)],[9508, 9506])).
% 3.54/3.78 tff(9510,plain,
% 3.54/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.54/3.78 inference(quant_inst,[status(thm)],[])).
% 3.54/3.78 tff(9511,plain,
% 3.54/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.54/3.78 inference(modus_ponens,[status(thm)],[9510, 9509])).
% 3.54/3.78 tff(9512,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9511, 91, 565, 9505, 9218, 9091, 316, 297])).
% 3.54/3.78 tff(9513,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9514,plain,
% 3.54/3.78 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9513, 410, 297, 316, 177])).
% 3.54/3.78 tff(9515,plain,
% 3.54/3.78 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[563, 9514])).
% 3.54/3.78 tff(9516,plain,
% 3.54/3.78 (~r(s(s(s(s(z)))), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9068, 9515, 8560, 9328])).
% 3.54/3.78 tff(9517,plain,
% 3.54/3.78 (b(s(s(s(s(z)))), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[314, 9516])).
% 3.54/3.78 tff(9518,plain,
% 3.54/3.78 (~b(z, s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9115, 9517, 9091, 9306])).
% 3.54/3.78 tff(9519,plain,
% 3.54/3.78 (r(z, s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[113, 9518])).
% 3.54/3.78 tff(9520,plain,
% 3.54/3.78 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8754, 9519, 8560, 9214, 9499])).
% 3.54/3.78 tff(9521,plain,
% 3.54/3.78 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[336, 9520])).
% 3.54/3.78 tff(9522,plain,
% 3.54/3.78 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[2955, 9521, 297, 177])).
% 3.54/3.78 tff(9523,plain,
% 3.54/3.78 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[542, 9522])).
% 3.54/3.78 tff(9524,plain,
% 3.54/3.78 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8766, 9519, 8560, 9499, 9214])).
% 3.54/3.78 tff(9525,plain,
% 3.54/3.78 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[69, 9524])).
% 3.54/3.78 tff(9526,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[4313, 125, 410, 9499, 9525, 9515, 9523])).
% 3.54/3.78 tff(9527,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9528,plain,
% 3.54/3.78 (~r(s(s(s(s(s(z))))), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9527, 177, 297, 316])).
% 3.54/3.78 tff(9529,plain,
% 3.54/3.78 (b(s(s(s(s(s(z))))), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[394, 9528])).
% 3.54/3.78 tff(9530,plain,
% 3.54/3.78 (~b(s(z), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[4395, 9529, 177, 9091])).
% 3.54/3.78 tff(9531,plain,
% 3.54/3.78 (r(s(z), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[563, 9530])).
% 3.54/3.78 tff(9532,plain,
% 3.54/3.78 (~r(z, s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8602, 9531, 177, 8560, 297, 9214])).
% 3.54/3.78 tff(9533,plain,
% 3.54/3.78 (b(z, s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[267, 9532])).
% 3.54/3.78 tff(9534,plain,
% 3.54/3.78 (~b(s(z), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9078, 9533, 316, 297])).
% 3.54/3.78 tff(9535,plain,
% 3.54/3.78 (r(s(z), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[408, 9534])).
% 3.54/3.78 tff(9536,plain,
% 3.54/3.78 (~r(s(s(s(s(z)))), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9068, 9535, 8560, 9531])).
% 3.54/3.78 tff(9537,plain,
% 3.54/3.78 (b(s(s(s(s(z)))), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[314, 9536])).
% 3.54/3.78 tff(9538,plain,
% 3.54/3.78 (~b(z, s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9115, 9537, 9091, 9306])).
% 3.54/3.78 tff(9539,plain,
% 3.54/3.78 (r(z, s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[113, 9538])).
% 3.54/3.78 tff(9540,plain,
% 3.54/3.78 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8766, 76, 80, 75, 215])).
% 3.54/3.78 tff(9541,plain,
% 3.54/3.78 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9489, 76, 177, 669, 79, 429])).
% 3.54/3.78 tff(9542,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[1313, 9541, 9540])).
% 3.54/3.78 tff(9543,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9544,plain,
% 3.54/3.78 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9543, 177, 9091, 9306, 9533, 8560, 9539, 9214])).
% 3.54/3.78 tff(9545,plain,
% 3.54/3.78 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[69, 9544])).
% 3.54/3.78 tff(9546,plain,
% 3.54/3.78 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8622, 9545, 8560, 9214])).
% 3.54/3.78 tff(9547,plain,
% 3.54/3.78 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[336, 9546])).
% 3.54/3.78 tff(9548,plain,
% 3.54/3.78 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[2955, 9547, 297, 177])).
% 3.54/3.78 tff(9549,plain,
% 3.54/3.78 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[542, 9548])).
% 3.54/3.78 tff(9550,plain,
% 3.54/3.78 (~b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[4355, 9529, 177, 9091])).
% 3.54/3.78 tff(9551,plain,
% 3.54/3.78 (r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[163, 9550])).
% 3.54/3.78 tff(9552,plain,
% 3.54/3.78 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9378, 4456, 9533, 9306, 9091, 177])).
% 3.54/3.78 tff(9553,plain,
% 3.54/3.78 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[5666, 9552])).
% 3.54/3.78 tff(9554,plain,
% 3.54/3.78 (~r(s(s(s(s(z)))), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9068, 411, 80, 135])).
% 3.54/3.78 tff(9555,plain,
% 3.54/3.78 (b(s(s(s(s(z)))), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[314, 9554])).
% 3.54/3.78 tff(9556,plain,
% 3.54/3.78 (~r(s(s(z)), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8796, 4499, 135, 80, 411])).
% 3.54/3.78 tff(9557,plain,
% 3.54/3.78 (b(s(s(z)), z)),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[898, 9556])).
% 3.54/3.78 tff(9558,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[5688, 91, 3382, 924, 4456, 74])).
% 3.54/3.78 tff(9559,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9560,plain,
% 3.54/3.78 (~b(z, s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9559, 9557, 9555, 4456])).
% 3.54/3.78 tff(9561,plain,
% 3.54/3.78 (r(z, s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[3400, 9560])).
% 3.54/3.78 tff(9562,plain,
% 3.54/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9563,plain,
% 3.54/3.78 (((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z))) <=> ((~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9564,plain,
% 3.54/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 3.54/3.78 inference(monotonicity,[status(thm)],[9563])).
% 3.54/3.78 tff(9565,plain,
% 3.54/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.54/3.78 inference(transitivity,[status(thm)],[9564, 9562])).
% 3.54/3.78 tff(9566,plain,
% 3.54/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))),
% 3.54/3.78 inference(quant_inst,[status(thm)],[])).
% 3.54/3.78 tff(9567,plain,
% 3.54/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 3.54/3.78 inference(modus_ponens,[status(thm)],[9566, 9565])).
% 3.54/3.78 tff(9568,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9567, 125, 9561, 411, 4499, 136, 5707])).
% 3.54/3.78 tff(9569,plain,((~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9570,plain,
% 3.54/3.78 (~r(s(z), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9569, 9553, 9551, 9535, 4456, 9531, 8560])).
% 3.54/3.78 tff(9571,plain,
% 3.54/3.78 (b(s(z), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[1004, 9570])).
% 3.54/3.78 tff(9572,plain,
% 3.54/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9573,plain,
% 3.54/3.78 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9574,plain,
% 3.54/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z)))))),
% 3.54/3.78 inference(monotonicity,[status(thm)],[9573])).
% 3.54/3.78 tff(9575,plain,
% 3.54/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.54/3.78 inference(transitivity,[status(thm)],[9574, 9572])).
% 3.54/3.78 tff(9576,plain,
% 3.54/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.54/3.78 inference(quant_inst,[status(thm)],[])).
% 3.54/3.78 tff(9577,plain,
% 3.54/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z)))),
% 3.54/3.78 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 3.54/3.78 tff(9578,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9577, 91, 77, 4925, 669, 177, 3451])).
% 3.54/3.78 tff(9579,plain,((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9580,plain,
% 3.54/3.78 (~b(s(s(z)), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9579, 9571, 9529, 9091, 177])).
% 3.54/3.78 tff(9581,plain,
% 3.54/3.78 (r(s(s(z)), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[857, 9580])).
% 3.54/3.78 tff(9582,plain,
% 3.54/3.78 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8912, 9571, 9537, 4456, 316, 297])).
% 3.54/3.78 tff(9583,plain,
% 3.54/3.78 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[3164, 9582])).
% 3.54/3.78 tff(9584,plain,
% 3.54/3.78 ($false),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9469, 9583, 9581, 9531, 9545, 9549])).
% 3.54/3.78 tff(9585,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.78 tff(9586,plain,
% 3.54/3.78 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9585, 177, 297, 316])).
% 3.54/3.78 tff(9587,plain,
% 3.54/3.78 (r(s(s(z)), s(s(s(s(z)))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[4476, 9586])).
% 3.54/3.78 tff(9588,plain,
% 3.54/3.78 (~b(s(s(z)), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9427, 9587, 177, 316, 297, 9533, 9545, 9535])).
% 3.54/3.78 tff(9589,plain,
% 3.54/3.78 (r(s(s(z)), s(z))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[857, 9588])).
% 3.54/3.78 tff(9590,plain,
% 3.54/3.78 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[9469, 9589, 9531, 9545, 9549])).
% 3.54/3.78 tff(9591,plain,
% 3.54/3.78 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[3164, 9590])).
% 3.54/3.78 tff(9592,plain,
% 3.54/3.78 (~r(s(z), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[8796, 836, 135, 80, 411])).
% 3.54/3.78 tff(9593,plain,
% 3.54/3.78 (b(s(z), s(s(z)))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[1004, 9592])).
% 3.54/3.78 tff(9594,plain,
% 3.54/3.78 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[5298, 9593, 297, 3151])).
% 3.54/3.78 tff(9595,plain,
% 3.54/3.78 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.78 inference(unit_resolution,[status(thm)],[5705, 9594])).
% 3.54/3.78 tff(9596,plain,
% 3.54/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9597,plain,
% 3.54/3.78 (((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.54/3.78 inference(rewrite,[status(thm)],[])).
% 3.54/3.78 tff(9598,plain,
% 3.54/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))))),
% 3.54/3.78 inference(monotonicity,[status(thm)],[9597])).
% 3.54/3.78 tff(9599,plain,
% 3.54/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z))))),
% 3.54/3.78 inference(transitivity,[status(thm)],[9598, 9596])).
% 3.54/3.78 tff(9600,plain,
% 3.54/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.54/3.78 inference(quant_inst,[status(thm)],[])).
% 3.54/3.78 tff(9601,plain,
% 3.54/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))),
% 3.54/3.79 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 3.54/3.79 tff(9602,plain,
% 3.54/3.79 ($false),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9601, 125, 411, 836, 9595, 545, 2446])).
% 3.54/3.79 tff(9603,plain,((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.79 tff(9604,plain,
% 3.54/3.79 (~r(s(s(z)), z)),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9603, 9535, 9549, 9589, 297, 9591, 9531, 8560])).
% 3.54/3.79 tff(9605,plain,
% 3.54/3.79 (b(s(s(z)), z)),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[898, 9604])).
% 3.54/3.79 tff(9606,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9607,plain,
% 3.54/3.79 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9608,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.54/3.79 inference(monotonicity,[status(thm)],[9607])).
% 3.54/3.79 tff(9609,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.54/3.79 inference(transitivity,[status(thm)],[9608, 9606])).
% 3.54/3.79 tff(9610,plain,
% 3.54/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 3.54/3.79 inference(quant_inst,[status(thm)],[])).
% 3.54/3.79 tff(9611,plain,
% 3.54/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.54/3.79 inference(modus_ponens,[status(thm)],[9610, 9609])).
% 3.54/3.79 tff(9612,plain,
% 3.54/3.79 (~b(z, s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9611, 91, 9605, 9591, 9533, 316])).
% 3.54/3.79 tff(9613,plain,
% 3.54/3.79 (r(z, s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[3400, 9612])).
% 3.54/3.79 tff(9614,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9615,plain,
% 3.54/3.79 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9616,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z))))))),
% 3.54/3.79 inference(monotonicity,[status(thm)],[9615])).
% 3.54/3.79 tff(9617,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.79 inference(transitivity,[status(thm)],[9616, 9614])).
% 3.54/3.79 tff(9618,plain,
% 3.54/3.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.54/3.79 inference(quant_inst,[status(thm)],[])).
% 3.54/3.79 tff(9619,plain,
% 3.54/3.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 3.54/3.79 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 3.54/3.79 tff(9620,plain,
% 3.54/3.79 ($false),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9619, 125, 3403, 75, 80, 4539, 4830])).
% 3.54/3.79 tff(9621,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.79 tff(9622,plain,
% 3.54/3.79 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9621, 9613, 8560, 9539, 9587])).
% 3.54/3.79 tff(9623,plain,
% 3.54/3.79 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[5101, 9622])).
% 3.54/3.79 tff(9624,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9625,plain,
% 3.54/3.79 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9626,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 3.54/3.79 inference(monotonicity,[status(thm)],[9625])).
% 3.54/3.79 tff(9627,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.54/3.79 inference(transitivity,[status(thm)],[9626, 9624])).
% 3.54/3.79 tff(9628,plain,
% 3.54/3.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 3.54/3.79 inference(quant_inst,[status(thm)],[])).
% 3.54/3.79 tff(9629,plain,
% 3.54/3.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.54/3.79 inference(modus_ponens,[status(thm)],[9628, 9627])).
% 3.54/3.79 tff(9630,plain,
% 3.54/3.79 ($false),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9629, 125, 3403, 215, 204, 80, 4961])).
% 3.54/3.79 tff(9631,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.79 tff(9632,plain,
% 3.54/3.79 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9631, 9613, 9214, 9545, 8560])).
% 3.54/3.79 tff(9633,plain,
% 3.54/3.79 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[5705, 9632])).
% 3.54/3.79 tff(9634,plain,
% 3.54/3.79 (~b(s(z), s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[5298, 9633, 297, 9591])).
% 3.54/3.79 tff(9635,plain,
% 3.54/3.79 (r(s(z), s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[1004, 9634])).
% 3.54/3.79 tff(9636,plain,
% 3.54/3.79 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[4555, 9635, 9531, 9587])).
% 3.54/3.79 tff(9637,plain,
% 3.54/3.79 (b(s(s(s(s(z)))), s(s(z)))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[938, 9636])).
% 3.54/3.79 tff(9638,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9639,plain,
% 3.54/3.79 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z)) | (~b(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(z)))))))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9640,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.54/3.79 inference(monotonicity,[status(thm)],[9639])).
% 3.54/3.79 tff(9641,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.54/3.79 inference(transitivity,[status(thm)],[9640, 9638])).
% 3.54/3.79 tff(9642,plain,
% 3.54/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))))))))),
% 3.54/3.79 inference(quant_inst,[status(thm)],[])).
% 3.54/3.79 tff(9643,plain,
% 3.54/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.54/3.79 inference(modus_ponens,[status(thm)],[9642, 9641])).
% 3.54/3.79 tff(9644,plain,
% 3.54/3.79 ($false),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9643, 91, 9529, 9605, 9533, 9637, 9091, 9623])).
% 3.54/3.79 tff(9645,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.79 tff(9646,plain,
% 3.54/3.79 (~b(s(s(s(s(z)))), s(z))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9645, 297, 316])).
% 3.54/3.79 tff(9647,plain,
% 3.54/3.79 (r(s(s(s(s(z)))), s(z))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[201, 9646])).
% 3.54/3.79 tff(9648,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9649,plain,
% 3.54/3.79 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9650,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.54/3.79 inference(monotonicity,[status(thm)],[9649])).
% 3.54/3.79 tff(9651,plain,
% 3.54/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.54/3.79 inference(transitivity,[status(thm)],[9650, 9648])).
% 3.54/3.79 tff(9652,plain,
% 3.54/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 3.54/3.79 inference(quant_inst,[status(thm)],[])).
% 3.54/3.79 tff(9653,plain,
% 3.54/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.54/3.79 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 3.54/3.79 tff(9654,plain,
% 3.54/3.79 ($false),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9653, 91, 429, 316, 526, 297])).
% 3.54/3.79 tff(9655,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.79 tff(9656,plain,
% 3.54/3.79 (~b(z, s(z))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[9655, 526, 316, 297])).
% 3.54/3.79 tff(9657,plain,
% 3.54/3.79 (r(z, s(z))),
% 3.54/3.79 inference(unit_resolution,[status(thm)],[267, 9656])).
% 3.54/3.79 tff(9658,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9659,plain,
% 3.54/3.79 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.54/3.79 inference(rewrite,[status(thm)],[])).
% 3.54/3.79 tff(9660,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.54/3.79 inference(monotonicity,[status(thm)],[9659])).
% 3.54/3.79 tff(9661,plain,
% 3.54/3.79 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.54/3.79 inference(transitivity,[status(thm)],[9660, 9658])).
% 3.54/3.79 tff(9662,plain,
% 3.54/3.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.54/3.79 inference(quant_inst,[status(thm)],[])).
% 3.54/3.79 tff(9663,plain,
% 3.54/3.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.54/3.80 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 3.54/3.80 tff(9664,plain,
% 3.54/3.80 ($false),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[9663, 125, 544, 135, 270, 80])).
% 3.54/3.80 tff(9665,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.54/3.80 tff(9666,plain,
% 3.54/3.80 (~r(s(z), s(s(s(s(z)))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[9665, 9657, 8560, 9647])).
% 3.54/3.80 tff(9667,plain,
% 3.54/3.80 (b(s(z), s(s(s(s(z)))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[563, 9666])).
% 3.54/3.80 tff(9668,plain,
% 3.54/3.80 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[6395, 9667, 297, 526])).
% 3.54/3.80 tff(9669,plain,
% 3.54/3.80 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[336, 9668])).
% 3.54/3.80 tff(9670,plain,
% 3.54/3.80 (~r(s(z), s(s(s(s(s(z))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[698, 410, 9647, 115])).
% 3.54/3.80 tff(9671,plain,
% 3.54/3.80 (b(s(z), s(s(s(s(s(z))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[163, 9670])).
% 3.54/3.80 tff(9672,plain,
% 3.54/3.80 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[4323, 9671, 297, 526])).
% 3.54/3.80 tff(9673,plain,
% 3.54/3.80 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[246, 9672])).
% 3.54/3.80 tff(9674,plain,
% 3.54/3.80 (~r(s(z), s(s(s(s(z)))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[9665, 9308, 8560, 9647])).
% 3.54/3.80 tff(9675,plain,
% 3.54/3.80 (b(s(z), s(s(s(s(z)))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[563, 9674])).
% 3.54/3.80 tff(9676,plain,
% 3.54/3.80 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[6395, 9675, 297, 526])).
% 3.54/3.80 tff(9677,plain,
% 3.54/3.80 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[336, 9676])).
% 3.54/3.80 tff(9678,plain,
% 3.54/3.80 (~r(s(s(s(s(z)))), z)),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[5940, 5404, 9647, 8726])).
% 3.54/3.80 tff(9679,plain,
% 3.54/3.80 (b(s(s(s(s(z)))), z)),
% 3.54/3.80 inference(unit_resolution,[status(thm)],[314, 9678])).
% 3.54/3.80 tff(9680,plain,
% 3.54/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.80 inference(rewrite,[status(thm)],[])).
% 3.54/3.80 tff(9681,plain,
% 3.54/3.80 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.54/3.80 inference(rewrite,[status(thm)],[])).
% 3.54/3.80 tff(9682,plain,
% 3.54/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.54/3.80 inference(monotonicity,[status(thm)],[9681])).
% 3.54/3.80 tff(9683,plain,
% 3.54/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.80 inference(transitivity,[status(thm)],[9682, 9680])).
% 3.64/3.80 tff(9684,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(9685,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[9684, 9683])).
% 3.64/3.80 tff(9686,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9685, 91, 1073, 318, 74, 316])).
% 3.64/3.80 tff(9687,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(9688,plain,
% 3.64/3.80 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9687, 9679, 1073, 316])).
% 3.64/3.80 tff(9689,plain,
% 3.64/3.80 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[336, 9688])).
% 3.64/3.80 tff(9690,plain,
% 3.64/3.80 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[447, 71, 8726, 5404])).
% 3.64/3.80 tff(9691,plain,
% 3.64/3.80 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[394, 9690])).
% 3.64/3.80 tff(9692,plain,
% 3.64/3.80 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[4419, 348, 297, 9691])).
% 3.64/3.80 tff(9693,plain,
% 3.64/3.80 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[163, 9692])).
% 3.64/3.80 tff(9694,plain,
% 3.64/3.80 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[5620, 9693, 5404, 71])).
% 3.64/3.80 tff(9695,plain,
% 3.64/3.80 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[113, 9694])).
% 3.64/3.80 tff(9696,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9697,plain,
% 3.64/3.80 (((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9698,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[9697])).
% 3.64/3.80 tff(9699,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.80 inference(transitivity,[status(thm)],[9698, 9696])).
% 3.64/3.80 tff(9700,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(9701,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 3.64/3.80 tff(9702,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9701, 91, 9691, 9695, 348, 1073, 316, 297])).
% 3.64/3.80 tff(9703,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(9704,plain,
% 3.64/3.80 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9703, 71, 316, 297, 1073])).
% 3.64/3.80 tff(9705,plain,
% 3.64/3.80 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[1313, 9704])).
% 3.64/3.80 tff(9706,plain,
% 3.64/3.80 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[4195, 9705, 115, 9689])).
% 3.64/3.80 tff(9707,plain,
% 3.64/3.80 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[246, 9706])).
% 3.64/3.80 tff(9708,plain,
% 3.64/3.80 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[4012, 9707, 297, 9691])).
% 3.64/3.80 tff(9709,plain,
% 3.64/3.80 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[542, 9708])).
% 3.64/3.80 tff(9710,plain,
% 3.64/3.80 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[6500, 4539, 544, 204, 545])).
% 3.64/3.80 tff(9711,plain,
% 3.64/3.80 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[3164, 9710])).
% 3.64/3.80 tff(9712,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, 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)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9713,plain,
% 3.64/3.80 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~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(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9714,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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)))), s(z))) | (~r(z, s(z)))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[9713])).
% 3.64/3.80 tff(9715,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, 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)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.80 inference(transitivity,[status(thm)],[9714, 9712])).
% 3.64/3.80 tff(9716,plain,
% 3.64/3.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(9717,plain,
% 3.64/3.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 3.64/3.80 tff(9718,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9717, 125, 3403, 544, 270, 80, 4539])).
% 3.64/3.80 tff(9719,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(9720,plain,
% 3.64/3.80 (~r(z, s(s(z)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9719, 4539, 8560, 544, 270])).
% 3.64/3.80 tff(9721,plain,
% 3.64/3.80 (b(z, s(s(z)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[3400, 9720])).
% 3.64/3.80 tff(9722,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[7740, 91, 9721, 924, 9711, 316])).
% 3.64/3.80 tff(9723,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(9724,plain,
% 3.64/3.80 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9723, 924, 316, 544, 270, 5394, 545])).
% 3.64/3.80 tff(9725,plain,
% 3.64/3.80 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[4476, 9724])).
% 3.64/3.80 tff(9726,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9727,plain,
% 3.64/3.80 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9728,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[9727])).
% 3.64/3.80 tff(9729,plain,
% 3.64/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.80 inference(transitivity,[status(thm)],[9728, 9726])).
% 3.64/3.80 tff(9730,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(9731,plain,
% 3.64/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[9730, 9729])).
% 3.64/3.80 tff(9732,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9731, 91, 924, 9725, 1073, 74, 316])).
% 3.64/3.80 tff(9733,plain,((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(9734,plain,
% 3.64/3.80 (~b(s(s(z)), z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9733, 9709, 9679, 316, 9647, 8726, 1073])).
% 3.64/3.80 tff(9735,plain,
% 3.64/3.80 (r(s(s(z)), z)),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[898, 9734])).
% 3.64/3.80 tff(9736,plain,
% 3.64/3.80 (~r(s(s(z)), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[842, 125, 5404, 9735, 8726])).
% 3.64/3.80 tff(9737,plain,
% 3.64/3.80 (b(s(s(z)), s(z))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[857, 9736])).
% 3.64/3.80 tff(9738,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9739,plain,
% 3.64/3.80 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9740,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z))))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[9739])).
% 3.64/3.80 tff(9741,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z)))))),
% 3.64/3.80 inference(transitivity,[status(thm)],[9740, 9738])).
% 3.64/3.80 tff(9742,plain,
% 3.64/3.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(9743,plain,
% 3.64/3.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[9742, 9741])).
% 3.64/3.80 tff(9744,plain,
% 3.64/3.80 ($false),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9743, 125, 3102, 544, 4499, 347, 545])).
% 3.64/3.80 tff(9745,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.80 tff(9746,plain,
% 3.64/3.80 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[9745, 4499, 544, 347, 545])).
% 3.64/3.80 tff(9747,plain,
% 3.64/3.80 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.80 inference(unit_resolution,[status(thm)],[938, 9746])).
% 3.64/3.80 tff(9748,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9749,plain,
% 3.64/3.80 (((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.80 inference(rewrite,[status(thm)],[])).
% 3.64/3.80 tff(9750,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 3.64/3.80 inference(monotonicity,[status(thm)],[9749])).
% 3.64/3.80 tff(9751,plain,
% 3.64/3.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.80 inference(transitivity,[status(thm)],[9750, 9748])).
% 3.64/3.80 tff(9752,plain,
% 3.64/3.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)))),
% 3.64/3.80 inference(quant_inst,[status(thm)],[])).
% 3.64/3.80 tff(9753,plain,
% 3.64/3.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 3.64/3.80 inference(modus_ponens,[status(thm)],[9752, 9751])).
% 3.64/3.81 tff(9754,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9753, 125, 3403, 411, 836, 4499])).
% 3.64/3.81 tff(9755,plain,((~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(9756,plain,
% 3.64/3.81 (~r(z, s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9755, 4499, 411, 836])).
% 3.64/3.81 tff(9757,plain,
% 3.64/3.81 (b(z, s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3400, 9756])).
% 3.64/3.81 tff(9758,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(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(s(s(z)))))))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(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(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9759,plain,
% 3.64/3.81 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(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(z, s(s(s(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(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9760,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(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(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[9759])).
% 3.64/3.81 tff(9761,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(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(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(transitivity,[status(thm)],[9760, 9758])).
% 3.64/3.81 tff(9762,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(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)))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(9763,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[9762, 9761])).
% 3.64/3.81 tff(9764,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9763, 91, 9757, 1073, 9747, 74, 3451, 297])).
% 3.64/3.81 tff(9765,plain,((~r(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(9766,plain,
% 3.64/3.81 (~r(s(z), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9765, 9737, 9679, 1073, 297, 9647, 9689, 9709, 5404, 9735])).
% 3.64/3.81 tff(9767,plain,
% 3.64/3.81 (b(s(z), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1004, 9766])).
% 3.64/3.81 tff(9768,plain,
% 3.64/3.81 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8405, 91, 9691, 9767, 9737])).
% 3.64/3.81 tff(9769,plain,
% 3.64/3.81 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[5666, 9768])).
% 3.64/3.81 tff(9770,plain,
% 3.64/3.81 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8912, 4925, 74, 4456, 316, 297])).
% 3.64/3.81 tff(9771,plain,
% 3.64/3.81 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3164, 9770])).
% 3.64/3.81 tff(9772,plain,
% 3.64/3.81 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8405, 91, 77, 4925, 3451])).
% 3.64/3.81 tff(9773,plain,
% 3.64/3.81 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[5666, 9772])).
% 3.64/3.81 tff(9774,plain,
% 3.64/3.81 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8892, 9773, 347, 9771, 115])).
% 3.64/3.81 tff(9775,plain,
% 3.64/3.81 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[938, 9774])).
% 3.64/3.81 tff(9776,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9777,plain,
% 3.64/3.81 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))) <=> ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9778,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[9777])).
% 3.64/3.81 tff(9779,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(transitivity,[status(thm)],[9778, 9776])).
% 3.64/3.81 tff(9780,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(9781,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[9780, 9779])).
% 3.64/3.81 tff(9782,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9781, 91, 77, 4925, 3451, 4841])).
% 3.64/3.81 tff(9783,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(9784,plain,
% 3.64/3.81 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9783, 4925, 77, 3451])).
% 3.64/3.81 tff(9785,plain,
% 3.64/3.81 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[5101, 9784])).
% 3.64/3.81 tff(9786,plain,
% 3.64/3.81 (~r(z, s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8115, 9785, 836, 71])).
% 3.64/3.81 tff(9787,plain,
% 3.64/3.81 (b(z, s(s(z)))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[3400, 9786])).
% 3.64/3.81 tff(9788,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9789,plain,
% 3.64/3.81 (((~b(s(z), s(s(z)))) | (~b(z, s(s(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), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9790,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[9789])).
% 3.64/3.81 tff(9791,plain,
% 3.64/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 3.64/3.81 inference(transitivity,[status(thm)],[9790, 9788])).
% 3.64/3.81 tff(9792,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(9793,plain,
% 3.64/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[9792, 9791])).
% 3.64/3.81 tff(9794,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9793, 91, 9787, 9775, 4925, 74, 3451])).
% 3.64/3.81 tff(9795,plain,((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(9796,plain,
% 3.64/3.81 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9795, 9767, 9737, 9689, 115, 9691, 9735, 71, 9679, 316, 297])).
% 3.64/3.81 tff(9797,plain,
% 3.64/3.81 (r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[4476, 9796])).
% 3.64/3.81 tff(9798,plain,
% 3.64/3.81 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9202, 9737, 297, 316, 1073])).
% 3.64/3.81 tff(9799,plain,
% 3.64/3.81 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[5705, 9798])).
% 3.64/3.81 tff(9800,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8879, 125, 9705, 9689, 9799, 9797, 9769])).
% 3.64/3.81 tff(9801,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(9802,plain,
% 3.64/3.81 (~r(s(s(s(s(s(z))))), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9801, 1073, 316, 297, 115])).
% 3.64/3.81 tff(9803,plain,
% 3.64/3.81 (b(s(s(s(s(s(z))))), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[427, 9802])).
% 3.64/3.81 tff(9804,plain,
% 3.64/3.81 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[5526, 9803, 1073, 316])).
% 3.64/3.81 tff(9805,plain,
% 3.64/3.81 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1313, 9804])).
% 3.64/3.81 tff(9806,plain,
% 3.64/3.81 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[6212, 9803, 316, 1073])).
% 3.64/3.81 tff(9807,plain,
% 3.64/3.81 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[246, 9806])).
% 3.64/3.81 tff(9808,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[4195, 9807, 9805, 115, 9689])).
% 3.64/3.81 tff(9809,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(9810,plain,
% 3.64/3.81 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9809, 115, 316, 297])).
% 3.64/3.81 tff(9811,plain,
% 3.64/3.81 (r(z, s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[1093, 9810])).
% 3.64/3.81 tff(9812,plain,
% 3.64/3.81 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[8754, 203, 8560, 9811, 9677])).
% 3.64/3.81 tff(9813,plain,
% 3.64/3.81 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[113, 9812])).
% 3.64/3.81 tff(9814,plain,
% 3.64/3.81 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[4195, 203, 115, 9677])).
% 3.64/3.81 tff(9815,plain,
% 3.64/3.81 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[246, 9814])).
% 3.64/3.81 tff(9816,plain,
% 3.64/3.81 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[5970, 9815, 316, 9813])).
% 3.64/3.81 tff(9817,plain,
% 3.64/3.81 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[427, 9816])).
% 3.64/3.81 tff(9818,plain,
% 3.64/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9819,plain,
% 3.64/3.81 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9820,plain,
% 3.64/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[9819])).
% 3.64/3.81 tff(9821,plain,
% 3.64/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.81 inference(transitivity,[status(thm)],[9820, 9818])).
% 3.64/3.81 tff(9822,plain,
% 3.64/3.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 3.64/3.81 inference(quant_inst,[status(thm)],[])).
% 3.64/3.81 tff(9823,plain,
% 3.64/3.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 3.64/3.81 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 3.64/3.81 tff(9824,plain,
% 3.64/3.81 ($false),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9823, 125, 215, 204, 544, 270, 80])).
% 3.64/3.81 tff(9825,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.81 tff(9826,plain,
% 3.64/3.81 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[9825, 9308, 8560, 9647, 9811])).
% 3.64/3.81 tff(9827,plain,
% 3.64/3.81 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[69, 9826])).
% 3.64/3.81 tff(9828,plain,
% 3.64/3.81 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[5839, 9813, 297, 316, 72, 9827])).
% 3.64/3.81 tff(9829,plain,
% 3.64/3.81 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[369, 9828])).
% 3.64/3.81 tff(9830,plain,
% 3.64/3.81 (~b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[4012, 9815, 297, 526])).
% 3.64/3.81 tff(9831,plain,
% 3.64/3.81 (r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.81 inference(unit_resolution,[status(thm)],[394, 9830])).
% 3.64/3.81 tff(9832,plain,
% 3.64/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9833,plain,
% 3.64/3.81 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.81 inference(rewrite,[status(thm)],[])).
% 3.64/3.81 tff(9834,plain,
% 3.64/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.64/3.81 inference(monotonicity,[status(thm)],[9833])).
% 3.64/3.82 tff(9835,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[9834, 9832])).
% 3.64/3.82 tff(9836,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(9837,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[9836, 9835])).
% 3.64/3.82 tff(9838,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9837, 125, 410, 544, 71, 80, 73])).
% 3.64/3.82 tff(9839,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9840,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9839, 9831, 9829, 8560, 9647, 9817])).
% 3.64/3.82 tff(9841,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9842,plain,
% 3.64/3.82 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9841, 72, 297, 526, 316, 115])).
% 3.64/3.82 tff(9843,plain,
% 3.64/3.82 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1313, 9842])).
% 3.64/3.82 tff(9844,plain,
% 3.64/3.82 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4012, 77, 297, 526])).
% 3.64/3.82 tff(9845,plain,
% 3.64/3.82 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[246, 9844])).
% 3.64/3.82 tff(9846,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9847,plain,
% 3.64/3.82 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(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(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9848,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[9847])).
% 3.64/3.82 tff(9849,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[9848, 9846])).
% 3.64/3.82 tff(9850,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(9851,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 3.64/3.82 tff(9852,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9851, 125, 71, 80, 347, 216, 73])).
% 3.64/3.82 tff(9853,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9854,plain,
% 3.64/3.82 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9853, 9845, 8560, 71, 9677])).
% 3.64/3.82 tff(9855,plain,
% 3.64/3.82 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[369, 9854])).
% 3.64/3.82 tff(9856,plain,
% 3.64/3.82 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4419, 77, 297, 348])).
% 3.64/3.82 tff(9857,plain,
% 3.64/3.82 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[163, 9856])).
% 3.64/3.82 tff(9858,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9859,plain,
% 3.64/3.82 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9860,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[9859])).
% 3.64/3.82 tff(9861,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[9860, 9858])).
% 3.64/3.82 tff(9862,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(9863,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 3.64/3.82 tff(9864,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9863, 125, 75, 544, 270, 80, 136])).
% 3.64/3.82 tff(9865,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9866,plain,
% 3.64/3.82 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9865, 9857, 8560, 9647, 9308])).
% 3.64/3.82 tff(9867,plain,
% 3.64/3.82 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[113, 9866])).
% 3.64/3.82 tff(9868,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5839, 9867, 9855, 297, 316, 72, 76])).
% 3.64/3.82 tff(9869,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9870,plain,
% 3.64/3.82 (~b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9869, 71, 316, 72, 9827, 297, 9843, 526])).
% 3.64/3.82 tff(9871,plain,
% 3.64/3.82 (r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[394, 9870])).
% 3.64/3.82 tff(9872,plain,
% 3.64/3.82 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9839, 9871, 8560, 9647, 71])).
% 3.64/3.82 tff(9873,plain,
% 3.64/3.82 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[369, 9872])).
% 3.64/3.82 tff(9874,plain,
% 3.64/3.82 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8672, 9871, 8560, 115, 9308])).
% 3.64/3.82 tff(9875,plain,
% 3.64/3.82 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[113, 9874])).
% 3.64/3.82 tff(9876,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5839, 9875, 9873, 297, 316, 72, 9827])).
% 3.64/3.82 tff(9877,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9878,plain,
% 3.64/3.82 (~r(s(s(s(s(s(z))))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9877, 72, 316, 297, 115, 526])).
% 3.64/3.82 tff(9879,plain,
% 3.64/3.82 (b(s(s(s(s(s(z))))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[427, 9878])).
% 3.64/3.82 tff(9880,plain,
% 3.64/3.82 (~b(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[419, 9879, 316, 9843])).
% 3.64/3.82 tff(9881,plain,
% 3.64/3.82 (r(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[113, 9880])).
% 3.64/3.82 tff(9882,plain,
% 3.64/3.82 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8672, 9881, 8560, 115, 9308])).
% 3.64/3.82 tff(9883,plain,
% 3.64/3.82 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[394, 9882])).
% 3.64/3.82 tff(9884,plain,
% 3.64/3.82 (~r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9865, 9881, 8560, 9647, 9308])).
% 3.64/3.82 tff(9885,plain,
% 3.64/3.82 (b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[163, 9884])).
% 3.64/3.82 tff(9886,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4419, 9885, 9883, 297, 9843])).
% 3.64/3.82 tff(9887,plain,((~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9888,plain,
% 3.64/3.82 (~b(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9887, 526, 115, 316, 297])).
% 3.64/3.82 tff(9889,plain,
% 3.64/3.82 (r(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[408, 9888])).
% 3.64/3.82 tff(9890,plain,
% 3.64/3.82 (~r(s(s(s(s(s(z))))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[447, 410, 9889, 9657])).
% 3.64/3.82 tff(9891,plain,
% 3.64/3.82 (b(s(s(s(s(s(z))))), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[427, 9890])).
% 3.64/3.82 tff(9892,plain,
% 3.64/3.82 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8672, 410, 8560, 115, 9657])).
% 3.64/3.82 tff(9893,plain,
% 3.64/3.82 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[113, 9892])).
% 3.64/3.82 tff(9894,plain,
% 3.64/3.82 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[419, 9893, 316, 9891])).
% 3.64/3.82 tff(9895,plain,
% 3.64/3.82 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1313, 9894])).
% 3.64/3.82 tff(9896,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4195, 9895, 9673, 115, 9669])).
% 3.64/3.82 tff(9897,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9898,plain,
% 3.64/3.82 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9897, 526, 316, 297, 115])).
% 3.64/3.82 tff(9899,plain,
% 3.64/3.82 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[394, 9898])).
% 3.64/3.82 tff(9900,plain,
% 3.64/3.82 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4012, 9899, 297, 526])).
% 3.64/3.82 tff(9901,plain,
% 3.64/3.82 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[246, 9900])).
% 3.64/3.82 tff(9902,plain,
% 3.64/3.82 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4195, 9901, 115, 9669])).
% 3.64/3.82 tff(9903,plain,
% 3.64/3.82 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1313, 9902])).
% 3.64/3.82 tff(9904,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9905,plain,
% 3.64/3.82 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9906,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[9905])).
% 3.64/3.82 tff(9907,plain,
% 3.64/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[9906, 9904])).
% 3.64/3.82 tff(9908,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(9909,plain,
% 3.64/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[9908, 9907])).
% 3.64/3.82 tff(9910,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9909, 91, 9899, 9903, 526, 297])).
% 3.64/3.82 tff(9911,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9912,plain,
% 3.64/3.82 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9911, 115, 297, 316])).
% 3.64/3.82 tff(9913,plain,
% 3.64/3.82 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[542, 9912])).
% 3.64/3.82 tff(9914,plain,
% 3.64/3.82 (~b(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9078, 429, 316, 297])).
% 3.64/3.82 tff(9915,plain,
% 3.64/3.82 (r(s(z), z)),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[408, 9914])).
% 3.64/3.82 tff(9916,plain,
% 3.64/3.82 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5950, 81, 429, 77])).
% 3.64/3.82 tff(9917,plain,
% 3.64/3.82 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[163, 9916])).
% 3.64/3.82 tff(9918,plain,
% 3.64/3.82 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8696, 9917, 115, 8560, 9915])).
% 3.64/3.82 tff(9919,plain,
% 3.64/3.82 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[563, 9918])).
% 3.64/3.82 tff(9920,plain,
% 3.64/3.82 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[6362, 9919, 297, 318])).
% 3.64/3.82 tff(9921,plain,
% 3.64/3.82 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[69, 9920])).
% 3.64/3.82 tff(9922,plain,
% 3.64/3.82 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[212, 9921, 115, 203])).
% 3.64/3.82 tff(9923,plain,
% 3.64/3.82 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[369, 9922])).
% 3.64/3.82 tff(9924,plain,
% 3.64/3.82 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[6362, 565, 297, 318])).
% 3.64/3.82 tff(9925,plain,
% 3.64/3.82 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[69, 9924])).
% 3.64/3.82 tff(9926,plain,
% 3.64/3.82 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5298, 3151, 297, 4925])).
% 3.64/3.82 tff(9927,plain,
% 3.64/3.82 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[5705, 9926])).
% 3.64/3.82 tff(9928,plain,
% 3.64/3.82 (~r(z, s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9631, 9927, 215, 204, 8560])).
% 3.64/3.82 tff(9929,plain,
% 3.64/3.82 (b(z, s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[3400, 9928])).
% 3.64/3.82 tff(9930,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[7740, 91, 9929, 924, 3151, 316])).
% 3.64/3.82 tff(9931,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9932,plain,
% 3.64/3.82 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9931, 4925, 316, 215, 9925, 297, 924])).
% 3.64/3.82 tff(9933,plain,
% 3.64/3.82 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[3164, 9932])).
% 3.64/3.82 tff(9934,plain,
% 3.64/3.82 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[6500, 9933, 9647, 9925, 545])).
% 3.64/3.82 tff(9935,plain,
% 3.64/3.82 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[4476, 9934])).
% 3.64/3.82 tff(9936,plain,
% 3.64/3.82 ($false),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[8188, 91, 924, 9935, 565, 318, 4925, 316])).
% 3.64/3.82 tff(9937,plain,((~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(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)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.82 tff(9938,plain,
% 3.64/3.82 (~b(s(z), s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9937, 924, 565, 318, 316, 545, 215, 297])).
% 3.64/3.82 tff(9939,plain,
% 3.64/3.82 (r(s(z), s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[1004, 9938])).
% 3.64/3.82 tff(9940,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~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(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~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(z)), s(z))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9941,plain,
% 3.64/3.82 (((~r(s(s(z)), 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(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(z)), s(z))))),
% 3.64/3.82 inference(rewrite,[status(thm)],[])).
% 3.64/3.82 tff(9942,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~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(z)), s(z)))))),
% 3.64/3.82 inference(monotonicity,[status(thm)],[9941])).
% 3.64/3.82 tff(9943,plain,
% 3.64/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~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(z)), s(z))))),
% 3.64/3.82 inference(transitivity,[status(thm)],[9942, 9940])).
% 3.64/3.82 tff(9944,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.64/3.82 inference(quant_inst,[status(thm)],[])).
% 3.64/3.82 tff(9945,plain,
% 3.64/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~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(z)), s(z)))),
% 3.64/3.82 inference(modus_ponens,[status(thm)],[9944, 9943])).
% 3.64/3.82 tff(9946,plain,
% 3.64/3.82 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[9945, 125, 9939, 545, 2446])).
% 3.64/3.82 tff(9947,plain,
% 3.64/3.82 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.82 inference(unit_resolution,[status(thm)],[3164, 9946])).
% 3.64/3.83 tff(9948,plain,
% 3.64/3.83 (((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(9949,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z)))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[9948])).
% 3.64/3.83 tff(9950,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[9949, 1010])).
% 3.64/3.83 tff(9951,plain,
% 3.64/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(9952,plain,
% 3.64/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z)))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 3.64/3.83 tff(9953,plain,
% 3.64/3.83 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9952, 125, 9647, 9939, 2446])).
% 3.64/3.83 tff(9954,plain,
% 3.64/3.83 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[938, 9953])).
% 3.64/3.83 tff(9955,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(9956,plain,
% 3.64/3.83 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(9957,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[9956])).
% 3.64/3.83 tff(9958,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[9957, 9955])).
% 3.64/3.83 tff(9959,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(9960,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[9959, 9958])).
% 3.64/3.83 tff(9961,plain,
% 3.64/3.83 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9960, 91, 924, 9947, 318, 9954])).
% 3.64/3.83 tff(9962,plain,
% 3.64/3.83 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[5705, 9961])).
% 3.64/3.83 tff(9963,plain,
% 3.64/3.83 (~r(z, s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9631, 9962, 215, 9925, 8560])).
% 3.64/3.83 tff(9964,plain,
% 3.64/3.83 (b(z, s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[3400, 9963])).
% 3.64/3.83 tff(9965,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[7740, 91, 9964, 924, 9947, 316])).
% 3.64/3.83 tff(9966,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(9967,plain,
% 3.64/3.83 (~b(s(s(z)), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9966, 2446, 215, 318, 545, 316, 565, 297])).
% 3.64/3.83 tff(9968,plain,
% 3.64/3.83 (r(s(s(z)), z)),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[898, 9967])).
% 3.64/3.83 tff(9969,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(9970,plain,
% 3.64/3.83 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(9971,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[9970])).
% 3.64/3.83 tff(9972,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[9971, 9969])).
% 3.64/3.83 tff(9973,plain,
% 3.64/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(9974,plain,
% 3.64/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 3.64/3.83 tff(9975,plain,
% 3.64/3.83 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9974, 125, 215, 9968, 545, 2446])).
% 3.64/3.83 tff(9976,plain,
% 3.64/3.83 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[5705, 9975])).
% 3.64/3.83 tff(9977,plain,
% 3.64/3.83 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9952, 125, 544, 4499, 2446])).
% 3.64/3.83 tff(9978,plain,
% 3.64/3.83 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[938, 9977])).
% 3.64/3.83 tff(9979,plain,
% 3.64/3.83 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9945, 125, 4499, 545, 2446])).
% 3.64/3.83 tff(9980,plain,
% 3.64/3.83 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[3164, 9979])).
% 3.64/3.83 tff(9981,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[7695, 91, 9980, 318, 5148, 9978, 316])).
% 3.64/3.83 tff(9982,plain,((~r(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(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(9983,plain,
% 3.64/3.83 (~r(s(z), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9982, 9976, 318, 316, 545, 2446, 9647])).
% 3.64/3.83 tff(9984,plain,
% 3.64/3.83 (b(s(z), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[1004, 9983])).
% 3.64/3.83 tff(9985,plain,
% 3.64/3.83 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9169, 9968, 8560, 1020])).
% 3.64/3.83 tff(9986,plain,
% 3.64/3.83 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[4476, 9985])).
% 3.64/3.83 tff(9987,plain,
% 3.64/3.83 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[7659, 91, 9986, 565, 318, 9984])).
% 3.64/3.83 tff(9988,plain,
% 3.64/3.83 (r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[938, 9987])).
% 3.64/3.83 tff(9989,plain,
% 3.64/3.83 (~r(z, s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[7718, 9988, 9647, 9915, 1020])).
% 3.64/3.83 tff(9990,plain,
% 3.64/3.83 (b(z, s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[3400, 9989])).
% 3.64/3.83 tff(9991,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(9992,plain,
% 3.64/3.83 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z)))) <=> ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(9993,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[9992])).
% 3.64/3.83 tff(9994,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[9993, 9991])).
% 3.64/3.83 tff(9995,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(9996,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[9995, 9994])).
% 3.64/3.83 tff(9997,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9996, 91, 9990, 9986, 429, 318, 9984, 297])).
% 3.64/3.83 tff(9998,plain,((~r(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(9999,plain,
% 3.64/3.83 (~r(s(s(z)), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[9998, 1020, 318, 297, 429, 9919, 316, 9913, 9811])).
% 3.64/3.83 tff(10000,plain,
% 3.64/3.83 (b(s(s(z)), s(z))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[857, 9999])).
% 3.64/3.83 tff(10001,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(10002,plain,
% 3.64/3.83 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(10003,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[10002])).
% 3.64/3.83 tff(10004,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[10003, 10001])).
% 3.64/3.83 tff(10005,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(10006,plain,
% 3.64/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[10005, 10004])).
% 3.64/3.83 tff(10007,plain,
% 3.64/3.83 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[10006, 91, 3382, 565, 81, 3451, 349])).
% 3.64/3.83 tff(10008,plain,
% 3.64/3.83 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[921, 64, 785, 10007])).
% 3.64/3.83 tff(10009,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(10010,plain,
% 3.64/3.83 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(10011,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[10010])).
% 3.64/3.83 tff(10012,plain,
% 3.64/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.64/3.83 inference(transitivity,[status(thm)],[10011, 10009])).
% 3.64/3.83 tff(10013,plain,
% 3.64/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.64/3.83 inference(quant_inst,[status(thm)],[])).
% 3.64/3.83 tff(10014,plain,
% 3.64/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.64/3.83 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 3.64/3.83 tff(10015,plain,
% 3.64/3.83 ($false),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[10014, 125, 3102, 544, 115, 136, 10008])).
% 3.64/3.83 tff(10016,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.83 tff(10017,plain,
% 3.64/3.83 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[10016, 3382, 115, 565, 9917, 349, 3451, 81, 544])).
% 3.64/3.83 tff(10018,plain,
% 3.64/3.83 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.83 inference(unit_resolution,[status(thm)],[938, 10017])).
% 3.64/3.83 tff(10019,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(10020,plain,
% 3.64/3.83 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.64/3.83 inference(rewrite,[status(thm)],[])).
% 3.64/3.83 tff(10021,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.64/3.83 inference(monotonicity,[status(thm)],[10020])).
% 3.64/3.83 tff(10022,plain,
% 3.64/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[10021, 10019])).
% 3.64/3.84 tff(10023,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(10024,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 3.64/3.84 tff(10025,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10024, 91, 3382, 77, 565, 79, 429, 10018])).
% 3.64/3.84 tff(10026,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10027,plain,
% 3.64/3.84 (~b(z, s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10026, 10000, 9919, 79, 429, 115, 349, 77, 81, 9647])).
% 3.64/3.84 tff(10028,plain,
% 3.64/3.84 (r(z, s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3400, 10027])).
% 3.64/3.84 tff(10029,plain,
% 3.64/3.84 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[7718, 10028, 9647, 9915, 1020])).
% 3.64/3.84 tff(10030,plain,
% 3.64/3.84 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[938, 10029])).
% 3.64/3.84 tff(10031,plain,
% 3.64/3.84 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9631, 10028, 9811, 9921, 8560])).
% 3.64/3.84 tff(10032,plain,
% 3.64/3.84 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[5705, 10031])).
% 3.64/3.84 tff(10033,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10034,plain,
% 3.64/3.84 (((~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10035,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[10034])).
% 3.64/3.84 tff(10036,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[10035, 10033])).
% 3.64/3.84 tff(10037,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(10038,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[10037, 10036])).
% 3.64/3.84 tff(10039,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10038, 91, 429, 318, 10032, 10030, 316, 10000])).
% 3.64/3.84 tff(10040,plain,((~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10041,plain,
% 3.64/3.84 (~r(s(s(s(s(z)))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10040, 9923, 318, 316, 79, 115, 429, 77, 81, 297])).
% 3.64/3.84 tff(10042,plain,
% 3.64/3.84 (b(s(s(s(s(z)))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[314, 10041])).
% 3.64/3.84 tff(10043,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10044,plain,
% 3.64/3.84 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10045,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[10044])).
% 3.64/3.84 tff(10046,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.84 inference(transitivity,[status(thm)],[10045, 10043])).
% 3.64/3.84 tff(10047,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(10048,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[10047, 10046])).
% 3.64/3.84 tff(10049,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10048, 91, 79, 81, 10042, 9923])).
% 3.64/3.84 tff(10050,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10051,plain,
% 3.64/3.84 (~b(z, s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10050, 79, 318, 316, 115, 429, 77, 297, 203])).
% 3.64/3.84 tff(10052,plain,
% 3.64/3.84 (r(z, s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[113, 10051])).
% 3.64/3.84 tff(10053,plain,
% 3.64/3.84 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[133, 10052, 8560, 115])).
% 3.64/3.84 tff(10054,plain,
% 3.64/3.84 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[369, 10053])).
% 3.64/3.84 tff(10055,plain,
% 3.64/3.84 (~r(s(s(s(s(z)))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[7832, 10052, 9647, 9915, 115])).
% 3.64/3.84 tff(10056,plain,
% 3.64/3.84 (b(s(s(s(s(z)))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[314, 10055])).
% 3.64/3.84 tff(10057,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9362, 91, 79, 429, 318, 10056, 10054, 297])).
% 3.64/3.84 tff(10058,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10059,plain,
% 3.64/3.84 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10058, 77, 318, 297, 115, 316, 429, 203])).
% 3.64/3.84 tff(10060,plain,
% 3.64/3.84 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[427, 10059])).
% 3.64/3.84 tff(10061,plain,
% 3.64/3.84 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[224, 75, 215, 203])).
% 3.64/3.84 tff(10062,plain,
% 3.64/3.84 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[246, 10061])).
% 3.64/3.84 tff(10063,plain,
% 3.64/3.84 (~r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[5620, 75, 9915, 71])).
% 3.64/3.84 tff(10064,plain,
% 3.64/3.84 (b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[163, 10063])).
% 3.64/3.84 tff(10065,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10066,plain,
% 3.64/3.84 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10067,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[10066])).
% 3.64/3.84 tff(10068,plain,
% 3.64/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[10067, 10065])).
% 3.64/3.84 tff(10069,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(10070,plain,
% 3.64/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 3.64/3.84 tff(10071,plain,
% 3.64/3.84 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10070, 91, 77, 429, 316, 297])).
% 3.64/3.84 tff(10072,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10071, 10064, 10062])).
% 3.64/3.84 tff(10073,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10074,plain,
% 3.64/3.84 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10073, 77, 429, 316, 297, 10060, 9811, 203])).
% 3.64/3.84 tff(10075,plain,
% 3.64/3.84 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[113, 10074])).
% 3.64/3.84 tff(10076,plain,
% 3.64/3.84 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[5950, 10075, 429, 77])).
% 3.64/3.84 tff(10077,plain,
% 3.64/3.84 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[163, 10076])).
% 3.64/3.84 tff(10078,plain,
% 3.64/3.84 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[8696, 10077, 115, 8560, 9915])).
% 3.64/3.84 tff(10079,plain,
% 3.64/3.84 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[563, 10078])).
% 3.64/3.84 tff(10080,plain,
% 3.64/3.84 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[6362, 10079, 297, 318])).
% 3.64/3.84 tff(10081,plain,
% 3.64/3.84 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[69, 10080])).
% 3.64/3.84 tff(10082,plain,
% 3.64/3.84 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[212, 10081, 115, 203])).
% 3.64/3.84 tff(10083,plain,
% 3.64/3.84 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[369, 10082])).
% 3.64/3.84 tff(10084,plain,
% 3.64/3.84 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[8696, 136, 115, 8560, 9915])).
% 3.64/3.84 tff(10085,plain,
% 3.64/3.84 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[563, 10084])).
% 3.64/3.84 tff(10086,plain,
% 3.64/3.84 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[6362, 10085, 297, 318])).
% 3.64/3.84 tff(10087,plain,
% 3.64/3.84 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[69, 10086])).
% 3.64/3.84 tff(10088,plain,
% 3.64/3.84 (~b(s(s(z)), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10016, 3382, 115, 10085, 136, 349, 3102, 81, 9647])).
% 3.64/3.84 tff(10089,plain,
% 3.64/3.84 (r(s(s(z)), s(z))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[857, 10088])).
% 3.64/3.84 tff(10090,plain,
% 3.64/3.84 (~b(s(s(z)), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9966, 10089, 9811, 318, 9913, 316, 10085, 297])).
% 3.64/3.84 tff(10091,plain,
% 3.64/3.84 (r(s(s(z)), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[898, 10090])).
% 3.64/3.84 tff(10092,plain,
% 3.64/3.84 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9601, 125, 9915, 10091, 9913, 10089])).
% 3.64/3.84 tff(10093,plain,
% 3.64/3.84 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[5705, 10092])).
% 3.64/3.84 tff(10094,plain,
% 3.64/3.84 (~r(s(z), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9982, 10093, 318, 316, 9913, 10089, 9647])).
% 3.64/3.84 tff(10095,plain,
% 3.64/3.84 (b(s(z), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[1004, 10094])).
% 3.64/3.84 tff(10096,plain,
% 3.64/3.84 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[5636, 125, 9647, 9915, 10091, 10089])).
% 3.64/3.84 tff(10097,plain,
% 3.64/3.84 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[4476, 10096])).
% 3.64/3.84 tff(10098,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9996, 91, 3382, 10097, 429, 318, 10095, 297])).
% 3.64/3.84 tff(10099,plain,((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10100,plain,
% 3.64/3.84 (~b(z, s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10099, 3102, 318, 297, 316, 115, 136, 349, 429, 81])).
% 3.64/3.84 tff(10101,plain,
% 3.64/3.84 (r(z, s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[3400, 10100])).
% 3.64/3.84 tff(10102,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9425, 125, 10101, 9811, 10087, 3102, 8560])).
% 3.64/3.84 tff(10103,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10104,plain,
% 3.64/3.84 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10103, 10077, 297, 316, 115, 318, 10083, 429, 10075])).
% 3.64/3.84 tff(10105,plain,
% 3.64/3.84 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[938, 10104])).
% 3.64/3.84 tff(10106,plain,
% 3.64/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10107,plain,
% 3.64/3.84 (((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.84 inference(rewrite,[status(thm)],[])).
% 3.64/3.84 tff(10108,plain,
% 3.64/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 3.64/3.84 inference(monotonicity,[status(thm)],[10107])).
% 3.64/3.84 tff(10109,plain,
% 3.64/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.84 inference(transitivity,[status(thm)],[10108, 10106])).
% 3.64/3.84 tff(10110,plain,
% 3.64/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.64/3.84 inference(quant_inst,[status(thm)],[])).
% 3.64/3.84 tff(10111,plain,
% 3.64/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 3.64/3.84 inference(modus_ponens,[status(thm)],[10110, 10109])).
% 3.64/3.84 tff(10112,plain,
% 3.64/3.84 ($false),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10111, 125, 3403, 411, 71, 4499, 136])).
% 3.64/3.84 tff(10113,plain,((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.84 tff(10114,plain,
% 3.64/3.84 (~r(s(z), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[10113, 3403, 411, 71, 136])).
% 3.64/3.84 tff(10115,plain,
% 3.64/3.84 (b(s(z), s(s(z)))),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[1004, 10114])).
% 3.64/3.84 tff(10116,plain,
% 3.64/3.84 (~b(s(s(z)), z)),
% 3.64/3.84 inference(unit_resolution,[status(thm)],[9937, 10115, 565, 318, 316, 545, 215, 297])).
% 3.64/3.84 tff(10117,plain,
% 3.64/3.84 (r(s(s(z)), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[898, 10116])).
% 3.64/3.85 tff(10118,plain,
% 3.64/3.85 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[8115, 10117, 71, 3403])).
% 3.64/3.85 tff(10119,plain,
% 3.64/3.85 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5101, 10118])).
% 3.64/3.85 tff(10120,plain,
% 3.64/3.85 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[9631, 3403, 215, 9925, 8560])).
% 3.64/3.85 tff(10121,plain,
% 3.64/3.85 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5705, 10120])).
% 3.64/3.85 tff(10122,plain,
% 3.64/3.85 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5298, 10115, 297, 10121])).
% 3.64/3.85 tff(10123,plain,
% 3.64/3.85 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[3164, 10122])).
% 3.64/3.85 tff(10124,plain,
% 3.64/3.85 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[6500, 10123, 9647, 9925, 545])).
% 3.64/3.85 tff(10125,plain,
% 3.64/3.85 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[4476, 10124])).
% 3.64/3.85 tff(10126,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[7141, 10125, 10119, 318, 923, 349])).
% 3.64/3.85 tff(10127,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10128,plain,
% 3.64/3.85 (~r(z, s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10127, 10105, 318, 10083, 9913, 10060, 297, 10079, 316, 9811, 9915, 10077])).
% 3.64/3.85 tff(10129,plain,
% 3.64/3.85 (b(z, s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[3400, 10128])).
% 3.64/3.85 tff(10130,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10131,plain,
% 3.64/3.85 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10132,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[10131])).
% 3.64/3.85 tff(10133,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.85 inference(transitivity,[status(thm)],[10132, 10130])).
% 3.64/3.85 tff(10134,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(10135,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[10134, 10133])).
% 3.64/3.85 tff(10136,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10135, 91, 10129, 10079, 318, 10105, 316, 297])).
% 3.64/3.85 tff(10137,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10138,plain,
% 3.64/3.85 (~b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10137, 429, 316, 297, 115, 318, 203])).
% 3.64/3.85 tff(10139,plain,
% 3.64/3.85 (r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[394, 10138])).
% 3.64/3.85 tff(10140,plain,
% 3.64/3.85 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[3299, 10139, 115, 9913, 203])).
% 3.64/3.85 tff(10141,plain,
% 3.64/3.85 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[69, 10140])).
% 3.64/3.85 tff(10142,plain,
% 3.64/3.85 (~b(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[6362, 10141, 297, 318])).
% 3.64/3.85 tff(10143,plain,
% 3.64/3.85 (r(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[563, 10142])).
% 3.64/3.85 tff(10144,plain,
% 3.64/3.85 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[738, 10143, 9647, 10139])).
% 3.64/3.85 tff(10145,plain,
% 3.64/3.85 (~r(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5930, 10139, 9647, 9915, 115])).
% 3.64/3.85 tff(10146,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[314, 10145])).
% 3.64/3.85 tff(10147,plain,
% 3.64/3.85 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[8766, 10141, 8560, 203, 9811])).
% 3.64/3.85 tff(10148,plain,
% 3.64/3.85 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[113, 10147])).
% 3.64/3.85 tff(10149,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10150,plain,
% 3.64/3.85 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(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)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10151,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[10150])).
% 3.64/3.85 tff(10152,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.85 inference(transitivity,[status(thm)],[10151, 10149])).
% 3.64/3.85 tff(10153,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(10154,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[10153, 10152])).
% 3.64/3.85 tff(10155,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10154, 91, 76, 81, 318, 74, 316, 349])).
% 3.64/3.85 tff(10156,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10157,plain,
% 3.64/3.85 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10156, 10148, 318, 10146, 10141, 316])).
% 3.64/3.85 tff(10158,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[369, 10157, 10144])).
% 3.64/3.85 tff(10159,plain,((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10160,plain,
% 3.64/3.85 (~b(z, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10159, 318, 316, 203, 297, 115])).
% 3.64/3.85 tff(10161,plain,
% 3.64/3.85 (r(z, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[267, 10160])).
% 3.64/3.85 tff(10162,plain,
% 3.64/3.85 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[9665, 10161, 8560, 9647])).
% 3.64/3.85 tff(10163,plain,
% 3.64/3.85 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[563, 10162])).
% 3.64/3.85 tff(10164,plain,
% 3.64/3.85 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[9825, 10161, 8560, 9647, 9811])).
% 3.64/3.85 tff(10165,plain,
% 3.64/3.85 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[69, 10164])).
% 3.64/3.85 tff(10166,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[6362, 10165, 10163, 297, 318])).
% 3.64/3.85 tff(10167,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10168,plain,
% 3.64/3.85 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10167, 203, 316, 297, 115])).
% 3.64/3.85 tff(10169,plain,
% 3.64/3.85 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[336, 10168])).
% 3.64/3.85 tff(10170,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[4020, 125, 410, 203, 544, 347, 115])).
% 3.64/3.85 tff(10171,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10172,plain,
% 3.64/3.85 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10171, 203, 9647, 10169, 115])).
% 3.64/3.85 tff(10173,plain,
% 3.64/3.85 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[394, 10172])).
% 3.64/3.85 tff(10174,plain,
% 3.64/3.85 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[8754, 10169, 8560, 9811, 203])).
% 3.64/3.85 tff(10175,plain,
% 3.64/3.85 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[113, 10174])).
% 3.64/3.85 tff(10176,plain,
% 3.64/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10177,plain,
% 3.64/3.85 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~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(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10178,plain,
% 3.64/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[10177])).
% 3.64/3.85 tff(10179,plain,
% 3.64/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.64/3.85 inference(transitivity,[status(thm)],[10178, 10176])).
% 3.64/3.85 tff(10180,plain,
% 3.64/3.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.64/3.85 inference(quant_inst,[status(thm)],[])).
% 3.64/3.85 tff(10181,plain,
% 3.64/3.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.64/3.85 inference(modus_ponens,[status(thm)],[10180, 10179])).
% 3.64/3.85 tff(10182,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10181, 125, 544, 347, 115, 545, 136])).
% 3.64/3.85 tff(10183,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10184,plain,
% 3.64/3.85 (~r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10183, 10169, 9647, 115, 9913])).
% 3.64/3.85 tff(10185,plain,
% 3.64/3.85 (b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[163, 10184])).
% 3.64/3.85 tff(10186,plain,
% 3.64/3.85 (~b(z, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5950, 10185, 10175, 10173])).
% 3.64/3.85 tff(10187,plain,
% 3.64/3.85 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[4195, 10169, 115, 203])).
% 3.64/3.85 tff(10188,plain,
% 3.64/3.85 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[246, 10187])).
% 3.64/3.85 tff(10189,plain,
% 3.64/3.85 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5970, 10188, 316, 10175])).
% 3.64/3.85 tff(10190,plain,
% 3.64/3.85 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[427, 10189])).
% 3.64/3.85 tff(10191,plain,
% 3.64/3.85 (~r(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[6067, 10169, 9647, 9913, 9811])).
% 3.64/3.85 tff(10192,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[314, 10191])).
% 3.64/3.85 tff(10193,plain,
% 3.64/3.85 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[8622, 10169, 8560, 9811])).
% 3.64/3.85 tff(10194,plain,
% 3.64/3.85 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[69, 10193])).
% 3.64/3.85 tff(10195,plain,
% 3.64/3.85 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5970, 298, 316, 81])).
% 3.64/3.85 tff(10196,plain,
% 3.64/3.85 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[427, 10195])).
% 3.64/3.85 tff(10197,plain,
% 3.64/3.85 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5839, 72, 297, 316, 81, 76])).
% 3.64/3.85 tff(10198,plain,
% 3.64/3.85 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[369, 10197])).
% 3.64/3.85 tff(10199,plain,
% 3.64/3.85 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[9839, 10198, 8560, 9647, 10196])).
% 3.64/3.85 tff(10200,plain,
% 3.64/3.85 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[394, 10199])).
% 3.64/3.85 tff(10201,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[304, 91, 10200, 76, 74, 72, 298, 297])).
% 3.64/3.85 tff(10202,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10203,plain,
% 3.64/3.85 (~b(s(z), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10202, 10194, 10192, 10188, 297, 316, 10175])).
% 3.64/3.85 tff(10204,plain,
% 3.64/3.85 (r(s(z), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[408, 10203])).
% 3.64/3.85 tff(10205,plain,
% 3.64/3.85 (~r(z, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[9665, 135, 80, 544])).
% 3.64/3.85 tff(10206,plain,
% 3.64/3.85 (b(z, s(z))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[267, 10205])).
% 3.64/3.85 tff(10207,plain,
% 3.64/3.85 (~r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5058, 135, 115, 411, 71])).
% 3.64/3.85 tff(10208,plain,
% 3.64/3.85 (b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[163, 10207])).
% 3.64/3.85 tff(10209,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5950, 10208, 10206, 81, 77])).
% 3.64/3.85 tff(10210,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10211,plain,
% 3.64/3.85 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10210, 10175, 10173, 115, 10204, 10190, 8560, 9647])).
% 3.64/3.85 tff(10212,plain,
% 3.64/3.85 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[563, 10211])).
% 3.64/3.85 tff(10213,plain,
% 3.64/3.85 (~r(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[6067, 347, 9647, 9913, 9811])).
% 3.64/3.85 tff(10214,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), z)),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[314, 10213])).
% 3.64/3.85 tff(10215,plain,
% 3.64/3.85 (~r(s(z), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[4507, 3403, 9811, 270, 9913])).
% 3.64/3.85 tff(10216,plain,
% 3.64/3.85 (b(s(z), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[1004, 10215])).
% 3.64/3.85 tff(10217,plain,
% 3.64/3.85 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[9719, 3403, 8560, 9647, 270])).
% 3.64/3.85 tff(10218,plain,
% 3.64/3.85 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[4476, 10217])).
% 3.64/3.85 tff(10219,plain,
% 3.64/3.85 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[8912, 10218, 10214, 10216, 316, 297])).
% 3.64/3.85 tff(10220,plain,
% 3.64/3.85 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[3164, 10219])).
% 3.64/3.85 tff(10221,plain,
% 3.64/3.85 ($false),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[8485, 91, 77, 176, 5653, 4925])).
% 3.64/3.85 tff(10222,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.85 tff(10223,plain,
% 3.64/3.85 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[10222, 10216, 176, 77])).
% 3.64/3.85 tff(10224,plain,
% 3.64/3.85 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5666, 10223])).
% 3.64/3.85 tff(10225,plain,
% 3.64/3.85 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[8892, 10224, 347, 10220, 115])).
% 3.64/3.85 tff(10226,plain,
% 3.64/3.85 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[938, 10225])).
% 3.64/3.85 tff(10227,plain,
% 3.64/3.85 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[4969, 10220, 9811, 3403])).
% 3.64/3.85 tff(10228,plain,
% 3.64/3.85 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.85 inference(unit_resolution,[status(thm)],[5705, 10227])).
% 3.64/3.85 tff(10229,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(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(X1, 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(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10230,plain,
% 3.64/3.85 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(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(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.85 inference(rewrite,[status(thm)],[])).
% 3.64/3.85 tff(10231,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(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(X1, 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(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.85 inference(monotonicity,[status(thm)],[10230])).
% 3.64/3.85 tff(10232,plain,
% 3.64/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(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(X1, 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(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.85 inference(transitivity,[status(thm)],[10231, 10229])).
% 3.64/3.85 tff(10233,plain,
% 3.64/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(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)))))))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(10234,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[10233, 10232])).
% 3.64/3.86 tff(10235,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10234, 91, 565, 10228, 10226, 10216, 10214, 316])).
% 3.64/3.86 tff(10236,plain,((~r(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10237,plain,
% 3.64/3.86 (~r(z, s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10236, 176, 316, 347, 115, 565, 77, 297, 270])).
% 3.64/3.86 tff(10238,plain,
% 3.64/3.86 (b(z, s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[3400, 10237])).
% 3.64/3.86 tff(10239,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10240,plain,
% 3.64/3.86 (((~b(z, s(s(z)))) | (~b(z, 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(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10241,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, 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(X1, 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)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[10240])).
% 3.64/3.86 tff(10242,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, 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(X1, 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)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.86 inference(transitivity,[status(thm)],[10241, 10239])).
% 3.64/3.86 tff(10243,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, 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)))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(10244,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[10243, 10242])).
% 3.64/3.86 tff(10245,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10244, 91, 3382, 924, 923, 74])).
% 3.64/3.86 tff(10246,plain,((~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))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10247,plain,
% 3.64/3.86 (~b(s(s(z)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10246, 923, 74, 3382])).
% 3.64/3.86 tff(10248,plain,
% 3.64/3.86 (r(s(s(z)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[898, 10247])).
% 3.64/3.86 tff(10249,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10250,plain,
% 3.64/3.86 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10251,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[10250])).
% 3.64/3.86 tff(10252,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[10251, 10249])).
% 3.64/3.86 tff(10253,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(10254,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[10253, 10252])).
% 3.64/3.86 tff(10255,plain,
% 3.64/3.86 (~b(s(s(z)), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10254, 91, 77, 565, 176, 7115])).
% 3.64/3.86 tff(10256,plain,
% 3.64/3.86 (r(s(s(z)), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[857, 10255])).
% 3.64/3.86 tff(10257,plain,
% 3.64/3.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10258,plain,
% 3.64/3.86 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~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(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10259,plain,
% 3.64/3.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z)))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[10258])).
% 3.64/3.86 tff(10260,plain,
% 3.64/3.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.64/3.86 inference(transitivity,[status(thm)],[10259, 10257])).
% 3.64/3.86 tff(10261,plain,
% 3.64/3.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(10262,plain,
% 3.64/3.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z)))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 3.64/3.86 tff(10263,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10262, 125, 544, 836, 80, 10256, 4539])).
% 3.64/3.86 tff(10264,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10265,plain,
% 3.64/3.86 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10264, 10248, 544, 80, 77, 565, 176, 71, 115])).
% 3.64/3.86 tff(10266,plain,
% 3.64/3.86 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[4476, 10265])).
% 3.64/3.86 tff(10267,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10268,plain,
% 3.64/3.86 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(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)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.86 inference(rewrite,[status(thm)],[])).
% 3.64/3.86 tff(10269,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.86 inference(monotonicity,[status(thm)],[10268])).
% 3.64/3.86 tff(10270,plain,
% 3.64/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.86 inference(transitivity,[status(thm)],[10269, 10267])).
% 3.64/3.86 tff(10271,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))),
% 3.64/3.86 inference(quant_inst,[status(thm)],[])).
% 3.64/3.86 tff(10272,plain,
% 3.64/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.86 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 3.64/3.86 tff(10273,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10272, 91, 3382, 10266, 923, 74])).
% 3.64/3.86 tff(10274,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10275,plain,
% 3.64/3.86 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10274, 10238, 10214, 9647, 8560, 77, 565, 176, 71, 115])).
% 3.64/3.86 tff(10276,plain,
% 3.64/3.86 (r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[938, 10275])).
% 3.64/3.86 tff(10277,plain,
% 3.64/3.86 (~r(s(z), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9745, 10276, 9647, 347, 9913])).
% 3.64/3.86 tff(10278,plain,
% 3.64/3.86 (b(s(z), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1004, 10277])).
% 3.64/3.86 tff(10279,plain,
% 3.64/3.86 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10222, 10278, 176, 77])).
% 3.64/3.86 tff(10280,plain,
% 3.64/3.86 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[5666, 10279])).
% 3.64/3.86 tff(10281,plain,
% 3.64/3.86 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[8892, 10280, 347, 10276, 115])).
% 3.64/3.86 tff(10282,plain,
% 3.64/3.86 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[3164, 10281])).
% 3.64/3.86 tff(10283,plain,
% 3.64/3.86 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[8912, 10282, 10214, 10278, 316, 297])).
% 3.64/3.86 tff(10284,plain,
% 3.64/3.86 (r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[4476, 10283])).
% 3.64/3.86 tff(10285,plain,
% 3.64/3.86 (~r(s(s(z)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10264, 10284, 9647, 8560, 77, 565, 176, 71, 115])).
% 3.64/3.86 tff(10286,plain,
% 3.64/3.86 (b(s(s(z)), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[898, 10285])).
% 3.64/3.86 tff(10287,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[7740, 91, 10238, 10286, 10282, 316])).
% 3.64/3.86 tff(10288,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10289,plain,
% 3.64/3.86 (~r(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10288, 10185, 10173, 10212, 10190, 115, 297, 10169, 316])).
% 3.64/3.86 tff(10290,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[267, 10289, 10186])).
% 3.64/3.86 tff(10291,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10292,plain,
% 3.64/3.86 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10291, 115, 297, 316])).
% 3.64/3.86 tff(10293,plain,
% 3.64/3.86 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1313, 10292])).
% 3.64/3.86 tff(10294,plain,
% 3.64/3.86 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[501, 9671, 297, 10293])).
% 3.64/3.86 tff(10295,plain,
% 3.64/3.86 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[246, 10294])).
% 3.64/3.86 tff(10296,plain,
% 3.64/3.86 (~r(s(s(s(s(s(z))))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[654, 10295, 9913, 9811, 410])).
% 3.64/3.86 tff(10297,plain,
% 3.64/3.86 (b(s(s(s(s(s(z))))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[427, 10296])).
% 3.64/3.86 tff(10298,plain,
% 3.64/3.86 (~b(z, s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[419, 10297, 316, 10293])).
% 3.64/3.86 tff(10299,plain,
% 3.64/3.86 (r(z, s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[113, 10298])).
% 3.64/3.86 tff(10300,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[8714, 125, 10299, 9811, 8560, 10295, 115])).
% 3.64/3.86 tff(10301,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10302,plain,
% 3.64/3.86 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10301, 115, 316, 297])).
% 3.64/3.86 tff(10303,plain,
% 3.64/3.86 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[394, 10302])).
% 3.64/3.86 tff(10304,plain,
% 3.64/3.86 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[4419, 10303, 297, 10293])).
% 3.64/3.86 tff(10305,plain,
% 3.64/3.86 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[163, 10304])).
% 3.64/3.86 tff(10306,plain,
% 3.64/3.86 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10183, 10305, 9647, 115, 9913])).
% 3.64/3.86 tff(10307,plain,
% 3.64/3.86 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[336, 10306])).
% 3.64/3.86 tff(10308,plain,
% 3.64/3.86 (~r(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9665, 135, 8560, 9647])).
% 3.64/3.86 tff(10309,plain,
% 3.64/3.86 (b(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[267, 10308])).
% 3.64/3.86 tff(10310,plain,
% 3.64/3.86 (~r(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[8696, 135, 115, 8560, 10305])).
% 3.64/3.86 tff(10311,plain,
% 3.64/3.86 (b(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[408, 10310])).
% 3.64/3.86 tff(10312,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9078, 10311, 10309, 316, 297])).
% 3.64/3.86 tff(10313,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10314,plain,
% 3.64/3.86 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10313, 115, 297, 316])).
% 3.64/3.86 tff(10315,plain,
% 3.64/3.86 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[563, 10314])).
% 3.64/3.86 tff(10316,plain,
% 3.64/3.86 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[6362, 10315, 297, 10307])).
% 3.64/3.86 tff(10317,plain,
% 3.64/3.86 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[69, 10316])).
% 3.64/3.86 tff(10318,plain,
% 3.64/3.86 (~r(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9825, 10317, 8560, 9647, 9811])).
% 3.64/3.86 tff(10319,plain,
% 3.64/3.86 (b(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[267, 10318])).
% 3.64/3.86 tff(10320,plain,
% 3.64/3.86 (~b(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9078, 10319, 316, 297])).
% 3.64/3.86 tff(10321,plain,
% 3.64/3.86 (r(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[408, 10320])).
% 3.64/3.86 tff(10322,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[8662, 125, 75, 215, 204, 80, 115])).
% 3.64/3.86 tff(10323,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10324,plain,
% 3.64/3.86 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10323, 9811, 10317, 8560, 115])).
% 3.64/3.86 tff(10325,plain,
% 3.64/3.86 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[113, 10324])).
% 3.64/3.86 tff(10326,plain,
% 3.64/3.86 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[419, 10325, 316, 10293])).
% 3.64/3.86 tff(10327,plain,
% 3.64/3.86 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[427, 10326])).
% 3.64/3.86 tff(10328,plain,
% 3.64/3.86 (~r(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9825, 9925, 8560, 9647, 215])).
% 3.64/3.86 tff(10329,plain,
% 3.64/3.86 (b(z, s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[267, 10328])).
% 3.64/3.86 tff(10330,plain,
% 3.64/3.86 (~b(s(s(z)), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[7756, 4925, 565, 10329, 3382])).
% 3.64/3.86 tff(10331,plain,
% 3.64/3.86 (r(s(s(z)), s(z))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[857, 10330])).
% 3.64/3.86 tff(10332,plain,
% 3.64/3.86 (~b(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9078, 10329, 316, 297])).
% 3.64/3.86 tff(10333,plain,
% 3.64/3.86 (r(s(z), z)),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[408, 10332])).
% 3.64/3.86 tff(10334,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[5636, 125, 9647, 10333, 9968, 2446, 4539])).
% 3.64/3.86 tff(10335,plain,((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10336,plain,
% 3.64/3.86 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10335, 10331, 215, 318, 545, 316, 565, 297])).
% 3.64/3.86 tff(10337,plain,
% 3.64/3.86 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[4476, 10336])).
% 3.64/3.86 tff(10338,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[9996, 91, 3382, 10337, 10329, 318, 4925, 297])).
% 3.64/3.86 tff(10339,plain,((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10340,plain,
% 3.64/3.86 (~b(s(z), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10339, 3382, 10307, 297, 9811, 9913, 316, 10315])).
% 3.64/3.86 tff(10341,plain,
% 3.64/3.86 (r(s(z), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[1004, 10340])).
% 3.64/3.86 tff(10342,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[6561, 125, 411, 71, 4499, 136, 5707])).
% 3.64/3.86 tff(10343,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10344,plain,
% 3.64/3.86 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10343, 10341, 10327, 10321, 10305])).
% 3.64/3.86 tff(10345,plain,
% 3.64/3.86 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[5666, 10344])).
% 3.64/3.86 tff(10346,plain,
% 3.64/3.86 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[5129, 91, 3382, 10303, 10325, 10345])).
% 3.64/3.86 tff(10347,plain,
% 3.64/3.86 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[5101, 10346])).
% 3.64/3.86 tff(10348,plain,
% 3.64/3.86 ($false),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10135, 91, 3382, 565, 318, 923, 316, 297])).
% 3.64/3.86 tff(10349,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(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)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.86 tff(10350,plain,
% 3.64/3.86 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.86 inference(unit_resolution,[status(thm)],[10349, 3382, 10315, 10307, 316, 297])).
% 3.64/3.86 tff(10351,plain,
% 3.64/3.87 (r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[938, 10350])).
% 3.64/3.87 tff(10352,plain,
% 3.64/3.87 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10099, 10351, 10307, 297, 316, 115, 10305, 10325, 10319, 3382])).
% 3.64/3.87 tff(10353,plain,
% 3.64/3.87 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[369, 10352])).
% 3.64/3.87 tff(10354,plain,
% 3.64/3.87 (~r(s(s(s(s(z)))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[8982, 10353, 316, 115, 10317, 10325])).
% 3.64/3.87 tff(10355,plain,
% 3.64/3.87 (b(s(s(s(s(z)))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[314, 10354])).
% 3.64/3.87 tff(10356,plain,
% 3.64/3.87 (~b(s(s(z)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9559, 4456, 3382, 74])).
% 3.64/3.87 tff(10357,plain,
% 3.64/3.87 (r(s(s(z)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[898, 10356])).
% 3.64/3.87 tff(10358,plain,
% 3.64/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10359,plain,
% 3.64/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(10360,plain,
% 3.64/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 3.64/3.87 tff(10361,plain,
% 3.64/3.87 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10360, 125, 3102, 71, 10357, 73])).
% 3.64/3.87 tff(10362,plain,
% 3.64/3.87 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[5101, 10361])).
% 3.64/3.87 tff(10363,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10364,plain,
% 3.64/3.87 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10365,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[10364])).
% 3.64/3.87 tff(10366,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[10365, 10363])).
% 3.64/3.87 tff(10367,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(10368,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[10367, 10366])).
% 3.64/3.87 tff(10369,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10368, 91, 3382, 4456, 81, 5653, 10362])).
% 3.64/3.87 tff(10370,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(10371,plain,
% 3.64/3.87 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10370, 3382, 10325, 10345, 10351, 10327, 10353, 10355])).
% 3.64/3.87 tff(10372,plain,
% 3.64/3.87 (r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[4476, 10371])).
% 3.64/3.87 tff(10373,plain,
% 3.64/3.87 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[6500, 10372, 9647, 10317, 9913])).
% 3.64/3.87 tff(10374,plain,
% 3.64/3.87 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[3164, 10373])).
% 3.64/3.87 tff(10375,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10376,plain,
% 3.64/3.87 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10377,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[10376])).
% 3.64/3.87 tff(10378,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[10377, 10375])).
% 3.64/3.87 tff(10379,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(10380,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[10379, 10378])).
% 3.64/3.87 tff(10381,plain,
% 3.64/3.87 (~b(s(s(z)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10380, 91, 3382, 10374, 10345, 316])).
% 3.64/3.87 tff(10382,plain,
% 3.64/3.87 (r(s(s(z)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[898, 10381])).
% 3.64/3.87 tff(10383,plain,
% 3.64/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10384,plain,
% 3.64/3.87 (((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10385,plain,
% 3.64/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[10384])).
% 3.64/3.87 tff(10386,plain,
% 3.64/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[10385, 10383])).
% 3.64/3.87 tff(10387,plain,
% 3.64/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(10388,plain,
% 3.64/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[10387, 10386])).
% 3.64/3.87 tff(10389,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10388, 125, 10321, 10382, 10341, 10305, 10347])).
% 3.64/3.87 tff(10390,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(10391,plain,
% 3.64/3.87 (~b(z, s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10390, 115, 316, 297])).
% 3.64/3.87 tff(10392,plain,
% 3.64/3.87 (r(z, s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[3400, 10391])).
% 3.64/3.87 tff(10393,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9425, 125, 3403, 215, 204, 3102, 80])).
% 3.64/3.87 tff(10394,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(10395,plain,
% 3.64/3.87 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10394, 10392, 9811, 10317, 8560])).
% 3.64/3.87 tff(10396,plain,
% 3.64/3.87 (b(s(s(s(s(z)))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[938, 10395])).
% 3.64/3.87 tff(10397,plain,
% 3.64/3.87 (~r(s(z), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10113, 10392, 10321, 10327, 10305])).
% 3.64/3.87 tff(10398,plain,
% 3.64/3.87 (b(s(z), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1004, 10397])).
% 3.64/3.87 tff(10399,plain,
% 3.64/3.87 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9631, 10392, 9811, 10317, 8560])).
% 3.64/3.87 tff(10400,plain,
% 3.64/3.87 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[5705, 10399])).
% 3.64/3.87 tff(10401,plain,
% 3.64/3.87 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[5298, 10400, 297, 10398])).
% 3.64/3.87 tff(10402,plain,
% 3.64/3.87 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[3164, 10401])).
% 3.64/3.87 tff(10403,plain,
% 3.64/3.87 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[6500, 10402, 9647, 10317, 9913])).
% 3.64/3.87 tff(10404,plain,
% 3.64/3.87 (b(s(s(z)), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[4476, 10403])).
% 3.64/3.87 tff(10405,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(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(s(z))))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10406,plain,
% 3.64/3.87 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(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(s(z))))))))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10407,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(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(s(z)))))))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[10406])).
% 3.64/3.87 tff(10408,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(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(s(z))))))))),
% 3.64/3.87 inference(transitivity,[status(thm)],[10407, 10405])).
% 3.64/3.87 tff(10409,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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)))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(10410,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.64/3.87 inference(modus_ponens,[status(thm)],[10409, 10408])).
% 3.64/3.87 tff(10411,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10410, 91, 4456, 565, 5653, 923, 4925])).
% 3.64/3.87 tff(10412,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(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))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(10413,plain,
% 3.64/3.87 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10412, 10404, 10315, 10398, 10396])).
% 3.64/3.87 tff(10414,plain,
% 3.64/3.87 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[5666, 10413])).
% 3.64/3.87 tff(10415,plain,
% 3.64/3.87 (~b(s(s(z)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9937, 10398, 10307, 10315, 316, 9913, 9811, 297])).
% 3.64/3.87 tff(10416,plain,
% 3.64/3.87 (r(s(s(z)), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[898, 10415])).
% 3.64/3.87 tff(10417,plain,
% 3.64/3.87 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[8115, 10416, 10327, 10392])).
% 3.64/3.87 tff(10418,plain,
% 3.64/3.87 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[5101, 10417])).
% 3.64/3.87 tff(10419,plain,
% 3.64/3.87 (~b(s(s(z)), s(z))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9783, 10418, 10303, 10398])).
% 3.64/3.87 tff(10420,plain,
% 3.64/3.87 (r(s(s(z)), s(z))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[857, 10419])).
% 3.64/3.87 tff(10421,plain,
% 3.64/3.87 ($false),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[8133, 125, 10327, 10416, 10305, 10420, 10414])).
% 3.64/3.87 tff(10422,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.87 tff(10423,plain,
% 3.64/3.87 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[10422, 297, 316])).
% 3.64/3.87 tff(10424,plain,
% 3.64/3.87 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[689, 10423])).
% 3.64/3.87 tff(10425,plain,
% 3.64/3.87 (~b(s(z), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9078, 10309, 316, 297])).
% 3.64/3.87 tff(10426,plain,
% 3.64/3.87 (r(s(z), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[408, 10425])).
% 3.64/3.87 tff(10427,plain,
% 3.64/3.87 (~r(s(s(s(s(z)))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9068, 10426, 8560, 135])).
% 3.64/3.87 tff(10428,plain,
% 3.64/3.87 (b(s(s(s(s(z)))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[314, 10427])).
% 3.64/3.87 tff(10429,plain,
% 3.64/3.87 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9655, 10309, 316, 297])).
% 3.64/3.87 tff(10430,plain,
% 3.64/3.87 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[542, 10429])).
% 3.64/3.87 tff(10431,plain,
% 3.64/3.87 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[553, 10430, 9647, 135])).
% 3.64/3.87 tff(10432,plain,
% 3.64/3.87 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[69, 10431])).
% 3.64/3.87 tff(10433,plain,
% 3.64/3.87 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[8706, 10309, 316, 297])).
% 3.64/3.87 tff(10434,plain,
% 3.64/3.87 (r(z, s(s(s(s(s(s(z)))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1093, 10433])).
% 3.64/3.87 tff(10435,plain,
% 3.64/3.87 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9268, 10432, 10424, 10309, 10428, 316])).
% 3.64/3.87 tff(10436,plain,
% 3.64/3.87 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[163, 10435])).
% 3.64/3.87 tff(10437,plain,
% 3.64/3.87 (~r(s(s(s(s(s(z))))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[9103, 10436, 8560, 135, 10426])).
% 3.64/3.87 tff(10438,plain,
% 3.64/3.87 (b(s(s(s(s(s(z))))), z)),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[427, 10437])).
% 3.64/3.87 tff(10439,plain,
% 3.64/3.87 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[6871, 349, 669, 76])).
% 3.64/3.87 tff(10440,plain,
% 3.64/3.87 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[1313, 10439])).
% 3.64/3.87 tff(10441,plain,
% 3.64/3.87 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[8766, 10440, 76, 215, 80])).
% 3.64/3.87 tff(10442,plain,
% 3.64/3.87 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.87 inference(unit_resolution,[status(thm)],[113, 10441])).
% 3.64/3.87 tff(10443,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10444,plain,
% 3.64/3.87 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.87 inference(rewrite,[status(thm)],[])).
% 3.64/3.87 tff(10445,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.87 inference(monotonicity,[status(thm)],[10444])).
% 3.64/3.87 tff(10446,plain,
% 3.64/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.87 inference(transitivity,[status(thm)],[10445, 10443])).
% 3.64/3.87 tff(10447,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.64/3.87 inference(quant_inst,[status(thm)],[])).
% 3.64/3.87 tff(10448,plain,
% 3.64/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[10447, 10446])).
% 3.64/3.88 tff(10449,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10448, 91, 79, 10442, 669, 74, 349])).
% 3.64/3.88 tff(10450,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10451,plain,
% 3.64/3.88 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10450, 10438, 10424, 10434, 10432, 10428, 8560])).
% 3.64/3.88 tff(10452,plain,
% 3.64/3.88 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[369, 10451])).
% 3.64/3.88 tff(10453,plain,
% 3.64/3.88 (~b(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[9115, 10438, 10424, 10428])).
% 3.64/3.88 tff(10454,plain,
% 3.64/3.88 (r(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[113, 10453])).
% 3.64/3.88 tff(10455,plain,
% 3.64/3.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10456,plain,
% 3.64/3.88 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10457,plain,
% 3.64/3.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[10456])).
% 3.64/3.88 tff(10458,plain,
% 3.64/3.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[10457, 10455])).
% 3.64/3.88 tff(10459,plain,
% 3.64/3.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(10460,plain,
% 3.64/3.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[10459, 10458])).
% 3.64/3.88 tff(10461,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10460, 125, 75, 215, 80, 347, 73])).
% 3.64/3.88 tff(10462,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10463,plain,
% 3.64/3.88 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10462, 10454, 10434, 8560, 10452])).
% 3.64/3.88 tff(10464,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[336, 10463])).
% 3.64/3.88 tff(10465,plain,
% 3.64/3.88 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[8766, 10454, 8560, 10432, 10434])).
% 3.64/3.88 tff(10466,plain,
% 3.64/3.88 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1313, 10465])).
% 3.64/3.88 tff(10467,plain,
% 3.64/3.88 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[738, 73, 135, 410])).
% 3.64/3.88 tff(10468,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[201, 10467])).
% 3.64/3.88 tff(10469,plain,
% 3.64/3.88 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[9489, 10468, 76, 669, 429, 79])).
% 3.64/3.88 tff(10470,plain,
% 3.64/3.88 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[4892, 10468, 76, 135, 410, 136, 73])).
% 3.64/3.88 tff(10471,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1313, 10470, 10469])).
% 3.64/3.88 tff(10472,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10473,plain,
% 3.64/3.88 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10472, 10452, 135, 10436, 10424, 10309, 10438, 10432])).
% 3.64/3.88 tff(10474,plain,
% 3.64/3.88 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[394, 10473])).
% 3.64/3.88 tff(10475,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10476,plain,
% 3.64/3.88 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10477,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[10476])).
% 3.64/3.88 tff(10478,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[10477, 10475])).
% 3.64/3.88 tff(10479,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(10480,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[10479, 10478])).
% 3.64/3.88 tff(10481,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10480, 91, 10474, 10432, 10466, 10464, 10424, 297])).
% 3.64/3.88 tff(10482,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10483,plain,
% 3.64/3.88 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10482, 297, 316])).
% 3.64/3.88 tff(10484,plain,
% 3.64/3.88 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[563, 10483])).
% 3.64/3.88 tff(10485,plain,
% 3.64/3.88 (~r(s(s(s(s(z)))), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[5940, 411, 544, 270])).
% 3.64/3.88 tff(10486,plain,
% 3.64/3.88 (b(s(s(s(s(z)))), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[314, 10485])).
% 3.64/3.88 tff(10487,plain,
% 3.64/3.88 (~b(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[9115, 7346, 669, 10486])).
% 3.64/3.88 tff(10488,plain,
% 3.64/3.88 (r(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[113, 10487])).
% 3.64/3.88 tff(10489,plain,
% 3.64/3.88 (~r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[511, 10488, 270, 410])).
% 3.64/3.88 tff(10490,plain,
% 3.64/3.88 (b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[163, 10489])).
% 3.64/3.88 tff(10491,plain,
% 3.64/3.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10492,plain,
% 3.64/3.88 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10493,plain,
% 3.64/3.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[10492])).
% 3.64/3.88 tff(10494,plain,
% 3.64/3.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[10493, 10491])).
% 3.64/3.88 tff(10495,plain,
% 3.64/3.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(10496,plain,
% 3.64/3.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[10495, 10494])).
% 3.64/3.88 tff(10497,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10496, 125, 75, 544, 270, 80, 73])).
% 3.64/3.88 tff(10498,plain,((~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10499,plain,
% 3.64/3.88 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10498, 10488, 80, 544, 270])).
% 3.64/3.88 tff(10500,plain,
% 3.64/3.88 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[369, 10499])).
% 3.64/3.88 tff(10501,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[6663, 10500, 10490, 669, 565])).
% 3.64/3.88 tff(10502,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10503,plain,
% 3.64/3.88 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10502, 8726, 10484, 8560, 9647, 10424, 5404])).
% 3.64/3.88 tff(10504,plain,
% 3.64/3.88 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[394, 10503])).
% 3.64/3.88 tff(10505,plain,
% 3.64/3.88 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[6302, 10504, 10424, 10484])).
% 3.64/3.88 tff(10506,plain,
% 3.64/3.88 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[163, 10505])).
% 3.64/3.88 tff(10507,plain,
% 3.64/3.88 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[9865, 10506, 8560, 9647, 8726])).
% 3.64/3.88 tff(10508,plain,
% 3.64/3.88 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[113, 10507])).
% 3.64/3.88 tff(10509,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10510,plain,
% 3.64/3.88 (((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.88 inference(rewrite,[status(thm)],[])).
% 3.64/3.88 tff(10511,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[10510])).
% 3.64/3.88 tff(10512,plain,
% 3.64/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.88 inference(transitivity,[status(thm)],[10511, 10509])).
% 3.64/3.88 tff(10513,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.88 inference(quant_inst,[status(thm)],[])).
% 3.64/3.88 tff(10514,plain,
% 3.64/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 3.64/3.88 tff(10515,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10514, 91, 10504, 10508, 1073, 10424, 9679, 297])).
% 3.64/3.88 tff(10516,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10517,plain,
% 3.64/3.88 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10516, 297, 316])).
% 3.64/3.88 tff(10518,plain,
% 3.64/3.88 (r(z, s(s(s(s(s(s(z)))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1093, 10517])).
% 3.64/3.88 tff(10519,plain,
% 3.64/3.88 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[9825, 9308, 8560, 9647, 10518])).
% 3.64/3.88 tff(10520,plain,
% 3.64/3.88 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[69, 10519])).
% 3.64/3.88 tff(10521,plain,
% 3.64/3.88 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[6663, 176, 669, 565])).
% 3.64/3.88 tff(10522,plain,
% 3.64/3.88 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[369, 10521])).
% 3.64/3.88 tff(10523,plain,
% 3.64/3.88 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10498, 10522, 8560, 544, 270])).
% 3.64/3.88 tff(10524,plain,
% 3.64/3.88 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[113, 10523])).
% 3.64/3.88 tff(10525,plain,
% 3.64/3.88 (~b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[6302, 176, 669, 565])).
% 3.64/3.88 tff(10526,plain,
% 3.64/3.88 (r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[394, 10525])).
% 3.64/3.88 tff(10527,plain,
% 3.64/3.88 (~r(s(s(s(s(s(z))))), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[9839, 10522, 8560, 544, 10526])).
% 3.64/3.88 tff(10528,plain,
% 3.64/3.88 (b(s(s(s(s(s(z))))), z)),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[427, 10527])).
% 3.64/3.88 tff(10529,plain,
% 3.64/3.88 ((s(z) = s(s(s(s(s(z)))))) <=> (s(s(s(s(s(z))))) = s(z))),
% 3.64/3.88 inference(commutativity,[status(thm)],[])).
% 3.64/3.88 tff(10530,plain,
% 3.64/3.88 ((s(s(s(s(s(z))))) = s(z)) <=> (s(z) = s(s(s(s(s(z))))))),
% 3.64/3.88 inference(symmetry,[status(thm)],[10529])).
% 3.64/3.88 tff(10531,plain,
% 3.64/3.88 ((~(s(s(s(s(s(z))))) = s(z))) <=> (~(s(z) = s(s(s(s(s(z)))))))),
% 3.64/3.88 inference(monotonicity,[status(thm)],[10530])).
% 3.64/3.88 tff(10532,plain,
% 3.64/3.88 (~(s(z) = s(s(s(s(s(z))))))),
% 3.64/3.88 inference(modus_ponens,[status(thm)],[154, 10531])).
% 3.64/3.88 tff(10533,plain,
% 3.64/3.88 ((s(z) = s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[161, 64, 7928])).
% 3.64/3.88 tff(10534,plain,
% 3.64/3.88 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10533, 10532])).
% 3.64/3.88 tff(10535,plain,
% 3.64/3.88 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[7921, 91, 76, 565, 79, 669, 72])).
% 3.64/3.88 tff(10536,plain,
% 3.64/3.88 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[542, 10535])).
% 3.64/3.88 tff(10537,plain,
% 3.64/3.88 (~b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[97, 91, 79, 81, 72])).
% 3.64/3.88 tff(10538,plain,
% 3.64/3.88 (r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[394, 10537])).
% 3.64/3.88 tff(10539,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[4880, 125, 10538, 203, 10536, 10534])).
% 3.64/3.88 tff(10540,plain,((~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10541,plain,
% 3.64/3.88 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10540, 10528, 669, 72, 76, 565, 10524])).
% 3.64/3.88 tff(10542,plain,
% 3.64/3.88 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[419, 10528, 316, 10524])).
% 3.64/3.88 tff(10543,plain,
% 3.64/3.88 ($false),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[1313, 10542, 10541])).
% 3.64/3.88 tff(10544,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.88 tff(10545,plain,
% 3.64/3.88 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.88 inference(unit_resolution,[status(thm)],[10544, 72, 10424, 316, 10520, 10484, 9647, 9308])).
% 3.64/3.88 tff(10546,plain,
% 3.64/3.88 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[163, 10545])).
% 3.64/3.89 tff(10547,plain,
% 3.64/3.89 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9865, 10546, 8560, 9647, 9308])).
% 3.64/3.89 tff(10548,plain,
% 3.64/3.89 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[113, 10547])).
% 3.64/3.89 tff(10549,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[5839, 10548, 297, 316, 72, 10520])).
% 3.64/3.89 tff(10550,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[369, 10549])).
% 3.64/3.89 tff(10551,plain,
% 3.64/3.89 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10540, 79, 669, 72, 76, 565, 81])).
% 3.64/3.89 tff(10552,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1313, 9037, 10551])).
% 3.64/3.89 tff(10553,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(10554,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10553, 10548, 316, 10424, 72, 10520, 10484])).
% 3.64/3.89 tff(10555,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[427, 10554])).
% 3.64/3.89 tff(10556,plain,
% 3.64/3.89 (~r(s(s(s(s(z)))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[8976, 10555, 8560, 10550])).
% 3.64/3.89 tff(10557,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[314, 10556])).
% 3.64/3.89 tff(10558,plain,
% 3.64/3.89 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6362, 10520, 297, 10484])).
% 3.64/3.89 tff(10559,plain,
% 3.64/3.89 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[336, 10558])).
% 3.64/3.89 tff(10560,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9853, 10555, 8560, 10559, 10550])).
% 3.64/3.89 tff(10561,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[246, 10560])).
% 3.64/3.89 tff(10562,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10202, 10561, 10557, 72, 10520, 297, 316, 10548])).
% 3.64/3.89 tff(10563,plain,((~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(10564,plain,
% 3.64/3.89 (~b(s(z), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10563, 297, 316])).
% 3.64/3.89 tff(10565,plain,
% 3.64/3.89 (r(s(z), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[408, 10564])).
% 3.64/3.89 tff(10566,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6663, 176, 10424, 10484])).
% 3.64/3.89 tff(10567,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[369, 10566])).
% 3.64/3.89 tff(10568,plain,
% 3.64/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10462, 10567, 10518, 8560, 75])).
% 3.64/3.89 tff(10569,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[336, 10568])).
% 3.64/3.89 tff(10570,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6362, 10569, 297, 10484])).
% 3.64/3.89 tff(10571,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[69, 10570])).
% 3.64/3.89 tff(10572,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6302, 176, 10424, 10484])).
% 3.64/3.89 tff(10573,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[394, 10572])).
% 3.64/3.89 tff(10574,plain,
% 3.64/3.89 (~r(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10502, 10573, 10484, 8560, 9647, 10424, 10565])).
% 3.64/3.89 tff(10575,plain,
% 3.64/3.89 (b(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[267, 10574])).
% 3.64/3.89 tff(10576,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9655, 10575, 316, 297])).
% 3.64/3.89 tff(10577,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[542, 10576])).
% 3.64/3.89 tff(10578,plain,
% 3.64/3.89 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[4243, 10577, 9647, 10567, 10571])).
% 3.64/3.89 tff(10579,plain,
% 3.64/3.89 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1313, 10578])).
% 3.64/3.89 tff(10580,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[501, 10579, 297, 176])).
% 3.64/3.89 tff(10581,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[246, 10580])).
% 3.64/3.89 tff(10582,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6472, 125, 10573, 10571, 9647, 10581, 10567])).
% 3.64/3.89 tff(10583,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(10584,plain,
% 3.64/3.89 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10583, 75, 316, 297])).
% 3.64/3.89 tff(10585,plain,
% 3.64/3.89 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[163, 10584])).
% 3.64/3.89 tff(10586,plain,
% 3.64/3.89 (~r(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9865, 10585, 8560, 9647, 75])).
% 3.64/3.89 tff(10587,plain,
% 3.64/3.89 (b(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[267, 10586])).
% 3.64/3.89 tff(10588,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9655, 10587, 316, 297])).
% 3.64/3.89 tff(10589,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[542, 10588])).
% 3.64/3.89 tff(10590,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[5620, 10585, 75, 10565])).
% 3.64/3.89 tff(10591,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[427, 10590])).
% 3.64/3.89 tff(10592,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10593,plain,
% 3.64/3.89 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10594,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[10593])).
% 3.64/3.89 tff(10595,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[10594, 10592])).
% 3.64/3.89 tff(10596,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(10597,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 3.64/3.89 tff(10598,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10597, 91, 10484, 10591, 10424, 316, 297])).
% 3.64/3.89 tff(10599,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[69, 10598])).
% 3.64/3.89 tff(10600,plain,
% 3.64/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[8622, 10599, 8560, 10518])).
% 3.64/3.89 tff(10601,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[336, 10600])).
% 3.64/3.89 tff(10602,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10603,plain,
% 3.64/3.89 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10604,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[10603])).
% 3.64/3.89 tff(10605,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[10604, 10602])).
% 3.64/3.89 tff(10606,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(10607,plain,
% 3.64/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 3.64/3.89 tff(10608,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10607, 91, 10591, 348, 10601, 10424])).
% 3.64/3.89 tff(10609,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[246, 10608])).
% 3.64/3.89 tff(10610,plain,
% 3.64/3.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10611,plain,
% 3.64/3.89 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10612,plain,
% 3.64/3.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[10611])).
% 3.64/3.89 tff(10613,plain,
% 3.64/3.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.64/3.89 inference(transitivity,[status(thm)],[10612, 10610])).
% 3.64/3.89 tff(10614,plain,
% 3.64/3.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.64/3.89 inference(quant_inst,[status(thm)],[])).
% 3.64/3.89 tff(10615,plain,
% 3.64/3.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.64/3.89 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 3.64/3.89 tff(10616,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10615, 125, 75, 10518, 10599, 8560, 10609])).
% 3.64/3.89 tff(10617,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(10618,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10617, 75, 316, 297])).
% 3.64/3.89 tff(10619,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1313, 10618])).
% 3.64/3.89 tff(10620,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[4882, 10619, 10585, 10589])).
% 3.64/3.89 tff(10621,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[394, 10620])).
% 3.64/3.89 tff(10622,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[224, 10619, 10518, 75])).
% 3.64/3.89 tff(10623,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[246, 10622])).
% 3.64/3.89 tff(10624,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[8766, 10619, 8560, 75, 10518])).
% 3.64/3.89 tff(10625,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[69, 10624])).
% 3.64/3.89 tff(10626,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[4253, 10625, 10623, 297, 9647, 10424, 10484, 10619, 10621])).
% 3.64/3.89 tff(10627,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(10628,plain,
% 3.64/3.89 (~r(z, s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10627, 297, 316])).
% 3.64/3.89 tff(10629,plain,
% 3.64/3.89 (b(z, s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[113, 10628])).
% 3.64/3.89 tff(10630,plain,
% 3.64/3.89 (~r(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10502, 410, 10484, 8560, 9647, 10424, 10565])).
% 3.64/3.89 tff(10631,plain,
% 3.64/3.89 (b(z, s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[267, 10630])).
% 3.64/3.89 tff(10632,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9655, 10631, 316, 297])).
% 3.64/3.89 tff(10633,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[542, 10632])).
% 3.64/3.89 tff(10634,plain,
% 3.64/3.89 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[8622, 347, 8560, 215])).
% 3.64/3.89 tff(10635,plain,
% 3.64/3.89 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[69, 10634])).
% 3.64/3.89 tff(10636,plain,
% 3.64/3.89 (~r(s(s(s(s(z)))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1060, 347, 544, 215, 411])).
% 3.64/3.89 tff(10637,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[314, 10636])).
% 3.64/3.89 tff(10638,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9115, 10637, 669, 81])).
% 3.64/3.89 tff(10639,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[427, 10638])).
% 3.64/3.89 tff(10640,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9839, 10639, 8560, 544, 410])).
% 3.64/3.89 tff(10641,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[369, 10640])).
% 3.64/3.89 tff(10642,plain,
% 3.64/3.89 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9268, 10637, 669, 10635, 429, 316])).
% 3.64/3.89 tff(10643,plain,
% 3.64/3.89 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[163, 10642])).
% 3.64/3.89 tff(10644,plain,
% 3.64/3.89 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[4882, 10643, 410, 545])).
% 3.64/3.89 tff(10645,plain,
% 3.64/3.89 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1313, 10644])).
% 3.64/3.89 tff(10646,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6871, 10645, 10641, 669, 10635])).
% 3.64/3.89 tff(10647,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(10648,plain,
% 3.64/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10647, 410, 10424, 10633, 9647, 10631, 316, 10629, 10518, 10565])).
% 3.64/3.89 tff(10649,plain,
% 3.64/3.89 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[336, 10648])).
% 3.64/3.89 tff(10650,plain,
% 3.64/3.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6362, 10649, 297, 10484])).
% 3.64/3.89 tff(10651,plain,
% 3.64/3.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[69, 10650])).
% 3.64/3.89 tff(10652,plain,
% 3.64/3.89 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6665, 10651, 9647, 10484, 410, 10424, 10633])).
% 3.64/3.89 tff(10653,plain,
% 3.64/3.89 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[1313, 10652])).
% 3.64/3.89 tff(10654,plain,
% 3.64/3.89 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[419, 10653, 316, 10629])).
% 3.64/3.89 tff(10655,plain,
% 3.64/3.89 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[427, 10654])).
% 3.64/3.89 tff(10656,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[9839, 10655, 8560, 9647, 410])).
% 3.64/3.89 tff(10657,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[369, 10656])).
% 3.64/3.89 tff(10658,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[5260, 10655, 10518, 10565, 410])).
% 3.64/3.89 tff(10659,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[246, 10658])).
% 3.64/3.89 tff(10660,plain,
% 3.64/3.89 ($false),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[5050, 10659, 10657, 10653, 10649])).
% 3.64/3.89 tff(10661,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.89 tff(10662,plain,
% 3.64/3.89 (~r(s(s(s(s(s(z))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[10661, 297, 316])).
% 3.64/3.89 tff(10663,plain,
% 3.64/3.89 (b(s(s(s(s(s(z))))), s(z))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[394, 10662])).
% 3.64/3.89 tff(10664,plain,
% 3.64/3.89 (~b(s(z), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[6302, 10663, 10424, 10484])).
% 3.64/3.89 tff(10665,plain,
% 3.64/3.89 (r(s(z), s(s(s(s(s(z))))))),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[163, 10664])).
% 3.64/3.89 tff(10666,plain,
% 3.64/3.89 (~b(s(z), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[99, 79, 77, 81])).
% 3.64/3.89 tff(10667,plain,
% 3.64/3.89 (r(s(z), z)),
% 3.64/3.89 inference(unit_resolution,[status(thm)],[408, 10666])).
% 3.64/3.89 tff(10668,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10669,plain,
% 3.64/3.89 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.89 inference(rewrite,[status(thm)],[])).
% 3.64/3.89 tff(10670,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z))))),
% 3.64/3.89 inference(monotonicity,[status(thm)],[10669])).
% 3.64/3.89 tff(10671,plain,
% 3.64/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.64/3.90 inference(transitivity,[status(thm)],[10670, 10668])).
% 3.64/3.90 tff(10672,plain,
% 3.64/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.64/3.90 inference(quant_inst,[status(thm)],[])).
% 3.64/3.90 tff(10673,plain,
% 3.64/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z))),
% 3.64/3.90 inference(modus_ponens,[status(thm)],[10672, 10671])).
% 3.64/3.90 tff(10674,plain,
% 3.64/3.90 ($false),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[10673, 91, 77, 79, 81, 669, 74])).
% 3.64/3.90 tff(10675,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.90 tff(10676,plain,
% 3.64/3.90 (~b(s(s(s(s(z)))), z)),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[10675, 79, 77, 81, 669])).
% 3.64/3.90 tff(10677,plain,
% 3.64/3.90 (r(s(s(s(s(z)))), z)),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[314, 10676])).
% 3.64/3.90 tff(10678,plain,
% 3.64/3.90 (~r(s(s(s(s(z)))), s(z))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[5940, 10677, 270, 10667])).
% 3.64/3.90 tff(10679,plain,
% 3.64/3.90 (b(s(s(s(s(z)))), s(z))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[201, 10678])).
% 3.64/3.90 tff(10680,plain,
% 3.64/3.90 (~r(s(z), s(s(s(s(z)))))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[9068, 10677, 10667, 80])).
% 3.64/3.90 tff(10681,plain,
% 3.64/3.90 (b(s(z), s(s(s(s(z)))))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[563, 10680])).
% 3.64/3.90 tff(10682,plain,
% 3.64/3.90 ($false),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[4393, 91, 77, 10681, 669, 10679])).
% 3.64/3.90 tff(10683,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.90 tff(10684,plain,
% 3.64/3.90 (~r(z, s(z))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[10683, 79, 80, 669, 81, 77])).
% 3.64/3.90 tff(10685,plain,
% 3.64/3.90 (~b(z, s(z))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[7526, 79, 81, 77, 565, 669])).
% 3.64/3.90 tff(10686,plain,
% 3.64/3.90 ($false),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[267, 10685, 10684])).
% 3.64/3.90 tff(10687,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.90 tff(10688,plain,
% 3.64/3.90 (~b(s(s(s(s(s(z))))), z)),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[10687, 10663, 8560, 10424, 10484, 10629])).
% 3.64/3.90 tff(10689,plain,
% 3.64/3.90 (r(s(s(s(s(s(z))))), z)),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[427, 10688])).
% 3.64/3.90 tff(10690,plain,
% 3.64/3.90 ($false),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[4251, 91, 77, 565, 669, 349])).
% 3.64/3.90 tff(10691,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.64/3.90 tff(10692,plain,
% 3.64/3.90 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[10691, 10663, 10484, 10424])).
% 3.64/3.90 tff(10693,plain,
% 3.64/3.90 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.64/3.90 inference(unit_resolution,[status(thm)],[369, 10692])).
% 3.64/3.90 tff(10694,plain,
% 3.74/3.90 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[9511, 91, 10484, 10629, 10424, 316, 297])).
% 3.74/3.90 tff(10695,plain,
% 3.74/3.90 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[336, 10694])).
% 3.74/3.90 tff(10696,plain,
% 3.74/3.90 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[9853, 10695, 8560, 10693, 10689])).
% 3.74/3.90 tff(10697,plain,
% 3.74/3.90 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[246, 10696])).
% 3.74/3.90 tff(10698,plain,
% 3.74/3.90 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[4012, 10697, 297, 10663])).
% 3.74/3.90 tff(10699,plain,
% 3.74/3.90 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[542, 10698])).
% 3.74/3.90 tff(10700,plain,
% 3.74/3.90 (~r(s(s(s(s(z)))), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[8976, 73, 80, 71])).
% 3.74/3.90 tff(10701,plain,
% 3.74/3.90 (b(s(s(s(s(z)))), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[314, 10700])).
% 3.74/3.90 tff(10702,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10703,plain,
% 3.74/3.90 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10704,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[10703])).
% 3.74/3.90 tff(10705,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[10704, 10702])).
% 3.74/3.90 tff(10706,plain,
% 3.74/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(10707,plain,
% 3.74/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 3.74/3.90 tff(10708,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10707, 125, 3102, 71, 80, 73, 4830])).
% 3.74/3.90 tff(10709,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(10710,plain,
% 3.74/3.90 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10709, 4830, 71, 80, 73])).
% 3.74/3.90 tff(10711,plain,
% 3.74/3.90 (b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[938, 10710])).
% 3.74/3.90 tff(10712,plain,
% 3.74/3.90 (~b(s(s(z)), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10246, 10711, 3382, 10701])).
% 3.74/3.90 tff(10713,plain,
% 3.74/3.90 (r(s(s(z)), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[898, 10712])).
% 3.74/3.90 tff(10714,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10715,plain,
% 3.74/3.90 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10716,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[10715])).
% 3.74/3.90 tff(10717,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[10716, 10714])).
% 3.74/3.90 tff(10718,plain,
% 3.74/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(10719,plain,
% 3.74/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[10718, 10717])).
% 3.74/3.90 tff(10720,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10719, 125, 71, 10713, 80, 73, 4830])).
% 3.74/3.90 tff(10721,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(10722,plain,
% 3.74/3.90 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10721, 3382, 8560, 73, 71])).
% 3.74/3.90 tff(10723,plain,
% 3.74/3.90 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[5101, 10722])).
% 3.74/3.90 tff(10724,plain,
% 3.74/3.90 (~b(s(z), s(s(z)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[9783, 3451, 77, 4841])).
% 3.74/3.90 tff(10725,plain,
% 3.74/3.90 (r(s(z), s(s(z)))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[1004, 10724])).
% 3.74/3.90 tff(10726,plain,
% 3.74/3.90 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10343, 10725, 71, 411, 136])).
% 3.74/3.90 tff(10727,plain,
% 3.74/3.90 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[5666, 10726])).
% 3.74/3.90 tff(10728,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10729,plain,
% 3.74/3.90 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10730,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[10729])).
% 3.74/3.90 tff(10731,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[10730, 10728])).
% 3.74/3.90 tff(10732,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(10733,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[10732, 10731])).
% 3.74/3.90 tff(10734,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10733, 91, 3382, 81, 10727, 3451, 4841])).
% 3.74/3.90 tff(10735,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(10736,plain,
% 3.74/3.90 (~b(s(s(z)), s(z))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10735, 10723, 81, 3382, 71, 411, 136, 77])).
% 3.74/3.90 tff(10737,plain,
% 3.74/3.90 (r(s(s(z)), s(z))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[857, 10736])).
% 3.74/3.90 tff(10738,plain,
% 3.74/3.90 (~r(s(s(s(s(z)))), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[8976, 73, 8560, 71])).
% 3.74/3.90 tff(10739,plain,
% 3.74/3.90 (b(s(s(s(s(z)))), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[314, 10738])).
% 3.74/3.90 tff(10740,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), 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(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), 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(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10741,plain,
% 3.74/3.90 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), 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(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10742,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), 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(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[10741])).
% 3.74/3.90 tff(10743,plain,
% 3.74/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), 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(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[10742, 10740])).
% 3.74/3.90 tff(10744,plain,
% 3.74/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(10745,plain,
% 3.74/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), 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(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 3.74/3.90 tff(10746,plain,
% 3.74/3.90 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10745, 125, 347, 545, 2446, 4539])).
% 3.74/3.90 tff(10747,plain,
% 3.74/3.90 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[5705, 10746])).
% 3.74/3.90 tff(10748,plain,
% 3.74/3.90 (~r(s(s(z)), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10262, 125, 544, 8560, 2446, 4539])).
% 3.74/3.90 tff(10749,plain,
% 3.74/3.90 (b(s(s(z)), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[898, 10748])).
% 3.74/3.90 tff(10750,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10751,plain,
% 3.74/3.90 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.90 inference(rewrite,[status(thm)],[])).
% 3.74/3.90 tff(10752,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.74/3.90 inference(monotonicity,[status(thm)],[10751])).
% 3.74/3.90 tff(10753,plain,
% 3.74/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.90 inference(transitivity,[status(thm)],[10752, 10750])).
% 3.74/3.90 tff(10754,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.90 inference(quant_inst,[status(thm)],[])).
% 3.74/3.90 tff(10755,plain,
% 3.74/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.74/3.90 inference(modus_ponens,[status(thm)],[10754, 10753])).
% 3.74/3.90 tff(10756,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10755, 91, 3382, 10749, 10747, 316])).
% 3.74/3.90 tff(10757,plain,((~r(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(10758,plain,
% 3.74/3.90 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10757, 10737, 316, 347, 545, 3382, 544])).
% 3.74/3.90 tff(10759,plain,
% 3.74/3.90 (b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[4476, 10758])).
% 3.74/3.90 tff(10760,plain,
% 3.74/3.90 (~b(s(s(z)), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[9559, 10759, 3382, 10739])).
% 3.74/3.90 tff(10761,plain,
% 3.74/3.90 (r(s(s(z)), z)),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[898, 10760])).
% 3.74/3.90 tff(10762,plain,
% 3.74/3.90 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[8133, 125, 71, 10761, 136, 10737])).
% 3.74/3.90 tff(10763,plain,
% 3.74/3.90 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[5666, 10762])).
% 3.74/3.90 tff(10764,plain,
% 3.74/3.90 ($false),
% 3.74/3.90 inference(unit_resolution,[status(thm)],[10368, 91, 3382, 10759, 81, 10763, 10723])).
% 3.74/3.90 tff(10765,plain,((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.90 tff(10766,plain,
% 3.74/3.90 (~b(z, s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10765, 10629, 10689, 10665, 316, 10695, 10699, 9647, 10565, 10663, 10693])).
% 3.74/3.91 tff(10767,plain,
% 3.74/3.91 (r(z, s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[3400, 10766])).
% 3.74/3.91 tff(10768,plain,
% 3.74/3.91 (~r(s(z), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10113, 10767, 10565, 10689, 10665])).
% 3.74/3.91 tff(10769,plain,
% 3.74/3.91 (b(s(z), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1004, 10768])).
% 3.74/3.91 tff(10770,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(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)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(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)))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10771,plain,
% 3.74/3.91 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~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(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)))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10772,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(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)))), s(s(s(s(s(s(z))))))))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[10771])).
% 3.74/3.91 tff(10773,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(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)))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[10772, 10770])).
% 3.74/3.91 tff(10774,plain,
% 3.74/3.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(10775,plain,
% 3.74/3.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[10774, 10773])).
% 3.74/3.91 tff(10776,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10775, 125, 3403, 215, 80, 347, 4539])).
% 3.74/3.91 tff(10777,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(10778,plain,
% 3.74/3.91 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10777, 10767, 10518, 8560, 10695])).
% 3.74/3.91 tff(10779,plain,
% 3.74/3.91 (b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[4476, 10778])).
% 3.74/3.91 tff(10780,plain,
% 3.74/3.91 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10412, 923, 565, 4925, 4456])).
% 3.74/3.91 tff(10781,plain,
% 3.74/3.91 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[5666, 10780])).
% 3.74/3.91 tff(10782,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10783,plain,
% 3.74/3.91 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(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(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10784,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[10783])).
% 3.74/3.91 tff(10785,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[10784, 10782])).
% 3.74/3.91 tff(10786,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(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)))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(10787,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 3.74/3.91 tff(10788,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10787, 91, 924, 4456, 565, 923, 4925])).
% 3.74/3.91 tff(10789,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(10790,plain,
% 3.74/3.91 (~b(s(s(z)), z)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10789, 923, 565, 4925, 4456])).
% 3.74/3.91 tff(10791,plain,
% 3.74/3.91 (r(s(s(z)), z)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[898, 10790])).
% 3.74/3.91 tff(10792,plain,
% 3.74/3.91 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[8115, 10791, 71, 3403])).
% 3.74/3.91 tff(10793,plain,
% 3.74/3.91 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[5101, 10792])).
% 3.74/3.91 tff(10794,plain,
% 3.74/3.91 (~b(s(s(z)), s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[9783, 10793, 77, 4925])).
% 3.74/3.91 tff(10795,plain,
% 3.74/3.91 (r(s(s(z)), s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[857, 10794])).
% 3.74/3.91 tff(10796,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[8133, 125, 71, 10791, 136, 10795, 10781])).
% 3.74/3.91 tff(10797,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(10798,plain,
% 3.74/3.91 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10797, 10779, 10665, 10663, 10689, 10767, 10484, 10769])).
% 3.74/3.91 tff(10799,plain,
% 3.74/3.91 (r(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[938, 10798])).
% 3.74/3.91 tff(10800,plain,
% 3.74/3.91 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10709, 10799, 10689, 8560, 10693])).
% 3.74/3.91 tff(10801,plain,
% 3.74/3.91 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[5101, 10800])).
% 3.74/3.91 tff(10802,plain,
% 3.74/3.91 (~b(s(s(z)), s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[9783, 10801, 10663, 10769])).
% 3.74/3.91 tff(10803,plain,
% 3.74/3.91 (r(s(s(z)), s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[857, 10802])).
% 3.74/3.91 tff(10804,plain,
% 3.74/3.91 (~r(s(s(s(s(z)))), z)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[8976, 10693, 8560, 10689])).
% 3.74/3.91 tff(10805,plain,
% 3.74/3.91 (b(s(s(s(s(z)))), z)),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[314, 10804])).
% 3.74/3.91 tff(10806,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[8912, 10779, 10769, 10805, 316, 297])).
% 3.74/3.91 tff(10807,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[3164, 10806])).
% 3.74/3.91 tff(10808,plain,
% 3.74/3.91 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[8622, 10695, 8560, 10518])).
% 3.74/3.91 tff(10809,plain,
% 3.74/3.91 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[69, 10808])).
% 3.74/3.91 tff(10810,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10811,plain,
% 3.74/3.91 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10812,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[10811])).
% 3.74/3.91 tff(10813,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[10812, 10810])).
% 3.74/3.91 tff(10814,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(10815,plain,
% 3.74/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 3.74/3.91 tff(10816,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10815, 91, 76, 348, 669, 298])).
% 3.74/3.91 tff(10817,plain,((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(10818,plain,
% 3.74/3.91 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10817, 10697, 10424, 10809])).
% 3.74/3.91 tff(10819,plain,
% 3.74/3.91 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[1313, 10818])).
% 3.74/3.91 tff(10820,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10821,plain,
% 3.74/3.91 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10822,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), 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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[10821])).
% 3.74/3.91 tff(10823,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), 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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[10822, 10820])).
% 3.74/3.91 tff(10824,plain,
% 3.74/3.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(10825,plain,
% 3.74/3.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[10824, 10823])).
% 3.74/3.91 tff(10826,plain,
% 3.74/3.91 ($false),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10825, 125, 10819, 10807, 10699, 10665, 10803])).
% 3.74/3.91 tff(10827,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.91 tff(10828,plain,
% 3.74/3.91 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10827, 316])).
% 3.74/3.91 tff(10829,plain,
% 3.74/3.91 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[295, 10828])).
% 3.74/3.91 tff(10830,plain,
% 3.74/3.91 (~r(z, s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[9665, 544, 80, 135])).
% 3.74/3.91 tff(10831,plain,
% 3.74/3.91 (b(z, s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[267, 10830])).
% 3.74/3.91 tff(10832,plain,
% 3.74/3.91 (((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.91 inference(rewrite,[status(thm)],[])).
% 3.74/3.91 tff(10833,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.74/3.91 inference(monotonicity,[status(thm)],[10832])).
% 3.74/3.91 tff(10834,plain,
% 3.74/3.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.91 inference(transitivity,[status(thm)],[10833, 9658])).
% 3.74/3.91 tff(10835,plain,
% 3.74/3.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))),
% 3.74/3.91 inference(quant_inst,[status(thm)],[])).
% 3.74/3.91 tff(10836,plain,
% 3.74/3.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.74/3.91 inference(modus_ponens,[status(thm)],[10835, 10834])).
% 3.74/3.91 tff(10837,plain,
% 3.74/3.91 (~r(z, s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[10836, 125, 544, 135, 80])).
% 3.74/3.91 tff(10838,plain,
% 3.74/3.91 (b(z, s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[267, 10837])).
% 3.74/3.91 tff(10839,plain,
% 3.74/3.91 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[736, 125, 544, 135, 73])).
% 3.74/3.91 tff(10840,plain,
% 3.74/3.91 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.91 inference(unit_resolution,[status(thm)],[394, 10839])).
% 3.74/3.91 tff(10841,plain,
% 3.74/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10842,plain,
% 3.74/3.92 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10843,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[10842])).
% 3.74/3.92 tff(10844,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.92 inference(transitivity,[status(thm)],[10843, 10841])).
% 3.74/3.92 tff(10845,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(10846,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[10845, 10844])).
% 3.74/3.92 tff(10847,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10846, 91, 10840, 79, 10838, 72])).
% 3.74/3.92 tff(10848,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10849,plain,
% 3.74/3.92 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10848, 72, 79, 135, 73, 80])).
% 3.74/3.92 tff(10850,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[201, 10849])).
% 3.74/3.92 tff(10851,plain,
% 3.74/3.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10852,plain,
% 3.74/3.92 (((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10853,plain,
% 3.74/3.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[10852])).
% 3.74/3.92 tff(10854,plain,
% 3.74/3.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[10853, 10851])).
% 3.74/3.92 tff(10855,plain,
% 3.74/3.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(10856,plain,
% 3.74/3.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 3.74/3.92 tff(10857,plain,
% 3.74/3.92 (~r(z, s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10856, 125, 410, 135, 270, 80])).
% 3.74/3.92 tff(10858,plain,
% 3.74/3.92 (b(z, s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[113, 10857])).
% 3.74/3.92 tff(10859,plain,
% 3.74/3.92 (~b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[6326, 91, 79, 10858, 72])).
% 3.74/3.92 tff(10860,plain,
% 3.74/3.92 (r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[161, 64, 10859, 156])).
% 3.74/3.92 tff(10861,plain,
% 3.74/3.92 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[4892, 10860, 10850, 135, 73, 76, 410])).
% 3.74/3.92 tff(10862,plain,
% 3.74/3.92 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1313, 10861])).
% 3.74/3.92 tff(10863,plain,
% 3.74/3.92 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1081, 10862, 10858, 79])).
% 3.74/3.92 tff(10864,plain,
% 3.74/3.92 (r(z, s(s(s(s(s(s(z)))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1093, 10863])).
% 3.74/3.92 tff(10865,plain,
% 3.74/3.92 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[8588, 10864, 135, 80, 270])).
% 3.74/3.92 tff(10866,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[336, 10865])).
% 3.74/3.92 tff(10867,plain,
% 3.74/3.92 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[6969, 91, 10858, 10862, 10866, 10850, 72])).
% 3.74/3.92 tff(10868,plain,
% 3.74/3.92 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[542, 10867])).
% 3.74/3.92 tff(10869,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[8596, 125, 10864, 135, 270, 80, 10868])).
% 3.74/3.92 tff(10870,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10871,plain,
% 3.74/3.92 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10870, 270, 135, 80, 72, 79, 73, 76])).
% 3.74/3.92 tff(10872,plain,
% 3.74/3.92 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[394, 10871])).
% 3.74/3.92 tff(10873,plain,
% 3.74/3.92 (~r(z, s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[9131, 10872, 73, 80, 10850, 270])).
% 3.74/3.92 tff(10874,plain,
% 3.74/3.92 (b(z, s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[113, 10873])).
% 3.74/3.92 tff(10875,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[97, 91, 10872, 79, 10874, 72])).
% 3.74/3.92 tff(10876,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10877,plain,
% 3.74/3.92 (~r(z, s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10876, 72, 79, 73, 80, 135, 76])).
% 3.74/3.92 tff(10878,plain,
% 3.74/3.92 (b(z, s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[267, 10877])).
% 3.74/3.92 tff(10879,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10880,plain,
% 3.74/3.92 (((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10881,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[10880])).
% 3.74/3.92 tff(10882,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.74/3.92 inference(transitivity,[status(thm)],[10881, 10879])).
% 3.74/3.92 tff(10883,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(10884,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[10883, 10882])).
% 3.74/3.92 tff(10885,plain,
% 3.74/3.92 (~b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10884, 91, 79, 10878, 72])).
% 3.74/3.92 tff(10886,plain,
% 3.74/3.92 (r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[161, 64, 10885, 156])).
% 3.74/3.92 tff(10887,plain,
% 3.74/3.92 (~b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10846, 91, 79, 10878, 72])).
% 3.74/3.92 tff(10888,plain,
% 3.74/3.92 (r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[394, 10887])).
% 3.74/3.92 tff(10889,plain,
% 3.74/3.92 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[4892, 10886, 10850, 135, 73, 76, 10888])).
% 3.74/3.92 tff(10890,plain,
% 3.74/3.92 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1313, 10889])).
% 3.74/3.92 tff(10891,plain,
% 3.74/3.92 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[9487, 91, 76, 79, 10878, 10890, 10850])).
% 3.74/3.92 tff(10892,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[689, 10891])).
% 3.74/3.92 tff(10893,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[142, 125, 135, 73, 10892, 10886])).
% 3.74/3.92 tff(10894,plain,((~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(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(z))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10895,plain,
% 3.74/3.92 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10894, 79, 76, 72, 73, 80])).
% 3.74/3.92 tff(10896,plain,
% 3.74/3.92 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[563, 10895])).
% 3.74/3.92 tff(10897,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[6613, 125, 765, 215, 71, 216])).
% 3.74/3.92 tff(10898,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10899,plain,
% 3.74/3.92 (~r(s(s(s(s(s(z))))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10898, 216, 765, 215])).
% 3.74/3.92 tff(10900,plain,
% 3.74/3.92 (b(s(s(s(s(s(z))))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[427, 10899])).
% 3.74/3.92 tff(10901,plain,
% 3.74/3.92 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10450, 74, 669, 79, 76, 215, 80])).
% 3.74/3.92 tff(10902,plain,
% 3.74/3.92 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[369, 10901])).
% 3.74/3.92 tff(10903,plain,
% 3.74/3.92 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10894, 10902, 76, 72, 79, 80])).
% 3.74/3.92 tff(10904,plain,
% 3.74/3.92 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[563, 10903])).
% 3.74/3.92 tff(10905,plain,
% 3.74/3.92 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[7567, 410, 216, 73, 269])).
% 3.74/3.92 tff(10906,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[201, 10905])).
% 3.74/3.92 tff(10907,plain,
% 3.74/3.92 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[7939, 10906, 565, 76])).
% 3.74/3.92 tff(10908,plain,
% 3.74/3.92 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[542, 10907])).
% 3.74/3.92 tff(10909,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[6786, 125, 410, 216, 10908, 269])).
% 3.74/3.92 tff(10910,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10911,plain,
% 3.74/3.92 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10910, 10904, 269, 216, 76, 10902])).
% 3.74/3.92 tff(10912,plain,
% 3.74/3.92 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[394, 10911])).
% 3.74/3.92 tff(10913,plain,
% 3.74/3.92 (~b(z, s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10687, 10912, 669, 79, 10904, 80])).
% 3.74/3.92 tff(10914,plain,
% 3.74/3.92 (r(z, s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[113, 10913])).
% 3.74/3.92 tff(10915,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10916,plain,
% 3.74/3.92 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10917,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[10916])).
% 3.74/3.92 tff(10918,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 3.74/3.92 inference(transitivity,[status(thm)],[10917, 10915])).
% 3.74/3.92 tff(10919,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(10920,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[10919, 10918])).
% 3.74/3.92 tff(10921,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10920, 91, 77, 76, 348, 669, 74, 72])).
% 3.74/3.92 tff(10922,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10923,plain,
% 3.74/3.92 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10922, 10912, 76, 72, 669, 74])).
% 3.74/3.92 tff(10924,plain,
% 3.74/3.92 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1313, 10923])).
% 3.74/3.92 tff(10925,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[8766, 10924, 10914, 76, 215, 80])).
% 3.74/3.92 tff(10926,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.92 tff(10927,plain,
% 3.74/3.92 (~b(s(s(s(s(z)))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10926, 10900, 215, 80, 72, 669, 76, 269, 216])).
% 3.74/3.92 tff(10928,plain,
% 3.74/3.92 (r(s(s(s(s(z)))), z)),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[314, 10927])).
% 3.74/3.92 tff(10929,plain,
% 3.74/3.92 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[1028, 10928, 765, 215])).
% 3.74/3.92 tff(10930,plain,
% 3.74/3.92 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[336, 10929])).
% 3.74/3.92 tff(10931,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10932,plain,
% 3.74/3.92 (((~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(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.92 inference(rewrite,[status(thm)],[])).
% 3.74/3.92 tff(10933,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.74/3.92 inference(monotonicity,[status(thm)],[10932])).
% 3.74/3.92 tff(10934,plain,
% 3.74/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.92 inference(transitivity,[status(thm)],[10933, 10931])).
% 3.74/3.92 tff(10935,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.74/3.92 inference(quant_inst,[status(thm)],[])).
% 3.74/3.92 tff(10936,plain,
% 3.74/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/3.92 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 3.74/3.92 tff(10937,plain,
% 3.74/3.92 ($false),
% 3.74/3.92 inference(unit_resolution,[status(thm)],[10936, 91, 76, 348, 318, 669, 349])).
% 3.74/3.92 tff(10938,plain,((~b(s(s(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(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(10939,plain,
% 3.74/3.93 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10938, 348, 76, 669, 318])).
% 3.74/3.93 tff(10940,plain,
% 3.74/3.93 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[369, 10939])).
% 3.74/3.93 tff(10941,plain,
% 3.74/3.93 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10894, 10940, 76, 72, 79, 80])).
% 3.74/3.93 tff(10942,plain,
% 3.74/3.93 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[563, 10941])).
% 3.74/3.93 tff(10943,plain,
% 3.74/3.93 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10910, 10942, 269, 216, 76, 10940])).
% 3.74/3.93 tff(10944,plain,
% 3.74/3.93 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[394, 10943])).
% 3.74/3.93 tff(10945,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(10946,plain,
% 3.74/3.93 (((~b(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(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(10947,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[10946])).
% 3.74/3.93 tff(10948,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[10947, 10945])).
% 3.74/3.93 tff(10949,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(10950,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[10949, 10948])).
% 3.74/3.93 tff(10951,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10950, 91, 10944, 76, 10942, 348, 318, 669])).
% 3.74/3.93 tff(10952,plain,((~b(s(s(s(s(s(s(z)))))), s(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(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(10953,plain,
% 3.74/3.93 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10952, 10930, 76, 669, 269, 216, 72, 10900, 80])).
% 3.74/3.93 tff(10954,plain,
% 3.74/3.93 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1313, 10953])).
% 3.74/3.93 tff(10955,plain,
% 3.74/3.93 (~r(z, s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[8766, 10954, 76, 215, 80])).
% 3.74/3.93 tff(10956,plain,
% 3.74/3.93 (b(z, s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[113, 10955])).
% 3.74/3.93 tff(10957,plain,
% 3.74/3.93 (~b(s(z), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10540, 10956, 76, 72, 669, 10954, 10900])).
% 3.74/3.93 tff(10958,plain,
% 3.74/3.93 (r(s(z), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[563, 10957])).
% 3.74/3.93 tff(10959,plain,
% 3.74/3.93 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10894, 10958, 76, 72, 10900, 80])).
% 3.74/3.93 tff(10960,plain,
% 3.74/3.93 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[369, 10959])).
% 3.74/3.93 tff(10961,plain,
% 3.74/3.93 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[7805, 10954, 216, 269])).
% 3.74/3.93 tff(10962,plain,
% 3.74/3.93 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[163, 10961])).
% 3.74/3.93 tff(10963,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(10964,plain,
% 3.74/3.93 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(10965,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[10964])).
% 3.74/3.93 tff(10966,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.93 inference(transitivity,[status(thm)],[10965, 10963])).
% 3.74/3.93 tff(10967,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(10968,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 3.74/3.93 tff(10969,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10968, 91, 10956, 10962, 669, 72, 10960])).
% 3.74/3.93 tff(10970,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(10971,plain,
% 3.74/3.93 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10970, 215, 72, 269, 76, 80, 669, 765])).
% 3.74/3.93 tff(10972,plain,
% 3.74/3.93 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[246, 10971])).
% 3.74/3.93 tff(10973,plain,
% 3.74/3.93 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[6057, 10972, 76, 669])).
% 3.74/3.93 tff(10974,plain,
% 3.74/3.93 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[336, 10973])).
% 3.74/3.93 tff(10975,plain,
% 3.74/3.93 (~r(s(s(s(s(z)))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1028, 10974, 765, 215])).
% 3.74/3.93 tff(10976,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[314, 10975])).
% 3.74/3.93 tff(10977,plain,
% 3.74/3.93 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10817, 10972, 669, 76])).
% 3.74/3.93 tff(10978,plain,
% 3.74/3.93 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[1313, 10977])).
% 3.74/3.93 tff(10979,plain,
% 3.74/3.93 (~r(z, s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[8766, 10978, 76, 215, 80])).
% 3.74/3.93 tff(10980,plain,
% 3.74/3.93 (b(z, s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[113, 10979])).
% 3.74/3.93 tff(10981,plain,
% 3.74/3.93 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[6126, 10972, 669, 76])).
% 3.74/3.93 tff(10982,plain,
% 3.74/3.93 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[369, 10981])).
% 3.74/3.93 tff(10983,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(10984,plain,
% 3.74/3.93 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(10985,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[10984])).
% 3.74/3.93 tff(10986,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.93 inference(transitivity,[status(thm)],[10985, 10983])).
% 3.74/3.93 tff(10987,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(10988,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[10987, 10986])).
% 3.74/3.93 tff(10989,plain,
% 3.74/3.93 (~b(s(s(s(s(s(z))))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10988, 91, 10980, 669, 10976, 10972])).
% 3.74/3.93 tff(10990,plain,
% 3.74/3.93 (r(s(s(s(s(s(z))))), z)),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[427, 10989])).
% 3.74/3.93 tff(10991,plain,
% 3.74/3.93 (~b(s(s(s(s(z)))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[8578, 429, 72, 74])).
% 3.74/3.93 tff(10992,plain,
% 3.74/3.93 (r(s(s(s(s(z)))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[201, 10991])).
% 3.74/3.93 tff(10993,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[9839, 8010, 10992, 71, 80, 73])).
% 3.74/3.93 tff(10994,plain,((~b(z, s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(10995,plain,
% 3.74/3.93 (~b(z, s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[10994, 10990, 80, 10982, 10980, 72, 10976])).
% 3.74/3.93 tff(10996,plain,
% 3.74/3.93 (r(z, s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[267, 10995])).
% 3.74/3.93 tff(10997,plain,
% 3.74/3.93 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[8588, 10996, 80, 10974, 215])).
% 3.74/3.93 tff(10998,plain,
% 3.74/3.93 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[563, 10997])).
% 3.74/3.93 tff(10999,plain,
% 3.74/3.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(11000,plain,
% 3.74/3.93 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(11001,plain,
% 3.74/3.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[11000])).
% 3.74/3.93 tff(11002,plain,
% 3.74/3.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[11001, 10999])).
% 3.74/3.93 tff(11003,plain,
% 3.74/3.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(11004,plain,
% 3.74/3.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 3.74/3.93 tff(11005,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[11004, 125, 215, 544, 270, 80, 269])).
% 3.74/3.93 tff(11006,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(11007,plain,
% 3.74/3.93 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[11006, 10996, 269, 80, 215])).
% 3.74/3.93 tff(11008,plain,
% 3.74/3.93 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[201, 11007])).
% 3.74/3.93 tff(11009,plain,
% 3.74/3.93 (~b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[4395, 11008, 669, 10998])).
% 3.74/3.93 tff(11010,plain,
% 3.74/3.93 (r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[394, 11009])).
% 3.74/3.93 tff(11011,plain,
% 3.74/3.93 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[6861, 11008, 76, 72, 669, 10980])).
% 3.74/3.93 tff(11012,plain,
% 3.74/3.93 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[542, 11011])).
% 3.74/3.93 tff(11013,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(11014,plain,
% 3.74/3.93 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.74/3.93 inference(rewrite,[status(thm)],[])).
% 3.74/3.93 tff(11015,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.74/3.93 inference(monotonicity,[status(thm)],[11014])).
% 3.74/3.93 tff(11016,plain,
% 3.74/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.74/3.93 inference(transitivity,[status(thm)],[11015, 11013])).
% 3.74/3.93 tff(11017,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.74/3.93 inference(quant_inst,[status(thm)],[])).
% 3.74/3.93 tff(11018,plain,
% 3.74/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.74/3.93 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 3.74/3.93 tff(11019,plain,
% 3.74/3.93 ($false),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[11018, 91, 76, 565, 176, 669, 177, 298])).
% 3.74/3.93 tff(11020,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.93 tff(11021,plain,
% 3.74/3.93 (~b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[11020, 10998, 669, 76, 11008, 10972])).
% 3.74/3.93 tff(11022,plain,
% 3.74/3.93 (r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.93 inference(unit_resolution,[status(thm)],[163, 11021])).
% 3.74/3.94 tff(11023,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4882, 11022, 11012, 10978, 11010])).
% 3.74/3.94 tff(11024,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11025,plain,
% 3.74/3.94 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11024, 669, 76, 72, 80, 269, 765])).
% 3.74/3.94 tff(11026,plain,
% 3.74/3.94 (b(z, s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1093, 11025])).
% 3.74/3.94 tff(11027,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11028,plain,
% 3.74/3.94 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11029,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[11028])).
% 3.74/3.94 tff(11030,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.94 inference(transitivity,[status(thm)],[11029, 11027])).
% 3.74/3.94 tff(11031,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.74/3.94 inference(quant_inst,[status(thm)],[])).
% 3.74/3.94 tff(11032,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[11031, 11030])).
% 3.74/3.94 tff(11033,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11032, 91, 76, 10896, 79, 11026, 72])).
% 3.74/3.94 tff(11034,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[394, 11033])).
% 3.74/3.94 tff(11035,plain,
% 3.74/3.94 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10910, 11034, 269, 10896, 76, 73])).
% 3.74/3.94 tff(11036,plain,
% 3.74/3.94 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[246, 11035])).
% 3.74/3.94 tff(11037,plain,
% 3.74/3.94 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[7923, 10896, 76, 79, 669, 72])).
% 3.74/3.94 tff(11038,plain,
% 3.74/3.94 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[542, 11037])).
% 3.74/3.94 tff(11039,plain,
% 3.74/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11040,plain,
% 3.74/3.94 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11041,plain,
% 3.74/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[11040])).
% 3.74/3.94 tff(11042,plain,
% 3.74/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.94 inference(transitivity,[status(thm)],[11041, 11039])).
% 3.74/3.94 tff(11043,plain,
% 3.74/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 3.74/3.94 inference(quant_inst,[status(thm)],[])).
% 3.74/3.94 tff(11044,plain,
% 3.74/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 3.74/3.94 tff(11045,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11044, 125, 410, 765, 75, 203, 545])).
% 3.74/3.94 tff(11046,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11047,plain,
% 3.74/3.94 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11046, 11034, 765, 75, 11038])).
% 3.74/3.94 tff(11048,plain,
% 3.74/3.94 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1313, 11047])).
% 3.74/3.94 tff(11049,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10817, 11048, 11036, 669, 76])).
% 3.74/3.94 tff(11050,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11051,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11050, 73, 76, 765, 75, 269, 669, 72, 80])).
% 3.74/3.94 tff(11052,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[427, 11051])).
% 3.74/3.94 tff(11053,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[8976, 11052, 80, 73])).
% 3.74/3.94 tff(11054,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[314, 11053])).
% 3.74/3.94 tff(11055,plain,
% 3.74/3.94 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[7474, 11054, 76, 11026])).
% 3.74/3.94 tff(11056,plain,
% 3.74/3.94 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[336, 11055])).
% 3.74/3.94 tff(11057,plain,
% 3.74/3.94 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4030, 11052, 765, 75])).
% 3.74/3.94 tff(11058,plain,
% 3.74/3.94 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1313, 11057])).
% 3.74/3.94 tff(11059,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10817, 11058, 669, 76])).
% 3.74/3.94 tff(11060,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[246, 11059])).
% 3.74/3.94 tff(11061,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[9853, 11060, 11056, 80, 73, 11052])).
% 3.74/3.94 tff(11062,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11063,plain,
% 3.74/3.94 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11062, 75, 669, 76, 765, 80, 269, 72])).
% 3.74/3.94 tff(11064,plain,
% 3.74/3.94 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[369, 11063])).
% 3.74/3.94 tff(11065,plain,
% 3.74/3.94 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6871, 11064, 669, 76])).
% 3.74/3.94 tff(11066,plain,
% 3.74/3.94 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1313, 11065])).
% 3.74/3.94 tff(11067,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6126, 11064, 669, 76])).
% 3.74/3.94 tff(11068,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[246, 11067])).
% 3.74/3.94 tff(11069,plain,
% 3.74/3.94 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[7805, 11068, 11066, 269])).
% 3.74/3.94 tff(11070,plain,
% 3.74/3.94 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[163, 11069])).
% 3.74/3.94 tff(11071,plain,
% 3.74/3.94 (~r(s(s(s(s(s(z))))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4030, 11066, 765, 75])).
% 3.74/3.94 tff(11072,plain,
% 3.74/3.94 (b(s(s(s(s(s(z))))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[427, 11071])).
% 3.74/3.94 tff(11073,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11074,plain,
% 3.74/3.94 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(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(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11075,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[11074])).
% 3.74/3.94 tff(11076,plain,
% 3.74/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.94 inference(transitivity,[status(thm)],[11075, 11073])).
% 3.74/3.94 tff(11077,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(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))))))))),
% 3.74/3.94 inference(quant_inst,[status(thm)],[])).
% 3.74/3.94 tff(11078,plain,
% 3.74/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.74/3.94 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 3.74/3.94 tff(11079,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11078, 91, 76, 11072, 11070, 11026, 72, 11064])).
% 3.74/3.94 tff(11080,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11081,plain,
% 3.74/3.94 (~r(z, s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11080, 669, 72, 269, 765, 76, 80])).
% 3.74/3.94 tff(11082,plain,
% 3.74/3.94 (b(z, s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[113, 11081])).
% 3.74/3.94 tff(11083,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10817, 348, 669, 76])).
% 3.74/3.94 tff(11084,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[246, 11083])).
% 3.74/3.94 tff(11085,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6871, 348, 669, 76])).
% 3.74/3.94 tff(11086,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[369, 11085])).
% 3.74/3.94 tff(11087,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[9853, 11086, 80, 11084, 71])).
% 3.74/3.94 tff(11088,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[336, 11087])).
% 3.74/3.94 tff(11089,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[8976, 11086, 80, 71])).
% 3.74/3.94 tff(11090,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[314, 11089])).
% 3.74/3.94 tff(11091,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[7474, 11090, 11088, 76, 1073])).
% 3.74/3.94 tff(11092,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11093,plain,
% 3.74/3.94 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11092, 71, 11026, 80, 76, 669])).
% 3.74/3.94 tff(11094,plain,
% 3.74/3.94 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[1313, 11093])).
% 3.74/3.94 tff(11095,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6126, 349, 669, 76])).
% 3.74/3.94 tff(11096,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[246, 11095])).
% 3.74/3.94 tff(11097,plain,
% 3.74/3.94 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[7805, 11096, 203, 269])).
% 3.74/3.94 tff(11098,plain,
% 3.74/3.94 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[163, 11097])).
% 3.74/3.94 tff(11099,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10968, 91, 81, 11098, 669, 72, 349])).
% 3.74/3.94 tff(11100,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11101,plain,
% 3.74/3.94 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11100, 11094, 669, 72, 11082, 269, 76])).
% 3.74/3.94 tff(11102,plain,
% 3.74/3.94 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[369, 11101])).
% 3.74/3.94 tff(11103,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[8976, 11102, 80, 71])).
% 3.74/3.94 tff(11104,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), z)),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[314, 11103])).
% 3.74/3.94 tff(11105,plain,
% 3.74/3.94 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[7474, 11104, 76, 11026])).
% 3.74/3.94 tff(11106,plain,
% 3.74/3.94 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[336, 11105])).
% 3.74/3.94 tff(11107,plain,
% 3.74/3.94 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[9853, 11106, 80, 11102, 71])).
% 3.74/3.94 tff(11108,plain,
% 3.74/3.94 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[246, 11107])).
% 3.74/3.94 tff(11109,plain,
% 3.74/3.94 (~b(z, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10994, 10701, 80, 81, 71, 72, 73])).
% 3.74/3.94 tff(11110,plain,
% 3.74/3.94 (r(z, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[267, 11109])).
% 3.74/3.94 tff(11111,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[9839, 410, 71, 80, 73])).
% 3.74/3.94 tff(11112,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[201, 11111])).
% 3.74/3.94 tff(11113,plain,
% 3.74/3.94 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6861, 11112, 76, 72, 669, 81])).
% 3.74/3.94 tff(11114,plain,
% 3.74/3.94 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[542, 11113])).
% 3.74/3.94 tff(11115,plain,
% 3.74/3.94 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[4882, 11114, 203, 410])).
% 3.74/3.94 tff(11116,plain,
% 3.74/3.94 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[163, 11115])).
% 3.74/3.94 tff(11117,plain,
% 3.74/3.94 (~b(s(z), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11020, 11116, 669, 76, 11112, 298])).
% 3.74/3.94 tff(11118,plain,
% 3.74/3.94 (r(s(z), s(s(s(s(z)))))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[563, 11117])).
% 3.74/3.94 tff(11119,plain,
% 3.74/3.94 ($false),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[6989, 125, 410, 11118, 71, 11110, 73])).
% 3.74/3.94 tff(11120,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.94 tff(11121,plain,
% 3.74/3.94 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[11120, 71, 11102, 669, 76, 11108, 11094, 72, 11082, 80])).
% 3.74/3.94 tff(11122,plain,
% 3.74/3.94 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[394, 11121])).
% 3.74/3.94 tff(11123,plain,
% 3.74/3.94 (~b(z, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[10994, 11104, 80, 11082, 71, 72, 11102])).
% 3.74/3.94 tff(11124,plain,
% 3.74/3.94 (r(z, s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[267, 11123])).
% 3.74/3.94 tff(11125,plain,
% 3.74/3.94 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[9665, 135, 80, 270])).
% 3.74/3.94 tff(11126,plain,
% 3.74/3.94 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.94 inference(unit_resolution,[status(thm)],[201, 11125])).
% 3.74/3.94 tff(11127,plain,
% 3.74/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11128,plain,
% 3.74/3.94 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.94 inference(rewrite,[status(thm)],[])).
% 3.74/3.94 tff(11129,plain,
% 3.74/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.74/3.94 inference(monotonicity,[status(thm)],[11128])).
% 3.74/3.94 tff(11130,plain,
% 3.74/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.94 inference(transitivity,[status(thm)],[11129, 11127])).
% 3.74/3.94 tff(11131,plain,
% 3.74/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(11132,plain,
% 3.74/3.95 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 3.74/3.95 tff(11133,plain,
% 3.74/3.95 ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11132, 125, 347, 73, 269])).
% 3.74/3.95 tff(11134,plain,
% 3.74/3.95 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11133, 135])).
% 3.74/3.95 tff(11135,plain,
% 3.74/3.95 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[163, 11134])).
% 3.74/3.95 tff(11136,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[4355, 11135, 11126, 669, 77])).
% 3.74/3.95 tff(11137,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(11138,plain,
% 3.74/3.95 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11137, 11122, 669, 11106, 11102, 269, 80, 11124])).
% 3.74/3.95 tff(11139,plain,
% 3.74/3.95 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[563, 11138])).
% 3.74/3.95 tff(11140,plain,
% 3.74/3.95 (~b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[6302, 11139, 669, 11122])).
% 3.74/3.95 tff(11141,plain,
% 3.74/3.95 (r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[163, 11140])).
% 3.74/3.95 tff(11142,plain,
% 3.74/3.95 (~b(s(s(s(s(z)))), s(z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[4395, 11139, 669, 11122])).
% 3.74/3.95 tff(11143,plain,
% 3.74/3.95 (r(s(s(s(s(z)))), s(z))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[201, 11142])).
% 3.74/3.95 tff(11144,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11145,plain,
% 3.74/3.95 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11146,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[11145])).
% 3.74/3.95 tff(11147,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.95 inference(transitivity,[status(thm)],[11146, 11144])).
% 3.74/3.95 tff(11148,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(11149,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[11148, 11147])).
% 3.74/3.95 tff(11150,plain,
% 3.74/3.95 (~b(s(s(z)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11149, 91, 76, 81, 1073, 5148, 669])).
% 3.74/3.95 tff(11151,plain,
% 3.74/3.95 (r(s(s(z)), z)),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[898, 11150])).
% 3.74/3.95 tff(11152,plain,
% 3.74/3.95 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[10719, 125, 71, 11151, 80, 73])).
% 3.74/3.95 tff(11153,plain,
% 3.74/3.95 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[921, 64, 785, 11152])).
% 3.74/3.95 tff(11154,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11155,plain,
% 3.74/3.95 (((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11156,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[11155])).
% 3.74/3.95 tff(11157,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.95 inference(transitivity,[status(thm)],[11156, 11154])).
% 3.74/3.95 tff(11158,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(11159,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 3.74/3.95 tff(11160,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11159, 91, 81, 1073, 5148, 669, 10701, 11153])).
% 3.74/3.95 tff(11161,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(11162,plain,
% 3.74/3.95 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11161, 71, 11026, 669, 11082, 80, 11102, 76])).
% 3.74/3.95 tff(11163,plain,
% 3.74/3.95 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[881, 64, 11162, 871])).
% 3.74/3.95 tff(11164,plain,
% 3.74/3.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11165,plain,
% 3.74/3.95 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11166,plain,
% 3.74/3.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z))))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[11165])).
% 3.74/3.95 tff(11167,plain,
% 3.74/3.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.95 inference(transitivity,[status(thm)],[11166, 11164])).
% 3.74/3.95 tff(11168,plain,
% 3.74/3.95 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(11169,plain,
% 3.74/3.95 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z))))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 3.74/3.95 tff(11170,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11169, 125, 203, 4499, 4961, 136, 269])).
% 3.74/3.95 tff(11171,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(11172,plain,
% 3.74/3.95 (~r(s(z), s(s(z)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11171, 11141, 11094, 11163, 269])).
% 3.74/3.95 tff(11173,plain,
% 3.74/3.95 (b(s(z), s(s(z)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[1004, 11172])).
% 3.74/3.95 tff(11174,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(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)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11175,plain,
% 3.74/3.95 (((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(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(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11176,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[11175])).
% 3.74/3.95 tff(11177,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.95 inference(transitivity,[status(thm)],[11176, 11174])).
% 3.74/3.95 tff(11178,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))),
% 3.74/3.95 inference(quant_inst,[status(thm)],[])).
% 3.74/3.95 tff(11179,plain,
% 3.74/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.74/3.95 inference(modus_ponens,[status(thm)],[11178, 11177])).
% 3.74/3.95 tff(11180,plain,
% 3.74/3.95 ($false),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11179, 91, 3382, 76, 565, 4925, 74, 526])).
% 3.74/3.95 tff(11181,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.95 tff(11182,plain,
% 3.74/3.95 (~b(z, s(s(z)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[11181, 4925, 76, 565, 74, 526])).
% 3.74/3.95 tff(11183,plain,
% 3.74/3.95 (r(z, s(s(z)))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[3400, 11182])).
% 3.74/3.95 tff(11184,plain,
% 3.74/3.95 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[9719, 11183, 544, 270, 80])).
% 3.74/3.95 tff(11185,plain,
% 3.74/3.95 (b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.95 inference(unit_resolution,[status(thm)],[4476, 11184])).
% 3.74/3.95 tff(11186,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11187,plain,
% 3.74/3.95 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.95 inference(rewrite,[status(thm)],[])).
% 3.74/3.95 tff(11188,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.74/3.95 inference(monotonicity,[status(thm)],[11187])).
% 3.74/3.95 tff(11189,plain,
% 3.74/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.96 inference(transitivity,[status(thm)],[11188, 11186])).
% 3.74/3.96 tff(11190,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(11191,plain,
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% 3.74/3.96 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 3.74/3.96 tff(11192,plain,
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% 3.74/3.96 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
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% 3.74/3.96 inference(monotonicity,[status(thm)],[11197])).
% 3.74/3.96 tff(11199,plain,
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% 3.74/3.96 inference(transitivity,[status(thm)],[11198, 11196])).
% 3.74/3.96 tff(11200,plain,
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% 3.74/3.96 tff(11201,plain,
% 3.74/3.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[11200, 11199])).
% 3.74/3.96 tff(11202,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[11201, 125, 765, 11094, 71, 11195, 11141])).
% 3.74/3.96 tff(11203,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11204,plain,
% 3.74/3.96 (~r(s(s(s(s(s(z))))), z)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11203, 669, 76, 80, 269, 765, 72])).
% 3.74/3.96 tff(11205,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[427, 11204])).
% 3.74/3.96 tff(11206,plain,
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% 3.74/3.96 tff(11207,plain,
% 3.74/3.96 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1313, 11206])).
% 3.74/3.96 tff(11208,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[10540, 11207, 76, 72, 669, 11082, 11205])).
% 3.74/3.96 tff(11209,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[563, 11208])).
% 3.74/3.96 tff(11210,plain,
% 3.74/3.96 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11100, 11207, 669, 72, 11082, 269, 76])).
% 3.74/3.96 tff(11211,plain,
% 3.74/3.96 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
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% 3.74/3.96 tff(11212,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[10894, 11211, 11209, 76, 72, 11205, 80])).
% 3.74/3.96 tff(11213,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11214,plain,
% 3.74/3.96 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 3.74/3.96 tff(11215,plain,
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% 3.74/3.96 tff(11216,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[8762, 75, 318, 76, 80])).
% 3.74/3.96 tff(11217,plain,
% 3.74/3.96 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 3.74/3.96 tff(11218,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[8714, 125, 75, 215, 80, 11217, 115])).
% 3.74/3.96 tff(11219,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(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(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11220,plain,
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% 3.74/3.96 tff(11221,plain,
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% 3.74/3.96 tff(11222,plain,
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% 3.74/3.96 tff(11223,plain,
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% 3.74/3.96 tff(11224,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
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% 3.74/3.96 tff(11225,plain,
% 3.74/3.96 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(11226,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[11225])).
% 3.74/3.96 tff(11227,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.74/3.96 inference(transitivity,[status(thm)],[11226, 11224])).
% 3.74/3.96 tff(11228,plain,
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% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(11229,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 3.74/3.96 tff(11230,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11229, 91, 77, 76, 429, 348, 74, 349])).
% 3.74/3.96 tff(11231,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), 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(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11232,plain,
% 3.74/3.96 (~b(s(s(s(s(s(z))))), s(z))),
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% 3.74/3.96 tff(11233,plain,
% 3.74/3.96 (r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[394, 11232])).
% 3.74/3.96 tff(11234,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[7611, 10992, 11233, 269, 115, 347])).
% 3.74/3.96 tff(11235,plain,((~b(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11236,plain,
% 3.74/3.96 (~b(z, s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11235, 11221, 11215, 269, 72, 11223, 76, 348, 349])).
% 3.74/3.96 tff(11237,plain,
% 3.74/3.96 (r(z, s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[267, 11236])).
% 3.74/3.96 tff(11238,plain,
% 3.74/3.96 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[8588, 11237, 80, 215, 11221])).
% 3.74/3.96 tff(11239,plain,
% 3.74/3.96 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[563, 11238])).
% 3.74/3.96 tff(11240,plain,
% 3.74/3.96 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11006, 11237, 269, 80, 215])).
% 3.74/3.96 tff(11241,plain,
% 3.74/3.96 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[201, 11240])).
% 3.74/3.96 tff(11242,plain,
% 3.74/3.96 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[7939, 11241, 11239, 76])).
% 3.74/3.96 tff(11243,plain,
% 3.74/3.96 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[542, 11242])).
% 3.74/3.96 tff(11244,plain,
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% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(11245,plain,
% 3.74/3.96 (((~b(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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(11246,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[11245])).
% 3.74/3.96 tff(11247,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.96 inference(transitivity,[status(thm)],[11246, 11244])).
% 3.74/3.96 tff(11248,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(11249,plain,
% 3.74/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 3.74/3.96 tff(11250,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11249, 91, 76, 565, 177, 349, 298])).
% 3.74/3.96 tff(11251,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(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(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11252,plain,
% 3.74/3.96 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11251, 11239, 349, 76, 11241])).
% 3.74/3.96 tff(11253,plain,
% 3.74/3.96 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[246, 11252])).
% 3.74/3.96 tff(11254,plain,
% 3.74/3.96 (~b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[7361, 11239, 349, 11241])).
% 3.74/3.96 tff(11255,plain,
% 3.74/3.96 (r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[394, 11254])).
% 3.74/3.96 tff(11256,plain,
% 3.74/3.96 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(11257,plain,
% 3.74/3.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.74/3.96 inference(monotonicity,[status(thm)],[11256])).
% 3.74/3.96 tff(11258,plain,
% 3.74/3.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/3.96 inference(transitivity,[status(thm)],[11257, 6781])).
% 3.74/3.96 tff(11259,plain,
% 3.74/3.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.74/3.96 inference(quant_inst,[status(thm)],[])).
% 3.74/3.96 tff(11260,plain,
% 3.74/3.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.74/3.96 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 3.74/3.96 tff(11261,plain,
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% 3.74/3.96 inference(unit_resolution,[status(thm)],[11260, 125, 11255, 11253, 11243, 269])).
% 3.74/3.96 tff(11262,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11263,plain,
% 3.74/3.96 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[11262, 348, 349, 76, 80, 72, 269, 765, 75])).
% 3.74/3.96 tff(11264,plain,
% 3.74/3.96 (b(z, s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1093, 11263])).
% 3.74/3.96 tff(11265,plain,
% 3.74/3.96 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[7611, 544, 269, 115, 410])).
% 3.74/3.96 tff(11266,plain,
% 3.74/3.96 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[336, 11265])).
% 3.74/3.96 tff(11267,plain,
% 3.74/3.96 (~b(s(s(s(s(z)))), z)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[7474, 11266, 76, 1073])).
% 3.74/3.96 tff(11268,plain,
% 3.74/3.96 (r(s(s(s(s(z)))), z)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[314, 11267])).
% 3.74/3.96 tff(11269,plain,
% 3.74/3.96 ($false),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[5907, 125, 410, 75, 544, 11268, 115])).
% 3.74/3.96 tff(11270,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.96 tff(11271,plain,
% 3.74/3.96 (~r(s(s(s(s(z)))), s(z))),
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% 3.74/3.96 tff(11272,plain,
% 3.74/3.96 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[201, 11271])).
% 3.74/3.96 tff(11273,plain,
% 3.74/3.96 (~r(s(s(s(s(s(z))))), z)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1293, 1020, 11215, 75])).
% 3.74/3.96 tff(11274,plain,
% 3.74/3.96 (b(s(s(s(s(s(z))))), z)),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[427, 11273])).
% 3.74/3.96 tff(11275,plain,
% 3.74/3.96 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 3.74/3.96 tff(11276,plain,
% 3.74/3.96 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[246, 11275])).
% 3.74/3.96 tff(11277,plain,
% 3.74/3.96 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[1146, 11276, 11215, 1020, 75])).
% 3.74/3.96 tff(11278,plain,
% 3.74/3.96 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.96 inference(unit_resolution,[status(thm)],[336, 11277])).
% 3.74/3.96 tff(11279,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(11280,plain,
% 3.74/3.96 (((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.96 inference(rewrite,[status(thm)],[])).
% 3.74/3.96 tff(11281,plain,
% 3.74/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[11280])).
% 3.74/3.97 tff(11282,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[11281, 11279])).
% 3.74/3.97 tff(11283,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(11284,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 3.74/3.97 tff(11285,plain,
% 3.74/3.97 (~b(s(s(z)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11284, 91, 76, 1073, 318, 5148])).
% 3.74/3.97 tff(11286,plain,
% 3.74/3.97 (r(s(s(z)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[898, 11285])).
% 3.74/3.97 tff(11287,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11288,plain,
% 3.74/3.97 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11289,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[11288])).
% 3.74/3.97 tff(11290,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[11289, 11287])).
% 3.74/3.97 tff(11291,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(11292,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 3.74/3.97 tff(11293,plain,
% 3.74/3.97 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11292, 91, 76, 318, 5148])).
% 3.74/3.97 tff(11294,plain,
% 3.74/3.97 (r(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[938, 11293])).
% 3.74/3.97 tff(11295,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[3124, 11294, 11286, 75, 1020, 115])).
% 3.74/3.97 tff(11296,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(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(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(11297,plain,
% 3.74/3.97 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11296, 1020, 75, 11215, 76, 11278, 11264])).
% 3.74/3.97 tff(11298,plain,
% 3.74/3.97 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[881, 64, 11297, 871])).
% 3.74/3.97 tff(11299,plain,
% 3.74/3.97 (~r(z, s(z))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[10856, 125, 410, 75, 135, 80])).
% 3.74/3.97 tff(11300,plain,
% 3.74/3.97 (b(z, s(z))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[267, 11299])).
% 3.74/3.97 tff(11301,plain,
% 3.74/3.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11302,plain,
% 3.74/3.97 (((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11303,plain,
% 3.74/3.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z))))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[11302])).
% 3.74/3.97 tff(11304,plain,
% 3.74/3.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[11303, 11301])).
% 3.74/3.97 tff(11305,plain,
% 3.74/3.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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)))))))))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(11306,plain,
% 3.74/3.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z))))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 3.74/3.97 tff(11307,plain,
% 3.74/3.97 (~r(s(z), s(s(z)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11306, 125, 4961, 5795, 269])).
% 3.74/3.97 tff(11308,plain,
% 3.74/3.97 (b(s(z), s(s(z)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[1004, 11307])).
% 3.74/3.97 tff(11309,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11310,plain,
% 3.74/3.97 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11311,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[11310])).
% 3.74/3.97 tff(11312,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.97 inference(transitivity,[status(thm)],[11311, 11309])).
% 3.74/3.97 tff(11313,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(11314,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 3.74/3.97 tff(11315,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11314, 91, 924, 76, 4456, 1073, 4925, 72])).
% 3.74/3.97 tff(11316,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(11317,plain,
% 3.74/3.97 (~b(s(s(z)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11316, 11308, 4456, 1073, 76, 72])).
% 3.74/3.97 tff(11318,plain,
% 3.74/3.97 (r(s(s(z)), z)),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[898, 11317])).
% 3.74/3.97 tff(11319,plain,
% 3.74/3.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11320,plain,
% 3.74/3.97 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11321,plain,
% 3.74/3.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z)))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[11320])).
% 3.74/3.97 tff(11322,plain,
% 3.74/3.97 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[11321, 11319])).
% 3.74/3.97 tff(11323,plain,
% 3.74/3.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(11324,plain,
% 3.74/3.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z)))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[11323, 11322])).
% 3.74/3.97 tff(11325,plain,
% 3.74/3.97 (~r(s(s(z)), s(z))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11324, 125, 765, 836, 4961, 269])).
% 3.74/3.97 tff(11326,plain,
% 3.74/3.97 (b(s(s(z)), s(z))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[857, 11325])).
% 3.74/3.97 tff(11327,plain,
% 3.74/3.97 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[3124, 836, 75, 1020, 115])).
% 3.74/3.97 tff(11328,plain,
% 3.74/3.97 (b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[938, 11327])).
% 3.74/3.97 tff(11329,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11330,plain,
% 3.74/3.97 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~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(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.74/3.97 inference(rewrite,[status(thm)],[])).
% 3.74/3.97 tff(11331,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 3.74/3.97 inference(monotonicity,[status(thm)],[11330])).
% 3.74/3.97 tff(11332,plain,
% 3.74/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.74/3.97 inference(transitivity,[status(thm)],[11331, 11329])).
% 3.74/3.97 tff(11333,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))))),
% 3.74/3.97 inference(quant_inst,[status(thm)],[])).
% 3.74/3.97 tff(11334,plain,
% 3.74/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 3.74/3.97 inference(modus_ponens,[status(thm)],[11333, 11332])).
% 3.74/3.97 tff(11335,plain,
% 3.74/3.97 ($false),
% 3.74/3.97 inference(unit_resolution,[status(thm)],[11334, 91, 3382, 4456, 11328, 177, 72, 11326])).
% 3.74/3.97 tff(11336,plain,((~r(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.97 tff(11337,plain,
% 3.74/3.97 (~b(z, s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11336, 11318, 4456, 177, 72, 765, 4961, 269, 75, 1020, 115])).
% 3.74/3.98 tff(11338,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11339,plain,
% 3.74/3.98 (((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11340,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[11339])).
% 3.74/3.98 tff(11341,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[11340, 11338])).
% 3.74/3.98 tff(11342,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(11343,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[11342, 11341])).
% 3.74/3.98 tff(11344,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11343, 125, 3403, 765, 836, 3103])).
% 3.74/3.98 tff(11345,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(11346,plain,
% 3.74/3.98 (~r(z, s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11345, 11318, 765, 5795])).
% 3.74/3.98 tff(11347,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[3400, 11346, 11337])).
% 3.74/3.98 tff(11348,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(11349,plain,
% 3.74/3.98 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11348, 4961, 177, 72, 765, 269, 75, 1020, 11215, 1073, 76, 318])).
% 3.74/3.98 tff(11350,plain,
% 3.74/3.98 (r(s(s(z)), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[4476, 11349])).
% 3.74/3.98 tff(11351,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11352,plain,
% 3.74/3.98 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11353,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[11352])).
% 3.74/3.98 tff(11354,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[11353, 11351])).
% 3.74/3.98 tff(11355,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(11356,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[11355, 11354])).
% 3.74/3.98 tff(11357,plain,
% 3.74/3.98 (~r(s(s(z)), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11356, 125, 765, 80, 4961, 11350])).
% 3.74/3.98 tff(11358,plain,
% 3.74/3.98 (b(s(s(z)), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[898, 11357])).
% 3.74/3.98 tff(11359,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11360,plain,
% 3.74/3.98 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11361,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[11360])).
% 3.74/3.98 tff(11362,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 3.74/3.98 inference(transitivity,[status(thm)],[11361, 11359])).
% 3.74/3.98 tff(11363,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(11364,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 3.74/3.98 tff(11365,plain,
% 3.74/3.98 (~b(s(z), s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11364, 91, 11358, 11300, 72])).
% 3.74/3.98 tff(11366,plain,
% 3.74/3.98 (r(s(z), s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[1004, 11365])).
% 3.74/3.98 tff(11367,plain,
% 3.74/3.98 (~b(s(s(z)), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[984, 91, 11358, 11300, 72])).
% 3.74/3.98 tff(11368,plain,
% 3.74/3.98 (r(s(s(z)), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[857, 11367])).
% 3.74/3.98 tff(11369,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11370,plain,
% 3.74/3.98 (((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11371,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z)))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[11370])).
% 3.74/3.98 tff(11372,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[11371, 11369])).
% 3.74/3.98 tff(11373,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(11374,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z)))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 3.74/3.98 tff(11375,plain,
% 3.74/3.98 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11374, 125, 410, 11366, 11368])).
% 3.74/3.98 tff(11376,plain,
% 3.74/3.98 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[921, 64, 785, 11375])).
% 3.74/3.98 tff(11377,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(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(X1, 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)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11378,plain,
% 3.74/3.98 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(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(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11379,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), z)) | (~b(s(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(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[11378])).
% 3.74/3.98 tff(11380,plain,
% 3.74/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), z)) | (~b(s(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(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[11379, 11377])).
% 3.74/3.98 tff(11381,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), z)) | (~b(s(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(s(z)))))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(11382,plain,
% 3.74/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[11381, 11380])).
% 3.74/3.98 tff(11383,plain,
% 3.74/3.98 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11382, 91, 11358, 11300, 177, 349, 11376])).
% 3.74/3.98 tff(11384,plain,
% 3.74/3.98 (r(s(s(s(s(z)))), s(s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[938, 11383])).
% 3.74/3.98 tff(11385,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11386,plain,
% 3.74/3.98 (((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11387,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 3.74/3.98 inference(monotonicity,[status(thm)],[11386])).
% 3.74/3.98 tff(11388,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 3.74/3.98 inference(transitivity,[status(thm)],[11387, 11385])).
% 3.74/3.98 tff(11389,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.74/3.98 inference(quant_inst,[status(thm)],[])).
% 3.74/3.98 tff(11390,plain,
% 3.74/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 3.74/3.98 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 3.74/3.98 tff(11391,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11390, 125, 11384, 135, 11366, 4961, 269])).
% 3.74/3.98 tff(11392,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(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))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(11393,plain,
% 3.74/3.98 (~r(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11392, 11298, 269, 177, 349, 410, 72, 765, 80, 75, 1020, 11264, 76, 11278])).
% 3.74/3.98 tff(11394,plain,
% 3.74/3.98 (b(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[563, 11393])).
% 3.74/3.98 tff(11395,plain,
% 3.74/3.98 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[7939, 11394, 177, 76])).
% 3.74/3.98 tff(11396,plain,
% 3.74/3.98 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[542, 11395])).
% 3.74/3.98 tff(11397,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11260, 125, 410, 11276, 11396, 269])).
% 3.74/3.98 tff(11398,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(11399,plain,
% 3.74/3.98 (~r(s(s(s(s(z)))), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11398, 11272, 269, 410, 76, 349, 72, 765, 80, 75, 348])).
% 3.74/3.98 tff(11400,plain,
% 3.74/3.98 (~r(z, s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[8672, 410, 75, 80, 11215])).
% 3.74/3.98 tff(11401,plain,
% 3.74/3.98 (b(z, s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[267, 11400])).
% 3.74/3.98 tff(11402,plain,
% 3.74/3.98 (~b(s(s(s(s(z)))), z)),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[8578, 11272, 72, 11401])).
% 3.74/3.98 tff(11403,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[314, 11402, 11399])).
% 3.74/3.98 tff(11404,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(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(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(11405,plain,
% 3.74/3.98 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11404, 348, 269, 76, 349, 765, 80, 75, 72])).
% 3.74/3.98 tff(11406,plain,
% 3.74/3.98 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[394, 11405])).
% 3.74/3.98 tff(11407,plain,
% 3.74/3.98 (~b(z, s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11231, 74, 76, 77, 348, 349])).
% 3.74/3.98 tff(11408,plain,
% 3.74/3.98 (r(z, s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[267, 11407])).
% 3.74/3.98 tff(11409,plain,
% 3.74/3.98 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[7474, 74, 76, 1073])).
% 3.74/3.98 tff(11410,plain,
% 3.74/3.98 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[336, 11409])).
% 3.74/3.98 tff(11411,plain,
% 3.74/3.98 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[9865, 544, 80, 75, 270])).
% 3.74/3.98 tff(11412,plain,
% 3.74/3.98 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[163, 11411])).
% 3.74/3.98 tff(11413,plain,
% 3.74/3.98 ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[8525, 91, 77, 348, 72])).
% 3.74/3.98 tff(11414,plain,
% 3.74/3.98 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11413, 11412])).
% 3.74/3.98 tff(11415,plain,
% 3.74/3.98 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[542, 11414])).
% 3.74/3.98 tff(11416,plain,
% 3.74/3.98 ($false),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[7595, 125, 544, 347, 11415, 269])).
% 3.74/3.98 tff(11417,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.98 tff(11418,plain,
% 3.74/3.98 (~r(s(s(s(s(z)))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[11417, 11410, 269, 77, 348, 72, 80, 75, 11408])).
% 3.74/3.98 tff(11419,plain,
% 3.74/3.98 (b(s(s(s(s(z)))), s(z))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[201, 11418])).
% 3.74/3.98 tff(11420,plain,
% 3.74/3.98 (~b(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[7361, 11419, 349, 77])).
% 3.74/3.98 tff(11421,plain,
% 3.74/3.98 (r(s(z), s(s(s(s(z)))))),
% 3.74/3.98 inference(unit_resolution,[status(thm)],[563, 11420])).
% 3.74/3.98 tff(11422,plain,
% 3.74/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.98 inference(rewrite,[status(thm)],[])).
% 3.74/3.98 tff(11423,plain,
% 3.74/3.98 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11424,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[11423])).
% 3.74/3.99 tff(11425,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[11424, 11422])).
% 3.74/3.99 tff(11426,plain,
% 3.74/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(11427,plain,
% 3.74/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 3.74/3.99 tff(11428,plain,
% 3.74/3.99 ($false),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11427, 125, 75, 11421, 11408, 80, 115])).
% 3.74/3.99 tff(11429,plain,((~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/3.99 tff(11430,plain,
% 3.74/3.99 (~b(s(s(s(s(z)))), z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11429, 11406, 80, 11215, 349, 75, 269, 348, 72, 76, 11264])).
% 3.74/3.99 tff(11431,plain,
% 3.74/3.99 (r(s(s(s(s(z)))), z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[314, 11430])).
% 3.74/3.99 tff(11432,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11433,plain,
% 3.74/3.99 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11434,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[11433])).
% 3.74/3.99 tff(11435,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[11434, 11432])).
% 3.74/3.99 tff(11436,plain,
% 3.74/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(11437,plain,
% 3.74/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 3.74/3.99 tff(11438,plain,
% 3.74/3.99 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11437, 125, 765, 75, 11215])).
% 3.74/3.99 tff(11439,plain,
% 3.74/3.99 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11438, 11431])).
% 3.74/3.99 tff(11440,plain,
% 3.74/3.99 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[336, 11439])).
% 3.74/3.99 tff(11441,plain,
% 3.74/3.99 (~r(s(s(s(s(s(z))))), z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[1293, 11431, 11215, 75])).
% 3.74/3.99 tff(11442,plain,
% 3.74/3.99 (b(s(s(s(s(s(z))))), z)),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[427, 11441])).
% 3.74/3.99 tff(11443,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11444,plain,
% 3.74/3.99 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11445,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[11444])).
% 3.74/3.99 tff(11446,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.74/3.99 inference(transitivity,[status(thm)],[11445, 11443])).
% 3.74/3.99 tff(11447,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(11448,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 3.74/3.99 tff(11449,plain,
% 3.74/3.99 ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11448, 91, 11406, 11264, 72])).
% 3.74/3.99 tff(11450,plain,
% 3.74/3.99 (~b(z, s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11449, 11442])).
% 3.74/3.99 tff(11451,plain,
% 3.74/3.99 (r(z, s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[267, 11450])).
% 3.74/3.99 tff(11452,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11453,plain,
% 3.74/3.99 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11454,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[11453])).
% 3.74/3.99 tff(11455,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/3.99 inference(transitivity,[status(thm)],[11454, 11452])).
% 3.74/3.99 tff(11456,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(11457,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 3.74/3.99 tff(11458,plain,
% 3.74/3.99 (~b(s(s(s(s(z)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11457, 91, 11406, 11264, 11440, 72, 349])).
% 3.74/3.99 tff(11459,plain,
% 3.74/3.99 (r(s(s(s(s(z)))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[201, 11458])).
% 3.74/3.99 tff(11460,plain,
% 3.74/3.99 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[9865, 11459, 80, 75, 11451])).
% 3.74/3.99 tff(11461,plain,
% 3.74/3.99 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[163, 11460])).
% 3.74/3.99 tff(11462,plain,
% 3.74/3.99 ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[8525, 91, 11406, 348, 72])).
% 3.74/3.99 tff(11463,plain,
% 3.74/3.99 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11462, 11461])).
% 3.74/3.99 tff(11464,plain,
% 3.74/3.99 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[542, 11463])).
% 3.74/3.99 tff(11465,plain,
% 3.74/3.99 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11296, 11440, 75, 11215, 76, 11431, 11264])).
% 3.74/3.99 tff(11466,plain,
% 3.74/3.99 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[881, 64, 11465, 871])).
% 3.74/3.99 tff(11467,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11468,plain,
% 3.74/3.99 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11469,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[11468])).
% 3.74/3.99 tff(11470,plain,
% 3.74/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[11469, 11467])).
% 3.74/3.99 tff(11471,plain,
% 3.74/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(11472,plain,
% 3.74/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z)))),
% 3.74/3.99 inference(modus_ponens,[status(thm)],[11471, 11470])).
% 3.74/3.99 tff(11473,plain,
% 3.74/3.99 (~r(s(s(z)), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[11472, 125, 11466, 11464, 269])).
% 3.74/3.99 tff(11474,plain,
% 3.74/3.99 (b(s(s(z)), s(z))),
% 3.74/3.99 inference(unit_resolution,[status(thm)],[857, 11473])).
% 3.74/3.99 tff(11475,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11476,plain,
% 3.74/3.99 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.74/3.99 inference(rewrite,[status(thm)],[])).
% 3.74/3.99 tff(11477,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 3.74/3.99 inference(monotonicity,[status(thm)],[11476])).
% 3.74/3.99 tff(11478,plain,
% 3.74/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.74/3.99 inference(transitivity,[status(thm)],[11477, 11475])).
% 3.74/3.99 tff(11479,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.74/3.99 inference(quant_inst,[status(thm)],[])).
% 3.74/3.99 tff(11480,plain,
% 3.74/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[11479, 11478])).
% 3.74/4.00 tff(11481,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11480, 91, 3382, 77, 79, 176, 72, 3451])).
% 3.74/4.00 tff(11482,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(11483,plain,
% 3.74/4.00 (~b(z, s(s(z)))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11482, 11406, 11442, 11461, 72, 11474])).
% 3.74/4.00 tff(11484,plain,
% 3.74/4.00 (r(z, s(s(z)))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[3400, 11483])).
% 3.74/4.00 tff(11485,plain,
% 3.74/4.00 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[9719, 11484, 11459, 11451, 80])).
% 3.74/4.00 tff(11486,plain,
% 3.74/4.00 (b(s(s(z)), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[4476, 11485])).
% 3.74/4.00 tff(11487,plain,
% 3.74/4.00 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[5793, 11486, 76, 11440])).
% 3.74/4.00 tff(11488,plain,
% 3.74/4.00 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[3164, 11487])).
% 3.74/4.00 tff(11489,plain,
% 3.74/4.00 (~r(s(s(z)), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11345, 11488, 765, 11484])).
% 3.74/4.00 tff(11490,plain,
% 3.74/4.00 (b(s(s(z)), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[898, 11489])).
% 3.74/4.00 tff(11491,plain,
% 3.74/4.00 (~b(s(z), s(s(z)))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11316, 11490, 11486, 11264, 76, 72])).
% 3.74/4.00 tff(11492,plain,
% 3.74/4.00 (r(s(z), s(s(z)))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1004, 11491])).
% 3.74/4.00 tff(11493,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11306, 125, 11492, 11466, 11488, 269])).
% 3.74/4.00 tff(11494,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(11495,plain,
% 3.74/4.00 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11494, 75, 76, 72, 765, 80, 269, 349])).
% 3.74/4.00 tff(11496,plain,
% 3.74/4.00 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1313, 11495])).
% 3.74/4.00 tff(11497,plain,
% 3.74/4.00 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[8766, 11496, 76, 75, 80])).
% 3.74/4.00 tff(11498,plain,
% 3.74/4.00 (b(z, s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1093, 11497])).
% 3.74/4.00 tff(11499,plain,
% 3.74/4.00 (~r(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[4030, 11496, 765, 75])).
% 3.74/4.00 tff(11500,plain,
% 3.74/4.00 (b(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[427, 11499])).
% 3.74/4.00 tff(11501,plain,
% 3.74/4.00 (~b(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11078, 91, 76, 11500, 11498, 72, 349])).
% 3.74/4.00 tff(11502,plain,
% 3.74/4.00 (r(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[163, 11501])).
% 3.74/4.00 tff(11503,plain,
% 3.74/4.00 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7805, 11502, 11496, 269])).
% 3.74/4.00 tff(11504,plain,
% 3.74/4.00 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[246, 11503])).
% 3.74/4.00 tff(11505,plain,
% 3.74/4.00 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[8762, 11504, 75, 76, 80])).
% 3.74/4.00 tff(11506,plain,
% 3.74/4.00 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[336, 11505])).
% 3.74/4.00 tff(11507,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11438, 11506])).
% 3.74/4.00 tff(11508,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[314, 11507])).
% 3.74/4.00 tff(11509,plain,
% 3.74/4.00 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7464, 125, 11496, 11215, 269])).
% 3.74/4.00 tff(11510,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11509, 11506])).
% 3.74/4.00 tff(11511,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[201, 11510])).
% 3.74/4.00 tff(11512,plain,
% 3.74/4.00 (~b(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[8578, 11511, 72, 11508])).
% 3.74/4.00 tff(11513,plain,
% 3.74/4.00 (r(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[267, 11512])).
% 3.74/4.00 tff(11514,plain,
% 3.74/4.00 (~b(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11251, 11511, 349, 76, 11504])).
% 3.74/4.00 tff(11515,plain,
% 3.74/4.00 (r(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[563, 11514])).
% 3.74/4.00 tff(11516,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11427, 125, 75, 11515, 11513, 80, 11215])).
% 3.74/4.00 tff(11517,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(11518,plain,
% 3.74/4.00 (~r(z, s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11517, 349, 80, 76, 72, 269, 765])).
% 3.74/4.00 tff(11519,plain,
% 3.74/4.00 (b(z, s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[113, 11518])).
% 3.74/4.00 tff(11520,plain,
% 3.74/4.00 (~r(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11006, 544, 269, 80, 215])).
% 3.74/4.00 tff(11521,plain,
% 3.74/4.00 (b(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[267, 11520])).
% 3.74/4.00 tff(11522,plain,
% 3.74/4.00 (~b(s(s(s(s(s(z))))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[6553, 11521, 11519, 72])).
% 3.74/4.00 tff(11523,plain,
% 3.74/4.00 (r(s(s(s(s(s(z))))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[394, 11522])).
% 3.74/4.00 tff(11524,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7611, 11523, 269, 11215, 544])).
% 3.74/4.00 tff(11525,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[336, 11524])).
% 3.74/4.00 tff(11526,plain,
% 3.74/4.00 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[5775, 11525, 349, 76])).
% 3.74/4.00 tff(11527,plain,
% 3.74/4.00 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[246, 11526])).
% 3.74/4.00 tff(11528,plain,
% 3.74/4.00 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[698, 11523, 11215, 544])).
% 3.74/4.00 tff(11529,plain,
% 3.74/4.00 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[163, 11528])).
% 3.74/4.00 tff(11530,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(11531,plain,
% 3.74/4.00 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(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(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(11532,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[11531])).
% 3.74/4.00 tff(11533,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.74/4.00 inference(transitivity,[status(thm)],[11532, 11530])).
% 3.74/4.00 tff(11534,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(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))))))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(11535,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 3.74/4.00 tff(11536,plain,
% 3.74/4.00 ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11535, 91, 11519, 72, 349])).
% 3.74/4.00 tff(11537,plain,
% 3.74/4.00 (~b(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11536, 11529])).
% 3.74/4.00 tff(11538,plain,
% 3.74/4.00 (r(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[427, 11537])).
% 3.74/4.00 tff(11539,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[10898, 11538, 11527, 765, 215])).
% 3.74/4.00 tff(11540,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(11541,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11540, 215, 765, 72, 349, 76, 269, 80])).
% 3.74/4.00 tff(11542,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[201, 11541])).
% 3.74/4.00 tff(11543,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1028, 347, 765, 215])).
% 3.74/4.00 tff(11544,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[314, 11543])).
% 3.74/4.00 tff(11545,plain,
% 3.74/4.00 (~b(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[8578, 11544, 72, 177])).
% 3.74/4.00 tff(11546,plain,
% 3.74/4.00 (r(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[267, 11545])).
% 3.74/4.00 tff(11547,plain,
% 3.74/4.00 (~r(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[8588, 11546, 80, 215, 347])).
% 3.74/4.00 tff(11548,plain,
% 3.74/4.00 (b(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[563, 11547])).
% 3.74/4.00 tff(11549,plain,
% 3.74/4.00 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11251, 11548, 349, 76, 177])).
% 3.74/4.00 tff(11550,plain,
% 3.74/4.00 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[246, 11549])).
% 3.74/4.00 tff(11551,plain,
% 3.74/4.00 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[4195, 11550, 115, 347])).
% 3.74/4.00 tff(11552,plain,
% 3.74/4.00 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1313, 11551])).
% 3.74/4.00 tff(11553,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(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(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(11554,plain,
% 3.74/4.00 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(11555,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[11554])).
% 3.74/4.00 tff(11556,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.00 inference(transitivity,[status(thm)],[11555, 11553])).
% 3.74/4.00 tff(11557,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(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(s(s(z))))))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(11558,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 3.74/4.00 tff(11559,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11558, 91, 76, 11548, 11552, 177, 349])).
% 3.74/4.00 tff(11560,plain,((~r(s(s(s(s(z)))), s(s(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(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(11561,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11560, 11542, 76, 349, 11215, 80, 215, 72, 765])).
% 3.74/4.00 tff(11562,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[336, 11561])).
% 3.74/4.00 tff(11563,plain,
% 3.74/4.00 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[5775, 11562, 349, 76])).
% 3.74/4.00 tff(11564,plain,
% 3.74/4.00 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[246, 11563])).
% 3.74/4.00 tff(11565,plain,
% 3.74/4.00 (~r(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[10898, 11564, 765, 215])).
% 3.74/4.00 tff(11566,plain,
% 3.74/4.00 (b(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[427, 11565])).
% 3.74/4.00 tff(11567,plain,
% 3.74/4.00 (~b(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11536, 11566])).
% 3.74/4.00 tff(11568,plain,
% 3.74/4.00 (r(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[163, 11567])).
% 3.74/4.00 tff(11569,plain,
% 3.74/4.00 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7805, 11568, 11564, 269])).
% 3.74/4.00 tff(11570,plain,
% 3.74/4.00 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1313, 11569])).
% 3.74/4.00 tff(11571,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))), s(s(s(s(z)))))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(11572,plain,
% 3.74/4.00 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(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(z))))), s(s(s(s(z)))))))),
% 3.74/4.00 inference(rewrite,[status(thm)],[])).
% 3.74/4.00 tff(11573,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))), s(s(s(s(z))))))))),
% 3.74/4.00 inference(monotonicity,[status(thm)],[11572])).
% 3.74/4.00 tff(11574,plain,
% 3.74/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))), s(s(s(s(z)))))))),
% 3.74/4.00 inference(transitivity,[status(thm)],[11573, 11571])).
% 3.74/4.00 tff(11575,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(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(s(s(z))))))))),
% 3.74/4.00 inference(quant_inst,[status(thm)],[])).
% 3.74/4.00 tff(11576,plain,
% 3.74/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/4.00 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 3.74/4.00 tff(11577,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11576, 91, 76, 11570, 11562, 349])).
% 3.74/4.00 tff(11578,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(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(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(11579,plain,
% 3.74/4.00 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11578, 349, 76, 269, 72, 765, 80])).
% 3.74/4.00 tff(11580,plain,
% 3.74/4.00 (b(z, s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1093, 11579])).
% 3.74/4.00 tff(11581,plain,
% 3.74/4.00 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7611, 347, 269, 115, 544])).
% 3.74/4.00 tff(11582,plain,
% 3.74/4.00 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[394, 11581])).
% 3.74/4.00 tff(11583,plain,
% 3.74/4.00 (~b(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[6553, 11582, 81, 72])).
% 3.74/4.00 tff(11584,plain,
% 3.74/4.00 (r(z, s(z))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[267, 11583])).
% 3.74/4.00 tff(11585,plain,
% 3.74/4.00 (~r(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[9665, 11584, 80, 544])).
% 3.74/4.00 tff(11586,plain,
% 3.74/4.00 (b(s(z), s(s(s(s(z)))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[563, 11585])).
% 3.74/4.00 tff(11587,plain,
% 3.74/4.00 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7455, 91, 11582, 76, 11586, 81, 1073])).
% 3.74/4.00 tff(11588,plain,
% 3.74/4.00 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1313, 11587])).
% 3.74/4.00 tff(11589,plain,
% 3.74/4.00 ($false),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7464, 125, 11588, 544, 347, 115, 269])).
% 3.74/4.00 tff(11590,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.00 tff(11591,plain,
% 3.74/4.00 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11590, 544, 11215, 269, 76, 11519, 11580, 80, 72])).
% 3.74/4.00 tff(11592,plain,
% 3.74/4.00 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[336, 11591])).
% 3.74/4.00 tff(11593,plain,
% 3.74/4.00 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[5775, 11592, 349, 76])).
% 3.74/4.00 tff(11594,plain,
% 3.74/4.00 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[246, 11593])).
% 3.74/4.00 tff(11595,plain,
% 3.74/4.00 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11576, 91, 76, 11592, 349])).
% 3.74/4.00 tff(11596,plain,
% 3.74/4.00 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[1313, 11595])).
% 3.74/4.00 tff(11597,plain,
% 3.74/4.00 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[7805, 11596, 11594, 269])).
% 3.74/4.00 tff(11598,plain,
% 3.74/4.00 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[163, 11597])).
% 3.74/4.00 tff(11599,plain,
% 3.74/4.00 (~b(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[11536, 11598])).
% 3.74/4.00 tff(11600,plain,
% 3.74/4.00 (r(s(s(s(s(s(z))))), z)),
% 3.74/4.00 inference(unit_resolution,[status(thm)],[427, 11599])).
% 3.74/4.00 tff(11601,plain,
% 3.74/4.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11602,plain,
% 3.74/4.01 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z)))) <=> ((~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11603,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[11602])).
% 3.74/4.01 tff(11604,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.74/4.01 inference(transitivity,[status(thm)],[11603, 11601])).
% 3.74/4.01 tff(11605,plain,
% 3.74/4.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(11606,plain,
% 3.74/4.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[11605, 11604])).
% 3.74/4.01 tff(11607,plain,
% 3.74/4.01 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11606, 125, 765, 11600, 11594, 269])).
% 3.74/4.01 tff(11608,plain,
% 3.74/4.01 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[394, 11607])).
% 3.74/4.01 tff(11609,plain,
% 3.74/4.01 (~b(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[6553, 11608, 11519, 72])).
% 3.74/4.01 tff(11610,plain,
% 3.74/4.01 (r(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[267, 11609])).
% 3.74/4.01 tff(11611,plain,
% 3.74/4.01 (~r(s(z), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[9665, 11610, 80, 544])).
% 3.74/4.01 tff(11612,plain,
% 3.74/4.01 (b(s(z), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[563, 11611])).
% 3.74/4.01 tff(11613,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11614,plain,
% 3.74/4.01 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11615,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[11614])).
% 3.74/4.01 tff(11616,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.01 inference(transitivity,[status(thm)],[11615, 11613])).
% 3.74/4.01 tff(11617,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(11618,plain,
% 3.74/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[11617, 11616])).
% 3.74/4.01 tff(11619,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11618, 91, 76, 11612, 11598, 11592, 349])).
% 3.74/4.01 tff(11620,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(11621,plain,
% 3.74/4.01 (~r(s(s(s(s(z)))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11620, 349, 76, 80, 72, 765, 269])).
% 3.74/4.01 tff(11622,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[201, 11621])).
% 3.74/4.01 tff(11623,plain,
% 3.74/4.01 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[5775, 318, 349, 76])).
% 3.74/4.01 tff(11624,plain,
% 3.74/4.01 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[246, 11623])).
% 3.74/4.01 tff(11625,plain,
% 3.74/4.01 ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11535, 91, 81, 72, 349])).
% 3.74/4.01 tff(11626,plain,
% 3.74/4.01 (~b(s(z), s(s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11625, 79])).
% 3.74/4.01 tff(11627,plain,
% 3.74/4.01 (r(s(z), s(s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[163, 11626])).
% 3.74/4.01 tff(11628,plain,
% 3.74/4.01 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1081, 79, 81, 1073])).
% 3.74/4.01 tff(11629,plain,
% 3.74/4.01 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1313, 11628])).
% 3.74/4.01 tff(11630,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[7805, 11629, 11627, 216, 269])).
% 3.74/4.01 tff(11631,plain,((~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(11632,plain,
% 3.74/4.01 (~b(s(s(s(s(s(z))))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11631, 11624, 269, 81, 1073, 72, 349])).
% 3.74/4.01 tff(11633,plain,
% 3.74/4.01 (r(s(s(s(s(s(z))))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[427, 11632])).
% 3.74/4.01 tff(11634,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11606, 125, 410, 765, 71, 216, 269])).
% 3.74/4.01 tff(11635,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(11636,plain,
% 3.74/4.01 (~r(s(s(s(s(s(z))))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11635, 11633, 765, 11624, 269])).
% 3.74/4.01 tff(11637,plain,
% 3.74/4.01 (b(s(s(s(s(s(z))))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[394, 11636])).
% 3.74/4.01 tff(11638,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11457, 91, 11637, 1073, 318, 177, 72, 349])).
% 3.74/4.01 tff(11639,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(11640,plain,
% 3.74/4.01 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11639, 11580, 11622, 72, 349, 765, 269, 11519, 76])).
% 3.74/4.01 tff(11641,plain,
% 3.74/4.01 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 3.74/4.01 tff(11642,plain,
% 3.74/4.01 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 3.74/4.01 tff(11643,plain,
% 3.74/4.01 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[246, 11642])).
% 3.74/4.01 tff(11644,plain,
% 3.74/4.01 (~b(s(z), s(s(s(s(z)))))),
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% 3.74/4.01 tff(11645,plain,
% 3.74/4.01 (r(s(z), s(s(s(s(z)))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[563, 11644])).
% 3.74/4.01 tff(11646,plain,
% 3.74/4.01 (~r(s(z), s(s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[6890, 203, 11645, 11641, 269])).
% 3.74/4.01 tff(11647,plain,
% 3.74/4.01 (b(s(z), s(s(s(s(s(z))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[163, 11646])).
% 3.74/4.01 tff(11648,plain,
% 3.74/4.01 (~b(s(s(s(s(s(z))))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11536, 11647])).
% 3.74/4.01 tff(11649,plain,
% 3.74/4.01 (r(s(s(s(s(s(z))))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[427, 11648])).
% 3.74/4.01 tff(11650,plain,
% 3.74/4.01 (~r(s(s(s(s(z)))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[5459, 11649, 11215, 11641, 203])).
% 3.74/4.01 tff(11651,plain,
% 3.74/4.01 (b(s(s(s(s(z)))), z)),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[314, 11650])).
% 3.74/4.01 tff(11652,plain,
% 3.74/4.01 (~b(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[8578, 11651, 72, 11622])).
% 3.74/4.01 tff(11653,plain,
% 3.74/4.01 (r(z, s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[267, 11652])).
% 3.74/4.01 tff(11654,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11655,plain,
% 3.74/4.01 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11656,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[11655])).
% 3.74/4.01 tff(11657,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 3.74/4.01 inference(transitivity,[status(thm)],[11656, 11654])).
% 3.74/4.01 tff(11658,plain,
% 3.74/4.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(11659,plain,
% 3.74/4.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[11658, 11657])).
% 3.74/4.01 tff(11660,plain,
% 3.74/4.01 ($false),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11659, 125, 765, 203, 71, 270, 545])).
% 3.74/4.01 tff(11661,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.01 tff(11662,plain,
% 3.74/4.01 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11661, 203, 765, 11649, 11653])).
% 3.74/4.01 tff(11663,plain,
% 3.74/4.01 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[542, 11662])).
% 3.74/4.01 tff(11664,plain,
% 3.74/4.01 (~r(s(z), s(s(z)))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[8397, 125, 135, 347, 4539, 269])).
% 3.74/4.01 tff(11665,plain,
% 3.74/4.01 (b(s(z), s(s(z)))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[1004, 11664])).
% 3.74/4.01 tff(11666,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11667,plain,
% 3.74/4.01 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~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(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11668,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))))),
% 3.74/4.01 inference(monotonicity,[status(thm)],[11667])).
% 3.74/4.01 tff(11669,plain,
% 3.74/4.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 3.74/4.01 inference(transitivity,[status(thm)],[11668, 11666])).
% 3.74/4.01 tff(11670,plain,
% 3.74/4.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))),
% 3.74/4.01 inference(quant_inst,[status(thm)],[])).
% 3.74/4.01 tff(11671,plain,
% 3.74/4.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))),
% 3.74/4.01 inference(modus_ponens,[status(thm)],[11670, 11669])).
% 3.74/4.01 tff(11672,plain,
% 3.74/4.01 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11671, 125, 135, 270, 4539])).
% 3.74/4.01 tff(11673,plain,
% 3.74/4.01 (~r(s(s(z)), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11672, 836])).
% 3.74/4.01 tff(11674,plain,
% 3.74/4.01 (b(s(s(z)), s(z))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[857, 11673])).
% 3.74/4.01 tff(11675,plain,
% 3.74/4.01 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11356, 125, 765, 80, 4539])).
% 3.74/4.01 tff(11676,plain,
% 3.74/4.01 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[11675, 836])).
% 3.74/4.01 tff(11677,plain,
% 3.74/4.01 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.74/4.01 inference(unit_resolution,[status(thm)],[881, 64, 11676, 871])).
% 3.74/4.01 tff(11678,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11679,plain,
% 3.74/4.01 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.74/4.01 inference(rewrite,[status(thm)],[])).
% 3.74/4.01 tff(11680,plain,
% 3.74/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z)))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[11679])).
% 3.74/4.02 tff(11681,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[11680, 11678])).
% 3.74/4.02 tff(11682,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.74/4.02 inference(quant_inst,[status(thm)],[])).
% 3.74/4.02 tff(11683,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z)))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 3.74/4.02 tff(11684,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11683, 91, 76, 176, 11677, 526, 11674, 349])).
% 3.74/4.02 tff(11685,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(11686,plain,
% 3.74/4.02 (~r(s(s(z)), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11685, 4539, 176, 526, 349, 765, 80, 76, 135, 270])).
% 3.74/4.02 tff(11687,plain,
% 3.74/4.02 (b(s(s(z)), z)),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[898, 11686])).
% 3.74/4.02 tff(11688,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), 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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11689,plain,
% 3.74/4.02 (((~b(s(s(z)), z)) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11690,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[11689])).
% 3.74/4.02 tff(11691,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[11690, 11688])).
% 3.74/4.02 tff(11692,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.74/4.02 inference(quant_inst,[status(thm)],[])).
% 3.74/4.02 tff(11693,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[11692, 11691])).
% 3.74/4.02 tff(11694,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11693, 91, 11687, 76, 11665, 177, 74, 526])).
% 3.74/4.02 tff(11695,plain,((~r(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(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(11696,plain,
% 3.74/4.02 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11695, 11651, 11622, 76, 11663, 11647, 349, 765, 80, 11645, 11653, 11641, 269])).
% 3.74/4.02 tff(11697,plain,
% 3.74/4.02 (b(s(s(z)), s(s(s(s(z)))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[4476, 11696])).
% 3.74/4.02 tff(11698,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11699,plain,
% 3.74/4.02 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11700,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[11699])).
% 3.74/4.02 tff(11701,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[11700, 11698])).
% 3.74/4.02 tff(11702,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z))))))))),
% 3.74/4.02 inference(quant_inst,[status(thm)],[])).
% 3.74/4.02 tff(11703,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 3.74/4.02 tff(11704,plain,
% 3.74/4.02 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11703, 91, 11697, 11580, 11651, 349, 11643])).
% 3.74/4.02 tff(11705,plain,
% 3.74/4.02 ((s(s(z)) = s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[909, 64, 11704])).
% 3.74/4.02 tff(11706,plain,
% 3.74/4.02 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11705, 786])).
% 3.74/4.02 tff(11707,plain,
% 3.74/4.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11708,plain,
% 3.74/4.02 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11709,plain,
% 3.74/4.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[11708])).
% 3.74/4.02 tff(11710,plain,
% 3.74/4.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[11709, 11707])).
% 3.74/4.02 tff(11711,plain,
% 3.74/4.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/4.02 inference(quant_inst,[status(thm)],[])).
% 3.74/4.02 tff(11712,plain,
% 3.74/4.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[11711, 11710])).
% 3.74/4.02 tff(11713,plain,
% 3.74/4.02 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11712, 125, 765, 203, 11649, 11706])).
% 3.74/4.02 tff(11714,plain,
% 3.74/4.02 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[3164, 11713])).
% 3.74/4.02 tff(11715,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11716,plain,
% 3.74/4.02 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11717,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.74/4.02 inference(monotonicity,[status(thm)],[11716])).
% 3.74/4.02 tff(11718,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.74/4.02 inference(transitivity,[status(thm)],[11717, 11715])).
% 3.74/4.02 tff(11719,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.74/4.02 inference(quant_inst,[status(thm)],[])).
% 3.74/4.02 tff(11720,plain,
% 3.74/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.74/4.02 inference(modus_ponens,[status(thm)],[11719, 11718])).
% 3.74/4.02 tff(11721,plain,
% 3.74/4.02 ($false),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11720, 91, 11697, 11714, 11519, 11580, 349, 11643])).
% 3.74/4.02 tff(11722,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.74/4.02 tff(11723,plain,
% 3.74/4.02 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[11722, 349, 765, 76, 80, 269, 72])).
% 3.74/4.02 tff(11724,plain,
% 3.74/4.02 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.74/4.02 inference(unit_resolution,[status(thm)],[1313, 11723])).
% 3.74/4.02 tff(11725,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11726,plain,
% 3.74/4.02 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.74/4.02 inference(rewrite,[status(thm)],[])).
% 3.74/4.02 tff(11727,plain,
% 3.74/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.86/4.02 inference(monotonicity,[status(thm)],[11726])).
% 3.86/4.02 tff(11728,plain,
% 3.86/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.02 inference(transitivity,[status(thm)],[11727, 11725])).
% 3.86/4.02 tff(11729,plain,
% 3.86/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.86/4.02 inference(quant_inst,[status(thm)],[])).
% 3.86/4.02 tff(11730,plain,
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% 3.86/4.02 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 3.86/4.02 tff(11731,plain,
% 3.86/4.02 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[11730, 91, 11519, 11724, 11580, 349])).
% 3.86/4.02 tff(11732,plain,
% 3.86/4.02 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[246, 11731])).
% 3.86/4.02 tff(11733,plain,
% 3.86/4.02 (~b(s(s(s(s(s(z))))), z)),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[1081, 11724, 11519, 11580])).
% 3.86/4.02 tff(11734,plain,
% 3.86/4.02 (r(s(s(s(s(s(z))))), z)),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[427, 11733])).
% 3.86/4.02 tff(11735,plain,
% 3.86/4.02 (~r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[11635, 11732, 765, 11734, 269])).
% 3.86/4.02 tff(11736,plain,
% 3.86/4.02 (b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[394, 11735])).
% 3.86/4.02 tff(11737,plain,
% 3.86/4.02 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[7361, 11736, 349, 11622])).
% 3.86/4.02 tff(11738,plain,
% 3.86/4.02 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[563, 11737])).
% 3.86/4.02 tff(11739,plain,
% 3.86/4.02 (~r(s(z), s(s(s(s(s(z))))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[2727, 125, 11738, 11732, 11215, 269])).
% 3.86/4.02 tff(11740,plain,
% 3.86/4.02 (b(s(z), s(s(s(s(s(z))))))),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[163, 11739])).
% 3.86/4.02 tff(11741,plain,
% 3.86/4.02 ($false),
% 3.86/4.02 inference(unit_resolution,[status(thm)],[8557, 91, 11736, 11519, 11740, 72])).
% 3.86/4.02 tff(11742,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(11743,plain,
% 3.86/4.03 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11742, 765, 269, 72, 76, 80])).
% 3.86/4.03 tff(11744,plain,
% 3.86/4.03 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[369, 11743])).
% 3.86/4.03 tff(11745,plain,
% 3.86/4.03 (~r(z, s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[133, 73, 80, 115])).
% 3.86/4.03 tff(11746,plain,
% 3.86/4.03 (b(z, s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[113, 11745])).
% 3.86/4.03 tff(11747,plain,
% 3.86/4.03 (~b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[6553, 429, 11746, 72])).
% 3.86/4.03 tff(11748,plain,
% 3.86/4.03 (r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[394, 11747])).
% 3.86/4.03 tff(11749,plain,
% 3.86/4.03 (~r(s(z), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[698, 544, 115, 410])).
% 3.86/4.03 tff(11750,plain,
% 3.86/4.03 (b(s(z), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[163, 11749])).
% 3.86/4.03 tff(11751,plain,
% 3.86/4.03 (~r(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[738, 544, 73, 410])).
% 3.86/4.03 tff(11752,plain,
% 3.86/4.03 (b(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[563, 11751])).
% 3.86/4.03 tff(11753,plain,
% 3.86/4.03 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[7567, 544, 73, 410, 269])).
% 3.86/4.03 tff(11754,plain,
% 3.86/4.03 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[246, 11753])).
% 3.86/4.03 tff(11755,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[8022, 11754, 11752, 81, 429, 11750, 76])).
% 3.86/4.03 tff(11756,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(11757,plain,
% 3.86/4.03 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11756, 429, 11746, 76, 115, 11748, 73, 269])).
% 3.86/4.03 tff(11758,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[201, 11757])).
% 3.86/4.03 tff(11759,plain,
% 3.86/4.03 (~b(s(s(s(s(z)))), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[8578, 11758, 72, 429])).
% 3.86/4.03 tff(11760,plain,
% 3.86/4.03 (r(s(s(s(s(z)))), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[314, 11759])).
% 3.86/4.03 tff(11761,plain,
% 3.86/4.03 (~r(s(s(s(s(s(z))))), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[8976, 11760, 80, 73])).
% 3.86/4.03 tff(11762,plain,
% 3.86/4.03 (b(s(s(s(s(s(z))))), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[427, 11761])).
% 3.86/4.03 tff(11763,plain,
% 3.86/4.03 (~r(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[10894, 11762, 76, 72, 73, 80])).
% 3.86/4.03 tff(11764,plain,
% 3.86/4.03 (b(s(z), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[563, 11763])).
% 3.86/4.03 tff(11765,plain,
% 3.86/4.03 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[7939, 11764, 11758, 76])).
% 3.86/4.03 tff(11766,plain,
% 3.86/4.03 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[542, 11765])).
% 3.86/4.03 tff(11767,plain,
% 3.86/4.03 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[10910, 11764, 269, 73, 76, 11748])).
% 3.86/4.03 tff(11768,plain,
% 3.86/4.03 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[246, 11767])).
% 3.86/4.03 tff(11769,plain,
% 3.86/4.03 (~b(s(z), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[8022, 11768, 11746, 429, 11764, 76])).
% 3.86/4.03 tff(11770,plain,
% 3.86/4.03 (r(s(z), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[163, 11769])).
% 3.86/4.03 tff(11771,plain,
% 3.86/4.03 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[4882, 11770, 11748, 11766])).
% 3.86/4.03 tff(11772,plain,
% 3.86/4.03 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1313, 11771])).
% 3.86/4.03 tff(11773,plain,
% 3.86/4.03 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1098, 11772, 11746, 11762, 11760])).
% 3.86/4.03 tff(11774,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[336, 11773])).
% 3.86/4.03 tff(11775,plain,
% 3.86/4.03 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[881, 64, 5703, 871])).
% 3.86/4.03 tff(11776,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(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(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(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(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11777,plain,
% 3.86/4.03 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(s(s(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(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11778,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(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(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[11777])).
% 3.86/4.03 tff(11779,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(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(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.86/4.03 inference(transitivity,[status(thm)],[11778, 11776])).
% 3.86/4.03 tff(11780,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(11781,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(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(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[11780, 11779])).
% 3.86/4.03 tff(11782,plain,
% 3.86/4.03 (~b(s(z), s(s(z)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11781, 91, 76, 4456, 565, 318])).
% 3.86/4.03 tff(11783,plain,
% 3.86/4.03 (r(s(z), s(s(z)))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[1004, 11782])).
% 3.86/4.03 tff(11784,plain,
% 3.86/4.03 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z))))) <=> ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11785,plain,
% 3.86/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z))))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[11784])).
% 3.86/4.03 tff(11786,plain,
% 3.86/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 3.86/4.03 inference(transitivity,[status(thm)],[11785, 11301])).
% 3.86/4.03 tff(11787,plain,
% 3.86/4.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(11788,plain,
% 3.86/4.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z))))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[11787, 11786])).
% 3.86/4.03 tff(11789,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11788, 125, 11783, 11775, 5795, 269])).
% 3.86/4.03 tff(11790,plain,(b(s(s(z)), s(s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(11791,plain,
% 3.86/4.03 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11790, 4456, 76, 269, 565, 318])).
% 3.86/4.03 tff(11792,plain,
% 3.86/4.03 (((~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(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(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11793,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[11792])).
% 3.86/4.03 tff(11794,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.86/4.03 inference(transitivity,[status(thm)],[11793, 5796])).
% 3.86/4.03 tff(11795,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(11796,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[11795, 11794])).
% 3.86/4.03 tff(11797,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11796, 91, 76, 4456, 318, 11791])).
% 3.86/4.03 tff(11798,plain,((~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)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(11799,plain,
% 3.86/4.03 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11798, 11774, 76, 269, 11764])).
% 3.86/4.03 tff(11800,plain,
% 3.86/4.03 (r(s(s(z)), s(s(s(s(z)))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[4476, 11799])).
% 3.86/4.03 tff(11801,plain,
% 3.86/4.03 (~r(s(s(z)), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[9169, 11800, 80, 11760])).
% 3.86/4.03 tff(11802,plain,
% 3.86/4.03 (b(s(s(z)), z)),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[898, 11801])).
% 3.86/4.03 tff(11803,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11804,plain,
% 3.86/4.03 (((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11805,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[11804])).
% 3.86/4.03 tff(11806,plain,
% 3.86/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.86/4.03 inference(transitivity,[status(thm)],[11805, 11803])).
% 3.86/4.03 tff(11807,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(11808,plain,
% 3.86/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 3.86/4.03 tff(11809,plain,
% 3.86/4.03 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11808, 91, 11802, 11762, 429, 72])).
% 3.86/4.03 tff(11810,plain,
% 3.86/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11811,plain,
% 3.86/4.03 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.03 inference(rewrite,[status(thm)],[])).
% 3.86/4.03 tff(11812,plain,
% 3.86/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.86/4.03 inference(monotonicity,[status(thm)],[11811])).
% 3.86/4.03 tff(11813,plain,
% 3.86/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.03 inference(transitivity,[status(thm)],[11812, 11810])).
% 3.86/4.03 tff(11814,plain,
% 3.86/4.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.86/4.03 inference(quant_inst,[status(thm)],[])).
% 3.86/4.03 tff(11815,plain,
% 3.86/4.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.86/4.03 inference(modus_ponens,[status(thm)],[11814, 11813])).
% 3.86/4.03 tff(11816,plain,
% 3.86/4.03 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11815, 125, 73, 115, 11800])).
% 3.86/4.03 tff(11817,plain,
% 3.86/4.03 ((s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z))))))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[909, 64, 11816])).
% 3.86/4.03 tff(11818,plain,
% 3.86/4.03 ($false),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11817, 11809, 786])).
% 3.86/4.03 tff(11819,plain,((~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.03 tff(11820,plain,
% 3.86/4.03 (~b(z, s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11819, 11744, 72, 11215, 80, 76, 269])).
% 3.86/4.03 tff(11821,plain,
% 3.86/4.03 (r(z, s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[267, 11820])).
% 3.86/4.03 tff(11822,plain,
% 3.86/4.03 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[11006, 215, 269, 80, 270])).
% 3.86/4.03 tff(11823,plain,
% 3.86/4.03 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[201, 11822])).
% 3.86/4.03 tff(11824,plain,
% 3.86/4.03 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.03 inference(unit_resolution,[status(thm)],[7939, 11823, 565, 76])).
% 3.86/4.04 tff(11825,plain,
% 3.86/4.04 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[542, 11824])).
% 3.86/4.04 tff(11826,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[6830, 125, 215, 270, 11825, 269])).
% 3.86/4.04 tff(11827,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(11828,plain,
% 3.86/4.04 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11827, 565, 269, 11821, 76, 80])).
% 3.86/4.04 tff(11829,plain,
% 3.86/4.04 (b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1093, 11828])).
% 3.86/4.04 tff(11830,plain,
% 3.86/4.04 (~r(z, s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[133, 11744, 80, 11215])).
% 3.86/4.04 tff(11831,plain,
% 3.86/4.04 (b(z, s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[113, 11830])).
% 3.86/4.04 tff(11832,plain,
% 3.86/4.04 (~b(s(s(s(s(s(z))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[7952, 565, 269, 11831, 11821, 76, 11215, 72])).
% 3.86/4.04 tff(11833,plain,
% 3.86/4.04 (r(s(s(s(s(s(z))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[427, 11832])).
% 3.86/4.04 tff(11834,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[8976, 11833, 80, 11744])).
% 3.86/4.04 tff(11835,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[314, 11834])).
% 3.86/4.04 tff(11836,plain,
% 3.86/4.04 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[7474, 11829, 76, 11835])).
% 3.86/4.04 tff(11837,plain,
% 3.86/4.04 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[336, 11836])).
% 3.86/4.04 tff(11838,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11590, 11837, 11215, 269, 76, 11831, 11829, 80, 72])).
% 3.86/4.04 tff(11839,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[201, 11838])).
% 3.86/4.04 tff(11840,plain,
% 3.86/4.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11841,plain,
% 3.86/4.04 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(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(s(s(z))))))))) <=> ((~r(s(s(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(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11842,plain,
% 3.86/4.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[11841])).
% 3.86/4.04 tff(11843,plain,
% 3.86/4.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[11842, 11840])).
% 3.86/4.04 tff(11844,plain,
% 3.86/4.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(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(s(s(z)))))))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(11845,plain,
% 3.86/4.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[11844, 11843])).
% 3.86/4.04 tff(11846,plain,
% 3.86/4.04 ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11845, 125, 765, 80, 11744])).
% 3.86/4.04 tff(11847,plain,
% 3.86/4.04 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11846, 11833])).
% 3.86/4.04 tff(11848,plain,
% 3.86/4.04 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[246, 11847])).
% 3.86/4.04 tff(11849,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11850,plain,
% 3.86/4.04 (((~b(s(s(s(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11851,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[11850])).
% 3.86/4.04 tff(11852,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[11851, 11849])).
% 3.86/4.04 tff(11853,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(11854,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 3.86/4.04 tff(11855,plain,
% 3.86/4.04 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11854, 91, 76, 11831, 11848])).
% 3.86/4.04 tff(11856,plain,
% 3.86/4.04 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11855, 11829])).
% 3.86/4.04 tff(11857,plain,
% 3.86/4.04 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1313, 11856])).
% 3.86/4.04 tff(11858,plain,
% 3.86/4.04 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11661, 11857, 765, 11833, 11821])).
% 3.86/4.04 tff(11859,plain,
% 3.86/4.04 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[542, 11858])).
% 3.86/4.04 tff(11860,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[7939, 11859, 11839, 565, 76])).
% 3.86/4.04 tff(11861,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(11862,plain,
% 3.86/4.04 (~b(s(z), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11861, 765, 76, 269, 80, 72])).
% 3.86/4.04 tff(11863,plain,
% 3.86/4.04 (r(s(z), s(s(s(s(z)))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[563, 11862])).
% 3.86/4.04 tff(11864,plain,
% 3.86/4.04 (~b(s(s(s(s(s(z))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[10894, 11863, 76, 72, 11744, 80])).
% 3.86/4.04 tff(11865,plain,
% 3.86/4.04 (r(s(s(s(s(s(z))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[427, 11864])).
% 3.86/4.04 tff(11866,plain,
% 3.86/4.04 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11846, 11865])).
% 3.86/4.04 tff(11867,plain,
% 3.86/4.04 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[246, 11866])).
% 3.86/4.04 tff(11868,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[9665, 11863, 80, 11821])).
% 3.86/4.04 tff(11869,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[201, 11868])).
% 3.86/4.04 tff(11870,plain,
% 3.86/4.04 (~r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[6989, 125, 11863, 11865, 11821, 11744])).
% 3.86/4.04 tff(11871,plain,
% 3.86/4.04 (b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[394, 11870])).
% 3.86/4.04 tff(11872,plain,
% 3.86/4.04 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[6730, 11871, 11831, 11869, 11867, 76])).
% 3.86/4.04 tff(11873,plain,
% 3.86/4.04 (~r(s(z), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[144, 11863, 11215, 11744])).
% 3.86/4.04 tff(11874,plain,
% 3.86/4.04 (b(s(z), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[163, 11873])).
% 3.86/4.04 tff(11875,plain,
% 3.86/4.04 (~b(z, s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[5950, 176, 77, 81])).
% 3.86/4.04 tff(11876,plain,
% 3.86/4.04 (r(z, s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[267, 11875])).
% 3.86/4.04 tff(11877,plain,
% 3.86/4.04 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[8598, 11876, 135, 215, 80])).
% 3.86/4.04 tff(11878,plain,
% 3.86/4.04 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[542, 11877])).
% 3.86/4.04 tff(11879,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11006, 11876, 269, 80, 215])).
% 3.86/4.04 tff(11880,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[201, 11879])).
% 3.86/4.04 tff(11881,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11882,plain,
% 3.86/4.04 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11883,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[11882])).
% 3.86/4.04 tff(11884,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[11883, 11881])).
% 3.86/4.04 tff(11885,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(11886,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 3.86/4.04 tff(11887,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11886, 91, 77, 76, 176, 11880, 11878])).
% 3.86/4.04 tff(11888,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(11889,plain,
% 3.86/4.04 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11888, 11871, 76, 11874, 11863, 80, 269, 11831])).
% 3.86/4.04 tff(11890,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1093, 11889, 11872])).
% 3.86/4.04 tff(11891,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(11892,plain,
% 3.86/4.04 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11891, 76, 80, 269, 72])).
% 3.86/4.04 tff(11893,plain,
% 3.86/4.04 (b(s(s(s(s(s(s(z)))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[763, 11892])).
% 3.86/4.04 tff(11894,plain,
% 3.86/4.04 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[4121, 10831, 72, 11893])).
% 3.86/4.04 tff(11895,plain,
% 3.86/4.04 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[542, 11894])).
% 3.86/4.04 tff(11896,plain,
% 3.86/4.04 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), 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)))), s(z)))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11897,plain,
% 3.86/4.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[11896])).
% 3.86/4.04 tff(11898,plain,
% 3.86/4.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.86/4.04 inference(transitivity,[status(thm)],[11897, 7590])).
% 3.86/4.04 tff(11899,plain,
% 3.86/4.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), 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)))), s(z))))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(11900,plain,
% 3.86/4.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[11899, 11898])).
% 3.86/4.04 tff(11901,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11900, 125, 544, 11895, 269])).
% 3.86/4.04 tff(11902,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[336, 11901])).
% 3.86/4.04 tff(11903,plain,
% 3.86/4.04 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[8762, 11902, 75, 76, 80])).
% 3.86/4.04 tff(11904,plain,
% 3.86/4.04 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[246, 11903])).
% 3.86/4.04 tff(11905,plain,
% 3.86/4.04 (~r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[6788, 11904, 11895, 269])).
% 3.86/4.04 tff(11906,plain,
% 3.86/4.04 (b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[394, 11905])).
% 3.86/4.04 tff(11907,plain,
% 3.86/4.04 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.86/4.04 inference(rewrite,[status(thm)],[])).
% 3.86/4.04 tff(11908,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 3.86/4.04 inference(monotonicity,[status(thm)],[11907])).
% 3.86/4.04 tff(11909,plain,
% 3.86/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.86/4.04 inference(transitivity,[status(thm)],[11908, 10841])).
% 3.86/4.04 tff(11910,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.86/4.04 inference(quant_inst,[status(thm)],[])).
% 3.86/4.04 tff(11911,plain,
% 3.86/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 3.86/4.04 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 3.86/4.04 tff(11912,plain,
% 3.86/4.04 (~b(s(s(s(s(s(z))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11911, 91, 11906, 10831, 72])).
% 3.86/4.04 tff(11913,plain,
% 3.86/4.04 (r(s(s(s(s(s(z))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[427, 11912])).
% 3.86/4.04 tff(11914,plain,
% 3.86/4.04 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[133, 73, 80, 75])).
% 3.86/4.04 tff(11915,plain,
% 3.86/4.04 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[689, 11914])).
% 3.86/4.04 tff(11916,plain,
% 3.86/4.04 (~r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[738, 11086, 135, 544])).
% 3.86/4.04 tff(11917,plain,
% 3.86/4.04 (b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[394, 11916])).
% 3.86/4.04 tff(11918,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[10922, 11090, 11917, 76, 72, 669, 348])).
% 3.86/4.04 tff(11919,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(11920,plain,
% 3.86/4.04 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11919, 11915, 72, 76, 80, 71, 135, 544])).
% 3.86/4.04 tff(11921,plain,
% 3.86/4.04 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[8766, 203, 76, 75, 80])).
% 3.86/4.04 tff(11922,plain,
% 3.86/4.04 (b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1093, 11921])).
% 3.86/4.04 tff(11923,plain,
% 3.86/4.04 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[4030, 203, 75, 71])).
% 3.86/4.04 tff(11924,plain,
% 3.86/4.04 (b(s(s(s(s(s(s(z)))))), z)),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[763, 11923])).
% 3.86/4.04 tff(11925,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[5392, 11924, 11922, 76, 74])).
% 3.86/4.04 tff(11926,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.04 tff(11927,plain,
% 3.86/4.04 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[11926, 10701, 76, 75, 71, 80])).
% 3.86/4.04 tff(11928,plain,
% 3.86/4.04 ($false),
% 3.86/4.04 inference(unit_resolution,[status(thm)],[1313, 11927, 11920])).
% 3.86/4.05 tff(11929,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(11930,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11929, 11913, 75, 76, 80, 72, 135, 544])).
% 3.86/4.05 tff(11931,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[369, 11930])).
% 3.86/4.05 tff(11932,plain,
% 3.86/4.05 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[5811, 11931, 76, 11902, 11904])).
% 3.86/4.05 tff(11933,plain,
% 3.86/4.05 (r(s(s(z)), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4476, 11932])).
% 3.86/4.05 tff(11934,plain,
% 3.86/4.05 (~r(s(s(z)), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[5819, 125, 544, 135, 11933])).
% 3.86/4.05 tff(11935,plain,
% 3.86/4.05 (b(s(s(z)), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[857, 11934])).
% 3.86/4.05 tff(11936,plain,
% 3.86/4.05 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(11937,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[11936])).
% 3.86/4.05 tff(11938,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 3.86/4.05 inference(transitivity,[status(thm)],[11937, 979])).
% 3.86/4.05 tff(11939,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 3.86/4.05 inference(quant_inst,[status(thm)],[])).
% 3.86/4.05 tff(11940,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[11939, 11938])).
% 3.86/4.05 tff(11941,plain,
% 3.86/4.05 (~b(s(s(z)), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11940, 91, 10831, 72, 11935])).
% 3.86/4.05 tff(11942,plain,
% 3.86/4.05 (r(s(s(z)), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[898, 11941])).
% 3.86/4.05 tff(11943,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[9169, 11942, 80, 11933])).
% 3.86/4.05 tff(11944,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[314, 11943])).
% 3.86/4.05 tff(11945,plain,
% 3.86/4.05 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11231, 11944, 76, 10831, 11906, 11931])).
% 3.86/4.05 tff(11946,plain,
% 3.86/4.05 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11926, 11944, 76, 75, 11913, 80])).
% 3.86/4.05 tff(11947,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1313, 11946, 11945])).
% 3.86/4.05 tff(11948,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(11949,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11948, 75, 76, 80, 72, 135, 269])).
% 3.86/4.05 tff(11950,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[201, 11949])).
% 3.86/4.05 tff(11951,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8976, 71, 80, 1020])).
% 3.86/4.05 tff(11952,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[369, 11951])).
% 3.86/4.05 tff(11953,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1293, 71, 75, 1020])).
% 3.86/4.05 tff(11954,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 11953])).
% 3.86/4.05 tff(11955,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6871, 11954, 11952, 348, 76])).
% 3.86/4.05 tff(11956,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(11957,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11956, 348, 76, 75, 1020, 80])).
% 3.86/4.05 tff(11958,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[427, 11957])).
% 3.86/4.05 tff(11959,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10894, 11958, 76, 72, 135, 80])).
% 3.86/4.05 tff(11960,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[369, 11959])).
% 3.86/4.05 tff(11961,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6871, 11960, 348, 76])).
% 3.86/4.05 tff(11962,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 11961])).
% 3.86/4.05 tff(11963,plain,
% 3.86/4.05 (~r(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11427, 125, 75, 135, 80, 11962])).
% 3.86/4.05 tff(11964,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8762, 298, 75, 76, 80])).
% 3.86/4.05 tff(11965,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[336, 11964])).
% 3.86/4.05 tff(11966,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10817, 298, 348, 76])).
% 3.86/4.05 tff(11967,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 11966])).
% 3.86/4.05 tff(11968,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1293, 11967, 75, 1020])).
% 3.86/4.05 tff(11969,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[427, 11968])).
% 3.86/4.05 tff(11970,plain,
% 3.86/4.05 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[5484, 11969, 348, 298])).
% 3.86/4.05 tff(11971,plain,
% 3.86/4.05 (r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1093, 11970])).
% 3.86/4.05 tff(11972,plain,
% 3.86/4.05 (~r(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8588, 11971, 80, 11965, 135])).
% 3.86/4.05 tff(11973,plain,
% 3.86/4.05 (b(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[267, 11972])).
% 3.86/4.05 tff(11974,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11911, 91, 77, 11969, 11973, 72])).
% 3.86/4.05 tff(11975,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(11976,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11975, 348, 72, 80, 135, 77, 75, 1020, 76])).
% 3.86/4.05 tff(11977,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[246, 11976])).
% 3.86/4.05 tff(11978,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1146, 11962, 75, 1020, 11977])).
% 3.86/4.05 tff(11979,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[336, 11978])).
% 3.86/4.05 tff(11980,plain,
% 3.86/4.05 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11219, 11979, 80, 75, 11962, 76])).
% 3.86/4.05 tff(11981,plain,
% 3.86/4.05 (b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1093, 11980])).
% 3.86/4.05 tff(11982,plain,
% 3.86/4.05 (~b(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11448, 91, 77, 11958, 11981, 72])).
% 3.86/4.05 tff(11983,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[267, 11982, 11963])).
% 3.86/4.05 tff(11984,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(11985,plain,
% 3.86/4.05 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11984, 77, 72, 75, 135, 80, 76, 1020])).
% 3.86/4.05 tff(11986,plain,
% 3.86/4.05 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1313, 11985])).
% 3.86/4.05 tff(11987,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10894, 79, 76, 72, 135, 80])).
% 3.86/4.05 tff(11988,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[369, 11987])).
% 3.86/4.05 tff(11989,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6126, 669, 11988, 76])).
% 3.86/4.05 tff(11990,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[246, 11989])).
% 3.86/4.05 tff(11991,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4355, 77, 669, 176])).
% 3.86/4.05 tff(11992,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[201, 11991])).
% 3.86/4.05 tff(11993,plain,
% 3.86/4.05 (~r(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[9665, 11992, 80, 135])).
% 3.86/4.05 tff(11994,plain,
% 3.86/4.05 (b(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[267, 11993])).
% 3.86/4.05 tff(11995,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11448, 91, 77, 79, 11994, 1073, 72])).
% 3.86/4.05 tff(11996,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(11997,plain,
% 3.86/4.05 (~b(s(z), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11996, 669, 1073, 72, 80, 77, 135, 79])).
% 3.86/4.05 tff(11998,plain,
% 3.86/4.05 (r(s(z), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[163, 11997])).
% 3.86/4.05 tff(11999,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[7805, 11998, 11990, 203, 269])).
% 3.86/4.05 tff(12000,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(12001,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12000, 79, 269, 11922, 72, 80, 77, 135, 203, 76])).
% 3.86/4.05 tff(12002,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 12001])).
% 3.86/4.05 tff(12003,plain,
% 3.86/4.05 ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z)))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11448, 91, 77, 11922, 72])).
% 3.86/4.05 tff(12004,plain,
% 3.86/4.05 (~b(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12003, 79])).
% 3.86/4.05 tff(12005,plain,
% 3.86/4.05 (r(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[267, 12004])).
% 3.86/4.05 tff(12006,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11427, 125, 75, 135, 12005, 80, 12002])).
% 3.86/4.05 tff(12007,plain,((~b(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(12008,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12007, 77, 135, 80, 269, 72, 75, 11986, 76])).
% 3.86/4.05 tff(12009,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[427, 12008])).
% 3.86/4.05 tff(12010,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8976, 12009, 80, 1020])).
% 3.86/4.05 tff(12011,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[369, 12010])).
% 3.86/4.05 tff(12012,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1293, 12009, 75, 1020])).
% 3.86/4.05 tff(12013,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 12012])).
% 3.86/4.05 tff(12014,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6126, 12013, 12011, 76])).
% 3.86/4.05 tff(12015,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[246, 12014])).
% 3.86/4.05 tff(12016,plain,
% 3.86/4.05 (~b(s(z), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4355, 12013, 11950, 77])).
% 3.86/4.05 tff(12017,plain,
% 3.86/4.05 (r(s(z), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[163, 12016])).
% 3.86/4.05 tff(12018,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[7805, 12017, 12015, 11986, 269])).
% 3.86/4.05 tff(12019,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(12020,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12019, 1020, 76, 75, 269, 80, 135, 72])).
% 3.86/4.05 tff(12021,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[394, 12020])).
% 3.86/4.05 tff(12022,plain,
% 3.86/4.05 (~r(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10856, 125, 12021, 75, 135, 80])).
% 3.86/4.05 tff(12023,plain,
% 3.86/4.05 (b(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[267, 12022])).
% 3.86/4.05 tff(12024,plain,
% 3.86/4.05 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[4121, 12023, 72, 11893])).
% 3.86/4.05 tff(12025,plain,
% 3.86/4.05 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[542, 12024])).
% 3.86/4.05 tff(12026,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6788, 12025, 12021, 269])).
% 3.86/4.05 tff(12027,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[246, 12026])).
% 3.86/4.05 tff(12028,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6126, 11954, 11952, 298, 76])).
% 3.86/4.05 tff(12029,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(12030,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12029, 12027, 76, 75, 1020, 80])).
% 3.86/4.05 tff(12031,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[427, 12030])).
% 3.86/4.05 tff(12032,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10894, 12031, 76, 72, 135, 80])).
% 3.86/4.05 tff(12033,plain,
% 3.86/4.05 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[369, 12032])).
% 3.86/4.05 tff(12034,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(12035,plain,
% 3.86/4.05 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.86/4.05 inference(rewrite,[status(thm)],[])).
% 3.86/4.05 tff(12036,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 3.86/4.05 inference(monotonicity,[status(thm)],[12035])).
% 3.86/4.05 tff(12037,plain,
% 3.86/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.86/4.05 inference(transitivity,[status(thm)],[12036, 12034])).
% 3.86/4.05 tff(12038,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.05 inference(quant_inst,[status(thm)],[])).
% 3.86/4.05 tff(12039,plain,
% 3.86/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.86/4.05 inference(modus_ponens,[status(thm)],[12038, 12037])).
% 3.86/4.05 tff(12040,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12039, 91, 76, 11950, 72, 11893, 12033, 12027])).
% 3.86/4.05 tff(12041,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(12042,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12041, 75, 72, 135, 80, 76, 269])).
% 3.86/4.05 tff(12043,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[314, 12042])).
% 3.86/4.05 tff(12044,plain,
% 3.86/4.05 (~b(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8578, 12043, 72, 11950])).
% 3.86/4.05 tff(12045,plain,
% 3.86/4.05 (r(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[267, 12044])).
% 3.86/4.05 tff(12046,plain,
% 3.86/4.05 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[5392, 12043, 76, 11893])).
% 3.86/4.05 tff(12047,plain,
% 3.86/4.05 (r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1093, 12046])).
% 3.86/4.05 tff(12048,plain,
% 3.86/4.05 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8766, 12047, 76, 75, 80])).
% 3.86/4.05 tff(12049,plain,
% 3.86/4.05 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1313, 12048])).
% 3.86/4.05 tff(12050,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8588, 12045, 80, 12047, 135])).
% 3.86/4.05 tff(12051,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[336, 12050])).
% 3.86/4.05 tff(12052,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11219, 12051, 80, 75, 12047, 76])).
% 3.86/4.05 tff(12053,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 12052])).
% 3.86/4.05 tff(12054,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10922, 12053, 76, 72, 12043, 12049])).
% 3.86/4.05 tff(12055,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[394, 12054])).
% 3.86/4.05 tff(12056,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10856, 125, 12055, 75, 135, 12045, 80])).
% 3.86/4.05 tff(12057,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(12058,plain,
% 3.86/4.05 (~r(z, s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12057, 135, 80, 76, 72, 269])).
% 3.86/4.05 tff(12059,plain,
% 3.86/4.05 (b(z, s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[113, 12058])).
% 3.86/4.05 tff(12060,plain,
% 3.86/4.05 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[5392, 74, 76, 11893])).
% 3.86/4.05 tff(12061,plain,
% 3.86/4.05 (r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[1093, 12060])).
% 3.86/4.05 tff(12062,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8588, 270, 80, 12061, 135])).
% 3.86/4.05 tff(12063,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[336, 12062])).
% 3.86/4.05 tff(12064,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10156, 12063, 12059, 76, 74, 11893])).
% 3.86/4.05 tff(12065,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[369, 12064])).
% 3.86/4.05 tff(12066,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[10894, 12065, 76, 72, 135, 80])).
% 3.86/4.05 tff(12067,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), z)),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[427, 12066])).
% 3.86/4.05 tff(12068,plain,
% 3.86/4.05 (~r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6991, 12067, 135, 12065, 270])).
% 3.86/4.05 tff(12069,plain,
% 3.86/4.05 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8598, 270, 12061, 135, 80])).
% 3.86/4.05 tff(12070,plain,
% 3.86/4.05 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[542, 12069])).
% 3.86/4.05 tff(12071,plain,
% 3.86/4.05 (~r(s(s(s(s(z)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[9665, 270, 80, 135])).
% 3.86/4.05 tff(12072,plain,
% 3.86/4.05 (b(s(s(s(s(z)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[201, 12071])).
% 3.86/4.05 tff(12073,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6861, 12072, 76, 72, 12059, 12070])).
% 3.86/4.05 tff(12074,plain,
% 3.86/4.05 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[689, 12073])).
% 3.86/4.05 tff(12075,plain,
% 3.86/4.05 (~r(s(z), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[144, 12065, 135, 12074])).
% 3.86/4.05 tff(12076,plain,
% 3.86/4.05 (b(s(z), s(s(s(s(s(z))))))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[163, 12075])).
% 3.86/4.05 tff(12077,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[11888, 12076, 76, 12059, 135, 80, 269, 12061])).
% 3.86/4.05 tff(12078,plain,
% 3.86/4.05 ($false),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[394, 12077, 12068])).
% 3.86/4.05 tff(12079,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.05 tff(12080,plain,
% 3.86/4.05 (~r(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[12079, 74, 135, 80, 269, 72, 76])).
% 3.86/4.05 tff(12081,plain,
% 3.86/4.05 (b(z, s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[267, 12080])).
% 3.86/4.05 tff(12082,plain,
% 3.86/4.05 (~b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[6553, 12081, 12059, 72])).
% 3.86/4.05 tff(12083,plain,
% 3.86/4.05 (r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[394, 12082])).
% 3.86/4.05 tff(12084,plain,
% 3.86/4.05 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.05 inference(unit_resolution,[status(thm)],[8578, 12081, 72, 74])).
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% 3.86/4.05 inference(unit_resolution,[status(thm)],[4355, 177, 669, 176])).
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% 3.86/4.06 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
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% 3.86/4.06 tff(12166,plain,
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% 3.86/4.06 tff(12168,plain,
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% 3.86/4.06 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), 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(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
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% 3.86/4.06 inference(monotonicity,[status(thm)],[12173])).
% 3.86/4.06 tff(12175,plain,
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% 3.86/4.06 tff(12193,plain,
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% 3.86/4.06 tff(12194,plain,
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% 3.86/4.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
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% 3.86/4.06 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
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% 3.86/4.06 inference(monotonicity,[status(thm)],[12196])).
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% 3.86/4.06 inference(transitivity,[status(thm)],[12197, 12195])).
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% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
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% 3.86/4.06 tff(12214,plain,
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% 3.86/4.06 tff(12215,plain,
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% 3.86/4.06 tff(12216,plain,
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% 3.86/4.06 inference(unit_resolution,[status(thm)],[1313, 12215])).
% 3.86/4.06 tff(12217,plain,
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% 3.86/4.06 tff(12218,plain,
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% 3.86/4.06 tff(12220,plain,
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% 3.86/4.06 tff(12221,plain,
% 3.86/4.06 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[11020, 12220, 565, 76, 669, 298])).
% 3.86/4.06 tff(12222,plain,
% 3.86/4.06 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[201, 12221])).
% 3.86/4.06 tff(12223,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(12224,plain,
% 3.86/4.06 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(12225,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 3.86/4.06 inference(monotonicity,[status(thm)],[12224])).
% 3.86/4.06 tff(12226,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.86/4.06 inference(transitivity,[status(thm)],[12225, 12223])).
% 3.86/4.06 tff(12227,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.86/4.06 inference(quant_inst,[status(thm)],[])).
% 3.86/4.06 tff(12228,plain,
% 3.86/4.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 3.86/4.06 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 3.86/4.06 tff(12229,plain,
% 3.86/4.06 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[12228, 91, 565, 12220, 669, 298])).
% 3.86/4.06 tff(12230,plain,
% 3.86/4.06 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[369, 12229])).
% 3.86/4.06 tff(12231,plain,
% 3.86/4.06 (~r(s(s(s(s(s(z))))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[9839, 12230, 71, 80, 12222])).
% 3.86/4.06 tff(12232,plain,
% 3.86/4.06 (b(s(s(s(s(s(z))))), s(z))),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[394, 12231])).
% 3.86/4.06 tff(12233,plain,
% 3.86/4.06 ($false),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[6300, 91, 12232, 565, 12220, 669])).
% 3.86/4.06 tff(12234,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.06 tff(12235,plain,
% 3.86/4.06 (~r(s(s(s(s(s(z))))), z)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[12234, 298, 669, 12212, 565, 76, 411, 1203])).
% 3.86/4.06 tff(12236,plain,
% 3.86/4.06 (b(s(s(s(s(s(z))))), z)),
% 3.86/4.06 inference(unit_resolution,[status(thm)],[427, 12235])).
% 3.86/4.06 tff(12237,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(12238,plain,
% 3.86/4.06 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.86/4.06 inference(rewrite,[status(thm)],[])).
% 3.86/4.06 tff(12239,plain,
% 3.86/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[12238])).
% 3.86/4.07 tff(12240,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[12239, 12237])).
% 3.86/4.07 tff(12241,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.07 inference(quant_inst,[status(thm)],[])).
% 3.86/4.07 tff(12242,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[12241, 12240])).
% 3.86/4.07 tff(12243,plain,
% 3.86/4.07 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12242, 91, 76, 12236, 12218, 298])).
% 3.86/4.07 tff(12244,plain,
% 3.86/4.07 (r(s(s(s(s(s(s(z)))))), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[763, 12243])).
% 3.86/4.07 tff(12245,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12246,plain,
% 3.86/4.07 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12247,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[12246])).
% 3.86/4.07 tff(12248,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 3.86/4.07 inference(transitivity,[status(thm)],[12247, 12245])).
% 3.86/4.07 tff(12249,plain,
% 3.86/4.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 3.86/4.07 inference(quant_inst,[status(thm)],[])).
% 3.86/4.07 tff(12250,plain,
% 3.86/4.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 3.86/4.07 tff(12251,plain,
% 3.86/4.07 ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12250, 125, 1203, 12216, 411])).
% 3.86/4.07 tff(12252,plain,
% 3.86/4.07 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12251, 12244])).
% 3.86/4.07 tff(12253,plain,
% 3.86/4.07 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[542, 12252])).
% 3.86/4.07 tff(12254,plain,
% 3.86/4.07 (~b(s(s(s(s(z)))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[7939, 12253, 565, 76])).
% 3.86/4.07 tff(12255,plain,
% 3.86/4.07 (r(s(s(s(s(z)))), s(z))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[201, 12254])).
% 3.86/4.07 tff(12256,plain,
% 3.86/4.07 (b(s(s(s(s(z)))), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[314, 308])).
% 3.86/4.07 tff(12257,plain,
% 3.86/4.07 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1313, 1306])).
% 3.86/4.07 tff(12258,plain,
% 3.86/4.07 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[8754, 347, 12212, 1203, 12257])).
% 3.86/4.07 tff(12259,plain,
% 3.86/4.07 (b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1093, 12258])).
% 3.86/4.07 tff(12260,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12261,plain,
% 3.86/4.07 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(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(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12262,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[12261])).
% 3.86/4.07 tff(12263,plain,
% 3.86/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[12262, 12260])).
% 3.86/4.07 tff(12264,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))),
% 3.86/4.07 inference(quant_inst,[status(thm)],[])).
% 3.86/4.07 tff(12265,plain,
% 3.86/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 3.86/4.07 tff(12266,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12265, 91, 76, 565, 1073, 74, 526, 297])).
% 3.86/4.07 tff(12267,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(12268,plain,
% 3.86/4.07 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12267, 12259, 565, 76, 12256, 526])).
% 3.86/4.07 tff(12269,plain,
% 3.86/4.07 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[295, 12268])).
% 3.86/4.07 tff(12270,plain,
% 3.86/4.07 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[8754, 347, 80, 75, 12257])).
% 3.86/4.07 tff(12271,plain,
% 3.86/4.07 (b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1093, 12270])).
% 3.86/4.07 tff(12272,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))), introduced(assumption)).
% 3.86/4.07 tff(12273,plain,
% 3.86/4.07 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[1414])).
% 3.86/4.07 tff(12274,plain,
% 3.86/4.07 (b(s(s(s(s(s(s(z)))))), s(s(elem!1))) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.86/4.07 inference(symmetry,[status(thm)],[12273])).
% 3.86/4.07 tff(12275,plain,
% 3.86/4.07 ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) <=> (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[12274])).
% 3.86/4.07 tff(12276,plain,
% 3.86/4.07 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[12272, 12275])).
% 3.86/4.07 tff(12277,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[76, 12276])).
% 3.86/4.07 tff(12278,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(12279,plain,
% 3.86/4.07 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12278, 12272, 76])).
% 3.86/4.07 tff(12280,assumption,(s(s(elem!1)) = s(s(s(s(z))))), introduced(assumption)).
% 3.86/4.07 tff(12281,plain,
% 3.86/4.07 (s(s(s(s(z)))) = s(s(elem!1))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[12280, 2567])).
% 3.86/4.07 tff(12282,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1756, 12281])).
% 3.86/4.07 tff(12283,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(12284,plain,
% 3.86/4.07 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12283, 12279])).
% 3.86/4.07 tff(12285,plain,
% 3.86/4.07 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[8754, 347, 80, 75, 203])).
% 3.86/4.07 tff(12286,plain,
% 3.86/4.07 (b(z, s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1093, 12285])).
% 3.86/4.07 tff(12287,plain,
% 3.86/4.07 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12267, 12286, 565, 76, 12256, 526])).
% 3.86/4.07 tff(12288,plain,
% 3.86/4.07 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[295, 12287])).
% 3.86/4.07 tff(12289,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12290,plain,
% 3.86/4.07 (((~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z))) <=> ((~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12291,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[12290])).
% 3.86/4.07 tff(12292,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[12291, 12289])).
% 3.86/4.07 tff(12293,plain,
% 3.86/4.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z)))),
% 3.86/4.07 inference(quant_inst,[status(thm)],[])).
% 3.86/4.07 tff(12294,plain,
% 3.86/4.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 3.86/4.07 tff(12295,plain,
% 3.86/4.07 (~r(s(z), s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12294, 125, 1376, 1853, 411])).
% 3.86/4.07 tff(12296,plain,
% 3.86/4.07 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1397, 12295, 269])).
% 3.86/4.07 tff(12297,plain,
% 3.86/4.07 (~(s(s(s(s(z)))) = elem!1)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1427, 12296])).
% 3.86/4.07 tff(12298,plain,
% 3.86/4.07 (~(elem!1 = s(s(s(s(z)))))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1435, 12297])).
% 3.86/4.07 tff(12299,plain,
% 3.86/4.07 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1448, 12298])).
% 3.86/4.07 tff(12300,plain,
% 3.86/4.07 (r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1453, 12299, 12272])).
% 3.86/4.07 tff(12301,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12302,plain,
% 3.86/4.07 (((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12303,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1))))))),
% 3.86/4.07 inference(monotonicity,[status(thm)],[12302])).
% 3.86/4.07 tff(12304,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1)))))),
% 3.86/4.07 inference(transitivity,[status(thm)],[12303, 12301])).
% 3.86/4.07 tff(12305,plain,
% 3.86/4.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))),
% 3.86/4.07 inference(quant_inst,[status(thm)],[])).
% 3.86/4.07 tff(12306,plain,
% 3.86/4.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(z, s(s(elem!1))))),
% 3.86/4.07 inference(modus_ponens,[status(thm)],[12305, 12304])).
% 3.86/4.07 tff(12307,plain,
% 3.86/4.07 ($false),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12306, 125, 765, 12300, 1376, 1853])).
% 3.86/4.07 tff(12308,plain,((~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | b(s(s(s(s(s(s(z)))))), s(s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.07 tff(12309,plain,
% 3.86/4.07 (~r(s(s(elem!1)), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[12308, 12272, 1376, 765, 12288, 411])).
% 3.86/4.07 tff(12310,plain,
% 3.86/4.07 (b(s(s(elem!1)), z)),
% 3.86/4.07 inference(unit_resolution,[status(thm)],[1872, 12309])).
% 3.86/4.07 tff(12311,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12312,plain,
% 3.86/4.07 (((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 3.86/4.07 inference(rewrite,[status(thm)],[])).
% 3.86/4.07 tff(12313,plain,
% 3.86/4.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12312])).
% 3.86/4.08 tff(12314,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[12313, 12311])).
% 3.86/4.08 tff(12315,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(12316,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 3.86/4.08 tff(12317,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12316, 125, 765, 1376, 1379, 411, 269])).
% 3.86/4.08 tff(12318,plain,((~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(12319,plain,
% 3.86/4.08 (~r(s(z), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12318, 1376, 765, 411, 12288])).
% 3.86/4.08 tff(12320,plain,
% 3.86/4.08 (b(s(z), s(s(elem!1))) | r(s(z), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1402, 1335])).
% 3.86/4.08 tff(12321,plain,
% 3.86/4.08 (b(s(z), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12320, 12319])).
% 3.86/4.08 tff(12322,plain,
% 3.86/4.08 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1397, 12319, 12288])).
% 3.86/4.08 tff(12323,plain,
% 3.86/4.08 (~(s(s(s(s(z)))) = elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1427, 12322])).
% 3.86/4.08 tff(12324,plain,
% 3.86/4.08 (~(elem!1 = s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1435, 12323])).
% 3.86/4.08 tff(12325,plain,
% 3.86/4.08 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1448, 12324])).
% 3.86/4.08 tff(12326,plain,
% 3.86/4.08 (r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1453, 12272, 12325])).
% 3.86/4.08 tff(12327,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12328,plain,
% 3.86/4.08 (((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), 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)))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12329,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12328])).
% 3.86/4.08 tff(12330,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[12329, 12327])).
% 3.86/4.08 tff(12331,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), 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)))), s(z))))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(12332,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[12331, 12330])).
% 3.86/4.08 tff(12333,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12332, 125, 1854, 1404, 544, 347, 269])).
% 3.86/4.08 tff(12334,plain,((~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(12335,plain,
% 3.86/4.08 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12334, 12326, 544, 347, 12288])).
% 3.86/4.08 tff(12336,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1851, 12335, 12279])).
% 3.86/4.08 tff(12337,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12338,plain,
% 3.86/4.08 (((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~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(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(elem!1)), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12339,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~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(X1, 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(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12338])).
% 3.86/4.08 tff(12340,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~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(X1, 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(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[12339, 12337])).
% 3.86/4.08 tff(12341,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~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)))))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(12342,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1))))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 3.86/4.08 tff(12343,plain,
% 3.86/4.08 (~b(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12342, 91, 12336, 565, 12321, 12310])).
% 3.86/4.08 tff(12344,plain,
% 3.86/4.08 (r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[2601, 12343, 12284])).
% 3.86/4.08 tff(12345,assumption,(r(s(s(s(s(s(z))))), s(s(elem!1)))), introduced(assumption)).
% 3.86/4.08 tff(12346,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12347,plain,
% 3.86/4.08 (((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12348,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12347])).
% 3.86/4.08 tff(12349,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[12348, 12346])).
% 3.86/4.08 tff(12350,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(s(s(z))))))))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(12351,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 3.86/4.08 tff(12352,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12351, 125, 75, 2613, 1376, 80, 12345])).
% 3.86/4.08 tff(12353,plain,((~r(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(z, s(s(s(s(s(z))))))) | (~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,[]))).
% 3.86/4.08 tff(12354,plain,
% 3.86/4.08 (~r(s(s(s(s(s(z))))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12353, 12344, 75, 1376, 80])).
% 3.86/4.08 tff(12355,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12356,plain,
% 3.86/4.08 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~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(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12357,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12356])).
% 3.86/4.08 tff(12358,plain,
% 3.86/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[12357, 12355])).
% 3.86/4.08 tff(12359,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(12360,plain,
% 3.86/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[12359, 12358])).
% 3.86/4.08 tff(12361,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12360, 125, 75, 2613, 1376, 80, 115])).
% 3.86/4.08 tff(12362,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~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,[]))).
% 3.86/4.08 tff(12363,plain,
% 3.86/4.08 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12362, 12344, 75, 1376, 80])).
% 3.86/4.08 tff(12364,plain,
% 3.86/4.08 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[689, 12363])).
% 3.86/4.08 tff(12365,assumption,(b(s(s(s(s(s(z))))), s(s(elem!1)))), introduced(assumption)).
% 3.86/4.08 tff(12366,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12367,plain,
% 3.86/4.08 (((~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.86/4.08 inference(rewrite,[status(thm)],[])).
% 3.86/4.08 tff(12368,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12367])).
% 3.86/4.08 tff(12369,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.86/4.08 inference(transitivity,[status(thm)],[12368, 12366])).
% 3.86/4.08 tff(12370,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))),
% 3.86/4.08 inference(quant_inst,[status(thm)],[])).
% 3.86/4.08 tff(12371,plain,
% 3.86/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 3.86/4.08 tff(12372,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12371, 91, 76, 565, 669, 1737, 526, 12365])).
% 3.86/4.08 tff(12373,plain,((~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(12374,plain,
% 3.86/4.08 (~b(s(s(s(s(s(z))))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12373, 12364, 565, 76, 12321, 526])).
% 3.86/4.08 tff(12375,plain,
% 3.86/4.08 ((s(s(s(s(s(z))))) = s(s(elem!1))) | r(s(s(s(s(s(z))))), s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1884, 64, 12374])).
% 3.86/4.08 tff(12376,plain,
% 3.86/4.08 (s(s(s(s(s(z))))) = s(s(elem!1))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12375, 12354])).
% 3.86/4.08 tff(12377,plain,
% 3.86/4.08 (s(elem!1) = s(s(s(s(z))))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1763, 12376])).
% 3.86/4.08 tff(12378,plain,
% 3.86/4.08 (inj_0(s(elem!1)) = inj_0(s(s(s(s(z)))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12377])).
% 3.86/4.08 tff(12379,plain,
% 3.86/4.08 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 3.86/4.08 inference(symmetry,[status(thm)],[12378])).
% 3.86/4.08 tff(12380,plain,
% 3.86/4.08 (s(s(s(z))) = elem!1),
% 3.86/4.08 inference(transitivity,[status(thm)],[20, 12379, 1443])).
% 3.86/4.08 tff(12381,plain,
% 3.86/4.08 (r(s(z), s(s(s(z)))) <=> r(s(z), elem!1)),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12380])).
% 3.86/4.08 tff(12382,plain,
% 3.86/4.08 (r(s(z), elem!1) <=> r(s(z), s(s(s(z))))),
% 3.86/4.08 inference(symmetry,[status(thm)],[12381])).
% 3.86/4.08 tff(12383,plain,
% 3.86/4.08 (s(s(s(s(z)))) = s(elem!1)),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[12377, 1378])).
% 3.86/4.08 tff(12384,plain,
% 3.86/4.08 (~(elem!1 = s(z))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[2020, 12383])).
% 3.86/4.08 tff(12385,plain,
% 3.86/4.08 (~(s(z) = elem!1)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[2028, 12384])).
% 3.86/4.08 tff(12386,plain,
% 3.86/4.08 (b(s(z), s(s(s(z)))) <=> b(s(z), elem!1)),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12380])).
% 3.86/4.08 tff(12387,plain,
% 3.86/4.08 ((~b(s(z), s(s(s(z))))) <=> (~b(s(z), elem!1))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12386])).
% 3.86/4.08 tff(12388,plain,
% 3.86/4.08 (s(s(elem!1)) = s(s(s(s(s(z)))))),
% 3.86/4.08 inference(symmetry,[status(thm)],[12376])).
% 3.86/4.08 tff(12389,plain,
% 3.86/4.08 (b(s(s(s(z))), s(s(elem!1))) <=> b(s(s(s(z))), s(s(s(s(s(z))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12388])).
% 3.86/4.08 tff(12390,plain,
% 3.86/4.08 (b(s(s(s(z))), s(s(s(s(s(z)))))) <=> b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.08 inference(symmetry,[status(thm)],[12389])).
% 3.86/4.08 tff(12391,plain,
% 3.86/4.08 (b(s(s(s(z))), s(s(s(s(s(z)))))) <=> b(elem!1, s(s(elem!1)))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12380, 12376])).
% 3.86/4.08 tff(12392,plain,
% 3.86/4.08 (b(elem!1, s(s(elem!1))) <=> b(s(s(s(z))), s(s(s(s(s(z))))))),
% 3.86/4.08 inference(symmetry,[status(thm)],[12391])).
% 3.86/4.08 tff(12393,plain,
% 3.86/4.08 (~(elem!1 = s(s(elem!1)))),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1983, 12377])).
% 3.86/4.08 tff(12394,plain,
% 3.86/4.08 (r(s(elem!1), s(s(s(s(s(s(z))))))) <=> r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.86/4.08 inference(monotonicity,[status(thm)],[12377])).
% 3.86/4.08 tff(12395,plain,
% 3.86/4.08 (r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) <=> r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 3.86/4.08 inference(symmetry,[status(thm)],[12394])).
% 3.86/4.08 tff(12396,plain,
% 3.86/4.08 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[347, 12395])).
% 3.86/4.08 tff(12397,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)],[1961])).
% 3.86/4.08 tff(12398,plain,
% 3.86/4.08 (r(s(s(s(s(z)))), z)),
% 3.86/4.08 inference(modus_ponens,[status(thm)],[1477, 12397])).
% 3.86/4.08 tff(12399,plain,
% 3.86/4.08 ($false),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[308, 12398])).
% 3.86/4.08 tff(12400,plain,((~r(s(elem!1), z)) | r(s(s(s(s(z)))), z) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.08 tff(12401,plain,
% 3.86/4.08 (~r(s(elem!1), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[12400, 12377, 308])).
% 3.86/4.08 tff(12402,plain,
% 3.86/4.08 (b(s(elem!1), z)),
% 3.86/4.08 inference(unit_resolution,[status(thm)],[1669, 12401])).
% 3.86/4.08 tff(12403,plain,
% 3.86/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12404,plain,
% 3.86/4.09 (((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12405,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12404])).
% 3.86/4.09 tff(12406,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.86/4.09 inference(transitivity,[status(thm)],[12405, 12403])).
% 3.86/4.09 tff(12407,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(12408,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12407, 12406])).
% 3.86/4.09 tff(12409,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12408, 91, 1707, 1605, 79, 669, 74])).
% 3.86/4.09 tff(12410,plain,((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(12411,plain,
% 3.86/4.09 (~b(z, s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12410, 12402, 79, 12364, 12256])).
% 3.86/4.09 tff(12412,plain,
% 3.86/4.09 (r(z, s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1583, 12411])).
% 3.86/4.09 tff(12413,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12414,plain,
% 3.86/4.09 (((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~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(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12415,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12414])).
% 3.86/4.09 tff(12416,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[12415, 12413])).
% 3.86/4.09 tff(12417,plain,
% 3.86/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(12418,plain,
% 3.86/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(s(s(z))))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 3.86/4.09 tff(12419,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12418, 125, 1565, 2613, 1376, 1478, 80])).
% 3.86/4.09 tff(12420,plain,((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(12421,plain,
% 3.86/4.09 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12420, 12412, 1376, 12344, 80])).
% 3.86/4.09 tff(12422,plain,
% 3.86/4.09 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(z))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[1772])).
% 3.86/4.09 tff(12423,plain,
% 3.86/4.09 (r(s(s(s(s(z)))), s(z)) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.86/4.09 inference(symmetry,[status(thm)],[12422])).
% 3.86/4.09 tff(12424,plain,
% 3.86/4.09 (r(s(s(s(s(z)))), s(elem!1))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[544, 12423])).
% 3.86/4.09 tff(12425,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1490, 12424])).
% 3.86/4.09 tff(12426,plain,((~r(s(s(s(s(z)))), s(z))) | r(s(s(s(s(z)))), s(elem!1)) | (~(elem!1 = z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(12427,plain,
% 3.86/4.09 (~(elem!1 = z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12426, 12421, 544])).
% 3.86/4.09 tff(12428,plain,
% 3.86/4.09 (s(elem!1) = s(s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1763, 1758])).
% 3.86/4.09 tff(12429,plain,
% 3.86/4.09 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12428])).
% 3.86/4.09 tff(12430,plain,
% 3.86/4.09 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.86/4.09 inference(symmetry,[status(thm)],[12429])).
% 3.86/4.09 tff(12431,plain,
% 3.86/4.09 (r(s(s(elem!1)), s(elem!1))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[2613, 12430])).
% 3.86/4.09 tff(12432,plain,
% 3.86/4.09 (~(elem!1 = s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1983, 12428])).
% 3.86/4.09 tff(12433,plain,
% 3.86/4.09 (~(s(elem!1) = s(s(elem!1)))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1914, 12432])).
% 3.86/4.09 tff(12434,plain,
% 3.86/4.09 (~(elem!1 = s(elem!1))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1990, 12433])).
% 3.86/4.09 tff(12435,plain,
% 3.86/4.09 (b(elem!1, s(elem!1)) <=> b(elem!1, s(s(s(s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12428])).
% 3.86/4.09 tff(12436,plain,
% 3.86/4.09 (b(elem!1, s(s(s(s(z))))) <=> b(elem!1, s(elem!1))),
% 3.86/4.09 inference(symmetry,[status(thm)],[12435])).
% 3.86/4.09 tff(12437,plain,
% 3.86/4.09 (inj_0(s(elem!1)) = inj_0(s(s(s(s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12428])).
% 3.86/4.09 tff(12438,plain,
% 3.86/4.09 (inj_0(s(s(s(s(z))))) = inj_0(s(elem!1))),
% 3.86/4.09 inference(symmetry,[status(thm)],[12437])).
% 3.86/4.09 tff(12439,plain,
% 3.86/4.09 (s(s(s(z))) = elem!1),
% 3.86/4.09 inference(transitivity,[status(thm)],[20, 12438, 1443])).
% 3.86/4.09 tff(12440,plain,
% 3.86/4.09 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(s(s(s(z)))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12439])).
% 3.86/4.09 tff(12441,plain,
% 3.86/4.09 (b(s(s(s(z))), s(s(s(s(z))))) <=> b(elem!1, s(elem!1))),
% 3.86/4.09 inference(transitivity,[status(thm)],[12440, 12436])).
% 3.86/4.09 tff(12442,plain,
% 3.86/4.09 ((~b(s(s(s(z))), s(s(s(s(z)))))) <=> (~b(elem!1, s(elem!1)))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12441])).
% 3.86/4.09 tff(12443,plain,
% 3.86/4.09 (~(z = elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2536, 1701])).
% 3.86/4.09 tff(12444,plain,
% 3.86/4.09 (s(s(elem!1)) = s(s(s(s(s(z)))))),
% 3.86/4.09 inference(symmetry,[status(thm)],[1758])).
% 3.86/4.09 tff(12445,plain,
% 3.86/4.09 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(s(z))))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12444])).
% 3.86/4.09 tff(12446,plain,
% 3.86/4.09 (r(s(s(s(z))), s(s(s(s(s(z)))))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.09 inference(symmetry,[status(thm)],[12445])).
% 3.86/4.09 tff(12447,plain,
% 3.86/4.09 (r(s(s(s(z))), s(s(s(s(s(z)))))) <=> r(elem!1, s(s(elem!1)))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12439, 1758])).
% 3.86/4.09 tff(12448,plain,
% 3.86/4.09 (r(elem!1, s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(s(z))))))),
% 3.86/4.09 inference(symmetry,[status(thm)],[12447])).
% 3.86/4.09 tff(12449,plain,
% 3.86/4.09 (r(s(s(s(z))), s(s(s(s(s(z))))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[3593, 12448])).
% 3.86/4.09 tff(12450,plain,
% 3.86/4.09 (r(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12449, 12446])).
% 3.86/4.09 tff(12451,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(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)))))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12452,plain,
% 3.86/4.09 (((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~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(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)))))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12453,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))) | (~r(s(s(s(z))), s(s(elem!1))))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12452])).
% 3.86/4.09 tff(12454,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(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)))))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[12453, 12451])).
% 3.86/4.09 tff(12455,plain,
% 3.86/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(s(s(z))))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(12456,plain,
% 3.86/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(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)))))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12455, 12454])).
% 3.86/4.09 tff(12457,plain,
% 3.86/4.09 ((~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12456, 125, 2613, 1376, 80])).
% 3.86/4.09 tff(12458,plain,
% 3.86/4.09 (~r(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12457, 12450])).
% 3.86/4.09 tff(12459,plain,
% 3.86/4.09 (~r(z, elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2121, 12458, 12428])).
% 3.86/4.09 tff(12460,plain,
% 3.86/4.09 (b(z, elem!1)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2126, 12459, 12443])).
% 3.86/4.09 tff(12461,plain,
% 3.86/4.09 (b(z, s(s(s(z))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2133, 12460, 12428])).
% 3.86/4.09 tff(12462,plain,
% 3.86/4.09 (r(elem!1, z) <=> r(s(s(s(z))), z)),
% 3.86/4.09 inference(monotonicity,[status(thm)],[2070])).
% 3.86/4.09 tff(12463,assumption,(b(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 3.86/4.09 tff(12464,assumption,(b(s(s(s(z))), z)), introduced(assumption)).
% 3.86/4.09 tff(12465,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(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(X1, 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(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12466,plain,
% 3.86/4.09 (((~b(s(s(s(z))), 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))), 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(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12467,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12466])).
% 3.86/4.09 tff(12468,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.86/4.09 inference(transitivity,[status(thm)],[12467, 12465])).
% 3.86/4.09 tff(12469,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(12470,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 3.86/4.09 tff(12471,plain,
% 3.86/4.09 ($false),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12470, 91, 12463, 74, 2151, 12464])).
% 3.86/4.09 tff(12472,plain,((~b(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))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.09 tff(12473,plain,
% 3.86/4.09 (~b(s(s(s(z))), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12472, 12463, 74, 2151])).
% 3.86/4.09 tff(12474,plain,
% 3.86/4.09 (~b(elem!1, z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2223, 12473, 1961])).
% 3.86/4.09 tff(12475,plain,
% 3.86/4.09 (r(elem!1, z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2216, 12474, 1701])).
% 3.86/4.09 tff(12476,plain,
% 3.86/4.09 (r(s(s(s(z))), z)),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12475, 12462])).
% 3.86/4.09 tff(12477,assumption,(r(s(s(s(z))), s(s(elem!1)))), introduced(assumption)).
% 3.86/4.09 tff(12478,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(s(z)))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12479,plain,
% 3.86/4.09 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(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(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12480,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(X1, 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(s(s(z)))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12479])).
% 3.86/4.09 tff(12481,plain,
% 3.86/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(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(X1, 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(s(s(z)))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[12480, 12478])).
% 3.86/4.09 tff(12482,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(z))))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(12483,plain,
% 3.86/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 3.86/4.09 tff(12484,plain,
% 3.86/4.09 (~b(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12483, 91, 12463, 565, 1073, 526, 2151])).
% 3.86/4.09 tff(12485,plain,
% 3.86/4.09 (~b(elem!1, s(s(s(s(s(s(z)))))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2067, 12484, 1961])).
% 3.86/4.09 tff(12486,plain,
% 3.86/4.09 (r(elem!1, s(s(s(s(s(s(z)))))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[1833, 12485, 2053])).
% 3.86/4.09 tff(12487,plain,
% 3.86/4.09 (r(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[2076, 12486, 1961])).
% 3.86/4.09 tff(12488,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12489,plain,
% 3.86/4.09 (((~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.09 inference(rewrite,[status(thm)],[])).
% 3.86/4.09 tff(12490,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1))))))),
% 3.86/4.09 inference(monotonicity,[status(thm)],[12489])).
% 3.86/4.09 tff(12491,plain,
% 3.86/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.09 inference(transitivity,[status(thm)],[12490, 12488])).
% 3.86/4.09 tff(12492,plain,
% 3.86/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.09 inference(quant_inst,[status(thm)],[])).
% 3.86/4.09 tff(12493,plain,
% 3.86/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.09 inference(modus_ponens,[status(thm)],[12492, 12491])).
% 3.86/4.09 tff(12494,plain,
% 3.86/4.09 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12493, 125, 765, 1376])).
% 3.86/4.09 tff(12495,plain,
% 3.86/4.09 (~r(s(s(s(z))), z)),
% 3.86/4.09 inference(unit_resolution,[status(thm)],[12494, 12487, 12477])).
% 3.86/4.10 tff(12496,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12495, 12476])).
% 3.86/4.10 tff(12497,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~(s(elem!1) = s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(elem!1)))) | (elem!1 = z) | (~b(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(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(12498,plain,
% 3.86/4.10 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12497, 12450, 12428, 765, 1376, 1701, 74, 12461, 565, 1073, 526])).
% 3.86/4.10 tff(12499,plain,
% 3.86/4.10 (~b(elem!1, s(elem!1))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12498, 12442])).
% 3.86/4.10 tff(12500,plain,
% 3.86/4.10 (((~![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)))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12501,plain,
% 3.86/4.10 ((~![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)))),
% 3.86/4.10 inference(quant_inst,[status(thm)],[])).
% 3.86/4.10 tff(12502,plain,
% 3.86/4.10 ((~![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))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12501, 12500])).
% 3.86/4.10 tff(12503,plain,
% 3.86/4.10 ((elem!1 = s(elem!1)) | b(elem!1, s(elem!1)) | r(elem!1, s(elem!1))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12502, 64])).
% 3.86/4.10 tff(12504,plain,
% 3.86/4.10 (r(elem!1, s(elem!1))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12503, 12499, 12434])).
% 3.86/4.10 tff(12505,assumption,(r(elem!1, s(elem!1))), introduced(assumption)).
% 3.86/4.10 tff(12506,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12507,plain,
% 3.86/4.10 (((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~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(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12508,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[12507])).
% 3.86/4.10 tff(12509,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.86/4.10 inference(transitivity,[status(thm)],[12508, 12506])).
% 3.86/4.10 tff(12510,plain,
% 3.86/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(z, s(s(elem!1)))) | (~r(elem!1, s(s(elem!1)))) | (~r(elem!1, z)))),
% 3.86/4.10 inference(quant_inst,[status(thm)],[])).
% 3.86/4.10 tff(12511,plain,
% 3.86/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(elem!1, s(elem!1))) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 3.86/4.10 tff(12512,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12511, 125, 12505, 2203, 3593, 1376, 3712])).
% 3.86/4.10 tff(12513,plain,((~r(elem!1, s(elem!1))) | (~r(elem!1, z)) | (~r(elem!1, s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(12514,plain,
% 3.86/4.10 (~r(elem!1, z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12513, 12504, 3593, 12431, 1376])).
% 3.86/4.10 tff(12515,plain,
% 3.86/4.10 (b(elem!1, z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2216, 12514, 1701])).
% 3.86/4.10 tff(12516,plain,
% 3.86/4.10 (b(s(s(s(z))), z)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2223, 12515, 12428])).
% 3.86/4.10 tff(12517,plain,
% 3.86/4.10 (~(s(s(s(s(s(s(z)))))) = elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2045, 12428])).
% 3.86/4.10 tff(12518,plain,
% 3.86/4.10 (~(elem!1 = s(s(s(s(s(s(z)))))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2052, 12517])).
% 3.86/4.10 tff(12519,plain,
% 3.86/4.10 (r(elem!1, s(s(s(s(s(z)))))) <=> r(elem!1, s(s(elem!1)))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[1758])).
% 3.86/4.10 tff(12520,plain,
% 3.86/4.10 (r(elem!1, s(s(elem!1))) <=> r(elem!1, s(s(s(s(s(z))))))),
% 3.86/4.10 inference(symmetry,[status(thm)],[12519])).
% 3.86/4.10 tff(12521,plain,
% 3.86/4.10 (r(elem!1, s(s(s(s(s(z))))))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[3593, 12520])).
% 3.86/4.10 tff(12522,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12523,plain,
% 3.86/4.10 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(elem!1)))) <=> ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12524,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(s(z))))))))))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[12523])).
% 3.86/4.10 tff(12525,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.86/4.10 inference(transitivity,[status(thm)],[12524, 12522])).
% 3.86/4.10 tff(12526,plain,
% 3.86/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(elem!1))))),
% 3.86/4.10 inference(quant_inst,[status(thm)],[])).
% 3.86/4.10 tff(12527,plain,
% 3.86/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(s(z))))))))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12526, 12525])).
% 3.86/4.10 tff(12528,plain,
% 3.86/4.10 ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(elem!1, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(elem!1, s(s(s(s(s(s(z))))))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12527, 125])).
% 3.86/4.10 tff(12529,plain,
% 3.86/4.10 (~r(elem!1, s(s(s(s(s(s(z)))))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12528, 12504, 203, 12521, 1817])).
% 3.86/4.10 tff(12530,plain,
% 3.86/4.10 (b(elem!1, s(s(s(s(s(s(z)))))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[1833, 12529, 12518])).
% 3.86/4.10 tff(12531,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2067, 12530, 12428])).
% 3.86/4.10 tff(12532,plain,
% 3.86/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(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(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12533,plain,
% 3.86/4.10 (((~b(s(s(s(s(z)))), z)) | (~b(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(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(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(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12534,plain,
% 3.86/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(s(s(s(z)))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(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(s(s(s(z))), s(s(s(s(s(s(z))))))))))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[12533])).
% 3.86/4.10 tff(12535,plain,
% 3.86/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(s(s(s(z)))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(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(s(s(s(z))), s(s(s(s(s(s(z)))))))))),
% 3.86/4.10 inference(transitivity,[status(thm)],[12534, 12532])).
% 3.86/4.10 tff(12536,plain,
% 3.86/4.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(s(s(s(z)))))))) | (~b(z, s(s(s(z))))))),
% 3.86/4.10 inference(quant_inst,[status(thm)],[])).
% 3.86/4.10 tff(12537,plain,
% 3.86/4.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(z))))))))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 3.86/4.10 tff(12538,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12537, 91, 76, 1073, 74, 12531, 12461, 12516])).
% 3.86/4.10 tff(12539,plain,((~r(elem!1, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (elem!1 = z) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~(s(s(s(s(s(z))))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(12540,plain,
% 3.86/4.10 (~r(elem!1, s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12539, 12427, 12286, 12256, 76, 203, 12396, 1376, 765, 565, 526, 12344, 80, 12376])).
% 3.86/4.10 tff(12541,plain,
% 3.86/4.10 (b(elem!1, s(s(elem!1)))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2105, 12540, 12393])).
% 3.86/4.10 tff(12542,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(s(s(s(z))))))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12541, 12392])).
% 3.86/4.10 tff(12543,plain,
% 3.86/4.10 (b(s(s(s(z))), s(s(elem!1)))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12542, 12390])).
% 3.86/4.10 tff(12544,plain,
% 3.86/4.10 (b(s(s(s(s(s(s(z)))))), s(elem!1)) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[12377])).
% 3.86/4.10 tff(12545,plain,
% 3.86/4.10 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 3.86/4.10 inference(symmetry,[status(thm)],[12544])).
% 3.86/4.10 tff(12546,plain,
% 3.86/4.10 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[76, 12545])).
% 3.86/4.10 tff(12547,plain,
% 3.86/4.10 ((s(s(s(z))) = s(z)) <=> (elem!1 = s(z))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[2032])).
% 3.86/4.10 tff(12548,plain,
% 3.86/4.10 ((s(s(s(z))) = s(z)) <=> (s(z) = elem!1)),
% 3.86/4.10 inference(transitivity,[status(thm)],[12547, 2022])).
% 3.86/4.10 tff(12549,plain,
% 3.86/4.10 ((s(z) = elem!1) <=> (s(s(s(z))) = s(z))),
% 3.86/4.10 inference(symmetry,[status(thm)],[12548])).
% 3.86/4.10 tff(12550,plain,
% 3.86/4.10 ((~(s(z) = elem!1)) <=> (~(s(s(s(z))) = s(z)))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[12549])).
% 3.86/4.10 tff(12551,plain,
% 3.86/4.10 (s(s(s(s(z)))) = s(elem!1)),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[1961, 1378])).
% 3.86/4.10 tff(12552,plain,
% 3.86/4.10 (~(elem!1 = s(z))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2020, 12551])).
% 3.86/4.10 tff(12553,plain,
% 3.86/4.10 (~(s(z) = elem!1)),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2028, 12552])).
% 3.86/4.10 tff(12554,plain,
% 3.86/4.10 (~(s(s(s(z))) = s(z))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12553, 12550])).
% 3.86/4.10 tff(12555,assumption,(b(s(s(s(z))), s(s(elem!1)))), introduced(assumption)).
% 3.86/4.10 tff(12556,assumption,(s(s(s(s(s(s(z)))))) = s(s(s(z)))), introduced(assumption)).
% 3.86/4.10 tff(12557,plain,
% 3.86/4.10 (s(s(s(z))) = s(s(s(s(s(s(z))))))),
% 3.86/4.10 inference(symmetry,[status(thm)],[12556])).
% 3.86/4.10 tff(12558,plain,
% 3.86/4.10 (elem!1 = s(s(s(s(s(s(z))))))),
% 3.86/4.10 inference(transitivity,[status(thm)],[1444, 2030, 19, 12557])).
% 3.86/4.10 tff(12559,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[2053, 12558])).
% 3.86/4.10 tff(12560,plain,((~(s(s(s(s(s(s(z)))))) = s(s(s(z))))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(12561,plain,
% 3.86/4.10 (~(s(s(s(s(s(s(z)))))) = s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12560, 1961])).
% 3.86/4.10 tff(12562,assumption,(r(s(s(s(z))), z)), introduced(assumption)).
% 3.86/4.10 tff(12563,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12564,plain,
% 3.86/4.10 (((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 3.86/4.10 inference(rewrite,[status(thm)],[])).
% 3.86/4.10 tff(12565,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))))),
% 3.86/4.10 inference(monotonicity,[status(thm)],[12564])).
% 3.86/4.10 tff(12566,plain,
% 3.86/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1)))))),
% 3.86/4.10 inference(transitivity,[status(thm)],[12565, 12563])).
% 3.86/4.10 tff(12567,plain,
% 3.86/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))))),
% 3.86/4.10 inference(quant_inst,[status(thm)],[])).
% 3.86/4.10 tff(12568,plain,
% 3.86/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))),
% 3.86/4.10 inference(modus_ponens,[status(thm)],[12567, 12566])).
% 3.86/4.10 tff(12569,plain,
% 3.86/4.10 (~r(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12568, 125, 765, 1404, 1376, 12562])).
% 3.86/4.10 tff(12570,assumption,(~(s(s(s(s(s(s(z)))))) = s(s(s(z))))), introduced(assumption)).
% 3.86/4.10 tff(12571,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(s(z))))), introduced(assumption)).
% 3.86/4.10 tff(12572,assumption,(~r(s(s(s(s(s(s(z)))))), s(s(s(z))))), introduced(assumption)).
% 3.86/4.10 tff(12573,plain,
% 3.86/4.10 ($false),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[3076, 64, 12572, 12571, 12570])).
% 3.86/4.10 tff(12574,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(z)))) | r(s(s(s(s(s(s(z)))))), s(s(s(z)))) | (s(s(s(s(s(s(z)))))) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.10 tff(12575,plain,
% 3.86/4.10 (b(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 3.86/4.10 inference(unit_resolution,[status(thm)],[12574, 12569, 12561])).
% 3.86/4.10 tff(12576,plain,
% 3.86/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~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(X1, 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(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12577,plain,
% 3.86/4.11 (((~b(s(s(s(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(z))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z)))))) <=> ((~b(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(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12578,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12577])).
% 3.86/4.11 tff(12579,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[12578, 12576])).
% 3.86/4.11 tff(12580,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(z))))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(12581,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 3.86/4.11 tff(12582,plain,
% 3.86/4.11 ((~b(s(s(s(s(s(s(z)))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12581, 91, 1837, 565, 526])).
% 3.86/4.11 tff(12583,plain,
% 3.86/4.11 (~b(s(s(s(z))), s(z))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12582, 12575, 12555])).
% 3.86/4.11 tff(12584,plain,
% 3.86/4.11 (((~![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)))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12585,plain,
% 3.86/4.11 ((~![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)))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(12586,plain,
% 3.86/4.11 ((~![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))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12585, 12584])).
% 3.86/4.11 tff(12587,plain,
% 3.86/4.11 ((s(s(s(z))) = s(z)) | r(s(s(s(z))), s(z))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12586, 64, 12583])).
% 3.86/4.11 tff(12588,plain,
% 3.86/4.11 (r(s(s(s(z))), s(z))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12587, 12554])).
% 3.86/4.11 tff(12589,plain,
% 3.86/4.11 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(s(s(z)))), elem!1)),
% 3.86/4.11 inference(monotonicity,[status(thm)],[2032])).
% 3.86/4.11 tff(12590,plain,
% 3.86/4.11 (r(s(s(s(s(z)))), elem!1) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.11 inference(symmetry,[status(thm)],[12589])).
% 3.86/4.11 tff(12591,plain,
% 3.86/4.11 (b(s(s(s(s(s(s(z)))))), elem!1) <=> b(s(s(s(s(s(s(z)))))), s(s(s(z))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[2070])).
% 3.86/4.11 tff(12592,plain,
% 3.86/4.11 (b(s(s(s(s(s(s(z)))))), s(s(s(z)))) <=> b(s(s(s(s(s(s(z)))))), elem!1)),
% 3.86/4.11 inference(symmetry,[status(thm)],[12591])).
% 3.86/4.11 tff(12593,plain,
% 3.86/4.11 (b(s(s(s(s(s(s(z)))))), elem!1)),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12575, 12592])).
% 3.86/4.11 tff(12594,plain,
% 3.86/4.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12595,plain,
% 3.86/4.11 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12596,plain,
% 3.86/4.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z)))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12595])).
% 3.86/4.11 tff(12597,plain,
% 3.86/4.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[12596, 12594])).
% 3.86/4.11 tff(12598,plain,
% 3.86/4.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(12599,plain,
% 3.86/4.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z)))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12598, 12597])).
% 3.86/4.11 tff(12600,plain,
% 3.86/4.11 ((~r(s(s(s(z))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(z))), s(z)))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12599, 125, 765, 12562, 269])).
% 3.86/4.11 tff(12601,plain,
% 3.86/4.11 (~r(s(s(s(z))), s(s(s(s(s(s(z)))))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12600, 12588])).
% 3.86/4.11 tff(12602,plain,
% 3.86/4.11 (~r(elem!1, s(s(s(s(s(s(z)))))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2076, 12601, 1961])).
% 3.86/4.11 tff(12603,plain,
% 3.86/4.11 (b(elem!1, s(s(s(s(s(s(z)))))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1833, 12602, 2053])).
% 3.86/4.11 tff(12604,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12605,plain,
% 3.86/4.11 (((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1)))) <=> ((~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12606,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12605])).
% 3.86/4.11 tff(12607,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 3.86/4.11 inference(transitivity,[status(thm)],[12606, 12604])).
% 3.86/4.11 tff(12608,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(elem!1), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(12609,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), elem!1))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12608, 12607])).
% 3.86/4.11 tff(12610,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12609, 91, 1809, 1838, 3670, 1544])).
% 3.86/4.11 tff(12611,plain,((~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(12612,plain,
% 3.86/4.11 (~b(s(elem!1), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12611, 12603, 1544, 12593])).
% 3.86/4.11 tff(12613,plain,
% 3.86/4.11 (b(s(elem!1), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 3.86/4.11 inference(monotonicity,[status(thm)],[1961])).
% 3.86/4.11 tff(12614,plain,
% 3.86/4.11 (b(s(s(s(s(z)))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.86/4.11 inference(symmetry,[status(thm)],[12613])).
% 3.86/4.11 tff(12615,assumption,(b(s(s(s(s(z)))), elem!1)), introduced(assumption)).
% 3.86/4.11 tff(12616,plain,
% 3.86/4.11 (b(s(elem!1), elem!1)),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 3.86/4.11 tff(12617,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1800, 12616])).
% 3.86/4.11 tff(12618,plain,((~(s(elem!1) = s(s(s(s(z)))))) | b(s(elem!1), elem!1) | (~b(s(s(s(s(z)))), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(12619,plain,
% 3.86/4.11 (~b(s(s(s(s(z)))), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12618, 12612, 1961])).
% 3.86/4.11 tff(12620,plain,
% 3.86/4.11 (r(s(s(s(s(z)))), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2543, 12619, 1433])).
% 3.86/4.11 tff(12621,plain,
% 3.86/4.11 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12620, 12590])).
% 3.86/4.11 tff(12622,plain,
% 3.86/4.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12623,plain,
% 3.86/4.11 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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)))))) <=> ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12624,plain,
% 3.86/4.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z)))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12623])).
% 3.86/4.11 tff(12625,plain,
% 3.86/4.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[12624, 12622])).
% 3.86/4.11 tff(12626,plain,
% 3.86/4.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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))))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(12627,plain,
% 3.86/4.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z)))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 3.86/4.11 tff(12628,plain,
% 3.86/4.11 ($false),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12627, 125, 544, 347, 12621, 269, 12588])).
% 3.86/4.11 tff(12629,plain,((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~(s(elem!1) = s(s(s(s(z)))))) | (s(s(s(s(z)))) = elem!1) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.11 tff(12630,plain,
% 3.86/4.11 (~r(s(s(s(z))), z)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12629, 12377, 347, 12288, 544, 12323, 12546, 765, 12543, 12336, 565, 526, 12326, 1376])).
% 3.86/4.11 tff(12631,plain,
% 3.86/4.11 (b(s(s(s(z))), z)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2149, 64, 194, 12630])).
% 3.86/4.11 tff(12632,plain,
% 3.86/4.11 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(elem!1)), s(s(s(s(z)))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12377])).
% 3.86/4.11 tff(12633,plain,
% 3.86/4.11 (r(s(s(elem!1)), s(s(s(s(z))))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.86/4.11 inference(symmetry,[status(thm)],[12632])).
% 3.86/4.11 tff(12634,plain,
% 3.86/4.11 (r(s(s(elem!1)), s(elem!1))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12344, 12633])).
% 3.86/4.11 tff(12635,plain,
% 3.86/4.11 (~(s(elem!1) = elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[1996, 12434])).
% 3.86/4.11 tff(12636,plain,
% 3.86/4.11 (b(s(elem!1), elem!1) <=> b(s(s(s(s(z)))), elem!1)),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12428])).
% 3.86/4.11 tff(12637,plain,
% 3.86/4.11 (b(s(s(s(s(z)))), elem!1) <=> b(s(elem!1), elem!1)),
% 3.86/4.11 inference(symmetry,[status(thm)],[12636])).
% 3.86/4.11 tff(12638,plain,
% 3.86/4.11 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(s(s(s(z)))), elem!1)),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12439])).
% 3.86/4.11 tff(12639,plain,
% 3.86/4.11 (b(s(s(s(s(z)))), s(s(s(z)))) <=> b(s(elem!1), elem!1)),
% 3.86/4.11 inference(transitivity,[status(thm)],[12638, 12637])).
% 3.86/4.11 tff(12640,plain,
% 3.86/4.11 ((~b(s(s(s(s(z)))), s(s(s(z))))) <=> (~b(s(elem!1), elem!1))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12639])).
% 3.86/4.11 tff(12641,assumption,(b(s(z), s(s(s(z))))), introduced(assumption)).
% 3.86/4.11 tff(12642,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(z), 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(X1, 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(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12643,plain,
% 3.86/4.11 (((~b(s(s(elem!1)), 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(z), s(s(s(z))))) | (~b(s(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)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12644,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(s(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(X1, 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(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12643])).
% 3.86/4.11 tff(12645,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(s(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(X1, 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(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[12644, 12642])).
% 3.86/4.11 tff(12646,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(s(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)))))))),
% 3.86/4.11 inference(quant_inst,[status(thm)],[])).
% 3.86/4.11 tff(12647,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12646, 12645])).
% 3.86/4.11 tff(12648,plain,
% 3.86/4.11 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[12647, 91, 565, 74, 3586, 12555, 12641])).
% 3.86/4.11 tff(12649,plain,
% 3.86/4.11 (~b(s(elem!1), elem!1)),
% 3.86/4.11 inference(modus_ponens,[status(thm)],[12648, 12640])).
% 3.86/4.11 tff(12650,plain,
% 3.86/4.11 (r(s(elem!1), elem!1)),
% 3.86/4.11 inference(unit_resolution,[status(thm)],[2199, 12649, 12635])).
% 3.86/4.11 tff(12651,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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))), 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)), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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))), 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)), z)) | (~b(s(z), s(s(s(z))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12652,plain,
% 3.86/4.11 (((~b(s(s(elem!1)), z)) | (~b(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(z), s(s(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)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(s(z))))))),
% 3.86/4.11 inference(rewrite,[status(thm)],[])).
% 3.86/4.11 tff(12653,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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))), 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)), z)) | (~b(s(z), s(s(s(z)))))))),
% 3.86/4.11 inference(monotonicity,[status(thm)],[12652])).
% 3.86/4.11 tff(12654,plain,
% 3.86/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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))), 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)), z)) | (~b(s(z), s(s(s(z))))))),
% 3.86/4.11 inference(transitivity,[status(thm)],[12653, 12651])).
% 3.86/4.11 tff(12655,plain,
% 3.86/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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))))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(12656,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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))), 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)), z)) | (~b(s(z), s(s(s(z)))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12655, 12654])).
% 3.86/4.12 tff(12657,plain,
% 3.86/4.12 ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12656, 91, 1837, 565, 3586, 12464])).
% 3.86/4.12 tff(12658,plain,
% 3.86/4.12 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12657, 12641])).
% 3.86/4.12 tff(12659,plain,
% 3.86/4.12 (~b(elem!1, s(elem!1))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12658, 12442])).
% 3.86/4.12 tff(12660,plain,
% 3.86/4.12 (r(elem!1, s(elem!1))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12503, 12659, 12434])).
% 3.86/4.12 tff(12661,plain,
% 3.86/4.12 (~(s(s(elem!1)) = elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[2237, 12432])).
% 3.86/4.12 tff(12662,plain,
% 3.86/4.12 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(monotonicity,[status(thm)],[1758, 12439])).
% 3.86/4.12 tff(12663,plain,
% 3.86/4.12 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12444])).
% 3.86/4.12 tff(12664,plain,
% 3.86/4.12 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(transitivity,[status(thm)],[12663, 12662])).
% 3.86/4.12 tff(12665,plain,
% 3.86/4.12 ((~b(s(s(elem!1)), s(s(s(z))))) <=> (~b(s(s(elem!1)), elem!1))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12664])).
% 3.86/4.12 tff(12666,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12667,plain,
% 3.86/4.12 (((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~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(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12668,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~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(X1, 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(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12667])).
% 3.86/4.12 tff(12669,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~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(X1, 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(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1)))))),
% 3.86/4.12 inference(transitivity,[status(thm)],[12668, 12666])).
% 3.86/4.12 tff(12670,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(12671,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(z))))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 3.86/4.12 tff(12672,plain,
% 3.86/4.12 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12671, 91, 1737, 3586, 12555, 12641])).
% 3.86/4.12 tff(12673,plain,
% 3.86/4.12 (~b(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12672, 12665])).
% 3.86/4.12 tff(12674,plain,
% 3.86/4.12 (r(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[2256, 12673, 12661])).
% 3.86/4.12 tff(12675,plain,
% 3.86/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(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))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12676,plain,
% 3.86/4.12 (((~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1)))) <=> ((~r(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))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12677,plain,
% 3.86/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12676])).
% 3.86/4.12 tff(12678,plain,
% 3.86/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(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))))),
% 3.86/4.12 inference(transitivity,[status(thm)],[12677, 12675])).
% 3.86/4.12 tff(12679,plain,
% 3.86/4.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(12680,plain,
% 3.86/4.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), elem!1)) | (~r(elem!1, s(elem!1))) | (~r(s(s(elem!1)), elem!1)) | (~r(s(s(elem!1)), s(elem!1)))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 3.86/4.12 tff(12681,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12680, 125, 12505, 2202, 3712, 2239])).
% 3.86/4.12 tff(12682,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(elem!1, s(elem!1))) | (~r(s(elem!1), elem!1)) | (~r(s(s(elem!1)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.12 tff(12683,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12682, 12674, 12660, 12650, 3712])).
% 3.86/4.12 tff(12684,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(elem!1))) | (~(s(s(s(s(s(z))))) = s(s(elem!1)))) | (~b(s(s(s(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(s(z))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.12 tff(12685,plain,
% 3.86/4.12 (~b(s(z), s(s(s(z))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12684, 12634, 12376, 12336, 565, 12310, 12631, 12321, 12543, 12256])).
% 3.86/4.12 tff(12686,plain,
% 3.86/4.12 (~b(s(z), elem!1)),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12685, 12387])).
% 3.86/4.12 tff(12687,plain,
% 3.86/4.12 (r(s(z), elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[2089, 12686, 12385])).
% 3.86/4.12 tff(12688,plain,
% 3.86/4.12 (r(s(z), s(s(s(z))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12687, 12382])).
% 3.86/4.12 tff(12689,plain,
% 3.86/4.12 (r(s(s(elem!1)), s(s(s(z)))) <=> r(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12388])).
% 3.86/4.12 tff(12690,plain,
% 3.86/4.12 (r(s(s(s(s(s(z))))), s(s(s(z)))) <=> r(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.12 inference(symmetry,[status(thm)],[12689])).
% 3.86/4.12 tff(12691,plain,
% 3.86/4.12 (~(s(s(elem!1)) = elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[2237, 12393])).
% 3.86/4.12 tff(12692,plain,
% 3.86/4.12 (b(s(s(s(s(s(z))))), s(s(s(z)))) <=> b(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12376, 12380])).
% 3.86/4.12 tff(12693,plain,
% 3.86/4.12 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12388])).
% 3.86/4.12 tff(12694,plain,
% 3.86/4.12 (b(s(s(elem!1)), s(s(s(z)))) <=> b(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(transitivity,[status(thm)],[12693, 12692])).
% 3.86/4.12 tff(12695,plain,
% 3.86/4.12 ((~b(s(s(elem!1)), s(s(s(z))))) <=> (~b(s(s(elem!1)), elem!1))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12694])).
% 3.86/4.12 tff(12696,assumption,(b(s(s(elem!1)), s(s(s(z))))), introduced(assumption)).
% 3.86/4.12 tff(12697,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(elem!1)))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12698,plain,
% 3.86/4.12 (((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(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(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(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(elem!1)))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12699,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(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(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(X1, 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(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(elem!1))))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12698])).
% 3.86/4.12 tff(12700,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(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(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(X1, 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(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(elem!1)))))),
% 3.86/4.12 inference(transitivity,[status(thm)],[12699, 12697])).
% 3.86/4.12 tff(12701,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(elem!1)))) | (~b(s(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(z), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(12702,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(z))), s(s(elem!1))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12701, 12700])).
% 3.86/4.12 tff(12703,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12702, 91, 1837, 565, 1737, 12555, 12696])).
% 3.86/4.12 tff(12704,plain,((~b(s(s(elem!1)), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(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,[]))).
% 3.86/4.12 tff(12705,plain,
% 3.86/4.12 (~b(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12704, 12336, 565, 12321, 12543])).
% 3.86/4.12 tff(12706,plain,
% 3.86/4.12 (~b(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12705, 12695])).
% 3.86/4.12 tff(12707,plain,
% 3.86/4.12 (r(s(s(elem!1)), elem!1)),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[2256, 12706, 12691])).
% 3.86/4.12 tff(12708,plain,
% 3.86/4.12 (r(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[3229, 12707, 12377])).
% 3.86/4.12 tff(12709,plain,
% 3.86/4.12 (r(s(s(elem!1)), s(s(s(z))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12708, 12690])).
% 3.86/4.12 tff(12710,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(elem!1)))) | (~b(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(12711,plain,
% 3.86/4.12 (((~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~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(z), s(s(s(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)))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12712,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12711])).
% 3.86/4.12 tff(12713,plain,
% 3.86/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.86/4.12 inference(transitivity,[status(thm)],[12712, 12710])).
% 3.86/4.12 tff(12714,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(12715,plain,
% 3.86/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 3.86/4.12 tff(12716,plain,
% 3.86/4.12 ($false),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12715, 91, 1837, 565, 1737, 2373])).
% 3.86/4.12 tff(12717,plain,((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.86/4.12 tff(12718,plain,
% 3.86/4.12 (~b(s(s(elem!1)), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12717, 12336, 565, 12321])).
% 3.86/4.12 tff(12719,plain,
% 3.86/4.12 ((s(s(elem!1)) = s(z)) <=> (s(z) = s(s(elem!1)))),
% 3.86/4.12 inference(commutativity,[status(thm)],[])).
% 3.86/4.12 tff(12720,plain,
% 3.86/4.12 ((s(z) = s(s(elem!1))) <=> (s(s(elem!1)) = s(z))),
% 3.86/4.12 inference(symmetry,[status(thm)],[12719])).
% 3.86/4.12 tff(12721,plain,
% 3.86/4.12 ((~(s(z) = s(s(elem!1)))) <=> (~(s(s(elem!1)) = s(z)))),
% 3.86/4.12 inference(monotonicity,[status(thm)],[12720])).
% 3.86/4.12 tff(12722,plain,
% 3.86/4.12 (~(s(s(elem!1)) = s(z))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[1335, 12721])).
% 3.86/4.12 tff(12723,plain,
% 3.86/4.12 (((~![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)))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12724,plain,
% 3.86/4.12 ((~![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)))),
% 3.86/4.12 inference(quant_inst,[status(thm)],[])).
% 3.86/4.12 tff(12725,plain,
% 3.86/4.12 ((~![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))),
% 3.86/4.12 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 3.86/4.12 tff(12726,plain,
% 3.86/4.12 ((s(s(elem!1)) = s(z)) | b(s(s(elem!1)), s(z)) | r(s(s(elem!1)), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12725, 64])).
% 3.86/4.12 tff(12727,plain,
% 3.86/4.12 (b(s(s(elem!1)), s(z)) | r(s(s(elem!1)), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12726, 12722])).
% 3.86/4.12 tff(12728,plain,
% 3.86/4.12 (r(s(s(elem!1)), s(z))),
% 3.86/4.12 inference(unit_resolution,[status(thm)],[12727, 12718])).
% 3.86/4.12 tff(12729,plain,
% 3.86/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12730,plain,
% 3.86/4.12 (((~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))) | (~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(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.86/4.12 inference(rewrite,[status(thm)],[])).
% 3.86/4.12 tff(12731,plain,
% 3.86/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z)))))))),
% 3.96/4.12 inference(monotonicity,[status(thm)],[12730])).
% 3.96/4.12 tff(12732,plain,
% 3.96/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z))))))),
% 3.96/4.12 inference(transitivity,[status(thm)],[12731, 12729])).
% 3.96/4.12 tff(12733,plain,
% 3.96/4.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(s(elem!1)), s(s(s(s(z)))))))),
% 3.96/4.12 inference(quant_inst,[status(thm)],[])).
% 3.96/4.12 tff(12734,plain,
% 3.96/4.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(elem!1)), s(s(s(z)))))),
% 3.96/4.12 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 3.96/4.12 tff(12735,plain,
% 3.96/4.12 (~r(s(z), s(s(s(z))))),
% 3.96/4.12 inference(unit_resolution,[status(thm)],[12734, 125, 12344, 544, 12728, 12709])).
% 3.96/4.12 tff(12736,plain,
% 3.96/4.12 ($false),
% 3.96/4.12 inference(unit_resolution,[status(thm)],[12735, 12688])).
% 3.96/4.12 tff(12737,plain,(b(s(s(s(s(s(s(z)))))), s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | r(s(s(s(s(z)))), z) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.12 tff(12738,plain,
% 3.96/4.12 (b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 3.96/4.12 inference(unit_resolution,[status(thm)],[12737, 1376, 565, 347, 765, 526, 544, 76, 12257, 80, 79, 308, 75, 411])).
% 3.96/4.12 tff(12739,plain,
% 3.96/4.12 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.96/4.12 inference(unit_resolution,[status(thm)],[12267, 12271, 565, 76, 12256, 526])).
% 3.96/4.12 tff(12740,plain,
% 3.96/4.12 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.96/4.12 inference(unit_resolution,[status(thm)],[295, 12739])).
% 3.96/4.12 tff(12741,plain,
% 3.96/4.12 (~r(s(z), s(s(elem!1)))),
% 3.96/4.12 inference(unit_resolution,[status(thm)],[12318, 1376, 765, 411, 12740])).
% 3.96/4.12 tff(12742,plain,
% 3.96/4.12 (b(s(z), s(s(elem!1)))),
% 3.96/4.12 inference(unit_resolution,[status(thm)],[12320, 12741])).
% 3.96/4.12 tff(12743,plain,
% 3.96/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(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(X1, 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(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.96/4.12 inference(rewrite,[status(thm)],[])).
% 3.96/4.12 tff(12744,plain,
% 3.96/4.12 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.96/4.12 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12745,plain,
% 3.96/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12744])).
% 3.96/4.13 tff(12746,plain,
% 3.96/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.96/4.13 inference(transitivity,[status(thm)],[12745, 12743])).
% 3.96/4.13 tff(12747,plain,
% 3.96/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.96/4.13 inference(quant_inst,[status(thm)],[])).
% 3.96/4.13 tff(12748,plain,
% 3.96/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[12747, 12746])).
% 3.96/4.13 tff(12749,plain,
% 3.96/4.13 ($false),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12748, 91, 1757, 565, 1737, 2373, 526])).
% 3.96/4.13 tff(12750,plain,((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.13 tff(12751,plain,
% 3.96/4.13 (~b(s(s(elem!1)), s(z))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12750, 12738, 565, 12742, 526])).
% 3.96/4.13 tff(12752,plain,
% 3.96/4.13 (r(s(s(elem!1)), s(z))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12727, 12751])).
% 3.96/4.13 tff(12753,plain,
% 3.96/4.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12754,plain,
% 3.96/4.13 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12755,plain,
% 3.96/4.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z)))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12754])).
% 3.96/4.13 tff(12756,plain,
% 3.96/4.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 3.96/4.13 inference(transitivity,[status(thm)],[12755, 12753])).
% 3.96/4.13 tff(12757,plain,
% 3.96/4.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~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)))))),
% 3.96/4.13 inference(quant_inst,[status(thm)],[])).
% 3.96/4.13 tff(12758,plain,
% 3.96/4.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z)))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 3.96/4.13 tff(12759,plain,
% 3.96/4.13 ($false),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12758, 125, 1854, 544, 3380, 347, 269])).
% 3.96/4.13 tff(12760,plain,((~r(s(s(elem!1)), s(z))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.13 tff(12761,plain,
% 3.96/4.13 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12760, 12752, 544, 347, 12740])).
% 3.96/4.13 tff(12762,plain,
% 3.96/4.13 (b(s(s(s(s(s(s(z)))))), s(s(elem!1))) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[1974])).
% 3.96/4.13 tff(12763,plain,
% 3.96/4.13 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[1757, 12762])).
% 3.96/4.13 tff(12764,plain,
% 3.96/4.13 ($false),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[1306, 12763])).
% 3.96/4.13 tff(12765,plain,((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.13 tff(12766,plain,
% 3.96/4.13 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12765, 12738, 1306])).
% 3.96/4.13 tff(12767,plain,
% 3.96/4.13 ((s(elem!1) = s(s(s(s(z))))) <=> (s(elem!1) = s(s(elem!1)))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.13 tff(12768,plain,
% 3.96/4.13 ((s(elem!1) = s(s(s(s(z))))) <=> (s(s(elem!1)) = s(elem!1))),
% 3.96/4.13 inference(transitivity,[status(thm)],[12767, 3708])).
% 3.96/4.13 tff(12769,plain,
% 3.96/4.13 ((~(s(elem!1) = s(s(s(s(z)))))) <=> (~(s(s(elem!1)) = s(elem!1)))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12768])).
% 3.96/4.13 tff(12770,plain,
% 3.96/4.13 (~(s(s(elem!1)) = s(elem!1))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[1455, 12769])).
% 3.96/4.13 tff(12771,plain,
% 3.96/4.13 ((~(s(elem!1) = s(s(s(s(z)))))) <=> (~(s(elem!1) = s(s(elem!1))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12767])).
% 3.96/4.13 tff(12772,plain,
% 3.96/4.13 (~(s(elem!1) = s(s(elem!1)))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[1455, 12771])).
% 3.96/4.13 tff(12773,plain,
% 3.96/4.13 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12267, 1073, 565, 76, 74, 526])).
% 3.96/4.13 tff(12774,plain,
% 3.96/4.13 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[295, 12773])).
% 3.96/4.13 tff(12775,plain,
% 3.96/4.13 (~r(s(z), s(s(elem!1)))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12318, 1376, 765, 411, 12774])).
% 3.96/4.13 tff(12776,plain,
% 3.96/4.13 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[1397, 12775, 12774])).
% 3.96/4.13 tff(12777,plain,
% 3.96/4.13 ((s(elem!1) = s(s(s(s(s(z)))))) <=> (s(s(s(s(s(z))))) = s(elem!1))),
% 3.96/4.13 inference(commutativity,[status(thm)],[])).
% 3.96/4.13 tff(12778,assumption,(s(elem!1) = s(s(s(s(s(z)))))), introduced(assumption)).
% 3.96/4.13 tff(12779,plain,
% 3.96/4.13 (s(s(s(s(s(z))))) = s(elem!1)),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[12778, 12777])).
% 3.96/4.13 tff(12780,plain,
% 3.96/4.13 ($false),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[1425, 12779])).
% 3.96/4.13 tff(12781,plain,((~(s(elem!1) = s(s(s(s(s(z))))))) | (s(s(s(s(s(z))))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.13 tff(12782,plain,
% 3.96/4.13 (~(s(elem!1) = s(s(s(s(s(z))))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12781, 12776])).
% 3.96/4.13 tff(12783,plain,
% 3.96/4.13 (~(s(elem!1) = s(s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[2693, 1414])).
% 3.96/4.13 tff(12784,plain,
% 3.96/4.13 (b(s(s(s(s(z)))), z) <=> b(s(s(elem!1)), z)),
% 3.96/4.13 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.13 tff(12785,plain,
% 3.96/4.13 (b(s(s(elem!1)), z)),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[74, 12784])).
% 3.96/4.13 tff(12786,plain,
% 3.96/4.13 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(quant_inst,[status(thm)],[])).
% 3.96/4.13 tff(12787,plain,
% 3.96/4.13 (inj_0(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12786, 11])).
% 3.96/4.13 tff(12788,plain,
% 3.96/4.13 (s(elem!1) = s(s(s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[1804])).
% 3.96/4.13 tff(12789,plain,
% 3.96/4.13 (s(s(elem!1)) = s(s(s(s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12788])).
% 3.96/4.13 tff(12790,plain,
% 3.96/4.13 (s(s(s(s(z)))) = s(s(s(s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(transitivity,[status(thm)],[1414, 12789])).
% 3.96/4.13 tff(12791,plain,
% 3.96/4.13 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(s(s(z)))))))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12790])).
% 3.96/4.13 tff(12792,plain,
% 3.96/4.13 (s(s(s(z))) = s(s(s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(transitivity,[status(thm)],[20, 12791, 12787])).
% 3.96/4.13 tff(12793,plain,
% 3.96/4.13 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12792])).
% 3.96/4.13 tff(12794,plain,
% 3.96/4.13 (inj_0(s(s(s(s(s(s(s(z)))))))) = inj_0(s(s(s(z))))),
% 3.96/4.13 inference(symmetry,[status(thm)],[12793])).
% 3.96/4.13 tff(12795,plain,
% 3.96/4.13 (s(s(s(s(s(s(z)))))) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(symmetry,[status(thm)],[2683])).
% 3.96/4.13 tff(12796,plain,
% 3.96/4.13 (s(s(s(s(s(s(z)))))) = s(s(z))),
% 3.96/4.13 inference(transitivity,[status(thm)],[12795, 12794, 13])).
% 3.96/4.13 tff(12797,plain,
% 3.96/4.13 ($false),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[869, 12796])).
% 3.96/4.13 tff(12798,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~(elem!1 = s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.13 tff(12799,plain,
% 3.96/4.13 (~(elem!1 = s(s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12798, 1414])).
% 3.96/4.13 tff(12800,plain,
% 3.96/4.13 ((s(s(s(s(z)))) = s(s(z))) <=> (s(s(elem!1)) = s(s(z)))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.13 tff(12801,plain,
% 3.96/4.13 ((~(s(s(s(s(z)))) = s(s(z)))) <=> (~(s(s(elem!1)) = s(s(z))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12800])).
% 3.96/4.13 tff(12802,plain,
% 3.96/4.13 (~(s(s(elem!1)) = s(s(z)))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[51, 12801])).
% 3.96/4.13 tff(12803,plain,
% 3.96/4.13 (s(s(elem!1)) = s(s(z))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[1514])).
% 3.96/4.13 tff(12804,plain,
% 3.96/4.13 ($false),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[3381, 12803])).
% 3.96/4.13 tff(12805,plain,((~(s(elem!1) = s(z))) | (s(s(elem!1)) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.13 tff(12806,plain,
% 3.96/4.13 (~(s(elem!1) = s(z))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12805, 12802])).
% 3.96/4.13 tff(12807,plain,
% 3.96/4.13 (~(s(z) = s(elem!1))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[1512, 12806])).
% 3.96/4.13 tff(12808,plain,
% 3.96/4.13 (b(s(z), s(s(elem!1)))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12320, 12775])).
% 3.96/4.13 tff(12809,plain,
% 3.96/4.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12810,plain,
% 3.96/4.13 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12811,plain,
% 3.96/4.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12810])).
% 3.96/4.13 tff(12812,plain,
% 3.96/4.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.96/4.13 inference(transitivity,[status(thm)],[12811, 12809])).
% 3.96/4.13 tff(12813,plain,
% 3.96/4.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))),
% 3.96/4.13 inference(quant_inst,[status(thm)],[])).
% 3.96/4.13 tff(12814,plain,
% 3.96/4.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[12813, 12812])).
% 3.96/4.13 tff(12815,plain,
% 3.96/4.13 ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12814, 125])).
% 3.96/4.13 tff(12816,plain,
% 3.96/4.13 (~r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12815, 1477, 203, 75, 765])).
% 3.96/4.13 tff(12817,plain,
% 3.96/4.13 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[1562, 12816, 1505])).
% 3.96/4.13 tff(12818,assumption,(~(s(z) = s(elem!1))), introduced(assumption)).
% 3.96/4.13 tff(12819,plain,
% 3.96/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12820,plain,
% 3.96/4.13 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12821,plain,
% 3.96/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1)))))),
% 3.96/4.13 inference(monotonicity,[status(thm)],[12820])).
% 3.96/4.13 tff(12822,plain,
% 3.96/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))))),
% 3.96/4.13 inference(transitivity,[status(thm)],[12821, 12819])).
% 3.96/4.13 tff(12823,plain,
% 3.96/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.96/4.13 inference(quant_inst,[status(thm)],[])).
% 3.96/4.13 tff(12824,plain,
% 3.96/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(elem!1)))),
% 3.96/4.13 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 3.96/4.13 tff(12825,plain,
% 3.96/4.13 (~b(s(z), s(elem!1))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[12824, 91, 1757, 1737, 526, 1545, 1544])).
% 3.96/4.13 tff(12826,plain,
% 3.96/4.13 (r(s(z), s(elem!1))),
% 3.96/4.13 inference(unit_resolution,[status(thm)],[1655, 12825, 12818])).
% 3.96/4.13 tff(12827,plain,
% 3.96/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.13 tff(12828,plain,
% 3.96/4.13 (((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(elem!1)))) <=> ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 3.96/4.13 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12829,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12828])).
% 3.96/4.14 tff(12830,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 3.96/4.14 inference(transitivity,[status(thm)],[12829, 12827])).
% 3.96/4.14 tff(12831,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(elem!1))))),
% 3.96/4.14 inference(quant_inst,[status(thm)],[])).
% 3.96/4.14 tff(12832,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 3.96/4.14 tff(12833,plain,
% 3.96/4.14 (~b(z, s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12832, 91, 1073, 1545, 1544])).
% 3.96/4.14 tff(12834,plain,
% 3.96/4.14 (r(z, s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1583, 12833])).
% 3.96/4.14 tff(12835,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12836,plain,
% 3.96/4.14 (((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))) <=> ((~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12837,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12836])).
% 3.96/4.14 tff(12838,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(transitivity,[status(thm)],[12837, 12835])).
% 3.96/4.14 tff(12839,plain,
% 3.96/4.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(quant_inst,[status(thm)],[])).
% 3.96/4.14 tff(12840,plain,
% 3.96/4.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 3.96/4.14 tff(12841,plain,
% 3.96/4.14 ($false),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12840, 125, 1477, 12834, 12826, 411])).
% 3.96/4.14 tff(12842,plain,((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), z)) | (~r(s(z), z)) | (s(z) = s(elem!1)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.14 tff(12843,plain,
% 3.96/4.14 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12842, 1477, 411, 3740, 1073, 12817, 1757, 1737, 526])).
% 3.96/4.14 tff(12844,plain,
% 3.96/4.14 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1542, 12843, 1285])).
% 3.96/4.14 tff(12845,plain,
% 3.96/4.14 (~r(s(elem!1), s(z))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1634, 12844])).
% 3.96/4.14 tff(12846,plain,
% 3.96/4.14 (b(s(elem!1), s(z))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1639, 12845, 1510])).
% 3.96/4.14 tff(12847,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12848,plain,
% 3.96/4.14 (((~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12849,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12848])).
% 3.96/4.14 tff(12850,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 3.96/4.14 inference(transitivity,[status(thm)],[12849, 12847])).
% 3.96/4.14 tff(12851,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.96/4.14 inference(quant_inst,[status(thm)],[])).
% 3.96/4.14 tff(12852,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[12851, 12850])).
% 3.96/4.14 tff(12853,plain,
% 3.96/4.14 (~b(s(z), s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12852, 91, 1737, 12846, 526, 12817])).
% 3.96/4.14 tff(12854,plain,
% 3.96/4.14 (r(s(z), s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1655, 12853, 3740])).
% 3.96/4.14 tff(12855,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12856,plain,
% 3.96/4.14 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12857,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12856])).
% 3.96/4.14 tff(12858,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(transitivity,[status(thm)],[12857, 12855])).
% 3.96/4.14 tff(12859,plain,
% 3.96/4.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(quant_inst,[status(thm)],[])).
% 3.96/4.14 tff(12860,plain,
% 3.96/4.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 3.96/4.14 tff(12861,plain,
% 3.96/4.14 ($false),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12860, 125, 765, 12844, 12854, 411, 269])).
% 3.96/4.14 tff(12862,plain,((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (s(elem!1) = s(z)) | (s(elem!1) = 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(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.14 tff(12863,plain,
% 3.96/4.14 (~r(s(elem!1), z)),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12862, 12806, 411, 12774, 12808, 526, 765, 12783, 1073, 1757, 203, 75])).
% 3.96/4.14 tff(12864,plain,
% 3.96/4.14 (b(s(elem!1), z)),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1669, 12863])).
% 3.96/4.14 tff(12865,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12866,plain,
% 3.96/4.14 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12867,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z))))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12866])).
% 3.96/4.14 tff(12868,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)))),
% 3.96/4.14 inference(transitivity,[status(thm)],[12867, 12865])).
% 3.96/4.14 tff(12869,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(z, s(elem!1))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)))),
% 3.96/4.14 inference(quant_inst,[status(thm)],[])).
% 3.96/4.14 tff(12870,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[12869, 12868])).
% 3.96/4.14 tff(12871,plain,
% 3.96/4.14 (~b(z, s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12870, 91, 12864, 2374, 1073, 12785])).
% 3.96/4.14 tff(12872,plain,
% 3.96/4.14 (r(z, s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1583, 12871])).
% 3.96/4.14 tff(12873,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12874,plain,
% 3.96/4.14 (((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12875,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12874])).
% 3.96/4.14 tff(12876,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 3.96/4.14 inference(transitivity,[status(thm)],[12875, 12873])).
% 3.96/4.14 tff(12877,plain,
% 3.96/4.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 3.96/4.14 inference(quant_inst,[status(thm)],[])).
% 3.96/4.14 tff(12878,plain,
% 3.96/4.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(elem!1))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 3.96/4.14 tff(12879,plain,
% 3.96/4.14 ($false),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12878, 125, 1565, 765, 1672, 411, 269])).
% 3.96/4.14 tff(12880,plain,((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.14 tff(12881,plain,
% 3.96/4.14 (~r(s(z), s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12880, 12872, 765, 411, 12774])).
% 3.96/4.14 tff(12882,plain,
% 3.96/4.14 (b(s(z), s(elem!1))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[1655, 12881, 12807])).
% 3.96/4.14 tff(12883,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12884,plain,
% 3.96/4.14 (((~b(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)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(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)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12885,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12884])).
% 3.96/4.14 tff(12886,plain,
% 3.96/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.14 inference(transitivity,[status(thm)],[12885, 12883])).
% 3.96/4.14 tff(12887,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.14 inference(quant_inst,[status(thm)],[])).
% 3.96/4.14 tff(12888,plain,
% 3.96/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 3.96/4.14 tff(12889,plain,
% 3.96/4.14 ((~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1)))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12888, 91, 12864, 2374, 12808])).
% 3.96/4.14 tff(12890,plain,
% 3.96/4.14 (~b(s(elem!1), s(s(elem!1)))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[12889, 12882])).
% 3.96/4.14 tff(12891,plain,
% 3.96/4.14 (r(s(elem!1), s(s(elem!1)))),
% 3.96/4.14 inference(unit_resolution,[status(thm)],[2905, 12890, 1905])).
% 3.96/4.14 tff(12892,plain,
% 3.96/4.14 (inj_0(s(s(s(s(z))))) = inj_0(s(s(elem!1)))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.14 tff(12893,plain,
% 3.96/4.14 (s(s(s(z))) = s(elem!1)),
% 3.96/4.14 inference(transitivity,[status(thm)],[20, 12892, 1329])).
% 3.96/4.14 tff(12894,plain,
% 3.96/4.14 (inj_0(s(s(s(z)))) = inj_0(s(elem!1))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12893])).
% 3.96/4.14 tff(12895,plain,
% 3.96/4.14 (s(s(z)) = elem!1),
% 3.96/4.14 inference(transitivity,[status(thm)],[39, 12894, 1443])).
% 3.96/4.14 tff(12896,plain,
% 3.96/4.14 (b(s(s(elem!1)), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 3.96/4.14 inference(monotonicity,[status(thm)],[12895])).
% 3.96/4.14 tff(12897,plain,
% 3.96/4.14 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), s(s(z)))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.14 tff(12898,plain,
% 3.96/4.14 (b(s(s(s(s(z)))), s(s(z))) <=> b(s(s(elem!1)), elem!1)),
% 3.96/4.14 inference(transitivity,[status(thm)],[12897, 12896])).
% 3.96/4.14 tff(12899,plain,
% 3.96/4.14 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.96/4.14 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.14 tff(12900,plain,
% 3.96/4.14 (r(s(elem!1), s(s(elem!1))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 3.96/4.14 inference(symmetry,[status(thm)],[12899])).
% 3.96/4.14 tff(12901,plain,
% 3.96/4.14 (r(s(elem!1), s(s(s(s(z)))))),
% 3.96/4.14 inference(modus_ponens,[status(thm)],[2201, 12900])).
% 3.96/4.14 tff(12902,plain,
% 3.96/4.14 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.96/4.14 inference(rewrite,[status(thm)],[])).
% 3.96/4.14 tff(12903,plain,
% 3.96/4.14 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(elem!1)))) <=> ((~r(z, s(s(z)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12904,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z))))))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12903])).
% 3.96/4.15 tff(12905,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.96/4.15 inference(transitivity,[status(thm)],[12904, 12902])).
% 3.96/4.15 tff(12906,plain,
% 3.96/4.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(elem!1))))),
% 3.96/4.15 inference(quant_inst,[status(thm)],[])).
% 3.96/4.15 tff(12907,plain,
% 3.96/4.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z))))))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12906, 12905])).
% 3.96/4.15 tff(12908,plain,
% 3.96/4.15 ($false),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12907, 125, 1565, 3403, 1589, 3102, 80])).
% 3.96/4.15 tff(12909,plain,((~r(z, s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.15 tff(12910,plain,
% 3.96/4.15 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12909, 3403, 12901, 1565, 80])).
% 3.96/4.15 tff(12911,plain,
% 3.96/4.15 (b(s(s(s(s(z)))), s(s(z)))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[938, 12910])).
% 3.96/4.15 tff(12912,plain,
% 3.96/4.15 (b(s(s(elem!1)), elem!1)),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12911, 12898])).
% 3.96/4.15 tff(12913,plain,
% 3.96/4.15 (inj_0(s(elem!1)) = inj_0(s(s(s(z))))),
% 3.96/4.15 inference(symmetry,[status(thm)],[12894])).
% 3.96/4.15 tff(12914,plain,
% 3.96/4.15 (elem!1 = s(s(z))),
% 3.96/4.15 inference(transitivity,[status(thm)],[1444, 12913, 13])).
% 3.96/4.15 tff(12915,plain,
% 3.96/4.15 (b(elem!1, s(elem!1)) <=> b(s(s(z)), s(elem!1))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12914])).
% 3.96/4.15 tff(12916,plain,
% 3.96/4.15 (b(s(s(z)), s(elem!1)) <=> b(elem!1, s(elem!1))),
% 3.96/4.15 inference(symmetry,[status(thm)],[12915])).
% 3.96/4.15 tff(12917,plain,
% 3.96/4.15 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.96/4.15 inference(symmetry,[status(thm)],[1414])).
% 3.96/4.15 tff(12918,plain,
% 3.96/4.15 (inj_0(s(s(elem!1))) = inj_0(s(s(s(s(z)))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12917])).
% 3.96/4.15 tff(12919,plain,
% 3.96/4.15 (inj_0(s(s(s(s(z))))) = inj_0(s(s(elem!1)))),
% 3.96/4.15 inference(symmetry,[status(thm)],[12918])).
% 3.96/4.15 tff(12920,plain,
% 3.96/4.15 (s(s(s(elem!1))) = s(s(s(s(z))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[2351])).
% 3.96/4.15 tff(12921,plain,
% 3.96/4.15 (s(s(s(s(s(z))))) = s(s(s(elem!1)))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.15 tff(12922,plain,
% 3.96/4.15 (s(s(s(s(s(z))))) = s(elem!1)),
% 3.96/4.15 inference(transitivity,[status(thm)],[12921, 12920, 1414, 2351, 20, 12919, 1329])).
% 3.96/4.15 tff(12923,plain,
% 3.96/4.15 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[2354, 2345])).
% 3.96/4.15 tff(12924,plain,
% 3.96/4.15 ($false),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12923, 12922])).
% 3.96/4.15 tff(12925,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~(s(s(z)) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.15 tff(12926,plain,
% 3.96/4.15 (~(s(s(z)) = s(elem!1))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12925, 1414])).
% 3.96/4.15 tff(12927,plain,
% 3.96/4.15 (~r(s(s(z)), s(elem!1))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[3411, 3403, 1565, 2201, 1376])).
% 3.96/4.15 tff(12928,plain,
% 3.96/4.15 (b(s(s(z)), s(elem!1))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[3419, 12927, 12926])).
% 3.96/4.15 tff(12929,plain,
% 3.96/4.15 (b(elem!1, s(elem!1))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12928, 12916])).
% 3.96/4.15 tff(12930,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12931,plain,
% 3.96/4.15 (((~b(elem!1, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12932,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12931])).
% 3.96/4.15 tff(12933,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.15 inference(transitivity,[status(thm)],[12932, 12930])).
% 3.96/4.15 tff(12934,plain,
% 3.96/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(elem!1)), elem!1)) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.96/4.15 inference(quant_inst,[status(thm)],[])).
% 3.96/4.15 tff(12935,plain,
% 3.96/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(elem!1))) | (~b(s(s(elem!1)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 3.96/4.15 tff(12936,plain,
% 3.96/4.15 ($false),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12935, 91, 12929, 1757, 12912, 1642, 1737, 526])).
% 3.96/4.15 tff(12937,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~(s(s(s(s(z)))) = s(s(elem!1)))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.15 tff(12938,plain,
% 3.96/4.15 (~r(z, s(s(z)))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12937, 12882, 1757, 12808, 526, 1414, 12872, 80, 12891, 1376])).
% 3.96/4.15 tff(12939,plain,
% 3.96/4.15 (b(z, s(s(z)))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[3400, 12938])).
% 3.96/4.15 tff(12940,plain,
% 3.96/4.15 (~b(s(z), s(s(z)))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[11181, 12939, 565, 76, 74, 526])).
% 3.96/4.15 tff(12941,plain,
% 3.96/4.15 (r(s(z), s(s(z)))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[1004, 12940])).
% 3.96/4.15 tff(12942,plain,
% 3.96/4.15 (r(s(z), s(s(z))) <=> r(s(z), elem!1)),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12895])).
% 3.96/4.15 tff(12943,plain,
% 3.96/4.15 (r(s(z), elem!1) <=> r(s(z), s(s(z)))),
% 3.96/4.15 inference(symmetry,[status(thm)],[12942])).
% 3.96/4.15 tff(12944,plain,
% 3.96/4.15 ((~r(s(z), elem!1)) <=> (~r(s(z), s(s(z))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12943])).
% 3.96/4.15 tff(12945,assumption,(~r(s(z), elem!1)), introduced(assumption)).
% 3.96/4.15 tff(12946,plain,
% 3.96/4.15 (~r(s(z), s(s(z)))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 3.96/4.15 tff(12947,plain,
% 3.96/4.15 ($false),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[4499, 12946])).
% 3.96/4.15 tff(12948,plain,(r(s(z), elem!1) | (~r(s(z), s(s(z)))) | (~(s(s(s(s(z)))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.15 tff(12949,plain,
% 3.96/4.15 (r(s(z), elem!1)),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12948, 12941, 1414])).
% 3.96/4.15 tff(12950,assumption,(r(s(z), elem!1)), introduced(assumption)).
% 3.96/4.15 tff(12951,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12952,plain,
% 3.96/4.15 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12953,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), elem!1))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12952])).
% 3.96/4.15 tff(12954,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 3.96/4.15 inference(transitivity,[status(thm)],[12953, 12951])).
% 3.96/4.15 tff(12955,plain,
% 3.96/4.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1)))),
% 3.96/4.15 inference(quant_inst,[status(thm)],[])).
% 3.96/4.15 tff(12956,plain,
% 3.96/4.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), elem!1))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12955, 12954])).
% 3.96/4.15 tff(12957,plain,
% 3.96/4.15 ($false),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12956, 125, 2072, 765, 12950, 411, 269])).
% 3.96/4.15 tff(12958,plain,((~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), elem!1)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.15 tff(12959,plain,
% 3.96/4.15 (~r(elem!1, s(s(s(s(s(s(z)))))))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12958, 12949, 765, 411, 12774])).
% 3.96/4.15 tff(12960,plain,
% 3.96/4.15 (b(elem!1, s(s(s(s(s(s(z)))))))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[1833, 12959, 12799])).
% 3.96/4.15 tff(12961,plain,
% 3.96/4.15 (b(z, s(s(z))) <=> b(z, elem!1)),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12895])).
% 3.96/4.15 tff(12962,plain,
% 3.96/4.15 (b(z, elem!1)),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12939, 12961])).
% 3.96/4.15 tff(12963,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12964,plain,
% 3.96/4.15 (((~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1)))) <=> ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12965,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12964])).
% 3.96/4.15 tff(12966,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 3.96/4.15 inference(transitivity,[status(thm)],[12965, 12963])).
% 3.96/4.15 tff(12967,plain,
% 3.96/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(elem!1))))),
% 3.96/4.15 inference(quant_inst,[status(thm)],[])).
% 3.96/4.15 tff(12968,plain,
% 3.96/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(s(elem!1), z)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 3.96/4.15 tff(12969,plain,
% 3.96/4.15 ($false),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12968, 91, 1707, 2129, 1838, 2374, 3586, 1545])).
% 3.96/4.15 tff(12970,plain,((~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(z, elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.15 tff(12971,plain,
% 3.96/4.15 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12970, 12962, 12864, 12960, 2374, 12785])).
% 3.96/4.15 tff(12972,plain,
% 3.96/4.15 (r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[1542, 12971, 12783])).
% 3.96/4.15 tff(12973,plain,
% 3.96/4.15 (r(z, s(s(s(z)))) <=> r(z, s(elem!1))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12893])).
% 3.96/4.15 tff(12974,plain,
% 3.96/4.15 (r(z, s(elem!1)) <=> r(z, s(s(s(z))))),
% 3.96/4.15 inference(symmetry,[status(thm)],[12973])).
% 3.96/4.15 tff(12975,plain,
% 3.96/4.15 (r(z, s(s(s(z))))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12872, 12974])).
% 3.96/4.15 tff(12976,plain,
% 3.96/4.15 (r(s(s(s(z))), s(s(s(s(z))))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[1414])).
% 3.96/4.15 tff(12977,plain,
% 3.96/4.15 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 3.96/4.15 inference(symmetry,[status(thm)],[12976])).
% 3.96/4.15 tff(12978,plain,
% 3.96/4.15 (r(s(s(s(z))), s(s(elem!1))) <=> r(s(elem!1), s(s(elem!1)))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12893])).
% 3.96/4.15 tff(12979,plain,
% 3.96/4.15 (r(s(elem!1), s(s(elem!1))) <=> r(s(s(s(z))), s(s(elem!1)))),
% 3.96/4.15 inference(symmetry,[status(thm)],[12978])).
% 3.96/4.15 tff(12980,plain,
% 3.96/4.15 (r(s(elem!1), s(s(elem!1))) <=> r(s(s(s(z))), s(s(s(s(z)))))),
% 3.96/4.15 inference(transitivity,[status(thm)],[12979, 12977])).
% 3.96/4.15 tff(12981,plain,
% 3.96/4.15 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12891, 12980])).
% 3.96/4.15 tff(12982,assumption,(r(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 3.96/4.15 tff(12983,assumption,(r(z, s(s(s(z))))), introduced(assumption)).
% 3.96/4.15 tff(12984,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12985,plain,
% 3.96/4.15 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~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(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12986,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12985])).
% 3.96/4.15 tff(12987,plain,
% 3.96/4.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.96/4.15 inference(transitivity,[status(thm)],[12986, 12984])).
% 3.96/4.15 tff(12988,plain,
% 3.96/4.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 3.96/4.15 inference(quant_inst,[status(thm)],[])).
% 3.96/4.15 tff(12989,plain,
% 3.96/4.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.96/4.15 inference(modus_ponens,[status(thm)],[12988, 12987])).
% 3.96/4.15 tff(12990,plain,
% 3.96/4.15 ($false),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12989, 125, 75, 80, 12983, 115, 12982])).
% 3.96/4.15 tff(12991,plain,((~r(z, s(s(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(s(s(z))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.15 tff(12992,plain,
% 3.96/4.15 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[12991, 12981, 80, 75, 12975])).
% 3.96/4.15 tff(12993,plain,
% 3.96/4.15 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.15 inference(unit_resolution,[status(thm)],[689, 12992])).
% 3.96/4.15 tff(12994,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12995,plain,
% 3.96/4.15 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.96/4.15 inference(rewrite,[status(thm)],[])).
% 3.96/4.15 tff(12996,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))))),
% 3.96/4.15 inference(monotonicity,[status(thm)],[12995])).
% 3.96/4.15 tff(12997,plain,
% 3.96/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.96/4.15 inference(transitivity,[status(thm)],[12996, 12994])).
% 3.96/4.16 tff(12998,plain,
% 3.96/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.96/4.16 inference(quant_inst,[status(thm)],[])).
% 3.96/4.16 tff(12999,plain,
% 3.96/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 3.96/4.16 tff(13000,plain,
% 3.96/4.16 ($false),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[12999, 91, 1757, 79, 1073, 669, 74, 12365])).
% 3.96/4.16 tff(13001,plain,((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.16 tff(13002,plain,
% 3.96/4.16 (~b(s(s(s(s(s(z))))), s(s(elem!1)))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13001, 12993, 1073, 1757, 74, 79])).
% 3.96/4.16 tff(13003,plain,
% 3.96/4.16 (r(s(s(s(s(s(z))))), s(s(elem!1)))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1884, 64, 1881, 13002])).
% 3.96/4.16 tff(13004,plain,
% 3.96/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13005,plain,
% 3.96/4.16 (((~r(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z))))))))) <=> ((~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13006,plain,
% 3.96/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))))),
% 3.96/4.16 inference(monotonicity,[status(thm)],[13005])).
% 3.96/4.16 tff(13007,plain,
% 3.96/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(elem!1)))))),
% 3.96/4.16 inference(transitivity,[status(thm)],[13006, 13004])).
% 3.96/4.16 tff(13008,plain,
% 3.96/4.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 3.96/4.16 inference(quant_inst,[status(thm)],[])).
% 3.96/4.16 tff(13009,plain,
% 3.96/4.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(s(z))))), s(s(elem!1))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13008, 13007])).
% 3.96/4.16 tff(13010,plain,
% 3.96/4.16 ((~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(s(elem!1), s(s(s(s(s(s(z))))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13009, 125, 203, 12891, 13003])).
% 3.96/4.16 tff(13011,plain,
% 3.96/4.16 (~r(s(elem!1), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13010, 12972])).
% 3.96/4.16 tff(13012,plain,
% 3.96/4.16 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(s(z)))))) | b(s(elem!1), s(s(s(s(s(z)))))) | r(s(elem!1), s(s(s(s(s(z)))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(s(z)))))) | b(s(elem!1), s(s(s(s(s(z)))))) | r(s(elem!1), s(s(s(s(s(z)))))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13013,plain,
% 3.96/4.16 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(elem!1) = s(s(s(s(s(z)))))) | b(s(elem!1), s(s(s(s(s(z)))))) | r(s(elem!1), s(s(s(s(s(z)))))))),
% 3.96/4.16 inference(quant_inst,[status(thm)],[])).
% 3.96/4.16 tff(13014,plain,
% 3.96/4.16 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(elem!1) = s(s(s(s(s(z)))))) | b(s(elem!1), s(s(s(s(s(z)))))) | r(s(elem!1), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13013, 13012])).
% 3.96/4.16 tff(13015,plain,
% 3.96/4.16 (b(s(elem!1), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13014, 64, 13011, 12782])).
% 3.96/4.16 tff(13016,plain,
% 3.96/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13017,plain,
% 3.96/4.16 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13018,plain,
% 3.96/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))))),
% 3.96/4.16 inference(monotonicity,[status(thm)],[13017])).
% 3.96/4.16 tff(13019,plain,
% 3.96/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.16 inference(transitivity,[status(thm)],[13018, 13016])).
% 3.96/4.16 tff(13020,plain,
% 3.96/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))))),
% 3.96/4.16 inference(quant_inst,[status(thm)],[])).
% 3.96/4.16 tff(13021,plain,
% 3.96/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(s(s(s(z))))))) | (~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(elem!1)), z)) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1)))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13020, 13019])).
% 3.96/4.16 tff(13022,plain,
% 3.96/4.16 ($false),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13021, 91, 2374, 79, 12882, 12808, 12785, 13015])).
% 3.96/4.16 tff(13023,plain,((~b(s(s(elem!1)), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~(s(s(s(s(z)))) = s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(elem!1)))) | (s(s(s(s(s(z))))) = s(s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (s(elem!1) = s(s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.16 tff(13024,plain,
% 3.96/4.16 (~b(s(s(elem!1)), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13023, 1414, 203, 79, 765, 411, 565, 76, 74, 526, 1757, 80, 1376, 1764, 12286, 75, 12772])).
% 3.96/4.16 tff(13025,plain,
% 3.96/4.16 (r(s(s(elem!1)), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1932, 13024, 12770])).
% 3.96/4.16 tff(13026,plain,
% 3.96/4.16 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[12267, 12286, 565, 76, 74, 526])).
% 3.96/4.16 tff(13027,plain,
% 3.96/4.16 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[295, 13026])).
% 3.96/4.16 tff(13028,plain,
% 3.96/4.16 (~r(s(z), s(s(elem!1)))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[12318, 1376, 765, 411, 13027])).
% 3.96/4.16 tff(13029,plain,
% 3.96/4.16 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1397, 13028, 13027])).
% 3.96/4.16 tff(13030,plain,
% 3.96/4.16 (r(s(s(s(s(z)))), s(s(s(z)))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.96/4.16 inference(monotonicity,[status(thm)],[1414, 12893])).
% 3.96/4.16 tff(13031,plain,
% 3.96/4.16 (r(s(s(elem!1)), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(z))))),
% 3.96/4.16 inference(symmetry,[status(thm)],[13030])).
% 3.96/4.16 tff(13032,plain,
% 3.96/4.16 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[3712, 13031])).
% 3.96/4.16 tff(13033,assumption,(~r(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 3.96/4.16 tff(13034,plain,
% 3.96/4.16 ($false),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13033, 13032])).
% 3.96/4.16 tff(13035,plain,((~r(s(s(elem!1)), s(elem!1))) | r(s(s(s(s(z)))), s(s(s(z)))) | (~(s(s(s(s(z)))) = s(s(elem!1))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.16 tff(13036,plain,
% 3.96/4.16 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13035, 13025, 1414])).
% 3.96/4.16 tff(13037,plain,
% 3.96/4.16 (b(s(z), s(s(elem!1)))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[12320, 13028])).
% 3.96/4.16 tff(13038,plain,
% 3.96/4.16 (~r(s(elem!1), z)),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[12862, 12806, 411, 13027, 13037, 526, 765, 12783, 12286, 1757, 203, 75])).
% 3.96/4.16 tff(13039,plain,
% 3.96/4.16 (b(s(elem!1), z)),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1669, 13038])).
% 3.96/4.16 tff(13040,plain,
% 3.96/4.16 (r(s(s(s(s(s(z))))), s(s(s(z)))) <=> r(s(s(s(s(s(z))))), s(elem!1))),
% 3.96/4.16 inference(monotonicity,[status(thm)],[12893])).
% 3.96/4.16 tff(13041,plain,
% 3.96/4.16 (r(s(s(s(s(s(z))))), s(elem!1)) <=> r(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.96/4.16 inference(symmetry,[status(thm)],[13040])).
% 3.96/4.16 tff(13042,plain,
% 3.96/4.16 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[3267, 1605, 79, 1707])).
% 3.96/4.16 tff(13043,plain,
% 3.96/4.16 (r(s(s(s(s(s(z))))), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1718, 13042, 1425])).
% 3.96/4.16 tff(13044,plain,
% 3.96/4.16 (r(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13043, 13041])).
% 3.96/4.16 tff(13045,assumption,(r(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 3.96/4.16 tff(13046,plain,
% 3.96/4.16 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[12410, 1605, 79, 1707, 74])).
% 3.96/4.16 tff(13047,plain,
% 3.96/4.16 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[689, 13046])).
% 3.96/4.16 tff(13048,plain,
% 3.96/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13049,plain,
% 3.96/4.16 (((~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13050,plain,
% 3.96/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(z)))))))),
% 3.96/4.16 inference(monotonicity,[status(thm)],[13049])).
% 3.96/4.16 tff(13051,plain,
% 3.96/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(z))))))),
% 3.96/4.16 inference(transitivity,[status(thm)],[13050, 13048])).
% 3.96/4.16 tff(13052,plain,
% 3.96/4.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.96/4.16 inference(quant_inst,[status(thm)],[])).
% 3.96/4.16 tff(13053,plain,
% 3.96/4.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(z)))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13052, 13051])).
% 3.96/4.16 tff(13054,plain,
% 3.96/4.16 ($false),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13053, 125, 203, 347, 13045, 115, 3193])).
% 3.96/4.16 tff(13055,plain,((~r(s(s(s(s(s(z))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(z)))))), 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)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.16 tff(13056,plain,
% 3.96/4.16 (~r(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13055, 13047, 13045, 347, 203])).
% 3.96/4.16 tff(13057,plain,
% 3.96/4.16 ($false),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13056, 13044])).
% 3.96/4.16 tff(13058,plain,((~b(z, s(elem!1))) | (~(s(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (s(s(s(s(s(z))))) = s(elem!1)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.16 tff(13059,plain,
% 3.96/4.16 (~b(z, s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13058, 1414, 13036, 347, 203, 13029, 79, 13039, 74])).
% 3.96/4.16 tff(13060,plain,
% 3.96/4.16 (r(z, s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1583, 13059])).
% 3.96/4.16 tff(13061,plain,
% 3.96/4.16 (~r(s(z), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[12880, 13060, 765, 411, 13027])).
% 3.96/4.16 tff(13062,plain,
% 3.96/4.16 (b(s(z), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1655, 13061, 12807])).
% 3.96/4.16 tff(13063,plain,
% 3.96/4.16 (b(s(s(elem!1)), s(s(s(s(s(z)))))) <=> b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(monotonicity,[status(thm)],[12917])).
% 3.96/4.16 tff(13064,plain,
% 3.96/4.16 (b(s(s(s(s(z)))), s(s(s(s(s(z)))))) <=> b(s(s(elem!1)), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(symmetry,[status(thm)],[13063])).
% 3.96/4.16 tff(13065,plain,
% 3.96/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13066,plain,
% 3.96/4.16 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1)))) <=> ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13067,plain,
% 3.96/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))))),
% 3.96/4.16 inference(monotonicity,[status(thm)],[13066])).
% 3.96/4.16 tff(13068,plain,
% 3.96/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 3.96/4.16 inference(transitivity,[status(thm)],[13067, 13065])).
% 3.96/4.16 tff(13069,plain,
% 3.96/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))))),
% 3.96/4.16 inference(quant_inst,[status(thm)],[])).
% 3.96/4.16 tff(13070,plain,
% 3.96/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13069, 13068])).
% 3.96/4.16 tff(13071,plain,
% 3.96/4.16 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13070, 91, 1707, 1757, 1835, 79, 1073])).
% 3.96/4.16 tff(13072,plain,
% 3.96/4.16 (r(s(s(s(s(s(z))))), s(elem!1))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[1718, 13071, 1425])).
% 3.96/4.16 tff(13073,plain,
% 3.96/4.16 (r(s(s(s(s(s(z))))), s(s(s(z))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13072, 13041])).
% 3.96/4.16 tff(13074,plain,
% 3.96/4.16 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[13055, 13073, 13045, 347, 203])).
% 3.96/4.16 tff(13075,plain,
% 3.96/4.16 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(unit_resolution,[status(thm)],[689, 13074])).
% 3.96/4.16 tff(13076,plain,
% 3.96/4.16 (b(s(s(elem!1)), s(s(s(s(s(z))))))),
% 3.96/4.16 inference(modus_ponens,[status(thm)],[13075, 13064])).
% 3.96/4.16 tff(13077,plain,
% 3.96/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), 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(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), 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(s(s(s(s(z))))))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13078,plain,
% 3.96/4.16 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(s(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(elem!1), z)) | (~b(s(s(s(s(s(z))))), 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(s(s(s(s(z))))))))),
% 3.96/4.16 inference(rewrite,[status(thm)],[])).
% 3.96/4.16 tff(13079,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), 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(s(s(s(s(z)))))))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[13078])).
% 3.96/4.17 tff(13080,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), 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(s(s(s(s(z))))))))),
% 3.96/4.17 inference(transitivity,[status(thm)],[13079, 13077])).
% 3.96/4.17 tff(13081,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(s(s(z))))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.17 inference(quant_inst,[status(thm)],[])).
% 3.96/4.17 tff(13082,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(s(s(s(z)))))))),
% 3.96/4.17 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 3.96/4.17 tff(13083,plain,
% 3.96/4.17 ($false),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13082, 91, 1707, 1835, 79, 1642, 1737, 13076])).
% 3.96/4.17 tff(13084,plain,((~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(elem!1)))) | (~(s(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (s(s(s(s(s(z))))) = s(elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.17 tff(13085,plain,
% 3.96/4.17 (~b(s(elem!1), s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13084, 13039, 79, 13062, 13037, 1414, 13036, 347, 203, 13029, 1757, 12286])).
% 3.96/4.17 tff(13086,plain,
% 3.96/4.17 (r(s(elem!1), s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[2905, 13085, 12772])).
% 3.96/4.17 tff(13087,plain,
% 3.96/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13088,plain,
% 3.96/4.17 (((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~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(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13089,plain,
% 3.96/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[13088])).
% 3.96/4.17 tff(13090,plain,
% 3.96/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 3.96/4.17 inference(transitivity,[status(thm)],[13089, 13087])).
% 3.96/4.17 tff(13091,plain,
% 3.96/4.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(z, s(elem!1))))),
% 3.96/4.17 inference(quant_inst,[status(thm)],[])).
% 3.96/4.17 tff(13092,plain,
% 3.96/4.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))),
% 3.96/4.17 inference(modus_ponens,[status(thm)],[13091, 13090])).
% 3.96/4.17 tff(13093,plain,
% 3.96/4.17 ($false),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13092, 125, 13060, 13086, 1376, 13025])).
% 3.96/4.17 tff(13094,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (~r(z, s(s(elem!1)))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (s(elem!1) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.17 tff(13095,plain,
% 3.96/4.17 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13094, 1376, 79, 347, 12257, 12738, 765, 411, 12256, 565, 76, 526, 80, 75, 12766])).
% 3.96/4.17 tff(13096,plain,
% 3.96/4.17 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[1851, 13095, 12761])).
% 3.96/4.17 tff(13097,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13098,plain,
% 3.96/4.17 (((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13099,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[13098])).
% 3.96/4.17 tff(13100,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.96/4.17 inference(transitivity,[status(thm)],[13099, 13097])).
% 3.96/4.17 tff(13101,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.96/4.17 inference(quant_inst,[status(thm)],[])).
% 3.96/4.17 tff(13102,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.96/4.17 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 3.96/4.17 tff(13103,plain,
% 3.96/4.17 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13102, 91, 13096, 12738, 79, 12271, 12256])).
% 3.96/4.17 tff(13104,plain,
% 3.96/4.17 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[369, 13103])).
% 3.96/4.17 tff(13105,plain,
% 3.96/4.17 (~r(z, s(z))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[10498, 13104, 544, 80, 75])).
% 3.96/4.17 tff(13106,plain,
% 3.96/4.17 (b(z, s(z))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[267, 13105])).
% 3.96/4.17 tff(13107,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13108,plain,
% 3.96/4.17 (((~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13109,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[13108])).
% 3.96/4.17 tff(13110,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 3.96/4.17 inference(transitivity,[status(thm)],[13109, 13107])).
% 3.96/4.17 tff(13111,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.96/4.17 inference(quant_inst,[status(thm)],[])).
% 3.96/4.17 tff(13112,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 3.96/4.17 inference(modus_ponens,[status(thm)],[13111, 13110])).
% 3.96/4.17 tff(13113,plain,
% 3.96/4.17 ($false),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13112, 91, 13096, 12738, 565, 13106, 12271, 526])).
% 3.96/4.17 tff(13114,plain,((~r(z, s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), 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(s(s(z)))))) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 3.96/4.17 tff(13115,plain,
% 3.96/4.17 (~r(z, s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13114, 347, 526, 544, 12212, 1203, 79, 565, 765, 411, 76, 1306, 308])).
% 3.96/4.17 tff(13116,plain,
% 3.96/4.17 (b(z, s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[2271, 13115])).
% 3.96/4.17 tff(13117,plain,
% 3.96/4.17 (b(z, s(s(elem!1))) <=> b(z, s(s(s(s(z)))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[12280])).
% 3.96/4.17 tff(13118,plain,
% 3.96/4.17 (b(z, s(s(s(s(z))))) <=> b(z, s(s(elem!1)))),
% 3.96/4.17 inference(symmetry,[status(thm)],[13117])).
% 3.96/4.17 tff(13119,plain,
% 3.96/4.17 ((~b(z, s(s(s(s(z)))))) <=> (~b(z, s(s(elem!1))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[13118])).
% 3.96/4.17 tff(13120,plain,
% 3.96/4.17 (~b(z, s(s(elem!1)))),
% 3.96/4.17 inference(modus_ponens,[status(thm)],[78, 13119])).
% 3.96/4.17 tff(13121,plain,
% 3.96/4.17 ($false),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[2273, 13120])).
% 3.96/4.17 tff(13122,plain,((~(s(s(elem!1)) = s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.17 tff(13123,plain,
% 3.96/4.17 (~(s(s(elem!1)) = s(s(s(s(z)))))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13122, 13116, 78])).
% 3.96/4.17 tff(13124,plain,
% 3.96/4.17 (s(s(elem!1)) = s(s(s(s(z))))),
% 3.96/4.17 inference(modus_ponens,[status(thm)],[1414, 2568])).
% 3.96/4.17 tff(13125,plain,
% 3.96/4.17 ($false),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[2590, 13124])).
% 3.96/4.17 tff(13126,plain,((~(s(s(s(s(z)))) = s(s(elem!1)))) | (s(s(elem!1)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.17 tff(13127,plain,
% 3.96/4.17 (~(s(s(s(s(z)))) = s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13126, 13123])).
% 3.96/4.17 tff(13128,plain,
% 3.96/4.17 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[12334, 1404, 544, 347, 269])).
% 3.96/4.17 tff(13129,plain,
% 3.96/4.17 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[1851, 13128, 1756])).
% 3.96/4.17 tff(13130,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13131,plain,
% 3.96/4.17 (((~b(z, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(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(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13132,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[13131])).
% 3.96/4.17 tff(13133,plain,
% 3.96/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)))),
% 3.96/4.17 inference(transitivity,[status(thm)],[13132, 13130])).
% 3.96/4.17 tff(13134,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)))),
% 3.96/4.17 inference(quant_inst,[status(thm)],[])).
% 3.96/4.17 tff(13135,plain,
% 3.96/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z))),
% 3.96/4.17 inference(modus_ponens,[status(thm)],[13134, 13133])).
% 3.96/4.17 tff(13136,plain,
% 3.96/4.17 ($false),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13135, 91, 1837, 2273, 74, 3586])).
% 3.96/4.17 tff(13137,plain,((~b(s(s(elem!1)), z)) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.17 tff(13138,plain,
% 3.96/4.17 (~b(s(s(elem!1)), z)),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[13137, 13129, 2273, 74])).
% 3.96/4.17 tff(13139,plain,
% 3.96/4.17 (r(s(s(elem!1)), z)),
% 3.96/4.17 inference(unit_resolution,[status(thm)],[1872, 13138])).
% 3.96/4.17 tff(13140,plain,
% 3.96/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13141,plain,
% 3.96/4.17 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)))),
% 3.96/4.17 inference(rewrite,[status(thm)],[])).
% 3.96/4.17 tff(13142,plain,
% 3.96/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z))))),
% 3.96/4.17 inference(monotonicity,[status(thm)],[13141])).
% 3.96/4.18 tff(13143,plain,
% 3.96/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z)))),
% 3.96/4.18 inference(transitivity,[status(thm)],[13142, 13140])).
% 3.96/4.18 tff(13144,plain,
% 3.96/4.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))))),
% 3.96/4.18 inference(quant_inst,[status(thm)],[])).
% 3.96/4.18 tff(13145,plain,
% 3.96/4.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(elem!1)), z))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[13144, 13143])).
% 3.96/4.18 tff(13146,plain,
% 3.96/4.18 ($false),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13145, 125, 765, 75, 203, 1404, 13139])).
% 3.96/4.18 tff(13147,plain,((~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (s(s(s(s(z)))) = s(s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.18 tff(13148,plain,
% 3.96/4.18 (~r(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13147, 13116, 1203, 12257, 765, 12256, 13127, 544, 347, 12269])).
% 3.96/4.18 tff(13149,plain,
% 3.96/4.18 (~(s(elem!1) = s(s(s(s(z)))))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[2300, 13116, 101])).
% 3.96/4.18 tff(13150,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13151,plain,
% 3.96/4.18 (((~b(z, s(s(elem!1)))) | (~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(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13152,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1))))))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13151])).
% 3.96/4.18 tff(13153,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1)))))),
% 3.96/4.18 inference(transitivity,[status(thm)],[13152, 13150])).
% 3.96/4.18 tff(13154,plain,
% 3.96/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(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(z))))),
% 3.96/4.18 inference(quant_inst,[status(thm)],[])).
% 3.96/4.18 tff(13155,plain,
% 3.96/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(elem!1))))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[13154, 13153])).
% 3.96/4.18 tff(13156,plain,
% 3.96/4.18 ($false),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13155, 91, 2273, 76, 565, 74, 1737, 526])).
% 3.96/4.18 tff(13157,plain,((~b(s(z), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.18 tff(13158,plain,
% 3.96/4.18 (~b(s(z), s(s(elem!1)))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13157, 13116, 76, 565, 12256, 526])).
% 3.96/4.18 tff(13159,plain,
% 3.96/4.18 (r(s(z), s(s(elem!1)))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[12320, 13158])).
% 3.96/4.18 tff(13160,plain,
% 3.96/4.18 (elem!1 = s(s(s(s(z))))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1448, 1437])).
% 3.96/4.18 tff(13161,plain,
% 3.96/4.18 (s(s(s(s(z)))) = elem!1),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1435, 13160])).
% 3.96/4.18 tff(13162,plain,
% 3.96/4.18 (s(s(s(s(s(z))))) = s(elem!1)),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1427, 13161])).
% 3.96/4.18 tff(13163,plain,
% 3.96/4.18 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) <=> r(s(s(elem!1)), s(elem!1))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[1437, 13162])).
% 3.96/4.18 tff(13164,plain,
% 3.96/4.18 (r(s(s(elem!1)), s(elem!1))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[203, 13163])).
% 3.96/4.18 tff(13165,plain,
% 3.96/4.18 (r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) <=> r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[1437])).
% 3.96/4.18 tff(13166,plain,
% 3.96/4.18 (r(s(s(s(s(z)))), s(s(elem!1)))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[347, 13165])).
% 3.96/4.18 tff(13167,plain,
% 3.96/4.18 ((s(s(s(s(s(z))))) = s(s(elem!1))) <=> (s(elem!1) = s(s(elem!1)))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13162])).
% 3.96/4.18 tff(13168,plain,
% 3.96/4.18 ((~(s(s(s(s(s(z))))) = s(s(elem!1)))) <=> (~(s(elem!1) = s(s(elem!1))))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13167])).
% 3.96/4.18 tff(13169,plain,
% 3.96/4.18 (~(s(elem!1) = s(s(elem!1)))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[1764, 13168])).
% 3.96/4.18 tff(13170,plain,
% 3.96/4.18 (~(elem!1 = z)),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[2580, 1437])).
% 3.96/4.18 tff(13171,plain,
% 3.96/4.18 (~(s(elem!1) = s(z))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1703, 13170])).
% 3.96/4.18 tff(13172,plain,
% 3.96/4.18 (~(s(z) = s(elem!1))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1512, 13171])).
% 3.96/4.18 tff(13173,plain,
% 3.96/4.18 (r(s(s(s(s(s(s(z)))))), z) <=> r(s(s(elem!1)), z)),
% 3.96/4.18 inference(monotonicity,[status(thm)],[1437])).
% 3.96/4.18 tff(13174,plain,
% 3.96/4.18 (r(s(s(elem!1)), z) <=> r(s(s(s(s(s(s(z)))))), z)),
% 3.96/4.18 inference(symmetry,[status(thm)],[13173])).
% 3.96/4.18 tff(13175,plain,
% 3.96/4.18 ((~r(s(s(elem!1)), z)) <=> (~r(s(s(s(s(s(s(z)))))), z))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13174])).
% 3.96/4.18 tff(13176,plain,
% 3.96/4.18 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[1865, 13175])).
% 3.96/4.18 tff(13177,plain,
% 3.96/4.18 ($false),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[765, 13176])).
% 3.96/4.18 tff(13178,plain,((~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | r(s(s(elem!1)), z)), inference(lemma,lemma(discharge,[]))).
% 3.96/4.18 tff(13179,plain,
% 3.96/4.18 (r(s(s(elem!1)), z)),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13178, 1437, 765])).
% 3.96/4.18 tff(13180,plain,
% 3.96/4.18 (r(z, s(s(s(s(s(z)))))) <=> r(z, s(elem!1))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13162])).
% 3.96/4.18 tff(13181,plain,
% 3.96/4.18 (r(z, s(elem!1))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[75, 13180])).
% 3.96/4.18 tff(13182,plain,
% 3.96/4.18 (~r(s(z), s(elem!1))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[12880, 13181, 765, 411, 269])).
% 3.96/4.18 tff(13183,plain,
% 3.96/4.18 (b(s(z), s(elem!1))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1655, 13182, 13172])).
% 3.96/4.18 tff(13184,plain,
% 3.96/4.18 ((s(s(s(s(s(z))))) = s(elem!1)) <=> (s(elem!1) = s(s(s(s(s(z))))))),
% 3.96/4.18 inference(symmetry,[status(thm)],[12777])).
% 3.96/4.18 tff(13185,plain,
% 3.96/4.18 (s(elem!1) = s(s(s(s(s(z)))))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[1389, 13184])).
% 3.96/4.18 tff(13186,assumption,(~(s(elem!1) = s(s(s(s(s(z))))))), introduced(assumption)).
% 3.96/4.18 tff(13187,plain,
% 3.96/4.18 ($false),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13186, 13185])).
% 3.96/4.18 tff(13188,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | (s(elem!1) = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.18 tff(13189,plain,
% 3.96/4.18 (s(elem!1) = s(s(s(s(s(z)))))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13188, 13162])).
% 3.96/4.18 tff(13190,plain,
% 3.96/4.18 (b(s(elem!1), z) <=> b(s(s(s(s(s(z))))), z)),
% 3.96/4.18 inference(monotonicity,[status(thm)],[12778])).
% 3.96/4.18 tff(13191,plain,
% 3.96/4.18 (b(s(s(s(s(s(z))))), z) <=> b(s(elem!1), z)),
% 3.96/4.18 inference(symmetry,[status(thm)],[13190])).
% 3.96/4.18 tff(13192,plain,
% 3.96/4.18 (b(s(elem!1), z)),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[79, 13191])).
% 3.96/4.18 tff(13193,assumption,(~b(s(elem!1), z)), introduced(assumption)).
% 3.96/4.18 tff(13194,plain,
% 3.96/4.18 ($false),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13193, 13192])).
% 3.96/4.18 tff(13195,plain,((~(s(elem!1) = s(s(s(s(s(z))))))) | b(s(elem!1), z) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.18 tff(13196,plain,
% 3.96/4.18 (b(s(elem!1), z)),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13195, 13189, 79])).
% 3.96/4.18 tff(13197,plain,
% 3.96/4.18 (b(s(s(s(s(s(z))))), s(z)) <=> b(s(elem!1), s(z))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[1389])).
% 3.96/4.18 tff(13198,plain,
% 3.96/4.18 (r(s(s(s(s(s(z))))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[1389])).
% 3.96/4.18 tff(13199,plain,
% 3.96/4.18 (r(s(elem!1), s(s(s(s(z))))) <=> r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.96/4.18 inference(symmetry,[status(thm)],[13198])).
% 3.96/4.18 tff(13200,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13201,plain,
% 3.96/4.18 (((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13202,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1)))))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13201])).
% 3.96/4.18 tff(13203,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))))),
% 3.96/4.18 inference(transitivity,[status(thm)],[13202, 13200])).
% 3.96/4.18 tff(13204,plain,
% 3.96/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 3.96/4.18 inference(quant_inst,[status(thm)],[])).
% 3.96/4.18 tff(13205,plain,
% 3.96/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1)))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[13204, 13203])).
% 3.96/4.18 tff(13206,plain,
% 3.96/4.18 (~b(s(elem!1), s(s(s(s(z)))))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13205, 91, 1835, 2273, 565, 74, 1642])).
% 3.96/4.18 tff(13207,plain,
% 3.96/4.18 (r(s(elem!1), s(s(s(s(z)))))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1526, 13206, 1455])).
% 3.96/4.18 tff(13208,plain,
% 3.96/4.18 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[13207, 13199])).
% 3.96/4.18 tff(13209,plain,
% 3.96/4.18 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[133, 13208, 80, 75])).
% 3.96/4.18 tff(13210,plain,
% 3.96/4.18 (r(z, s(s(s(s(s(z)))))) <=> r(z, s(elem!1))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[1389])).
% 3.96/4.18 tff(13211,plain,
% 3.96/4.18 (r(z, s(elem!1))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[75, 13210])).
% 3.96/4.18 tff(13212,plain,
% 3.96/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), z)))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13213,plain,
% 3.96/4.18 (((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z)))) <=> ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), z)))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13214,plain,
% 3.96/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), z))))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13213])).
% 3.96/4.18 tff(13215,plain,
% 3.96/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), z)))),
% 3.96/4.18 inference(transitivity,[status(thm)],[13214, 13212])).
% 3.96/4.18 tff(13216,plain,
% 3.96/4.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(z), z)) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(z))))),
% 3.96/4.18 inference(quant_inst,[status(thm)],[])).
% 3.96/4.18 tff(13217,plain,
% 3.96/4.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(z))) | (~r(s(z), z))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 3.96/4.18 tff(13218,plain,
% 3.96/4.18 (~r(s(s(elem!1)), s(z))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13217, 125, 1565, 3712, 1853, 411])).
% 3.96/4.18 tff(13219,plain,
% 3.96/4.18 (b(s(s(elem!1)), s(z))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[12727, 13218])).
% 3.96/4.18 tff(13220,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13221,plain,
% 3.96/4.18 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13222,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z)))))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13221])).
% 3.96/4.18 tff(13223,plain,
% 3.96/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z))))),
% 3.96/4.18 inference(transitivity,[status(thm)],[13222, 13220])).
% 3.96/4.18 tff(13224,plain,
% 3.96/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.96/4.18 inference(quant_inst,[status(thm)],[])).
% 3.96/4.18 tff(13225,plain,
% 3.96/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(elem!1)), s(z)))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 3.96/4.18 tff(13226,plain,
% 3.96/4.18 (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13225, 91, 2273, 76, 565, 1073, 13219])).
% 3.96/4.18 tff(13227,plain,
% 3.96/4.18 (s(s(s(s(s(s(z)))))) = s(s(elem!1))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1453, 13226, 1418])).
% 3.96/4.18 tff(13228,plain,
% 3.96/4.18 (elem!1 = s(s(s(s(z))))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1448, 13227])).
% 3.96/4.18 tff(13229,plain,
% 3.96/4.18 (s(s(s(s(z)))) = elem!1),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1435, 13228])).
% 3.96/4.18 tff(13230,plain,
% 3.96/4.18 (s(s(s(s(s(z))))) = s(elem!1)),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1427, 13229])).
% 3.96/4.18 tff(13231,plain,
% 3.96/4.18 (~(s(s(z)) = s(elem!1))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[2354, 13230])).
% 3.96/4.18 tff(13232,plain,
% 3.96/4.18 (~(s(elem!1) = s(s(z)))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[2362, 13231])).
% 3.96/4.18 tff(13233,plain,
% 3.96/4.18 (r(s(s(s(s(z)))), s(s(s(s(s(z)))))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[1389])).
% 3.96/4.18 tff(13234,plain,
% 3.96/4.18 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.18 inference(symmetry,[status(thm)],[13233])).
% 3.96/4.18 tff(13235,plain,
% 3.96/4.18 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[1478, 13234])).
% 3.96/4.18 tff(13236,plain,
% 3.96/4.18 ($false),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[683, 13235])).
% 3.96/4.18 tff(13237,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | r(s(s(s(s(z)))), s(s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.18 tff(13238,plain,
% 3.96/4.18 (~r(s(s(s(s(z)))), s(elem!1))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13237, 13230, 683])).
% 3.96/4.18 tff(13239,plain,
% 3.96/4.18 (b(s(s(s(s(z)))), s(elem!1))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[1495, 13238, 1489])).
% 3.96/4.18 tff(13240,assumption,(s(s(elem!1)) = s(s(z))), introduced(assumption)).
% 3.96/4.18 tff(13241,plain,
% 3.96/4.18 (inj_0(s(s(elem!1))) = inj_0(s(s(z)))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13240])).
% 3.96/4.18 tff(13242,plain,
% 3.96/4.18 (inj_0(s(s(z))) = inj_0(s(s(elem!1)))),
% 3.96/4.18 inference(symmetry,[status(thm)],[13241])).
% 3.96/4.18 tff(13243,plain,
% 3.96/4.18 (s(z) = s(elem!1)),
% 3.96/4.18 inference(transitivity,[status(thm)],[35, 13242, 1329])).
% 3.96/4.18 tff(13244,plain,
% 3.96/4.18 ($false),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[12818, 13243])).
% 3.96/4.18 tff(13245,plain,((~(s(s(elem!1)) = s(s(z)))) | (s(z) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.18 tff(13246,plain,
% 3.96/4.18 (~(s(s(elem!1)) = s(s(z)))),
% 3.96/4.18 inference(unit_resolution,[status(thm)],[13245, 12818])).
% 3.96/4.18 tff(13247,plain,
% 3.96/4.18 (r(s(s(s(s(s(z))))), s(s(s(s(z))))) <=> r(s(elem!1), s(s(s(s(z)))))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13230])).
% 3.96/4.18 tff(13248,plain,
% 3.96/4.18 (r(s(elem!1), s(s(s(s(z)))))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[73, 13247])).
% 3.96/4.18 tff(13249,plain,
% 3.96/4.18 (r(s(s(s(s(s(z))))), s(z)) <=> r(s(elem!1), s(z))),
% 3.96/4.18 inference(monotonicity,[status(thm)],[13230])).
% 3.96/4.18 tff(13250,plain,
% 3.96/4.18 (r(s(elem!1), s(z))),
% 3.96/4.18 inference(modus_ponens,[status(thm)],[410, 13249])).
% 3.96/4.18 tff(13251,plain,
% 3.96/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1)))))),
% 3.96/4.18 inference(rewrite,[status(thm)],[])).
% 3.96/4.18 tff(13252,plain,
% 3.96/4.19 (((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1))))) <=> ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1)))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13253,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1))))))),
% 3.96/4.19 inference(monotonicity,[status(thm)],[13252])).
% 3.96/4.19 tff(13254,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1)))))),
% 3.96/4.19 inference(transitivity,[status(thm)],[13253, 13251])).
% 3.96/4.19 tff(13255,plain,
% 3.96/4.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(elem!1)))))),
% 3.96/4.19 inference(quant_inst,[status(thm)],[])).
% 3.96/4.19 tff(13256,plain,
% 3.96/4.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), z)) | (~r(s(z), s(elem!1))) | (~r(s(z), s(s(elem!1))))),
% 3.96/4.19 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 3.96/4.19 tff(13257,plain,
% 3.96/4.19 ($false),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13256, 125, 1565, 1853, 1672, 1379, 411])).
% 3.96/4.19 tff(13258,plain,((~r(s(z), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(z), s(s(elem!1)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.19 tff(13259,plain,
% 3.96/4.19 (~r(s(z), s(elem!1))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13258, 1565, 1853, 1379, 411])).
% 3.96/4.19 tff(13260,plain,
% 3.96/4.19 (b(s(z), s(elem!1))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[1655, 13259, 12818])).
% 3.96/4.19 tff(13261,plain,
% 3.96/4.19 (s(s(s(s(z)))) = elem!1),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[1435, 1431])).
% 3.96/4.19 tff(13262,plain,
% 3.96/4.19 (s(s(s(s(s(z))))) = s(elem!1)),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[1427, 13261])).
% 3.96/4.19 tff(13263,plain,
% 3.96/4.19 (~(s(s(z)) = s(elem!1))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[2354, 13262])).
% 3.96/4.19 tff(13264,plain,
% 3.96/4.19 (~(s(elem!1) = s(s(z)))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[2362, 13263])).
% 3.96/4.19 tff(13265,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13266,plain,
% 3.96/4.19 (((~b(s(s(elem!1)), s(s(z)))) | (~b(s(elem!1), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~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), s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13267,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(elem!1), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(z))))))),
% 3.96/4.19 inference(monotonicity,[status(thm)],[13266])).
% 3.96/4.19 tff(13268,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(elem!1), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(transitivity,[status(thm)],[13267, 13265])).
% 3.96/4.19 tff(13269,plain,
% 3.96/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(elem!1)), s(s(z)))) | (~b(s(elem!1), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 3.96/4.19 inference(quant_inst,[status(thm)],[])).
% 3.96/4.19 tff(13270,plain,
% 3.96/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(z))))),
% 3.96/4.19 inference(modus_ponens,[status(thm)],[13269, 13268])).
% 3.96/4.19 tff(13271,plain,
% 3.96/4.19 ($false),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13270, 91, 1707, 3190, 2273, 74, 3167, 1506])).
% 3.96/4.19 tff(13272,plain,((~b(s(elem!1), s(s(z)))) | (~b(s(elem!1), z)) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.19 tff(13273,plain,
% 3.96/4.19 (~b(s(elem!1), s(s(z)))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13272, 3167, 2273, 74, 1707, 1506])).
% 3.96/4.19 tff(13274,plain,
% 3.96/4.19 (r(s(elem!1), s(s(z)))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[2395, 13273, 13264])).
% 3.96/4.19 tff(13275,assumption,(r(s(elem!1), s(s(z)))), introduced(assumption)).
% 3.96/4.19 tff(13276,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13277,plain,
% 3.96/4.19 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(z))))) <=> ((~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13278,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z))))))))),
% 3.96/4.19 inference(monotonicity,[status(thm)],[13277])).
% 3.96/4.19 tff(13279,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.96/4.19 inference(transitivity,[status(thm)],[13278, 13276])).
% 3.96/4.19 tff(13280,plain,
% 3.96/4.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(z)))))),
% 3.96/4.19 inference(quant_inst,[status(thm)],[])).
% 3.96/4.19 tff(13281,plain,
% 3.96/4.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z))))))),
% 3.96/4.19 inference(modus_ponens,[status(thm)],[13280, 13279])).
% 3.96/4.19 tff(13282,plain,
% 3.96/4.19 ($false),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13281, 125, 1589, 3102, 13275, 4539])).
% 3.96/4.19 tff(13283,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(elem!1), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.19 tff(13284,plain,
% 3.96/4.19 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13283, 13275, 3102, 1589])).
% 3.96/4.19 tff(13285,plain,
% 3.96/4.19 (~r(s(s(z)), elem!1)),
% 3.96/4.19 inference(modus_ponens,[status(thm)],[13284, 2445])).
% 3.96/4.19 tff(13286,plain,
% 3.96/4.19 (b(s(s(z)), elem!1)),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[2459, 13285, 2442])).
% 3.96/4.19 tff(13287,plain,
% 3.96/4.19 (b(s(s(z)), elem!1) <=> b(s(s(z)), s(s(s(s(z)))))),
% 3.96/4.19 inference(monotonicity,[status(thm)],[1431])).
% 3.96/4.19 tff(13288,assumption,(b(s(s(z)), elem!1)), introduced(assumption)).
% 3.96/4.19 tff(13289,plain,
% 3.96/4.19 (b(s(s(z)), s(s(s(s(z)))))),
% 3.96/4.19 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 3.96/4.19 tff(13290,plain,
% 3.96/4.19 ($false),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[4471, 13289])).
% 3.96/4.19 tff(13291,plain,((~b(s(s(z)), elem!1)) | b(s(s(z)), s(s(s(s(z))))) | (~(elem!1 = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.19 tff(13292,plain,
% 3.96/4.19 (b(s(s(z)), s(s(s(s(z)))))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13291, 13286, 1431])).
% 3.96/4.19 tff(13293,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13294,plain,
% 3.96/4.19 (((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(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(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13295,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z))))))),
% 3.96/4.19 inference(monotonicity,[status(thm)],[13294])).
% 3.96/4.19 tff(13296,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(transitivity,[status(thm)],[13295, 13293])).
% 3.96/4.19 tff(13297,plain,
% 3.96/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(s(z)), s(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))))),
% 3.96/4.19 inference(quant_inst,[status(thm)],[])).
% 3.96/4.19 tff(13298,plain,
% 3.96/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z))))),
% 3.96/4.19 inference(modus_ponens,[status(thm)],[13297, 13296])).
% 3.96/4.19 tff(13299,plain,
% 3.96/4.19 (~b(s(z), s(s(z)))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13298, 91, 13292, 1642, 2373, 3167, 1506])).
% 3.96/4.19 tff(13300,plain,
% 3.96/4.19 (r(s(z), s(s(z)))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[1002, 64, 13299, 997])).
% 3.96/4.19 tff(13301,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(elem!1), s(z))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13302,plain,
% 3.96/4.19 (((~r(s(z), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~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(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(elem!1), s(z))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13303,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(elem!1), s(z)))))),
% 3.96/4.19 inference(monotonicity,[status(thm)],[13302])).
% 3.96/4.19 tff(13304,plain,
% 3.96/4.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(elem!1), s(z))))),
% 3.96/4.19 inference(transitivity,[status(thm)],[13303, 13301])).
% 3.96/4.19 tff(13305,plain,
% 3.96/4.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 3.96/4.19 inference(quant_inst,[status(thm)],[])).
% 3.96/4.19 tff(13306,plain,
% 3.96/4.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(elem!1), s(z)))),
% 3.96/4.19 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 3.96/4.19 tff(13307,plain,
% 3.96/4.19 ($false),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13306, 125, 1589, 544, 2384, 13275, 13300])).
% 3.96/4.19 tff(13308,plain,((~r(s(elem!1), s(s(z)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(z))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~(elem!1 = s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.19 tff(13309,plain,
% 3.96/4.19 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[13308, 13274, 544, 2384, 1642, 2373, 3167, 1506, 1431, 1589])).
% 3.96/4.19 tff(13310,plain,
% 3.96/4.19 (b(s(s(s(s(z)))), s(s(z)))),
% 3.96/4.19 inference(unit_resolution,[status(thm)],[938, 13309])).
% 3.96/4.19 tff(13311,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13312,plain,
% 3.96/4.19 (((~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(rewrite,[status(thm)],[])).
% 3.96/4.19 tff(13313,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z))))))),
% 3.96/4.19 inference(monotonicity,[status(thm)],[13312])).
% 3.96/4.19 tff(13314,plain,
% 3.96/4.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z)))))),
% 3.96/4.19 inference(transitivity,[status(thm)],[13313, 13311])).
% 3.96/4.19 tff(13315,plain,
% 3.96/4.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.96/4.20 inference(quant_inst,[status(thm)],[])).
% 3.96/4.20 tff(13316,plain,
% 3.96/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(s(elem!1)), s(s(z))))),
% 3.96/4.20 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 3.96/4.20 tff(13317,plain,
% 3.96/4.20 ($false),
% 3.96/4.20 inference(unit_resolution,[status(thm)],[13316, 91, 1835, 565, 13310, 1642, 3167, 1506])).
% 3.96/4.20 tff(13318,plain,((~b(s(s(elem!1)), s(s(z)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~b(s(s(elem!1)), s(z))) | (~(elem!1 = s(s(s(s(z)))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 3.96/4.20 tff(13319,plain,
% 3.96/4.20 (~b(s(s(elem!1)), s(s(z)))),
% 3.96/4.20 inference(unit_resolution,[status(thm)],[13318, 13260, 565, 1835, 13239, 544, 13250, 13219, 13228, 13248, 2273, 74, 1707])).
% 3.96/4.20 tff(13320,plain,
% 3.96/4.20 (r(s(s(elem!1)), s(s(z)))),
% 3.96/4.20 inference(unit_resolution,[status(thm)],[2507, 13319, 13246])).
% 3.96/4.20 tff(13321,plain,
% 3.96/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 3.96/4.20 inference(rewrite,[status(thm)],[])).
% 3.96/4.20 tff(13322,plain,
% 3.96/4.20 (((~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~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(s(s(s(z)))), s(s(z)))) | (~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(elem!1)), s(s(z)))))),
% 3.96/4.20 inference(rewrite,[status(thm)],[])).
% 3.96/4.20 tff(13323,plain,
% 3.96/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z))))))),
% 3.96/4.20 inference(monotonicity,[status(thm)],[13322])).
% 3.96/4.20 tff(13324,plain,
% 3.96/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z)))))),
% 3.96/4.20 inference(transitivity,[status(thm)],[13323, 13321])).
% 3.96/4.20 tff(13325,plain,
% 3.96/4.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(elem!1)), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~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))))),
% 3.96/4.20 inference(quant_inst,[status(thm)],[])).
% 3.96/4.20 tff(13326,plain,
% 3.96/4.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), s(s(z))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[13325, 13324])).
% 4.04/4.20 tff(13327,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13326, 125, 1854, 3102, 544, 1379, 3180])).
% 4.04/4.20 tff(13328,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~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(elem!1)), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(13329,plain,
% 4.04/4.20 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13328, 13320, 544, 1379, 1854])).
% 4.04/4.20 tff(13330,plain,
% 4.04/4.20 (b(s(s(s(s(z)))), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[938, 13329])).
% 4.04/4.20 tff(13331,plain,
% 4.04/4.20 (r(s(s(s(s(s(s(z)))))), s(s(z))) <=> r(s(s(elem!1)), s(s(z)))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[1390])).
% 4.04/4.20 tff(13332,plain,
% 4.04/4.20 (r(s(s(elem!1)), s(s(z))) <=> r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.04/4.20 inference(symmetry,[status(thm)],[13331])).
% 4.04/4.20 tff(13333,plain,
% 4.04/4.20 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[3180, 13332])).
% 4.04/4.20 tff(13334,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[3161, 13333])).
% 4.04/4.20 tff(13335,plain,((~r(s(s(elem!1)), s(s(z)))) | r(s(s(s(s(s(s(z)))))), s(s(z))) | (~(s(s(s(s(s(z))))) = s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(13336,plain,
% 4.04/4.20 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13335, 13320, 13230])).
% 4.04/4.20 tff(13337,plain,
% 4.04/4.20 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[13227])).
% 4.04/4.20 tff(13338,plain,
% 4.04/4.20 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[76, 13337])).
% 4.04/4.20 tff(13339,assumption,(b(s(s(elem!1)), s(s(s(s(z)))))), introduced(assumption)).
% 4.04/4.20 tff(13340,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13341,plain,
% 4.04/4.20 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z))) <=> ((~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13342,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(elem!1)), s(s(s(s(z)))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[13341])).
% 4.04/4.20 tff(13343,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(elem!1)), s(s(s(s(z)))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[13342, 13340])).
% 4.04/4.20 tff(13344,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(elem!1)), s(s(s(s(z)))))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(13345,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(z)))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 4.04/4.20 tff(13346,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13345, 91, 1707, 3382, 13339, 1835, 2273, 923])).
% 4.04/4.20 tff(13347,plain,((~b(z, s(s(z)))) | (~b(s(elem!1), z)) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(13348,plain,
% 4.04/4.20 (~b(z, s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13347, 13338, 1707, 1835, 2273, 13330])).
% 4.04/4.20 tff(13349,plain,
% 4.04/4.20 (r(z, s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[3400, 13348])).
% 4.04/4.20 tff(13350,plain,
% 4.04/4.20 (~r(s(s(z)), z)),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[11345, 13349, 765, 13336])).
% 4.04/4.20 tff(13351,plain,
% 4.04/4.20 (b(s(s(z)), z)),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[898, 13350])).
% 4.04/4.20 tff(13352,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13353,plain,
% 4.04/4.20 (((~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(s(z)), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1)))) <=> ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13354,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[13353])).
% 4.04/4.20 tff(13355,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[13354, 13352])).
% 4.04/4.20 tff(13356,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1))))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(13357,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 4.04/4.20 tff(13358,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13357, 91, 3190, 924, 1835, 2273, 923, 1506])).
% 4.04/4.20 tff(13359,plain,((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(13360,plain,
% 4.04/4.20 (~b(s(elem!1), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13359, 13351, 1835, 2273, 13330, 13239])).
% 4.04/4.20 tff(13361,plain,
% 4.04/4.20 (r(s(elem!1), s(s(z)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[2395, 13360, 13232])).
% 4.04/4.20 tff(13362,plain,
% 4.04/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13363,plain,
% 4.04/4.20 (((~r(s(elem!1), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z))) <=> ((~r(s(elem!1), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13364,plain,
% 4.04/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(z))))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[13363])).
% 4.04/4.20 tff(13365,plain,
% 4.04/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(z)))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[13364, 13362])).
% 4.04/4.20 tff(13366,plain,
% 4.04/4.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(z)))) | (~r(s(s(elem!1)), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(13367,plain,
% 4.04/4.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(z)))) | (~r(z, s(elem!1))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), s(s(z))))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[13366, 13365])).
% 4.04/4.20 tff(13368,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13367, 125, 1565, 3712, 1853, 13320, 13361])).
% 4.04/4.20 tff(13369,plain,((~r(z, s(elem!1))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(elem!1)), z)) | (~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (s(z) = s(elem!1)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (s(s(s(s(z)))) = s(elem!1)) | r(s(s(s(s(z)))), s(s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(13370,plain,
% 4.04/4.20 (~r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13369, 13208, 1379, 1853, 2273, 765, 1707, 544, 3712, 1854, 565, 74, 12818, 411, 13211, 1835, 76, 1460, 13209, 1418, 1073])).
% 4.04/4.20 tff(13371,plain,
% 4.04/4.20 (b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[394, 13370])).
% 4.04/4.20 tff(13372,plain,
% 4.04/4.20 (b(s(elem!1), s(z))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[13371, 13197])).
% 4.04/4.20 tff(13373,plain,
% 4.04/4.20 (~r(z, s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[10498, 13208, 544, 80, 75])).
% 4.04/4.20 tff(13374,plain,
% 4.04/4.20 (b(z, s(z))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[267, 13373])).
% 4.04/4.20 tff(13375,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13376,plain,
% 4.04/4.20 (((~b(s(elem!1), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z))) <=> ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13377,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[13376])).
% 4.04/4.20 tff(13378,plain,
% 4.04/4.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[13377, 13375])).
% 4.04/4.20 tff(13379,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(elem!1))) | (~b(z, s(z))) | (~b(s(elem!1), s(z))) | (~b(s(elem!1), z)))),
% 4.04/4.20 inference(quant_inst,[status(thm)],[])).
% 4.04/4.20 tff(13380,plain,
% 4.04/4.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(z, s(s(elem!1)))) | (~b(s(elem!1), s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 4.04/4.20 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 4.04/4.20 tff(13381,plain,
% 4.04/4.20 ($false),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13380, 91, 1707, 1835, 2273, 13374, 1642, 13372])).
% 4.04/4.20 tff(13382,plain,((~b(s(elem!1), s(s(elem!1)))) | (~b(s(elem!1), z)) | (~b(z, s(s(elem!1)))) | (~b(s(z), s(elem!1))) | (~(s(s(s(s(s(z))))) = s(elem!1))) | (~r(s(z), s(s(elem!1)))) | (~r(s(s(elem!1)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (s(z) = s(elem!1)) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (s(elem!1) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.20 tff(13383,plain,
% 4.04/4.20 (~b(s(elem!1), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[13382, 13196, 2273, 13183, 13162, 1379, 13179, 765, 544, 13164, 13166, 565, 74, 13172, 411, 76, 1418, 12286, 80, 75, 1455])).
% 4.04/4.20 tff(13384,plain,
% 4.04/4.20 (r(s(elem!1), s(s(elem!1)))),
% 4.04/4.20 inference(unit_resolution,[status(thm)],[2905, 13383, 13169])).
% 4.04/4.20 tff(13385,plain,
% 4.04/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13386,plain,
% 4.04/4.20 (((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~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))))) <=> ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 4.04/4.20 inference(rewrite,[status(thm)],[])).
% 4.04/4.20 tff(13387,plain,
% 4.04/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))))),
% 4.04/4.20 inference(monotonicity,[status(thm)],[13386])).
% 4.04/4.20 tff(13388,plain,
% 4.04/4.20 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1))))),
% 4.04/4.20 inference(transitivity,[status(thm)],[13387, 13385])).
% 4.04/4.20 tff(13389,plain,
% 4.04/4.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~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)))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(13390,plain,
% 4.04/4.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(s(elem!1)), s(elem!1)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[13389, 13388])).
% 4.04/4.21 tff(13391,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13390, 125, 1854, 2201, 3712, 1478])).
% 4.04/4.21 tff(13392,plain,((~r(s(s(elem!1)), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~r(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(13393,plain,
% 4.04/4.21 (~r(s(s(s(s(z)))), s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13392, 13384, 13166, 13164])).
% 4.04/4.21 tff(13394,plain,
% 4.04/4.21 (b(s(s(s(s(z)))), s(elem!1))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1495, 13393, 1460])).
% 4.04/4.21 tff(13395,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13396,plain,
% 4.04/4.21 (((~b(s(elem!1), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1)))) <=> ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13397,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[13396])).
% 4.04/4.21 tff(13398,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[13397, 13395])).
% 4.04/4.21 tff(13399,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(13400,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(z), s(elem!1)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[13399, 13398])).
% 4.04/4.21 tff(13401,plain,
% 4.04/4.21 (~b(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13400, 91, 13196, 565, 13183, 13394])).
% 4.04/4.21 tff(13402,plain,
% 4.04/4.21 (r(s(elem!1), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1526, 13401, 1455])).
% 4.04/4.21 tff(13403,plain,
% 4.04/4.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13404,plain,
% 4.04/4.21 (((~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(s(elem!1)))) | (~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(s(elem!1)))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13405,plain,
% 4.04/4.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[13404])).
% 4.04/4.21 tff(13406,plain,
% 4.04/4.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[13405, 13403])).
% 4.04/4.21 tff(13407,plain,
% 4.04/4.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(z)))), s(z))) | (~r(s(elem!1), s(z))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(13408,plain,
% 4.04/4.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (~r(s(elem!1), s(z)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[13407, 13406])).
% 4.04/4.21 tff(13409,plain,
% 4.04/4.21 ((~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(elem!1), s(z)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13408, 125, 13384, 544, 1379])).
% 4.04/4.21 tff(13410,plain,
% 4.04/4.21 (~r(s(elem!1), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13409, 13402])).
% 4.04/4.21 tff(13411,plain,
% 4.04/4.21 (b(s(elem!1), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1639, 13410, 13171])).
% 4.04/4.21 tff(13412,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13413,plain,
% 4.04/4.21 (((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13414,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[13413])).
% 4.04/4.21 tff(13415,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[13414, 13412])).
% 4.04/4.21 tff(13416,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(z))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(13417,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 4.04/4.21 tff(13418,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13417, 91, 565, 13183, 13411, 13394])).
% 4.04/4.21 tff(13419,plain,((~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(elem!1)))) | (s(elem!1) = s(s(s(s(z))))) | (~b(z, s(s(elem!1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(13420,plain,
% 4.04/4.21 (~(s(s(s(s(s(s(z)))))) = s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13419, 13159, 544, 565, 13149, 13116, 765, 12256, 411, 76, 13148, 12212, 1203, 12269, 12257, 347, 79])).
% 4.04/4.21 tff(13421,plain,
% 4.04/4.21 (b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1453, 13420, 13148])).
% 4.04/4.21 tff(13422,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13225, 91, 1757, 2273, 76, 565, 1073, 2373])).
% 4.04/4.21 tff(13423,plain,((~b(s(s(elem!1)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(z, s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(13424,plain,
% 4.04/4.21 (~b(s(s(elem!1)), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13423, 13421, 13116, 76, 565, 12259])).
% 4.04/4.21 tff(13425,plain,
% 4.04/4.21 (r(s(s(elem!1)), s(z))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[12727, 13424])).
% 4.04/4.21 tff(13426,plain,
% 4.04/4.21 (~r(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[12760, 13425, 544, 347, 12269])).
% 4.04/4.21 tff(13427,plain,
% 4.04/4.21 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1851, 13426, 13127])).
% 4.04/4.21 tff(13428,plain,
% 4.04/4.21 (~b(s(s(elem!1)), z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13137, 13427, 13116, 12256])).
% 4.04/4.21 tff(13429,plain,
% 4.04/4.21 (r(s(s(elem!1)), z)),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[1872, 13428])).
% 4.04/4.21 tff(13430,plain,
% 4.04/4.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13431,plain,
% 4.04/4.21 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13432,plain,
% 4.04/4.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z)))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[13431])).
% 4.04/4.21 tff(13433,plain,
% 4.04/4.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[13432, 13430])).
% 4.04/4.21 tff(13434,plain,
% 4.04/4.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(13435,plain,
% 4.04/4.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(elem!1)), z)) | (~r(s(s(elem!1)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(elem!1)), s(z)))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[13434, 13433])).
% 4.04/4.21 tff(13436,plain,
% 4.04/4.21 (~r(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13435, 125, 13429, 544, 13425, 12212])).
% 4.04/4.21 tff(13437,plain,
% 4.04/4.21 (b(s(s(elem!1)), s(s(s(s(z)))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[2601, 13436, 13123])).
% 4.04/4.21 tff(13438,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13439,plain,
% 4.04/4.21 (((~b(s(s(s(s(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)))))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(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(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13440,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(elem!1)))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))))),
% 4.04/4.21 inference(monotonicity,[status(thm)],[13439])).
% 4.04/4.21 tff(13441,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(elem!1)))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))))),
% 4.04/4.21 inference(transitivity,[status(thm)],[13440, 13438])).
% 4.04/4.21 tff(13442,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(elem!1)))) | (~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(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.04/4.21 inference(quant_inst,[status(thm)],[])).
% 4.04/4.21 tff(13443,plain,
% 4.04/4.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(elem!1)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(elem!1)))) | (~b(s(s(s(s(z)))), s(s(elem!1))))),
% 4.04/4.21 inference(modus_ponens,[status(thm)],[13442, 13441])).
% 4.04/4.21 tff(13444,plain,
% 4.04/4.21 ($false),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13443, 91, 13427, 13437, 13421, 76])).
% 4.04/4.21 tff(13445,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | b(z, s(s(s(s(z))))) | b(z, s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.21 tff(13446,plain,
% 4.04/4.21 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[13445, 526, 544, 565, 765, 411, 79, 76, 78, 101, 1306, 308])).
% 4.04/4.21 tff(13447,plain,
% 4.04/4.21 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.21 inference(unit_resolution,[status(thm)],[336, 13446])).
% 4.04/4.21 tff(13448,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13449,plain,
% 4.04/4.21 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))),
% 4.04/4.21 inference(rewrite,[status(thm)],[])).
% 4.04/4.21 tff(13450,plain,
% 4.04/4.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z)))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[13449])).
% 4.04/4.22 tff(13451,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[13450, 13448])).
% 4.04/4.22 tff(13452,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(13453,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 4.04/4.22 tff(13454,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13453, 91, 76, 565, 13447, 526])).
% 4.04/4.22 tff(13455,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | b(z, s(s(s(s(z))))) | b(z, s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13456,plain,
% 4.04/4.22 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13455, 411, 565, 544, 765, 76, 79, 78, 101, 1306, 308])).
% 4.04/4.22 tff(13457,plain,
% 4.04/4.22 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[542, 13456])).
% 4.04/4.22 tff(13458,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[12250, 125, 765, 1203, 12257, 411, 13457])).
% 4.04/4.22 tff(13459,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | b(z, s(s(s(s(z))))) | b(z, s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13460,plain,
% 4.04/4.22 (r(s(s(s(s(z)))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13459, 12255, 76, 565, 411, 12236, 78, 101, 12215, 12244])).
% 4.04/4.22 tff(13461,plain,
% 4.04/4.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13462,plain,
% 4.04/4.22 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), 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)))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13463,plain,
% 4.04/4.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[13462])).
% 4.04/4.22 tff(13464,plain,
% 4.04/4.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), 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)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[13463, 13461])).
% 4.04/4.22 tff(13465,plain,
% 4.04/4.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), 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)))), s(z))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(13466,plain,
% 4.04/4.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[13465, 13464])).
% 4.04/4.22 tff(13467,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13466, 125, 12244, 12255, 13460, 12214, 269])).
% 4.04/4.22 tff(13468,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | b(z, s(s(s(s(z))))) | b(z, s(s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13469,plain,
% 4.04/4.22 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13468, 101, 76, 565, 411, 78, 269, 669])).
% 4.04/4.22 tff(13470,plain,
% 4.04/4.22 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[246, 13469])).
% 4.04/4.22 tff(13471,plain,
% 4.04/4.22 (~r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[7539, 125, 1203, 411, 13470, 269])).
% 4.04/4.22 tff(13472,plain,
% 4.04/4.22 (b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[163, 13471])).
% 4.04/4.22 tff(13473,plain,
% 4.04/4.22 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[6663, 13472, 565, 669])).
% 4.04/4.22 tff(13474,plain,
% 4.04/4.22 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[369, 13473])).
% 4.04/4.22 tff(13475,plain,
% 4.04/4.22 (~r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[10910, 13470, 269, 565, 76, 13474])).
% 4.04/4.22 tff(13476,plain,
% 4.04/4.22 (b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[394, 13475])).
% 4.04/4.22 tff(13477,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[6300, 91, 13476, 565, 13472, 669])).
% 4.04/4.22 tff(13478,plain,(b(z, s(s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), z)) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13479,plain,
% 4.04/4.22 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13478, 565, 669, 269, 76, 411, 78])).
% 4.04/4.22 tff(13480,plain,
% 4.04/4.22 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[4395, 77, 565, 669])).
% 4.04/4.22 tff(13481,plain,
% 4.04/4.22 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[201, 13480])).
% 4.04/4.22 tff(13482,plain,
% 4.04/4.22 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[10910, 410, 269, 565, 76, 216])).
% 4.04/4.22 tff(13483,plain,
% 4.04/4.22 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[369, 13482])).
% 4.04/4.22 tff(13484,plain,
% 4.04/4.22 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[6663, 13483, 565, 669])).
% 4.04/4.22 tff(13485,plain,
% 4.04/4.22 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[163, 13484])).
% 4.04/4.22 tff(13486,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13487,plain,
% 4.04/4.22 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13488,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[13487])).
% 4.04/4.22 tff(13489,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[13488, 13486])).
% 4.04/4.22 tff(13490,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(13491,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[13490, 13489])).
% 4.04/4.22 tff(13492,plain,
% 4.04/4.22 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13491, 91, 76, 79, 669, 13483])).
% 4.04/4.22 tff(13493,plain,
% 4.04/4.22 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1313, 13492])).
% 4.04/4.22 tff(13494,plain,
% 4.04/4.22 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[4882, 13493, 13485, 410])).
% 4.04/4.22 tff(13495,plain,
% 4.04/4.22 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[542, 13494])).
% 4.04/4.22 tff(13496,plain,
% 4.04/4.22 (~b(s(s(s(s(z)))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[9113, 91, 79, 81, 669])).
% 4.04/4.22 tff(13497,plain,
% 4.04/4.22 (r(s(s(s(s(z)))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[314, 13496])).
% 4.04/4.22 tff(13498,plain,
% 4.04/4.22 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[7939, 177, 565, 76])).
% 4.04/4.22 tff(13499,plain,
% 4.04/4.22 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[542, 13498])).
% 4.04/4.22 tff(13500,plain,
% 4.04/4.22 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[4882, 13499, 136, 410])).
% 4.04/4.22 tff(13501,plain,
% 4.04/4.22 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1313, 13500])).
% 4.04/4.22 tff(13502,plain,
% 4.04/4.22 (~b(z, s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[9489, 13501, 76, 669, 79, 177])).
% 4.04/4.22 tff(13503,plain,
% 4.04/4.22 (r(z, s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[267, 13502])).
% 4.04/4.22 tff(13504,plain,
% 4.04/4.22 (~b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[419, 13501, 81, 79])).
% 4.04/4.22 tff(13505,plain,
% 4.04/4.22 (r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[763, 13504])).
% 4.04/4.22 tff(13506,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1243, 13505, 13503, 13499, 411])).
% 4.04/4.22 tff(13507,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13508,plain,
% 4.04/4.22 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13507, 13485, 81, 79, 76, 669, 411, 410, 565])).
% 4.04/4.22 tff(13509,plain,
% 4.04/4.22 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[201, 13508])).
% 4.04/4.22 tff(13510,plain,
% 4.04/4.22 (~b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[7514, 13493, 269, 81, 13485, 79])).
% 4.04/4.22 tff(13511,plain,
% 4.04/4.22 (r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[763, 13510])).
% 4.04/4.22 tff(13512,plain,
% 4.04/4.22 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13466, 125, 13511, 13509, 13497, 269])).
% 4.04/4.22 tff(13513,plain,
% 4.04/4.22 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[336, 13512])).
% 4.04/4.22 tff(13514,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13453, 91, 76, 565, 13513, 13495])).
% 4.04/4.22 tff(13515,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13516,plain,
% 4.04/4.22 (~r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13515, 79, 565, 269, 81, 76, 669, 411, 216])).
% 4.04/4.22 tff(13517,plain,
% 4.04/4.22 (b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[394, 13516])).
% 4.04/4.22 tff(13518,plain,
% 4.04/4.22 (~r(z, s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[10683, 13517, 80, 669, 81, 79])).
% 4.04/4.22 tff(13519,plain,
% 4.04/4.22 (~b(z, s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[7526, 13517, 81, 79, 565, 669])).
% 4.04/4.22 tff(13520,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[267, 13519, 13518])).
% 4.04/4.22 tff(13521,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13522,plain,
% 4.04/4.22 (~b(s(s(s(s(s(z))))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13521, 216, 565, 669, 80, 269, 76, 411, 81])).
% 4.04/4.22 tff(13523,plain,
% 4.04/4.22 (r(s(s(s(s(s(z))))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[427, 13522])).
% 4.04/4.22 tff(13524,plain,
% 4.04/4.22 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[6663, 349, 565, 669])).
% 4.04/4.22 tff(13525,plain,
% 4.04/4.22 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[163, 13524])).
% 4.04/4.22 tff(13526,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13527,plain,
% 4.04/4.22 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13528,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[13527])).
% 4.04/4.22 tff(13529,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[13528, 13526])).
% 4.04/4.22 tff(13530,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(s(s(z))))))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.22 tff(13531,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.04/4.22 inference(modus_ponens,[status(thm)],[13530, 13529])).
% 4.04/4.22 tff(13532,plain,
% 4.04/4.22 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13531, 91, 77, 76, 669])).
% 4.04/4.22 tff(13533,plain,
% 4.04/4.22 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13532, 349])).
% 4.04/4.22 tff(13534,plain,
% 4.04/4.22 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1313, 13533])).
% 4.04/4.22 tff(13535,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[8071, 125, 13534, 411, 71, 13525, 269])).
% 4.04/4.22 tff(13536,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), 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(z))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13537,plain,
% 4.04/4.22 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13536, 77, 13523, 269, 411, 76, 669, 565])).
% 4.04/4.22 tff(13538,plain,
% 4.04/4.22 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[369, 13537])).
% 4.04/4.22 tff(13539,plain,
% 4.04/4.22 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[9853, 13538, 80, 216, 13523])).
% 4.04/4.22 tff(13540,plain,
% 4.04/4.22 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[336, 13539])).
% 4.04/4.22 tff(13541,plain,
% 4.04/4.22 (~r(s(s(s(s(z)))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[8976, 13538, 80, 13523])).
% 4.04/4.22 tff(13542,plain,
% 4.04/4.22 (b(s(s(s(s(z)))), z)),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[314, 13541])).
% 4.04/4.22 tff(13543,plain,
% 4.04/4.22 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[7474, 13542, 76, 13540])).
% 4.04/4.22 tff(13544,plain,
% 4.04/4.22 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1093, 13543])).
% 4.04/4.22 tff(13545,plain,
% 4.04/4.22 (~r(z, s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[11006, 13544, 269, 80, 13481])).
% 4.04/4.22 tff(13546,plain,
% 4.04/4.22 (b(z, s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[267, 13545])).
% 4.04/4.22 tff(13547,plain,
% 4.04/4.22 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[5950, 13546, 81, 77])).
% 4.04/4.22 tff(13548,plain,
% 4.04/4.22 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[163, 13547])).
% 4.04/4.22 tff(13549,plain,
% 4.04/4.22 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[10950, 91, 77, 76, 565, 669])).
% 4.04/4.22 tff(13550,plain,
% 4.04/4.22 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13549, 13540])).
% 4.04/4.22 tff(13551,plain,
% 4.04/4.22 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[1313, 13550])).
% 4.04/4.22 tff(13552,plain,
% 4.04/4.22 ($false),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[8071, 125, 13551, 411, 13523, 13548, 269])).
% 4.04/4.22 tff(13553,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.22 tff(13554,plain,
% 4.04/4.22 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[13553, 216, 269, 81, 80, 76, 565, 669, 411])).
% 4.04/4.22 tff(13555,plain,
% 4.04/4.22 (r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[394, 13554])).
% 4.04/4.22 tff(13556,plain,
% 4.04/4.22 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[10910, 13555, 269, 565, 76, 216])).
% 4.04/4.22 tff(13557,plain,
% 4.04/4.22 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.22 inference(unit_resolution,[status(thm)],[369, 13556])).
% 4.04/4.22 tff(13558,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13559,plain,
% 4.04/4.22 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.04/4.22 inference(rewrite,[status(thm)],[])).
% 4.04/4.22 tff(13560,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 4.04/4.22 inference(monotonicity,[status(thm)],[13559])).
% 4.04/4.22 tff(13561,plain,
% 4.04/4.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.04/4.22 inference(transitivity,[status(thm)],[13560, 13558])).
% 4.04/4.22 tff(13562,plain,
% 4.04/4.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))),
% 4.04/4.22 inference(quant_inst,[status(thm)],[])).
% 4.04/4.23 tff(13563,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[13562, 13561])).
% 4.04/4.23 tff(13564,plain,
% 4.04/4.23 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13563, 91, 76, 565, 669, 349])).
% 4.04/4.23 tff(13565,plain,
% 4.04/4.23 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[542, 13564])).
% 4.04/4.23 tff(13566,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[4882, 13565, 12257, 410, 13525])).
% 4.04/4.23 tff(13567,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(13568,plain,
% 4.04/4.23 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13567, 13555, 76, 565, 669, 13557])).
% 4.04/4.23 tff(13569,plain,
% 4.04/4.23 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(13570,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[13569])).
% 4.04/4.23 tff(13571,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.23 inference(transitivity,[status(thm)],[13570, 6864])).
% 4.04/4.23 tff(13572,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.04/4.23 inference(quant_inst,[status(thm)],[])).
% 4.04/4.23 tff(13573,plain,
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% 4.04/4.23 inference(unit_resolution,[status(thm)],[1313, 13657])).
% 4.04/4.23 tff(13659,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(13660,plain,
% 4.04/4.23 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.04/4.23 inference(rewrite,[status(thm)],[])).
% 4.04/4.23 tff(13661,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 4.04/4.23 inference(monotonicity,[status(thm)],[13660])).
% 4.04/4.23 tff(13662,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.04/4.23 inference(transitivity,[status(thm)],[13661, 13659])).
% 4.04/4.23 tff(13663,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.04/4.23 inference(quant_inst,[status(thm)],[])).
% 4.04/4.23 tff(13664,plain,
% 4.04/4.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 4.04/4.23 inference(modus_ponens,[status(thm)],[13663, 13662])).
% 4.04/4.23 tff(13665,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13664, 91, 77, 176, 13658, 318, 669])).
% 4.04/4.23 tff(13666,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(13667,plain,
% 4.04/4.23 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13666, 13650, 13621, 669, 76, 13623, 12212, 13617])).
% 4.04/4.23 tff(13668,plain,
% 4.04/4.23 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[163, 13667])).
% 4.04/4.23 tff(13669,plain,
% 4.04/4.23 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[6057, 13621, 76, 669])).
% 4.04/4.23 tff(13670,plain,
% 4.04/4.23 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[246, 13669])).
% 4.04/4.23 tff(13671,plain,
% 4.04/4.23 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[9103, 13668, 12212, 411, 13617])).
% 4.04/4.23 tff(13672,plain,
% 4.04/4.23 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[427, 13671])).
% 4.04/4.23 tff(13673,plain,
% 4.04/4.23 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[10675, 13672, 669, 13619, 13650])).
% 4.04/4.23 tff(13674,plain,
% 4.04/4.23 (r(z, s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[113, 13673])).
% 4.04/4.23 tff(13675,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7539, 125, 13674, 411, 13670, 13668, 269])).
% 4.04/4.23 tff(13676,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(13677,plain,
% 4.04/4.23 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13676, 411, 269, 76, 78])).
% 4.04/4.23 tff(13678,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[689, 13677])).
% 4.04/4.23 tff(13679,plain,
% 4.04/4.23 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[133, 1203, 12212, 13678])).
% 4.04/4.23 tff(13680,plain,
% 4.04/4.23 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[369, 13679])).
% 4.04/4.23 tff(13681,plain,
% 4.04/4.23 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[133, 75, 80, 115])).
% 4.04/4.23 tff(13682,plain,
% 4.04/4.23 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[369, 13681])).
% 4.04/4.23 tff(13683,plain,
% 4.04/4.23 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[12202, 135, 411, 80, 269])).
% 4.04/4.23 tff(13684,plain,
% 4.04/4.23 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[336, 13683])).
% 4.04/4.23 tff(13685,plain,
% 4.04/4.23 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7474, 13684, 76, 74])).
% 4.04/4.23 tff(13686,plain,
% 4.04/4.23 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1093, 13685])).
% 4.04/4.23 tff(13687,plain,
% 4.04/4.23 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[8766, 13686, 76, 75, 80])).
% 4.04/4.23 tff(13688,plain,
% 4.04/4.23 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1313, 13687])).
% 4.04/4.23 tff(13689,plain,
% 4.04/4.23 (~b(z, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[11231, 13688, 76, 77, 74, 13682])).
% 4.04/4.23 tff(13690,plain,
% 4.04/4.23 (r(z, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[267, 13689])).
% 4.04/4.23 tff(13691,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[11427, 125, 75, 135, 13690, 80, 115])).
% 4.04/4.23 tff(13692,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(13693,plain,
% 4.04/4.23 (~b(s(s(s(s(z)))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13692, 135, 80, 115, 76, 77, 75, 411, 269])).
% 4.04/4.23 tff(13694,plain,
% 4.04/4.23 ($false),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[314, 13693, 13624])).
% 4.04/4.23 tff(13695,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.23 tff(13696,plain,
% 4.04/4.23 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13695, 1203, 13678, 76, 77, 12212, 411, 269])).
% 4.04/4.23 tff(13697,plain,
% 4.04/4.23 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[563, 13696])).
% 4.04/4.23 tff(13698,plain,
% 4.04/4.23 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[7361, 13697, 77, 13680])).
% 4.04/4.23 tff(13699,plain,
% 4.04/4.23 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[201, 13698])).
% 4.04/4.23 tff(13700,plain,
% 4.04/4.23 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[6007, 125, 1203, 411, 13678])).
% 4.04/4.23 tff(13701,plain,
% 4.04/4.23 (~r(s(s(s(s(z)))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13700, 13699])).
% 4.04/4.23 tff(13702,plain,
% 4.04/4.23 (b(s(s(s(s(z)))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[314, 13701])).
% 4.04/4.23 tff(13703,plain,
% 4.04/4.23 (~r(s(s(s(s(z)))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1293, 71, 115, 75])).
% 4.04/4.23 tff(13704,plain,
% 4.04/4.23 (b(s(s(s(s(z)))), z)),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[314, 13703])).
% 4.04/4.23 tff(13705,plain,
% 4.04/4.23 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[11926, 13704, 76, 75, 71, 80])).
% 4.04/4.23 tff(13706,plain,
% 4.04/4.23 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[1313, 13705])).
% 4.04/4.23 tff(13707,plain,
% 4.04/4.23 (~b(z, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[11231, 13706, 76, 77, 13704, 13682])).
% 4.04/4.23 tff(13708,plain,
% 4.04/4.23 (r(z, s(z))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[267, 13707])).
% 4.04/4.23 tff(13709,plain,
% 4.04/4.23 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[13692, 13704, 80, 115, 76, 77, 75, 411, 269])).
% 4.04/4.23 tff(13710,plain,
% 4.04/4.23 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.23 inference(unit_resolution,[status(thm)],[563, 13709])).
% 4.04/4.23 tff(13711,plain,
% 4.04/4.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(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(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13712,plain,
% 4.04/4.24 (((~b(s(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(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13713,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[13712])).
% 4.04/4.24 tff(13714,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(z))) | (~b(s(s(s(s(s(z))))), 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(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.24 inference(transitivity,[status(thm)],[13713, 13711])).
% 4.04/4.24 tff(13715,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(13716,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[13715, 13714])).
% 4.04/4.24 tff(13717,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13716, 91, 77, 13710, 13704, 13682])).
% 4.04/4.24 tff(13718,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[201, 13717])).
% 4.04/4.24 tff(13719,plain,
% 4.04/4.24 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11006, 13708, 269, 80, 13718])).
% 4.04/4.24 tff(13720,plain,
% 4.04/4.24 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1093, 13719])).
% 4.04/4.24 tff(13721,plain,
% 4.04/4.24 (~b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[5392, 13720, 76, 13704])).
% 4.04/4.24 tff(13722,plain,
% 4.04/4.24 (r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[763, 13721])).
% 4.04/4.24 tff(13723,plain,
% 4.04/4.24 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1243, 13722, 13708, 411])).
% 4.04/4.24 tff(13724,plain,
% 4.04/4.24 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[542, 13723])).
% 4.04/4.24 tff(13725,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7441, 91, 77, 13710, 12220, 13706, 13724])).
% 4.04/4.24 tff(13726,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(13727,plain,
% 4.04/4.24 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13726, 1203, 411, 76, 269, 12212, 77, 13678])).
% 4.04/4.24 tff(13728,plain,
% 4.04/4.24 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[427, 13727])).
% 4.04/4.24 tff(13729,plain,
% 4.04/4.24 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[133, 1203, 12212, 115])).
% 4.04/4.24 tff(13730,plain,
% 4.04/4.24 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[369, 13729])).
% 4.04/4.24 tff(13731,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7361, 565, 77, 13730])).
% 4.04/4.24 tff(13732,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[201, 13731])).
% 4.04/4.24 tff(13733,plain,
% 4.04/4.24 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6007, 125, 1203, 411, 115])).
% 4.04/4.24 tff(13734,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13733, 13732])).
% 4.04/4.24 tff(13735,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[314, 13734])).
% 4.04/4.24 tff(13736,plain,
% 4.04/4.24 (~b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[5392, 13735, 76, 1073])).
% 4.04/4.24 tff(13737,plain,
% 4.04/4.24 (r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[763, 13736])).
% 4.04/4.24 tff(13738,plain,
% 4.04/4.24 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13459, 13737, 76, 101, 411, 79, 78, 565, 13734, 13732])).
% 4.04/4.24 tff(13739,plain,
% 4.04/4.24 (~b(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11231, 13738, 76, 77, 13735, 13730])).
% 4.04/4.24 tff(13740,plain,
% 4.04/4.24 (r(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[267, 13739])).
% 4.04/4.24 tff(13741,plain,
% 4.04/4.24 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1243, 13740, 13737, 411])).
% 4.04/4.24 tff(13742,plain,
% 4.04/4.24 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[542, 13741])).
% 4.04/4.24 tff(13743,plain,
% 4.04/4.24 (~r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[9865, 13740, 12212, 13732, 1203])).
% 4.04/4.24 tff(13744,plain,
% 4.04/4.24 (b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[163, 13743])).
% 4.04/4.24 tff(13745,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7441, 91, 77, 565, 13744, 13738, 13742])).
% 4.04/4.24 tff(13746,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | b(z, s(s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | b(z, s(s(s(s(z))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(13747,plain,
% 4.04/4.24 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13746, 13697, 411, 76, 101, 13728, 78, 77, 13678])).
% 4.04/4.24 tff(13748,plain,
% 4.04/4.24 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1093, 13747])).
% 4.04/4.24 tff(13749,plain,
% 4.04/4.24 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8766, 13748, 76, 1203, 12212])).
% 4.04/4.24 tff(13750,plain,
% 4.04/4.24 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1313, 13749])).
% 4.04/4.24 tff(13751,plain,
% 4.04/4.24 (~r(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11006, 13748, 269, 12212, 13699])).
% 4.04/4.24 tff(13752,plain,
% 4.04/4.24 (b(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[267, 13751])).
% 4.04/4.24 tff(13753,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11231, 13752, 13750, 76, 77, 13702, 13680])).
% 4.04/4.24 tff(13754,plain,(b(z, s(s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(13755,plain,
% 4.04/4.24 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13754, 77, 76, 269, 411, 78])).
% 4.04/4.24 tff(13756,plain,
% 4.04/4.24 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7474, 13684, 76, 13625])).
% 4.04/4.24 tff(13757,plain,
% 4.04/4.24 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1093, 13756])).
% 4.04/4.24 tff(13758,plain,
% 4.04/4.24 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11888, 135, 76, 77, 13757, 80, 269, 81])).
% 4.04/4.24 tff(13759,plain,
% 4.04/4.24 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[163, 13758])).
% 4.04/4.24 tff(13760,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8694, 125, 135, 411, 80, 115, 13759])).
% 4.04/4.24 tff(13761,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(13762,plain,
% 4.04/4.24 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13761, 77, 80, 115, 76, 411, 269, 81])).
% 4.04/4.24 tff(13763,plain,
% 4.04/4.24 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[563, 13762])).
% 4.04/4.24 tff(13764,plain,
% 4.04/4.24 (~b(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7517, 544, 81, 411, 115, 77, 13763, 269, 76])).
% 4.04/4.24 tff(13765,plain,
% 4.04/4.24 (r(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[267, 13764])).
% 4.04/4.24 tff(13766,plain,
% 4.04/4.24 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11006, 13765, 269, 80, 544])).
% 4.04/4.24 tff(13767,plain,
% 4.04/4.24 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1093, 13766])).
% 4.04/4.24 tff(13768,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[5940, 13765, 544, 411])).
% 4.04/4.24 tff(13769,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[314, 13768])).
% 4.04/4.24 tff(13770,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7474, 13769, 76, 13767])).
% 4.04/4.24 tff(13771,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[336, 13770])).
% 4.04/4.24 tff(13772,plain,
% 4.04/4.24 ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7455, 91, 77, 76, 13763, 81])).
% 4.04/4.24 tff(13773,plain,
% 4.04/4.24 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13772, 13767])).
% 4.04/4.24 tff(13774,plain,
% 4.04/4.24 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1313, 13773])).
% 4.04/4.24 tff(13775,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7464, 125, 13774, 544, 13771, 115, 269])).
% 4.04/4.24 tff(13776,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(13777,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13776, 77, 269, 76, 13678, 13755, 411, 12212])).
% 4.04/4.24 tff(13778,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[201, 13777])).
% 4.04/4.24 tff(13779,plain,
% 4.04/4.24 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13761, 77, 12212, 13678, 76, 411, 269, 13755])).
% 4.04/4.24 tff(13780,plain,
% 4.04/4.24 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[563, 13779])).
% 4.04/4.24 tff(13781,plain,
% 4.04/4.24 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[6728, 91, 77, 76, 81, 1073, 177])).
% 4.04/4.24 tff(13782,plain,
% 4.04/4.24 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[246, 13781])).
% 4.04/4.24 tff(13783,plain,
% 4.04/4.24 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7361, 177, 77, 565])).
% 4.04/4.24 tff(13784,plain,
% 4.04/4.24 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[369, 13783])).
% 4.04/4.24 tff(13785,plain,
% 4.04/4.24 ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[5713, 125, 203, 216])).
% 4.04/4.24 tff(13786,plain,
% 4.04/4.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13785, 5707])).
% 4.04/4.24 tff(13787,plain,
% 4.04/4.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[881, 64, 13786, 871])).
% 4.04/4.24 tff(13788,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[4195, 216, 115, 203])).
% 4.04/4.24 tff(13789,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[336, 13788])).
% 4.04/4.24 tff(13790,plain,
% 4.04/4.24 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(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(s(s(z)))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13791,plain,
% 4.04/4.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[13790])).
% 4.04/4.24 tff(13792,plain,
% 4.04/4.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.24 inference(transitivity,[status(thm)],[13791, 11810])).
% 4.04/4.24 tff(13793,plain,
% 4.04/4.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(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(s(s(z))))))))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(13794,plain,
% 4.04/4.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 4.04/4.24 tff(13795,plain,
% 4.04/4.24 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13794, 125, 73, 115])).
% 4.04/4.24 tff(13796,plain,
% 4.04/4.24 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13795, 5707])).
% 4.04/4.24 tff(13797,plain,
% 4.04/4.24 (b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[4474, 64, 13796, 4469])).
% 4.04/4.24 tff(13798,plain,
% 4.04/4.24 ($false),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[11796, 91, 76, 13797, 13789, 13787])).
% 4.04/4.24 tff(13799,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.24 tff(13800,plain,
% 4.04/4.24 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13799, 7458, 13784, 115, 76, 13782])).
% 4.04/4.24 tff(13801,plain,
% 4.04/4.24 ((s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[909, 64, 13800])).
% 4.04/4.24 tff(13802,plain,
% 4.04/4.24 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13801, 786])).
% 4.04/4.24 tff(13803,plain,
% 4.04/4.24 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13804,plain,
% 4.04/4.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[13803])).
% 4.04/4.24 tff(13805,plain,
% 4.04/4.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(transitivity,[status(thm)],[13804, 7507])).
% 4.04/4.24 tff(13806,plain,
% 4.04/4.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(13807,plain,
% 4.04/4.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[13806, 13805])).
% 4.04/4.24 tff(13808,plain,
% 4.04/4.24 (~r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13807, 125, 7458, 13782, 269])).
% 4.04/4.24 tff(13809,plain,
% 4.04/4.24 (b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[163, 13808])).
% 4.04/4.24 tff(13810,plain,
% 4.04/4.24 (~b(s(s(z)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[10254, 91, 77, 565, 13809, 13802])).
% 4.04/4.24 tff(13811,plain,
% 4.04/4.24 (r(s(s(z)), s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[857, 13810])).
% 4.04/4.24 tff(13812,plain,
% 4.04/4.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[4195, 13782, 115, 7458])).
% 4.04/4.24 tff(13813,plain,
% 4.04/4.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[336, 13812])).
% 4.04/4.24 tff(13814,plain,
% 4.04/4.24 (~b(s(s(s(s(z)))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[7474, 13813, 76, 1073])).
% 4.04/4.24 tff(13815,plain,
% 4.04/4.24 (r(s(s(s(s(z)))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[314, 13814])).
% 4.04/4.24 tff(13816,plain,
% 4.04/4.24 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[8976, 13815, 80, 13784])).
% 4.04/4.24 tff(13817,plain,
% 4.04/4.24 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[427, 13816])).
% 4.04/4.24 tff(13818,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13819,plain,
% 4.04/4.24 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13820,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[13819])).
% 4.04/4.24 tff(13821,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(transitivity,[status(thm)],[13820, 13818])).
% 4.04/4.24 tff(13822,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(13823,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[13822, 13821])).
% 4.04/4.24 tff(13824,plain,
% 4.04/4.24 (~b(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13823, 91, 13817, 81, 13809, 13802])).
% 4.04/4.24 tff(13825,plain,
% 4.04/4.24 (r(s(z), s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[1004, 13824])).
% 4.04/4.24 tff(13826,plain,
% 4.04/4.24 (~b(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[5950, 13809, 77, 81])).
% 4.04/4.24 tff(13827,plain,
% 4.04/4.24 (r(z, s(z))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[267, 13826])).
% 4.04/4.24 tff(13828,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13829,plain,
% 4.04/4.24 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13830,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.04/4.24 inference(monotonicity,[status(thm)],[13829])).
% 4.04/4.24 tff(13831,plain,
% 4.04/4.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.04/4.24 inference(transitivity,[status(thm)],[13830, 13828])).
% 4.04/4.24 tff(13832,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))),
% 4.04/4.24 inference(quant_inst,[status(thm)],[])).
% 4.04/4.24 tff(13833,plain,
% 4.04/4.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.04/4.24 inference(modus_ponens,[status(thm)],[13832, 13831])).
% 4.04/4.24 tff(13834,plain,
% 4.04/4.24 (~b(z, s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[13833, 91, 13817, 81, 13802])).
% 4.04/4.24 tff(13835,plain,
% 4.04/4.24 (r(z, s(s(z)))),
% 4.04/4.24 inference(unit_resolution,[status(thm)],[3400, 13834])).
% 4.04/4.24 tff(13836,plain,
% 4.04/4.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13837,plain,
% 4.04/4.24 (((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 4.04/4.24 inference(rewrite,[status(thm)],[])).
% 4.04/4.24 tff(13838,plain,
% 4.04/4.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[13837])).
% 4.04/4.25 tff(13839,plain,
% 4.04/4.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 4.04/4.25 inference(transitivity,[status(thm)],[13838, 13836])).
% 4.04/4.25 tff(13840,plain,
% 4.04/4.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(13841,plain,
% 4.04/4.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[13840, 13839])).
% 4.04/4.25 tff(13842,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13841, 125, 13835, 13827, 13825, 13811])).
% 4.04/4.25 tff(13843,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13844,plain,
% 4.04/4.25 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13843, 13755, 77, 13780, 13678, 76, 269, 12212, 13778])).
% 4.04/4.25 tff(13845,plain,
% 4.04/4.25 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1093, 13844])).
% 4.04/4.25 tff(13846,plain,
% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7501, 13845, 411, 269])).
% 4.04/4.25 tff(13847,plain,
% 4.04/4.25 (b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[763, 13846])).
% 4.04/4.25 tff(13848,plain,
% 4.04/4.25 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7939, 13778, 13780, 76])).
% 4.04/4.25 tff(13849,plain,
% 4.04/4.25 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[542, 13848])).
% 4.04/4.25 tff(13850,plain,
% 4.04/4.25 (~r(z, s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[6830, 125, 13845, 13849, 269])).
% 4.04/4.25 tff(13851,plain,
% 4.04/4.25 (b(z, s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[267, 13850])).
% 4.04/4.25 tff(13852,plain,
% 4.04/4.25 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[5950, 13851, 77, 13755])).
% 4.04/4.25 tff(13853,plain,
% 4.04/4.25 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[163, 13852])).
% 4.04/4.25 tff(13854,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7433, 13853, 411, 13845, 269])).
% 4.04/4.25 tff(13855,plain,
% 4.04/4.25 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[427, 13854])).
% 4.04/4.25 tff(13856,plain,
% 4.04/4.25 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[419, 13855, 13755, 13847])).
% 4.04/4.25 tff(13857,plain,
% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7514, 13855, 269, 13755, 13847, 13853])).
% 4.04/4.25 tff(13858,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1313, 13857, 13856])).
% 4.04/4.25 tff(13859,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13860,plain,
% 4.04/4.25 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13859, 411, 269, 76, 78])).
% 4.04/4.25 tff(13861,plain,
% 4.04/4.25 (r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[394, 13860])).
% 4.04/4.25 tff(13862,plain,
% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7501, 13757, 411, 269])).
% 4.04/4.25 tff(13863,plain,
% 4.04/4.25 (b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[763, 13862])).
% 4.04/4.25 tff(13864,plain,
% 4.04/4.25 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[11219, 13757, 80, 115, 13684, 76])).
% 4.04/4.25 tff(13865,plain,
% 4.04/4.25 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[113, 13864])).
% 4.04/4.25 tff(13866,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[5260, 71, 410, 411, 215])).
% 4.04/4.25 tff(13867,plain,
% 4.04/4.25 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[246, 13866])).
% 4.04/4.25 tff(13868,plain,
% 4.04/4.25 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[5775, 13867, 318, 76])).
% 4.04/4.25 tff(13869,plain,
% 4.04/4.25 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[369, 13868])).
% 4.04/4.25 tff(13870,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[9242, 125, 410, 411, 71, 80, 13869])).
% 4.04/4.25 tff(13871,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(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(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13872,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13871, 13684, 411, 80, 410, 76, 13757])).
% 4.04/4.25 tff(13873,plain,
% 4.04/4.25 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[427, 13872])).
% 4.04/4.25 tff(13874,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(13875,plain,
% 4.04/4.25 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(13876,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[13875])).
% 4.04/4.25 tff(13877,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.25 inference(transitivity,[status(thm)],[13876, 13874])).
% 4.04/4.25 tff(13878,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(13879,plain,
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% 4.04/4.25 inference(modus_ponens,[status(thm)],[13878, 13877])).
% 4.04/4.25 tff(13880,plain,
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[13879, 91, 76, 13873, 13865, 13625, 13863])).
% 4.04/4.25 tff(13881,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13882,plain,
% 4.04/4.25 (~r(s(z), s(s(s(s(z)))))),
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% 4.04/4.25 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[563, 13882])).
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% 4.04/4.25 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13881, 411, 76, 80, 410, 115, 269])).
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[563, 13884])).
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% 4.04/4.25 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7939, 177, 13885, 76])).
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% 4.04/4.25 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[542, 13886])).
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[11260, 125, 410, 545, 269])).
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[246, 13888])).
% 4.04/4.25 tff(13890,plain,
% 4.04/4.25 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7501, 765, 411, 269])).
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% 4.04/4.25 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1093, 13890])).
% 4.04/4.25 tff(13892,plain,
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[1243, 765, 545, 411])).
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[267, 13892])).
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% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4030, 71, 765, 75])).
% 4.04/4.25 tff(13895,plain,
% 4.04/4.25 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1313, 13894])).
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% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(13897,plain,
% 4.04/4.25 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(13898,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[13897])).
% 4.04/4.25 tff(13899,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.25 inference(transitivity,[status(thm)],[13898, 13896])).
% 4.04/4.25 tff(13900,plain,
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% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(13901,plain,
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% 4.04/4.25 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 4.04/4.25 tff(13902,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13901, 91, 76, 13895, 1073, 13704, 349, 298])).
% 4.04/4.25 tff(13903,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13904,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13903, 13682, 1073, 76, 298, 765, 75, 115])).
% 4.04/4.25 tff(13905,plain,
% 4.04/4.25 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[427, 13904])).
% 4.04/4.25 tff(13906,plain,
% 4.04/4.25 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[5484, 13905, 1073, 298])).
% 4.04/4.25 tff(13907,plain,
% 4.04/4.25 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1313, 13906])).
% 4.04/4.25 tff(13908,plain,
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[11044, 125, 410, 765, 75, 13907, 545])).
% 4.04/4.25 tff(13909,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13910,plain,
% 4.04/4.25 (~r(z, s(s(s(s(s(z))))))),
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% 4.04/4.25 tff(13911,plain,
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% 4.04/4.25 tff(13912,plain,
% 4.04/4.25 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[8022, 13911, 13885, 13893, 13889, 76])).
% 4.04/4.25 tff(13913,plain,
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% 4.04/4.25 tff(13914,plain,
% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4882, 13913, 410, 545])).
% 4.04/4.25 tff(13915,plain,
% 4.04/4.25 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1313, 13914])).
% 4.04/4.25 tff(13916,plain,
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% 4.04/4.25 tff(13917,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13918,plain,
% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), z)),
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% 4.04/4.25 tff(13919,plain,
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% 4.04/4.25 tff(13920,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.04/4.25 tff(13921,plain,
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% 4.04/4.25 tff(13922,plain,
% 4.04/4.25 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
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% 4.04/4.25 tff(13923,plain,
% 4.04/4.25 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
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% 4.04/4.25 tff(13924,plain,
% 4.04/4.25 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[133, 13923, 80, 115])).
% 4.04/4.25 tff(13925,plain,
% 4.04/4.25 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[113, 13924])).
% 4.04/4.25 tff(13926,plain,
% 4.04/4.25 (~b(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[5970, 13925, 13921, 13919])).
% 4.04/4.25 tff(13927,plain,
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[427, 13926])).
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[447, 13927, 411, 410])).
% 4.04/4.25 tff(13929,plain,
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[267, 13928])).
% 4.04/4.25 tff(13930,plain,
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[8022, 13929, 13885, 13925, 13921, 76])).
% 4.04/4.25 tff(13931,plain,
% 4.04/4.25 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[163, 13930])).
% 4.04/4.25 tff(13932,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[8976, 13927, 80, 13923])).
% 4.04/4.25 tff(13933,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[314, 13932])).
% 4.04/4.25 tff(13934,plain,
% 4.04/4.25 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[5392, 13933, 76, 13919])).
% 4.04/4.25 tff(13935,plain,
% 4.04/4.25 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1093, 13934])).
% 4.04/4.25 tff(13936,plain,
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% 4.04/4.25 tff(13938,plain,
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% 4.04/4.25 tff(13939,plain,
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% 4.04/4.25 tff(13940,plain,
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% 4.04/4.25 inference(unit_resolution,[status(thm)],[5930, 13939, 13678, 411, 13861])).
% 4.04/4.25 tff(13941,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[314, 13940])).
% 4.04/4.25 tff(13942,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7611, 13939, 269, 13678, 13861])).
% 4.04/4.25 tff(13943,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[336, 13942])).
% 4.04/4.25 tff(13944,plain,
% 4.04/4.25 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7474, 13943, 76, 13941])).
% 4.04/4.25 tff(13945,plain,
% 4.04/4.25 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[1093, 13944])).
% 4.04/4.25 tff(13946,plain,
% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7501, 13945, 411, 269])).
% 4.04/4.25 tff(13947,plain,
% 4.04/4.25 (b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[763, 13946])).
% 4.04/4.25 tff(13948,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13871, 13945, 411, 12212, 13861, 76, 13943])).
% 4.04/4.25 tff(13949,plain,
% 4.04/4.25 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[427, 13948])).
% 4.04/4.25 tff(13950,plain,
% 4.04/4.25 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[11219, 13945, 12212, 13678, 13943, 76])).
% 4.04/4.25 tff(13951,plain,
% 4.04/4.25 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[113, 13950])).
% 4.04/4.25 tff(13952,plain,
% 4.04/4.25 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[5970, 13951, 13949, 13947])).
% 4.04/4.25 tff(13953,plain,
% 4.04/4.25 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[246, 13952])).
% 4.04/4.25 tff(13954,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[10910, 13953, 269, 13861, 76, 13883])).
% 4.04/4.25 tff(13955,plain,
% 4.04/4.25 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[369, 13954])).
% 4.04/4.25 tff(13956,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[10048, 91, 13949, 13951, 13941, 13955])).
% 4.04/4.25 tff(13957,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13958,plain,
% 4.04/4.25 (~r(s(z), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13957, 76, 269, 78])).
% 4.04/4.25 tff(13959,plain,
% 4.04/4.25 (b(s(z), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[408, 13958])).
% 4.04/4.25 tff(13960,plain,
% 4.04/4.25 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[12185, 76, 269, 12212, 13959])).
% 4.04/4.25 tff(13961,plain,
% 4.04/4.25 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[563, 13960])).
% 4.04/4.25 tff(13962,plain,
% 4.04/4.25 (~r(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[11891, 76, 12212, 269, 13959])).
% 4.04/4.25 tff(13963,plain,
% 4.04/4.25 (b(s(s(s(s(s(s(z)))))), z)),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[763, 13962])).
% 4.04/4.25 tff(13964,plain,
% 4.04/4.25 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[12185, 76, 269, 80, 72])).
% 4.04/4.25 tff(13965,plain,
% 4.04/4.25 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[563, 13964])).
% 4.04/4.25 tff(13966,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[11819, 429, 72, 73, 80, 76, 269])).
% 4.04/4.25 tff(13967,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[689, 13966])).
% 4.04/4.25 tff(13968,plain,
% 4.04/4.25 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[7597, 544, 545, 269])).
% 4.04/4.25 tff(13969,plain,
% 4.04/4.25 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[336, 13968])).
% 4.04/4.25 tff(13970,plain,
% 4.04/4.25 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[6057, 13969, 76, 13967])).
% 4.04/4.25 tff(13971,plain,
% 4.04/4.25 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[246, 13970])).
% 4.04/4.25 tff(13972,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(13973,plain,
% 4.04/4.25 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.04/4.25 inference(rewrite,[status(thm)],[])).
% 4.04/4.25 tff(13974,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 4.04/4.25 inference(monotonicity,[status(thm)],[13973])).
% 4.04/4.25 tff(13975,plain,
% 4.04/4.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.04/4.25 inference(transitivity,[status(thm)],[13974, 13972])).
% 4.04/4.25 tff(13976,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.04/4.25 inference(quant_inst,[status(thm)],[])).
% 4.04/4.25 tff(13977,plain,
% 4.04/4.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 4.04/4.25 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 4.04/4.25 tff(13978,plain,
% 4.04/4.25 ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13977, 91, 76, 565, 429, 72])).
% 4.04/4.25 tff(13979,plain,
% 4.04/4.25 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13978, 316])).
% 4.04/4.25 tff(13980,plain,
% 4.04/4.25 ((s(z) = s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[293, 64, 13979])).
% 4.04/4.25 tff(13981,plain,
% 4.04/4.25 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13980, 4865])).
% 4.04/4.25 tff(13982,plain,
% 4.04/4.25 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[4121, 316, 72, 429])).
% 4.04/4.25 tff(13983,plain,
% 4.04/4.25 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[542, 13982])).
% 4.04/4.25 tff(13984,plain,
% 4.04/4.25 ($false),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[11260, 125, 410, 216, 13983, 13981])).
% 4.04/4.25 tff(13985,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.25 tff(13986,plain,
% 4.04/4.25 (~r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[13985, 13971, 76, 72, 11893, 13965, 429])).
% 4.04/4.25 tff(13987,plain,
% 4.04/4.25 (b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.25 inference(unit_resolution,[status(thm)],[394, 13986])).
% 4.04/4.26 tff(13988,plain,
% 4.04/4.26 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[6302, 13987, 13965, 13967])).
% 4.04/4.26 tff(13989,plain,
% 4.04/4.26 (~r(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8976, 71, 80, 73])).
% 4.04/4.26 tff(13990,plain,
% 4.04/4.26 (b(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[314, 13989])).
% 4.04/4.26 tff(13991,plain,
% 4.04/4.26 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[5392, 13990, 76, 316])).
% 4.04/4.26 tff(13992,plain,
% 4.04/4.26 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1093, 13991])).
% 4.04/4.26 tff(13993,plain,
% 4.04/4.26 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[10994, 13990, 80, 73, 71, 72, 429])).
% 4.04/4.26 tff(13994,plain,
% 4.04/4.26 (r(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[113, 13993])).
% 4.04/4.26 tff(13995,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[9839, 71, 73, 80, 544])).
% 4.04/4.26 tff(13996,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[394, 13995])).
% 4.04/4.26 tff(13997,plain,
% 4.04/4.26 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[10922, 13996, 76, 72, 669, 13990])).
% 4.04/4.26 tff(13998,plain,
% 4.04/4.26 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1313, 13997])).
% 4.04/4.26 tff(13999,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8766, 13998, 13994, 76, 13992, 80])).
% 4.04/4.26 tff(14000,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14001,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14000, 544, 80, 72, 13967, 73, 429, 11893, 76])).
% 4.04/4.26 tff(14002,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[427, 14001])).
% 4.04/4.26 tff(14003,plain,
% 4.04/4.26 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[10952, 13971, 76, 13967, 269, 14002, 72, 13969, 80])).
% 4.04/4.26 tff(14004,plain,
% 4.04/4.26 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1313, 14003])).
% 4.04/4.26 tff(14005,plain,
% 4.04/4.26 (~r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[7805, 14004, 13971, 269])).
% 4.04/4.26 tff(14006,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[163, 14005, 13988])).
% 4.04/4.26 tff(14007,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14008,plain,
% 4.04/4.26 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14007, 429, 76, 72, 80, 269, 545, 73])).
% 4.04/4.26 tff(14009,plain,
% 4.04/4.26 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[201, 14008])).
% 4.04/4.26 tff(14010,plain,
% 4.04/4.26 (~b(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8578, 14009, 72, 429])).
% 4.04/4.26 tff(14011,plain,
% 4.04/4.26 (r(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[314, 14010])).
% 4.04/4.26 tff(14012,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8976, 14011, 80, 73])).
% 4.04/4.26 tff(14013,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[427, 14012])).
% 4.04/4.26 tff(14014,plain,
% 4.04/4.26 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[4395, 14009, 13965, 13967])).
% 4.04/4.26 tff(14015,plain,
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% 4.04/4.26 inference(unit_resolution,[status(thm)],[394, 14014])).
% 4.04/4.26 tff(14016,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[13985, 14015, 76, 72, 11893, 13965, 429])).
% 4.04/4.26 tff(14017,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[246, 14016])).
% 4.04/4.26 tff(14018,plain,
% 4.04/4.26 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[5970, 14017, 11893, 14013])).
% 4.04/4.26 tff(14019,plain,
% 4.04/4.26 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8766, 12216, 76, 75, 80])).
% 4.04/4.26 tff(14020,plain,
% 4.04/4.26 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1093, 14019])).
% 4.04/4.26 tff(14021,plain,
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% 4.04/4.26 inference(unit_resolution,[status(thm)],[12242, 91, 76, 79, 14020, 316, 298])).
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% 4.04/4.26 tff(14023,plain,
% 4.04/4.26 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14022, 14017, 14013, 11893, 76, 80, 13967])).
% 4.04/4.26 tff(14024,plain,
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% 4.04/4.26 inference(unit_resolution,[status(thm)],[113, 14023, 14018])).
% 4.04/4.26 tff(14025,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14026,plain,
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% 4.04/4.26 inference(unit_resolution,[status(thm)],[14025, 73, 80, 72, 76, 269, 545])).
% 4.04/4.26 tff(14027,plain,
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% 4.04/4.26 inference(unit_resolution,[status(thm)],[267, 14026])).
% 4.04/4.26 tff(14028,plain,
% 4.04/4.26 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[11827, 14027, 269, 13965, 76, 80])).
% 4.04/4.26 tff(14029,plain,
% 4.04/4.26 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1093, 14028])).
% 4.04/4.26 tff(14030,plain,
% 4.04/4.26 (~b(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[5392, 14029, 76, 11893])).
% 4.04/4.26 tff(14031,plain,
% 4.04/4.26 (r(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[314, 14030])).
% 4.04/4.26 tff(14032,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8976, 14031, 80, 73])).
% 4.04/4.26 tff(14033,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[427, 14032])).
% 4.04/4.26 tff(14034,plain,
% 4.04/4.26 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[133, 115, 80, 73])).
% 4.04/4.26 tff(14035,plain,
% 4.04/4.26 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[11827, 270, 269, 13965, 76, 80])).
% 4.04/4.26 tff(14036,plain,
% 4.04/4.26 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1093, 14035])).
% 4.04/4.26 tff(14037,plain,
% 4.04/4.26 (~b(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[5392, 14036, 76, 11893])).
% 4.04/4.26 tff(14038,plain,
% 4.04/4.26 (r(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[314, 14037])).
% 4.04/4.26 tff(14039,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8976, 14038, 80, 73])).
% 4.04/4.26 tff(14040,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[427, 14039])).
% 4.04/4.26 tff(14041,plain,
% 4.04/4.26 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[7952, 115, 269, 13965, 270, 76, 14040, 72])).
% 4.04/4.26 tff(14042,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[113, 14041, 14034])).
% 4.04/4.26 tff(14043,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14044,plain,
% 4.04/4.26 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14043, 14027, 269, 76, 72, 80, 73])).
% 4.04/4.26 tff(14045,plain,
% 4.04/4.26 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[689, 14044])).
% 4.04/4.26 tff(14046,plain,
% 4.04/4.26 (~r(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[10498, 75, 80, 73, 270])).
% 4.04/4.26 tff(14047,plain,
% 4.04/4.26 (b(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[201, 14046])).
% 4.04/4.26 tff(14048,plain,
% 4.04/4.26 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[4395, 14047, 565, 669])).
% 4.04/4.26 tff(14049,plain,
% 4.04/4.26 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[11827, 270, 269, 565, 76, 80])).
% 4.04/4.26 tff(14050,plain,
% 4.04/4.26 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1093, 14049])).
% 4.04/4.26 tff(14051,plain,
% 4.04/4.26 (~b(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[5392, 14050, 76, 316])).
% 4.04/4.26 tff(14052,plain,
% 4.04/4.26 (r(s(s(s(s(z)))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[314, 14051])).
% 4.04/4.26 tff(14053,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[8976, 14052, 80, 73])).
% 4.04/4.26 tff(14054,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[427, 14053])).
% 4.04/4.26 tff(14055,plain,
% 4.04/4.26 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14022, 75, 14054, 316, 76, 80, 669])).
% 4.04/4.26 tff(14056,plain,
% 4.04/4.26 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[246, 14055])).
% 4.04/4.26 tff(14057,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[10910, 14056, 269, 565, 76, 73])).
% 4.04/4.26 tff(14058,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[394, 14057, 14048])).
% 4.04/4.26 tff(14059,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14060,plain,
% 4.04/4.26 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14059, 73, 13965, 76, 269, 14045, 11893, 80, 14027])).
% 4.04/4.26 tff(14061,plain,
% 4.04/4.26 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[113, 14060])).
% 4.04/4.26 tff(14062,plain,
% 4.04/4.26 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[10540, 14061, 76, 72, 13965, 14045, 14033])).
% 4.04/4.26 tff(14063,plain,
% 4.04/4.26 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[419, 14061, 11893, 14033])).
% 4.04/4.26 tff(14064,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1313, 14063, 14062])).
% 4.04/4.26 tff(14065,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14066,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14065, 545, 72, 269, 80, 76])).
% 4.04/4.26 tff(14067,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[369, 14066])).
% 4.04/4.26 tff(14068,plain,
% 4.04/4.26 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[5775, 298, 349, 76])).
% 4.04/4.26 tff(14069,plain,
% 4.04/4.26 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[336, 14068])).
% 4.04/4.26 tff(14070,plain,
% 4.04/4.26 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[11251, 298, 565, 76, 349])).
% 4.04/4.26 tff(14071,plain,
% 4.04/4.26 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[201, 14070])).
% 4.04/4.26 tff(14072,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[7597, 14071, 14069, 545, 269])).
% 4.04/4.26 tff(14073,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(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(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14074,plain,
% 4.04/4.26 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14073, 545, 269, 13965, 76, 14067])).
% 4.04/4.26 tff(14075,plain,
% 4.04/4.26 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[246, 14074])).
% 4.04/4.26 tff(14076,plain,
% 4.04/4.26 (~r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[6788, 14075, 545, 269])).
% 4.04/4.26 tff(14077,plain,
% 4.04/4.26 (b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[394, 14076])).
% 4.04/4.26 tff(14078,plain,
% 4.04/4.26 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[7361, 14077, 13965, 14067])).
% 4.04/4.26 tff(14079,plain,
% 4.04/4.26 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[201, 14078])).
% 4.04/4.26 tff(14080,plain,
% 4.04/4.26 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[7597, 14079, 545, 269])).
% 4.04/4.26 tff(14081,plain,
% 4.04/4.26 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[336, 14080])).
% 4.04/4.26 tff(14082,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(14083,plain,
% 4.04/4.26 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(14084,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[14083])).
% 4.04/4.26 tff(14085,plain,
% 4.04/4.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(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(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[14084, 14082])).
% 4.04/4.26 tff(14086,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(14087,plain,
% 4.04/4.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 4.04/4.26 tff(14088,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14087, 91, 14077, 76, 13965, 14081, 14067])).
% 4.04/4.26 tff(14089,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14090,plain,
% 4.04/4.26 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14089, 76, 269, 13959, 12212])).
% 4.04/4.26 tff(14091,plain,
% 4.04/4.26 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[542, 14090])).
% 4.04/4.26 tff(14092,plain,
% 4.04/4.26 (~b(z, s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[4121, 14091, 13959, 13963])).
% 4.04/4.26 tff(14093,plain,
% 4.04/4.26 (r(z, s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[267, 14092])).
% 4.04/4.26 tff(14094,plain,
% 4.04/4.26 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[6938, 14091, 13963, 13959])).
% 4.04/4.26 tff(14095,plain,
% 4.04/4.26 (r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[1093, 14094])).
% 4.04/4.26 tff(14096,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[11827, 14095, 14093, 269, 13961, 76, 12212])).
% 4.04/4.26 tff(14097,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14098,plain,
% 4.04/4.26 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14097, 12211, 10829])).
% 4.04/4.26 tff(14099,plain,
% 4.04/4.26 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[69, 14098])).
% 4.04/4.26 tff(14100,plain,
% 4.04/4.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(14101,plain,
% 4.04/4.26 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(14102,plain,
% 4.04/4.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[14101])).
% 4.04/4.26 tff(14103,plain,
% 4.04/4.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[14102, 14100])).
% 4.04/4.26 tff(14104,plain,
% 4.04/4.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(14105,plain,
% 4.04/4.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 4.04/4.26 tff(14106,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14105, 125, 215, 14099, 135, 411, 10829])).
% 4.04/4.26 tff(14107,plain,((~r(s(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.26 tff(14108,plain,
% 4.04/4.26 (~r(s(z), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14107, 12208, 135, 316])).
% 4.04/4.26 tff(14109,plain,
% 4.04/4.26 (b(s(z), z)),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[408, 14108])).
% 4.04/4.26 tff(14110,plain,
% 4.04/4.26 (~b(z, s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[4121, 72, 526, 316])).
% 4.04/4.26 tff(14111,plain,
% 4.04/4.26 (r(z, s(z))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[267, 14110])).
% 4.04/4.26 tff(14112,plain,
% 4.04/4.26 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[12185, 72, 8560, 10829, 135])).
% 4.04/4.26 tff(14113,plain,
% 4.04/4.26 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[69, 14112])).
% 4.04/4.26 tff(14114,plain,
% 4.04/4.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(14115,plain,
% 4.04/4.26 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 4.04/4.26 inference(rewrite,[status(thm)],[])).
% 4.04/4.26 tff(14116,plain,
% 4.04/4.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))))),
% 4.04/4.26 inference(monotonicity,[status(thm)],[14115])).
% 4.04/4.26 tff(14117,plain,
% 4.04/4.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 4.04/4.26 inference(transitivity,[status(thm)],[14116, 14114])).
% 4.04/4.26 tff(14118,plain,
% 4.04/4.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 4.04/4.26 inference(quant_inst,[status(thm)],[])).
% 4.04/4.26 tff(14119,plain,
% 4.04/4.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z)))),
% 4.04/4.26 inference(modus_ponens,[status(thm)],[14118, 14117])).
% 4.04/4.26 tff(14120,plain,
% 4.04/4.26 ($false),
% 4.04/4.26 inference(unit_resolution,[status(thm)],[14119, 125, 215, 14113, 14111, 8560, 10829])).
% 4.04/4.27 tff(14121,plain,((~b(s(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(14122,plain,
% 4.04/4.27 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[14121, 14109, 135, 12208, 316])).
% 4.04/4.27 tff(14123,plain,
% 4.04/4.27 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[542, 14122])).
% 4.04/4.27 tff(14124,plain,
% 4.04/4.27 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[6788, 14123, 10829, 410])).
% 4.04/4.27 tff(14125,plain,
% 4.04/4.27 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[246, 14124])).
% 4.04/4.27 tff(14126,plain,
% 4.04/4.27 (~r(z, s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[6832, 14123, 10829, 12208])).
% 4.04/4.27 tff(14127,plain,
% 4.04/4.27 (b(z, s(z))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[267, 14126])).
% 4.04/4.27 tff(14128,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14129,plain,
% 4.04/4.27 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14130,plain,
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% 4.04/4.27 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[6553, 14213, 14207, 14201])).
% 4.04/4.27 tff(14215,plain,
% 4.04/4.27 (r(z, s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[113, 14214])).
% 4.04/4.27 tff(14216,plain,
% 4.04/4.27 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[10323, 14215, 14199, 8560, 14203])).
% 4.04/4.27 tff(14217,plain,
% 4.04/4.27 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[689, 14216])).
% 4.04/4.27 tff(14218,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14219,plain,
% 4.04/4.27 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14220,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[14219])).
% 4.04/4.27 tff(14221,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 4.04/4.27 inference(transitivity,[status(thm)],[14220, 14218])).
% 4.04/4.27 tff(14222,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.04/4.27 inference(quant_inst,[status(thm)],[])).
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% 4.04/4.27 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 4.04/4.27 tff(14224,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[14223, 91, 14213, 14207, 14217, 177, 14201])).
% 4.04/4.27 tff(14225,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(14226,plain,
% 4.04/4.27 (~r(s(z), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[14225, 177, 316])).
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% 4.04/4.27 (b(s(z), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[563, 14226])).
% 4.04/4.27 tff(14228,plain,
% 4.04/4.27 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1233, 526, 177, 14227])).
% 4.04/4.27 tff(14229,plain,
% 4.04/4.27 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[336, 14228])).
% 4.04/4.27 tff(14230,plain,
% 4.04/4.27 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[7939, 526, 177, 14227])).
% 4.04/4.27 tff(14231,plain,
% 4.04/4.27 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[69, 14230])).
% 4.04/4.27 tff(14232,plain,
% 4.04/4.27 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[378, 8998, 204, 347])).
% 4.04/4.27 tff(14233,plain,
% 4.04/4.27 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[4395, 77, 177, 565])).
% 4.04/4.27 tff(14234,plain,
% 4.04/4.27 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[689, 14233])).
% 4.04/4.27 tff(14235,plain,
% 4.04/4.27 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[8622, 347, 80, 204])).
% 4.04/4.27 tff(14236,plain,
% 4.04/4.27 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1093, 14235])).
% 4.04/4.27 tff(14237,plain,
% 4.04/4.27 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[212, 115, 204, 73])).
% 4.04/4.27 tff(14238,plain,
% 4.04/4.27 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1313, 14237])).
% 4.04/4.27 tff(14239,plain,
% 4.04/4.27 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[113, 14034])).
% 4.04/4.27 tff(14240,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14241,plain,
% 4.04/4.27 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14242,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[14241])).
% 4.04/4.27 tff(14243,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.04/4.27 inference(transitivity,[status(thm)],[14242, 14240])).
% 4.04/4.27 tff(14244,plain,
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% 4.04/4.27 inference(quant_inst,[status(thm)],[])).
% 4.04/4.27 tff(14245,plain,
% 4.04/4.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 4.04/4.27 inference(modus_ponens,[status(thm)],[14244, 14243])).
% 4.04/4.27 tff(14246,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[14245, 91, 14239, 14238, 1073, 298])).
% 4.04/4.27 tff(14247,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(14248,plain,
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% 4.04/4.27 tff(14249,plain,
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% 4.04/4.27 inference(unit_resolution,[status(thm)],[246, 14248, 14232])).
% 4.04/4.27 tff(14250,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(14251,plain,
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% 4.04/4.27 tff(14253,plain,
% 4.04/4.27 (~r(z, s(s(s(s(s(s(z)))))))),
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% 4.04/4.27 tff(14254,plain,
% 4.04/4.27 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1093, 14253])).
% 4.04/4.27 tff(14255,plain,
% 4.04/4.27 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.04/4.27 tff(14256,plain,
% 4.04/4.27 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.04/4.27 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
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% 4.04/4.27 tff(14258,plain,
% 4.04/4.27 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
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% 4.04/4.27 tff(14259,plain,
% 4.04/4.27 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 4.04/4.27 tff(14260,plain,
% 4.04/4.27 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 4.04/4.27 tff(14261,plain,
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% 4.04/4.27 tff(14262,plain,
% 4.04/4.27 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 4.04/4.27 tff(14263,plain,
% 4.04/4.27 (~r(s(z), s(s(s(s(s(z))))))),
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% 4.04/4.27 tff(14264,plain,
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% 4.04/4.27 tff(14265,plain,
% 4.04/4.27 ($false),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[6663, 14264, 14262, 565, 14258])).
% 4.04/4.27 tff(14266,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.27 tff(14267,plain,
% 4.04/4.27 (~b(s(s(s(s(s(z))))), z)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[14266, 14252, 14231, 14227, 14229, 316])).
% 4.04/4.27 tff(14268,plain,
% 4.04/4.27 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[8622, 14229, 8560, 14231])).
% 4.04/4.27 tff(14269,plain,
% 4.04/4.27 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[1093, 14268])).
% 4.04/4.27 tff(14270,plain,
% 4.04/4.27 (~b(s(z), z)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[6938, 14269, 316, 526])).
% 4.04/4.27 tff(14271,plain,
% 4.04/4.27 (r(s(z), z)),
% 4.04/4.27 inference(unit_resolution,[status(thm)],[408, 14270])).
% 4.04/4.27 tff(14272,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14273,plain,
% 4.04/4.27 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(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))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.04/4.27 inference(rewrite,[status(thm)],[])).
% 4.04/4.27 tff(14274,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 4.04/4.27 inference(monotonicity,[status(thm)],[14273])).
% 4.04/4.27 tff(14275,plain,
% 4.04/4.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[14274, 14272])).
% 4.04/4.28 tff(14276,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 4.04/4.28 inference(quant_inst,[status(thm)],[])).
% 4.04/4.28 tff(14277,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[14276, 14275])).
% 4.04/4.28 tff(14278,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14277, 91, 14227, 429, 177, 316, 526])).
% 4.04/4.28 tff(14279,plain,((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14280,plain,
% 4.04/4.28 (~b(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14279, 526, 316, 177])).
% 4.04/4.28 tff(14281,plain,
% 4.04/4.28 (r(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[267, 14280])).
% 4.04/4.28 tff(14282,plain,
% 4.04/4.28 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[447, 14252, 14281, 14271])).
% 4.04/4.28 tff(14283,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[427, 14282, 14267])).
% 4.04/4.28 tff(14284,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14285,plain,
% 4.04/4.28 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14284, 177, 316])).
% 4.04/4.28 tff(14286,plain,
% 4.04/4.28 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[542, 14285])).
% 4.04/4.28 tff(14287,plain,
% 4.04/4.28 (b(z, s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14097, 76, 10829])).
% 4.04/4.28 tff(14288,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[6170, 14287, 76, 177, 14227, 316])).
% 4.04/4.28 tff(14289,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14290,plain,
% 4.04/4.28 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14289, 177, 316])).
% 4.04/4.28 tff(14291,plain,
% 4.04/4.28 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[69, 14290])).
% 4.04/4.28 tff(14292,plain,
% 4.04/4.28 (~r(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[6832, 215, 10829, 14286])).
% 4.04/4.28 tff(14293,plain,
% 4.04/4.28 (b(z, s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[267, 14292])).
% 4.04/4.28 tff(14294,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14295,plain,
% 4.04/4.28 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(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(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14296,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), z))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[14295])).
% 4.04/4.28 tff(14297,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), z)))),
% 4.04/4.28 inference(transitivity,[status(thm)],[14296, 14294])).
% 4.04/4.28 tff(14298,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))),
% 4.04/4.28 inference(quant_inst,[status(thm)],[])).
% 4.04/4.28 tff(14299,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 4.04/4.28 tff(14300,plain,
% 4.04/4.28 (~b(s(s(s(s(z)))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14299, 91, 14227, 14293, 177])).
% 4.04/4.28 tff(14301,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[314, 14300])).
% 4.04/4.28 tff(14302,plain,
% 4.04/4.28 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[4395, 77, 177, 14227])).
% 4.04/4.28 tff(14303,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[689, 14302])).
% 4.04/4.28 tff(14304,plain,
% 4.04/4.28 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[7361, 77, 177, 14227])).
% 4.04/4.28 tff(14305,plain,
% 4.04/4.28 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[369, 14304])).
% 4.04/4.28 tff(14306,plain,
% 4.04/4.28 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[133, 14305, 8560, 14303])).
% 4.04/4.28 tff(14307,plain,
% 4.04/4.28 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[8982, 14305, 316, 204, 1020, 14303])).
% 4.04/4.28 tff(14308,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[113, 14307, 14306])).
% 4.04/4.28 tff(14309,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14310,plain,
% 4.04/4.28 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14309, 14301, 14291, 316, 177])).
% 4.04/4.28 tff(14311,plain,
% 4.04/4.28 (r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[394, 14310])).
% 4.04/4.28 tff(14312,plain,
% 4.04/4.28 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[6788, 14311, 10829, 14286])).
% 4.04/4.28 tff(14313,plain,
% 4.04/4.28 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[246, 14312])).
% 4.04/4.28 tff(14314,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14315,plain,
% 4.04/4.28 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14316,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[14315])).
% 4.04/4.28 tff(14317,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(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(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[14316, 14314])).
% 4.04/4.28 tff(14318,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.28 inference(quant_inst,[status(thm)],[])).
% 4.04/4.28 tff(14319,plain,
% 4.04/4.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[14318, 14317])).
% 4.04/4.28 tff(14320,plain,
% 4.04/4.28 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14319, 91, 14293, 318, 177, 316, 14313])).
% 4.04/4.28 tff(14321,plain,
% 4.04/4.28 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[369, 14320])).
% 4.04/4.28 tff(14322,plain,
% 4.04/4.28 (~r(s(s(s(s(s(z))))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[8976, 14321, 8560, 14301])).
% 4.04/4.28 tff(14323,plain,
% 4.04/4.28 (b(s(s(s(s(s(z))))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[427, 14322])).
% 4.04/4.28 tff(14324,plain,
% 4.04/4.28 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[5970, 14323, 316, 14313])).
% 4.04/4.28 tff(14325,plain,
% 4.04/4.28 (r(z, s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[113, 14324])).
% 4.04/4.28 tff(14326,plain,
% 4.04/4.28 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[10323, 14325, 215, 8560, 14291])).
% 4.04/4.28 tff(14327,plain,
% 4.04/4.28 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[689, 14326])).
% 4.04/4.28 tff(14328,plain,
% 4.04/4.28 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[9228, 91, 318, 14327, 316, 14313])).
% 4.04/4.28 tff(14329,plain,
% 4.04/4.28 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1313, 14328])).
% 4.04/4.28 tff(14330,plain,
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% 4.04/4.28 inference(unit_resolution,[status(thm)],[9276, 125, 14325, 14329, 215, 8560, 14321])).
% 4.04/4.28 tff(14331,plain,((~r(z, s(s(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)))))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14332,plain,
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% 4.04/4.28 inference(unit_resolution,[status(thm)],[14331, 318, 316, 177])).
% 4.04/4.28 tff(14333,plain,
% 4.04/4.28 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1093, 14332])).
% 4.04/4.28 tff(14334,plain,
% 4.04/4.28 (~b(s(s(s(s(z)))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[9687, 14333, 318, 316])).
% 4.04/4.28 tff(14335,plain,
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% 4.04/4.28 inference(unit_resolution,[status(thm)],[314, 14334])).
% 4.04/4.28 tff(14336,plain,
% 4.04/4.28 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14309, 14335, 14291, 316, 177])).
% 4.04/4.28 tff(14337,plain,
% 4.04/4.28 (r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[394, 14336])).
% 4.04/4.28 tff(14338,plain,
% 4.04/4.28 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.04/4.28 tff(14339,plain,
% 4.04/4.28 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[246, 14338])).
% 4.04/4.28 tff(14340,plain,
% 4.04/4.28 (~b(s(s(s(s(s(z))))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[6212, 14339, 316, 14333])).
% 4.04/4.28 tff(14341,plain,
% 4.04/4.28 (r(s(s(s(s(s(z))))), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[427, 14340])).
% 4.04/4.28 tff(14342,plain,
% 4.04/4.28 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[8976, 14341, 8560, 14335])).
% 4.04/4.28 tff(14343,plain,
% 4.04/4.28 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[369, 14342])).
% 4.04/4.28 tff(14344,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(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(X1, 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(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14345,plain,
% 4.04/4.28 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14346,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[14345])).
% 4.04/4.28 tff(14347,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[14346, 14344])).
% 4.04/4.28 tff(14348,plain,
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% 4.04/4.28 inference(quant_inst,[status(thm)],[])).
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% 4.04/4.28 inference(modus_ponens,[status(thm)],[14348, 14347])).
% 4.04/4.28 tff(14350,plain,
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% 4.04/4.28 inference(unit_resolution,[status(thm)],[14349, 91, 565, 176, 177, 349])).
% 4.04/4.28 tff(14351,plain,((~b(s(z), s(s(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(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14352,plain,
% 4.04/4.28 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14351, 14343, 177, 14227])).
% 4.04/4.28 tff(14353,plain,
% 4.04/4.28 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[163, 14352])).
% 4.04/4.28 tff(14354,plain,
% 4.04/4.28 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[5050, 14343, 318, 14339])).
% 4.04/4.28 tff(14355,plain,
% 4.04/4.28 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1313, 14354])).
% 4.04/4.28 tff(14356,plain,
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% 4.04/4.28 inference(unit_resolution,[status(thm)],[4882, 14355, 14353, 14286, 14337])).
% 4.04/4.28 tff(14357,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14358,plain,
% 4.04/4.28 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14357, 177, 316])).
% 4.04/4.28 tff(14359,plain,
% 4.04/4.28 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[336, 14358])).
% 4.04/4.28 tff(14360,plain,
% 4.04/4.28 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14250, 14359, 8560, 14291, 177, 14227])).
% 4.04/4.28 tff(14361,plain,
% 4.04/4.28 (r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[394, 14360])).
% 4.04/4.28 tff(14362,plain,
% 4.04/4.28 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[6788, 14361, 10829, 14286])).
% 4.04/4.28 tff(14363,plain,
% 4.04/4.28 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[246, 14362])).
% 4.04/4.28 tff(14364,plain,
% 4.04/4.28 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[8622, 14359, 8560, 14291])).
% 4.04/4.28 tff(14365,plain,
% 4.04/4.28 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[1093, 14364])).
% 4.04/4.28 tff(14366,plain,
% 4.04/4.28 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14367,plain,
% 4.04/4.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[14366])).
% 4.04/4.28 tff(14368,plain,
% 4.04/4.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[14367, 5720])).
% 4.04/4.28 tff(14369,plain,
% 4.04/4.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.28 inference(quant_inst,[status(thm)],[])).
% 4.04/4.28 tff(14370,plain,
% 4.04/4.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.04/4.28 inference(modus_ponens,[status(thm)],[14369, 14368])).
% 4.04/4.28 tff(14371,plain,
% 4.04/4.28 ($false),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14370, 125, 204, 347, 4961, 4539])).
% 4.04/4.28 tff(14372,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.28 tff(14373,plain,
% 4.04/4.28 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[14372, 4539, 347, 204])).
% 4.04/4.28 tff(14374,plain,
% 4.04/4.28 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[5705, 14373])).
% 4.04/4.28 tff(14375,plain,
% 4.04/4.28 (~r(s(s(z)), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[9169, 4539, 8560, 1020])).
% 4.04/4.28 tff(14376,plain,
% 4.04/4.28 (b(s(s(z)), z)),
% 4.04/4.28 inference(unit_resolution,[status(thm)],[898, 14375])).
% 4.04/4.28 tff(14377,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14378,plain,
% 4.04/4.28 (((~b(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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.04/4.28 inference(rewrite,[status(thm)],[])).
% 4.04/4.28 tff(14379,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 4.04/4.28 inference(monotonicity,[status(thm)],[14378])).
% 4.04/4.28 tff(14380,plain,
% 4.04/4.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.04/4.28 inference(transitivity,[status(thm)],[14379, 14377])).
% 4.04/4.29 tff(14381,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(14382,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[14381, 14380])).
% 4.04/4.29 tff(14383,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14382, 91, 14376, 14254, 14374, 316])).
% 4.04/4.29 tff(14384,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(14385,plain,
% 4.04/4.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14384, 1020, 347, 204, 316])).
% 4.04/4.29 tff(14386,plain,
% 4.04/4.29 (b(s(s(z)), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[4476, 14385])).
% 4.04/4.29 tff(14387,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14388,plain,
% 4.04/4.29 (((~b(s(z), s(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(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(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14389,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z)))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[14388])).
% 4.04/4.29 tff(14390,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))),
% 4.04/4.29 inference(transitivity,[status(thm)],[14389, 14387])).
% 4.04/4.29 tff(14391,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(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(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(14392,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z)))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[14391, 14390])).
% 4.04/4.29 tff(14393,plain,
% 4.04/4.29 (~b(s(s(z)), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14392, 91, 14386, 14227, 177])).
% 4.04/4.29 tff(14394,plain,
% 4.04/4.29 (r(s(s(z)), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[857, 14393])).
% 4.04/4.29 tff(14395,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z), 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(14396,plain,
% 4.04/4.29 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(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(z), 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(14397,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[14396])).
% 4.04/4.29 tff(14398,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.04/4.29 inference(transitivity,[status(thm)],[14397, 14395])).
% 4.04/4.29 tff(14399,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(14400,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[14399, 14398])).
% 4.04/4.29 tff(14401,plain,
% 4.04/4.29 (~b(s(z), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14400, 91, 14386, 14227, 177])).
% 4.04/4.29 tff(14402,plain,
% 4.04/4.29 (r(s(z), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1004, 14401])).
% 4.04/4.29 tff(14403,plain,
% 4.04/4.29 (~b(s(s(s(s(s(z))))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14309, 1020, 204, 316, 177])).
% 4.04/4.29 tff(14404,plain,
% 4.04/4.29 (r(s(s(s(s(s(z))))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[394, 14403])).
% 4.04/4.29 tff(14405,plain,
% 4.04/4.29 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[11374, 125, 14404, 14402, 14394])).
% 4.04/4.29 tff(14406,plain,
% 4.04/4.29 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[5101, 14405])).
% 4.04/4.29 tff(14407,plain,
% 4.04/4.29 (~b(s(s(s(s(s(z))))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14266, 14404, 204, 14227, 347, 316])).
% 4.04/4.29 tff(14408,plain,
% 4.04/4.29 (r(s(s(s(s(s(z))))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[427, 14407])).
% 4.04/4.29 tff(14409,plain,
% 4.04/4.29 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[8976, 14408, 8560, 1020])).
% 4.04/4.29 tff(14410,plain,
% 4.04/4.29 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[369, 14409])).
% 4.04/4.29 tff(14411,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14412,plain,
% 4.04/4.29 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14413,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[14412])).
% 4.04/4.29 tff(14414,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.04/4.29 inference(transitivity,[status(thm)],[14413, 14411])).
% 4.04/4.29 tff(14415,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(14416,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[14415, 14414])).
% 4.04/4.29 tff(14417,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14416, 91, 14386, 14227, 177, 14410, 14406])).
% 4.04/4.29 tff(14418,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(14419,plain,
% 4.04/4.29 (~r(s(s(s(s(z)))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14418, 14359, 177, 14291, 316])).
% 4.04/4.29 tff(14420,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[314, 14419])).
% 4.04/4.29 tff(14421,plain,
% 4.04/4.29 (~b(s(z), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[8568, 14420, 316, 177, 14365])).
% 4.04/4.29 tff(14422,plain,
% 4.04/4.29 (r(s(z), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[408, 14421])).
% 4.04/4.29 tff(14423,plain,
% 4.04/4.29 (~b(s(s(s(s(s(z))))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14266, 14361, 14291, 14227, 14359, 316])).
% 4.04/4.29 tff(14424,plain,
% 4.04/4.29 (r(s(s(s(s(s(z))))), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[427, 14423])).
% 4.04/4.29 tff(14425,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[9242, 125, 410, 411, 71, 80, 73])).
% 4.04/4.29 tff(14426,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(14427,plain,
% 4.04/4.29 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14426, 14422, 14424, 14361, 8560])).
% 4.04/4.29 tff(14428,plain,
% 4.04/4.29 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[369, 14427])).
% 4.04/4.29 tff(14429,plain,
% 4.04/4.29 (~b(s(z), s(s(s(s(s(z))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14351, 14428, 177, 14227])).
% 4.04/4.29 tff(14430,plain,
% 4.04/4.29 (r(s(z), s(s(s(s(s(z))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[163, 14429])).
% 4.04/4.29 tff(14431,plain,
% 4.04/4.29 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[5620, 14430, 14424, 14422])).
% 4.04/4.29 tff(14432,plain,
% 4.04/4.29 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[113, 14431])).
% 4.04/4.29 tff(14433,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14434,plain,
% 4.04/4.29 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14435,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[14434])).
% 4.04/4.29 tff(14436,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.04/4.29 inference(transitivity,[status(thm)],[14435, 14433])).
% 4.04/4.29 tff(14437,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))),
% 4.04/4.29 inference(quant_inst,[status(thm)],[])).
% 4.04/4.29 tff(14438,plain,
% 4.04/4.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 4.04/4.29 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 4.04/4.29 tff(14439,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14438, 91, 14432, 14365, 316, 14363])).
% 4.04/4.29 tff(14440,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(14441,plain,
% 4.04/4.29 (~b(s(s(s(s(z)))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14440, 316])).
% 4.04/4.29 tff(14442,plain,
% 4.04/4.29 (r(s(s(s(s(z)))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[201, 14441])).
% 4.04/4.29 tff(14443,plain,
% 4.04/4.29 (~r(s(z), z)),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[8495, 14287, 10829, 316, 14442])).
% 4.04/4.29 tff(14444,plain,
% 4.04/4.29 ($false),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[408, 14443, 12186])).
% 4.04/4.29 tff(14445,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.29 tff(14446,plain,
% 4.04/4.29 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14445, 135, 316])).
% 4.04/4.29 tff(14447,plain,
% 4.04/4.29 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[69, 14446])).
% 4.04/4.29 tff(14448,plain,
% 4.04/4.29 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[6914, 14447, 10829, 135])).
% 4.04/4.29 tff(14449,plain,
% 4.04/4.29 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[336, 14448])).
% 4.04/4.29 tff(14450,plain,
% 4.04/4.29 (~r(z, s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[9665, 135, 8560, 14442])).
% 4.04/4.29 tff(14451,plain,
% 4.04/4.29 (b(z, s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[267, 14450])).
% 4.04/4.29 tff(14452,plain,
% 4.04/4.29 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[553, 14447, 14442, 135])).
% 4.04/4.29 tff(14453,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[542, 14452])).
% 4.04/4.29 tff(14454,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[4121, 14453, 14451, 316])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[408, 14454])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[14107, 14455, 135, 316])).
% 4.04/4.29 tff(14457,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[1093, 14456])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[9068, 14455, 8560, 135])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[314, 14458])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[9687, 14459, 14457, 14449, 316])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[14461, 316])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[563, 14462])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[8294, 14463, 316, 10829, 14442])).
% 4.04/4.29 tff(14465,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[14097, 14464, 10829])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[69, 14465])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[11006, 215, 8560, 10829, 14442])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[267, 14467])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[4121, 14468, 72, 316])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[542, 14469])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[6553, 14468, 77, 72])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[113, 14471])).
% 4.04/4.29 tff(14473,plain,
% 4.04/4.29 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[10323, 14472, 215, 8560, 14466])).
% 4.04/4.29 tff(14474,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[689, 14473])).
% 4.04/4.29 tff(14475,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[10691, 14474, 14463, 77])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[369, 14475])).
% 4.04/4.29 tff(14477,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[8039, 14476, 10829, 14442, 14474, 14470])).
% 4.04/4.29 tff(14478,plain,
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[246, 14477])).
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% 4.04/4.29 inference(unit_resolution,[status(thm)],[10615, 125, 14472, 215, 14466, 8560, 14478])).
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% 4.04/4.29 tff(14481,plain,
% 4.04/4.29 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[14480, 72, 77, 316])).
% 4.04/4.29 tff(14482,plain,
% 4.04/4.29 (b(z, s(s(s(s(s(s(z)))))))),
% 4.04/4.29 inference(unit_resolution,[status(thm)],[1093, 14481])).
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% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14484,plain,
% 4.04/4.29 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 4.04/4.29 inference(rewrite,[status(thm)],[])).
% 4.04/4.29 tff(14485,plain,
% 4.04/4.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 4.04/4.29 inference(monotonicity,[status(thm)],[14484])).
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% 4.04/4.30 inference(transitivity,[status(thm)],[14485, 14483])).
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% 4.04/4.30 inference(quant_inst,[status(thm)],[])).
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% 4.04/4.30 inference(modus_ponens,[status(thm)],[14487, 14486])).
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% 4.04/4.30 inference(unit_resolution,[status(thm)],[14488, 91, 77, 79, 14482, 72, 316])).
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% 4.04/4.30 tff(14491,plain,
% 4.04/4.30 (~b(s(s(s(s(s(z))))), z)),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[14490, 72, 77, 316])).
% 4.04/4.30 tff(14492,plain,
% 4.04/4.30 (r(s(s(s(s(s(z))))), z)),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[427, 14491])).
% 4.04/4.30 tff(14493,plain,
% 4.04/4.30 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[6938, 14482, 316, 72])).
% 4.04/4.30 tff(14494,plain,
% 4.04/4.30 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[542, 14493])).
% 4.04/4.30 tff(14495,plain,
% 4.04/4.30 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[7597, 14494, 10829, 14442])).
% 4.04/4.30 tff(14496,plain,
% 4.04/4.30 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[336, 14495])).
% 4.04/4.30 tff(14497,plain,
% 4.04/4.30 (~b(s(s(s(s(z)))), z)),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[9687, 14496, 14482, 316])).
% 4.04/4.30 tff(14498,plain,
% 4.04/4.30 (r(s(s(s(s(z)))), z)),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[314, 14497])).
% 4.04/4.30 tff(14499,plain,
% 4.04/4.30 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[8976, 14492, 8560, 14498])).
% 4.04/4.30 tff(14500,plain,
% 4.04/4.30 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[369, 14499])).
% 4.04/4.30 tff(14501,plain,
% 4.04/4.30 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[10691, 14500, 14463, 77])).
% 4.04/4.30 tff(14502,plain,
% 4.04/4.30 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[689, 14501])).
% 4.04/4.30 tff(14503,plain,
% 4.04/4.30 (~r(z, s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[1293, 14502, 14498, 14492])).
% 4.04/4.30 tff(14504,plain,
% 4.04/4.30 (b(z, s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[113, 14503])).
% 4.04/4.30 tff(14505,plain,
% 4.04/4.30 (~r(z, s(z))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[5891, 14502, 14442, 14498, 14492])).
% 4.04/4.30 tff(14506,plain,
% 4.04/4.30 (b(z, s(z))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[267, 14505])).
% 4.04/4.30 tff(14507,plain,
% 4.04/4.30 ($false),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[6553, 14506, 14504, 77, 72])).
% 4.04/4.30 tff(14508,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.04/4.30 tff(14509,plain,
% 4.04/4.30 (~b(s(z), z)),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[14508, 77, 316])).
% 4.04/4.30 tff(14510,plain,
% 4.04/4.30 (r(s(z), z)),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[408, 14509])).
% 4.04/4.30 tff(14511,plain,
% 4.04/4.30 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[6302, 176, 565, 77])).
% 4.04/4.30 tff(14512,plain,
% 4.04/4.30 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[689, 14511])).
% 4.04/4.30 tff(14513,plain,
% 4.04/4.30 (~b(z, s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[5950, 176, 77, 429])).
% 4.04/4.30 tff(14514,plain,
% 4.04/4.30 (r(z, s(s(s(s(s(z))))))),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[113, 14513])).
% 4.04/4.30 tff(14515,plain,
% 4.04/4.30 ($false),
% 4.04/4.30 inference(unit_resolution,[status(thm)],[10323, 14514, 14512, 215, 80, 204])).
% 4.04/4.30 tff(14516,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(14517,plain,
% 4.14/4.30 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[14516, 215, 8560, 14466, 77, 14468, 14463])).
% 4.14/4.30 tff(14518,plain,
% 4.14/4.30 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[163, 14517])).
% 4.14/4.30 tff(14519,plain,
% 4.14/4.30 (~r(s(s(s(s(s(z))))), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[7433, 14518, 10829, 14510, 215])).
% 4.14/4.30 tff(14520,plain,
% 4.14/4.30 (b(s(s(s(s(s(z))))), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[427, 14519])).
% 4.14/4.30 tff(14521,plain,
% 4.14/4.30 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[7541, 216, 10829, 411, 136])).
% 4.14/4.30 tff(14522,plain,
% 4.14/4.30 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[113, 14521])).
% 4.14/4.30 tff(14523,plain,
% 4.14/4.30 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[7805, 216, 10829, 136])).
% 4.14/4.30 tff(14524,plain,
% 4.14/4.30 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[1313, 14523])).
% 4.14/4.30 tff(14525,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[419, 14524, 14522, 316, 79])).
% 4.14/4.30 tff(14526,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(14527,plain,
% 4.14/4.30 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[14526, 14520, 316, 14518, 14510])).
% 4.14/4.30 tff(14528,plain,
% 4.14/4.30 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[246, 14527])).
% 4.14/4.30 tff(14529,plain,
% 4.14/4.30 (~b(z, s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[5970, 14528, 316, 14520])).
% 4.14/4.30 tff(14530,plain,
% 4.14/4.30 (r(z, s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[113, 14529])).
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% 4.14/4.30 inference(unit_resolution,[status(thm)],[113, 14615])).
% 4.14/4.30 tff(14617,plain,
% 4.14/4.30 (~r(s(z), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[5260, 216, 14608, 215, 71])).
% 4.14/4.30 tff(14618,plain,
% 4.14/4.30 (~b(s(z), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[8012, 216, 10829, 14468, 81, 316])).
% 4.14/4.30 tff(14619,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[408, 14618, 14617])).
% 4.14/4.30 tff(14620,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(14621,plain,
% 4.14/4.30 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[14620, 14616, 316, 215, 71])).
% 4.14/4.30 tff(14622,plain,
% 4.14/4.30 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[246, 14621])).
% 4.14/4.30 tff(14623,plain,
% 4.14/4.30 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[5050, 14622, 14532, 14614])).
% 4.14/4.30 tff(14624,plain,
% 4.14/4.30 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[1313, 14623])).
% 4.14/4.30 tff(14625,plain,
% 4.14/4.30 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[3299, 14624, 14608, 14466, 115])).
% 4.14/4.30 tff(14626,plain,
% 4.14/4.30 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[542, 14625])).
% 4.14/4.30 tff(14627,plain,
% 4.14/4.30 (~b(s(z), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[4121, 14626, 14468, 316])).
% 4.14/4.30 tff(14628,plain,
% 4.14/4.30 (r(s(z), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[408, 14627])).
% 4.14/4.30 tff(14629,plain,
% 4.14/4.30 (~r(s(s(s(s(z)))), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[5930, 14628, 14442, 14608, 115])).
% 4.14/4.30 tff(14630,plain,
% 4.14/4.30 (b(s(s(s(s(z)))), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[314, 14629])).
% 4.14/4.30 tff(14631,plain,
% 4.14/4.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(14632,plain,
% 4.14/4.30 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(14633,plain,
% 4.14/4.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[14632])).
% 4.14/4.30 tff(14634,plain,
% 4.14/4.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(transitivity,[status(thm)],[14633, 14631])).
% 4.14/4.30 tff(14635,plain,
% 4.14/4.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 4.14/4.30 inference(quant_inst,[status(thm)],[])).
% 4.14/4.30 tff(14636,plain,
% 4.14/4.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[14635, 14634])).
% 4.14/4.30 tff(14637,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[14636, 125, 410, 3102, 544, 115, 5707])).
% 4.14/4.30 tff(14638,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(14639,plain,
% 4.14/4.30 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[14638, 5707, 14442, 14608, 115])).
% 4.14/4.30 tff(14640,plain,
% 4.14/4.30 (b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[938, 14639])).
% 4.14/4.30 tff(14641,plain,
% 4.14/4.30 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[9631, 3403, 215, 14466, 8560])).
% 4.14/4.30 tff(14642,plain,
% 4.14/4.30 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[5705, 14641])).
% 4.14/4.30 tff(14643,plain,
% 4.14/4.30 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[6583, 91, 14463, 14642, 923, 4925])).
% 4.14/4.30 tff(14644,plain,
% 4.14/4.30 (r(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[4476, 14643])).
% 4.14/4.30 tff(14645,plain,
% 4.14/4.30 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[7695, 91, 14532, 14642, 923, 316])).
% 4.14/4.30 tff(14646,plain,
% 4.14/4.30 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[3164, 14645])).
% 4.14/4.30 tff(14647,plain,
% 4.14/4.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(14648,plain,
% 4.14/4.30 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(14649,plain,
% 4.14/4.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.14/4.30 inference(monotonicity,[status(thm)],[14648])).
% 4.14/4.30 tff(14650,plain,
% 4.14/4.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.14/4.30 inference(transitivity,[status(thm)],[14649, 14647])).
% 4.14/4.30 tff(14651,plain,
% 4.14/4.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 4.14/4.30 inference(quant_inst,[status(thm)],[])).
% 4.14/4.30 tff(14652,plain,
% 4.14/4.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.14/4.30 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 4.14/4.30 tff(14653,plain,
% 4.14/4.30 ($false),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[14652, 125, 3403, 215, 8560, 14646, 14644])).
% 4.14/4.30 tff(14654,plain,((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.30 tff(14655,plain,
% 4.14/4.30 (~r(z, s(s(z)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[14654, 14640, 215, 4925, 316])).
% 4.14/4.30 tff(14656,plain,
% 4.14/4.30 (b(z, s(s(z)))),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[3400, 14655])).
% 4.14/4.30 tff(14657,plain,
% 4.14/4.30 (~b(s(s(z)), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[10246, 14656, 14640, 74])).
% 4.14/4.30 tff(14658,plain,
% 4.14/4.30 (r(s(s(z)), z)),
% 4.14/4.30 inference(unit_resolution,[status(thm)],[898, 14657])).
% 4.14/4.30 tff(14659,plain,
% 4.14/4.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.30 inference(rewrite,[status(thm)],[])).
% 4.14/4.30 tff(14660,plain,
% 4.14/4.30 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~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(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14661,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[14660])).
% 4.14/4.31 tff(14662,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[14661, 14659])).
% 4.14/4.31 tff(14663,plain,
% 4.14/4.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(14664,plain,
% 4.14/4.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[14663, 14662])).
% 4.14/4.31 tff(14665,plain,
% 4.14/4.31 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14664, 125, 8560, 115, 5707])).
% 4.14/4.31 tff(14666,plain,
% 4.14/4.31 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14665, 14658])).
% 4.14/4.31 tff(14667,plain,
% 4.14/4.31 (b(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[4476, 14666])).
% 4.14/4.31 tff(14668,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10272, 91, 14656, 14667, 14640, 74])).
% 4.14/4.31 tff(14669,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14670,plain,
% 4.14/4.31 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14669, 4925, 115, 215, 74, 316])).
% 4.14/4.31 tff(14671,plain,
% 4.14/4.31 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[5666, 14670])).
% 4.14/4.31 tff(14672,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14673,plain,
% 4.14/4.31 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14674,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[14673])).
% 4.14/4.31 tff(14675,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[14674, 14672])).
% 4.14/4.31 tff(14676,plain,
% 4.14/4.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(14677,plain,
% 4.14/4.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[14676, 14675])).
% 4.14/4.31 tff(14678,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14677, 91, 3382, 565, 429, 5653, 4925, 349])).
% 4.14/4.31 tff(14679,plain,((~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14680,plain,
% 4.14/4.31 (~b(z, s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14679, 14671, 14468, 14463, 4925, 349])).
% 4.14/4.31 tff(14681,plain,
% 4.14/4.31 (r(z, s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3400, 14680])).
% 4.14/4.31 tff(14682,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10394, 14681, 215, 14466, 8560])).
% 4.14/4.31 tff(14683,plain,
% 4.14/4.31 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14654, 14681, 215, 4925, 316])).
% 4.14/4.31 tff(14684,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[938, 14683, 14682])).
% 4.14/4.31 tff(14685,plain,((~b(s(z), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14686,plain,
% 4.14/4.31 (~b(s(z), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14685, 115, 316, 14614, 215, 14630])).
% 4.14/4.31 tff(14687,plain,
% 4.14/4.31 (r(s(z), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1004, 14686])).
% 4.14/4.31 tff(14688,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14689,plain,
% 4.14/4.31 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14690,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[14689])).
% 4.14/4.31 tff(14691,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[14690, 14688])).
% 4.14/4.31 tff(14692,plain,
% 4.14/4.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(14693,plain,
% 4.14/4.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 4.14/4.31 tff(14694,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14693, 125, 215, 411, 4499, 3103, 269])).
% 4.14/4.31 tff(14695,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14696,plain,
% 4.14/4.31 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14695, 14628, 215, 14687, 10829])).
% 4.14/4.31 tff(14697,plain,
% 4.14/4.31 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3164, 14696])).
% 4.14/4.31 tff(14698,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10394, 3403, 215, 204, 80])).
% 4.14/4.31 tff(14699,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[938, 14698])).
% 4.14/4.31 tff(14700,plain,
% 4.14/4.31 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[9631, 3403, 215, 204, 80])).
% 4.14/4.31 tff(14701,plain,
% 4.14/4.31 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[5705, 14700])).
% 4.14/4.31 tff(14702,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[8622, 215, 80, 204])).
% 4.14/4.31 tff(14703,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[336, 14702])).
% 4.14/4.31 tff(14704,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14705,plain,
% 4.14/4.31 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14706,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[14705])).
% 4.14/4.31 tff(14707,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[14706, 14704])).
% 4.14/4.31 tff(14708,plain,
% 4.14/4.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(14709,plain,
% 4.14/4.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[14708, 14707])).
% 4.14/4.31 tff(14710,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14709, 91, 3151, 14703, 14701, 14699])).
% 4.14/4.31 tff(14711,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14712,plain,
% 4.14/4.31 (~r(z, s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14711, 14697, 215, 14466, 8560])).
% 4.14/4.31 tff(14713,plain,
% 4.14/4.31 (b(z, s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[3400, 14712])).
% 4.14/4.31 tff(14714,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14715,plain,
% 4.14/4.31 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14716,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[14715])).
% 4.14/4.31 tff(14717,plain,
% 4.14/4.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[14716, 14714])).
% 4.14/4.31 tff(14718,plain,
% 4.14/4.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(14719,plain,
% 4.14/4.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[14718, 14717])).
% 4.14/4.31 tff(14720,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14719, 125, 410, 3102, 544, 4499, 115])).
% 4.14/4.31 tff(14721,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14722,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14721, 14687, 14442, 14608, 115])).
% 4.14/4.31 tff(14723,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[938, 14722])).
% 4.14/4.31 tff(14724,plain,
% 4.14/4.31 (~b(s(s(z)), z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[10246, 14723, 14713, 14630])).
% 4.14/4.31 tff(14725,plain,
% 4.14/4.31 (r(s(s(z)), z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[898, 14724])).
% 4.14/4.31 tff(14726,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[7651, 125, 215, 14628, 14725, 14687, 10829])).
% 4.14/4.31 tff(14727,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14728,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14727, 71, 316, 215])).
% 4.14/4.31 tff(14729,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[689, 14728])).
% 4.14/4.31 tff(14730,plain,
% 4.14/4.31 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[6663, 14729, 14463, 14614])).
% 4.14/4.31 tff(14731,plain,
% 4.14/4.31 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[163, 14730])).
% 4.14/4.31 tff(14732,plain,
% 4.14/4.31 (~r(s(z), z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[7433, 14731, 10829, 215, 71])).
% 4.14/4.31 tff(14733,plain,
% 4.14/4.31 (b(s(z), z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[408, 14732])).
% 4.14/4.31 tff(14734,plain,
% 4.14/4.31 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[4121, 14733, 14468, 316])).
% 4.14/4.31 tff(14735,plain,
% 4.14/4.31 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[542, 14734])).
% 4.14/4.31 tff(14736,plain,
% 4.14/4.31 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[244, 64, 13888, 240])).
% 4.14/4.31 tff(14737,plain,
% 4.14/4.31 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[11900, 125, 544, 545, 269])).
% 4.14/4.31 tff(14738,plain,
% 4.14/4.31 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[336, 14737])).
% 4.14/4.31 tff(14739,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[5048, 91, 348, 14738, 349, 14736])).
% 4.14/4.31 tff(14740,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14741,plain,
% 4.14/4.31 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14740, 14735, 10829, 14442, 14608, 14614])).
% 4.14/4.31 tff(14742,plain,
% 4.14/4.31 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[4882, 14735, 14608, 14731])).
% 4.14/4.31 tff(14743,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[1313, 14742, 14741])).
% 4.14/4.31 tff(14744,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14745,plain,
% 4.14/4.31 (~r(s(s(s(s(s(z))))), z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14744, 215, 316])).
% 4.14/4.31 tff(14746,plain,
% 4.14/4.31 (b(s(s(s(s(s(z))))), z)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[427, 14745])).
% 4.14/4.31 tff(14747,plain,
% 4.14/4.31 (~b(z, s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[5970, 14610, 316, 14746])).
% 4.14/4.31 tff(14748,plain,
% 4.14/4.31 (r(z, s(s(s(s(s(z))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[113, 14747])).
% 4.14/4.31 tff(14749,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[9276, 125, 14748, 14612, 215, 8560, 73])).
% 4.14/4.31 tff(14750,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(14751,plain,
% 4.14/4.31 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[14750, 669, 215, 316])).
% 4.14/4.31 tff(14752,plain,
% 4.14/4.31 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[369, 14751])).
% 4.14/4.31 tff(14753,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(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(X1, 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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14754,plain,
% 4.14/4.31 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.31 inference(rewrite,[status(thm)],[])).
% 4.14/4.31 tff(14755,plain,
% 4.14/4.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[14754])).
% 4.14/4.32 tff(14756,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[14755, 14753])).
% 4.14/4.32 tff(14757,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(14758,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[14757, 14756])).
% 4.14/4.32 tff(14759,plain,
% 4.14/4.32 ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14758, 91, 14463, 14746, 14532, 316])).
% 4.14/4.32 tff(14760,plain,
% 4.14/4.32 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14759, 14752])).
% 4.14/4.32 tff(14761,plain,
% 4.14/4.32 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[163, 14760])).
% 4.14/4.32 tff(14762,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14763,plain,
% 4.14/4.32 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14764,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[14763])).
% 4.14/4.32 tff(14765,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[14764, 14762])).
% 4.14/4.32 tff(14766,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(14767,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[14766, 14765])).
% 4.14/4.32 tff(14768,plain,
% 4.14/4.32 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14767, 91, 14463, 14746, 14468, 316, 14752])).
% 4.14/4.32 tff(14769,plain,
% 4.14/4.32 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1313, 14768])).
% 4.14/4.32 tff(14770,plain,
% 4.14/4.32 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6665, 14769, 14442, 14463, 14466, 14608, 669])).
% 4.14/4.32 tff(14771,plain,
% 4.14/4.32 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[542, 14770])).
% 4.14/4.32 tff(14772,plain,
% 4.14/4.32 (~b(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[4121, 14771, 14468, 316])).
% 4.14/4.32 tff(14773,plain,
% 4.14/4.32 (r(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[408, 14772])).
% 4.14/4.32 tff(14774,plain,
% 4.14/4.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14775,plain,
% 4.14/4.32 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z))) <=> ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14776,plain,
% 4.14/4.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[14775])).
% 4.14/4.32 tff(14777,plain,
% 4.14/4.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 4.14/4.32 inference(transitivity,[status(thm)],[14776, 14774])).
% 4.14/4.32 tff(14778,plain,
% 4.14/4.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(14779,plain,
% 4.14/4.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[14778, 14777])).
% 4.14/4.32 tff(14780,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14779, 125, 14769, 215, 14773, 14761, 10829])).
% 4.14/4.32 tff(14781,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(14782,plain,
% 4.14/4.32 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14781, 215, 316])).
% 4.14/4.32 tff(14783,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[689, 14782])).
% 4.14/4.32 tff(14784,plain,
% 4.14/4.32 (~r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[698, 14783, 14442, 14608])).
% 4.14/4.32 tff(14785,plain,
% 4.14/4.32 (b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[163, 14784])).
% 4.14/4.32 tff(14786,plain,
% 4.14/4.32 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14759, 14785])).
% 4.14/4.32 tff(14787,plain,
% 4.14/4.32 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[369, 14786])).
% 4.14/4.32 tff(14788,plain,
% 4.14/4.32 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[10323, 14783, 215, 8560, 14466])).
% 4.14/4.32 tff(14789,plain,
% 4.14/4.32 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[113, 14788])).
% 4.14/4.32 tff(14790,plain,
% 4.14/4.32 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5970, 14789, 316, 14746])).
% 4.14/4.32 tff(14791,plain,
% 4.14/4.32 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[246, 14790])).
% 4.14/4.32 tff(14792,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[7567, 14791, 14787, 10829, 14442, 14608])).
% 4.14/4.32 tff(14793,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(14794,plain,
% 4.14/4.32 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14793, 316])).
% 4.14/4.32 tff(14795,plain,
% 4.14/4.32 (b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1093, 14794])).
% 4.14/4.32 tff(14796,plain,
% 4.14/4.32 (~r(s(s(s(s(s(z))))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[9839, 73, 8560, 14442, 14608])).
% 4.14/4.32 tff(14797,plain,
% 4.14/4.32 (b(s(s(s(s(s(z))))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[427, 14796])).
% 4.14/4.32 tff(14798,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6212, 14610, 14797, 316, 14795])).
% 4.14/4.32 tff(14799,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(14800,plain,
% 4.14/4.32 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14799, 316])).
% 4.14/4.32 tff(14801,plain,
% 4.14/4.32 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[369, 14800])).
% 4.14/4.32 tff(14802,plain,
% 4.14/4.32 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6663, 669, 14463, 14801])).
% 4.14/4.32 tff(14803,plain,
% 4.14/4.32 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[163, 14802])).
% 4.14/4.32 tff(14804,plain,
% 4.14/4.32 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14740, 545, 269, 544, 410, 349])).
% 4.14/4.32 tff(14805,plain,
% 4.14/4.32 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[4882, 545, 410, 136])).
% 4.14/4.32 tff(14806,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1313, 14805, 14804])).
% 4.14/4.32 tff(14807,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(14808,plain,
% 4.14/4.32 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14807, 14803, 14608, 10829, 14442, 14801])).
% 4.14/4.32 tff(14809,plain,
% 4.14/4.32 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[542, 14808])).
% 4.14/4.32 tff(14810,plain,
% 4.14/4.32 (~b(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6938, 526, 316, 14795])).
% 4.14/4.32 tff(14811,plain,
% 4.14/4.32 (r(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[408, 14810])).
% 4.14/4.32 tff(14812,plain,
% 4.14/4.32 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5620, 14811, 71, 14803])).
% 4.14/4.32 tff(14813,plain,
% 4.14/4.32 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[113, 14812])).
% 4.14/4.32 tff(14814,plain,
% 4.14/4.32 (~r(z, s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[447, 14811, 14608, 71])).
% 4.14/4.32 tff(14815,plain,
% 4.14/4.32 (b(z, s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[267, 14814])).
% 4.14/4.32 tff(14816,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14817,plain,
% 4.14/4.32 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14818,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[14817])).
% 4.14/4.32 tff(14819,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[14818, 14816])).
% 4.14/4.32 tff(14820,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(14821,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[14820, 14819])).
% 4.14/4.32 tff(14822,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14821, 91, 14463, 14815, 14813, 669, 316, 526])).
% 4.14/4.32 tff(14823,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(14824,plain,
% 4.14/4.32 (~r(s(s(s(s(s(z))))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14823, 14809, 316, 669])).
% 4.14/4.32 tff(14825,plain,
% 4.14/4.32 (b(s(s(s(s(s(z))))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[427, 14824])).
% 4.14/4.32 tff(14826,plain,
% 4.14/4.32 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6212, 14825, 316, 14795])).
% 4.14/4.32 tff(14827,plain,
% 4.14/4.32 (~b(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6938, 14809, 316, 14795])).
% 4.14/4.32 tff(14828,plain,
% 4.14/4.32 (r(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[408, 14827])).
% 4.14/4.32 tff(14829,plain,
% 4.14/4.32 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14526, 14825, 316, 14828, 14803])).
% 4.14/4.32 tff(14830,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[246, 14829, 14826])).
% 4.14/4.32 tff(14831,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(14832,plain,
% 4.14/4.32 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14831, 316])).
% 4.14/4.32 tff(14833,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[689, 14832])).
% 4.14/4.32 tff(14834,plain,
% 4.14/4.32 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[7611, 14833, 10829, 14442, 14608])).
% 4.14/4.32 tff(14835,plain,
% 4.14/4.32 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[336, 14834])).
% 4.14/4.32 tff(14836,plain,
% 4.14/4.32 (~b(s(s(s(s(z)))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[9687, 14835, 14795, 316])).
% 4.14/4.32 tff(14837,plain,
% 4.14/4.32 (r(s(s(s(s(z)))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[314, 14836])).
% 4.14/4.32 tff(14838,plain,
% 4.14/4.32 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5909, 14837, 14442, 14608, 14833])).
% 4.14/4.32 tff(14839,plain,
% 4.14/4.32 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[113, 14838])).
% 4.14/4.32 tff(14840,plain,
% 4.14/4.32 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6950, 14839, 316, 14795, 14801, 14835])).
% 4.14/4.32 tff(14841,plain,
% 4.14/4.32 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[1313, 14840])).
% 4.14/4.32 tff(14842,plain,
% 4.14/4.32 (~r(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[5930, 14837, 14442, 14608, 14833])).
% 4.14/4.32 tff(14843,plain,
% 4.14/4.32 (b(s(z), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[408, 14842])).
% 4.14/4.32 tff(14844,plain,
% 4.14/4.32 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[6938, 14843, 316, 14795])).
% 4.14/4.32 tff(14845,plain,
% 4.14/4.32 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[542, 14844])).
% 4.14/4.32 tff(14846,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[3299, 14845, 14841, 14608, 14466, 14833])).
% 4.14/4.32 tff(14847,plain,(~b(s(s(s(s(s(s(z)))))), z)), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(14848,plain,
% 4.14/4.32 (r(s(s(s(s(s(s(z)))))), z)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[763, 14847])).
% 4.14/4.32 tff(14849,plain,
% 4.14/4.32 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[11437, 125, 14848, 114, 115])).
% 4.14/4.32 tff(14850,plain,
% 4.14/4.32 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14849, 315])).
% 4.14/4.32 tff(14851,plain,
% 4.14/4.32 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[336, 14850])).
% 4.14/4.32 tff(14852,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14853,plain,
% 4.14/4.32 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~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(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.14/4.32 inference(rewrite,[status(thm)],[])).
% 4.14/4.32 tff(14854,plain,
% 4.14/4.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[14853])).
% 4.14/4.32 tff(14855,plain,
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% 4.14/4.32 inference(transitivity,[status(thm)],[14854, 14852])).
% 4.14/4.32 tff(14856,plain,
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% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(14857,plain,
% 4.14/4.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[14856, 14855])).
% 4.14/4.32 tff(14858,plain,
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% 4.14/4.32 inference(unit_resolution,[status(thm)],[14857, 91, 79, 176, 178, 14851, 72, 247])).
% 4.14/4.33 tff(14859,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14860,plain,
% 4.14/4.33 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14859, 214, 176, 175, 72, 115, 79, 77, 203])).
% 4.14/4.33 tff(14861,plain,
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% 4.14/4.33 inference(unit_resolution,[status(thm)],[1093, 14860])).
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% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14863,plain,
% 4.14/4.33 (((~b(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(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(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14864,plain,
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% 4.14/4.33 inference(monotonicity,[status(thm)],[14863])).
% 4.14/4.33 tff(14865,plain,
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% 4.14/4.33 inference(transitivity,[status(thm)],[14864, 14862])).
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% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
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% 4.14/4.33 tff(14870,plain,
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% 4.14/4.33 tff(14871,plain,
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% 4.14/4.33 tff(14872,plain,
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% 4.14/4.33 tff(14873,plain,
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% 4.14/4.33 tff(14874,plain,
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% 4.14/4.33 tff(14875,plain,
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% 4.14/4.33 tff(14876,plain,
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% 4.14/4.33 tff(14877,plain,
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% 4.14/4.33 tff(14878,plain,
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% 4.14/4.33 tff(14879,plain,
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% 4.14/4.33 tff(14880,plain,
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% 4.14/4.33 tff(14881,plain,
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% 4.14/4.33 tff(14883,plain,
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% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[6832, 14914, 14912, 270, 215])).
% 4.14/4.33 tff(14916,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14917,plain,
% 4.14/4.33 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14916, 215, 270, 348, 72, 14910, 79, 565])).
% 4.14/4.33 tff(14918,plain,
% 4.14/4.33 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[201, 14917])).
% 4.14/4.33 tff(14919,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1166, 125, 544, 1020, 270, 115, 136])).
% 4.14/4.33 tff(14920,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14921,plain,
% 4.14/4.33 (~r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14920, 14918, 1020, 270, 115])).
% 4.14/4.33 tff(14922,plain,
% 4.14/4.33 (b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[163, 14921])).
% 4.14/4.33 tff(14923,plain,
% 4.14/4.33 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14543, 14922, 77, 565, 348])).
% 4.14/4.33 tff(14924,plain,
% 4.14/4.33 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[542, 14923])).
% 4.14/4.33 tff(14925,plain,
% 4.14/4.33 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[4419, 14922, 348, 77])).
% 4.14/4.33 tff(14926,plain,
% 4.14/4.33 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[295, 14925])).
% 4.14/4.33 tff(14927,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[6832, 14926, 14924, 270, 215])).
% 4.14/4.33 tff(14928,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14929,plain,
% 4.14/4.33 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14928, 348, 14904, 77, 565, 14906, 115, 72, 79])).
% 4.14/4.33 tff(14930,plain,
% 4.14/4.33 (b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1093, 14929])).
% 4.14/4.33 tff(14931,plain,
% 4.14/4.33 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14869, 14930, 317, 14908])).
% 4.14/4.33 tff(14932,plain,
% 4.14/4.33 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[69, 14931])).
% 4.14/4.33 tff(14933,plain,
% 4.14/4.33 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[5484, 14930, 79, 348])).
% 4.14/4.33 tff(14934,plain,
% 4.14/4.33 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[246, 14933])).
% 4.14/4.33 tff(14935,plain,
% 4.14/4.33 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[2943, 14934, 169, 115, 100, 14932, 14905, 14903])).
% 4.14/4.33 tff(14936,plain,
% 4.14/4.33 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[201, 14935])).
% 4.14/4.33 tff(14937,plain,
% 4.14/4.33 (~r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14920, 14936, 14906, 14904, 115])).
% 4.14/4.33 tff(14938,plain,
% 4.14/4.33 (b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[163, 14937])).
% 4.14/4.33 tff(14939,plain,
% 4.14/4.33 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14543, 14938, 77, 565, 348])).
% 4.14/4.33 tff(14940,plain,
% 4.14/4.33 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[542, 14939])).
% 4.14/4.33 tff(14941,plain,
% 4.14/4.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14942,plain,
% 4.14/4.33 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14943,plain,
% 4.14/4.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[14942])).
% 4.14/4.33 tff(14944,plain,
% 4.14/4.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.33 inference(transitivity,[status(thm)],[14943, 14941])).
% 4.14/4.33 tff(14945,plain,
% 4.14/4.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(14946,plain,
% 4.14/4.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 4.14/4.33 tff(14947,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14946, 125, 14848, 14932, 14906, 14904, 14940])).
% 4.14/4.33 tff(14948,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | r(z, s(s(s(s(z))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14949,plain,
% 4.14/4.33 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14948, 14902, 77, 115, 134, 79, 72])).
% 4.14/4.33 tff(14950,plain,
% 4.14/4.33 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1313, 14949])).
% 4.14/4.33 tff(14951,plain,
% 4.14/4.33 (~b(s(s(s(s(z)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[7852, 14902, 72, 175])).
% 4.14/4.33 tff(14952,plain,
% 4.14/4.33 (r(s(s(s(s(z)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[314, 14951])).
% 4.14/4.33 tff(14953,plain,
% 4.14/4.33 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14849, 14952])).
% 4.14/4.33 tff(14954,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[336, 14953])).
% 4.14/4.33 tff(14955,plain,
% 4.14/4.33 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[212, 14950, 73, 115])).
% 4.14/4.33 tff(14956,plain,
% 4.14/4.33 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[69, 14955])).
% 4.14/4.33 tff(14957,plain,
% 4.14/4.33 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14869, 14956, 175, 14954])).
% 4.14/4.33 tff(14958,plain,
% 4.14/4.33 (r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[1093, 14957])).
% 4.14/4.33 tff(14959,plain,
% 4.14/4.33 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[6362, 14956, 14902, 14954])).
% 4.14/4.33 tff(14960,plain,
% 4.14/4.33 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[295, 14959])).
% 4.14/4.33 tff(14961,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[278, 14960, 14958, 14888, 14950, 114])).
% 4.14/4.33 tff(14962,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14963,plain,
% 4.14/4.33 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14962, 79, 77, 73, 72])).
% 4.14/4.33 tff(14964,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[689, 14963])).
% 4.14/4.33 tff(14965,plain,
% 4.14/4.33 (~r(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[10498, 544, 114, 80, 73])).
% 4.14/4.33 tff(14966,plain,
% 4.14/4.33 (b(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[267, 14965])).
% 4.14/4.33 tff(14967,plain,
% 4.14/4.33 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[10848, 544, 79, 80, 72, 73])).
% 4.14/4.33 tff(14968,plain,
% 4.14/4.33 (b(s(z), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[563, 14967])).
% 4.14/4.33 tff(14969,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14970,plain,
% 4.14/4.33 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14971,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[14970])).
% 4.14/4.33 tff(14972,plain,
% 4.14/4.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)))),
% 4.14/4.33 inference(transitivity,[status(thm)],[14971, 14969])).
% 4.14/4.33 tff(14973,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(14974,plain,
% 4.14/4.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 4.14/4.33 tff(14975,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14974, 91, 77, 14968, 79, 14966, 72])).
% 4.14/4.33 tff(14976,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14977,plain,
% 4.14/4.33 (~r(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14976, 80, 79, 72, 77, 73])).
% 4.14/4.33 tff(14978,plain,
% 4.14/4.33 (b(s(s(s(s(z)))), s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[201, 14977])).
% 4.14/4.33 tff(14979,plain,
% 4.14/4.33 (~b(s(z), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[4395, 14978, 77, 14964])).
% 4.14/4.33 tff(14980,plain,
% 4.14/4.33 (r(s(z), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[563, 14979])).
% 4.14/4.33 tff(14981,plain,
% 4.14/4.33 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[10894, 14980, 79, 73, 80, 72])).
% 4.14/4.33 tff(14982,plain,
% 4.14/4.33 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[69, 14981])).
% 4.14/4.33 tff(14983,plain,
% 4.14/4.33 (~r(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[9131, 14978, 80, 114, 73, 77])).
% 4.14/4.33 tff(14984,plain,
% 4.14/4.33 (b(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[267, 14983])).
% 4.14/4.33 tff(14985,plain,
% 4.14/4.33 (~b(s(s(s(s(z)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[8578, 14984, 72, 14978])).
% 4.14/4.33 tff(14986,plain,
% 4.14/4.33 (r(s(s(s(s(z)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[314, 14985])).
% 4.14/4.33 tff(14987,plain,
% 4.14/4.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14988,plain,
% 4.14/4.33 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(14989,plain,
% 4.14/4.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[14988])).
% 4.14/4.33 tff(14990,plain,
% 4.14/4.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.33 inference(transitivity,[status(thm)],[14989, 14987])).
% 4.14/4.33 tff(14991,plain,
% 4.14/4.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(14992,plain,
% 4.14/4.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[14991, 14990])).
% 4.14/4.33 tff(14993,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14992, 125, 765, 204, 1020, 80])).
% 4.14/4.33 tff(14994,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14995,plain,
% 4.14/4.33 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14994, 14848])).
% 4.14/4.33 tff(14996,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14995, 14986, 14982, 80])).
% 4.14/4.33 tff(14997,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(14998,plain,
% 4.14/4.33 (~r(z, s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14997, 79, 72, 73, 77])).
% 4.14/4.33 tff(14999,plain,
% 4.14/4.33 (b(z, s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[174, 14998])).
% 4.14/4.33 tff(15000,plain,
% 4.14/4.33 (~b(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[253, 91, 77, 79, 14999, 72])).
% 4.14/4.33 tff(15001,plain,
% 4.14/4.33 (r(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[267, 15000])).
% 4.14/4.33 tff(15002,plain,
% 4.14/4.33 (~b(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[11448, 91, 77, 79, 1073, 72])).
% 4.14/4.33 tff(15003,plain,
% 4.14/4.33 (r(z, s(z))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[267, 15002])).
% 4.14/4.33 tff(15004,plain,
% 4.14/4.33 (~r(z, s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[9131, 177, 15003, 114, 73, 77])).
% 4.14/4.33 tff(15005,plain,
% 4.14/4.33 (b(z, s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[174, 15004])).
% 4.14/4.33 tff(15006,plain,
% 4.14/4.33 (~b(s(s(s(s(z)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[403, 15005, 72, 177])).
% 4.14/4.33 tff(15007,plain,
% 4.14/4.33 (r(s(s(s(s(z)))), z)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[314, 15006])).
% 4.14/4.33 tff(15008,plain,
% 4.14/4.33 (~b(s(z), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[4395, 177, 77, 14964])).
% 4.14/4.33 tff(15009,plain,
% 4.14/4.33 (r(s(z), s(s(s(s(z)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[563, 15008])).
% 4.14/4.33 tff(15010,plain,
% 4.14/4.33 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[4355, 177, 77, 14964])).
% 4.14/4.34 tff(15011,plain,
% 4.14/4.34 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[163, 15010])).
% 4.14/4.34 tff(15012,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15013,plain,
% 4.14/4.34 (((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15014,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[15013])).
% 4.14/4.34 tff(15015,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.34 inference(transitivity,[status(thm)],[15014, 15012])).
% 4.14/4.34 tff(15016,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(15017,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 4.14/4.34 tff(15018,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15017, 91, 1073, 72, 526, 297])).
% 4.14/4.34 tff(15019,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(15020,plain,
% 4.14/4.34 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15019, 297, 72, 1073])).
% 4.14/4.34 tff(15021,plain,
% 4.14/4.34 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[542, 15020])).
% 4.14/4.34 tff(15022,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15023,plain,
% 4.14/4.34 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15024,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[15023])).
% 4.14/4.34 tff(15025,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[15024, 15022])).
% 4.14/4.34 tff(15026,plain,
% 4.14/4.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(15027,plain,
% 4.14/4.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[15026, 15025])).
% 4.14/4.34 tff(15028,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15027, 125, 14848, 203, 270, 545, 136])).
% 4.14/4.34 tff(15029,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(15030,plain,
% 4.14/4.34 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15029, 15021, 15003, 15011])).
% 4.14/4.34 tff(15031,plain,
% 4.14/4.34 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1313, 15030])).
% 4.14/4.34 tff(15032,plain,
% 4.14/4.34 ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[5241, 14848])).
% 4.14/4.34 tff(15033,plain,
% 4.14/4.34 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15032, 15021, 15009, 15003])).
% 4.14/4.34 tff(15034,plain,
% 4.14/4.34 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[69, 15033])).
% 4.14/4.34 tff(15035,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15036,plain,
% 4.14/4.34 (((~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15037,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[15036])).
% 4.14/4.34 tff(15038,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[15037, 15035])).
% 4.14/4.34 tff(15039,plain,
% 4.14/4.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(15040,plain,
% 4.14/4.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 4.14/4.34 tff(15041,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15040, 125, 3403, 765, 3102, 1020, 347])).
% 4.14/4.34 tff(15042,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(15043,plain,
% 4.14/4.34 ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15042, 14848])).
% 4.14/4.34 tff(15044,plain,
% 4.14/4.34 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15043, 3403, 1020, 347])).
% 4.14/4.34 tff(15045,plain,
% 4.14/4.34 (b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[938, 15044])).
% 4.14/4.34 tff(15046,plain,
% 4.14/4.34 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4623, 91, 77, 924, 79, 178, 177])).
% 4.14/4.34 tff(15047,plain,
% 4.14/4.34 (r(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[5666, 15046])).
% 4.14/4.34 tff(15048,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15049,plain,
% 4.14/4.34 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(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(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15050,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[15049])).
% 4.14/4.34 tff(15051,plain,
% 4.14/4.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[15050, 15048])).
% 4.14/4.34 tff(15052,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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))))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(15053,plain,
% 4.14/4.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 4.14/4.34 tff(15054,plain,
% 4.14/4.34 (~b(s(z), s(s(z)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15053, 91, 924, 1073, 923, 177, 297])).
% 4.14/4.34 tff(15055,plain,
% 4.14/4.34 (r(s(z), s(s(z)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[1004, 15054])).
% 4.14/4.34 tff(15056,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15057,plain,
% 4.14/4.34 (((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z))))) <=> ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15058,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[15057])).
% 4.14/4.34 tff(15059,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[15058, 15056])).
% 4.14/4.34 tff(15060,plain,
% 4.14/4.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(15061,plain,
% 4.14/4.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 4.14/4.34 tff(15062,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15061, 125, 135, 15055, 73, 136, 15047])).
% 4.14/4.34 tff(15063,plain,((~b(s(s(z)), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(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(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(15064,plain,
% 4.14/4.34 (~b(s(s(z)), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15063, 15045, 73, 136, 1073, 135, 177, 297, 77, 79, 178])).
% 4.14/4.34 tff(15065,plain,
% 4.14/4.34 (r(s(s(z)), z)),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[898, 15064])).
% 4.14/4.34 tff(15066,plain,
% 4.14/4.34 ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[11345, 14848])).
% 4.14/4.34 tff(15067,plain,
% 4.14/4.34 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[15066, 15065, 3403])).
% 4.14/4.34 tff(15068,plain,
% 4.14/4.34 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[3164, 15067])).
% 4.14/4.34 tff(15069,plain,
% 4.14/4.34 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[8826, 15068, 76, 15045])).
% 4.14/4.34 tff(15070,plain,
% 4.14/4.34 (r(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[4476, 15069])).
% 4.14/4.34 tff(15071,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15072,plain,
% 4.14/4.34 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(15073,plain,
% 4.14/4.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[15072])).
% 4.14/4.35 tff(15074,plain,
% 4.14/4.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[15073, 15071])).
% 4.14/4.35 tff(15075,plain,
% 4.14/4.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(15076,plain,
% 4.14/4.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[15075, 15074])).
% 4.14/4.35 tff(15077,plain,
% 4.14/4.35 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15076, 125, 14848, 15065, 347, 15070])).
% 4.14/4.35 tff(15078,plain,
% 4.14/4.35 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[5705, 15077])).
% 4.14/4.35 tff(15079,plain,
% 4.14/4.35 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4936, 125, 75, 15065, 73, 15070])).
% 4.14/4.35 tff(15080,plain,
% 4.14/4.35 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[5666, 15079])).
% 4.14/4.35 tff(15081,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15082,plain,
% 4.14/4.35 (((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15083,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[15082])).
% 4.14/4.35 tff(15084,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[15083, 15081])).
% 4.14/4.35 tff(15085,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(15086,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[15085, 15084])).
% 4.14/4.35 tff(15087,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15086, 91, 76, 79, 178, 15080, 348, 15078])).
% 4.14/4.35 tff(15088,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(15089,plain,
% 4.14/4.35 (~r(z, s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15088, 15034, 79, 15005, 15031, 347, 114, 73, 15011, 1073, 15009, 177, 297, 77, 15007])).
% 4.14/4.35 tff(15090,plain,
% 4.14/4.35 (b(z, s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3400, 15089])).
% 4.14/4.35 tff(15091,plain,
% 4.14/4.35 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4355, 177, 77, 669])).
% 4.14/4.35 tff(15092,plain,
% 4.14/4.35 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[163, 15091])).
% 4.14/4.35 tff(15093,plain,
% 4.14/4.35 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15029, 545, 270, 15092])).
% 4.14/4.35 tff(15094,plain,
% 4.14/4.35 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1313, 15093])).
% 4.14/4.35 tff(15095,plain,
% 4.14/4.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15096,plain,
% 4.14/4.35 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15097,plain,
% 4.14/4.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[15096])).
% 4.14/4.35 tff(15098,plain,
% 4.14/4.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[15097, 15095])).
% 4.14/4.35 tff(15099,plain,
% 4.14/4.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(15100,plain,
% 4.14/4.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z)))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[15099, 15098])).
% 4.14/4.35 tff(15101,plain,
% 4.14/4.35 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15100, 125, 14848, 836, 270, 545])).
% 4.14/4.35 tff(15102,plain,
% 4.14/4.35 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[3164, 15101])).
% 4.14/4.35 tff(15103,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15104,plain,
% 4.14/4.35 (((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15105,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[15104])).
% 4.14/4.35 tff(15106,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[15105, 15103])).
% 4.14/4.35 tff(15107,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(15108,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 4.14/4.35 tff(15109,plain,
% 4.14/4.35 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15108, 91, 3382, 3151, 79, 5653, 348])).
% 4.14/4.35 tff(15110,plain,
% 4.14/4.35 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[5705, 15109])).
% 4.14/4.35 tff(15111,plain,
% 4.14/4.35 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4534, 91, 3382, 77, 178, 5653, 177])).
% 4.14/4.35 tff(15112,plain,
% 4.14/4.35 (r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[938, 15111])).
% 4.14/4.35 tff(15113,plain,
% 4.14/4.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15114,plain,
% 4.14/4.35 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), 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)))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15115,plain,
% 4.14/4.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), 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)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[15114])).
% 4.14/4.35 tff(15116,plain,
% 4.14/4.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), 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)))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[15115, 15113])).
% 4.14/4.35 tff(15117,plain,
% 4.14/4.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), 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)))), s(s(z)))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(15118,plain,
% 4.14/4.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[15117, 15116])).
% 4.14/4.35 tff(15119,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15118, 125, 14848, 15112, 1020, 347, 15110])).
% 4.14/4.35 tff(15120,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(15121,plain,
% 4.14/4.35 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15120, 15102, 347, 3382, 77, 178, 177, 1020, 79, 15094])).
% 4.14/4.35 tff(15122,plain,
% 4.14/4.35 (r(s(s(z)), s(s(s(s(s(z))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[5666, 15121])).
% 4.14/4.35 tff(15123,plain,
% 4.14/4.35 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4483, 125, 1020, 836, 73])).
% 4.14/4.35 tff(15124,plain,
% 4.14/4.35 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15123, 15122])).
% 4.14/4.35 tff(15125,plain,
% 4.14/4.35 (b(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4476, 15124])).
% 4.14/4.35 tff(15126,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15127,plain,
% 4.14/4.35 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))))),
% 4.14/4.35 inference(rewrite,[status(thm)],[])).
% 4.14/4.35 tff(15128,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z)))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z))))))),
% 4.14/4.35 inference(monotonicity,[status(thm)],[15127])).
% 4.14/4.35 tff(15129,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z)))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(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(z)))))),
% 4.14/4.35 inference(transitivity,[status(thm)],[15128, 15126])).
% 4.14/4.35 tff(15130,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.14/4.35 inference(quant_inst,[status(thm)],[])).
% 4.14/4.35 tff(15131,plain,
% 4.14/4.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.14/4.35 inference(modus_ponens,[status(thm)],[15130, 15129])).
% 4.14/4.35 tff(15132,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15131, 91, 3382, 15125, 15102, 15094, 1073, 669])).
% 4.14/4.35 tff(15133,plain,((~r(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(15134,plain,
% 4.14/4.35 (~r(s(s(z)), z)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15133, 15090, 1073, 14964, 15007, 73, 347, 77, 15005, 177, 79, 15003, 15021])).
% 4.14/4.35 tff(15135,plain,
% 4.14/4.35 (b(s(s(z)), z)),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[898, 15134])).
% 4.14/4.35 tff(15136,plain,
% 4.14/4.35 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4634, 15135, 15005, 15090])).
% 4.14/4.35 tff(15137,plain,
% 4.14/4.35 (r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[938, 15136])).
% 4.14/4.35 tff(15138,plain,
% 4.14/4.35 ($false),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[5084, 91, 3382, 924, 4925, 72])).
% 4.14/4.35 tff(15139,plain,((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.35 tff(15140,plain,
% 4.14/4.35 (~b(s(z), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[15139, 15135, 72, 15090])).
% 4.14/4.35 tff(15141,plain,
% 4.14/4.35 (r(s(z), s(s(z)))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[1004, 15140])).
% 4.14/4.35 tff(15142,plain,
% 4.14/4.35 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4555, 15141, 15009, 15137])).
% 4.14/4.35 tff(15143,plain,
% 4.14/4.35 (b(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.35 inference(unit_resolution,[status(thm)],[4476, 15142])).
% 4.14/4.35 tff(15144,plain,
% 4.14/4.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(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(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(15145,plain,
% 4.14/4.36 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(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(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(15146,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[15145])).
% 4.14/4.36 tff(15147,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(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(X1, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 4.14/4.36 inference(transitivity,[status(thm)],[15146, 15144])).
% 4.14/4.36 tff(15148,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(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)))))),
% 4.14/4.36 inference(quant_inst,[status(thm)],[])).
% 4.14/4.36 tff(15149,plain,
% 4.14/4.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 4.14/4.36 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 4.14/4.36 tff(15150,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15149, 91, 15090, 15135, 15143, 79, 15005, 14964])).
% 4.14/4.36 tff(15151,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(15152,plain,
% 4.14/4.36 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15151, 177, 72, 1073, 73, 347, 77, 79])).
% 4.14/4.36 tff(15153,plain,
% 4.14/4.36 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[295, 15152])).
% 4.14/4.36 tff(15154,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[11132, 125, 15009, 347, 73, 15011, 15153])).
% 4.14/4.36 tff(15155,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(15156,plain,
% 4.14/4.36 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15155, 1073, 73, 72, 347, 77, 79])).
% 4.14/4.36 tff(15157,plain,
% 4.14/4.36 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[201, 15156])).
% 4.14/4.36 tff(15158,plain,
% 4.14/4.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(15159,plain,
% 4.14/4.36 (((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(15160,plain,
% 4.14/4.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))))),
% 4.14/4.36 inference(monotonicity,[status(thm)],[15159])).
% 4.14/4.36 tff(15161,plain,
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% 4.14/4.36 tff(15183,plain,
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% 4.14/4.36 tff(15190,plain,
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% 4.14/4.36 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
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% 4.14/4.36 inference(monotonicity,[status(thm)],[15193])).
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% 4.14/4.36 inference(modus_ponens,[status(thm)],[15196, 15195])).
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% 4.14/4.36 tff(15200,plain,
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% 4.14/4.36 (((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
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% 4.14/4.36 inference(monotonicity,[status(thm)],[15203])).
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% 4.14/4.36 inference(transitivity,[status(thm)],[15204, 15202])).
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% 4.14/4.36 inference(quant_inst,[status(thm)],[])).
% 4.14/4.36 tff(15207,plain,
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% 4.14/4.36 inference(modus_ponens,[status(thm)],[15206, 15205])).
% 4.14/4.36 tff(15208,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15207, 125, 75, 215, 270, 216, 136])).
% 4.14/4.36 tff(15209,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(15210,plain,
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% 4.14/4.36 inference(unit_resolution,[status(thm)],[15209, 215, 114, 15001, 15201])).
% 4.14/4.36 tff(15211,plain,
% 4.14/4.36 (b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[163, 15210])).
% 4.14/4.36 tff(15212,plain,
% 4.14/4.36 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[4419, 15211, 15191, 77])).
% 4.14/4.36 tff(15213,plain,
% 4.14/4.36 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[295, 15212])).
% 4.14/4.36 tff(15214,plain,
% 4.14/4.36 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[8527, 15211, 72, 77, 15191])).
% 4.14/4.36 tff(15215,plain,
% 4.14/4.36 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[542, 15214])).
% 4.14/4.36 tff(15216,plain,
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% 4.14/4.36 inference(unit_resolution,[status(thm)],[6832, 15215, 15213, 215, 15001])).
% 4.14/4.36 tff(15217,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(15218,plain,
% 4.14/4.36 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15217, 79, 77, 72, 73])).
% 4.14/4.36 tff(15219,plain,
% 4.14/4.36 (b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1093, 15218])).
% 4.14/4.36 tff(15220,plain,
% 4.14/4.36 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[14869, 15219, 15180, 14999])).
% 4.14/4.36 tff(15221,plain,
% 4.14/4.36 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[69, 15220])).
% 4.14/4.36 tff(15222,plain,
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% 4.14/4.36 inference(unit_resolution,[status(thm)],[11448, 91, 77, 79, 15219, 72])).
% 4.14/4.36 tff(15223,plain,
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% 4.14/4.36 inference(unit_resolution,[status(thm)],[267, 15222])).
% 4.14/4.36 tff(15224,plain,
% 4.14/4.36 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15183, 15221, 73, 114])).
% 4.14/4.36 tff(15225,plain,
% 4.14/4.36 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1313, 15224])).
% 4.14/4.36 tff(15226,plain,
% 4.14/4.36 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15199, 348, 77, 669, 318])).
% 4.14/4.36 tff(15227,plain,
% 4.14/4.36 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[246, 15226])).
% 4.14/4.36 tff(15228,plain,
% 4.14/4.36 (~b(s(z), s(s(s(s(z)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[7852, 74, 72, 178])).
% 4.14/4.36 tff(15229,plain,
% 4.14/4.36 (r(s(z), s(s(s(s(z)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[563, 15228])).
% 4.14/4.36 tff(15230,plain,
% 4.14/4.36 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[403, 74, 72, 178])).
% 4.14/4.36 tff(15231,plain,
% 4.14/4.36 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[201, 15230])).
% 4.14/4.36 tff(15232,plain,
% 4.14/4.36 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[10922, 74, 72, 669, 348, 77])).
% 4.14/4.36 tff(15233,plain,
% 4.14/4.36 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[69, 15232])).
% 4.14/4.36 tff(15234,plain,
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% 4.14/4.36 inference(unit_resolution,[status(thm)],[553, 15233, 15231, 15229])).
% 4.14/4.36 tff(15235,plain,
% 4.14/4.36 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[542, 15234])).
% 4.14/4.36 tff(15236,plain,
% 4.14/4.36 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[8527, 15235, 72, 77, 348])).
% 4.14/4.36 tff(15237,plain,
% 4.14/4.36 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[163, 15236])).
% 4.14/4.36 tff(15238,plain,
% 4.14/4.36 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[1341, 125, 15233, 15229, 216, 15237])).
% 4.14/4.36 tff(15239,plain,
% 4.14/4.36 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[295, 15238])).
% 4.14/4.36 tff(15240,plain,
% 4.14/4.36 ($false),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[9909, 91, 77, 348, 15235, 15239])).
% 4.14/4.36 tff(15241,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.36 tff(15242,plain,
% 4.14/4.36 (~b(s(s(s(s(z)))), z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[15241, 15227, 77, 348, 72, 669, 178])).
% 4.14/4.36 tff(15243,plain,
% 4.14/4.36 (r(s(s(s(s(z)))), z)),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[314, 15242])).
% 4.14/4.36 tff(15244,plain,
% 4.14/4.36 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[4395, 565, 77, 669])).
% 4.14/4.36 tff(15245,plain,
% 4.14/4.36 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.36 inference(unit_resolution,[status(thm)],[201, 15244])).
% 4.14/4.36 tff(15246,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(15247,plain,
% 4.14/4.36 (((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))),
% 4.14/4.36 inference(rewrite,[status(thm)],[])).
% 4.14/4.36 tff(15248,plain,
% 4.14/4.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[15247])).
% 4.14/4.37 tff(15249,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)))),
% 4.14/4.37 inference(transitivity,[status(thm)],[15248, 15246])).
% 4.14/4.37 tff(15250,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(15251,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[15250, 15249])).
% 4.14/4.37 tff(15252,plain,
% 4.14/4.37 ($false),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[15251, 91, 565, 178, 1073, 5148, 923, 72])).
% 4.14/4.37 tff(15253,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.37 tff(15254,plain,
% 4.14/4.37 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[15253, 923, 178, 1073, 565, 72])).
% 4.14/4.37 tff(15255,plain,
% 4.14/4.37 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[5705, 15254])).
% 4.14/4.37 tff(15256,plain,
% 4.14/4.37 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[14869, 1073, 318, 178])).
% 4.14/4.37 tff(15257,plain,
% 4.14/4.37 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[69, 15256])).
% 4.14/4.37 tff(15258,plain,
% 4.14/4.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(15259,plain,
% 4.14/4.37 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(15260,plain,
% 4.14/4.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[15259])).
% 4.14/4.37 tff(15261,plain,
% 4.14/4.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.37 inference(transitivity,[status(thm)],[15260, 15258])).
% 4.14/4.37 tff(15262,plain,
% 4.14/4.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(15263,plain,
% 4.14/4.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[15262, 15261])).
% 4.14/4.37 tff(15264,plain,
% 4.14/4.37 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[15263, 125, 15257, 15255, 216, 73])).
% 4.14/4.37 tff(15265,plain,
% 4.14/4.37 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[5101, 15264])).
% 4.14/4.37 tff(15266,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(15267,plain,
% 4.14/4.37 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(15268,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[15267])).
% 4.14/4.37 tff(15269,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 4.14/4.37 inference(transitivity,[status(thm)],[15268, 15266])).
% 4.14/4.37 tff(15270,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(15271,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[15270, 15269])).
% 4.14/4.37 tff(15272,plain,
% 4.14/4.37 ($false),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[15271, 91, 178, 348, 1073, 318, 923, 15265])).
% 4.14/4.37 tff(15273,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.37 tff(15274,plain,
% 4.14/4.37 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[15273, 565, 348, 1073, 318, 15227, 73, 178, 72])).
% 4.14/4.37 tff(15275,plain,
% 4.14/4.37 (r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[938, 15274])).
% 4.14/4.37 tff(15276,plain,
% 4.14/4.37 (~r(s(s(z)), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[8180, 15275, 270, 15245, 15243])).
% 4.14/4.37 tff(15277,plain,
% 4.14/4.37 (b(s(s(z)), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[898, 15276])).
% 4.14/4.37 tff(15278,plain,
% 4.14/4.37 (~r(s(z), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[8170, 15275, 270, 15245, 15243])).
% 4.14/4.37 tff(15279,plain,
% 4.14/4.37 (b(s(z), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1004, 15278])).
% 4.14/4.37 tff(15280,plain,
% 4.14/4.37 (~r(s(z), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[8170, 3102, 270, 544, 1020])).
% 4.14/4.37 tff(15281,plain,
% 4.14/4.37 (b(s(z), s(s(z)))),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[1004, 15280])).
% 4.14/4.37 tff(15282,plain,
% 4.14/4.37 ($false),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[5030, 125, 3403, 3102, 1020, 836])).
% 4.14/4.37 tff(15283,plain,((~r(s(s(z)), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.37 tff(15284,plain,
% 4.14/4.37 (~r(s(s(z)), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[15283, 3102, 1020, 3403])).
% 4.14/4.37 tff(15285,plain,
% 4.14/4.37 (b(s(s(z)), z)),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[898, 15284])).
% 4.14/4.37 tff(15286,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(15287,plain,
% 4.14/4.37 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(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(s(z)), z)) | (~b(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(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.14/4.37 inference(rewrite,[status(thm)],[])).
% 4.14/4.37 tff(15288,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))))),
% 4.14/4.37 inference(monotonicity,[status(thm)],[15287])).
% 4.14/4.37 tff(15289,plain,
% 4.14/4.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.14/4.37 inference(transitivity,[status(thm)],[15288, 15286])).
% 4.14/4.37 tff(15290,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(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)))))),
% 4.14/4.37 inference(quant_inst,[status(thm)],[])).
% 4.14/4.37 tff(15291,plain,
% 4.14/4.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 4.14/4.37 inference(modus_ponens,[status(thm)],[15290, 15289])).
% 4.14/4.37 tff(15292,plain,
% 4.14/4.37 ($false),
% 4.14/4.37 inference(unit_resolution,[status(thm)],[15291, 91, 924, 178, 318, 5148, 4925, 72])).
% 4.14/4.37 tff(15293,plain,((~b(s(s(z)), s(s(s(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(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.37 tff(15294,plain,
% 4.14/4.37 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
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% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(15363,plain,
% 4.14/4.38 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(15364,plain,
% 4.14/4.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[15363])).
% 4.14/4.38 tff(15365,plain,
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% 4.14/4.38 inference(transitivity,[status(thm)],[15364, 15362])).
% 4.14/4.38 tff(15366,plain,
% 4.14/4.38 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.38 inference(quant_inst,[status(thm)],[])).
% 4.14/4.38 tff(15367,plain,
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% 4.14/4.38 inference(modus_ponens,[status(thm)],[15366, 15365])).
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[15367, 125, 765, 204, 15361, 80, 545])).
% 4.14/4.38 tff(15369,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.38 tff(15370,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[15369, 14848])).
% 4.14/4.38 tff(15371,plain,
% 4.14/4.38 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15370, 135, 80, 204, 74])).
% 4.14/4.38 tff(15372,plain,
% 4.14/4.38 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[542, 15371])).
% 4.14/4.38 tff(15373,plain,
% 4.14/4.38 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[6914, 135, 204, 347])).
% 4.14/4.38 tff(15374,plain,
% 4.14/4.38 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[295, 15373])).
% 4.14/4.38 tff(15375,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[4012, 15374, 15372, 298, 77])).
% 4.14/4.38 tff(15376,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.38 tff(15377,plain,
% 4.14/4.38 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15376, 347, 77, 204, 298, 80, 74])).
% 4.14/4.38 tff(15378,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[563, 15377])).
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% 4.14/4.38 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[4395, 15378, 77, 15355])).
% 4.14/4.38 tff(15380,plain,
% 4.14/4.38 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[201, 15379])).
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[7966, 15378, 77, 298, 348, 15355])).
% 4.14/4.38 tff(15382,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[542, 15381])).
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% 4.14/4.38 tff(15384,plain,
% 4.14/4.38 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
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% 4.14/4.38 inference(monotonicity,[status(thm)],[15384])).
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% 4.14/4.38 inference(transitivity,[status(thm)],[15385, 15383])).
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% 4.14/4.38 tff(15389,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[15388, 125, 765, 204, 544, 80, 545])).
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% 4.14/4.38 tff(15391,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[15390, 14848])).
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[15391, 15382, 15380, 80, 204])).
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% 4.14/4.38 tff(15394,plain,
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% 4.14/4.38 tff(15396,plain,
% 4.14/4.38 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 4.14/4.38 tff(15397,plain,
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% 4.14/4.38 tff(15398,plain,
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% 4.14/4.38 tff(15399,plain,
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% 4.14/4.38 tff(15400,plain,
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% 4.14/4.38 tff(15403,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[9825, 15401, 80, 15403, 204])).
% 4.14/4.38 tff(15405,plain,
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% 4.14/4.38 (r(s(s(s(s(s(s(z)))))), s(z))),
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% 4.14/4.38 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[295, 15408])).
% 4.14/4.38 tff(15410,plain,
% 4.14/4.38 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15370, 15407, 80, 204, 15353])).
% 4.14/4.38 tff(15411,plain,
% 4.14/4.38 (b(s(z), s(s(s(s(z)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[563, 15410])).
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[8952, 91, 77, 15411, 15351, 15395, 15405, 15409])).
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% 4.14/4.38 tff(15414,plain,
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% 4.14/4.38 inference(unit_resolution,[status(thm)],[15413, 12212, 77, 15340, 72, 73])).
% 4.14/4.38 tff(15415,plain,
% 4.14/4.38 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[246, 15414])).
% 4.14/4.38 tff(15416,plain,
% 4.14/4.38 ($false),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[11845, 125, 14848, 15325, 12212, 15415, 73])).
% 4.14/4.38 tff(15417,plain,(b(z, s(s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.38 tff(15418,plain,
% 4.14/4.38 (b(z, s(s(s(s(z)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15417, 77, 73, 72])).
% 4.14/4.38 tff(15419,plain,
% 4.14/4.38 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[6849, 91, 77, 76, 15418, 72])).
% 4.14/4.38 tff(15420,plain,
% 4.14/4.38 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15419, 298])).
% 4.14/4.38 tff(15421,plain,
% 4.14/4.38 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[542, 15420])).
% 4.14/4.38 tff(15422,plain,
% 4.14/4.38 ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[4030, 14848])).
% 4.14/4.38 tff(15423,plain,
% 4.14/4.38 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15422, 203, 71])).
% 4.14/4.38 tff(15424,plain,
% 4.14/4.38 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[113, 15423])).
% 4.14/4.38 tff(15425,plain,
% 4.14/4.38 ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(z)))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[11661, 14848])).
% 4.14/4.38 tff(15426,plain,
% 4.14/4.38 (~r(z, s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15425, 203, 71, 545])).
% 4.14/4.38 tff(15427,plain,
% 4.14/4.38 (b(z, s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[267, 15426])).
% 4.14/4.38 tff(15428,plain,
% 4.14/4.38 ($false),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[6553, 15427, 15424, 72, 77])).
% 4.14/4.38 tff(15429,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.38 tff(15430,plain,
% 4.14/4.38 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15429, 15421, 77, 15325, 72])).
% 4.14/4.38 tff(15431,plain,
% 4.14/4.38 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1313, 15430])).
% 4.14/4.38 tff(15432,plain,
% 4.14/4.38 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[10817, 15431, 76, 298])).
% 4.14/4.38 tff(15433,plain,
% 4.14/4.38 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[689, 15432])).
% 4.14/4.38 tff(15434,plain,
% 4.14/4.38 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[6849, 91, 77, 76, 178, 72])).
% 4.14/4.38 tff(15435,plain,
% 4.14/4.38 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15434, 298])).
% 4.14/4.38 tff(15436,plain,
% 4.14/4.38 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[542, 15435])).
% 4.14/4.38 tff(15437,plain,
% 4.14/4.38 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15429, 15436, 77, 71, 72])).
% 4.14/4.38 tff(15438,plain,
% 4.14/4.38 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1313, 15437])).
% 4.14/4.38 tff(15439,plain,
% 4.14/4.38 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[10817, 15438, 76, 298])).
% 4.14/4.38 tff(15440,plain,
% 4.14/4.38 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[689, 15439])).
% 4.14/4.38 tff(15441,plain,
% 4.14/4.38 (~b(z, s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[6553, 429, 72, 77])).
% 4.14/4.38 tff(15442,plain,
% 4.14/4.38 (r(z, s(s(s(s(s(z))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[113, 15441])).
% 4.14/4.38 tff(15443,plain,
% 4.14/4.38 (~r(s(s(s(s(z)))), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1293, 15442, 71, 15440])).
% 4.14/4.38 tff(15444,plain,
% 4.14/4.38 (b(s(s(s(s(z)))), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[314, 15443])).
% 4.14/4.38 tff(15445,plain,
% 4.14/4.38 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[1182, 429, 72, 178])).
% 4.14/4.38 tff(15446,plain,
% 4.14/4.38 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[201, 15445])).
% 4.14/4.38 tff(15447,plain,
% 4.14/4.38 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[306, 15444, 76, 72, 77, 298])).
% 4.14/4.38 tff(15448,plain,
% 4.14/4.38 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[295, 15447])).
% 4.14/4.38 tff(15449,plain,
% 4.14/4.38 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[7597, 15448, 15436, 15446])).
% 4.14/4.38 tff(15450,plain,
% 4.14/4.38 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[336, 15449])).
% 4.14/4.38 tff(15451,plain,
% 4.14/4.38 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[877, 125, 14848, 215, 836])).
% 4.14/4.38 tff(15452,plain,
% 4.14/4.38 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[5705, 15451])).
% 4.14/4.38 tff(15453,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(15454,plain,
% 4.14/4.38 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.38 inference(rewrite,[status(thm)],[])).
% 4.14/4.38 tff(15455,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.14/4.38 inference(monotonicity,[status(thm)],[15454])).
% 4.14/4.38 tff(15456,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.38 inference(transitivity,[status(thm)],[15455, 15453])).
% 4.14/4.38 tff(15457,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.14/4.38 inference(quant_inst,[status(thm)],[])).
% 4.14/4.38 tff(15458,plain,
% 4.14/4.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.14/4.38 inference(modus_ponens,[status(thm)],[15457, 15456])).
% 4.14/4.38 tff(15459,plain,
% 4.14/4.38 ($false),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15458, 91, 76, 7373, 318, 15452, 298])).
% 4.14/4.38 tff(15460,plain,((~r(s(s(z)), 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(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.38 tff(15461,plain,
% 4.14/4.38 (~r(s(s(z)), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[15460, 15450, 76, 298, 215, 71, 15442])).
% 4.14/4.38 tff(15462,plain,
% 4.14/4.38 (b(s(s(z)), z)),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[898, 15461])).
% 4.14/4.38 tff(15463,plain,
% 4.14/4.38 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[932, 15462, 178, 15444])).
% 4.14/4.38 tff(15464,plain,
% 4.14/4.38 (r(s(s(s(s(z)))), s(s(z)))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[938, 15463])).
% 4.14/4.38 tff(15465,plain,
% 4.14/4.38 (~b(s(z), s(s(s(s(z)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[7852, 15444, 72, 178])).
% 4.14/4.38 tff(15466,plain,
% 4.14/4.38 (r(s(z), s(s(s(s(z)))))),
% 4.14/4.38 inference(unit_resolution,[status(thm)],[563, 15465])).
% 4.14/4.38 tff(15467,plain,
% 4.14/4.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15468,plain,
% 4.14/4.39 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15469,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~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: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[15468])).
% 4.14/4.39 tff(15470,plain,
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% 4.14/4.39 inference(transitivity,[status(thm)],[15469, 15467])).
% 4.14/4.39 tff(15471,plain,
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% 4.14/4.39 inference(quant_inst,[status(thm)],[])).
% 4.14/4.39 tff(15472,plain,
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% 4.14/4.39 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 4.14/4.39 tff(15473,plain,
% 4.14/4.39 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15472, 91, 15462, 429, 15444, 72])).
% 4.14/4.39 tff(15474,plain,
% 4.14/4.39 (r(s(s(z)), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4476, 15473])).
% 4.14/4.39 tff(15475,plain,
% 4.14/4.39 (~b(s(z), s(s(z)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[992, 91, 15462, 178, 15444, 72])).
% 4.14/4.39 tff(15476,plain,
% 4.14/4.39 (r(s(z), s(s(z)))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1004, 15475])).
% 4.14/4.39 tff(15477,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4555, 15476, 15474, 15466, 15464])).
% 4.14/4.39 tff(15478,plain,((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15479,plain,
% 4.14/4.39 (~b(z, s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15478, 215, 72, 76, 298, 15418, 15325, 77])).
% 4.14/4.39 tff(15480,plain,
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% 4.14/4.39 inference(unit_resolution,[status(thm)],[267, 15479])).
% 4.14/4.39 tff(15481,plain,
% 4.14/4.39 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[6832, 15480, 15421, 215])).
% 4.14/4.39 tff(15482,plain,
% 4.14/4.39 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[295, 15481])).
% 4.14/4.39 tff(15483,plain,
% 4.14/4.39 (~b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4419, 15482, 15431, 77])).
% 4.14/4.39 tff(15484,plain,
% 4.14/4.39 (r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[163, 15483])).
% 4.14/4.39 tff(15485,plain,
% 4.14/4.39 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[144, 15484, 73, 15433])).
% 4.14/4.39 tff(15486,plain,
% 4.14/4.39 (b(s(z), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[563, 15485])).
% 4.14/4.39 tff(15487,plain,
% 4.14/4.39 (~b(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[306, 15482, 76, 72, 77, 298])).
% 4.14/4.39 tff(15488,plain,
% 4.14/4.39 (r(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[314, 15487])).
% 4.14/4.39 tff(15489,plain,
% 4.14/4.39 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15172, 15488, 215])).
% 4.14/4.39 tff(15490,plain,
% 4.14/4.39 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[336, 15489])).
% 4.14/4.39 tff(15491,plain,
% 4.14/4.39 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1293, 15488, 15325, 15433])).
% 4.14/4.39 tff(15492,plain,
% 4.14/4.39 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[113, 15491])).
% 4.14/4.39 tff(15493,plain,
% 4.14/4.39 (~r(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[5891, 15488, 15325, 15433, 15480])).
% 4.14/4.39 tff(15494,plain,
% 4.14/4.39 (b(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[201, 15493])).
% 4.14/4.39 tff(15495,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4701, 15494, 15492, 15418, 15490, 15486, 15431])).
% 4.14/4.39 tff(15496,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15497,plain,
% 4.14/4.39 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15496, 298, 77, 76, 72, 73])).
% 4.14/4.39 tff(15498,plain,
% 4.14/4.39 (b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1093, 15497])).
% 4.14/4.39 tff(15499,plain,
% 4.14/4.39 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[14869, 15498, 15418, 76])).
% 4.14/4.39 tff(15500,plain,
% 4.14/4.39 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[336, 15499])).
% 4.14/4.39 tff(15501,plain,
% 4.14/4.39 (~b(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[5514, 15498, 77, 298, 15431])).
% 4.14/4.39 tff(15502,plain,
% 4.14/4.39 (r(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[113, 15501])).
% 4.14/4.39 tff(15503,plain,
% 4.14/4.39 (~r(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1293, 15502, 15325, 15433])).
% 4.14/4.39 tff(15504,plain,
% 4.14/4.39 (b(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[314, 15503])).
% 4.14/4.39 tff(15505,plain,
% 4.14/4.39 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[403, 15504, 72, 15418])).
% 4.14/4.39 tff(15506,plain,
% 4.14/4.39 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[201, 15505])).
% 4.14/4.39 tff(15507,plain,
% 4.14/4.39 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[306, 15504, 76, 72, 77, 298])).
% 4.14/4.39 tff(15508,plain,
% 4.14/4.39 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[295, 15507])).
% 4.14/4.39 tff(15509,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[7597, 15508, 15506, 15421, 15500])).
% 4.14/4.39 tff(15510,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15511,plain,
% 4.14/4.39 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15510, 76, 72, 77, 73])).
% 4.14/4.39 tff(15512,plain,
% 4.14/4.39 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[246, 15511])).
% 4.14/4.39 tff(15513,plain,
% 4.14/4.39 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15332, 15512, 15325])).
% 4.14/4.39 tff(15514,plain,
% 4.14/4.39 (b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1093, 15513])).
% 4.14/4.39 tff(15515,plain,
% 4.14/4.39 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[14869, 15514, 15418, 76])).
% 4.14/4.39 tff(15516,plain,
% 4.14/4.39 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[336, 15515])).
% 4.14/4.39 tff(15517,plain,
% 4.14/4.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15518,plain,
% 4.14/4.39 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15519,plain,
% 4.14/4.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[15518])).
% 4.14/4.39 tff(15520,plain,
% 4.14/4.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(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(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.39 inference(transitivity,[status(thm)],[15519, 15517])).
% 4.14/4.39 tff(15521,plain,
% 4.14/4.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.39 inference(quant_inst,[status(thm)],[])).
% 4.14/4.39 tff(15522,plain,
% 4.14/4.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 4.14/4.39 tff(15523,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15522, 125, 14848, 15325, 15516, 15512, 73])).
% 4.14/4.39 tff(15524,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15525,plain,
% 4.14/4.39 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15524, 77, 72, 73])).
% 4.14/4.39 tff(15526,plain,
% 4.14/4.39 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[69, 15525])).
% 4.14/4.39 tff(15527,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4731, 125, 204, 71, 1020, 216, 73])).
% 4.14/4.39 tff(15528,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15529,plain,
% 4.14/4.39 (~r(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15528, 216, 15325, 15526, 73])).
% 4.14/4.39 tff(15530,plain,
% 4.14/4.39 (b(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[314, 15529])).
% 4.14/4.39 tff(15531,plain,
% 4.14/4.39 (~b(s(z), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[7852, 15530, 72, 15418])).
% 4.14/4.39 tff(15532,plain,
% 4.14/4.39 (r(s(z), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[563, 15531])).
% 4.14/4.39 tff(15533,plain,
% 4.14/4.39 (~b(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[403, 15530, 72, 15418])).
% 4.14/4.39 tff(15534,plain,
% 4.14/4.39 (r(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[201, 15533])).
% 4.14/4.39 tff(15535,plain,
% 4.14/4.39 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[553, 15534, 15526, 15532])).
% 4.14/4.39 tff(15536,plain,
% 4.14/4.39 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[542, 15535])).
% 4.14/4.39 tff(15537,plain,
% 4.14/4.39 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15332, 216, 15325])).
% 4.14/4.39 tff(15538,plain,
% 4.14/4.39 (b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1093, 15537])).
% 4.14/4.39 tff(15539,plain,
% 4.14/4.39 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15019, 15536, 72, 15538])).
% 4.14/4.39 tff(15540,plain,
% 4.14/4.39 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[295, 15539])).
% 4.14/4.39 tff(15541,plain,
% 4.14/4.39 (~r(s(z), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15319, 15540, 216, 15532, 15526])).
% 4.14/4.39 tff(15542,plain,
% 4.14/4.39 (b(s(z), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[163, 15541])).
% 4.14/4.39 tff(15543,plain,
% 4.14/4.39 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[8527, 15542, 72, 77, 15536])).
% 4.14/4.39 tff(15544,plain,
% 4.14/4.39 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1313, 15543])).
% 4.14/4.39 tff(15545,plain,
% 4.14/4.39 ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4283, 14848])).
% 4.14/4.39 tff(15546,plain,
% 4.14/4.39 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15545, 15544, 15526, 15325])).
% 4.14/4.39 tff(15547,plain,
% 4.14/4.39 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[689, 15546])).
% 4.14/4.39 tff(15548,plain,
% 4.14/4.39 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15422, 15544, 15325])).
% 4.14/4.39 tff(15549,plain,
% 4.14/4.39 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[113, 15548])).
% 4.14/4.39 tff(15550,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15551,plain,
% 4.14/4.39 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15552,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[15551])).
% 4.14/4.39 tff(15553,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.14/4.39 inference(transitivity,[status(thm)],[15552, 15550])).
% 4.14/4.39 tff(15554,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))))),
% 4.14/4.39 inference(quant_inst,[status(thm)],[])).
% 4.14/4.39 tff(15555,plain,
% 4.14/4.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 4.14/4.39 inference(modus_ponens,[status(thm)],[15554, 15553])).
% 4.14/4.39 tff(15556,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15555, 91, 77, 15549, 15418, 15547, 15530, 72])).
% 4.14/4.39 tff(15557,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15558,plain,
% 4.14/4.39 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15557, 77, 72, 73])).
% 4.14/4.39 tff(15559,plain,
% 4.14/4.39 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[246, 15558])).
% 4.14/4.39 tff(15560,plain,
% 4.14/4.39 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[378, 347, 73, 15526])).
% 4.14/4.39 tff(15561,plain,
% 4.14/4.39 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[246, 15560])).
% 4.14/4.39 tff(15562,plain,
% 4.14/4.39 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[6914, 269, 15526, 347])).
% 4.14/4.39 tff(15563,plain,
% 4.14/4.39 (b(s(z), s(s(s(s(z)))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[563, 15562])).
% 4.14/4.39 tff(15564,plain,
% 4.14/4.39 (~b(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[7852, 15563, 72, 15418])).
% 4.14/4.39 tff(15565,plain,
% 4.14/4.39 (r(s(s(s(s(z)))), z)),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[314, 15564])).
% 4.14/4.39 tff(15566,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[13466, 125, 765, 544, 1020, 347, 269])).
% 4.14/4.39 tff(15567,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15568,plain,
% 4.14/4.39 ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15567, 14848])).
% 4.14/4.39 tff(15569,plain,
% 4.14/4.39 (~r(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15568, 15565, 347, 269])).
% 4.14/4.39 tff(15570,plain,
% 4.14/4.39 (b(s(s(s(s(z)))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[201, 15569])).
% 4.14/4.39 tff(15571,plain,
% 4.14/4.39 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4395, 15570, 77, 15563])).
% 4.14/4.39 tff(15572,plain,
% 4.14/4.39 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[689, 15571])).
% 4.14/4.39 tff(15573,plain,
% 4.14/4.39 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[212, 15572, 73, 15526])).
% 4.14/4.39 tff(15574,plain,
% 4.14/4.39 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1313, 15573])).
% 4.14/4.39 tff(15575,plain,
% 4.14/4.39 (~r(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1293, 15572, 15325, 15565])).
% 4.14/4.39 tff(15576,plain,
% 4.14/4.39 (b(z, s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[113, 15575])).
% 4.14/4.39 tff(15577,plain,
% 4.14/4.39 ($false),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[5514, 15576, 15574, 77, 15561, 1073])).
% 4.14/4.39 tff(15578,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.39 tff(15579,plain,
% 4.14/4.39 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15578, 1073, 77, 73, 347, 72])).
% 4.14/4.39 tff(15580,plain,
% 4.14/4.39 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[295, 15579])).
% 4.14/4.39 tff(15581,plain,
% 4.14/4.39 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[4012, 15580, 15561, 77])).
% 4.14/4.39 tff(15582,plain,
% 4.14/4.39 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[542, 15581])).
% 4.14/4.39 tff(15583,plain,
% 4.14/4.39 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[15429, 15582, 77, 15325, 72])).
% 4.14/4.39 tff(15584,plain,
% 4.14/4.39 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.14/4.39 inference(unit_resolution,[status(thm)],[1313, 15583])).
% 4.14/4.39 tff(15585,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15586,plain,
% 4.14/4.39 (((~b(s(s(s(s(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(s(s(s(s(z))))))) | (~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(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.39 inference(rewrite,[status(thm)],[])).
% 4.14/4.39 tff(15587,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(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(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 4.14/4.39 inference(monotonicity,[status(thm)],[15586])).
% 4.14/4.39 tff(15588,plain,
% 4.14/4.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(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(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.40 inference(transitivity,[status(thm)],[15587, 15585])).
% 4.14/4.40 tff(15589,plain,
% 4.14/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.14/4.40 inference(quant_inst,[status(thm)],[])).
% 4.14/4.40 tff(15590,plain,
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% 4.14/4.40 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 4.14/4.40 tff(15591,plain,
% 4.14/4.40 ($false),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[15590, 91, 15584, 1073, 72, 15561, 15580])).
% 4.14/4.40 tff(15592,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.40 tff(15593,plain,
% 4.14/4.40 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[15592, 347, 77, 73, 72])).
% 4.14/4.40 tff(15594,plain,
% 4.14/4.40 (r(z, s(s(s(s(s(s(z)))))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[1093, 15593])).
% 4.14/4.40 tff(15595,plain,
% 4.14/4.40 (~r(s(s(s(s(z)))), z)),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[15172, 15594, 347])).
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% 4.14/4.40 (b(s(s(s(s(z)))), z)),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[314, 15595])).
% 4.14/4.40 tff(15597,plain,
% 4.14/4.40 (~b(s(z), s(s(s(s(z)))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[7852, 15596, 72, 15418])).
% 4.14/4.40 tff(15598,plain,
% 4.14/4.40 (~r(z, s(s(s(s(z)))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[15413, 15561, 77, 15526, 72, 73])).
% 4.14/4.40 tff(15599,plain,
% 4.14/4.40 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[4405, 15594, 15525, 347, 15598])).
% 4.14/4.40 tff(15600,plain,
% 4.14/4.40 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[295, 15599])).
% 4.14/4.40 tff(15601,plain,
% 4.14/4.40 (~r(s(z), s(s(s(s(z)))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[6914, 15600, 15526, 347])).
% 4.14/4.40 tff(15602,plain,
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% 4.14/4.40 inference(unit_resolution,[status(thm)],[563, 15601, 15597])).
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% 4.14/4.40 tff(15604,plain,
% 4.14/4.40 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[15603, 77, 72, 73])).
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% 4.14/4.40 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.14/4.40 inference(unit_resolution,[status(thm)],[336, 15604])).
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% 4.14/4.40 inference(rewrite,[status(thm)],[])).
% 4.14/4.40 tff(15607,plain,
% 4.14/4.40 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.14/4.40 inference(rewrite,[status(thm)],[])).
% 4.14/4.40 tff(15608,plain,
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% 4.24/4.40 inference(monotonicity,[status(thm)],[15607])).
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% 4.24/4.40 inference(transitivity,[status(thm)],[15608, 15606])).
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% 4.24/4.40 inference(quant_inst,[status(thm)],[])).
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% 4.24/4.40 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 4.24/4.40 tff(15612,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[15611, 125, 14848, 203, 204, 1020, 73])).
% 4.24/4.40 tff(15613,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15614,plain,
% 4.24/4.40 (~r(s(s(s(s(z)))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15613, 203, 15526, 73])).
% 4.24/4.40 tff(15615,plain,
% 4.24/4.40 (b(s(s(s(s(z)))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[314, 15614])).
% 4.24/4.40 tff(15616,plain,
% 4.24/4.40 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15545, 203, 15526, 15325])).
% 4.24/4.40 tff(15617,plain,
% 4.24/4.40 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[689, 15616])).
% 4.24/4.40 tff(15618,plain,
% 4.24/4.40 (~r(z, s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15422, 203, 15325])).
% 4.24/4.40 tff(15619,plain,
% 4.24/4.40 (b(z, s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[113, 15618])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[15555, 91, 77, 15619, 15418, 15617, 15615, 72])).
% 4.24/4.40 tff(15621,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15622,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[15621, 77, 72, 73])).
% 4.24/4.40 tff(15623,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1313, 15622])).
% 4.24/4.40 tff(15624,plain,
% 4.24/4.40 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[689, 15624])).
% 4.24/4.40 tff(15626,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[403, 74, 72, 15418])).
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% 4.24/4.40 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[201, 15626])).
% 4.24/4.40 tff(15628,plain,
% 4.24/4.40 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[7852, 74, 72, 15418])).
% 4.24/4.40 tff(15629,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[563, 15628])).
% 4.24/4.40 tff(15630,plain,
% 4.24/4.40 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[553, 15629, 15526, 15627])).
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% 4.24/4.40 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[542, 15630])).
% 4.24/4.40 tff(15632,plain,
% 4.24/4.40 (~r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[144, 15629, 73, 15625])).
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% 4.24/4.40 tff(15635,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15636,plain,
% 4.24/4.40 (~b(s(s(s(s(z)))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15635, 77, 72, 73])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[314, 15636])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[5514, 15639, 77, 15559, 15623])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[1093, 15640])).
% 4.24/4.40 tff(15642,plain,
% 4.24/4.40 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[4012, 297, 15559, 77])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[542, 15642])).
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% 4.24/4.40 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15429, 15643, 77, 15325, 72])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[1276, 14848])).
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% 4.24/4.40 tff(15660,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15661,plain,
% 4.24/4.40 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15660, 77, 72, 73])).
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% 4.24/4.40 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[295, 15661])).
% 4.24/4.40 tff(15663,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[6553, 15639, 72, 77])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[267, 15663])).
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% 4.24/4.40 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[6832, 15664, 15662, 15641])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[542, 15665])).
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% 4.24/4.40 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[5891, 15664, 15325, 15625, 15637])).
% 4.24/4.40 tff(15668,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[201, 15667])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[6971, 15668, 15666, 15605, 15623, 15639, 72])).
% 4.24/4.40 tff(15670,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15671,plain,
% 4.24/4.40 (~b(s(s(s(s(s(z))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15670, 73, 72])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[394, 15671])).
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% 4.24/4.40 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[14097, 78, 76])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[295, 15673])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[8976, 1020, 73, 80])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[427, 15675])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[10894, 15676, 76, 73, 80, 72])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[563, 15677])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[6362, 15678, 76, 297])).
% 4.24/4.40 tff(15680,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[336, 15679])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[15172, 15680, 1020])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[1093, 15681])).
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% 4.24/4.40 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[8612, 15678, 76, 297])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[201, 15683])).
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% 4.24/4.40 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15019, 15682, 72, 297])).
% 4.24/4.40 tff(15686,plain,
% 4.24/4.40 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[542, 15685])).
% 4.24/4.40 tff(15687,plain,
% 4.24/4.40 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[10171, 203, 410, 347, 544])).
% 4.24/4.40 tff(15688,plain,
% 4.24/4.40 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[689, 15687])).
% 4.24/4.40 tff(15689,plain,
% 4.24/4.40 ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[11046, 14848])).
% 4.24/4.40 tff(15690,plain,
% 4.24/4.40 (~r(z, s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15689, 203, 410, 545])).
% 4.24/4.40 tff(15691,plain,
% 4.24/4.40 (b(z, s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[113, 15690])).
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[10540, 15691, 15688, 72, 76, 79, 565, 203])).
% 4.24/4.40 tff(15693,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15694,plain,
% 4.24/4.40 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15693, 15676, 76, 72, 15678, 15672, 15686, 15680, 15684])).
% 4.24/4.40 tff(15695,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1313, 15694])).
% 4.24/4.40 tff(15696,plain,
% 4.24/4.40 (~b(z, s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1081, 15695, 15676, 15682])).
% 4.24/4.40 tff(15697,plain,
% 4.24/4.40 (r(z, s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[113, 15696])).
% 4.24/4.40 tff(15698,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[10498, 15697, 80, 15684, 73])).
% 4.24/4.40 tff(15699,plain,
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% 4.24/4.40 inference(unit_resolution,[status(thm)],[267, 15698])).
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% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(15701,plain,
% 4.24/4.40 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(15702,plain,
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% 4.24/4.40 inference(monotonicity,[status(thm)],[15701])).
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% 4.24/4.40 inference(transitivity,[status(thm)],[15702, 15700])).
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% 4.24/4.40 inference(quant_inst,[status(thm)],[])).
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% 4.24/4.40 inference(modus_ponens,[status(thm)],[15704, 15703])).
% 4.24/4.40 tff(15706,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15705, 91, 15676, 15699, 15695, 15682, 72, 297])).
% 4.24/4.40 tff(15707,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15708,plain,
% 4.24/4.40 (~r(s(s(s(s(z)))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15707, 297, 72, 80, 73, 76])).
% 4.24/4.40 tff(15709,plain,
% 4.24/4.40 (b(s(s(s(s(z)))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[314, 15708])).
% 4.24/4.40 tff(15710,plain,
% 4.24/4.40 (~b(z, s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[8578, 177, 72, 15709])).
% 4.24/4.40 tff(15711,plain,
% 4.24/4.40 (r(z, s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[267, 15710])).
% 4.24/4.40 tff(15712,plain,
% 4.24/4.40 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[8612, 177, 76, 297])).
% 4.24/4.40 tff(15713,plain,
% 4.24/4.40 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[563, 15712])).
% 4.24/4.40 tff(15714,plain,
% 4.24/4.40 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[6991, 15713, 73, 15672, 15711])).
% 4.24/4.40 tff(15715,plain,
% 4.24/4.40 (~b(s(s(s(s(s(z))))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[10894, 15713, 76, 73, 80, 72])).
% 4.24/4.40 tff(15716,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[427, 15715, 15714])).
% 4.24/4.40 tff(15717,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15718,plain,
% 4.24/4.40 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15717, 12212, 73, 76, 72, 15674])).
% 4.24/4.40 tff(15719,plain,
% 4.24/4.40 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[201, 15718])).
% 4.24/4.40 tff(15720,plain,
% 4.24/4.40 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[9839, 15719, 73, 15672, 12212])).
% 4.24/4.40 tff(15721,plain,
% 4.24/4.40 (b(s(s(s(s(s(z))))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[427, 15720])).
% 4.24/4.40 tff(15722,plain,
% 4.24/4.40 (~r(s(s(s(s(z)))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15707, 15674, 72, 12212, 73, 76])).
% 4.24/4.40 tff(15723,plain,
% 4.24/4.40 (b(s(s(s(s(z)))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[314, 15722])).
% 4.24/4.40 tff(15724,plain,
% 4.24/4.40 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[4445, 318, 76, 297])).
% 4.24/4.40 tff(15725,plain,
% 4.24/4.40 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[201, 15724])).
% 4.24/4.40 tff(15726,plain,
% 4.24/4.40 (~b(s(z), s(s(s(s(z)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[6362, 318, 76, 297])).
% 4.24/4.40 tff(15727,plain,
% 4.24/4.40 (r(s(z), s(s(s(s(z)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[563, 15726])).
% 4.24/4.40 tff(15728,plain,
% 4.24/4.40 ($false),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[738, 15727, 15725, 73, 410])).
% 4.24/4.40 tff(15729,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.40 tff(15730,plain,
% 4.24/4.40 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15729, 15674, 15672, 76, 73])).
% 4.24/4.40 tff(15731,plain,
% 4.24/4.40 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[336, 15730])).
% 4.24/4.40 tff(15732,plain,
% 4.24/4.40 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[133, 75, 73, 80])).
% 4.24/4.40 tff(15733,plain,
% 4.24/4.40 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[689, 15732])).
% 4.24/4.40 tff(15734,plain,
% 4.24/4.40 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[10462, 75, 73, 80, 347])).
% 4.24/4.40 tff(15735,plain,
% 4.24/4.40 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1093, 15734])).
% 4.24/4.40 tff(15736,plain,
% 4.24/4.40 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[9839, 544, 73, 15672, 80])).
% 4.24/4.40 tff(15737,plain,
% 4.24/4.40 (b(s(s(s(s(s(z))))), z)),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[427, 15736])).
% 4.24/4.40 tff(15738,plain,
% 4.24/4.40 (~r(s(z), s(s(s(s(z)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[738, 544, 73, 15672])).
% 4.24/4.40 tff(15739,plain,
% 4.24/4.40 (b(s(z), s(s(s(s(z)))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[563, 15738])).
% 4.24/4.40 tff(15740,plain,
% 4.24/4.40 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[7923, 15733, 76, 72, 15739, 15737])).
% 4.24/4.40 tff(15741,plain,
% 4.24/4.40 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[542, 15740])).
% 4.24/4.40 tff(15742,plain,
% 4.24/4.40 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[15693, 15741, 76, 72, 15739, 15672, 15737, 347, 544])).
% 4.24/4.40 tff(15743,plain,
% 4.24/4.40 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.40 inference(unit_resolution,[status(thm)],[1313, 15742])).
% 4.24/4.40 tff(15744,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(15745,plain,
% 4.24/4.40 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.24/4.40 inference(rewrite,[status(thm)],[])).
% 4.24/4.40 tff(15746,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 4.24/4.40 inference(monotonicity,[status(thm)],[15745])).
% 4.24/4.40 tff(15747,plain,
% 4.24/4.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.24/4.40 inference(transitivity,[status(thm)],[15746, 15744])).
% 4.24/4.40 tff(15748,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 4.24/4.40 inference(quant_inst,[status(thm)],[])).
% 4.24/4.40 tff(15749,plain,
% 4.24/4.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[15748, 15747])).
% 4.24/4.41 tff(15750,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15749, 91, 15739, 15743, 15735, 15733, 74, 72])).
% 4.24/4.41 tff(15751,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(15752,plain,
% 4.24/4.41 (~r(z, s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15751, 15723, 72, 76, 15731, 15719, 73, 12212])).
% 4.24/4.41 tff(15753,plain,
% 4.24/4.41 (b(z, s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[113, 15752])).
% 4.24/4.41 tff(15754,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[9115, 15753, 15723, 15721])).
% 4.24/4.41 tff(15755,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[689, 15754])).
% 4.24/4.41 tff(15756,plain,
% 4.24/4.41 (~r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[698, 15755, 15672, 15719])).
% 4.24/4.41 tff(15757,plain,
% 4.24/4.41 (b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[163, 15756])).
% 4.24/4.41 tff(15758,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[6326, 91, 15721, 15753, 15757, 72])).
% 4.24/4.41 tff(15759,plain,(b(z, s(s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(15760,plain,
% 4.24/4.41 (b(z, s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15759, 76, 72, 73])).
% 4.24/4.41 tff(15761,plain,
% 4.24/4.41 (~b(z, s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1182, 177, 72, 15760])).
% 4.24/4.41 tff(15762,plain,
% 4.24/4.41 (r(z, s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[267, 15761])).
% 4.24/4.41 tff(15763,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[800, 15760, 72, 15672, 73])).
% 4.24/4.41 tff(15764,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[314, 15763])).
% 4.24/4.41 tff(15765,plain,
% 4.24/4.41 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[4165, 125, 15672, 15764, 15762, 73])).
% 4.24/4.41 tff(15766,plain,
% 4.24/4.41 (b(s(s(s(s(s(z))))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[427, 15765])).
% 4.24/4.41 tff(15767,plain,
% 4.24/4.41 (~b(z, s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[4060, 669, 15760, 15766])).
% 4.24/4.41 tff(15768,plain,
% 4.24/4.41 (r(z, s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[113, 15767])).
% 4.24/4.41 tff(15769,plain,
% 4.24/4.41 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[7886, 15768, 15672, 15762, 269])).
% 4.24/4.41 tff(15770,plain,
% 4.24/4.41 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1093, 15769])).
% 4.24/4.41 tff(15771,plain,
% 4.24/4.41 (~r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[511, 15768, 15672, 15762])).
% 4.24/4.41 tff(15772,plain,
% 4.24/4.41 (b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[163, 15771])).
% 4.24/4.41 tff(15773,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[14869, 15770, 76, 15760])).
% 4.24/4.41 tff(15774,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[336, 15773])).
% 4.24/4.41 tff(15775,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15776,plain,
% 4.24/4.41 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15777,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[15776])).
% 4.24/4.41 tff(15778,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.24/4.41 inference(transitivity,[status(thm)],[15777, 15775])).
% 4.24/4.41 tff(15779,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(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))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(15780,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 4.24/4.41 tff(15781,plain,
% 4.24/4.41 (~b(s(s(z)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15780, 91, 924, 176, 178, 669, 72])).
% 4.24/4.41 tff(15782,plain,
% 4.24/4.41 (r(s(s(z)), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[857, 15781])).
% 4.24/4.41 tff(15783,plain,
% 4.24/4.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15784,plain,
% 4.24/4.41 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))) <=> ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15785,plain,
% 4.24/4.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[15784])).
% 4.24/4.41 tff(15786,plain,
% 4.24/4.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 4.24/4.41 inference(transitivity,[status(thm)],[15785, 15783])).
% 4.24/4.41 tff(15787,plain,
% 4.24/4.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(15788,plain,
% 4.24/4.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 4.24/4.41 tff(15789,plain,
% 4.24/4.41 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15788, 125, 15672, 135, 73, 15782])).
% 4.24/4.41 tff(15790,plain,
% 4.24/4.41 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[7643, 923, 178, 924])).
% 4.24/4.41 tff(15791,plain,
% 4.24/4.41 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[4476, 15790])).
% 4.24/4.41 tff(15792,plain,
% 4.24/4.41 ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[4985, 125, 15672, 135, 15791])).
% 4.24/4.41 tff(15793,plain,
% 4.24/4.41 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15792, 15782])).
% 4.24/4.41 tff(15794,plain,
% 4.24/4.41 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[5666, 15793])).
% 4.24/4.41 tff(15795,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15796,plain,
% 4.24/4.41 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15797,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[15796])).
% 4.24/4.41 tff(15798,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.41 inference(transitivity,[status(thm)],[15797, 15795])).
% 4.24/4.41 tff(15799,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(15800,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 4.24/4.41 tff(15801,plain,
% 4.24/4.41 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15800, 91, 79, 15794, 923, 669])).
% 4.24/4.41 tff(15802,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[5101, 15801, 15789])).
% 4.24/4.41 tff(15803,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(15804,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15803, 924, 669, 135, 73, 79, 176, 178, 72])).
% 4.24/4.41 tff(15805,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[938, 15804])).
% 4.24/4.41 tff(15806,plain,
% 4.24/4.41 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[4838, 15805, 15672, 135, 73])).
% 4.24/4.41 tff(15807,plain,
% 4.24/4.41 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[5101, 15806])).
% 4.24/4.41 tff(15808,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[800, 178, 72, 15672, 73])).
% 4.24/4.41 tff(15809,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[314, 15808])).
% 4.24/4.41 tff(15810,plain,
% 4.24/4.41 (~r(z, s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15043, 15805, 347, 15809])).
% 4.24/4.41 tff(15811,plain,
% 4.24/4.41 (b(z, s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[3400, 15810])).
% 4.24/4.41 tff(15812,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[9455, 15811, 15807, 79, 924])).
% 4.24/4.41 tff(15813,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(15814,plain,
% 4.24/4.41 (~b(s(s(z)), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15813, 15774, 15766, 135, 73, 669, 15772, 15760, 72])).
% 4.24/4.41 tff(15815,plain,
% 4.24/4.41 (r(s(s(z)), z)),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[898, 15814])).
% 4.24/4.41 tff(15816,plain,
% 4.24/4.41 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[6758, 15772, 76, 15760, 177, 15770])).
% 4.24/4.41 tff(15817,plain,
% 4.24/4.41 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[1313, 15816])).
% 4.24/4.41 tff(15818,plain,
% 4.24/4.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15819,plain,
% 4.24/4.41 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15820,plain,
% 4.24/4.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[15819])).
% 4.24/4.41 tff(15821,plain,
% 4.24/4.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.41 inference(transitivity,[status(thm)],[15820, 15818])).
% 4.24/4.41 tff(15822,plain,
% 4.24/4.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(15823,plain,
% 4.24/4.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[15822, 15821])).
% 4.24/4.41 tff(15824,plain,
% 4.24/4.41 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15823, 125, 14848, 15768, 15817, 15815])).
% 4.24/4.41 tff(15825,plain,
% 4.24/4.41 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[3164, 15824])).
% 4.24/4.41 tff(15826,plain,
% 4.24/4.41 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15689, 15817, 15672, 15768])).
% 4.24/4.41 tff(15827,plain,
% 4.24/4.41 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[542, 15826])).
% 4.24/4.41 tff(15828,plain,
% 4.24/4.41 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[8826, 923, 76, 3151])).
% 4.24/4.41 tff(15829,plain,
% 4.24/4.41 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[4476, 15828])).
% 4.24/4.41 tff(15830,plain,
% 4.24/4.41 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15076, 125, 14848, 836, 347])).
% 4.24/4.41 tff(15831,plain,
% 4.24/4.41 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15830, 15829])).
% 4.24/4.41 tff(15832,plain,
% 4.24/4.41 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[5705, 15831])).
% 4.24/4.41 tff(15833,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15834,plain,
% 4.24/4.41 (((~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(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.41 inference(rewrite,[status(thm)],[])).
% 4.24/4.41 tff(15835,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.24/4.41 inference(monotonicity,[status(thm)],[15834])).
% 4.24/4.41 tff(15836,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.41 inference(transitivity,[status(thm)],[15835, 15833])).
% 4.24/4.41 tff(15837,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.24/4.41 inference(quant_inst,[status(thm)],[])).
% 4.24/4.41 tff(15838,plain,
% 4.24/4.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.24/4.41 inference(modus_ponens,[status(thm)],[15837, 15836])).
% 4.24/4.41 tff(15839,plain,
% 4.24/4.41 ($false),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15838, 91, 76, 3151, 15832, 923])).
% 4.24/4.41 tff(15840,plain,((~b(s(s(s(s(z)))), 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)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.41 tff(15841,plain,
% 4.24/4.41 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[15840, 15825, 76, 15815, 15774])).
% 4.24/4.41 tff(15842,plain,
% 4.24/4.41 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.41 inference(unit_resolution,[status(thm)],[938, 15841])).
% 4.24/4.41 tff(15843,plain,
% 4.24/4.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(15844,plain,
% 4.24/4.42 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(15845,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[15844])).
% 4.24/4.42 tff(15846,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 4.24/4.42 inference(transitivity,[status(thm)],[15845, 15843])).
% 4.24/4.42 tff(15847,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.24/4.42 inference(quant_inst,[status(thm)],[])).
% 4.24/4.42 tff(15848,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 4.24/4.42 tff(15849,plain,
% 4.24/4.42 (~b(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15848, 91, 3151, 79, 5653, 72, 526])).
% 4.24/4.42 tff(15850,plain,
% 4.24/4.42 (r(s(z), s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1004, 15849])).
% 4.24/4.42 tff(15851,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), 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(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), 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(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(15852,plain,
% 4.24/4.42 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), 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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), 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(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(15853,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), 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(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[15852])).
% 4.24/4.42 tff(15854,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), 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(X1, 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(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), 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(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.42 inference(transitivity,[status(thm)],[15853, 15851])).
% 4.24/4.42 tff(15855,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), 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)))))),
% 4.24/4.42 inference(quant_inst,[status(thm)],[])).
% 4.24/4.42 tff(15856,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 4.24/4.42 tff(15857,plain,
% 4.24/4.42 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15856, 91, 76, 3151, 176, 5653, 177])).
% 4.24/4.42 tff(15858,plain,
% 4.24/4.42 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4476, 15857])).
% 4.24/4.42 tff(15859,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4555, 15858, 15850, 135, 3102])).
% 4.24/4.42 tff(15860,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), 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(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(15861,plain,
% 4.24/4.42 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15860, 15842, 135, 76, 15825, 15772, 177, 15766, 72, 15827])).
% 4.24/4.42 tff(15862,plain,
% 4.24/4.42 (r(s(s(z)), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[5666, 15861])).
% 4.24/4.42 tff(15863,plain,
% 4.24/4.42 ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4483, 125, 15764, 15815, 73])).
% 4.24/4.42 tff(15864,plain,
% 4.24/4.42 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15863, 15862])).
% 4.24/4.42 tff(15865,plain,
% 4.24/4.42 (b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4476, 15864])).
% 4.24/4.42 tff(15866,plain,
% 4.24/4.42 (~r(z, s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15043, 15842, 15774, 15764])).
% 4.24/4.42 tff(15867,plain,
% 4.24/4.42 (b(z, s(s(z)))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[3400, 15866])).
% 4.24/4.42 tff(15868,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z)))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(15869,plain,
% 4.24/4.42 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z)))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(15870,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z))))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[15869])).
% 4.24/4.42 tff(15871,plain,
% 4.24/4.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z)))))),
% 4.24/4.42 inference(transitivity,[status(thm)],[15870, 15868])).
% 4.24/4.42 tff(15872,plain,
% 4.24/4.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))),
% 4.24/4.42 inference(quant_inst,[status(thm)],[])).
% 4.24/4.42 tff(15873,plain,
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% 4.24/4.42 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 4.24/4.42 tff(15874,plain,
% 4.24/4.42 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15873, 91, 15867, 15865, 15825, 15770])).
% 4.24/4.42 tff(15875,plain,
% 4.24/4.42 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[5705, 15874])).
% 4.24/4.42 tff(15876,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15118, 125, 14848, 15842, 15764, 15774, 15875])).
% 4.24/4.42 tff(15877,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(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(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(15878,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15877, 269, 135, 76, 177, 72, 73])).
% 4.24/4.42 tff(15879,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[689, 15878])).
% 4.24/4.42 tff(15880,plain,
% 4.24/4.42 (~r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[144, 15879, 73, 135])).
% 4.24/4.42 tff(15881,plain,
% 4.24/4.42 (b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[163, 15880])).
% 4.24/4.42 tff(15882,plain,
% 4.24/4.42 (~b(z, s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[5899, 91, 15766, 15881, 15760, 72])).
% 4.24/4.42 tff(15883,plain,
% 4.24/4.42 (r(z, s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[113, 15882])).
% 4.24/4.42 tff(15884,plain,
% 4.24/4.42 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[7886, 15883, 15672, 15762, 269])).
% 4.24/4.42 tff(15885,plain,
% 4.24/4.42 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1093, 15884])).
% 4.24/4.42 tff(15886,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[14869, 15885, 76, 15760])).
% 4.24/4.42 tff(15887,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[336, 15886])).
% 4.24/4.42 tff(15888,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[11437, 125, 14848, 15883, 15764, 15887, 15879])).
% 4.24/4.42 tff(15889,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(15890,plain,
% 4.24/4.42 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15889, 135, 72, 73, 76, 177])).
% 4.24/4.42 tff(15891,plain,
% 4.24/4.42 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[295, 15890])).
% 4.24/4.42 tff(15892,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15729, 15891, 15672, 76, 73])).
% 4.24/4.42 tff(15893,plain,
% 4.24/4.42 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[336, 15892])).
% 4.24/4.42 tff(15894,plain,
% 4.24/4.42 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15172, 15893, 15764])).
% 4.24/4.42 tff(15895,plain,
% 4.24/4.42 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1093, 15894])).
% 4.24/4.42 tff(15896,plain,
% 4.24/4.42 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15019, 15895, 72, 15891])).
% 4.24/4.42 tff(15897,plain,
% 4.24/4.42 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[542, 15896])).
% 4.24/4.42 tff(15898,plain,
% 4.24/4.42 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[2993, 15897, 73, 15672, 135])).
% 4.24/4.42 tff(15899,plain,
% 4.24/4.42 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[246, 15898])).
% 4.24/4.42 tff(15900,plain,
% 4.24/4.42 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[5484, 15899, 15766, 15895])).
% 4.24/4.42 tff(15901,plain,
% 4.24/4.42 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[1313, 15900])).
% 4.24/4.42 tff(15902,plain,
% 4.24/4.42 (~r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4892, 15901, 73, 15672, 135, 177, 76])).
% 4.24/4.42 tff(15903,plain,
% 4.24/4.42 (b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[163, 15902])).
% 4.24/4.42 tff(15904,plain,
% 4.24/4.42 (~r(z, s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15689, 15901, 15672, 15897])).
% 4.24/4.42 tff(15905,plain,
% 4.24/4.42 (b(z, s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[113, 15904])).
% 4.24/4.42 tff(15906,plain,
% 4.24/4.42 ($false),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[6326, 91, 15766, 15905, 15903, 72])).
% 4.24/4.42 tff(15907,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.42 tff(15908,plain,
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% 4.24/4.42 tff(15926,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[295, 15930])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[6057, 15933, 76, 318])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[689, 15934])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[698, 15935, 410, 544])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[163, 15936])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[5909, 15935, 410, 1020, 544])).
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% 4.24/4.42 (b(z, s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[113, 15938])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[5891, 15935, 544, 71, 1020])).
% 4.24/4.42 tff(15941,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[267, 15940])).
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% 4.24/4.42 tff(15944,plain,
% 4.24/4.42 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15943, 71, 15927, 76, 15764, 15672, 73])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[336, 15944])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[15568, 15945, 15764, 15927])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[295, 15946])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[15172, 15945, 15764])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[1093, 15948])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[542, 15950])).
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% 4.24/4.42 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[15522, 125, 14848, 71, 15945, 73])).
% 4.24/4.42 tff(15953,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[246, 15952])).
% 4.24/4.42 tff(15954,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[698, 115, 410, 544])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[163, 15954])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[5909, 115, 410, 1020, 544])).
% 4.24/4.42 tff(15957,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[113, 15956])).
% 4.24/4.42 tff(15958,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[5891, 115, 544, 71, 1020])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[267, 15958])).
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% 4.24/4.42 tff(15962,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[15961, 15953, 76, 15929, 15927, 71, 15764, 15672])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[689, 15962])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[10817, 15963, 76, 15953])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[1313, 15964])).
% 4.24/4.42 tff(15966,plain,
% 4.24/4.42 (~r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.42 inference(unit_resolution,[status(thm)],[4882, 15965, 15672, 15951])).
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[163, 15966])).
% 4.24/4.42 tff(15968,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[15689, 15965, 15672, 15951])).
% 4.24/4.42 tff(15969,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[113, 15968])).
% 4.24/4.42 tff(15970,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[15425, 15965, 71, 15951])).
% 4.24/4.42 tff(15971,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[267, 15970])).
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% 4.24/4.42 tff(15974,plain,
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[689, 15978])).
% 4.24/4.42 tff(15980,plain,
% 4.24/4.42 (~b(s(s(s(s(s(s(z)))))), s(z))),
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% 4.24/4.42 inference(unit_resolution,[status(thm)],[542, 15980])).
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% 4.24/4.42 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 4.24/4.42 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.24/4.42 inference(rewrite,[status(thm)],[])).
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% 4.24/4.42 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.42 inference(rewrite,[status(thm)],[])).
% 4.24/4.42 tff(15992,plain,
% 4.24/4.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.24/4.42 inference(monotonicity,[status(thm)],[15991])).
% 4.24/4.42 tff(15993,plain,
% 4.24/4.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[15992, 15990])).
% 4.24/4.43 tff(15994,plain,
% 4.24/4.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
% 4.24/4.43 tff(15995,plain,
% 4.24/4.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[15994, 15993])).
% 4.24/4.43 tff(15996,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[15995, 125, 15672, 15989, 15985, 73, 15981])).
% 4.24/4.43 tff(15997,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(15998,plain,
% 4.24/4.43 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[15997, 73, 72])).
% 4.24/4.43 tff(15999,plain,
% 4.24/4.43 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[69, 15998])).
% 4.24/4.43 tff(16000,plain,
% 4.24/4.43 (~b(z, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[800, 74, 72, 15672, 73])).
% 4.24/4.43 tff(16001,plain,
% 4.24/4.43 (r(z, s(s(s(s(z)))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[174, 16000])).
% 4.24/4.43 tff(16002,plain,
% 4.24/4.43 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[6472, 125, 410, 204, 544, 73])).
% 4.24/4.43 tff(16003,plain,
% 4.24/4.43 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[246, 16002])).
% 4.24/4.43 tff(16004,plain,
% 4.24/4.43 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[9839, 544, 73, 410, 80])).
% 4.24/4.43 tff(16005,plain,
% 4.24/4.43 (b(s(s(s(s(s(z))))), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[427, 16004])).
% 4.24/4.43 tff(16006,plain,
% 4.24/4.43 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[15183, 75, 73, 204])).
% 4.24/4.43 tff(16007,plain,
% 4.24/4.43 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1313, 16006])).
% 4.24/4.43 tff(16008,plain,
% 4.24/4.43 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[5484, 16003, 16007, 16005])).
% 4.24/4.43 tff(16009,plain,
% 4.24/4.43 (r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1093, 16008])).
% 4.24/4.43 tff(16010,plain,
% 4.24/4.43 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[10462, 16009, 73, 80, 75])).
% 4.24/4.43 tff(16011,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[336, 16010])).
% 4.24/4.43 tff(16012,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[7901, 91, 16007, 16011, 15733, 16003])).
% 4.24/4.43 tff(16013,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(16014,plain,
% 4.24/4.43 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16013, 75, 16001, 73, 15672, 15999])).
% 4.24/4.43 tff(16015,plain,
% 4.24/4.43 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[201, 16014])).
% 4.24/4.43 tff(16016,plain,
% 4.24/4.43 (~b(z, s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[8578, 16015, 72, 74])).
% 4.24/4.43 tff(16017,plain,
% 4.24/4.43 (r(z, s(z))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[267, 16016])).
% 4.24/4.43 tff(16018,plain,
% 4.24/4.43 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[15183, 75, 73, 15999])).
% 4.24/4.43 tff(16019,plain,
% 4.24/4.43 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1313, 16018])).
% 4.24/4.43 tff(16020,plain,
% 4.24/4.43 ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[11845, 125, 14848, 16001, 73])).
% 4.24/4.43 tff(16021,plain,
% 4.24/4.43 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16020, 71])).
% 4.24/4.43 tff(16022,plain,
% 4.24/4.43 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[246, 16021])).
% 4.24/4.43 tff(16023,plain,
% 4.24/4.43 (~r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[511, 16017, 15672, 75])).
% 4.24/4.43 tff(16024,plain,
% 4.24/4.43 (b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[163, 16023])).
% 4.24/4.43 tff(16025,plain,
% 4.24/4.43 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[501, 16022, 16019, 16024])).
% 4.24/4.43 tff(16026,plain,
% 4.24/4.43 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[295, 16025])).
% 4.24/4.43 tff(16027,plain,
% 4.24/4.43 (~r(s(s(z)), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[7371, 5707, 71, 75])).
% 4.24/4.43 tff(16028,plain,
% 4.24/4.43 (b(s(s(z)), z)),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[898, 16027])).
% 4.24/4.43 tff(16029,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16030,plain,
% 4.24/4.43 (((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, 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(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16031,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[16030])).
% 4.24/4.43 tff(16032,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.24/4.43 inference(transitivity,[status(thm)],[16031, 16029])).
% 4.24/4.43 tff(16033,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
% 4.24/4.43 tff(16034,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[16033, 16032])).
% 4.24/4.43 tff(16035,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16034, 91, 3382, 924, 565, 74, 72])).
% 4.24/4.43 tff(16036,plain,((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(16037,plain,
% 4.24/4.43 (~b(z, s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16036, 16028, 72, 74, 565])).
% 4.24/4.43 tff(16038,plain,
% 4.24/4.43 (r(z, s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[3400, 16037])).
% 4.24/4.43 tff(16039,plain,
% 4.24/4.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16040,plain,
% 4.24/4.43 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16041,plain,
% 4.24/4.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z)))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[16040])).
% 4.24/4.43 tff(16042,plain,
% 4.24/4.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[16041, 16039])).
% 4.24/4.43 tff(16043,plain,
% 4.24/4.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
% 4.24/4.43 tff(16044,plain,
% 4.24/4.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z)))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 4.24/4.43 tff(16045,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16044, 125, 16038, 410, 75, 270, 5707])).
% 4.24/4.43 tff(16046,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(16047,plain,
% 4.24/4.43 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16046, 71, 75, 16017, 72, 74, 565, 15672])).
% 4.24/4.43 tff(16048,plain,
% 4.24/4.43 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[5666, 16047])).
% 4.24/4.43 tff(16049,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16050,plain,
% 4.24/4.43 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16051,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[16050])).
% 4.24/4.43 tff(16052,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[16051, 16049])).
% 4.24/4.43 tff(16053,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
% 4.24/4.43 tff(16054,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 4.24/4.43 tff(16055,plain,
% 4.24/4.43 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16054, 91, 16048, 16019, 16022])).
% 4.24/4.43 tff(16056,plain,
% 4.24/4.43 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[3164, 16055])).
% 4.24/4.43 tff(16057,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16058,plain,
% 4.24/4.43 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16059,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[16058])).
% 4.24/4.43 tff(16060,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.24/4.43 inference(transitivity,[status(thm)],[16059, 16057])).
% 4.24/4.43 tff(16061,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
% 4.24/4.43 tff(16062,plain,
% 4.24/4.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 4.24/4.43 tff(16063,plain,
% 4.24/4.43 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16062, 91, 16048, 16019, 16022])).
% 4.24/4.43 tff(16064,plain,
% 4.24/4.43 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[5705, 16063])).
% 4.24/4.43 tff(16065,plain,
% 4.24/4.43 ($false),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[11788, 125, 4499, 4961, 3103, 269])).
% 4.24/4.43 tff(16066,plain,((~r(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.43 tff(16067,plain,
% 4.24/4.43 (~r(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[16066, 16064, 16056, 16026])).
% 4.24/4.43 tff(16068,plain,
% 4.24/4.43 (b(s(z), s(s(z)))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1004, 16067])).
% 4.24/4.43 tff(16069,plain,
% 4.24/4.43 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[7886, 16026, 15672, 75, 16017])).
% 4.24/4.43 tff(16070,plain,
% 4.24/4.43 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.43 inference(unit_resolution,[status(thm)],[1093, 16069])).
% 4.24/4.43 tff(16071,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16072,plain,
% 4.24/4.43 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 4.24/4.43 inference(rewrite,[status(thm)],[])).
% 4.24/4.43 tff(16073,plain,
% 4.24/4.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(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: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z))))),
% 4.24/4.43 inference(monotonicity,[status(thm)],[16072])).
% 4.24/4.43 tff(16074,plain,
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% 4.24/4.43 inference(transitivity,[status(thm)],[16073, 16071])).
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% 4.24/4.43 inference(quant_inst,[status(thm)],[])).
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% 4.24/4.43 inference(modus_ponens,[status(thm)],[16075, 16074])).
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% 4.24/4.43 inference(unit_resolution,[status(thm)],[16077, 16068])).
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% 4.24/4.43 inference(unit_resolution,[status(thm)],[3400, 16080])).
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% 4.24/4.44 tff(16090,plain,
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% 4.24/4.45 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[295, 16379])).
% 4.24/4.45 tff(16381,plain,
% 4.24/4.45 (~r(z, s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[278, 16380, 203, 16354, 16368])).
% 4.24/4.45 tff(16382,plain,
% 4.24/4.45 (b(z, s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[267, 16381])).
% 4.24/4.45 tff(16383,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[11911, 91, 77, 16352, 16382, 72])).
% 4.24/4.45 tff(16384,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(16385,plain,
% 4.24/4.45 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[16384, 77, 72, 135])).
% 4.24/4.45 tff(16386,plain,
% 4.24/4.45 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[1313, 16385])).
% 4.24/4.45 tff(16387,plain,
% 4.24/4.45 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[15654, 1020, 135, 204])).
% 4.24/4.45 tff(16388,plain,
% 4.24/4.45 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[542, 16387])).
% 4.24/4.45 tff(16389,plain,
% 4.24/4.45 (~r(z, s(s(s(s(z)))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[14995, 1020, 204])).
% 4.24/4.45 tff(16390,plain,
% 4.24/4.45 (b(z, s(s(s(s(z)))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[174, 16389])).
% 4.24/4.45 tff(16391,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(16392,plain,
% 4.24/4.45 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(16393,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[16392])).
% 4.24/4.45 tff(16394,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.45 inference(transitivity,[status(thm)],[16393, 16391])).
% 4.24/4.45 tff(16395,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 4.24/4.45 inference(quant_inst,[status(thm)],[])).
% 4.24/4.45 tff(16396,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[16395, 16394])).
% 4.24/4.45 tff(16397,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[16396, 91, 77, 16390, 16386, 72, 16388, 16258])).
% 4.24/4.45 tff(16398,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(16399,plain,
% 4.24/4.45 (~r(s(s(s(s(z)))), z)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[16398, 204, 72, 77, 135])).
% 4.24/4.45 tff(16400,plain,
% 4.24/4.45 (b(s(s(s(s(z)))), z)),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[314, 16399])).
% 4.24/4.45 tff(16401,plain,
% 4.24/4.45 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[8578, 429, 72, 16400])).
% 4.24/4.45 tff(16402,plain,
% 4.24/4.45 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[201, 16401])).
% 4.24/4.45 tff(16403,plain,
% 4.24/4.45 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[553, 16402, 135, 204])).
% 4.24/4.45 tff(16404,plain,
% 4.24/4.45 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[542, 16403])).
% 4.24/4.45 tff(16405,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(16406,plain,
% 4.24/4.45 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.45 inference(rewrite,[status(thm)],[])).
% 4.24/4.45 tff(16407,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 4.24/4.45 inference(monotonicity,[status(thm)],[16406])).
% 4.24/4.45 tff(16408,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.45 inference(transitivity,[status(thm)],[16407, 16405])).
% 4.24/4.45 tff(16409,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 4.24/4.45 inference(quant_inst,[status(thm)],[])).
% 4.24/4.45 tff(16410,plain,
% 4.24/4.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 4.24/4.45 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 4.24/4.45 tff(16411,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[16410, 91, 77, 429, 16386, 72, 16404])).
% 4.24/4.45 tff(16412,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(16413,plain,
% 4.24/4.45 (~b(z, s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[16412, 204, 72, 135, 77])).
% 4.24/4.45 tff(16414,plain,
% 4.24/4.45 (r(z, s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[267, 16413])).
% 4.24/4.45 tff(16415,plain,
% 4.24/4.45 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[15032, 16414, 135, 204])).
% 4.24/4.45 tff(16416,plain,
% 4.24/4.45 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[542, 16415])).
% 4.24/4.45 tff(16417,plain,
% 4.24/4.45 (~b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[8527, 16416, 72, 77, 16386])).
% 4.24/4.45 tff(16418,plain,
% 4.24/4.45 (r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[163, 16417])).
% 4.24/4.45 tff(16419,plain,
% 4.24/4.45 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[5050, 298, 349, 348])).
% 4.24/4.45 tff(16420,plain,
% 4.24/4.45 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[336, 16419])).
% 4.24/4.45 tff(16421,plain,
% 4.24/4.45 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[4012, 298, 77, 526])).
% 4.24/4.45 tff(16422,plain,
% 4.24/4.45 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[295, 16421])).
% 4.24/4.45 tff(16423,plain,
% 4.24/4.45 ($false),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[6914, 16422, 16420, 135, 204])).
% 4.24/4.45 tff(16424,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.45 tff(16425,plain,
% 4.24/4.45 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[16424, 204, 135, 77, 16416, 16258, 16386])).
% 4.24/4.45 tff(16426,plain,
% 4.24/4.45 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[246, 16425])).
% 4.24/4.45 tff(16427,plain,
% 4.24/4.45 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[15319, 16426, 204, 135, 16418])).
% 4.24/4.45 tff(16428,plain,
% 4.24/4.45 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[295, 16427])).
% 4.24/4.45 tff(16429,plain,
% 4.24/4.45 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[9665, 12212, 135, 16272])).
% 4.24/4.45 tff(16430,plain,
% 4.24/4.45 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[201, 16429])).
% 4.24/4.45 tff(16431,plain,
% 4.24/4.45 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[8602, 15329, 135, 16430, 12212, 16272])).
% 4.24/4.45 tff(16432,plain,
% 4.24/4.45 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[1093, 16431])).
% 4.24/4.45 tff(16433,plain,
% 4.24/4.45 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[4445, 15329, 16430, 76])).
% 4.24/4.45 tff(16434,plain,
% 4.24/4.45 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.45 inference(unit_resolution,[status(thm)],[336, 16433])).
% 4.24/4.45 tff(16435,plain,
% 4.24/4.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16436,plain,
% 4.24/4.46 (((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(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(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16437,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[16436])).
% 4.24/4.46 tff(16438,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[16437, 16435])).
% 4.24/4.46 tff(16439,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(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(s(s(z))))))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(16440,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[16439, 16438])).
% 4.24/4.46 tff(16441,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16440, 91, 76, 4456, 348, 923, 349])).
% 4.24/4.46 tff(16442,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(16443,plain,
% 4.24/4.46 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16442, 4456, 76, 348, 349])).
% 4.24/4.46 tff(16444,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[938, 16443])).
% 4.24/4.46 tff(16445,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16446,plain,
% 4.24/4.46 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16447,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[16446])).
% 4.24/4.46 tff(16448,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[16447, 16445])).
% 4.24/4.46 tff(16449,plain,
% 4.24/4.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(16450,plain,
% 4.24/4.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z)))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[16449, 16448])).
% 4.24/4.46 tff(16451,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16450, 125, 3403, 3102, 135, 270, 80])).
% 4.24/4.46 tff(16452,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(16453,plain,
% 4.24/4.46 (~r(z, s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16452, 16444, 135, 270, 80])).
% 4.24/4.46 tff(16454,plain,
% 4.24/4.46 (~r(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[9665, 80, 135, 270])).
% 4.24/4.46 tff(16455,plain,
% 4.24/4.46 (b(s(s(s(s(z)))), s(z))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[201, 16454])).
% 4.24/4.46 tff(16456,plain,
% 4.24/4.46 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[6871, 76, 349, 348])).
% 4.24/4.46 tff(16457,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[689, 16456])).
% 4.24/4.46 tff(16458,plain,
% 4.24/4.46 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[5112, 4456, 77, 81, 177, 3382])).
% 4.24/4.46 tff(16459,plain,
% 4.24/4.46 (r(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[5101, 16458])).
% 4.24/4.46 tff(16460,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z))))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16461,plain,
% 4.24/4.46 (((~b(s(s(s(s(s(z))))), 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(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z))))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16462,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), 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(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z))))), s(s(s(s(z))))))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[16461])).
% 4.24/4.46 tff(16463,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), 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(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z))))), s(s(s(s(z)))))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[16462, 16460])).
% 4.24/4.46 tff(16464,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), 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(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(16465,plain,
% 4.24/4.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(z))))), s(s(s(s(z))))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[16464, 16463])).
% 4.24/4.46 tff(16466,plain,
% 4.24/4.46 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16465, 91, 3382, 4456, 348, 1073, 349])).
% 4.24/4.46 tff(16467,plain,
% 4.24/4.46 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[5705, 16466])).
% 4.24/4.46 tff(16468,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16469,plain,
% 4.24/4.46 (((~r(s(s(z)), 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(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(z)))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16470,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(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(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[16469])).
% 4.24/4.46 tff(16471,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(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(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[16470, 16468])).
% 4.24/4.46 tff(16472,plain,
% 4.24/4.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), 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(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(z))))))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(16473,plain,
% 4.24/4.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 4.24/4.46 tff(16474,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16473, 125, 3102, 347, 16467, 115, 16459])).
% 4.24/4.46 tff(16475,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(16476,plain,
% 4.24/4.46 (~b(z, s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16475, 16444, 347, 16457, 4456, 348, 1073, 349, 77, 81, 16455])).
% 4.24/4.46 tff(16477,plain,
% 4.24/4.46 ($false),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[3400, 16476, 16453])).
% 4.24/4.46 tff(16478,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.46 tff(16479,plain,
% 4.24/4.46 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16478, 16434, 16386, 16432, 16258, 77, 81, 135, 16272, 12212, 76])).
% 4.24/4.46 tff(16480,plain,
% 4.24/4.46 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[4476, 16479])).
% 4.24/4.46 tff(16481,plain,
% 4.24/4.46 (~b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[4419, 15329, 77, 16386])).
% 4.24/4.46 tff(16482,plain,
% 4.24/4.46 (r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[163, 16481])).
% 4.24/4.46 tff(16483,plain,
% 4.24/4.46 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[6871, 76, 16258, 16386])).
% 4.24/4.46 tff(16484,plain,
% 4.24/4.46 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[689, 16483])).
% 4.24/4.46 tff(16485,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16486,plain,
% 4.24/4.46 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~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(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.46 tff(16487,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 4.24/4.46 inference(monotonicity,[status(thm)],[16486])).
% 4.24/4.46 tff(16488,plain,
% 4.24/4.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.46 inference(transitivity,[status(thm)],[16487, 16485])).
% 4.24/4.46 tff(16489,plain,
% 4.24/4.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.46 inference(quant_inst,[status(thm)],[])).
% 4.24/4.46 tff(16490,plain,
% 4.24/4.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 4.24/4.46 inference(modus_ponens,[status(thm)],[16489, 16488])).
% 4.24/4.46 tff(16491,plain,
% 4.24/4.46 (~r(s(z), s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[16490, 125, 135, 115, 136, 4539])).
% 4.24/4.46 tff(16492,plain,
% 4.24/4.46 (b(s(z), s(s(z)))),
% 4.24/4.46 inference(unit_resolution,[status(thm)],[1004, 16491])).
% 4.24/4.46 tff(16493,plain,
% 4.24/4.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.24/4.46 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16494,plain,
% 4.24/4.47 (((~b(s(z), s(s(z)))) | (~b(s(z), s(s(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(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16495,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[16494])).
% 4.24/4.47 tff(16496,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.24/4.47 inference(transitivity,[status(thm)],[16495, 16493])).
% 4.24/4.47 tff(16497,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(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))))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(16498,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[16497, 16496])).
% 4.24/4.47 tff(16499,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16498, 91, 923, 16492, 177, 3451])).
% 4.24/4.47 tff(16500,plain,((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), 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)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16501,plain,
% 4.24/4.47 (~b(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16500, 923, 16455, 135, 115, 136, 4539])).
% 4.24/4.47 tff(16502,plain,
% 4.24/4.47 (r(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[857, 16501])).
% 4.24/4.47 tff(16503,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16504,plain,
% 4.24/4.47 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16505,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[16504])).
% 4.24/4.47 tff(16506,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.24/4.47 inference(transitivity,[status(thm)],[16505, 16503])).
% 4.24/4.47 tff(16507,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(16508,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 4.24/4.47 tff(16509,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16508, 91, 3382, 77, 923, 177, 72, 349])).
% 4.24/4.47 tff(16510,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), 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(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16511,plain,
% 4.24/4.47 (~b(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16510, 923, 16258, 77, 72, 16455])).
% 4.24/4.47 tff(16512,plain,
% 4.24/4.47 (r(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[3400, 16511])).
% 4.24/4.47 tff(16513,plain,
% 4.24/4.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16514,plain,
% 4.24/4.47 (((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16515,plain,
% 4.24/4.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[16514])).
% 4.24/4.47 tff(16516,plain,
% 4.24/4.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))))),
% 4.24/4.47 inference(transitivity,[status(thm)],[16515, 16513])).
% 4.24/4.47 tff(16517,plain,
% 4.24/4.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(16518,plain,
% 4.24/4.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[16517, 16516])).
% 4.24/4.47 tff(16519,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16518, 125, 16512, 135, 270, 80, 16502])).
% 4.24/4.47 tff(16520,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16521,plain,
% 4.24/4.47 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16520, 16484, 16272, 12212, 135, 16482, 16480, 77, 72])).
% 4.24/4.47 tff(16522,plain,
% 4.24/4.47 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[938, 16521])).
% 4.24/4.47 tff(16523,plain,
% 4.24/4.47 (~r(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16452, 16522, 135, 16272, 12212])).
% 4.24/4.47 tff(16524,plain,
% 4.24/4.47 (b(z, s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[3400, 16523])).
% 4.24/4.47 tff(16525,plain,
% 4.24/4.47 (~r(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[4555, 16522, 135, 16480])).
% 4.24/4.47 tff(16526,plain,
% 4.24/4.47 (b(s(z), s(s(z)))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[1004, 16525])).
% 4.24/4.47 tff(16527,plain,
% 4.24/4.47 (~b(s(s(z)), z)),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15139, 16526, 72, 16524])).
% 4.24/4.47 tff(16528,plain,
% 4.24/4.47 (r(s(s(z)), z)),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[898, 16527])).
% 4.24/4.47 tff(16529,plain,
% 4.24/4.47 (~r(s(s(s(s(z)))), z)),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[9169, 16528, 12212, 16480])).
% 4.24/4.47 tff(16530,plain,
% 4.24/4.47 (~r(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[11671, 125, 135, 836, 270, 4539])).
% 4.24/4.47 tff(16531,plain,
% 4.24/4.47 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15830, 4539])).
% 4.24/4.47 tff(16532,plain,
% 4.24/4.47 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[5705, 16531])).
% 4.24/4.47 tff(16533,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16534,plain,
% 4.24/4.47 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16535,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[16534])).
% 4.24/4.47 tff(16536,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.24/4.47 inference(transitivity,[status(thm)],[16535, 16533])).
% 4.24/4.47 tff(16537,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(16538,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[16537, 16536])).
% 4.24/4.47 tff(16539,plain,
% 4.24/4.47 (~b(s(s(z)), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16538, 91, 76, 16532, 74, 72, 297])).
% 4.24/4.47 tff(16540,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[857, 16539, 16530])).
% 4.24/4.47 tff(16541,plain,((~r(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)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16542,plain,
% 4.24/4.47 (~b(s(s(s(s(z)))), z)),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16541, 16528, 76, 72, 15329, 135, 16480, 16272, 16434])).
% 4.24/4.47 tff(16543,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[314, 16542, 16529])).
% 4.24/4.47 tff(16544,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16545,plain,
% 4.24/4.47 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16544, 78, 135, 77, 81, 72])).
% 4.24/4.47 tff(16546,plain,
% 4.24/4.47 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[69, 16545])).
% 4.24/4.47 tff(16547,plain,
% 4.24/4.47 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15032, 16546, 135, 16272])).
% 4.24/4.47 tff(16548,plain,
% 4.24/4.47 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[542, 16547])).
% 4.24/4.47 tff(16549,plain,
% 4.24/4.47 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[6971, 16548, 16386, 16430, 81, 72])).
% 4.24/4.47 tff(16550,plain,
% 4.24/4.47 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[336, 16549])).
% 4.24/4.47 tff(16551,plain,
% 4.24/4.47 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[8588, 16550, 135, 16272, 12212])).
% 4.24/4.47 tff(16552,plain,
% 4.24/4.47 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[1093, 16551])).
% 4.24/4.47 tff(16553,plain,
% 4.24/4.47 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[6914, 16550, 135, 16546])).
% 4.24/4.47 tff(16554,plain,
% 4.24/4.47 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[295, 16553])).
% 4.24/4.47 tff(16555,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15019, 16554, 16552, 72, 16548])).
% 4.24/4.47 tff(16556,plain,(b(z, s(s(s(s(z))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16557,plain,
% 4.24/4.47 (b(z, s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16556, 81, 135, 72, 77])).
% 4.24/4.47 tff(16558,plain,
% 4.24/4.47 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[677, 16557, 16258, 81])).
% 4.24/4.47 tff(16559,plain,
% 4.24/4.47 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[689, 16558])).
% 4.24/4.47 tff(16560,plain,
% 4.24/4.47 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15032, 204, 135, 270])).
% 4.24/4.47 tff(16561,plain,
% 4.24/4.47 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[542, 16560])).
% 4.24/4.47 tff(16562,plain,
% 4.24/4.47 (~b(s(z), s(s(s(s(s(z))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[8527, 16561, 72, 77, 16386])).
% 4.24/4.47 tff(16563,plain,
% 4.24/4.47 (r(s(z), s(s(s(s(s(z))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[163, 16562])).
% 4.24/4.47 tff(16564,plain,
% 4.24/4.47 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[7322, 16563, 135, 115, 204])).
% 4.24/4.47 tff(16565,plain,
% 4.24/4.47 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[295, 16564])).
% 4.24/4.47 tff(16566,plain,
% 4.24/4.47 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[4012, 16565, 77, 16561])).
% 4.24/4.47 tff(16567,plain,
% 4.24/4.47 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[246, 16566])).
% 4.24/4.47 tff(16568,plain,
% 4.24/4.47 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15019, 16565, 72, 16561])).
% 4.24/4.47 tff(16569,plain,
% 4.24/4.47 (r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[1093, 16568])).
% 4.24/4.47 tff(16570,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15332, 16569, 16567, 71])).
% 4.24/4.47 tff(16571,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16572,plain,
% 4.24/4.47 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16571, 16278, 72, 77, 135, 16559, 16272])).
% 4.24/4.47 tff(16573,plain,
% 4.24/4.47 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[69, 16572])).
% 4.24/4.47 tff(16574,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16575,plain,
% 4.24/4.47 (((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16576,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 4.24/4.47 inference(monotonicity,[status(thm)],[16575])).
% 4.24/4.47 tff(16577,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.24/4.47 inference(transitivity,[status(thm)],[16576, 16574])).
% 4.24/4.47 tff(16578,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 4.24/4.47 inference(quant_inst,[status(thm)],[])).
% 4.24/4.47 tff(16579,plain,
% 4.24/4.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 4.24/4.47 inference(modus_ponens,[status(thm)],[16578, 16577])).
% 4.24/4.47 tff(16580,plain,
% 4.24/4.47 ($false),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16579, 91, 76, 178, 74, 349, 298])).
% 4.24/4.47 tff(16581,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(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(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.47 tff(16582,plain,
% 4.24/4.47 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[16581, 74, 178, 76, 349])).
% 4.24/4.47 tff(16583,plain,
% 4.24/4.47 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[246, 16582])).
% 4.24/4.47 tff(16584,plain,
% 4.24/4.47 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[15332, 16583, 71])).
% 4.24/4.47 tff(16585,plain,
% 4.24/4.47 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.47 inference(unit_resolution,[status(thm)],[1093, 16584])).
% 4.24/4.47 tff(16586,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16587,plain,
% 4.24/4.47 (((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.24/4.47 inference(rewrite,[status(thm)],[])).
% 4.24/4.47 tff(16588,plain,
% 4.24/4.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[16587])).
% 4.24/4.48 tff(16589,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.24/4.48 inference(transitivity,[status(thm)],[16588, 16586])).
% 4.24/4.48 tff(16590,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(16591,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 4.24/4.48 tff(16592,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16591, 91, 76, 178, 16585, 74])).
% 4.24/4.48 tff(16593,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16594,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16593, 16573, 16557, 16278, 16258])).
% 4.24/4.48 tff(16595,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[314, 16594])).
% 4.24/4.48 tff(16596,plain,
% 4.24/4.48 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[15332, 215, 71])).
% 4.24/4.48 tff(16597,plain,
% 4.24/4.48 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[246, 16596])).
% 4.24/4.48 tff(16598,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[15172, 215, 1020])).
% 4.24/4.48 tff(16599,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[336, 16598])).
% 4.24/4.48 tff(16600,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[5050, 16599, 16597, 349, 348])).
% 4.24/4.48 tff(16601,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16602,plain,
% 4.24/4.48 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16601, 16595, 16386, 16258, 16278])).
% 4.24/4.48 tff(16603,plain,
% 4.24/4.48 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1093, 16602])).
% 4.24/4.48 tff(16604,plain,
% 4.24/4.48 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[5514, 16603, 77, 16386, 81])).
% 4.24/4.48 tff(16605,plain,
% 4.24/4.48 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[246, 16604])).
% 4.24/4.48 tff(16606,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[14869, 16603, 16557, 16573])).
% 4.24/4.48 tff(16607,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[336, 16606])).
% 4.24/4.48 tff(16608,plain,
% 4.24/4.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16609,plain,
% 4.24/4.48 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), 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)))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16610,plain,
% 4.24/4.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), 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)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[16609])).
% 4.24/4.48 tff(16611,plain,
% 4.24/4.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), 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)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(transitivity,[status(thm)],[16610, 16608])).
% 4.24/4.48 tff(16612,plain,
% 4.24/4.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), 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)))), s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(16613,plain,
% 4.24/4.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[16612, 16611])).
% 4.24/4.48 tff(16614,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16613, 125, 14848, 16595, 16607, 16605, 16559])).
% 4.24/4.48 tff(16615,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16616,plain,
% 4.24/4.48 (~b(z, s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16615, 77, 72, 135])).
% 4.24/4.48 tff(16617,plain,
% 4.24/4.48 (r(z, s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[113, 16616])).
% 4.24/4.48 tff(16618,plain,
% 4.24/4.48 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[15209, 16426, 16617, 16414, 16418])).
% 4.24/4.48 tff(16619,plain,
% 4.24/4.48 (b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1093, 16618])).
% 4.24/4.48 tff(16620,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[15019, 16619, 16428, 72, 16416])).
% 4.24/4.48 tff(16621,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16622,plain,
% 4.24/4.48 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16621, 77, 135, 72])).
% 4.24/4.48 tff(16623,plain,
% 4.24/4.48 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[69, 16622])).
% 4.24/4.48 tff(16624,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[6871, 16623, 16258, 16386])).
% 4.24/4.48 tff(16625,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[689, 16624])).
% 4.24/4.48 tff(16626,plain,
% 4.24/4.48 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11437, 125, 14848, 16617, 16625])).
% 4.24/4.48 tff(16627,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16626, 1020])).
% 4.24/4.48 tff(16628,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[336, 16627])).
% 4.24/4.48 tff(16629,plain,
% 4.24/4.48 (~r(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11984, 1020, 77, 16386, 16617, 135, 72, 16623])).
% 4.24/4.48 tff(16630,plain,
% 4.24/4.48 (b(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[174, 16629])).
% 4.24/4.48 tff(16631,plain,
% 4.24/4.48 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1293, 1020, 16617, 16625])).
% 4.24/4.48 tff(16632,plain,
% 4.24/4.48 (b(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[427, 16631])).
% 4.24/4.48 tff(16633,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16634,plain,
% 4.24/4.48 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16635,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[16634])).
% 4.24/4.48 tff(16636,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.24/4.48 inference(transitivity,[status(thm)],[16635, 16633])).
% 4.24/4.48 tff(16637,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(16638,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[16637, 16636])).
% 4.24/4.48 tff(16639,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16638, 91, 16623, 16632, 16630, 16628, 16258])).
% 4.24/4.48 tff(16640,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16641,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16640, 77, 135, 72])).
% 4.24/4.48 tff(16642,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[314, 16641])).
% 4.24/4.48 tff(16643,plain,
% 4.24/4.48 (~b(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11231, 16642, 16258, 77, 16386, 16623])).
% 4.24/4.48 tff(16644,plain,
% 4.24/4.48 (r(z, s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[267, 16643])).
% 4.24/4.48 tff(16645,plain,
% 4.24/4.48 ((~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[11427, 125, 16617, 135, 16625])).
% 4.24/4.48 tff(16646,plain,
% 4.24/4.48 (~r(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16645, 16644])).
% 4.24/4.48 tff(16647,plain,
% 4.24/4.48 (b(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[174, 16646])).
% 4.24/4.48 tff(16648,plain,
% 4.24/4.48 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16593, 16647, 16623, 16642, 16258])).
% 4.24/4.48 tff(16649,plain,
% 4.24/4.48 (~b(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[597, 16647, 16258, 16642])).
% 4.24/4.48 tff(16650,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[427, 16649, 16648])).
% 4.24/4.48 tff(16651,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16652,plain,
% 4.24/4.48 (~b(s(s(s(s(s(z))))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16651, 135, 72])).
% 4.24/4.48 tff(16653,plain,
% 4.24/4.48 (r(s(s(s(s(s(z))))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[394, 16652])).
% 4.24/4.48 tff(16654,plain,
% 4.24/4.48 (~r(z, s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16333, 1020, 203, 204])).
% 4.24/4.48 tff(16655,plain,
% 4.24/4.48 (b(z, s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[113, 16654])).
% 4.24/4.48 tff(16656,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1182, 16390, 72, 429])).
% 4.24/4.48 tff(16657,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[201, 16656])).
% 4.24/4.48 tff(16658,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[677, 16390, 16655, 349, 669])).
% 4.24/4.48 tff(16659,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16660,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16659, 1020, 16258, 204, 203])).
% 4.24/4.48 tff(16661,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[689, 16660])).
% 4.24/4.48 tff(16662,plain,
% 4.24/4.48 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[15545, 16661, 203, 204])).
% 4.24/4.48 tff(16663,plain,
% 4.24/4.48 (b(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[427, 16662])).
% 4.24/4.48 tff(16664,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[6328, 16663, 16657, 410, 72, 16390, 16655])).
% 4.24/4.48 tff(16665,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16666,plain,
% 4.24/4.48 (~r(s(s(s(s(z)))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16665, 429, 72, 203, 204, 16653])).
% 4.24/4.48 tff(16667,plain,
% 4.24/4.48 (b(s(s(s(s(z)))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[314, 16666])).
% 4.24/4.48 tff(16668,plain,
% 4.24/4.48 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[4313, 125, 16653, 203, 204, 135])).
% 4.24/4.48 tff(16669,plain,
% 4.24/4.48 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[542, 16668])).
% 4.24/4.48 tff(16670,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16671,plain,
% 4.24/4.48 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16672,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))))),
% 4.24/4.48 inference(monotonicity,[status(thm)],[16671])).
% 4.24/4.48 tff(16673,plain,
% 4.24/4.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)))),
% 4.24/4.48 inference(transitivity,[status(thm)],[16672, 16670])).
% 4.24/4.48 tff(16674,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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)))))))))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(16675,plain,
% 4.24/4.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))),
% 4.24/4.48 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 4.24/4.48 tff(16676,plain,
% 4.24/4.48 ($false),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16675, 91, 429, 1073, 72, 526])).
% 4.24/4.48 tff(16677,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.48 tff(16678,plain,
% 4.24/4.48 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16677, 429, 72, 16669])).
% 4.24/4.48 tff(16679,plain,
% 4.24/4.48 (r(z, s(s(s(s(s(s(z)))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[1093, 16678])).
% 4.24/4.48 tff(16680,plain,
% 4.24/4.48 (~b(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[8578, 16667, 72, 429])).
% 4.24/4.48 tff(16681,plain,
% 4.24/4.48 (r(s(s(s(s(z)))), s(z))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[201, 16680])).
% 4.24/4.48 tff(16682,plain,
% 4.24/4.48 ((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~r(z, s(s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[4090, 14848])).
% 4.24/4.48 tff(16683,plain,
% 4.24/4.48 (~b(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[16682, 16681, 72, 16653, 16679, 203, 204, 16667])).
% 4.24/4.48 tff(16684,plain,
% 4.24/4.48 (r(z, s(s(s(s(z)))))),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[174, 16683])).
% 4.24/4.48 tff(16685,plain,
% 4.24/4.48 (~r(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[15349, 16684, 203, 204])).
% 4.24/4.48 tff(16686,plain,
% 4.24/4.48 (b(s(s(s(s(s(z))))), z)),
% 4.24/4.48 inference(unit_resolution,[status(thm)],[427, 16685])).
% 4.24/4.48 tff(16687,plain,
% 4.24/4.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16688,plain,
% 4.24/4.48 (((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(rewrite,[status(thm)],[])).
% 4.24/4.48 tff(16689,plain,
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% 4.24/4.48 inference(monotonicity,[status(thm)],[16688])).
% 4.24/4.48 tff(16690,plain,
% 4.24/4.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.24/4.48 inference(transitivity,[status(thm)],[16689, 16687])).
% 4.24/4.48 tff(16691,plain,
% 4.24/4.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 4.24/4.48 inference(quant_inst,[status(thm)],[])).
% 4.24/4.48 tff(16692,plain,
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% 4.24/4.49 inference(modus_ponens,[status(thm)],[16691, 16690])).
% 4.24/4.49 tff(16693,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16692, 125, 765, 203, 204, 80, 115])).
% 4.24/4.49 tff(16694,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(16695,plain,
% 4.24/4.49 ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16694, 14848])).
% 4.24/4.49 tff(16696,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16695, 16684, 203, 204])).
% 4.24/4.49 tff(16697,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[689, 16696])).
% 4.24/4.49 tff(16698,plain,
% 4.24/4.49 (~b(z, s(s(s(s(s(z))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[9115, 16697, 16686, 16667])).
% 4.24/4.49 tff(16699,plain,
% 4.24/4.49 (r(z, s(s(s(s(s(z))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[113, 16698])).
% 4.24/4.49 tff(16700,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[10394, 3403, 204, 215, 80])).
% 4.24/4.49 tff(16701,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[938, 16700])).
% 4.24/4.49 tff(16702,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[8622, 80, 215, 204])).
% 4.24/4.49 tff(16703,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[336, 16702])).
% 4.24/4.49 tff(16704,plain,
% 4.24/4.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16705,plain,
% 4.24/4.49 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16706,plain,
% 4.24/4.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[16705])).
% 4.24/4.49 tff(16707,plain,
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% 4.24/4.49 inference(transitivity,[status(thm)],[16706, 16704])).
% 4.24/4.49 tff(16708,plain,
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% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(16709,plain,
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% 4.24/4.49 inference(modus_ponens,[status(thm)],[16708, 16707])).
% 4.24/4.49 tff(16710,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16709, 125, 3403, 75, 203, 215, 4830])).
% 4.24/4.49 tff(16711,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(16712,plain,
% 4.24/4.49 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16711, 3403, 75, 203, 215])).
% 4.24/4.49 tff(16713,plain,
% 4.24/4.49 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[5101, 16712])).
% 4.24/4.49 tff(16714,plain,
% 4.24/4.49 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[7141, 16713, 349, 16703, 16701])).
% 4.24/4.49 tff(16715,plain,
% 4.24/4.49 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[4476, 16714])).
% 4.24/4.49 tff(16716,plain,
% 4.24/4.49 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[14711, 3403, 204, 215, 80])).
% 4.24/4.49 tff(16717,plain,
% 4.24/4.49 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[3164, 16716])).
% 4.24/4.49 tff(16718,plain,
% 4.24/4.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16719,plain,
% 4.24/4.49 (((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16720,plain,
% 4.24/4.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[16719])).
% 4.24/4.49 tff(16721,plain,
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% 4.24/4.49 inference(transitivity,[status(thm)],[16720, 16718])).
% 4.24/4.49 tff(16722,plain,
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% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(16723,plain,
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% 4.24/4.49 inference(modus_ponens,[status(thm)],[16722, 16721])).
% 4.24/4.49 tff(16724,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16723, 125, 3403, 14848, 204, 16717, 16715])).
% 4.24/4.49 tff(16725,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(16726,plain,
% 4.24/4.49 (~r(z, s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16725, 16699, 16258, 204, 203, 16679, 16684])).
% 4.24/4.49 tff(16727,plain,
% 4.24/4.49 (b(z, s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[3400, 16726])).
% 4.24/4.49 tff(16728,plain,
% 4.24/4.49 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[9559, 3382, 74, 924])).
% 4.24/4.49 tff(16729,plain,
% 4.24/4.49 (r(s(s(z)), s(s(s(s(z)))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[4476, 16728])).
% 4.24/4.49 tff(16730,plain,
% 4.24/4.49 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[10246, 3382, 74, 924])).
% 4.24/4.49 tff(16731,plain,
% 4.24/4.49 (r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[938, 16730])).
% 4.24/4.49 tff(16732,plain,
% 4.24/4.49 (~b(s(z), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[15139, 3382, 72, 924])).
% 4.24/4.49 tff(16733,plain,
% 4.24/4.49 (r(s(z), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1004, 16732])).
% 4.24/4.49 tff(16734,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[4555, 16733, 16731, 135, 16729])).
% 4.24/4.49 tff(16735,plain,((~b(z, s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(16736,plain,
% 4.24/4.49 (~b(s(s(z)), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16735, 16727, 72, 135, 16667])).
% 4.24/4.49 tff(16737,plain,
% 4.24/4.49 (r(s(s(z)), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[898, 16736])).
% 4.24/4.49 tff(16738,plain,
% 4.24/4.49 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[877, 125, 14848, 16679, 16737])).
% 4.24/4.49 tff(16739,plain,
% 4.24/4.49 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[5705, 16738])).
% 4.24/4.49 tff(16740,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[8622, 16684, 16679, 204])).
% 4.24/4.49 tff(16741,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[336, 16740])).
% 4.24/4.49 tff(16742,plain,
% 4.24/4.49 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[15823, 125, 14848, 16699, 203, 16737])).
% 4.24/4.49 tff(16743,plain,
% 4.24/4.49 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[3164, 16742])).
% 4.24/4.49 tff(16744,plain,
% 4.24/4.49 (~b(s(s(z)), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16735, 3382, 72, 135, 74])).
% 4.24/4.49 tff(16745,plain,
% 4.24/4.49 (r(s(s(z)), z)),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[898, 16744])).
% 4.24/4.49 tff(16746,plain,
% 4.24/4.49 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[15823, 125, 14848, 75, 203, 16745])).
% 4.24/4.49 tff(16747,plain,
% 4.24/4.49 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[3164, 16746])).
% 4.24/4.49 tff(16748,plain,
% 4.24/4.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[6914, 269, 135, 204])).
% 4.24/4.49 tff(16749,plain,
% 4.24/4.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[336, 16748])).
% 4.24/4.49 tff(16750,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16751,plain,
% 4.24/4.49 (((~b(s(z), s(s(z)))) | (~b(z, s(s(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), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16752,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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)))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[16751])).
% 4.24/4.49 tff(16753,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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))))),
% 4.24/4.49 inference(transitivity,[status(thm)],[16752, 16750])).
% 4.24/4.49 tff(16754,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(16755,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 4.24/4.49 tff(16756,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16755, 91, 3382, 4925, 72, 3451])).
% 4.24/4.49 tff(16757,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(16758,plain,
% 4.24/4.49 (~b(s(s(z)), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16757, 4925, 3382, 72])).
% 4.24/4.49 tff(16759,plain,
% 4.24/4.49 (r(s(s(z)), s(z))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[857, 16758])).
% 4.24/4.49 tff(16760,plain,
% 4.24/4.49 ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[11324, 125, 14848, 836, 269])).
% 4.24/4.49 tff(16761,plain,
% 4.24/4.49 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16760, 16759])).
% 4.24/4.49 tff(16762,plain,
% 4.24/4.49 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[5705, 16761])).
% 4.24/4.49 tff(16763,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16764,plain,
% 4.24/4.49 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(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), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16765,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(z)))) | (~b(s(s(z)), s(s(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(X1, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z))))),
% 4.24/4.49 inference(monotonicity,[status(thm)],[16764])).
% 4.24/4.49 tff(16766,plain,
% 4.24/4.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(z)))) | (~b(s(s(z)), s(s(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(X1, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)))),
% 4.24/4.49 inference(transitivity,[status(thm)],[16765, 16763])).
% 4.24/4.49 tff(16767,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 4.24/4.49 inference(quant_inst,[status(thm)],[])).
% 4.24/4.49 tff(16768,plain,
% 4.24/4.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z))),
% 4.24/4.49 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 4.24/4.49 tff(16769,plain,
% 4.24/4.49 ($false),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16768, 91, 3382, 3151, 16762, 4925, 72])).
% 4.24/4.49 tff(16770,plain,((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.49 tff(16771,plain,
% 4.24/4.49 (~b(s(z), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[16770, 3382, 16747, 72, 16745, 269])).
% 4.24/4.49 tff(16772,plain,
% 4.24/4.49 (r(s(z), s(s(z)))),
% 4.24/4.49 inference(unit_resolution,[status(thm)],[1004, 16771])).
% 4.24/4.49 tff(16773,plain,
% 4.24/4.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16774,plain,
% 4.24/4.49 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.49 inference(rewrite,[status(thm)],[])).
% 4.24/4.49 tff(16775,plain,
% 4.24/4.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 4.24/4.50 inference(monotonicity,[status(thm)],[16774])).
% 4.24/4.50 tff(16776,plain,
% 4.24/4.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.50 inference(transitivity,[status(thm)],[16775, 16773])).
% 4.24/4.50 tff(16777,plain,
% 4.24/4.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 4.24/4.50 inference(quant_inst,[status(thm)],[])).
% 4.24/4.50 tff(16778,plain,
% 4.24/4.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 4.24/4.50 inference(modus_ponens,[status(thm)],[16777, 16776])).
% 4.24/4.50 tff(16779,plain,
% 4.24/4.50 ($false),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[16778, 125, 204, 3102, 135, 4499, 269])).
% 4.24/4.50 tff(16780,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.50 tff(16781,plain,
% 4.24/4.50 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[16780, 16772, 204, 135, 269])).
% 4.24/4.50 tff(16782,plain,
% 4.24/4.50 (b(s(s(s(s(z)))), s(s(z)))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[938, 16781])).
% 4.24/4.50 tff(16783,plain,
% 4.24/4.50 ($false),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[14709, 91, 3151, 318, 5148, 923])).
% 4.24/4.50 tff(16784,plain,((~b(s(s(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(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.24/4.50 tff(16785,plain,
% 4.24/4.50 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[16784, 16782, 16749, 16747])).
% 4.24/4.50 tff(16786,plain,
% 4.24/4.50 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.24/4.50 inference(unit_resolution,[status(thm)],[5705, 16785])).
% 4.24/4.50 tff(16787,plain,
% 4.24/4.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.50 inference(rewrite,[status(thm)],[])).
% 4.24/4.50 tff(16788,plain,
% 4.24/4.50 (((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z))))) <=> ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.24/4.50 inference(rewrite,[status(thm)],[])).
% 4.24/4.50 tff(16789,plain,
% 4.24/4.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[16788])).
% 4.34/4.50 tff(16790,plain,
% 4.34/4.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z)))))),
% 4.34/4.50 inference(transitivity,[status(thm)],[16789, 16787])).
% 4.34/4.50 tff(16791,plain,
% 4.34/4.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 4.34/4.50 inference(quant_inst,[status(thm)],[])).
% 4.34/4.50 tff(16792,plain,
% 4.34/4.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(z))))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[16791, 16790])).
% 4.34/4.50 tff(16793,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16792, 125, 204, 135, 16772, 16786, 269])).
% 4.34/4.50 tff(16794,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16795,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16794, 16727, 135, 204, 72, 16699, 203, 16667])).
% 4.34/4.50 tff(16796,plain,
% 4.34/4.50 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[295, 16795])).
% 4.34/4.50 tff(16797,plain,
% 4.34/4.50 (~b(s(z), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[5298, 16739, 16796, 16743])).
% 4.34/4.50 tff(16798,plain,
% 4.34/4.50 (r(s(z), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1004, 16797])).
% 4.34/4.50 tff(16799,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16784, 16739, 16741, 16743])).
% 4.34/4.50 tff(16800,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[938, 16799])).
% 4.34/4.50 tff(16801,plain,
% 4.34/4.50 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4555, 16800, 135, 16798])).
% 4.34/4.50 tff(16802,plain,
% 4.34/4.50 (b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4476, 16801])).
% 4.34/4.50 tff(16803,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z)))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(16804,plain,
% 4.34/4.50 (((~b(s(s(z)), s(s(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)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z)))))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(16805,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(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)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z))))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[16804])).
% 4.34/4.50 tff(16806,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(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)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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(z)))))),
% 4.34/4.50 inference(transitivity,[status(thm)],[16805, 16803])).
% 4.34/4.50 tff(16807,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(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)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(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(16808,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[16807, 16806])).
% 4.34/4.50 tff(16809,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16808, 91, 16802, 16743, 16741, 16739])).
% 4.34/4.50 tff(16810,plain,((~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16811,plain,
% 4.34/4.50 (~b(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16810, 70, 203, 135, 72])).
% 4.34/4.50 tff(16812,plain,
% 4.34/4.50 (r(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[267, 16811])).
% 4.34/4.50 tff(16813,plain,
% 4.34/4.50 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4313, 125, 16653, 203, 70, 135])).
% 4.34/4.50 tff(16814,plain,
% 4.34/4.50 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[542, 16813])).
% 4.34/4.50 tff(16815,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[6914, 347, 135, 70])).
% 4.34/4.50 tff(16816,plain,
% 4.34/4.50 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[295, 16815])).
% 4.34/4.50 tff(16817,plain,
% 4.34/4.50 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15019, 16816, 72, 526])).
% 4.34/4.50 tff(16818,plain,
% 4.34/4.50 (r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1093, 16817])).
% 4.34/4.50 tff(16819,plain,
% 4.34/4.50 (~r(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[8588, 16818, 135, 270, 347])).
% 4.34/4.50 tff(16820,plain,
% 4.34/4.50 ($false),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4405, 16819, 16818, 1, 347, 16816])).
% 4.34/4.50 tff(16821,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16822,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16821, 1, 135, 16812, 72, 16814])).
% 4.34/4.50 tff(16823,plain,
% 4.34/4.50 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[336, 16822])).
% 4.34/4.50 tff(16824,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16659, 669, 349, 204, 203])).
% 4.34/4.50 tff(16825,plain,
% 4.34/4.50 (b(s(s(s(s(z)))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[314, 16824])).
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[9115, 16825, 81, 669])).
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[677, 669, 349, 81])).
% 4.34/4.50 tff(16828,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[174, 16827])).
% 4.34/4.50 tff(16829,plain,
% 4.34/4.50 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15349, 16828, 203, 204])).
% 4.34/4.50 tff(16830,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[427, 16829, 16826])).
% 4.34/4.50 tff(16831,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16832,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16831, 81, 204, 203, 16258])).
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% 4.34/4.50 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[689, 16832])).
% 4.34/4.50 tff(16834,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[16695, 16833, 203, 204])).
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% 4.34/4.50 (b(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[174, 16834])).
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% 4.34/4.50 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15545, 16833, 203, 204])).
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% 4.34/4.50 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[427, 16836])).
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[6328, 16837, 16653, 72, 16835, 81])).
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% 4.34/4.50 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15545, 115, 203, 204])).
% 4.34/4.50 tff(16840,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[427, 16839])).
% 4.34/4.50 tff(16841,plain,
% 4.34/4.50 ((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[11535, 91, 81, 72, 16258])).
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[16841, 8513, 16840])).
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% 4.34/4.50 tff(16844,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16843, 16833, 72, 135, 204, 81, 203])).
% 4.34/4.50 tff(16845,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[295, 16844])).
% 4.34/4.50 tff(16846,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[2955, 16845, 318, 16669])).
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[201, 16846, 16838])).
% 4.34/4.50 tff(16848,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16849,plain,
% 4.34/4.50 (~b(z, s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16848, 16823, 72, 135, 70, 203])).
% 4.34/4.50 tff(16850,plain,
% 4.34/4.50 (r(z, s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[113, 16849])).
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% 4.34/4.50 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15422, 16850, 203])).
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% 4.34/4.50 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[427, 16851])).
% 4.34/4.50 tff(16853,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16333, 16850, 203, 70])).
% 4.34/4.50 tff(16854,plain,
% 4.34/4.50 (b(s(s(s(s(z)))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[314, 16853])).
% 4.34/4.50 tff(16855,plain,
% 4.34/4.50 (~b(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[597, 16854, 16258, 16852])).
% 4.34/4.50 tff(16856,plain,
% 4.34/4.50 (r(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[174, 16855])).
% 4.34/4.50 tff(16857,plain,
% 4.34/4.50 ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4044, 125, 16653, 203, 16812])).
% 4.34/4.50 tff(16858,plain,
% 4.34/4.50 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16857, 16850])).
% 4.34/4.50 tff(16859,plain,
% 4.34/4.50 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1093, 16858])).
% 4.34/4.50 tff(16860,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[5420, 16859, 16258, 16852, 16814, 16854])).
% 4.34/4.50 tff(16861,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[201, 16860])).
% 4.34/4.50 tff(16862,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[9665, 16861, 16856, 135, 16812])).
% 4.34/4.50 tff(16863,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16864,plain,
% 4.34/4.50 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16863, 203, 135, 72])).
% 4.34/4.50 tff(16865,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[677, 81, 16258, 178])).
% 4.34/4.50 tff(16866,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[689, 16865])).
% 4.34/4.50 tff(16867,plain,
% 4.34/4.50 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4195, 347, 203, 16866])).
% 4.34/4.50 tff(16868,plain,
% 4.34/4.50 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[246, 16867])).
% 4.34/4.50 tff(16869,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16581, 16868, 16864, 178, 16258])).
% 4.34/4.50 tff(16870,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[314, 16869])).
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% 4.34/4.50 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15172, 16870, 347])).
% 4.34/4.50 tff(16872,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[1093, 16871])).
% 4.34/4.50 tff(16873,plain,
% 4.34/4.50 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[5459, 16870, 203, 347, 16866])).
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% 4.34/4.50 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[427, 16873])).
% 4.34/4.50 tff(16875,plain,
% 4.34/4.50 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16841, 16874])).
% 4.34/4.50 tff(16876,plain,
% 4.34/4.50 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[163, 16875])).
% 4.34/4.50 tff(16877,plain,
% 4.34/4.50 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4882, 16876, 16653, 203])).
% 4.34/4.50 tff(16878,plain,
% 4.34/4.50 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[542, 16877])).
% 4.34/4.50 tff(16879,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[6890, 16876, 203, 135, 347])).
% 4.34/4.50 tff(16880,plain,
% 4.34/4.50 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[295, 16879])).
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[15019, 16880, 16878, 72, 16872])).
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% 4.34/4.50 tff(16883,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16882, 81, 203, 135, 72, 178])).
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% 4.34/4.50 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[336, 16883])).
% 4.34/4.50 tff(16885,plain,
% 4.34/4.50 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[14869, 16884, 16864, 178])).
% 4.34/4.50 tff(16886,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[1093, 16885])).
% 4.34/4.50 tff(16887,plain,
% 4.34/4.50 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[5775, 16884, 16258, 16864])).
% 4.34/4.50 tff(16888,plain,
% 4.34/4.50 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[246, 16887])).
% 4.34/4.50 tff(16889,plain,
% 4.34/4.50 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15332, 16888, 16886])).
% 4.34/4.50 tff(16890,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[427, 16889])).
% 4.34/4.50 tff(16891,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[6328, 16890, 16653, 72, 178, 81])).
% 4.34/4.50 tff(16892,plain,
% 4.34/4.50 (b(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[201, 16891])).
% 4.34/4.50 tff(16893,plain,
% 4.34/4.50 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[4445, 16892, 16864, 16884])).
% 4.34/4.50 tff(16894,plain,
% 4.34/4.50 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16841, 16890])).
% 4.34/4.50 tff(16895,plain,
% 4.34/4.50 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[163, 16894])).
% 4.34/4.50 tff(16896,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[7805, 16895, 203, 16888])).
% 4.34/4.50 tff(16897,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[295, 16896, 16893])).
% 4.34/4.50 tff(16898,plain,((~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16899,plain,
% 4.34/4.50 (~b(z, s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16898, 178, 72, 203, 135])).
% 4.34/4.50 tff(16900,plain,
% 4.34/4.50 (r(z, s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[113, 16899])).
% 4.34/4.50 tff(16901,plain,
% 4.34/4.50 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15422, 16900, 203])).
% 4.34/4.50 tff(16902,plain,
% 4.34/4.50 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[427, 16901])).
% 4.34/4.50 tff(16903,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[6105, 16902, 16258, 178])).
% 4.34/4.50 tff(16904,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[689, 16903])).
% 4.34/4.50 tff(16905,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[597, 16902, 16258, 178])).
% 4.34/4.50 tff(16906,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), z)),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[314, 16905])).
% 4.34/4.50 tff(16907,plain,
% 4.34/4.50 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[5909, 16906, 16653, 16900, 16904])).
% 4.34/4.50 tff(16908,plain,
% 4.34/4.50 (b(s(s(s(s(z)))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[201, 16907])).
% 4.34/4.50 tff(16909,plain,
% 4.34/4.50 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15689, 16900, 16653, 203])).
% 4.34/4.50 tff(16910,plain,
% 4.34/4.50 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[542, 16909])).
% 4.34/4.50 tff(16911,plain,
% 4.34/4.50 (~b(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[1182, 16908, 72, 178])).
% 4.34/4.50 tff(16912,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[267, 16911])).
% 4.34/4.50 tff(16913,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[511, 16912, 16653, 16900])).
% 4.34/4.50 tff(16914,plain,
% 4.34/4.50 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[163, 16913])).
% 4.34/4.50 tff(16915,plain,
% 4.34/4.50 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[12179, 16914, 16258, 16864, 16910, 16908])).
% 4.34/4.50 tff(16916,plain,
% 4.34/4.50 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[336, 16915])).
% 4.34/4.50 tff(16917,plain,
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% 4.34/4.50 inference(unit_resolution,[status(thm)],[11437, 125, 14848, 16900, 16906, 16916, 16904])).
% 4.34/4.50 tff(16918,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.50 tff(16919,plain,
% 4.34/4.50 (~b(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[16918, 203, 72, 135])).
% 4.34/4.50 tff(16920,plain,
% 4.34/4.50 (r(z, s(s(s(s(z)))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[174, 16919])).
% 4.34/4.50 tff(16921,plain,
% 4.34/4.50 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[14097, 16919, 16864])).
% 4.34/4.50 tff(16922,plain,
% 4.34/4.50 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[295, 16921])).
% 4.34/4.50 tff(16923,plain,
% 4.34/4.50 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15019, 1073, 72, 297])).
% 4.34/4.50 tff(16924,plain,
% 4.34/4.50 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[542, 16923])).
% 4.34/4.50 tff(16925,plain,
% 4.34/4.50 (~r(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[15425, 16924, 203, 71])).
% 4.34/4.50 tff(16926,plain,
% 4.34/4.50 (b(z, s(z))),
% 4.34/4.50 inference(unit_resolution,[status(thm)],[267, 16925])).
% 4.34/4.50 tff(16927,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(16928,plain,
% 4.34/4.50 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.50 inference(rewrite,[status(thm)],[])).
% 4.34/4.50 tff(16929,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 4.34/4.50 inference(monotonicity,[status(thm)],[16928])).
% 4.34/4.50 tff(16930,plain,
% 4.34/4.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.50 inference(transitivity,[status(thm)],[16929, 16927])).
% 4.34/4.50 tff(16931,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.50 inference(quant_inst,[status(thm)],[])).
% 4.34/4.50 tff(16932,plain,
% 4.34/4.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 4.34/4.50 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 4.34/4.50 tff(16933,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16932, 91, 76, 81, 1073, 669, 72, 297])).
% 4.34/4.51 tff(16934,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(16935,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16934, 1073, 16306, 76, 72, 297])).
% 4.34/4.51 tff(16936,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 16935])).
% 4.34/4.51 tff(16937,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[10171, 16936, 410, 203, 347])).
% 4.34/4.51 tff(16938,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[201, 16937])).
% 4.34/4.51 tff(16939,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5459, 16936, 203, 71, 347])).
% 4.34/4.51 tff(16940,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[314, 16939])).
% 4.34/4.51 tff(16941,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8578, 16940, 16938, 72, 16926])).
% 4.34/4.51 tff(16942,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(16943,plain,
% 4.34/4.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16942, 347, 203, 71, 72, 16653, 16864, 16922])).
% 4.34/4.51 tff(16944,plain,
% 4.34/4.51 (r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1093, 16943])).
% 4.34/4.51 tff(16945,plain,
% 4.34/4.51 (~r(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8588, 16944, 135, 16920, 347])).
% 4.34/4.51 tff(16946,plain,
% 4.34/4.51 (b(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[267, 16945])).
% 4.34/4.51 tff(16947,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[15172, 16944, 347])).
% 4.34/4.51 tff(16948,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[314, 16947])).
% 4.34/4.51 tff(16949,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8578, 16948, 72, 16946])).
% 4.34/4.51 tff(16950,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[201, 16949])).
% 4.34/4.51 tff(16951,plain,
% 4.34/4.51 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[15332, 16944, 71])).
% 4.34/4.51 tff(16952,plain,
% 4.34/4.51 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[246, 16951])).
% 4.34/4.51 tff(16953,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[6126, 16952, 16258, 16864])).
% 4.34/4.51 tff(16954,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 16953])).
% 4.34/4.51 tff(16955,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[10171, 16954, 16950, 16653, 203, 347])).
% 4.34/4.51 tff(16956,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(16957,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16956, 71, 72, 203, 135])).
% 4.34/4.51 tff(16958,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[336, 16957])).
% 4.34/4.51 tff(16959,plain,
% 4.34/4.51 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5775, 16958, 16258, 16864])).
% 4.34/4.51 tff(16960,plain,
% 4.34/4.51 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[246, 16959])).
% 4.34/4.51 tff(16961,plain,
% 4.34/4.51 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[15332, 16960, 71])).
% 4.34/4.51 tff(16962,plain,
% 4.34/4.51 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1093, 16961])).
% 4.34/4.51 tff(16963,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(16964,plain,
% 4.34/4.51 (((~b(s(s(s(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(s(s(s(z)))))) | (~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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(16965,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[16964])).
% 4.34/4.51 tff(16966,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.51 inference(transitivity,[status(thm)],[16965, 16963])).
% 4.34/4.51 tff(16967,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(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(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(16968,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[16967, 16966])).
% 4.34/4.51 tff(16969,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16968, 91, 16864, 16962, 16958, 72, 16922])).
% 4.34/4.51 tff(16970,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(16971,plain,
% 4.34/4.51 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16970, 203, 72, 135])).
% 4.34/4.51 tff(16972,plain,
% 4.34/4.51 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[427, 16971])).
% 4.34/4.51 tff(16973,plain,
% 4.34/4.51 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[15689, 545, 16653, 203])).
% 4.34/4.51 tff(16974,plain,
% 4.34/4.51 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[113, 16973])).
% 4.34/4.51 tff(16975,plain,
% 4.34/4.51 (~r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[4882, 545, 16653, 203])).
% 4.34/4.51 tff(16976,plain,
% 4.34/4.51 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[163, 16975])).
% 4.34/4.51 tff(16977,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[12143, 16976, 16974, 16864, 135, 16920, 72, 16972])).
% 4.34/4.51 tff(16978,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(16979,plain,
% 4.34/4.51 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16978, 203, 72, 135])).
% 4.34/4.51 tff(16980,plain,
% 4.34/4.51 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[542, 16979])).
% 4.34/4.51 tff(16981,plain,
% 4.34/4.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[15019, 16980, 72, 16922])).
% 4.34/4.51 tff(16982,plain,
% 4.34/4.51 (r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1093, 16981])).
% 4.34/4.51 tff(16983,plain,
% 4.34/4.51 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8766, 16982, 203, 16864, 16920])).
% 4.34/4.51 tff(16984,plain,
% 4.34/4.51 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[113, 16983])).
% 4.34/4.51 tff(16985,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[15172, 347, 16982])).
% 4.34/4.51 tff(16986,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[314, 16985])).
% 4.34/4.51 tff(16987,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[9115, 16986, 16972, 16984])).
% 4.34/4.51 tff(16988,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 16987])).
% 4.34/4.51 tff(16989,plain,
% 4.34/4.51 (~r(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8588, 347, 135, 16920, 16982])).
% 4.34/4.51 tff(16990,plain,
% 4.34/4.51 (b(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[267, 16989])).
% 4.34/4.51 tff(16991,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8578, 16986, 72, 16990])).
% 4.34/4.51 tff(16992,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[201, 16991])).
% 4.34/4.51 tff(16993,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[10171, 16992, 16988, 16653, 203, 347])).
% 4.34/4.51 tff(16994,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(16995,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16994, 203, 72, 135])).
% 4.34/4.51 tff(16996,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[336, 16995])).
% 4.34/4.51 tff(16997,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[4445, 16996, 16864, 16922])).
% 4.34/4.51 tff(16998,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[201, 16997])).
% 4.34/4.51 tff(16999,plain,
% 4.34/4.51 (~r(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[9665, 16998, 135, 16920])).
% 4.34/4.51 tff(17000,plain,
% 4.34/4.51 (b(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[267, 16999])).
% 4.34/4.51 tff(17001,plain,
% 4.34/4.51 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5775, 16996, 16258, 16864])).
% 4.34/4.51 tff(17002,plain,
% 4.34/4.51 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[246, 17001])).
% 4.34/4.51 tff(17003,plain,
% 4.34/4.51 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5811, 17002, 16258, 16864, 16996])).
% 4.34/4.51 tff(17004,plain,
% 4.34/4.51 (r(s(s(z)), s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[4476, 17003])).
% 4.34/4.51 tff(17005,plain,
% 4.34/4.51 (~r(s(s(z)), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[9169, 4539, 80, 1020])).
% 4.34/4.51 tff(17006,plain,
% 4.34/4.51 (b(s(s(z)), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[898, 17005])).
% 4.34/4.51 tff(17007,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(17008,plain,
% 4.34/4.51 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(17009,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[17008])).
% 4.34/4.51 tff(17010,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.51 inference(transitivity,[status(thm)],[17009, 17007])).
% 4.34/4.51 tff(17011,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(17012,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 4.34/4.51 tff(17013,plain,
% 4.34/4.51 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[17012, 91, 17006, 79, 81, 349])).
% 4.34/4.51 tff(17014,plain,
% 4.34/4.51 ((s(s(z)) = s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[909, 64, 17013])).
% 4.34/4.51 tff(17015,plain,
% 4.34/4.51 (r(s(s(z)), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[17014, 786])).
% 4.34/4.51 tff(17016,plain,
% 4.34/4.51 (~r(s(s(z)), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[4986, 17015])).
% 4.34/4.51 tff(17017,plain,
% 4.34/4.51 (b(s(s(z)), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[857, 17016])).
% 4.34/4.51 tff(17018,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(17019,plain,
% 4.34/4.51 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.51 inference(rewrite,[status(thm)],[])).
% 4.34/4.51 tff(17020,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 4.34/4.51 inference(monotonicity,[status(thm)],[17019])).
% 4.34/4.51 tff(17021,plain,
% 4.34/4.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.51 inference(transitivity,[status(thm)],[17020, 17018])).
% 4.34/4.51 tff(17022,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 4.34/4.51 inference(quant_inst,[status(thm)],[])).
% 4.34/4.51 tff(17023,plain,
% 4.34/4.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 4.34/4.51 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 4.34/4.51 tff(17024,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[17023, 91, 17006, 429, 81, 72, 17017])).
% 4.34/4.51 tff(17025,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(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,[]))).
% 4.34/4.51 tff(17026,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[17025, 17004, 135, 72, 16920, 16972, 16653, 16258, 16984, 17000])).
% 4.34/4.51 tff(17027,plain,
% 4.34/4.51 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[12143, 16984, 16864, 135, 16920, 72, 16972])).
% 4.34/4.51 tff(17028,plain,
% 4.34/4.51 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[163, 17027])).
% 4.34/4.51 tff(17029,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[698, 16998, 16653, 17028])).
% 4.34/4.51 tff(17030,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 17029])).
% 4.34/4.51 tff(17031,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[10450, 17030, 16258, 16864, 16972, 16982, 16920])).
% 4.34/4.51 tff(17032,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[314, 17031, 17026])).
% 4.34/4.51 tff(17033,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(17034,plain,
% 4.34/4.51 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[17033, 135, 72])).
% 4.34/4.51 tff(17035,plain,
% 4.34/4.51 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1313, 17034])).
% 4.34/4.51 tff(17036,plain,
% 4.34/4.51 (~b(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[16677, 1073, 72, 16266])).
% 4.34/4.51 tff(17037,plain,
% 4.34/4.51 (r(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[267, 17036])).
% 4.34/4.51 tff(17038,plain,
% 4.34/4.51 (~b(z, s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1081, 1073, 17035, 79])).
% 4.34/4.51 tff(17039,plain,
% 4.34/4.51 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5484, 1073, 17035, 79])).
% 4.34/4.51 tff(17040,plain,
% 4.34/4.51 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[246, 17039])).
% 4.34/4.51 tff(17041,plain,
% 4.34/4.51 (~r(z, s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[14995, 1020, 70])).
% 4.34/4.51 tff(17042,plain,
% 4.34/4.51 (b(z, s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[174, 17041])).
% 4.34/4.51 tff(17043,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[6105, 17042, 349, 79])).
% 4.34/4.51 tff(17044,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5251, 17043, 1, 216, 101, 17041])).
% 4.34/4.51 tff(17045,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 17043])).
% 4.34/4.51 tff(17046,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5909, 17045, 410, 1203, 1020])).
% 4.34/4.51 tff(17047,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[201, 17046, 17044])).
% 4.34/4.51 tff(17048,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | b(z, s(s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(17049,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[17048, 17040, 1, 16653, 17038, 16258, 79])).
% 4.34/4.51 tff(17050,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), z)),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[314, 17049])).
% 4.34/4.51 tff(17051,plain,
% 4.34/4.51 (~b(z, s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[597, 17050, 16258, 79])).
% 4.34/4.51 tff(17052,plain,
% 4.34/4.51 (r(z, s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[174, 17051])).
% 4.34/4.51 tff(17053,plain,
% 4.34/4.51 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[5420, 17050, 16258, 16266, 1073, 79])).
% 4.34/4.51 tff(17054,plain,
% 4.34/4.51 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[201, 17053])).
% 4.34/4.51 tff(17055,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[9665, 17054, 17052, 135, 17037])).
% 4.34/4.51 tff(17056,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.51 tff(17057,plain,
% 4.34/4.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[17056, 79, 135, 1, 72])).
% 4.34/4.51 tff(17058,plain,
% 4.34/4.51 (r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1093, 17057])).
% 4.34/4.51 tff(17059,plain,
% 4.34/4.51 (~b(z, s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[597, 74, 16258, 79])).
% 4.34/4.51 tff(17060,plain,
% 4.34/4.51 (r(z, s(s(s(s(z)))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[174, 17059])).
% 4.34/4.51 tff(17061,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[10323, 17060, 75, 215, 204])).
% 4.34/4.51 tff(17062,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[689, 17061])).
% 4.34/4.51 tff(17063,plain,
% 4.34/4.51 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8622, 17060, 204, 215])).
% 4.34/4.51 tff(17064,plain,
% 4.34/4.51 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[336, 17063])).
% 4.34/4.51 tff(17065,plain,
% 4.34/4.51 (~b(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[8578, 177, 72, 74])).
% 4.34/4.51 tff(17066,plain,
% 4.34/4.51 (r(z, s(z))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[267, 17065])).
% 4.34/4.51 tff(17067,plain,
% 4.34/4.51 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[1322, 177, 348, 72, 79, 318])).
% 4.34/4.51 tff(17068,plain,
% 4.34/4.51 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[295, 17067])).
% 4.34/4.51 tff(17069,plain,
% 4.34/4.51 ($false),
% 4.34/4.51 inference(unit_resolution,[status(thm)],[7886, 17068, 17066, 410, 215, 75])).
% 4.34/4.51 tff(17070,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(17071,plain,
% 4.34/4.52 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17070, 17064, 215, 75, 348, 72, 79, 410, 74])).
% 4.34/4.52 tff(17072,plain,
% 4.34/4.52 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[201, 17071])).
% 4.34/4.52 tff(17073,plain,
% 4.34/4.52 (~r(z, s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[9825, 17072, 204, 215, 17060])).
% 4.34/4.52 tff(17074,plain,
% 4.34/4.52 (b(z, s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[267, 17073])).
% 4.34/4.52 tff(17075,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(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(z))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(17076,plain,
% 4.34/4.52 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(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(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(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(z))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(17077,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(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(z)))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[17076])).
% 4.34/4.52 tff(17078,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(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(z))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[17077, 17075])).
% 4.34/4.52 tff(17079,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.34/4.52 inference(quant_inst,[status(thm)],[])).
% 4.34/4.52 tff(17080,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[17079, 17078])).
% 4.34/4.52 tff(17081,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17080, 91, 79, 17074, 348, 17064, 17062, 526])).
% 4.34/4.52 tff(17082,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(17083,plain,
% 4.34/4.52 (~b(s(s(s(s(z)))), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17082, 1203, 348, 526, 70, 215, 79, 72, 410])).
% 4.34/4.52 tff(17084,plain,
% 4.34/4.52 (r(s(s(s(s(z)))), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[314, 17083])).
% 4.34/4.52 tff(17085,plain,
% 4.34/4.52 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17048, 17084, 1, 410, 101, 16258, 79])).
% 4.34/4.52 tff(17086,plain,
% 4.34/4.52 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[246, 17085])).
% 4.34/4.52 tff(17087,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[15172, 17084, 215])).
% 4.34/4.52 tff(17088,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[336, 17087])).
% 4.34/4.52 tff(17089,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[5050, 17088, 17086, 16258, 348])).
% 4.34/4.52 tff(17090,plain,(b(z, s(s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(17091,plain,
% 4.34/4.52 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17090, 17058, 17035, 1, 16653, 79, 16266, 72])).
% 4.34/4.52 tff(17092,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[6328, 16390, 16653, 72, 81, 79])).
% 4.34/4.52 tff(17093,plain,
% 4.34/4.52 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[16264, 204, 135, 72])).
% 4.34/4.52 tff(17094,plain,
% 4.34/4.52 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[542, 17093])).
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% 4.34/4.52 tff(17164,plain,
% 4.34/4.52 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[6758, 17163, 17035, 17132, 178, 17140])).
% 4.34/4.52 tff(17165,plain,
% 4.34/4.52 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[15019, 17148, 72, 17140])).
% 4.34/4.52 tff(17166,plain,
% 4.34/4.52 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[542, 17165])).
% 4.34/4.52 tff(17167,plain,
% 4.34/4.52 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[14740, 545, 349, 544, 348, 410])).
% 4.34/4.52 tff(17168,plain,
% 4.34/4.52 ((s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[293, 64, 17167])).
% 4.34/4.52 tff(17169,plain,
% 4.34/4.52 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17168, 4865])).
% 4.34/4.52 tff(17170,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(17171,plain,
% 4.34/4.52 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(17172,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[17171])).
% 4.34/4.52 tff(17173,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.52 inference(transitivity,[status(thm)],[17172, 17170])).
% 4.34/4.52 tff(17174,plain,
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% 4.34/4.52 inference(quant_inst,[status(thm)],[])).
% 4.34/4.52 tff(17175,plain,
% 4.34/4.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.34/4.52 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 4.34/4.52 tff(17176,plain,
% 4.34/4.52 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17175, 91, 176, 348, 349, 17169])).
% 4.34/4.52 tff(17177,plain,
% 4.34/4.52 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[244, 64, 240, 17176])).
% 4.34/4.52 tff(17178,plain,
% 4.34/4.52 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17156, 91, 178, 348, 72, 349, 17169])).
% 4.34/4.52 tff(17179,plain,
% 4.34/4.52 (r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[1093, 17178])).
% 4.34/4.52 tff(17180,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[652, 125, 410, 17179, 71, 17177, 545])).
% 4.34/4.52 tff(17181,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(17182,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), s(z))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17181, 17163, 16258, 17035, 72, 71, 178, 17166, 16653])).
% 4.34/4.52 tff(17183,plain,
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% 4.34/4.52 inference(unit_resolution,[status(thm)],[201, 17182, 17164])).
% 4.34/4.52 tff(17184,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(17185,plain,
% 4.34/4.52 (~b(z, s(s(s(s(z)))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17184, 347, 71, 72, 135])).
% 4.34/4.52 tff(17186,plain,
% 4.34/4.52 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[14097, 17185, 17132])).
% 4.34/4.52 tff(17187,plain,
% 4.34/4.52 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[295, 17186])).
% 4.34/4.52 tff(17188,plain,
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% 4.34/4.52 inference(unit_resolution,[status(thm)],[174, 17185])).
% 4.34/4.52 tff(17189,plain,
% 4.34/4.52 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[6871, 76, 16258, 348])).
% 4.34/4.52 tff(17190,plain,
% 4.34/4.52 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[689, 17189])).
% 4.34/4.52 tff(17191,plain,
% 4.34/4.52 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[11956, 1020, 71, 80, 76, 348])).
% 4.34/4.52 tff(17192,plain,
% 4.34/4.52 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[113, 17191])).
% 4.34/4.52 tff(17193,plain,
% 4.34/4.52 ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[11730, 91, 348, 1073, 349])).
% 4.34/4.52 tff(17194,plain,
% 4.34/4.52 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17193, 17192])).
% 4.34/4.52 tff(17195,plain,
% 4.34/4.52 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[246, 17194])).
% 4.34/4.52 tff(17196,plain,
% 4.34/4.52 ($false),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[16613, 125, 14848, 1020, 347, 17195, 16457])).
% 4.34/4.52 tff(17197,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.52 tff(17198,plain,
% 4.34/4.52 (~r(s(s(s(s(z)))), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[17197, 1073, 348, 347, 16258, 71, 80, 76])).
% 4.34/4.52 tff(17199,plain,
% 4.34/4.52 (b(s(s(s(s(z)))), z)),
% 4.34/4.52 inference(unit_resolution,[status(thm)],[314, 17198])).
% 4.34/4.52 tff(17200,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(17201,plain,
% 4.34/4.52 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.52 inference(rewrite,[status(thm)],[])).
% 4.34/4.52 tff(17202,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))))),
% 4.34/4.52 inference(monotonicity,[status(thm)],[17201])).
% 4.34/4.52 tff(17203,plain,
% 4.34/4.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 4.34/4.53 inference(transitivity,[status(thm)],[17202, 17200])).
% 4.34/4.53 tff(17204,plain,
% 4.34/4.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))),
% 4.34/4.53 inference(quant_inst,[status(thm)],[])).
% 4.34/4.53 tff(17205,plain,
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% 4.34/4.53 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 4.34/4.53 tff(17206,plain,
% 4.34/4.53 (~b(z, s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[17205, 91, 76, 1073, 17199, 72, 297])).
% 4.34/4.53 tff(17207,plain,
% 4.34/4.53 (r(z, s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[267, 17206])).
% 4.34/4.53 tff(17208,plain,
% 4.34/4.53 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[8672, 17207, 410, 17190, 80])).
% 4.34/4.53 tff(17209,plain,
% 4.34/4.53 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[113, 17208])).
% 4.34/4.53 tff(17210,plain,
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% 4.34/4.53 tff(17214,plain,
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% 4.34/4.53 tff(17215,plain,
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% 4.34/4.53 inference(monotonicity,[status(thm)],[17214])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[15332, 17222, 71])).
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% 4.34/4.53 tff(17232,plain,
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% 4.34/4.53 tff(17237,plain,
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[336, 17236])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[710, 91, 348, 74, 72, 16258])).
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% 4.34/4.53 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), 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)))), s(s(s(s(s(z)))))))) <=> ((~r(s(s(s(s(s(z))))), 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)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
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% 4.34/4.53 inference(monotonicity,[status(thm)],[17246])).
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% 4.34/4.53 inference(modus_ponens,[status(thm)],[17249, 17248])).
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% 4.34/4.53 tff(17253,plain,
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% 4.34/4.53 tff(17259,plain,
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% 4.34/4.53 (~b(z, s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1081, 17259, 348, 79])).
% 4.34/4.53 tff(17261,plain,
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[113, 17260, 17257])).
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% 4.34/4.53 tff(17263,plain,
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% 4.34/4.53 tff(17264,plain,
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[1098, 17264, 17035, 17136, 17233])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[113, 17265])).
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% 4.34/4.53 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1146, 17266, 17136, 17142, 17264])).
% 4.34/4.53 tff(17268,plain,
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[15172, 17264, 17136])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[1093, 17268])).
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% 4.34/4.53 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[5484, 17269, 17035, 17233])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[246, 17270, 17267])).
% 4.34/4.53 tff(17272,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[17272, 72])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[7852, 74, 72, 17274])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[174, 17275])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[16695, 17276, 203, 204])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[689, 17281])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[15545, 17282, 203, 204])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[427, 17283])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[16695, 17282, 203, 204])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[174, 17285])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[99, 17284, 72, 77])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[113, 17289])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[16333, 17290, 17288, 203, 204])).
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% 4.34/4.53 tff(17293,plain,
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[17292, 204, 203, 72])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[394, 17293])).
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% 4.34/4.53 (~b(s(z), s(s(s(s(s(z))))))),
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[163, 17295])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[511, 17296, 17294, 17280])).
% 4.34/4.53 tff(17298,plain,
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[267, 17297])).
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% 4.34/4.53 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[15349, 17276, 203, 204])).
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% 4.34/4.53 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[427, 17299])).
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% 4.34/4.53 inference(rewrite,[status(thm)],[])).
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% 4.34/4.53 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.34/4.53 inference(rewrite,[status(thm)],[])).
% 4.34/4.53 tff(17303,plain,
% 4.34/4.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 4.34/4.53 inference(monotonicity,[status(thm)],[17302])).
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% 4.34/4.53 inference(transitivity,[status(thm)],[17303, 17301])).
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% 4.34/4.53 inference(quant_inst,[status(thm)],[])).
% 4.34/4.53 tff(17306,plain,
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% 4.34/4.53 inference(modus_ponens,[status(thm)],[17305, 17304])).
% 4.34/4.53 tff(17307,plain,
% 4.34/4.53 ($false),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[17306, 91, 17274, 17300, 17298, 17278, 74, 16258])).
% 4.34/4.53 tff(17308,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(17309,plain,
% 4.34/4.53 (~b(s(s(s(s(z)))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[17308, 204, 203, 72])).
% 4.34/4.53 tff(17310,plain,
% 4.34/4.53 (r(s(s(s(s(z)))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[314, 17309])).
% 4.34/4.53 tff(17311,plain,
% 4.34/4.53 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[16333, 17310, 203, 204])).
% 4.34/4.53 tff(17312,plain,
% 4.34/4.53 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[113, 17311])).
% 4.34/4.53 tff(17313,plain,
% 4.34/4.53 (~r(z, s(s(s(s(z)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[14995, 17310, 204])).
% 4.34/4.53 tff(17314,plain,
% 4.34/4.53 (b(z, s(s(s(s(z)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[174, 17313])).
% 4.34/4.53 tff(17315,plain,
% 4.34/4.53 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[4275, 17314, 16258, 17274, 17312])).
% 4.34/4.53 tff(17316,plain,
% 4.34/4.53 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[201, 17315])).
% 4.34/4.53 tff(17317,plain,
% 4.34/4.53 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[16659, 17310, 16258, 203, 204])).
% 4.34/4.53 tff(17318,plain,
% 4.34/4.53 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[689, 17317])).
% 4.34/4.53 tff(17319,plain,
% 4.34/4.53 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[15545, 17318, 203, 204])).
% 4.34/4.53 tff(17320,plain,
% 4.34/4.53 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[427, 17319])).
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% 4.34/4.53 inference(unit_resolution,[status(thm)],[6328, 17320, 17316, 17294, 72, 17314, 17312])).
% 4.34/4.53 tff(17322,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.53 tff(17323,plain,
% 4.34/4.53 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[17322, 203, 72])).
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% 4.34/4.53 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[69, 17323])).
% 4.34/4.53 tff(17325,plain,
% 4.34/4.53 (~b(s(z), s(s(s(s(s(s(z)))))))),
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% 4.34/4.53 tff(17326,plain,
% 4.34/4.53 (r(s(z), s(s(s(s(s(s(z)))))))),
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% 4.34/4.53 tff(17327,plain,
% 4.34/4.53 (b(z, s(s(s(s(z)))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[14097, 17326, 17324])).
% 4.34/4.53 tff(17328,plain,
% 4.34/4.53 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[5775, 17324, 16258, 318])).
% 4.34/4.53 tff(17329,plain,
% 4.34/4.53 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.34/4.53 tff(17330,plain,
% 4.34/4.53 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[14869, 17327, 318, 17324])).
% 4.34/4.53 tff(17331,plain,
% 4.34/4.53 (r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[1093, 17330])).
% 4.34/4.53 tff(17332,plain,
% 4.34/4.53 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[224, 17331, 203, 17329])).
% 4.34/4.53 tff(17333,plain,
% 4.34/4.53 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[113, 17332])).
% 4.34/4.53 tff(17334,plain,
% 4.34/4.53 (~r(s(z), s(s(s(s(s(z))))))),
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% 4.34/4.53 tff(17335,plain,
% 4.34/4.53 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[163, 17334])).
% 4.34/4.53 tff(17336,plain,
% 4.34/4.53 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.53 inference(unit_resolution,[status(thm)],[14351, 17335, 16258, 17274])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[17391, 1203, 72, 318])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[689, 17392])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[267, 17394])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[8578, 17395, 72, 74])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[1093, 17398])).
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% 4.34/4.54 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[16677, 17399, 72, 17395])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[542, 17400])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[15391, 17401, 17397, 204, 17276])).
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% 4.34/4.54 tff(17404,plain,
% 4.34/4.54 (~b(s(s(s(s(z)))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17403, 1203, 72, 17345, 17393, 17367])).
% 4.34/4.54 tff(17405,plain,
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[17048, 17405, 17369, 17344, 101, 16258, 17367])).
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% 4.34/4.54 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1293, 17405, 1203, 17393])).
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% 4.34/4.54 inference(unit_resolution,[status(thm)],[427, 17407, 17406])).
% 4.34/4.54 tff(17409,plain,(b(z, s(s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(17410,plain,
% 4.34/4.54 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17409, 318, 72])).
% 4.34/4.54 tff(17411,plain,
% 4.34/4.54 (~b(z, s(s(s(s(z)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[4691, 91, 17274, 17410, 17343, 318, 72])).
% 4.34/4.54 tff(17412,plain,
% 4.34/4.54 (r(z, s(s(s(s(z)))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[174, 17411])).
% 4.34/4.54 tff(17413,plain,
% 4.34/4.54 (~r(s(s(s(s(z)))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[14995, 17412, 17345])).
% 4.34/4.54 tff(17414,plain,
% 4.34/4.54 (b(s(s(s(s(z)))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[314, 17413])).
% 4.34/4.54 tff(17415,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17416,plain,
% 4.34/4.54 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(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(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17417,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(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(X1, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[17416])).
% 4.34/4.54 tff(17418,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(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(X1, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)))),
% 4.34/4.54 inference(transitivity,[status(thm)],[17417, 17415])).
% 4.34/4.54 tff(17419,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 4.34/4.54 inference(quant_inst,[status(thm)],[])).
% 4.34/4.54 tff(17420,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 4.34/4.54 tff(17421,plain,
% 4.34/4.54 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17420, 91, 17274, 17410, 17414, 72, 16258])).
% 4.34/4.54 tff(17422,plain,
% 4.34/4.54 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[201, 17421])).
% 4.34/4.54 tff(17423,plain,
% 4.34/4.54 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[9115, 669, 81, 74])).
% 4.34/4.54 tff(17424,plain,
% 4.34/4.54 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[427, 17423])).
% 4.34/4.54 tff(17425,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17426,plain,
% 4.34/4.54 (((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17427,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[17426])).
% 4.34/4.54 tff(17428,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[17427, 17425])).
% 4.34/4.54 tff(17429,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.34/4.54 inference(quant_inst,[status(thm)],[])).
% 4.34/4.54 tff(17430,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 4.34/4.54 tff(17431,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17430, 91, 81, 348, 1073, 669, 349])).
% 4.34/4.54 tff(17432,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(17433,plain,
% 4.34/4.54 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17432, 669, 348, 81, 349])).
% 4.34/4.54 tff(17434,plain,
% 4.34/4.54 (r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1093, 17433])).
% 4.34/4.54 tff(17435,plain,
% 4.34/4.54 ($false),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[15332, 17434, 17424, 216])).
% 4.34/4.54 tff(17436,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.54 tff(17437,plain,
% 4.34/4.54 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17436, 17369, 17343, 17410, 16258, 17414])).
% 4.34/4.54 tff(17438,plain,
% 4.34/4.54 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[689, 17437])).
% 4.34/4.54 tff(17439,plain,
% 4.34/4.54 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[15391, 17422, 17345, 17412])).
% 4.34/4.54 tff(17440,plain,
% 4.34/4.54 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[542, 17439])).
% 4.34/4.54 tff(17441,plain,
% 4.34/4.54 ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[710, 91, 17343, 17414, 72, 16258])).
% 4.34/4.54 tff(17442,plain,
% 4.34/4.54 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17441, 17440])).
% 4.34/4.54 tff(17443,plain,
% 4.34/4.54 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[163, 17442])).
% 4.34/4.54 tff(17444,plain,
% 4.34/4.54 (~r(s(s(s(s(s(z))))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[698, 17443, 17438, 17422])).
% 4.34/4.54 tff(17445,plain,
% 4.34/4.54 (b(s(s(s(s(s(z))))), s(z))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[394, 17444])).
% 4.34/4.54 tff(17446,plain,
% 4.34/4.54 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[99, 17445, 72, 17410])).
% 4.34/4.54 tff(17447,plain,
% 4.34/4.54 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[427, 17446])).
% 4.34/4.54 tff(17448,plain,
% 4.34/4.54 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[15332, 17447, 17369])).
% 4.34/4.54 tff(17449,plain,
% 4.34/4.54 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1093, 17448])).
% 4.34/4.54 tff(17450,plain,
% 4.34/4.54 ((s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))) <=> (s(s(s(s(s(z))))) = s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(symmetry,[status(thm)],[2863])).
% 4.34/4.54 tff(17451,plain,
% 4.34/4.54 ((~(s(s(s(s(s(s(z)))))) = s(s(s(s(s(z))))))) <=> (~(s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[17450])).
% 4.34/4.54 tff(17452,plain,
% 4.34/4.54 (~(s(s(s(s(s(z))))) = s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[238, 17451])).
% 4.34/4.54 tff(17453,plain,
% 4.34/4.54 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[16694, 765, 115, 204, 80])).
% 4.34/4.54 tff(17454,plain,
% 4.34/4.54 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[1313, 17453])).
% 4.34/4.54 tff(17455,plain,
% 4.34/4.54 ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[5512, 91, 77, 17454, 1073])).
% 4.34/4.54 tff(17456,plain,
% 4.34/4.54 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17455, 81])).
% 4.34/4.54 tff(17457,plain,
% 4.34/4.54 ((s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))) | r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[244, 64, 17456])).
% 4.34/4.54 tff(17458,plain,
% 4.34/4.54 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17457, 17452])).
% 4.34/4.54 tff(17459,plain,
% 4.34/4.54 ((s(s(z)) = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = s(s(z)))),
% 4.34/4.54 inference(commutativity,[status(thm)],[])).
% 4.34/4.54 tff(17460,plain,
% 4.34/4.54 ((s(s(s(s(s(s(z)))))) = s(s(z))) <=> (s(s(z)) = s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(symmetry,[status(thm)],[17459])).
% 4.34/4.54 tff(17461,plain,
% 4.34/4.54 ((~(s(s(s(s(s(s(z)))))) = s(s(z)))) <=> (~(s(s(z)) = s(s(s(s(s(s(z))))))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[17460])).
% 4.34/4.54 tff(17462,plain,
% 4.34/4.54 (~(s(s(z)) = s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[869, 17461])).
% 4.34/4.54 tff(17463,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17464,plain,
% 4.34/4.54 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17465,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[17464])).
% 4.34/4.54 tff(17466,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[17465, 17463])).
% 4.34/4.54 tff(17467,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.34/4.54 inference(quant_inst,[status(thm)],[])).
% 4.34/4.54 tff(17468,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(z)))),
% 4.34/4.54 inference(modus_ponens,[status(thm)],[17467, 17466])).
% 4.34/4.54 tff(17469,plain,
% 4.34/4.54 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17468, 91, 81, 17454, 72, 526, 3451])).
% 4.34/4.54 tff(17470,plain,
% 4.34/4.54 ((s(s(z)) = s(s(s(s(s(s(z))))))) | r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[881, 64, 17469])).
% 4.34/4.54 tff(17471,plain,
% 4.34/4.54 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17470, 17462])).
% 4.34/4.54 tff(17472,plain,
% 4.34/4.54 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[7441, 91, 77, 565, 17454, 526])).
% 4.34/4.54 tff(17473,plain,
% 4.34/4.54 ((s(z) = s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[161, 64, 17472])).
% 4.34/4.54 tff(17474,plain,
% 4.34/4.54 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.54 inference(unit_resolution,[status(thm)],[17473, 10532])).
% 4.34/4.54 tff(17475,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17476,plain,
% 4.34/4.54 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(z, s(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(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.54 inference(rewrite,[status(thm)],[])).
% 4.34/4.54 tff(17477,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))))),
% 4.34/4.54 inference(monotonicity,[status(thm)],[17476])).
% 4.34/4.54 tff(17478,plain,
% 4.34/4.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.34/4.54 inference(transitivity,[status(thm)],[17477, 17475])).
% 4.34/4.54 tff(17479,plain,
% 4.34/4.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(z, s(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)))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(17480,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 4.34/4.55 tff(17481,plain,
% 4.34/4.55 ((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(z))))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17480, 91, 77, 81, 74, 3451])).
% 4.34/4.55 tff(17482,plain,
% 4.34/4.55 (~b(s(s(z)), z)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17481, 923])).
% 4.34/4.55 tff(17483,plain,
% 4.34/4.55 (r(s(s(z)), z)),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[898, 17482])).
% 4.34/4.55 tff(17484,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17485,plain,
% 4.34/4.55 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17486,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[17485])).
% 4.34/4.55 tff(17487,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[17486, 17484])).
% 4.34/4.55 tff(17488,plain,
% 4.34/4.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(17489,plain,
% 4.34/4.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[17488, 17487])).
% 4.34/4.55 tff(17490,plain,
% 4.34/4.55 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17489, 125, 765, 204, 17483, 80])).
% 4.34/4.55 tff(17491,plain,
% 4.34/4.55 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[3115, 64, 17490, 869])).
% 4.34/4.55 tff(17492,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17493,plain,
% 4.34/4.55 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17494,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[17493])).
% 4.34/4.55 tff(17495,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[17494, 17492])).
% 4.34/4.55 tff(17496,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(17497,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 4.34/4.55 tff(17498,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17497, 91, 17491, 81, 348, 1073, 923, 349])).
% 4.34/4.55 tff(17499,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(17500,plain,
% 4.34/4.55 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17499, 3451, 17454, 1073, 349, 765, 204, 80, 77, 74, 81])).
% 4.34/4.55 tff(17501,plain,
% 4.34/4.55 (r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[938, 17500])).
% 4.34/4.55 tff(17502,plain,
% 4.34/4.55 (~b(z, s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[10016, 17501, 115, 17474, 544, 565, 81, 3451, 349])).
% 4.34/4.55 tff(17503,plain,
% 4.34/4.55 (r(z, s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[3400, 17502])).
% 4.34/4.55 tff(17504,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17505,plain,
% 4.34/4.55 (((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17506,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[17505])).
% 4.34/4.55 tff(17507,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[17506, 17504])).
% 4.34/4.55 tff(17508,plain,
% 4.34/4.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(17509,plain,
% 4.34/4.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 4.34/4.55 tff(17510,plain,
% 4.34/4.55 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17509, 125, 17503, 71, 17471, 17458])).
% 4.34/4.55 tff(17511,plain,
% 4.34/4.55 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[921, 64, 785, 17510])).
% 4.34/4.55 tff(17512,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17513,plain,
% 4.34/4.55 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17514,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z)))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[17513])).
% 4.34/4.55 tff(17515,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[17514, 17512])).
% 4.34/4.55 tff(17516,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(17517,plain,
% 4.34/4.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z)))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 4.34/4.55 tff(17518,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17517, 91, 81, 17454, 1073, 526, 3451, 17511])).
% 4.34/4.55 tff(17519,plain,((~b(s(s(z)), s(z))) | (~b(z, 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))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(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(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(17520,plain,
% 4.34/4.55 ((~b(s(s(z)), s(z))) | (~b(z, 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))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(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(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17519, 14848])).
% 4.34/4.55 tff(17521,plain,
% 4.34/4.55 (~b(s(s(z)), s(z))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17520, 17449, 16258, 17274, 17445, 17422, 17414, 17447, 17440, 17345, 17412, 17438, 17410, 72])).
% 4.34/4.55 tff(17522,plain,
% 4.34/4.55 (r(s(s(z)), s(z))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[857, 17521])).
% 4.34/4.55 tff(17523,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17524,plain,
% 4.34/4.55 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z))))) <=> ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))),
% 4.34/4.55 inference(rewrite,[status(thm)],[])).
% 4.34/4.55 tff(17525,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z)))))),
% 4.34/4.55 inference(monotonicity,[status(thm)],[17524])).
% 4.34/4.55 tff(17526,plain,
% 4.34/4.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))))),
% 4.34/4.55 inference(transitivity,[status(thm)],[17525, 17523])).
% 4.34/4.55 tff(17527,plain,
% 4.34/4.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 4.34/4.55 inference(quant_inst,[status(thm)],[])).
% 4.34/4.55 tff(17528,plain,
% 4.34/4.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z)))),
% 4.34/4.55 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 4.34/4.55 tff(17529,plain,
% 4.34/4.55 ($false),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17528, 125, 3102, 544, 115, 136, 2446])).
% 4.34/4.55 tff(17530,plain,((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.55 tff(17531,plain,
% 4.34/4.55 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[17530, 17522, 17438, 17422, 17443])).
% 4.34/4.55 tff(17532,plain,
% 4.34/4.55 (b(s(s(s(s(z)))), s(s(z)))),
% 4.34/4.55 inference(unit_resolution,[status(thm)],[938, 17531])).
% 4.34/4.55 tff(17533,plain,
% 4.34/4.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(17534,plain,
% 4.34/4.56 (((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(17535,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[17534])).
% 4.34/4.56 tff(17536,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 4.34/4.56 inference(transitivity,[status(thm)],[17535, 17533])).
% 4.34/4.56 tff(17537,plain,
% 4.34/4.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.34/4.56 inference(quant_inst,[status(thm)],[])).
% 4.34/4.56 tff(17538,plain,
% 4.34/4.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), z))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 4.34/4.56 tff(17539,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17538, 91, 77, 924, 565, 923, 72, 349])).
% 4.34/4.56 tff(17540,plain,((~b(s(s(z)), z)) | (~b(s(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), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17541,plain,
% 4.34/4.56 (~b(s(s(z)), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17540, 17532, 16258, 72, 17274, 17445])).
% 4.34/4.56 tff(17542,plain,
% 4.34/4.56 (r(s(s(z)), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[898, 17541])).
% 4.34/4.56 tff(17543,plain,
% 4.34/4.56 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17489, 125, 14848, 17345, 17542, 17412])).
% 4.34/4.56 tff(17544,plain,
% 4.34/4.56 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[3164, 17543])).
% 4.34/4.56 tff(17545,plain,
% 4.34/4.56 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[16784, 17544, 318, 17532])).
% 4.34/4.56 tff(17546,plain,
% 4.34/4.56 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[5705, 17545])).
% 4.34/4.56 tff(17547,plain,
% 4.34/4.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(17548,plain,
% 4.34/4.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))))),
% 4.34/4.56 inference(quant_inst,[status(thm)],[])).
% 4.34/4.56 tff(17549,plain,
% 4.34/4.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z)))),
% 4.34/4.56 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 4.34/4.56 tff(17550,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17549, 125, 4961, 216, 136, 2446, 5707])).
% 4.34/4.56 tff(17551,plain,((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17552,plain,
% 4.34/4.56 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17551, 17546, 17369, 17443, 17522])).
% 4.34/4.56 tff(17553,plain,
% 4.34/4.56 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[5666, 17552])).
% 4.34/4.56 tff(17554,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(17555,plain,
% 4.34/4.56 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(17556,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.34/4.56 inference(monotonicity,[status(thm)],[17555])).
% 4.34/4.56 tff(17557,plain,
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% 4.34/4.56 inference(transitivity,[status(thm)],[17556, 17554])).
% 4.34/4.56 tff(17558,plain,
% 4.34/4.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.34/4.56 inference(quant_inst,[status(thm)],[])).
% 4.34/4.56 tff(17559,plain,
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% 4.34/4.56 inference(modus_ponens,[status(thm)],[17558, 17557])).
% 4.34/4.56 tff(17560,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17559, 91, 17544, 17410, 17553, 17449, 318, 17414])).
% 4.34/4.56 tff(17561,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17562,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17561, 72])).
% 4.34/4.56 tff(17563,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[336, 17562])).
% 4.34/4.56 tff(17564,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[10691, 669, 16258, 17274])).
% 4.34/4.56 tff(17565,plain,
% 4.34/4.56 (r(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[394, 17564])).
% 4.34/4.56 tff(17566,plain,
% 4.34/4.56 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17322, 12257, 72])).
% 4.34/4.56 tff(17567,plain,
% 4.34/4.56 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[69, 17566])).
% 4.34/4.56 tff(17568,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[10691, 669, 349, 565])).
% 4.34/4.56 tff(17569,plain,
% 4.34/4.56 (~r(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[13567, 669, 349, 565, 1306, 76])).
% 4.34/4.56 tff(17570,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[394, 17569, 17568])).
% 4.34/4.56 tff(17571,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17572,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17571, 1306, 17274, 16258, 17567])).
% 4.34/4.56 tff(17573,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[689, 17572])).
% 4.34/4.56 tff(17574,plain,
% 4.34/4.56 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4195, 17573, 17563, 12257])).
% 4.34/4.56 tff(17575,plain,
% 4.34/4.56 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[246, 17574])).
% 4.34/4.56 tff(17576,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[11251, 17575, 16258, 17274, 17567])).
% 4.34/4.56 tff(17577,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[201, 17576])).
% 4.34/4.56 tff(17578,plain,
% 4.34/4.56 (~r(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[10171, 17577, 17563, 12257, 17573])).
% 4.34/4.56 tff(17579,plain,
% 4.34/4.56 (b(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[394, 17578])).
% 4.34/4.56 tff(17580,plain,
% 4.34/4.56 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[15172, 1020, 17563])).
% 4.34/4.56 tff(17581,plain,
% 4.34/4.56 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1093, 17580])).
% 4.34/4.56 tff(17582,plain,
% 4.34/4.56 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4195, 115, 17563, 203])).
% 4.34/4.56 tff(17583,plain,
% 4.34/4.56 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[246, 17582])).
% 4.34/4.56 tff(17584,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[11251, 17583, 16258, 17274, 17324])).
% 4.34/4.56 tff(17585,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[201, 17584])).
% 4.34/4.56 tff(17586,plain,
% 4.34/4.56 (~r(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[10171, 17585, 17563, 203, 115])).
% 4.34/4.56 tff(17587,plain,
% 4.34/4.56 (b(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[394, 17586])).
% 4.34/4.56 tff(17588,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[15568, 1020, 17563, 17585])).
% 4.34/4.56 tff(17589,plain,
% 4.34/4.56 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17588])).
% 4.34/4.56 tff(17590,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4012, 17589, 17583, 17587])).
% 4.34/4.56 tff(17591,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[542, 17590])).
% 4.34/4.56 tff(17592,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[10183, 17591, 115, 17585, 17563])).
% 4.34/4.56 tff(17593,plain,
% 4.34/4.56 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[163, 17592])).
% 4.34/4.56 tff(17594,plain,
% 4.34/4.56 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[5459, 1020, 17563, 203, 115])).
% 4.34/4.56 tff(17595,plain,
% 4.34/4.56 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[427, 17594])).
% 4.34/4.56 tff(17596,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[11078, 91, 17324, 17595, 17593, 17581, 72, 16258])).
% 4.34/4.56 tff(17597,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17598,plain,
% 4.34/4.56 (~r(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17597, 17573, 72, 12257])).
% 4.34/4.56 tff(17599,plain,
% 4.34/4.56 (b(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[314, 17598])).
% 4.34/4.56 tff(17600,plain,
% 4.34/4.56 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[306, 17599, 17575, 72, 17567, 17579])).
% 4.34/4.56 tff(17601,plain,
% 4.34/4.56 (~b(z, s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7852, 17599, 72, 17274])).
% 4.34/4.56 tff(17602,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[14097, 17601, 17567])).
% 4.34/4.56 tff(17603,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17602, 17600])).
% 4.34/4.56 tff(17604,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17605,plain,
% 4.34/4.56 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17604, 72])).
% 4.34/4.56 tff(17606,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[6871, 669, 16258, 17605])).
% 4.34/4.56 tff(17607,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[69, 17606])).
% 4.34/4.56 tff(17608,plain,
% 4.34/4.56 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[8622, 17276, 17563, 17607])).
% 4.34/4.56 tff(17609,plain,
% 4.34/4.56 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1093, 17608])).
% 4.34/4.56 tff(17610,plain,
% 4.34/4.56 (~b(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17432, 17609, 17605, 669, 16258])).
% 4.34/4.56 tff(17611,plain,
% 4.34/4.56 (r(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[113, 17610])).
% 4.34/4.56 tff(17612,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[511, 17611, 17373, 17565])).
% 4.34/4.56 tff(17613,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[267, 17612])).
% 4.34/4.56 tff(17614,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[8578, 17613, 72, 74])).
% 4.34/4.56 tff(17615,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[201, 17614])).
% 4.34/4.56 tff(17616,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[16677, 17613, 72, 17609])).
% 4.34/4.56 tff(17617,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[542, 17616])).
% 4.34/4.56 tff(17618,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[15391, 17617, 17615, 17607, 17276])).
% 4.34/4.56 tff(17619,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17620,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17619, 669, 72])).
% 4.34/4.56 tff(17621,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[314, 17620])).
% 4.34/4.56 tff(17622,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1182, 429, 72, 16390])).
% 4.34/4.56 tff(17623,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[201, 17622])).
% 4.34/4.56 tff(17624,plain,
% 4.34/4.56 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4149, 429, 204, 16390, 565, 347, 669])).
% 4.34/4.56 tff(17625,plain,
% 4.34/4.56 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17624])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[15568, 17625, 17623, 1020, 347])).
% 4.34/4.56 tff(17627,plain,((~b(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17628,plain,
% 4.34/4.56 (~b(z, s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17627, 17621, 17274, 17563, 17607, 669, 72])).
% 4.34/4.56 tff(17629,plain,
% 4.34/4.56 (r(z, s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[267, 17628])).
% 4.34/4.56 tff(17630,plain,
% 4.34/4.56 (~r(z, s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[14995, 17621, 17607])).
% 4.34/4.56 tff(17631,plain,
% 4.34/4.56 (b(z, s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[174, 17630])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[6280, 17631, 17629, 16258, 17274, 17565, 669])).
% 4.34/4.56 tff(17633,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17634,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17633, 72])).
% 4.34/4.56 tff(17635,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[689, 17634])).
% 4.34/4.56 tff(17636,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[15568, 1020, 17563, 17347])).
% 4.34/4.56 tff(17637,plain,
% 4.34/4.56 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17636])).
% 4.34/4.56 tff(17638,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[15019, 17637, 72, 17581])).
% 4.34/4.56 tff(17639,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[542, 17638])).
% 4.34/4.56 tff(17640,plain,
% 4.34/4.56 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4419, 17637, 17605, 77])).
% 4.34/4.56 tff(17641,plain,
% 4.34/4.56 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[163, 17640])).
% 4.34/4.56 tff(17642,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[10183, 17641, 17639, 17635, 17347, 17563])).
% 4.34/4.56 tff(17643,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17644,plain,
% 4.34/4.56 (~r(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17643, 77, 72])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17656])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[4419, 17657, 17605, 77])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[163, 17658])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[15332, 17663, 215])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[427, 17664])).
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% 4.34/4.56 tff(17668,plain,
% 4.34/4.56 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17667, 77, 72])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[1093, 17668])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[17365, 204, 72, 17605, 77])).
% 4.34/4.56 tff(17671,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[113, 17670])).
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% 4.34/4.56 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[5514, 17671, 17605, 17669, 77])).
% 4.34/4.56 tff(17673,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[246, 17672])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[14562, 125, 17347, 17563, 17673, 17635, 17651])).
% 4.34/4.56 tff(17675,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17676,plain,
% 4.34/4.56 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17675, 77, 72])).
% 4.34/4.56 tff(17677,plain,
% 4.34/4.56 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[69, 17676])).
% 4.34/4.56 tff(17678,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[14097, 17677, 17646])).
% 4.34/4.56 tff(17679,plain,
% 4.34/4.56 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17678])).
% 4.34/4.56 tff(17680,plain,
% 4.34/4.56 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4419, 17679, 17605, 77])).
% 4.34/4.56 tff(17681,plain,
% 4.34/4.56 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[163, 17680])).
% 4.34/4.56 tff(17682,plain,
% 4.34/4.56 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[15019, 17679, 72, 17669])).
% 4.34/4.56 tff(17683,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[542, 17682])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[10183, 17683, 17681, 17635, 17347, 17563])).
% 4.34/4.56 tff(17685,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17686,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17685, 72])).
% 4.34/4.56 tff(17687,plain,
% 4.34/4.56 (r(s(s(s(s(s(z))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[394, 17686])).
% 4.34/4.56 tff(17688,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[11251, 76, 349, 565, 177])).
% 4.34/4.56 tff(17689,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[246, 17688])).
% 4.34/4.56 tff(17690,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[8612, 76, 565, 177])).
% 4.34/4.56 tff(17691,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17690])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[7939, 76, 565, 177])).
% 4.34/4.56 tff(17693,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[542, 17692])).
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[6788, 17693, 17691, 410, 17689])).
% 4.34/4.56 tff(17695,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(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(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17696,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[17695, 177, 17274, 17687, 16258])).
% 4.34/4.56 tff(17697,plain,
% 4.34/4.56 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[69, 17696])).
% 4.34/4.56 tff(17698,plain,
% 4.34/4.56 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[14351, 177, 16258, 17274])).
% 4.34/4.56 tff(17699,plain,
% 4.34/4.56 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[163, 17698])).
% 4.34/4.56 tff(17700,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[1182, 178, 72, 177])).
% 4.34/4.56 tff(17701,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[267, 17700])).
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% 4.34/4.56 (~b(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[4275, 178, 16258, 17274, 177])).
% 4.34/4.56 tff(17703,plain,
% 4.34/4.56 (r(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[113, 17702])).
% 4.34/4.56 tff(17704,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[511, 17703, 17701, 17699, 17687])).
% 4.34/4.56 tff(17705,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17706,plain,
% 4.34/4.56 (~b(z, s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17705, 177, 72])).
% 4.34/4.56 tff(17707,plain,
% 4.34/4.56 (r(z, s(s(s(s(z)))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[174, 17706])).
% 4.34/4.56 tff(17708,plain,
% 4.34/4.56 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[8622, 17707, 17563, 17697])).
% 4.34/4.56 tff(17709,plain,
% 4.34/4.56 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1093, 17708])).
% 4.34/4.56 tff(17710,plain,
% 4.34/4.56 (~r(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[14995, 17707, 17697])).
% 4.34/4.56 tff(17711,plain,
% 4.34/4.56 (b(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[314, 17710])).
% 4.34/4.56 tff(17712,plain,
% 4.34/4.56 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17403, 17711, 72, 17635, 17687, 17697])).
% 4.34/4.56 tff(17713,plain,
% 4.34/4.56 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[113, 17712])).
% 4.34/4.56 tff(17714,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[11730, 91, 17713, 17605, 17709, 16258])).
% 4.34/4.56 tff(17715,plain,
% 4.34/4.56 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[246, 17714])).
% 4.34/4.56 tff(17716,plain,
% 4.34/4.56 (~b(z, s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[8578, 17711, 72, 177])).
% 4.34/4.56 tff(17717,plain,
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% 4.34/4.56 inference(unit_resolution,[status(thm)],[267, 17716])).
% 4.34/4.56 tff(17718,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1081, 17713, 17605, 17709])).
% 4.34/4.56 tff(17719,plain,
% 4.34/4.56 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[427, 17718])).
% 4.34/4.56 tff(17720,plain,
% 4.34/4.56 ($false),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17218, 125, 17687, 14848, 17719, 17717, 17715])).
% 4.34/4.56 tff(17721,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.56 tff(17722,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17721, 72])).
% 4.34/4.56 tff(17723,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[201, 17722])).
% 4.34/4.56 tff(17724,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[7611, 17723, 17563, 17687, 17635])).
% 4.34/4.56 tff(17725,plain,
% 4.34/4.56 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[295, 17724])).
% 4.34/4.56 tff(17726,plain,
% 4.34/4.56 (~b(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[17252, 17725, 17563, 17605, 17635, 72, 17687, 17723])).
% 4.34/4.56 tff(17727,plain,
% 4.34/4.56 (r(s(s(s(s(z)))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[314, 17726])).
% 4.34/4.56 tff(17728,plain,
% 4.34/4.56 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[15172, 17727, 17563])).
% 4.34/4.56 tff(17729,plain,
% 4.34/4.56 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1093, 17728])).
% 4.34/4.56 tff(17730,plain,
% 4.34/4.56 (~r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[698, 17723, 17635, 17687])).
% 4.34/4.56 tff(17731,plain,
% 4.34/4.56 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[163, 17730])).
% 4.34/4.56 tff(17732,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[501, 17731, 17605, 17725])).
% 4.34/4.56 tff(17733,plain,
% 4.34/4.56 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[246, 17732])).
% 4.34/4.56 tff(17734,plain,
% 4.34/4.56 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1146, 17733, 17563, 17635, 17727])).
% 4.34/4.56 tff(17735,plain,
% 4.34/4.56 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[113, 17734])).
% 4.34/4.56 tff(17736,plain,
% 4.34/4.56 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[1081, 17735, 17605, 17729])).
% 4.34/4.56 tff(17737,plain,
% 4.34/4.56 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[427, 17736])).
% 4.34/4.56 tff(17738,plain,
% 4.34/4.56 (~r(z, s(z))),
% 4.34/4.56 inference(unit_resolution,[status(thm)],[5891, 17737, 17635, 17723, 17727])).
% 4.34/4.56 tff(17739,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(17740,plain,
% 4.34/4.56 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.56 inference(rewrite,[status(thm)],[])).
% 4.34/4.56 tff(17741,plain,
% 4.34/4.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[17740])).
% 4.34/4.57 tff(17742,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[17741, 17739])).
% 4.34/4.57 tff(17743,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(17744,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[17743, 17742])).
% 4.34/4.57 tff(17745,plain,
% 4.34/4.57 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17744, 91, 565, 429, 348, 1073, 349])).
% 4.34/4.57 tff(17746,plain,
% 4.34/4.57 ((s(z) = s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[293, 64, 17745])).
% 4.34/4.57 tff(17747,plain,
% 4.34/4.57 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17746, 4865])).
% 4.34/4.57 tff(17748,plain,
% 4.34/4.57 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[11730, 91, 81, 348, 1073, 349])).
% 4.34/4.57 tff(17749,plain,
% 4.34/4.57 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[244, 64, 240, 17748])).
% 4.34/4.57 tff(17750,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[11606, 125, 410, 765, 71, 17749, 17747])).
% 4.34/4.57 tff(17751,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17752,plain,
% 4.34/4.57 ((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17751, 14848])).
% 4.34/4.57 tff(17753,plain,
% 4.34/4.57 (~b(z, s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17752, 17737, 16258, 17274, 17605, 17687, 17729, 17735])).
% 4.34/4.57 tff(17754,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[267, 17753, 17738])).
% 4.34/4.57 tff(17755,plain,(~b(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17756,plain,
% 4.34/4.57 (r(s(z), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[408, 17755])).
% 4.34/4.57 tff(17757,plain,
% 4.34/4.57 ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7501, 14848])).
% 4.34/4.57 tff(17758,plain,
% 4.34/4.57 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17757, 269, 17756])).
% 4.34/4.57 tff(17759,plain,
% 4.34/4.57 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1093, 17758])).
% 4.34/4.57 tff(17760,plain,
% 4.34/4.57 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[15613, 1020, 73, 203])).
% 4.34/4.57 tff(17761,plain,
% 4.34/4.57 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[69, 17760])).
% 4.34/4.57 tff(17762,plain,
% 4.34/4.57 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[212, 204, 73, 203])).
% 4.34/4.57 tff(17763,plain,
% 4.34/4.57 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[689, 17762])).
% 4.34/4.57 tff(17764,plain,
% 4.34/4.57 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[15183, 204, 73, 203])).
% 4.34/4.57 tff(17765,plain,
% 4.34/4.57 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[113, 17764])).
% 4.34/4.57 tff(17766,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17757, 215, 17756])).
% 4.34/4.57 tff(17767,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[295, 17766])).
% 4.34/4.57 tff(17768,plain,
% 4.34/4.57 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6362, 17767, 318, 17761])).
% 4.34/4.57 tff(17769,plain,
% 4.34/4.57 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[563, 17768])).
% 4.34/4.57 tff(17770,plain,
% 4.34/4.57 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6057, 318, 17761, 669])).
% 4.34/4.57 tff(17771,plain,
% 4.34/4.57 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[246, 17770])).
% 4.34/4.57 tff(17772,plain,
% 4.34/4.57 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6045, 215, 73, 1020, 17771])).
% 4.34/4.57 tff(17773,plain,
% 4.34/4.57 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[427, 17772])).
% 4.34/4.57 tff(17774,plain,
% 4.34/4.57 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[224, 215, 203, 17771])).
% 4.34/4.57 tff(17775,plain,
% 4.34/4.57 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[113, 17774])).
% 4.34/4.57 tff(17776,plain,
% 4.34/4.57 (~b(z, s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4060, 17775, 669, 17773])).
% 4.34/4.57 tff(17777,plain,
% 4.34/4.57 (r(z, s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[174, 17776])).
% 4.34/4.57 tff(17778,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[9068, 17777, 17769, 17756, 1020])).
% 4.34/4.57 tff(17779,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17780,plain,
% 4.34/4.57 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17779, 318, 669, 1020, 203, 73])).
% 4.34/4.57 tff(17781,plain,
% 4.34/4.57 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1093, 17780])).
% 4.34/4.57 tff(17782,plain,
% 4.34/4.57 (~b(z, s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[14869, 17781, 17761, 318])).
% 4.34/4.57 tff(17783,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[14097, 17782, 17761])).
% 4.34/4.57 tff(17784,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[295, 17783])).
% 4.34/4.57 tff(17785,plain,
% 4.34/4.57 (r(z, s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[174, 17782])).
% 4.34/4.57 tff(17786,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[9068, 17785, 17756, 1020])).
% 4.34/4.57 tff(17787,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[563, 17786])).
% 4.34/4.57 tff(17788,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6362, 17787, 17784, 318, 17761])).
% 4.34/4.57 tff(17789,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17790,plain,
% 4.34/4.57 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17789, 669, 1020, 203, 73])).
% 4.34/4.57 tff(17791,plain,
% 4.34/4.57 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[336, 17790])).
% 4.34/4.57 tff(17792,plain,
% 4.34/4.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(17793,plain,
% 4.34/4.57 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(17794,plain,
% 4.34/4.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[17793])).
% 4.34/4.57 tff(17795,plain,
% 4.34/4.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[17794, 17792])).
% 4.34/4.57 tff(17796,plain,
% 4.34/4.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(17797,plain,
% 4.34/4.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[17796, 17795])).
% 4.34/4.57 tff(17798,plain,
% 4.34/4.57 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17797, 125, 14848, 17756, 17791])).
% 4.34/4.57 tff(17799,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17798, 135])).
% 4.34/4.57 tff(17800,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[295, 17799])).
% 4.34/4.57 tff(17801,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6077, 135, 17756, 73, 1020])).
% 4.34/4.57 tff(17802,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[163, 17801])).
% 4.34/4.57 tff(17803,plain,
% 4.34/4.57 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4355, 17802, 77, 669])).
% 4.34/4.57 tff(17804,plain,
% 4.34/4.57 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[201, 17803])).
% 4.34/4.57 tff(17805,plain,
% 4.34/4.57 (~r(z, s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[5940, 17804, 17756, 1020])).
% 4.34/4.57 tff(17806,plain,
% 4.34/4.57 (b(z, s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[267, 17805])).
% 4.34/4.57 tff(17807,plain,
% 4.34/4.57 (~b(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[5950, 17806, 77, 17802])).
% 4.34/4.57 tff(17808,plain,
% 4.34/4.57 (r(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[113, 17807])).
% 4.34/4.57 tff(17809,plain,
% 4.34/4.57 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[12250, 125, 14848, 17808, 203, 17756])).
% 4.34/4.57 tff(17810,plain,
% 4.34/4.57 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[542, 17809])).
% 4.34/4.57 tff(17811,plain,
% 4.34/4.57 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[15172, 17791, 1020])).
% 4.34/4.57 tff(17812,plain,
% 4.34/4.57 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[1093, 17811])).
% 4.34/4.57 tff(17813,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(17814,plain,
% 4.34/4.57 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(17815,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[17814])).
% 4.34/4.57 tff(17816,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[17815, 17813])).
% 4.34/4.57 tff(17817,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(17818,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[17817, 17816])).
% 4.34/4.57 tff(17819,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17818, 91, 17806, 17812, 17810, 17800])).
% 4.34/4.57 tff(17820,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17821,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17820, 669, 77, 1020, 203, 73])).
% 4.34/4.57 tff(17822,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[563, 17821])).
% 4.34/4.57 tff(17823,plain,
% 4.34/4.57 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[6302, 17822, 77, 669])).
% 4.34/4.57 tff(17824,plain,
% 4.34/4.57 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[163, 17823])).
% 4.34/4.57 tff(17825,plain,
% 4.34/4.57 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4395, 17822, 77, 669])).
% 4.34/4.57 tff(17826,plain,
% 4.34/4.57 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[201, 17825])).
% 4.34/4.57 tff(17827,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[15568, 17826, 17791, 1020])).
% 4.34/4.57 tff(17828,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[295, 17827])).
% 4.34/4.57 tff(17829,plain,
% 4.34/4.57 (~r(z, s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[5940, 17826, 17756, 1020])).
% 4.34/4.57 tff(17830,plain,
% 4.34/4.57 (b(z, s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[267, 17829])).
% 4.34/4.57 tff(17831,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(17832,plain,
% 4.34/4.57 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(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(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(rewrite,[status(thm)],[])).
% 4.34/4.57 tff(17833,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.34/4.57 inference(monotonicity,[status(thm)],[17832])).
% 4.34/4.57 tff(17834,plain,
% 4.34/4.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(transitivity,[status(thm)],[17833, 17831])).
% 4.34/4.57 tff(17835,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.34/4.57 inference(quant_inst,[status(thm)],[])).
% 4.34/4.57 tff(17836,plain,
% 4.34/4.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.34/4.57 inference(modus_ponens,[status(thm)],[17835, 17834])).
% 4.34/4.57 tff(17837,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17836, 91, 76, 429, 1073, 526, 297])).
% 4.34/4.57 tff(17838,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17839,plain,
% 4.34/4.57 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17838, 17830, 17761, 17812, 17828])).
% 4.34/4.57 tff(17840,plain,
% 4.34/4.57 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[542, 17839])).
% 4.34/4.57 tff(17841,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[12250, 125, 14848, 75, 203, 17756, 545])).
% 4.34/4.57 tff(17842,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17843,plain,
% 4.34/4.57 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17842, 17840, 203])).
% 4.34/4.57 tff(17844,plain,
% 4.34/4.57 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[113, 17843])).
% 4.34/4.57 tff(17845,plain,
% 4.34/4.57 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[7526, 17844, 669, 77, 17822, 17830])).
% 4.34/4.57 tff(17846,plain,
% 4.34/4.57 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[427, 17845])).
% 4.34/4.57 tff(17847,plain,
% 4.34/4.57 ($false),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[11201, 125, 14848, 203, 17846, 17840, 17824])).
% 4.34/4.57 tff(17848,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.57 tff(17849,plain,
% 4.34/4.57 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17848, 1020, 77, 203, 73])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[201, 17851])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[5940, 17852, 17756, 1020])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[6077, 17858, 17756, 73, 1020])).
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% 4.34/4.57 tff(17863,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[14097, 17865, 76])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[295, 17866])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[174, 17865])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[9068, 17868, 17756, 1020])).
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% 4.34/4.57 tff(17873,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[15568, 17880, 17878, 1020])).
% 4.34/4.57 tff(17882,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[295, 17881])).
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% 4.34/4.57 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4012, 17882, 298, 77])).
% 4.34/4.57 tff(17884,plain,
% 4.34/4.57 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[542, 17883])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[5940, 17880, 17756, 1020])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[267, 17885])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[5950, 17886, 77, 81])).
% 4.34/4.57 tff(17888,plain,
% 4.34/4.57 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[163, 17887])).
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% 4.34/4.57 tff(17891,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[113, 17891])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[7832, 17892, 17756, 17850, 1020])).
% 4.34/4.57 tff(17894,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[201, 17893])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[17842, 17892, 203])).
% 4.34/4.57 tff(17896,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[542, 17895])).
% 4.34/4.57 tff(17897,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[7939, 17896, 17761, 17894])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[563, 17897])).
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% 4.34/4.57 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4012, 17896, 17876, 77])).
% 4.34/4.57 tff(17900,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[295, 17899])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[17797, 125, 14848, 17756, 17874])).
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% 4.34/4.57 tff(17904,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[427, 17906])).
% 4.34/4.57 tff(17908,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[15349, 17907, 203, 204])).
% 4.34/4.57 tff(17909,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[174, 17908])).
% 4.34/4.57 tff(17910,plain,
% 4.34/4.57 ((~r(s(s(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)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4002, 14848])).
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[17910, 545, 17756, 17905, 204, 17909])).
% 4.34/4.57 tff(17912,plain,
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% 4.34/4.57 inference(unit_resolution,[status(thm)],[201, 17911])).
% 4.34/4.57 tff(17913,plain,
% 4.34/4.57 (~r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[4367, 545, 73, 203, 204])).
% 4.34/4.57 tff(17914,plain,
% 4.34/4.57 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[163, 17913])).
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% 4.34/4.57 tff(17917,plain,
% 4.34/4.57 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[17916, 204, 73, 203, 77])).
% 4.34/4.57 tff(17918,plain,
% 4.34/4.57 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.57 inference(unit_resolution,[status(thm)],[542, 17917])).
% 4.34/4.58 tff(17919,plain,
% 4.34/4.58 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[9115, 669, 74, 81])).
% 4.34/4.58 tff(17920,plain,
% 4.34/4.58 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[427, 17919])).
% 4.34/4.58 tff(17921,plain,
% 4.34/4.58 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[8071, 125, 203, 17756, 17920])).
% 4.34/4.58 tff(17922,plain,
% 4.34/4.58 (~r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17921, 269])).
% 4.34/4.58 tff(17923,plain,
% 4.34/4.58 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[163, 17922])).
% 4.34/4.58 tff(17924,plain,
% 4.34/4.58 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[6302, 17923, 77, 669])).
% 4.34/4.58 tff(17925,plain,
% 4.34/4.58 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[563, 17924])).
% 4.34/4.58 tff(17926,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[6914, 17925, 204, 269])).
% 4.34/4.58 tff(17927,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[336, 17926])).
% 4.34/4.58 tff(17928,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[4012, 16597, 17767, 526, 77])).
% 4.34/4.58 tff(17929,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(17930,plain,
% 4.34/4.58 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17929, 526, 77, 17920])).
% 4.34/4.58 tff(17931,plain,
% 4.34/4.58 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1093, 17930])).
% 4.34/4.58 tff(17932,plain,
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% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(17933,plain,
% 4.34/4.58 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(17934,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[17933])).
% 4.34/4.58 tff(17935,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[17934, 17932])).
% 4.34/4.58 tff(17936,plain,
% 4.34/4.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.34/4.58 inference(quant_inst,[status(thm)],[])).
% 4.34/4.58 tff(17937,plain,
% 4.34/4.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[17936, 17935])).
% 4.34/4.58 tff(17938,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17937, 91, 81, 17923, 17931, 17927, 74, 526])).
% 4.34/4.58 tff(17939,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(17940,plain,
% 4.34/4.58 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17939, 17765, 17905, 17918, 204, 77, 17763, 203])).
% 4.34/4.58 tff(17941,plain,
% 4.34/4.58 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[295, 17940])).
% 4.34/4.58 tff(17942,plain,
% 4.34/4.58 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[4012, 17941, 17918, 77])).
% 4.34/4.58 tff(17943,plain,
% 4.34/4.58 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[246, 17942])).
% 4.34/4.58 tff(17944,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[378, 17943, 73, 204])).
% 4.34/4.58 tff(17945,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[336, 17944])).
% 4.34/4.58 tff(17946,plain,
% 4.34/4.58 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17929, 17918, 77, 17907])).
% 4.34/4.58 tff(17947,plain,
% 4.34/4.58 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1093, 17946])).
% 4.34/4.58 tff(17948,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(17949,plain,
% 4.34/4.58 (((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(17950,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[17949])).
% 4.34/4.58 tff(17951,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[17950, 17948])).
% 4.34/4.58 tff(17952,plain,
% 4.34/4.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.34/4.58 inference(quant_inst,[status(thm)],[])).
% 4.34/4.58 tff(17953,plain,
% 4.34/4.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.34/4.58 inference(modus_ponens,[status(thm)],[17952, 17951])).
% 4.34/4.58 tff(17954,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17953, 91, 17947, 17945, 17905, 17918, 17941])).
% 4.34/4.58 tff(17955,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(17956,plain,
% 4.34/4.58 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17955, 77, 73, 203])).
% 4.34/4.58 tff(17957,plain,
% 4.34/4.58 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[69, 17956])).
% 4.34/4.58 tff(17958,plain,
% 4.34/4.58 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[224, 75, 203, 215])).
% 4.34/4.58 tff(17959,plain,
% 4.34/4.58 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[246, 17958])).
% 4.34/4.58 tff(17960,plain,
% 4.34/4.58 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17842, 75, 203])).
% 4.34/4.58 tff(17961,plain,
% 4.34/4.58 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[542, 17960])).
% 4.34/4.58 tff(17962,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[4012, 17961, 17959, 17767, 77])).
% 4.34/4.58 tff(17963,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(17964,plain,
% 4.34/4.58 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17963, 215, 203, 77])).
% 4.34/4.58 tff(17965,plain,
% 4.34/4.58 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[113, 17964])).
% 4.34/4.58 tff(17966,plain,
% 4.34/4.58 ((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1243, 14848])).
% 4.34/4.58 tff(17967,plain,
% 4.34/4.58 (~r(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17966, 545, 17756])).
% 4.34/4.58 tff(17968,plain,
% 4.34/4.58 (b(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[267, 17967])).
% 4.34/4.58 tff(17969,plain,
% 4.34/4.58 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[5950, 17968, 77, 17965])).
% 4.34/4.58 tff(17970,plain,
% 4.34/4.58 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[163, 17969])).
% 4.34/4.58 tff(17971,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[11201, 125, 14848, 203, 71, 545, 136])).
% 4.34/4.58 tff(17972,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(17973,plain,
% 4.34/4.58 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17972, 545, 203, 17970])).
% 4.34/4.58 tff(17974,plain,
% 4.34/4.58 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[427, 17973])).
% 4.34/4.58 tff(17975,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[9115, 17974, 17905, 17965])).
% 4.34/4.58 tff(17976,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[689, 17975])).
% 4.34/4.58 tff(17977,plain,
% 4.34/4.58 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[144, 17976, 73, 17970])).
% 4.34/4.58 tff(17978,plain,
% 4.34/4.58 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[563, 17977])).
% 4.34/4.58 tff(17979,plain,
% 4.34/4.58 (~b(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[6362, 318, 76, 17767])).
% 4.34/4.58 tff(17980,plain,
% 4.34/4.58 (r(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[563, 17979])).
% 4.34/4.58 tff(17981,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[144, 17980, 73, 136])).
% 4.34/4.58 tff(17982,plain,
% 4.34/4.58 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[689, 17981])).
% 4.34/4.58 tff(17983,plain,
% 4.34/4.58 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[9115, 17982, 74, 81])).
% 4.34/4.58 tff(17984,plain,
% 4.34/4.58 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[427, 17983])).
% 4.34/4.58 tff(17985,plain,
% 4.34/4.58 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[6057, 17982, 76, 318])).
% 4.34/4.58 tff(17986,plain,
% 4.34/4.58 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[246, 17985])).
% 4.34/4.58 tff(17987,plain,
% 4.34/4.58 ($false),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[15332, 17986, 17984, 215])).
% 4.34/4.58 tff(17988,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(17989,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 4.34/4.58 tff(17990,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[336, 17989])).
% 4.34/4.58 tff(17991,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[10183, 17976, 545, 17970, 17990])).
% 4.34/4.58 tff(17992,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[201, 17991])).
% 4.34/4.58 tff(17993,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[8612, 17992, 17978, 17957, 17767])).
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% 4.34/4.58 tff(17995,plain,
% 4.34/4.58 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[17994, 215, 203, 73, 77])).
% 4.34/4.58 tff(17996,plain,
% 4.34/4.58 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[542, 17995])).
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% 4.34/4.58 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[246, 17997])).
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[17929, 17996, 77, 215])).
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[427, 17999])).
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% 4.34/4.58 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[9115, 18000, 17905, 17965])).
% 4.34/4.58 tff(18002,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[689, 18001])).
% 4.34/4.58 tff(18003,plain,
% 4.34/4.58 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[13799, 18002, 73, 17998, 203, 17957])).
% 4.34/4.58 tff(18004,plain,
% 4.34/4.58 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[5666, 18003])).
% 4.34/4.58 tff(18005,plain,
% 4.34/4.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[4195, 18002, 203, 17998])).
% 4.34/4.58 tff(18006,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[336, 18005])).
% 4.34/4.58 tff(18007,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[17988, 18006, 17957, 17905, 17965, 73, 215])).
% 4.34/4.58 tff(18008,plain,
% 4.34/4.58 (b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[163, 18007])).
% 4.34/4.58 tff(18009,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[10222, 18008, 77, 18004])).
% 4.34/4.58 tff(18010,plain,
% 4.34/4.58 (r(s(z), s(s(z)))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1004, 18009])).
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% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(18012,plain,
% 4.34/4.58 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(18013,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[18012])).
% 4.34/4.58 tff(18014,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[18013, 18011])).
% 4.34/4.58 tff(18015,plain,
% 4.34/4.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 4.34/4.58 inference(quant_inst,[status(thm)],[])).
% 4.34/4.58 tff(18016,plain,
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% 4.34/4.58 inference(modus_ponens,[status(thm)],[18015, 18014])).
% 4.34/4.58 tff(18017,plain,
% 4.34/4.58 (~b(s(s(z)), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[18016, 91, 77, 17965, 18008, 18004])).
% 4.34/4.58 tff(18018,plain,
% 4.34/4.58 (r(s(s(z)), z)),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[898, 18017])).
% 4.34/4.58 tff(18019,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(18020,plain,
% 4.34/4.58 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.58 inference(rewrite,[status(thm)],[])).
% 4.34/4.58 tff(18021,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.34/4.58 inference(monotonicity,[status(thm)],[18020])).
% 4.34/4.58 tff(18022,plain,
% 4.34/4.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.34/4.58 inference(transitivity,[status(thm)],[18021, 18019])).
% 4.34/4.58 tff(18023,plain,
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% 4.34/4.58 inference(quant_inst,[status(thm)],[])).
% 4.34/4.58 tff(18024,plain,
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% 4.34/4.58 inference(modus_ponens,[status(thm)],[18023, 18022])).
% 4.34/4.58 tff(18025,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[18024, 91, 77, 17965, 18008, 18004])).
% 4.34/4.58 tff(18026,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[3400, 18025])).
% 4.34/4.58 tff(18027,plain,
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% 4.34/4.58 tff(18028,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.58 tff(18029,plain,
% 4.34/4.58 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[18028, 77, 73, 203])).
% 4.34/4.58 tff(18030,plain,
% 4.34/4.58 (b(z, s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[1093, 18029])).
% 4.34/4.58 tff(18031,plain,
% 4.34/4.58 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[7474, 18030, 17905, 17957])).
% 4.34/4.58 tff(18032,plain,
% 4.34/4.58 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[336, 18031])).
% 4.34/4.58 tff(18033,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[17797, 125, 14848, 17756, 347])).
% 4.34/4.58 tff(18034,plain,
% 4.34/4.58 (~r(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[18033, 269])).
% 4.34/4.58 tff(18035,plain,
% 4.34/4.58 (b(s(z), s(s(s(s(z)))))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[563, 18034])).
% 4.34/4.58 tff(18036,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[14097, 269, 76])).
% 4.34/4.58 tff(18037,plain,
% 4.34/4.58 (~b(z, s(z))),
% 4.34/4.58 inference(unit_resolution,[status(thm)],[573, 18035, 74, 18036])).
% 4.34/4.58 tff(18038,plain,
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% 4.34/4.58 inference(unit_resolution,[status(thm)],[267, 18037])).
% 4.34/4.58 tff(18039,plain,
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% 4.34/4.59 inference(unit_resolution,[status(thm)],[17966, 18038, 17756])).
% 4.34/4.59 tff(18040,plain,
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% 4.34/4.59 inference(unit_resolution,[status(thm)],[542, 18039])).
% 4.34/4.59 tff(18041,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[7939, 18040, 76, 18035])).
% 4.34/4.59 tff(18042,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[201, 18041])).
% 4.34/4.59 tff(18043,plain,
% 4.34/4.59 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[14547, 18042, 347, 269, 77, 18035])).
% 4.34/4.59 tff(18044,plain,
% 4.34/4.59 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[163, 18043])).
% 4.34/4.59 tff(18045,plain,
% 4.34/4.59 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(18046,plain,
% 4.34/4.59 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(18047,plain,
% 4.34/4.59 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[18046])).
% 4.34/4.59 tff(18048,plain,
% 4.34/4.59 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 4.34/4.59 inference(transitivity,[status(thm)],[18047, 18045])).
% 4.34/4.59 tff(18049,plain,
% 4.34/4.59 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 4.34/4.59 inference(quant_inst,[status(thm)],[])).
% 4.34/4.59 tff(18050,plain,
% 4.34/4.59 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))),
% 4.34/4.59 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 4.34/4.59 tff(18051,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18050, 125, 765, 75, 411, 136, 269])).
% 4.34/4.59 tff(18052,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(18053,plain,
% 4.34/4.59 ((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18052, 14848])).
% 4.34/4.59 tff(18054,plain,
% 4.34/4.59 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18053, 18044, 17756, 269])).
% 4.34/4.59 tff(18055,plain,
% 4.34/4.59 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[113, 18054])).
% 4.34/4.59 tff(18056,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[7464, 125, 203, 544, 347, 115, 269])).
% 4.34/4.59 tff(18057,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(18058,plain,
% 4.34/4.59 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18057, 18042, 203, 347, 269])).
% 4.34/4.59 tff(18059,plain,
% 4.34/4.59 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[689, 18058])).
% 4.34/4.59 tff(18060,plain,
% 4.34/4.59 (~b(s(s(s(s(s(z))))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[9115, 18059, 74, 18055])).
% 4.34/4.59 tff(18061,plain,
% 4.34/4.59 (r(s(s(s(s(s(z))))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[427, 18060])).
% 4.34/4.59 tff(18062,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[8071, 125, 203, 17756, 18061, 18044, 269])).
% 4.34/4.59 tff(18063,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(18064,plain,
% 4.34/4.59 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18063, 17905, 203, 18032, 77, 17957])).
% 4.34/4.59 tff(18065,plain,
% 4.34/4.59 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[295, 18064])).
% 4.34/4.59 tff(18066,plain,
% 4.34/4.59 (~r(s(s(s(s(s(z))))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[15422, 75, 203])).
% 4.34/4.59 tff(18067,plain,
% 4.34/4.59 (b(s(s(s(s(s(z))))), z)),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[427, 18066])).
% 4.34/4.59 tff(18068,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(18069,plain,
% 4.34/4.59 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.34/4.59 inference(rewrite,[status(thm)],[])).
% 4.34/4.59 tff(18070,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 4.34/4.59 inference(monotonicity,[status(thm)],[18069])).
% 4.34/4.59 tff(18071,plain,
% 4.34/4.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.34/4.59 inference(transitivity,[status(thm)],[18070, 18068])).
% 4.34/4.59 tff(18072,plain,
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% 4.34/4.59 inference(quant_inst,[status(thm)],[])).
% 4.34/4.59 tff(18073,plain,
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% 4.34/4.59 inference(modus_ponens,[status(thm)],[18072, 18071])).
% 4.34/4.59 tff(18074,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18073, 91, 77, 18067, 1073, 669, 74, 17961])).
% 4.34/4.59 tff(18075,plain,((~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(18076,plain,
% 4.34/4.59 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18075, 669, 1073, 77, 74, 203])).
% 4.34/4.59 tff(18077,plain,
% 4.34/4.59 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[113, 18076])).
% 4.34/4.59 tff(18078,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[10514, 91, 77, 18077, 1073, 669, 74, 297])).
% 4.34/4.59 tff(18079,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(18080,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18079, 77, 18030, 17905, 18065, 203])).
% 4.34/4.59 tff(18081,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[689, 18080])).
% 4.34/4.59 tff(18082,plain,
% 4.34/4.59 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.34/4.59 tff(18083,plain,
% 4.34/4.59 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.34/4.59 tff(18084,plain,
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% 4.34/4.59 inference(unit_resolution,[status(thm)],[4012, 18083, 18065, 77])).
% 4.34/4.59 tff(18085,plain,
% 4.34/4.59 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[542, 18084])).
% 4.34/4.59 tff(18086,plain,
% 4.34/4.59 (~r(z, s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[17842, 18085, 203])).
% 4.34/4.59 tff(18087,plain,
% 4.34/4.59 (b(z, s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[113, 18086])).
% 4.34/4.59 tff(18088,plain,
% 4.34/4.59 (~r(z, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[17966, 18085, 17756])).
% 4.34/4.59 tff(18089,plain,
% 4.34/4.59 (b(z, s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[267, 18088])).
% 4.34/4.59 tff(18090,plain,
% 4.34/4.59 (~b(s(z), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[5950, 18089, 77, 18087])).
% 4.34/4.59 tff(18091,plain,
% 4.34/4.59 (r(s(z), s(s(s(s(s(z))))))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[163, 18090])).
% 4.34/4.59 tff(18092,plain,
% 4.34/4.59 (~b(s(s(s(s(z)))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[6730, 18087, 77, 18030, 18083, 17957])).
% 4.34/4.59 tff(18093,plain,
% 4.34/4.59 (r(s(s(s(s(z)))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[201, 18092])).
% 4.34/4.59 tff(18094,plain,
% 4.34/4.59 ($false),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[10183, 18093, 18091, 18081, 18085, 18032])).
% 4.34/4.59 tff(18095,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.34/4.59 tff(18096,plain,
% 4.34/4.59 (~b(s(s(s(s(s(z))))), s(z))),
% 4.34/4.59 inference(unit_resolution,[status(thm)],[18095, 203, 73])).
% 4.34/4.59 tff(18097,plain,
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% 4.44/4.60 tff(18269,plain,
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% 4.44/4.60 tff(18270,plain,
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% 4.44/4.60 inference(unit_resolution,[status(thm)],[5666, 18269])).
% 4.44/4.60 tff(18271,plain,
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% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(18272,plain,
% 4.44/4.60 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(18273,plain,
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% 4.44/4.60 inference(monotonicity,[status(thm)],[18272])).
% 4.44/4.60 tff(18274,plain,
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% 4.44/4.60 inference(transitivity,[status(thm)],[18273, 18271])).
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% 4.44/4.60 inference(quant_inst,[status(thm)],[])).
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% 4.44/4.60 tff(18277,plain,
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% 4.44/4.60 inference(unit_resolution,[status(thm)],[18276, 91, 3151, 178, 5653, 1073, 318, 669])).
% 4.44/4.60 tff(18278,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(18279,plain,
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% 4.44/4.60 tff(18280,plain,
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% 4.44/4.60 tff(18281,plain,
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% 4.44/4.60 tff(18282,plain,
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% 4.44/4.60 tff(18283,plain,
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% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(18284,plain,
% 4.44/4.60 (((~r(s(s(z)), z)) | (~r(s(z), z)) | (~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(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(18285,plain,
% 4.44/4.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(z), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z))))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[18284])).
% 4.44/4.60 tff(18286,plain,
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% 4.44/4.60 inference(transitivity,[status(thm)],[18285, 18283])).
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% 4.44/4.60 inference(modus_ponens,[status(thm)],[18287, 18286])).
% 4.44/4.60 tff(18289,plain,
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% 4.44/4.60 tff(18290,plain,
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% 4.44/4.60 tff(18291,plain,
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% 4.44/4.60 inference(unit_resolution,[status(thm)],[3111, 18280, 204, 18268, 545])).
% 4.44/4.60 tff(18292,plain,
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% 4.44/4.60 tff(18293,plain,
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% 4.44/4.60 tff(18295,plain,
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% 4.44/4.60 tff(18304,plain,
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% 4.44/4.60 tff(18305,plain,
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% 4.44/4.60 tff(18306,plain,
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% 4.44/4.60 inference(monotonicity,[status(thm)],[18308])).
% 4.44/4.60 tff(18310,plain,
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% 4.44/4.60 inference(transitivity,[status(thm)],[18309, 18307])).
% 4.44/4.60 tff(18311,plain,
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% 4.44/4.60 inference(quant_inst,[status(thm)],[])).
% 4.44/4.60 tff(18312,plain,
% 4.44/4.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[18311, 18310])).
% 4.44/4.60 tff(18313,plain,
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% 4.44/4.60 inference(unit_resolution,[status(thm)],[18312, 91, 4456, 429, 178, 4925, 177, 74])).
% 4.44/4.60 tff(18314,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(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)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(18315,plain,
% 4.44/4.60 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[18314, 18306, 18266, 18248, 17968, 18258])).
% 4.44/4.60 tff(18316,plain,
% 4.44/4.60 (r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4476, 18315])).
% 4.44/4.60 tff(18317,plain,
% 4.44/4.60 (~r(s(s(z)), s(z))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4985, 125, 18252, 18260, 18316, 18304])).
% 4.44/4.60 tff(18318,plain,
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% 4.44/4.60 tff(18319,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(18320,plain,
% 4.44/4.60 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(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(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.44/4.60 inference(rewrite,[status(thm)],[])).
% 4.44/4.60 tff(18321,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 4.44/4.60 inference(monotonicity,[status(thm)],[18320])).
% 4.44/4.60 tff(18322,plain,
% 4.44/4.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.44/4.60 inference(transitivity,[status(thm)],[18321, 18319])).
% 4.44/4.60 tff(18323,plain,
% 4.44/4.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(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(s(s(s(z)))))))))),
% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(18324,plain,
% 4.44/4.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[18323, 18322])).
% 4.44/4.61 tff(18325,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18324, 91, 18302, 18250, 18214, 18318, 18254, 18300])).
% 4.44/4.61 tff(18326,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(18327,plain,
% 4.44/4.61 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18326, 1203, 73, 70, 545, 269, 318])).
% 4.44/4.61 tff(18328,plain,
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% 4.44/4.61 tff(18329,plain,
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% 4.44/4.61 inference(unit_resolution,[status(thm)],[201, 18328])).
% 4.44/4.61 tff(18330,plain,
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% 4.44/4.61 inference(unit_resolution,[status(thm)],[689, 18327])).
% 4.44/4.61 tff(18331,plain,
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% 4.44/4.61 inference(unit_resolution,[status(thm)],[133, 18330, 73, 1203])).
% 4.44/4.61 tff(18332,plain,
% 4.44/4.61 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 4.44/4.61 tff(18333,plain,
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% 4.44/4.61 tff(18334,plain,
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% 4.44/4.61 tff(18335,plain,
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% 4.44/4.61 inference(unit_resolution,[status(thm)],[314, 18334])).
% 4.44/4.61 tff(18336,plain,
% 4.44/4.61 (~r(s(z), s(s(s(s(s(z))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18053, 1203, 17756, 269])).
% 4.44/4.61 tff(18337,plain,
% 4.44/4.61 (b(s(z), s(s(s(s(s(z))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[163, 18336])).
% 4.44/4.61 tff(18338,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(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(X1, 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(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18339,plain,
% 4.44/4.61 (((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(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(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18340,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(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(X1, 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(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[18339])).
% 4.44/4.61 tff(18341,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(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: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.61 inference(transitivity,[status(thm)],[18340, 18338])).
% 4.44/4.61 tff(18342,plain,
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% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
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% 4.44/4.61 inference(modus_ponens,[status(thm)],[18342, 18341])).
% 4.44/4.61 tff(18344,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18343, 91, 17968, 18337, 17759, 18329, 18335, 18333])).
% 4.44/4.61 tff(18345,plain,(b(z, s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(18346,plain,
% 4.44/4.61 (b(z, s(s(s(s(s(z))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18345, 318, 73, 545, 269, 1])).
% 4.44/4.61 tff(18347,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(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(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18348,plain,
% 4.44/4.61 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(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(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18349,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(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(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[18348])).
% 4.44/4.61 tff(18350,plain,
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% 4.44/4.61 inference(transitivity,[status(thm)],[18349, 18347])).
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% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(18352,plain,
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% 4.44/4.61 tff(18353,plain,
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% 4.44/4.61 inference(unit_resolution,[status(thm)],[18352, 91, 565, 429, 1073, 318, 177, 74])).
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% 4.44/4.61 tff(18355,plain,
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% 4.44/4.61 tff(18356,plain,
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% 4.44/4.61 inference(unit_resolution,[status(thm)],[563, 18355])).
% 4.44/4.61 tff(18357,plain,
% 4.44/4.61 (~b(s(s(s(s(s(z))))), s(z))),
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% 4.44/4.61 inference(unit_resolution,[status(thm)],[394, 18357])).
% 4.44/4.61 tff(18359,plain,
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% 4.44/4.61 tff(18360,plain,
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% 4.44/4.61 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(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(s(z)))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18363,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(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(s(z))))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[18362])).
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% 4.44/4.61 tff(18367,plain,
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% 4.44/4.61 tff(18369,plain,
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% 4.44/4.61 tff(18370,plain,
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% 4.44/4.61 tff(18371,plain,
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% 4.44/4.61 tff(18372,plain,
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% 4.44/4.61 tff(18373,plain,
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% 4.44/4.61 tff(18376,plain,
% 4.44/4.61 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
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% 4.44/4.61 inference(transitivity,[status(thm)],[18377, 18375])).
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% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(18380,plain,
% 4.44/4.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 4.44/4.61 tff(18381,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18380, 125, 765, 135, 411, 80, 269])).
% 4.44/4.61 tff(18382,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(18383,plain,
% 4.44/4.61 ((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18382, 14848])).
% 4.44/4.61 tff(18384,plain,
% 4.44/4.61 (~r(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18383, 135, 17756, 269])).
% 4.44/4.61 tff(18385,plain,
% 4.44/4.61 (b(z, s(s(s(s(z)))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[174, 18384])).
% 4.44/4.61 tff(18386,plain,
% 4.44/4.61 (~b(s(s(z)), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[932, 18374, 18385, 74])).
% 4.44/4.61 tff(18387,plain,
% 4.44/4.61 (r(s(s(z)), z)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[898, 18386])).
% 4.44/4.61 tff(18388,plain,
% 4.44/4.61 (~r(z, s(s(z)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[15066, 18387, 18370])).
% 4.44/4.61 tff(18389,plain,
% 4.44/4.61 (b(z, s(s(z)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3400, 18388])).
% 4.44/4.61 tff(18390,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18391,plain,
% 4.44/4.61 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(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(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18392,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))))),
% 4.44/4.61 inference(monotonicity,[status(thm)],[18391])).
% 4.44/4.61 tff(18393,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.44/4.61 inference(transitivity,[status(thm)],[18392, 18390])).
% 4.44/4.61 tff(18394,plain,
% 4.44/4.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(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)))),
% 4.44/4.61 inference(quant_inst,[status(thm)],[])).
% 4.44/4.61 tff(18395,plain,
% 4.44/4.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[18394, 18393])).
% 4.44/4.61 tff(18396,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18395, 91, 18389, 81, 176, 18374, 74, 18372])).
% 4.44/4.61 tff(18397,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(18398,plain,
% 4.44/4.61 (~b(s(z), s(s(s(s(s(z))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18397, 18346, 18335, 70, 18356, 545, 18214, 269])).
% 4.44/4.61 tff(18399,plain,
% 4.44/4.61 (r(s(z), s(s(s(s(s(z))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[163, 18398])).
% 4.44/4.61 tff(18400,plain,
% 4.44/4.61 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[15319, 18399, 269, 70, 18356])).
% 4.44/4.61 tff(18401,plain,
% 4.44/4.61 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[246, 18400])).
% 4.44/4.61 tff(18402,plain,
% 4.44/4.61 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[18368, 18401, 18214, 18346, 17759])).
% 4.44/4.61 tff(18403,plain,
% 4.44/4.61 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3164, 18402])).
% 4.44/4.61 tff(18404,plain,
% 4.44/4.61 (~r(s(s(z)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[9469, 18403, 70, 18356, 545])).
% 4.44/4.61 tff(18405,plain,
% 4.44/4.61 (b(s(s(z)), s(z))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[857, 18404])).
% 4.44/4.61 tff(18406,plain,
% 4.44/4.61 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[3111, 18403, 70, 18356, 545])).
% 4.44/4.61 tff(18407,plain,
% 4.44/4.61 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[938, 18406])).
% 4.44/4.61 tff(18408,plain,
% 4.44/4.61 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.44/4.61 inference(rewrite,[status(thm)],[])).
% 4.44/4.61 tff(18409,plain,
% 4.44/4.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[18408])).
% 4.44/4.62 tff(18410,plain,
% 4.44/4.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(X1, 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(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[18409, 16493])).
% 4.44/4.62 tff(18411,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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)))))),
% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
% 4.44/4.62 tff(18412,plain,
% 4.44/4.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 4.44/4.62 inference(modus_ponens,[status(thm)],[18411, 18410])).
% 4.44/4.62 tff(18413,plain,
% 4.44/4.62 ($false),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[18412, 91, 923, 4925, 177, 3451])).
% 4.44/4.62 tff(18414,plain,((~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)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.62 tff(18415,plain,
% 4.44/4.62 (~b(s(z), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[18414, 18407, 18329, 18405])).
% 4.44/4.62 tff(18416,plain,
% 4.44/4.62 (r(s(z), s(s(z)))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[1004, 18415])).
% 4.44/4.62 tff(18417,plain,
% 4.44/4.62 (~r(z, s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[18383, 18356, 17756, 269])).
% 4.44/4.62 tff(18418,plain,
% 4.44/4.62 (b(z, s(s(s(s(z)))))),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[174, 18417])).
% 4.44/4.62 tff(18419,plain,
% 4.44/4.62 (~b(s(s(z)), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[932, 18407, 18418, 18335])).
% 4.44/4.62 tff(18420,plain,
% 4.44/4.62 (r(s(s(z)), z)),
% 4.44/4.62 inference(unit_resolution,[status(thm)],[898, 18419])).
% 4.44/4.62 tff(18421,plain,
% 4.44/4.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), 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)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), 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)))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(18422,plain,
% 4.44/4.62 (((~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~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(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), 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)))))),
% 4.44/4.62 inference(rewrite,[status(thm)],[])).
% 4.44/4.62 tff(18423,plain,
% 4.44/4.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), 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))))))),
% 4.44/4.62 inference(monotonicity,[status(thm)],[18422])).
% 4.44/4.62 tff(18424,plain,
% 4.44/4.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), 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)))))),
% 4.44/4.62 inference(transitivity,[status(thm)],[18423, 18421])).
% 4.44/4.62 tff(18425,plain,
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% 4.44/4.62 inference(quant_inst,[status(thm)],[])).
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% 4.44/4.63 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[542, 18669])).
% 4.44/4.63 tff(18671,plain,
% 4.44/4.63 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[69, 18666])).
% 4.44/4.63 tff(18672,plain,
% 4.44/4.63 (~b(s(s(s(s(z)))), s(z))),
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% 4.44/4.63 tff(18673,plain,
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[201, 18672])).
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% 4.44/4.63 inference(rewrite,[status(thm)],[])).
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% 4.44/4.63 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(18676,plain,
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% 4.44/4.63 inference(monotonicity,[status(thm)],[18675])).
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% 4.44/4.63 inference(transitivity,[status(thm)],[18676, 18674])).
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% 4.44/4.63 inference(quant_inst,[status(thm)],[])).
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% 4.44/4.63 inference(modus_ponens,[status(thm)],[18678, 18677])).
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[18679, 125, 14848, 18671, 18673, 17756, 18670])).
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% 4.44/4.63 tff(18682,plain,
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[18681, 216, 215, 73, 77])).
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[563, 18682])).
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[6077, 18683, 17756, 73, 18617])).
% 4.44/4.63 tff(18685,plain,
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[144, 18683, 73, 18617])).
% 4.44/4.63 tff(18687,plain,
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[689, 18686])).
% 4.44/4.63 tff(18688,plain,
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[9115, 18687, 18641, 18685])).
% 4.44/4.63 tff(18689,plain,
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% 4.44/4.63 inference(unit_resolution,[status(thm)],[113, 18688])).
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% 4.44/4.63 tff(18692,plain,
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% 4.44/4.63 tff(18696,plain,
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% 4.44/4.63 tff(18712,plain,
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% 4.44/4.63 tff(18741,plain,
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% 4.44/4.63 tff(18745,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(18746,plain,
% 4.44/4.63 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[18745, 298, 73, 215])).
% 4.44/4.63 tff(18747,plain,
% 4.44/4.63 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[10817, 18746, 18214, 298])).
% 4.44/4.63 tff(18748,plain,
% 4.44/4.63 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[689, 18747])).
% 4.44/4.63 tff(18749,plain,
% 4.44/4.63 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[8612, 18746, 18613, 18738])).
% 4.44/4.63 tff(18750,plain,
% 4.44/4.63 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[201, 18749])).
% 4.44/4.63 tff(18751,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[698, 18750, 18748, 18697, 18615])).
% 4.44/4.63 tff(18752,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(18753,plain,
% 4.44/4.63 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[18752, 215, 73])).
% 4.44/4.63 tff(18754,plain,
% 4.44/4.63 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[246, 18753])).
% 4.44/4.63 tff(18755,plain,
% 4.44/4.63 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[738, 135, 73, 410])).
% 4.44/4.63 tff(18756,plain,
% 4.44/4.63 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[201, 18755])).
% 4.44/4.63 tff(18757,plain,
% 4.44/4.63 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2993, 135, 73, 410, 216])).
% 4.44/4.63 tff(18758,plain,
% 4.44/4.63 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[542, 18757])).
% 4.44/4.63 tff(18759,plain,
% 4.44/4.63 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[2955, 18758, 18613, 18756])).
% 4.44/4.63 tff(18760,plain,
% 4.44/4.63 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[336, 18759])).
% 4.44/4.63 tff(18761,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[6810, 125, 410, 135, 18760, 216, 73])).
% 4.44/4.63 tff(18762,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(18763,plain,
% 4.44/4.63 (~r(s(z), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[18762, 18697, 18754, 73])).
% 4.44/4.63 tff(18764,plain,
% 4.44/4.63 (b(s(z), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[563, 18763])).
% 4.44/4.63 tff(18765,plain,
% 4.44/4.63 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[378, 347, 73, 18754])).
% 4.44/4.63 tff(18766,plain,
% 4.44/4.63 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[69, 18765])).
% 4.44/4.63 tff(18767,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(18768,plain,
% 4.44/4.63 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.63 inference(rewrite,[status(thm)],[])).
% 4.44/4.63 tff(18769,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.44/4.63 inference(monotonicity,[status(thm)],[18768])).
% 4.44/4.63 tff(18770,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.63 inference(transitivity,[status(thm)],[18769, 18767])).
% 4.44/4.63 tff(18771,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.63 inference(quant_inst,[status(thm)],[])).
% 4.44/4.63 tff(18772,plain,
% 4.44/4.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.44/4.63 inference(modus_ponens,[status(thm)],[18771, 18770])).
% 4.44/4.63 tff(18773,plain,
% 4.44/4.63 ($false),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[18772, 91, 76, 565, 81, 348, 74, 297])).
% 4.44/4.63 tff(18774,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.63 tff(18775,plain,
% 4.44/4.63 (~b(z, s(s(s(s(s(z))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[18774, 18766, 18764, 18214, 18699, 18613])).
% 4.44/4.63 tff(18776,plain,
% 4.44/4.63 (r(z, s(s(s(s(s(z))))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[113, 18775])).
% 4.44/4.63 tff(18777,plain,
% 4.44/4.63 (~r(z, s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[10462, 18776, 73, 215, 347])).
% 4.44/4.63 tff(18778,plain,
% 4.44/4.63 (b(z, s(s(s(s(z)))))),
% 4.44/4.63 inference(unit_resolution,[status(thm)],[174, 18777])).
% 4.44/4.63 tff(18779,plain,
% 4.44/4.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18780,plain,
% 4.44/4.64 (((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(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(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18781,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(z), s(s(s(s(s(s(z))))))))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[18780])).
% 4.44/4.64 tff(18782,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[18781, 18779])).
% 4.44/4.64 tff(18783,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(18784,plain,
% 4.44/4.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[18783, 18782])).
% 4.44/4.64 tff(18785,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18784, 91, 18766, 18764, 18778, 18699, 18613])).
% 4.44/4.64 tff(18786,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(18787,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18786, 215, 73])).
% 4.44/4.64 tff(18788,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[336, 18787])).
% 4.44/4.64 tff(18789,plain,
% 4.44/4.64 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[6362, 18788, 18764, 18613])).
% 4.44/4.64 tff(18790,plain,
% 4.44/4.64 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[69, 18789])).
% 4.44/4.64 tff(18791,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18711, 18790, 73, 18788, 18697])).
% 4.44/4.64 tff(18792,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[314, 18791])).
% 4.44/4.64 tff(18793,plain,
% 4.44/4.64 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18155, 18788, 18613, 18697, 73])).
% 4.44/4.64 tff(18794,plain,
% 4.44/4.64 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[542, 18793])).
% 4.44/4.64 tff(18795,plain,
% 4.44/4.64 (~r(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[17966, 18794, 17756])).
% 4.44/4.64 tff(18796,plain,
% 4.44/4.64 (b(z, s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[267, 18795])).
% 4.44/4.64 tff(18797,plain,
% 4.44/4.64 (~b(z, s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[573, 18796, 18764, 18792])).
% 4.44/4.64 tff(18798,plain,
% 4.44/4.64 (r(z, s(s(s(s(z)))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[174, 18797])).
% 4.44/4.64 tff(18799,plain,
% 4.44/4.64 (~r(s(s(s(s(z)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[15391, 18798, 18790, 18794])).
% 4.44/4.64 tff(18800,plain,
% 4.44/4.64 (b(s(s(s(s(z)))), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[201, 18799])).
% 4.44/4.64 tff(18801,plain,
% 4.44/4.64 (~b(z, s(s(s(s(s(z))))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[437, 18800, 18214, 18613, 18796, 18792])).
% 4.44/4.64 tff(18802,plain,
% 4.44/4.64 (r(z, s(s(s(s(s(z))))))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[113, 18801])).
% 4.44/4.64 tff(18803,plain,
% 4.44/4.64 (~r(z, s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[5288, 3103, 215, 75, 216])).
% 4.44/4.64 tff(18804,plain,
% 4.44/4.64 (b(z, s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3400, 18803])).
% 4.44/4.64 tff(18805,plain,
% 4.44/4.64 (~r(s(s(s(s(s(z))))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[5260, 216, 17756, 215, 410])).
% 4.44/4.64 tff(18806,plain,
% 4.44/4.64 (b(s(s(s(s(s(z))))), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[427, 18805])).
% 4.44/4.64 tff(18807,plain,
% 4.44/4.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(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)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(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)))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18808,plain,
% 4.44/4.64 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(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)))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18809,plain,
% 4.44/4.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(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))))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[18808])).
% 4.44/4.64 tff(18810,plain,
% 4.44/4.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(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)))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[18809, 18807])).
% 4.44/4.64 tff(18811,plain,
% 4.44/4.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(18812,plain,
% 4.44/4.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(z))))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 4.44/4.64 tff(18813,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18812, 125, 410, 4499, 216, 545, 4830])).
% 4.44/4.64 tff(18814,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(18815,plain,
% 4.44/4.64 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18814, 4499, 410, 216, 545])).
% 4.44/4.64 tff(18816,plain,
% 4.44/4.64 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[5101, 18815])).
% 4.44/4.64 tff(18817,plain,
% 4.44/4.64 (~b(s(s(z)), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[9455, 18816, 79, 3382])).
% 4.44/4.64 tff(18818,plain,
% 4.44/4.64 (r(s(s(z)), z)),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[898, 18817])).
% 4.44/4.64 tff(18819,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18426, 125, 14848, 18818, 4499, 3103, 545])).
% 4.44/4.64 tff(18820,plain,((~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))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(18821,plain,
% 4.44/4.64 (~r(s(z), s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18820, 3103, 545, 18806, 18804, 410, 216])).
% 4.44/4.64 tff(18822,plain,
% 4.44/4.64 (b(s(z), s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[1004, 18821])).
% 4.44/4.64 tff(18823,plain,
% 4.44/4.64 (~b(s(s(z)), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[7756, 18822, 17968, 565, 18804])).
% 4.44/4.64 tff(18824,plain,
% 4.44/4.64 (r(s(s(z)), s(z))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[857, 18823])).
% 4.44/4.64 tff(18825,plain,
% 4.44/4.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), 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), z)) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), 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), z)) | (~r(s(s(z)), s(z))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18826,plain,
% 4.44/4.64 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~r(s(s(s(s(s(s(z)))))), 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), z)) | (~r(s(s(z)), s(z))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18827,plain,
% 4.44/4.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), 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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), 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), z)) | (~r(s(s(z)), s(z)))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[18826])).
% 4.44/4.64 tff(18828,plain,
% 4.44/4.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), 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, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), 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), z)) | (~r(s(s(z)), s(z))))),
% 4.44/4.64 inference(transitivity,[status(thm)],[18827, 18825])).
% 4.44/4.64 tff(18829,plain,
% 4.44/4.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.44/4.64 inference(quant_inst,[status(thm)],[])).
% 4.44/4.64 tff(18830,plain,
% 4.44/4.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), s(z)))),
% 4.44/4.64 inference(modus_ponens,[status(thm)],[18829, 18828])).
% 4.44/4.64 tff(18831,plain,
% 4.44/4.64 ($false),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18830, 125, 14848, 17756, 3103, 545, 18824])).
% 4.44/4.64 tff(18832,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.64 tff(18833,plain,
% 4.44/4.64 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[18832, 18794, 18764, 18697, 18754, 215, 18802])).
% 4.44/4.64 tff(18834,plain,
% 4.44/4.64 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3164, 18833])).
% 4.44/4.64 tff(18835,plain,
% 4.44/4.64 (~r(z, s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[14711, 18834, 215, 18790, 18798])).
% 4.44/4.64 tff(18836,plain,
% 4.44/4.64 (b(z, s(s(z)))),
% 4.44/4.64 inference(unit_resolution,[status(thm)],[3400, 18835])).
% 4.44/4.64 tff(18837,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18838,plain,
% 4.44/4.64 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(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(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.64 inference(rewrite,[status(thm)],[])).
% 4.44/4.64 tff(18839,plain,
% 4.44/4.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(s(z)))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.44/4.64 inference(monotonicity,[status(thm)],[18838])).
% 4.44/4.64 tff(18840,plain,
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% 4.44/4.65 inference(unit_resolution,[status(thm)],[201, 18927])).
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% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(18930,plain,
% 4.44/4.65 (((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(18931,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[18930])).
% 4.44/4.65 tff(18932,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.44/4.65 inference(transitivity,[status(thm)],[18931, 18929])).
% 4.44/4.65 tff(18933,plain,
% 4.44/4.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(18934,plain,
% 4.44/4.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 4.44/4.65 tff(18935,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18934, 125, 544, 17756, 1020, 347, 545])).
% 4.44/4.65 tff(18936,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(18937,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18936, 18928, 18924, 18922])).
% 4.44/4.65 tff(18938,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[314, 18937])).
% 4.44/4.65 tff(18939,plain,
% 4.44/4.65 (~r(z, s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[17966, 18922, 17756])).
% 4.44/4.65 tff(18940,plain,
% 4.44/4.65 (b(z, s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[267, 18939])).
% 4.44/4.65 tff(18941,plain,
% 4.44/4.65 (~b(z, s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[573, 18938, 18894, 18940])).
% 4.44/4.65 tff(18942,plain,
% 4.44/4.65 (r(z, s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[174, 18941])).
% 4.44/4.65 tff(18943,plain,
% 4.44/4.65 (~b(s(s(s(s(s(z))))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1081, 81, 18214, 18846])).
% 4.44/4.65 tff(18944,plain,
% 4.44/4.65 (r(s(s(s(s(s(z))))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[427, 18943])).
% 4.44/4.65 tff(18945,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[15522, 125, 14848, 71, 347, 18866, 73])).
% 4.44/4.65 tff(18946,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(18947,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18946, 18944, 73])).
% 4.44/4.65 tff(18948,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[336, 18947])).
% 4.44/4.65 tff(18949,plain,
% 4.44/4.65 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[6362, 18948, 18894, 18613])).
% 4.44/4.65 tff(18950,plain,
% 4.44/4.65 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[69, 18949])).
% 4.44/4.65 tff(18951,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[15528, 18950, 73, 18866, 18944])).
% 4.44/4.65 tff(18952,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[314, 18951])).
% 4.44/4.65 tff(18953,plain,
% 4.44/4.65 (~b(z, s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[573, 18952, 18894, 17968])).
% 4.44/4.65 tff(18954,plain,
% 4.44/4.65 (r(z, s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[174, 18953])).
% 4.44/4.65 tff(18955,plain,
% 4.44/4.65 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[437, 18952, 18214, 18613, 81, 17968])).
% 4.44/4.65 tff(18956,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[201, 18955])).
% 4.44/4.65 tff(18957,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[15391, 18956, 18954, 545, 18950])).
% 4.44/4.65 tff(18958,plain,((~b(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(18959,plain,
% 4.44/4.65 (~b(z, s(s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18958, 18922, 73])).
% 4.44/4.65 tff(18960,plain,
% 4.44/4.65 (r(z, s(s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[113, 18959])).
% 4.44/4.65 tff(18961,plain,
% 4.44/4.65 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18095, 77, 73])).
% 4.44/4.65 tff(18962,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(18963,plain,
% 4.44/4.65 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(18964,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[18963])).
% 4.44/4.65 tff(18965,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[18964, 18962])).
% 4.44/4.65 tff(18966,plain,
% 4.44/4.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(18967,plain,
% 4.44/4.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[18966, 18965])).
% 4.44/4.65 tff(18968,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18967, 125, 3403, 75, 3102, 80, 73])).
% 4.44/4.65 tff(18969,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(18970,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18969, 3403, 18960, 18942, 73])).
% 4.44/4.65 tff(18971,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[938, 18970])).
% 4.44/4.65 tff(18972,plain,
% 4.44/4.65 (~r(s(s(z)), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[15840, 18971, 18926, 18924, 3151])).
% 4.44/4.65 tff(18973,plain,
% 4.44/4.65 (b(s(s(z)), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[898, 18972])).
% 4.44/4.65 tff(18974,plain,
% 4.44/4.65 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[8826, 18971, 18926, 3151])).
% 4.44/4.65 tff(18975,plain,
% 4.44/4.65 (r(s(s(z)), s(s(s(s(z)))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[4476, 18974])).
% 4.44/4.65 tff(18976,plain,
% 4.44/4.65 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[9621, 18975, 18942, 18960, 3403])).
% 4.44/4.65 tff(18977,plain,
% 4.44/4.65 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[5101, 18976])).
% 4.44/4.65 tff(18978,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18936, 544, 347, 545])).
% 4.44/4.65 tff(18979,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[1501])).
% 4.44/4.65 tff(18980,plain,
% 4.44/4.65 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.65 inference(symmetry,[status(thm)],[18979])).
% 4.44/4.65 tff(18981,plain,
% 4.44/4.65 ((~r(s(s(s(s(z)))), s(elem!1))) <=> (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[18980])).
% 4.44/4.65 tff(18982,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[1490, 18981])).
% 4.44/4.65 tff(18983,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[347, 18982])).
% 4.44/4.65 tff(18984,plain,((~(s(s(s(s(s(s(z)))))) = s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | r(s(s(s(s(z)))), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(18985,plain,
% 4.44/4.65 (~(s(s(s(s(s(s(z)))))) = s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18984, 1490, 347])).
% 4.44/4.65 tff(18986,plain,
% 4.44/4.65 (~(elem!1 = z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[12426, 1490, 544])).
% 4.44/4.65 tff(18987,plain,
% 4.44/4.65 (~(s(elem!1) = s(z))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1703, 18986])).
% 4.44/4.65 tff(18988,plain,
% 4.44/4.65 (~(s(z) = s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1512, 18987])).
% 4.44/4.65 tff(18989,plain,
% 4.44/4.65 (r(s(z), s(s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[163, 158])).
% 4.44/4.65 tff(18990,plain,
% 4.44/4.65 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[10183, 544, 18989, 545, 347])).
% 4.44/4.65 tff(18991,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[689, 18990])).
% 4.44/4.65 tff(18992,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[314, 18978])).
% 4.44/4.65 tff(18993,plain,
% 4.44/4.65 (~r(s(s(s(s(s(z))))), z)),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[5620, 75, 17756, 18989])).
% 4.44/4.65 tff(18994,plain,
% 4.44/4.65 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) <=> b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[1456])).
% 4.44/4.65 tff(18995,plain,
% 4.44/4.65 (b(s(s(s(s(s(s(z)))))), s(elem!1)) <=> b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.65 inference(symmetry,[status(thm)],[18994])).
% 4.44/4.65 tff(18996,plain,
% 4.44/4.65 ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) <=> (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[18995])).
% 4.44/4.65 tff(18997,plain,
% 4.44/4.65 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[1555, 18996])).
% 4.44/4.65 tff(18998,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[76, 18997])).
% 4.44/4.65 tff(18999,plain,((~(s(s(s(s(z)))) = s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(19000,plain,
% 4.44/4.65 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[18999, 1555, 76])).
% 4.44/4.65 tff(19001,plain,
% 4.44/4.65 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1495, 19000, 1490])).
% 4.44/4.65 tff(19002,plain,
% 4.44/4.65 (r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1562, 1555, 1556])).
% 4.44/4.65 tff(19003,plain,
% 4.44/4.65 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) <=> r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[1389])).
% 4.44/4.65 tff(19004,plain,
% 4.44/4.65 (r(s(s(s(s(s(s(z)))))), s(elem!1)) <=> r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.44/4.65 inference(symmetry,[status(thm)],[19003])).
% 4.44/4.65 tff(19005,plain,
% 4.44/4.65 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[1564, 19004])).
% 4.44/4.65 tff(19006,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1307, 19005])).
% 4.44/4.65 tff(19007,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(19008,plain,
% 4.44/4.65 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[19007, 19002, 1307])).
% 4.44/4.65 tff(19009,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(elem!1))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(19010,plain,
% 4.44/4.65 (((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(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(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(elem!1))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(19011,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(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(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(elem!1)))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[19010])).
% 4.44/4.65 tff(19012,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(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(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(elem!1))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[19011, 19009])).
% 4.44/4.65 tff(19013,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(19014,plain,
% 4.44/4.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(elem!1)))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[19013, 19012])).
% 4.44/4.65 tff(19015,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[19014, 91, 77, 76, 348, 669, 1642, 1506])).
% 4.44/4.65 tff(19016,plain,((~b(s(z), s(elem!1))) | (~b(s(s(s(s(s(z))))), 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(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(19017,plain,
% 4.44/4.65 (~b(s(z), s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[19016, 19001, 76, 348, 669, 77])).
% 4.44/4.65 tff(19018,plain,
% 4.44/4.65 (r(s(z), s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1655, 19017, 12818])).
% 4.44/4.65 tff(19019,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(19020,plain,
% 4.44/4.65 (((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 4.44/4.65 inference(rewrite,[status(thm)],[])).
% 4.44/4.65 tff(19021,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))))),
% 4.44/4.65 inference(monotonicity,[status(thm)],[19020])).
% 4.44/4.65 tff(19022,plain,
% 4.44/4.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1))))),
% 4.44/4.65 inference(transitivity,[status(thm)],[19021, 19019])).
% 4.44/4.65 tff(19023,plain,
% 4.44/4.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)))),
% 4.44/4.65 inference(quant_inst,[status(thm)],[])).
% 4.44/4.65 tff(19024,plain,
% 4.44/4.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(elem!1)))),
% 4.44/4.65 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 4.44/4.65 tff(19025,plain,
% 4.44/4.65 ($false),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[19024, 125, 75, 1816, 1672, 411, 136])).
% 4.44/4.65 tff(19026,plain,((~r(s(z), s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.65 tff(19027,plain,
% 4.44/4.65 (~r(s(s(s(s(s(z))))), s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[19026, 19018, 17756, 75, 136])).
% 4.44/4.65 tff(19028,plain,
% 4.44/4.65 (b(s(s(s(s(s(z))))), s(elem!1))),
% 4.44/4.65 inference(unit_resolution,[status(thm)],[1718, 19027, 19008])).
% 4.44/4.65 tff(19029,plain,
% 4.44/4.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19030,plain,
% 4.44/4.66 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19031,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19030])).
% 4.44/4.66 tff(19032,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[19031, 19029])).
% 4.44/4.66 tff(19033,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(19034,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[19033, 19032])).
% 4.44/4.66 tff(19035,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19034, 91, 1707, 77, 19028, 429, 669, 19001])).
% 4.44/4.66 tff(19036,plain,(b(s(s(s(s(s(s(z)))))), s(elem!1)) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (s(z) = s(elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | r(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (s(s(s(s(s(s(z)))))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(19037,plain,
% 4.44/4.66 (b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19036, 1707, 77, 429, 669, 75, 18989, 12818, 76, 348, 1490, 1307, 1556])).
% 4.44/4.66 tff(19038,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19039,plain,
% 4.44/4.66 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19040,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19039])).
% 4.44/4.66 tff(19041,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[19040, 19038])).
% 4.44/4.66 tff(19042,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(19043,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(elem!1), z)) | (~b(s(s(s(s(s(z))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[19042, 19041])).
% 4.44/4.66 tff(19044,plain,
% 4.44/4.66 (~b(s(s(s(s(s(z))))), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19043, 91, 1707, 77, 429, 348, 19037])).
% 4.44/4.66 tff(19045,assumption,(~b(s(s(s(s(s(z))))), s(elem!1))), introduced(assumption)).
% 4.44/4.66 tff(19046,assumption,(~b(s(z), s(elem!1))), introduced(assumption)).
% 4.44/4.66 tff(19047,plain,
% 4.44/4.66 (r(s(z), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1655, 19046, 12818])).
% 4.44/4.66 tff(19048,plain,
% 4.44/4.66 (~r(s(s(s(s(s(z))))), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19026, 19047, 17756, 75, 136])).
% 4.44/4.66 tff(19049,plain,
% 4.44/4.66 (s(s(s(s(s(z))))) = s(elem!1)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1718, 19048, 19045])).
% 4.44/4.66 tff(19050,plain,
% 4.44/4.66 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(elem!1), s(s(z)))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19049])).
% 4.44/4.66 tff(19051,plain,
% 4.44/4.66 (b(s(elem!1), s(s(z))) <=> b(s(s(s(s(s(z))))), s(s(z)))),
% 4.44/4.66 inference(symmetry,[status(thm)],[19050])).
% 4.44/4.66 tff(19052,plain,
% 4.44/4.66 ((~b(s(elem!1), s(s(z)))) <=> (~b(s(s(s(s(s(z))))), s(s(z))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19051])).
% 4.44/4.66 tff(19053,plain,
% 4.44/4.66 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(s(z)))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[1961])).
% 4.44/4.66 tff(19054,plain,
% 4.44/4.66 (b(s(z), s(s(s(s(z))))) <=> b(s(z), s(elem!1))),
% 4.44/4.66 inference(symmetry,[status(thm)],[19053])).
% 4.44/4.66 tff(19055,plain,
% 4.44/4.66 (b(s(z), s(elem!1))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[565, 19054])).
% 4.44/4.66 tff(19056,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19046, 19055])).
% 4.44/4.66 tff(19057,plain,((~(s(elem!1) = s(s(s(s(z)))))) | b(s(z), s(elem!1)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(19058,plain,
% 4.44/4.66 (~(s(elem!1) = s(s(s(s(z)))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19057, 19046, 565])).
% 4.44/4.66 tff(19059,plain,
% 4.44/4.66 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1459, 19058])).
% 4.44/4.66 tff(19060,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1495, 19059, 1490])).
% 4.44/4.66 tff(19061,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19062,plain,
% 4.44/4.66 (((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19063,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19062])).
% 4.44/4.66 tff(19064,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.66 inference(transitivity,[status(thm)],[19063, 19061])).
% 4.44/4.66 tff(19065,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1), s(s(z)))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(19066,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 4.44/4.66 tff(19067,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19066, 91, 3190, 924, 76, 74, 1544, 1506])).
% 4.44/4.66 tff(19068,plain,((~b(s(s(z)), z)) | (~b(s(elem!1), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(19069,plain,
% 4.44/4.66 (~b(s(elem!1), s(s(z)))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19068, 19060, 76, 74, 924, 1544])).
% 4.44/4.66 tff(19070,plain,
% 4.44/4.66 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[19069, 19052])).
% 4.44/4.66 tff(19071,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[4841, 19070])).
% 4.44/4.66 tff(19072,plain,(b(s(z), s(elem!1)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | b(s(s(s(s(s(z))))), s(elem!1)) | r(s(s(s(s(z)))), s(elem!1)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (s(z) = s(elem!1)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(19073,plain,
% 4.44/4.66 (b(s(z), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19072, 19037, 76, 74, 924, 4841, 19044, 1490, 75, 18989, 12818, 565])).
% 4.44/4.66 tff(19074,plain,
% 4.44/4.66 (~b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19016, 19073, 76, 348, 669, 77])).
% 4.44/4.66 tff(19075,plain,
% 4.44/4.66 (s(s(s(s(z)))) = s(elem!1)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1495, 19074, 1490])).
% 4.44/4.66 tff(19076,plain,
% 4.44/4.66 (s(elem!1) = s(s(s(s(z))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1459, 19075])).
% 4.44/4.66 tff(19077,plain,
% 4.44/4.66 (r(s(s(elem!1)), z) <=> r(s(s(s(s(s(z))))), z)),
% 4.44/4.66 inference(monotonicity,[status(thm)],[1974])).
% 4.44/4.66 tff(19078,plain,
% 4.44/4.66 (r(s(s(s(s(s(z))))), z) <=> r(s(s(elem!1)), z)),
% 4.44/4.66 inference(symmetry,[status(thm)],[19077])).
% 4.44/4.66 tff(19079,plain,
% 4.44/4.66 ((~r(s(s(s(s(s(z))))), z)) <=> (~r(s(s(elem!1)), z))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19078])).
% 4.44/4.66 tff(19080,plain,
% 4.44/4.66 (~r(s(s(elem!1)), z)),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[421, 19079])).
% 4.44/4.66 tff(19081,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1853, 19080])).
% 4.44/4.66 tff(19082,plain,(r(s(s(s(s(s(z))))), z) | (~r(s(s(elem!1)), z)) | (~(s(elem!1) = s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(19083,plain,
% 4.44/4.66 (~r(s(s(elem!1)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19082, 19076, 18993])).
% 4.44/4.66 tff(19084,plain,
% 4.44/4.66 (b(s(s(elem!1)), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1872, 19083])).
% 4.44/4.66 tff(19085,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(s(elem!1))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19075])).
% 4.44/4.66 tff(19086,plain,
% 4.44/4.66 (b(s(elem!1), s(s(elem!1))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.66 inference(symmetry,[status(thm)],[19085])).
% 4.44/4.66 tff(19087,plain,
% 4.44/4.66 (s(s(s(s(s(z))))) = s(s(elem!1))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19075])).
% 4.44/4.66 tff(19088,plain,
% 4.44/4.66 (b(s(elem!1), s(s(s(s(s(z)))))) <=> b(s(elem!1), s(s(elem!1)))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19087])).
% 4.44/4.66 tff(19089,plain,
% 4.44/4.66 (b(s(elem!1), s(s(s(s(s(z)))))) <=> b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.66 inference(transitivity,[status(thm)],[19088, 19086])).
% 4.44/4.66 tff(19090,plain,
% 4.44/4.66 (b(s(s(s(s(s(z))))), z)),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[427, 18993])).
% 4.44/4.66 tff(19091,plain,
% 4.44/4.66 (~b(z, s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[12410, 1707, 74, 669, 19090])).
% 4.44/4.66 tff(19092,plain,
% 4.44/4.66 (r(z, s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1583, 19091])).
% 4.44/4.66 tff(19093,plain,
% 4.44/4.66 (b(s(z), s(s(s(s(s(z)))))) <=> b(s(z), s(elem!1))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[1389])).
% 4.44/4.66 tff(19094,plain,
% 4.44/4.66 (b(s(z), s(elem!1)) <=> b(s(z), s(s(s(s(s(z))))))),
% 4.44/4.66 inference(symmetry,[status(thm)],[19093])).
% 4.44/4.66 tff(19095,plain,
% 4.44/4.66 (b(s(z), s(s(s(s(s(z))))))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[1642, 19094])).
% 4.44/4.66 tff(19096,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[158, 19095])).
% 4.44/4.66 tff(19097,plain,((~(s(s(s(s(s(z))))) = s(elem!1))) | b(s(z), s(s(s(s(s(z)))))) | (~b(s(z), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(19098,plain,
% 4.44/4.66 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19097, 19073, 158])).
% 4.44/4.66 tff(19099,plain,
% 4.44/4.66 (~(s(elem!1) = s(s(s(s(s(z))))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[12781, 19098])).
% 4.44/4.66 tff(19100,plain,
% 4.44/4.66 (~(s(s(s(s(s(z))))) = s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[13188, 13186])).
% 4.44/4.66 tff(19101,plain,
% 4.44/4.66 (r(s(s(s(s(s(z))))), s(elem!1))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[1718, 19100, 19045])).
% 4.44/4.66 tff(19102,assumption,(~b(s(elem!1), s(s(s(s(s(z))))))), introduced(assumption)).
% 4.44/4.66 tff(19103,plain,
% 4.44/4.66 ((s(elem!1) = s(s(s(s(s(z)))))) | r(s(elem!1), s(s(s(s(s(z))))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[13014, 64, 19102])).
% 4.44/4.66 tff(19104,plain,
% 4.44/4.66 (r(s(elem!1), s(s(s(s(s(z))))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19103, 13186])).
% 4.44/4.66 tff(19105,plain,
% 4.44/4.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19106,plain,
% 4.44/4.66 (((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1)))) <=> ((~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19107,plain,
% 4.44/4.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1)))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19106])).
% 4.44/4.66 tff(19108,plain,
% 4.44/4.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[19107, 19105])).
% 4.44/4.66 tff(19109,plain,
% 4.44/4.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(19110,plain,
% 4.44/4.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(elem!1), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(elem!1)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 4.44/4.66 tff(19111,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19110, 125, 1565, 75, 19104, 19101])).
% 4.44/4.66 tff(19112,plain,((s(elem!1) = s(s(s(s(s(z)))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | b(s(s(s(s(s(z))))), s(elem!1)) | b(s(elem!1), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.66 tff(19113,plain,
% 4.44/4.66 (b(s(elem!1), s(s(s(s(s(z))))))),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19112, 19099, 75, 19092, 19044])).
% 4.44/4.66 tff(19114,plain,
% 4.44/4.66 (b(s(s(s(s(z)))), s(s(elem!1)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[19113, 19089])).
% 4.44/4.66 tff(19115,plain,
% 4.44/4.66 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(s(elem!1)), s(s(z)))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19087])).
% 4.44/4.66 tff(19116,plain,
% 4.44/4.66 (b(s(s(elem!1)), s(s(z)))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[4841, 19115])).
% 4.44/4.66 tff(19117,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19118,plain,
% 4.44/4.66 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(elem!1)), s(s(z)))) | (~b(z, s(s(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(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.66 inference(rewrite,[status(thm)],[])).
% 4.44/4.66 tff(19119,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1)), s(s(z)))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(z))))))),
% 4.44/4.66 inference(monotonicity,[status(thm)],[19118])).
% 4.44/4.66 tff(19120,plain,
% 4.44/4.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1)), s(s(z)))) | (~b(z, s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(z)))))),
% 4.44/4.66 inference(transitivity,[status(thm)],[19119, 19117])).
% 4.44/4.66 tff(19121,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(elem!1)), s(s(z)))) | (~b(z, s(s(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)))))),
% 4.44/4.66 inference(quant_inst,[status(thm)],[])).
% 4.44/4.66 tff(19122,plain,
% 4.44/4.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(s(s(elem!1)), z)) | (~b(s(s(elem!1)), s(s(z))))),
% 4.44/4.66 inference(modus_ponens,[status(thm)],[19121, 19120])).
% 4.44/4.66 tff(19123,plain,
% 4.44/4.66 ($false),
% 4.44/4.66 inference(unit_resolution,[status(thm)],[19122, 91, 1837, 3151, 1073, 74, 3167, 3586])).
% 4.44/4.66 tff(19124,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(elem!1)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(elem!1)), s(s(z)))) | (~b(s(s(elem!1)), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19125,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19124, 19116, 19114, 1073, 74, 19084, 3151])).
% 4.44/4.67 tff(19126,plain,((~b(s(elem!1), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | r(s(s(s(s(z)))), s(elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | b(s(z), s(s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (s(z) = s(elem!1)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (s(s(s(s(s(s(z)))))) = s(elem!1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19127,plain,
% 4.44/4.67 (~b(s(elem!1), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19126, 1490, 18992, 3151, 4841, 75, 1073, 76, 348, 18991, 77, 158, 924, 18988, 565, 17968, 1307, 18985])).
% 4.44/4.67 tff(19128,plain,
% 4.44/4.67 (r(s(elem!1), z)),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1669, 19127])).
% 4.44/4.67 tff(19129,plain,
% 4.44/4.67 (~(s(elem!1) = s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[12400, 19128, 18978])).
% 4.44/4.67 tff(19130,plain,
% 4.44/4.67 (~(s(s(s(s(z)))) = s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1459, 19129])).
% 4.44/4.67 tff(19131,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1495, 19130, 1490])).
% 4.44/4.67 tff(19132,plain,
% 4.44/4.67 (~b(s(z), s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19016, 19131, 76, 348, 18991, 77])).
% 4.44/4.67 tff(19133,plain,
% 4.44/4.67 (r(s(z), s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1655, 19132, 18988])).
% 4.44/4.67 tff(19134,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19135,plain,
% 4.44/4.67 (((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19136,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1)))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[19135])).
% 4.44/4.67 tff(19137,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 4.44/4.67 inference(transitivity,[status(thm)],[19136, 19134])).
% 4.44/4.67 tff(19138,plain,
% 4.44/4.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 4.44/4.67 inference(quant_inst,[status(thm)],[])).
% 4.44/4.67 tff(19139,plain,
% 4.44/4.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1)))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[19138, 19137])).
% 4.44/4.67 tff(19140,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19139, 125, 1477, 765, 1564, 1672, 545])).
% 4.44/4.67 tff(19141,plain,((~r(s(z), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19142,plain,
% 4.44/4.67 ((~r(s(z), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19141, 14848])).
% 4.44/4.67 tff(19143,plain,
% 4.44/4.67 (~r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19142, 19133, 545, 19128])).
% 4.44/4.67 tff(19144,assumption,(~b(s(elem!1), s(s(s(s(z)))))), introduced(assumption)).
% 4.44/4.67 tff(19145,plain,
% 4.44/4.67 (~(s(elem!1) = s(s(s(s(s(s(z)))))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[2707, 18985])).
% 4.44/4.67 tff(19146,plain,
% 4.44/4.67 (r(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1526, 1455, 19144])).
% 4.44/4.67 tff(19147,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19148,plain,
% 4.44/4.67 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19149,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[19148])).
% 4.44/4.67 tff(19150,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(transitivity,[status(thm)],[19149, 19147])).
% 4.44/4.67 tff(19151,plain,
% 4.44/4.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))))),
% 4.44/4.67 inference(quant_inst,[status(thm)],[])).
% 4.44/4.67 tff(19152,plain,
% 4.44/4.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), z)) | (~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 4.44/4.67 tff(19153,plain,
% 4.44/4.67 ((~r(s(elem!1), s(s(s(s(s(s(z)))))))) | (~r(s(elem!1), s(s(s(s(z))))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19152, 125, 1477, 765, 347])).
% 4.44/4.67 tff(19154,plain,
% 4.44/4.67 (~r(s(elem!1), s(s(s(s(s(s(z)))))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19153, 19146])).
% 4.44/4.67 tff(19155,plain,
% 4.44/4.67 (b(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1495, 1460, 1490])).
% 4.44/4.67 tff(19156,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19157,plain,
% 4.44/4.67 (((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(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(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19158,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[19157])).
% 4.44/4.67 tff(19159,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(transitivity,[status(thm)],[19158, 19156])).
% 4.44/4.67 tff(19160,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 4.44/4.67 inference(quant_inst,[status(thm)],[])).
% 4.44/4.67 tff(19161,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(s(s(z))))))))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[19160, 19159])).
% 4.44/4.67 tff(19162,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19161, 91, 76, 1545, 1544, 1506])).
% 4.44/4.67 tff(19163,plain,((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(elem!1), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19164,plain,
% 4.44/4.67 (~b(s(elem!1), s(s(s(s(s(s(z)))))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19163, 19155, 76, 1544])).
% 4.44/4.67 tff(19165,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1542, 19164, 19154, 19145])).
% 4.44/4.67 tff(19166,plain,((s(elem!1) = s(s(s(s(z))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | r(s(s(s(s(z)))), s(elem!1)) | b(s(elem!1), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19167,plain,
% 4.44/4.67 (~b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19166, 1490, 76, 1477, 765, 347, 1455, 19144])).
% 4.44/4.67 tff(19168,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1562, 19167, 18985, 1557])).
% 4.44/4.67 tff(19169,plain,(r(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(s(s(z)))))), s(elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19170,plain,
% 4.44/4.67 (r(s(s(s(s(z)))), s(elem!1)) | r(s(s(s(s(s(s(z)))))), s(elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(elem!1), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (s(elem!1) = s(s(s(s(z))))) | b(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19169, 14848])).
% 4.44/4.67 tff(19171,plain,
% 4.44/4.67 (b(s(elem!1), s(s(s(s(z)))))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19170, 19143, 76, 347, 19128, 19129, 1490])).
% 4.44/4.67 tff(19172,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[12840, 125, 1477, 1565, 1672, 411])).
% 4.44/4.67 tff(19173,plain,((~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(z), s(elem!1))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19174,plain,
% 4.44/4.67 (~r(z, s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19173, 19133, 17756, 19128])).
% 4.44/4.67 tff(19175,plain,
% 4.44/4.67 (b(z, s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1583, 19174])).
% 4.44/4.67 tff(19176,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(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)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(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)))), z)))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19177,plain,
% 4.44/4.67 (((~b(s(s(s(s(z)))), s(elem!1))) | (~b(z, 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(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19178,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(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)))), z))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[19177])).
% 4.44/4.67 tff(19179,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(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)))), z)))),
% 4.44/4.67 inference(transitivity,[status(thm)],[19178, 19176])).
% 4.44/4.67 tff(19180,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))),
% 4.44/4.67 inference(quant_inst,[status(thm)],[])).
% 4.44/4.67 tff(19181,plain,
% 4.44/4.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(z)))), s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 4.44/4.67 tff(19182,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19181, 91, 1605, 1519, 74, 1506])).
% 4.44/4.67 tff(19183,plain,((~b(z, s(elem!1))) | (~b(s(elem!1), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19184,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19183, 19175, 19171, 18992, 19131])).
% 4.44/4.67 tff(19185,plain,(r(s(s(s(s(z)))), s(elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | b(s(z), s(s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19186,plain,
% 4.44/4.67 (r(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19185, 18977, 18924, 18922, 18214, 77, 3151, 18926, 18960, 18846, 18616, 18973, 18894, 18961, 18928])).
% 4.44/4.67 tff(19187,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19188,plain,
% 4.44/4.67 (((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19189,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[19188])).
% 4.44/4.67 tff(19190,plain,
% 4.44/4.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.67 inference(transitivity,[status(thm)],[19189, 19187])).
% 4.44/4.67 tff(19191,plain,
% 4.44/4.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))))),
% 4.44/4.67 inference(quant_inst,[status(thm)],[])).
% 4.44/4.67 tff(19192,plain,
% 4.44/4.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.44/4.67 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 4.44/4.67 tff(19193,plain,
% 4.44/4.67 ($false),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19192, 125, 1565, 75, 1478, 80, 73])).
% 4.44/4.67 tff(19194,plain,((~r(z, s(elem!1))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.67 tff(19195,plain,
% 4.44/4.67 (~r(z, s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[19194, 19186, 18960, 18942, 73])).
% 4.44/4.67 tff(19196,plain,
% 4.44/4.67 (b(z, s(elem!1))),
% 4.44/4.67 inference(unit_resolution,[status(thm)],[1583, 19195])).
% 4.44/4.67 tff(19197,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19198,plain,
% 4.44/4.67 (((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.67 inference(rewrite,[status(thm)],[])).
% 4.44/4.67 tff(19199,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.44/4.67 inference(monotonicity,[status(thm)],[19198])).
% 4.44/4.67 tff(19200,plain,
% 4.44/4.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[19199, 19197])).
% 4.44/4.68 tff(19201,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(19202,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[19201, 19200])).
% 4.44/4.68 tff(19203,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19202, 91, 1605, 76, 565, 74, 1544, 297])).
% 4.44/4.68 tff(19204,plain,((~b(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(z, s(elem!1))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19205,plain,
% 4.44/4.68 (~b(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19204, 19196, 18894, 18926, 18938, 18613])).
% 4.44/4.68 tff(19206,plain,
% 4.44/4.68 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[10183, 18928, 18617, 18922, 18924])).
% 4.44/4.68 tff(19207,plain,
% 4.44/4.68 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[689, 19206])).
% 4.44/4.68 tff(19208,plain,
% 4.44/4.68 (~r(s(s(s(s(s(z))))), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[5620, 18960, 17756, 18617])).
% 4.44/4.68 tff(19209,plain,
% 4.44/4.68 (b(s(s(s(s(s(z))))), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[427, 19208])).
% 4.44/4.68 tff(19210,plain,
% 4.44/4.68 (b(s(s(s(s(s(s(z)))))), s(s(elem!1))) <=> b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[13240])).
% 4.44/4.68 tff(19211,plain,
% 4.44/4.68 (b(s(s(s(s(s(s(z)))))), s(s(z))) <=> b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 4.44/4.68 inference(symmetry,[status(thm)],[19210])).
% 4.44/4.68 tff(19212,plain,
% 4.44/4.68 (b(s(s(s(s(s(s(z)))))), s(s(elem!1)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[3151, 19211])).
% 4.44/4.68 tff(19213,plain,
% 4.44/4.68 (b(s(s(s(s(s(z))))), s(s(elem!1))) <=> b(s(s(s(s(s(z))))), s(s(z)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[13240])).
% 4.44/4.68 tff(19214,plain,
% 4.44/4.68 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(s(s(s(s(s(z))))), s(s(elem!1)))),
% 4.44/4.68 inference(symmetry,[status(thm)],[19213])).
% 4.44/4.68 tff(19215,plain,
% 4.44/4.68 (b(s(s(s(s(s(z))))), s(s(elem!1)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[4841, 19214])).
% 4.44/4.68 tff(19216,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[13001, 19215, 19212, 669, 1073, 74, 79])).
% 4.44/4.68 tff(19217,plain,((~(s(s(elem!1)) = s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19218,plain,
% 4.44/4.68 (~(s(s(elem!1)) = s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19217, 18977, 18846, 18938, 19209, 19207, 3151])).
% 4.44/4.68 tff(19219,plain,
% 4.44/4.68 (~(s(elem!1) = s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[12805, 19218])).
% 4.44/4.68 tff(19220,plain,
% 4.44/4.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19221,plain,
% 4.44/4.68 (((~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19222,plain,
% 4.44/4.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1)))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19221])).
% 4.44/4.68 tff(19223,plain,
% 4.44/4.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[19222, 19220])).
% 4.44/4.68 tff(19224,plain,
% 4.44/4.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(z)))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(19225,plain,
% 4.44/4.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(elem!1)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[19224, 19223])).
% 4.44/4.68 tff(19226,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19225, 125, 1478, 544, 1672, 347, 545])).
% 4.44/4.68 tff(19227,plain,((~r(s(z), s(elem!1))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19228,plain,
% 4.44/4.68 (~r(s(z), s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19227, 19186, 18928, 18924, 18922])).
% 4.44/4.68 tff(19229,plain,
% 4.44/4.68 (~(s(z) = s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1512, 19219])).
% 4.44/4.68 tff(19230,plain,
% 4.44/4.68 (b(s(z), s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1655, 19229, 19228])).
% 4.44/4.68 tff(19231,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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), s(elem!1))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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), s(elem!1))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19232,plain,
% 4.44/4.68 (((~b(z, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z)))) <=> ((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(elem!1))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19233,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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), s(elem!1)))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19232])).
% 4.44/4.68 tff(19234,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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), s(elem!1))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[19233, 19231])).
% 4.44/4.68 tff(19235,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), z)) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(19236,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(elem!1)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[19235, 19234])).
% 4.44/4.68 tff(19237,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19236, 91, 1707, 1605, 429, 1642])).
% 4.44/4.68 tff(19238,plain,((~b(z, s(elem!1))) | (~b(s(elem!1), z)) | (~b(z, s(z))) | (~b(s(z), s(elem!1)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19239,plain,
% 4.44/4.68 (~b(s(elem!1), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19238, 19196, 18940, 19230])).
% 4.44/4.68 tff(19240,plain,
% 4.44/4.68 (r(s(elem!1), z)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1669, 19239])).
% 4.44/4.68 tff(19241,plain,
% 4.44/4.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19242,plain,
% 4.44/4.68 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1)))) <=> ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19243,plain,
% 4.44/4.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(elem!1), s(z)))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19242])).
% 4.44/4.68 tff(19244,plain,
% 4.44/4.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(elem!1), s(z))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[19243, 19241])).
% 4.44/4.68 tff(19245,plain,
% 4.44/4.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(19246,plain,
% 4.44/4.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)) | (~r(s(elem!1), s(z)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[19245, 19244])).
% 4.44/4.68 tff(19247,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19246, 125, 14848, 1564, 17756, 2384, 545])).
% 4.44/4.68 tff(19248,plain,((~r(s(elem!1), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19249,plain,
% 4.44/4.68 (~r(s(elem!1), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19248, 1564, 545])).
% 4.44/4.68 tff(19250,plain,
% 4.44/4.68 (b(s(elem!1), s(z))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1639, 19249, 1510])).
% 4.44/4.68 tff(19251,plain,
% 4.44/4.68 ((~r(s(elem!1), z)) | (~r(z, s(elem!1))) | (~r(s(s(s(s(s(s(z)))))), s(elem!1)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1573, 14848])).
% 4.44/4.68 tff(19252,plain,
% 4.44/4.68 (~r(z, s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19251, 1564, 1477])).
% 4.44/4.68 tff(19253,plain,
% 4.44/4.68 (b(z, s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1583, 19252])).
% 4.44/4.68 tff(19254,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19255,plain,
% 4.44/4.68 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z)))) <=> ((~b(z, s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.44/4.68 inference(rewrite,[status(thm)],[])).
% 4.44/4.68 tff(19256,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19255])).
% 4.44/4.68 tff(19257,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z))))),
% 4.44/4.68 inference(transitivity,[status(thm)],[19256, 19254])).
% 4.44/4.68 tff(19258,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(elem!1), s(z))) | (~b(s(z), s(elem!1))) | (~b(z, s(elem!1))) | (~b(z, s(z))))),
% 4.44/4.68 inference(quant_inst,[status(thm)],[])).
% 4.44/4.68 tff(19259,plain,
% 4.44/4.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(elem!1))) | (~b(s(elem!1), s(z)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[19258, 19257])).
% 4.44/4.68 tff(19260,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19259, 91, 19253, 565, 17968, 1642, 19250])).
% 4.44/4.68 tff(19261,plain,((~r(s(s(s(s(s(s(z)))))), s(elem!1))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(elem!1))) | (s(elem!1) = s(z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(elem!1), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19262,plain,
% 4.44/4.68 (~r(s(s(s(s(s(s(z)))))), s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19261, 19240, 19230, 19219, 18922, 18894])).
% 4.44/4.68 tff(19263,plain,
% 4.44/4.68 (s(s(s(s(s(s(z)))))) = s(elem!1)),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1562, 19262, 19205])).
% 4.44/4.68 tff(19264,plain,
% 4.44/4.68 (b(s(s(s(s(s(s(z)))))), s(s(z))) <=> b(s(elem!1), s(s(z)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19263])).
% 4.44/4.68 tff(19265,plain,
% 4.44/4.68 (b(s(elem!1), s(s(z)))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[3151, 19264])).
% 4.44/4.68 tff(19266,plain,
% 4.44/4.68 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(elem!1))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19263])).
% 4.44/4.68 tff(19267,plain,
% 4.44/4.68 (s(s(s(s(s(z))))) = elem!1),
% 4.44/4.68 inference(transitivity,[status(thm)],[233, 19266, 1443])).
% 4.44/4.68 tff(19268,plain,
% 4.44/4.68 (b(s(elem!1), s(s(s(s(s(z)))))) <=> b(s(elem!1), elem!1)),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19267])).
% 4.44/4.68 tff(19269,plain,
% 4.44/4.68 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) <=> b(s(elem!1), s(s(s(s(s(z))))))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19263])).
% 4.44/4.68 tff(19270,plain,
% 4.44/4.68 (b(s(elem!1), s(s(s(s(s(z))))))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[18214, 19269])).
% 4.44/4.68 tff(19271,plain,
% 4.44/4.68 (b(s(elem!1), elem!1)),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[19270, 19268])).
% 4.44/4.68 tff(19272,plain,
% 4.44/4.68 (b(s(s(z)), s(s(s(s(s(z)))))) <=> b(s(s(z)), elem!1)),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19267])).
% 4.44/4.68 tff(19273,plain,
% 4.44/4.68 (r(s(s(s(s(z)))), s(elem!1)) <=> r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[2360])).
% 4.44/4.68 tff(19274,plain,
% 4.44/4.68 (r(s(s(s(s(z)))), s(s(z))) <=> r(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.68 inference(symmetry,[status(thm)],[19273])).
% 4.44/4.68 tff(19275,plain,
% 4.44/4.68 ((~r(s(s(s(s(z)))), s(s(z)))) <=> (~r(s(s(s(s(z)))), s(elem!1)))),
% 4.44/4.68 inference(monotonicity,[status(thm)],[19274])).
% 4.44/4.68 tff(19276,plain,
% 4.44/4.68 (~r(s(s(s(s(z)))), s(elem!1))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[2423, 19275])).
% 4.44/4.68 tff(19277,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[1478, 19276])).
% 4.44/4.68 tff(19278,plain,((~(s(elem!1) = s(s(z)))) | (~r(s(s(s(s(z)))), s(elem!1))) | r(s(s(s(s(z)))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19279,plain,
% 4.44/4.68 (~(s(elem!1) = s(s(z)))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19278, 19186, 18970])).
% 4.44/4.68 tff(19280,plain,
% 4.44/4.68 (s(elem!1) = s(s(z))),
% 4.44/4.68 inference(modus_ponens,[status(thm)],[2345, 2356])).
% 4.44/4.68 tff(19281,plain,
% 4.44/4.68 ($false),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[2375, 19280])).
% 4.44/4.68 tff(19282,plain,((~(s(s(z)) = s(elem!1))) | (s(elem!1) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.68 tff(19283,plain,
% 4.44/4.68 (~(s(s(z)) = s(elem!1))),
% 4.44/4.68 inference(unit_resolution,[status(thm)],[19282, 19279])).
% 4.44/4.68 tff(19284,plain,
% 4.44/4.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19285,plain,
% 4.44/4.69 (((~b(s(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(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19286,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[19285])).
% 4.44/4.69 tff(19287,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[19286, 19284])).
% 4.44/4.69 tff(19288,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(19289,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[19288, 19287])).
% 4.44/4.69 tff(19290,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19289, 91, 924, 3151, 1073, 5148])).
% 4.44/4.69 tff(19291,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19292,plain,
% 4.44/4.69 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19291, 18973, 3151, 18846])).
% 4.44/4.69 tff(19293,plain,
% 4.44/4.69 (s(elem!1) = s(s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1504, 19263])).
% 4.44/4.69 tff(19294,plain,
% 4.44/4.69 (b(s(s(z)), s(elem!1)) <=> b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[2684])).
% 4.44/4.69 tff(19295,plain,
% 4.44/4.69 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[3452, 19294])).
% 4.44/4.69 tff(19296,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[5703, 19295])).
% 4.44/4.69 tff(19297,plain,((~b(s(s(z)), s(elem!1))) | b(s(s(z)), s(s(s(s(s(s(z))))))) | (~(s(elem!1) = s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19298,plain,
% 4.44/4.69 (~b(s(s(z)), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19297, 19293, 19292])).
% 4.44/4.69 tff(19299,plain,
% 4.44/4.69 (r(s(s(z)), s(elem!1))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3419, 19298, 19283])).
% 4.44/4.69 tff(19300,plain,
% 4.44/4.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(elem!1))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(elem!1))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19301,plain,
% 4.44/4.69 (((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(elem!1))) | (~r(s(s(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(s(s(z)))))))) <=> ((~r(s(s(z)), s(elem!1))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19302,plain,
% 4.44/4.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(elem!1))) | (~r(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(elem!1))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[19301])).
% 4.44/4.69 tff(19303,plain,
% 4.44/4.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(elem!1))) | (~r(s(s(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(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(elem!1))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[19302, 19300])).
% 4.44/4.69 tff(19304,plain,
% 4.44/4.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(elem!1))) | (~r(s(s(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(s(s(z))))))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(19305,plain,
% 4.44/4.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(elem!1))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(elem!1))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 4.44/4.69 tff(19306,plain,
% 4.44/4.69 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19305, 125, 19299, 19186, 73, 18975])).
% 4.44/4.69 tff(19307,plain,
% 4.44/4.69 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[5666, 19306])).
% 4.44/4.69 tff(19308,plain,
% 4.44/4.69 (b(s(s(z)), elem!1)),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[19307, 19272])).
% 4.44/4.69 tff(19309,plain,
% 4.44/4.69 (b(s(s(s(s(s(z))))), s(s(z))) <=> b(elem!1, s(s(z)))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[19267])).
% 4.44/4.69 tff(19310,plain,
% 4.44/4.69 (b(elem!1, s(s(z)))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[18977, 19309])).
% 4.44/4.69 tff(19311,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2469, 19310, 19308, 19271, 19265])).
% 4.44/4.69 tff(19312,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19313,plain,
% 4.44/4.69 (~r(z, s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19312, 3151, 73, 77])).
% 4.44/4.69 tff(19314,plain,
% 4.44/4.69 (b(z, s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3400, 19313])).
% 4.44/4.69 tff(19315,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[15840, 836, 76, 347, 3151])).
% 4.44/4.69 tff(19316,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[938, 19315])).
% 4.44/4.69 tff(19317,plain,
% 4.44/4.69 (~r(s(z), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[9745, 19316, 347, 545, 18663])).
% 4.44/4.69 tff(19318,plain,
% 4.44/4.69 (b(s(z), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1004, 19317])).
% 4.44/4.69 tff(19319,plain,
% 4.44/4.69 (~b(s(s(z)), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[7756, 19318, 17968, 565, 3382])).
% 4.44/4.69 tff(19320,plain,
% 4.44/4.69 (r(s(s(z)), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[857, 19319])).
% 4.44/4.69 tff(19321,plain,
% 4.44/4.69 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[5298, 19318, 297, 3151])).
% 4.44/4.69 tff(19322,plain,
% 4.44/4.69 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[5705, 19321])).
% 4.44/4.69 tff(19323,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[9601, 125, 17756, 836, 19322, 545, 19320])).
% 4.44/4.69 tff(19324,plain,((~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19325,plain,
% 4.44/4.69 (~r(s(s(z)), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19324, 3151, 18613, 18922, 18894, 19314, 18924, 18926])).
% 4.44/4.69 tff(19326,plain,
% 4.44/4.69 (b(s(s(z)), z)),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[898, 19325])).
% 4.44/4.69 tff(19327,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[10246, 19326, 18938, 19314])).
% 4.44/4.69 tff(19328,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[938, 19327])).
% 4.44/4.69 tff(19329,plain,
% 4.44/4.69 (~r(s(z), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[9745, 19328, 18924, 18922, 18928])).
% 4.44/4.69 tff(19330,plain,
% 4.44/4.69 (b(s(z), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[1004, 19329])).
% 4.44/4.69 tff(19331,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19332,plain,
% 4.44/4.69 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(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(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19333,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[19332])).
% 4.44/4.69 tff(19334,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, 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(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[19333, 19331])).
% 4.44/4.69 tff(19335,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(19336,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[19335, 19334])).
% 4.44/4.69 tff(19337,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19336, 91, 19314, 19326, 18940, 18846, 19330, 18613])).
% 4.44/4.69 tff(19338,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19339,plain,
% 4.44/4.69 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19338, 77, 73])).
% 4.44/4.69 tff(19340,plain,
% 4.44/4.69 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3164, 19339])).
% 4.44/4.69 tff(19341,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[18830, 125, 14848, 17756, 3103, 545, 2446])).
% 4.44/4.69 tff(19342,plain,((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19343,plain,
% 4.44/4.69 (~r(s(s(z)), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19342, 19340, 18922])).
% 4.44/4.69 tff(19344,plain,
% 4.44/4.69 (b(s(s(z)), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[857, 19343])).
% 4.44/4.69 tff(19345,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19346,plain,
% 4.44/4.69 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19347,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[19346])).
% 4.44/4.69 tff(19348,plain,
% 4.44/4.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z))))),
% 4.44/4.69 inference(transitivity,[status(thm)],[19347, 19345])).
% 4.44/4.69 tff(19349,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(19350,plain,
% 4.44/4.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 4.44/4.69 tff(19351,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19350, 91, 3382, 77, 79, 669, 74, 3451])).
% 4.44/4.69 tff(19352,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19353,plain,
% 4.44/4.69 (~b(z, s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19352, 19344, 77, 19209, 19207, 18938])).
% 4.44/4.69 tff(19354,plain,
% 4.44/4.69 (r(z, s(s(z)))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[3400, 19353])).
% 4.44/4.69 tff(19355,plain,
% 4.44/4.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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), z)))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19356,plain,
% 4.44/4.69 (((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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), z)))),
% 4.44/4.69 inference(rewrite,[status(thm)],[])).
% 4.44/4.69 tff(19357,plain,
% 4.44/4.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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), z))))),
% 4.44/4.69 inference(monotonicity,[status(thm)],[19356])).
% 4.44/4.69 tff(19358,plain,
% 4.44/4.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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), z)))),
% 4.44/4.69 inference(transitivity,[status(thm)],[19357, 19355])).
% 4.44/4.69 tff(19359,plain,
% 4.44/4.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 4.44/4.69 inference(quant_inst,[status(thm)],[])).
% 4.44/4.69 tff(19360,plain,
% 4.44/4.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))),
% 4.44/4.69 inference(modus_ponens,[status(thm)],[19359, 19358])).
% 4.44/4.69 tff(19361,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19360, 125, 19354, 14848, 17756, 19340, 18922])).
% 4.44/4.69 tff(19362,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19363,plain,
% 4.44/4.69 (~b(s(s(s(s(s(z))))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19362, 73])).
% 4.44/4.69 tff(19364,plain,
% 4.44/4.69 (r(s(s(s(s(s(z))))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[394, 19363])).
% 4.44/4.69 tff(19365,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[15995, 125, 19364, 18920, 18866, 73, 18908])).
% 4.44/4.69 tff(19366,plain,(~r(s(s(s(s(s(z))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19367,plain,
% 4.44/4.69 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[369, 19366])).
% 4.44/4.69 tff(19368,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2666, 125, 204, 135, 17756, 1020, 269])).
% 4.44/4.69 tff(19369,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(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,[]))).
% 4.44/4.69 tff(19370,plain,
% 4.44/4.69 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[19369, 1020, 135, 204])).
% 4.44/4.69 tff(19371,plain,
% 4.44/4.69 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[295, 19370])).
% 4.44/4.69 tff(19372,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[2955, 318, 19371, 526])).
% 4.44/4.69 tff(19373,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[201, 19372])).
% 4.44/4.69 tff(19374,plain,
% 4.44/4.69 (~r(z, s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[9068, 1020, 17756, 135])).
% 4.44/4.69 tff(19375,plain,
% 4.44/4.69 (b(z, s(s(s(s(z)))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[174, 19374])).
% 4.44/4.69 tff(19376,plain,
% 4.44/4.69 (~r(z, s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[16333, 203, 204, 1020])).
% 4.44/4.69 tff(19377,plain,
% 4.44/4.69 (b(z, s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[113, 19376])).
% 4.44/4.69 tff(19378,plain,
% 4.44/4.69 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[16659, 203, 19367, 204, 1020])).
% 4.44/4.69 tff(19379,plain,
% 4.44/4.69 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[689, 19378])).
% 4.44/4.69 tff(19380,plain,
% 4.44/4.69 (~r(s(s(s(s(s(z))))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[5930, 19379, 17756, 1020, 544])).
% 4.44/4.69 tff(19381,plain,
% 4.44/4.69 (b(s(s(s(s(s(z))))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[394, 19380])).
% 4.44/4.69 tff(19382,plain,
% 4.44/4.69 ($false),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[5997, 91, 19381, 19377, 178, 318, 526, 19367])).
% 4.44/4.69 tff(19383,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(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(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.69 tff(19384,plain,
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% 4.44/4.69 tff(19385,plain,
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% 4.44/4.69 inference(unit_resolution,[status(thm)],[1313, 19384])).
% 4.44/4.69 tff(19386,plain,
% 4.44/4.69 (~b(s(s(s(s(s(z))))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[18874, 19385, 526, 19371])).
% 4.44/4.69 tff(19387,plain,
% 4.44/4.69 (r(s(s(s(s(s(z))))), s(z))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[394, 19386])).
% 4.44/4.69 tff(19388,plain,
% 4.44/4.69 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[5930, 19387, 17756, 1020, 19373])).
% 4.44/4.69 tff(19389,plain,
% 4.44/4.69 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.44/4.69 inference(unit_resolution,[status(thm)],[689, 19388])).
% 4.44/4.69 tff(19390,plain,
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% 4.44/4.69 tff(19391,plain,
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% 4.44/4.69 inference(unit_resolution,[status(thm)],[369, 19390])).
% 4.44/4.69 tff(19392,plain,
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% 4.44/4.70 inference(unit_resolution,[status(thm)],[1124, 136, 135, 1020, 411])).
% 4.44/4.70 tff(19393,plain,
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% 4.44/4.70 inference(unit_resolution,[status(thm)],[113, 19392])).
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% 4.44/4.70 inference(unit_resolution,[status(thm)],[677, 19393, 19391, 178, 669])).
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% 4.44/4.70 tff(19396,plain,
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% 4.44/4.70 inference(unit_resolution,[status(thm)],[19395, 19389, 17756, 135, 1020, 19375])).
% 4.44/4.70 tff(19397,plain,
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% 4.44/4.70 inference(unit_resolution,[status(thm)],[163, 19396])).
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% 4.44/4.70 inference(rewrite,[status(thm)],[])).
% 4.44/4.70 tff(19399,plain,
% 4.44/4.70 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.44/4.70 inference(rewrite,[status(thm)],[])).
% 4.44/4.70 tff(19400,plain,
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% 4.44/4.70 inference(monotonicity,[status(thm)],[19399])).
% 4.44/4.70 tff(19401,plain,
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% 4.44/4.70 inference(transitivity,[status(thm)],[19400, 19398])).
% 4.44/4.70 tff(19402,plain,
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% 4.54/4.70 inference(quant_inst,[status(thm)],[])).
% 4.54/4.70 tff(19403,plain,
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% 4.54/4.70 inference(modus_ponens,[status(thm)],[19402, 19401])).
% 4.54/4.70 tff(19404,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[19403, 91, 19397, 19385, 318, 526, 19367, 19371])).
% 4.54/4.70 tff(19405,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19406,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[19405, 1020, 135, 526, 204])).
% 4.54/4.70 tff(19407,plain,
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% 4.54/4.70 tff(19408,plain,
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% 4.54/4.70 tff(19410,plain,
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% 4.54/4.70 tff(19411,plain,
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% 4.54/4.70 tff(19412,plain,
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% 4.54/4.70 tff(19413,plain,
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% 4.54/4.70 tff(19414,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[5467, 91, 19375, 19409, 19413, 19367, 19371])).
% 4.54/4.70 tff(19415,plain,
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% 4.54/4.70 tff(19416,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[447, 19415, 17756, 19411])).
% 4.54/4.70 tff(19417,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[394, 19416])).
% 4.54/4.70 tff(19418,plain,
% 4.54/4.70 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 4.54/4.70 tff(19419,plain,
% 4.54/4.70 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1313, 19418])).
% 4.54/4.70 tff(19420,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[6772, 19417, 17756, 1020, 19375, 19413, 135])).
% 4.54/4.70 tff(19421,plain,
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% 4.54/4.70 tff(19422,plain,
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% 4.54/4.70 tff(19423,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19424,plain,
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% 4.54/4.70 tff(19425,plain,
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% 4.54/4.70 tff(19426,plain,
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% 4.54/4.70 tff(19427,plain,
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% 4.54/4.70 tff(19428,plain,
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% 4.54/4.70 tff(19429,plain,
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% 4.54/4.70 tff(19433,plain,
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% 4.54/4.70 tff(19434,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[163, 19433])).
% 4.54/4.70 tff(19435,plain,
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% 4.54/4.70 tff(19436,plain,
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% 4.54/4.70 tff(19438,plain,
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% 4.54/4.70 tff(19439,plain,
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% 4.54/4.70 tff(19440,plain,
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% 4.54/4.70 tff(19441,plain,
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% 4.54/4.70 tff(19443,plain,
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% 4.54/4.70 tff(19444,plain,
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% 4.54/4.70 tff(19445,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[163, 19444])).
% 4.54/4.70 tff(19446,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[18461, 19445, 19443, 526])).
% 4.54/4.70 tff(19447,plain,
% 4.54/4.70 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[17120, 19443, 19367, 135, 204, 269, 19429])).
% 4.54/4.70 tff(19448,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[394, 19447, 19446])).
% 4.54/4.70 tff(19449,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19450,plain,
% 4.54/4.70 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19449, 70, 135, 526])).
% 4.54/4.70 tff(19451,plain,
% 4.54/4.70 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[295, 19450])).
% 4.54/4.70 tff(19452,plain,
% 4.54/4.70 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[6914, 347, 70, 135])).
% 4.54/4.70 tff(19453,plain,
% 4.54/4.70 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[295, 19452])).
% 4.54/4.70 tff(19454,plain,
% 4.54/4.70 (r(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[4405, 215, 347, 1, 297])).
% 4.54/4.70 tff(19455,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[8622, 19454, 215, 347, 70])).
% 4.54/4.70 tff(19456,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19457,plain,
% 4.54/4.70 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19456, 347, 1, 19453])).
% 4.54/4.70 tff(19458,plain,
% 4.54/4.70 (b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1093, 19457])).
% 4.54/4.70 tff(19459,plain,
% 4.54/4.70 (~b(z, s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[17818, 91, 19458, 526, 19453])).
% 4.54/4.70 tff(19460,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[267, 19459])).
% 4.54/4.70 tff(19461,plain,
% 4.54/4.70 (~r(s(s(s(s(z)))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19423, 70, 135, 526])).
% 4.54/4.70 tff(19462,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[314, 19461])).
% 4.54/4.70 tff(19463,plain,
% 4.54/4.70 (~b(z, s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[17818, 91, 1073, 526, 297])).
% 4.54/4.70 tff(19464,plain,
% 4.54/4.70 (r(z, s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[267, 19463])).
% 4.54/4.70 tff(19465,plain,
% 4.54/4.70 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[447, 71, 17756, 19464])).
% 4.54/4.70 tff(19466,plain,
% 4.54/4.70 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[394, 19465])).
% 4.54/4.70 tff(19467,plain,
% 4.54/4.70 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[18874, 19466, 526, 297])).
% 4.54/4.70 tff(19468,plain,
% 4.54/4.70 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1313, 19467])).
% 4.54/4.70 tff(19469,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[18079, 19468, 74, 297, 1073, 19466])).
% 4.54/4.70 tff(19470,plain,
% 4.54/4.70 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[15545, 19468, 71, 204])).
% 4.54/4.70 tff(19471,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[689, 19470, 19469])).
% 4.54/4.70 tff(19472,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(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)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19473,plain,
% 4.54/4.70 (~r(s(s(s(s(s(z))))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19472, 19453, 19462, 70, 19458, 526])).
% 4.54/4.70 tff(19474,plain,
% 4.54/4.70 (b(s(s(s(s(s(z))))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[427, 19473])).
% 4.54/4.70 tff(19475,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[5420, 19474, 19367, 526, 19462, 19458])).
% 4.54/4.70 tff(19476,plain,
% 4.54/4.70 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[201, 19475])).
% 4.54/4.70 tff(19477,plain,
% 4.54/4.70 (~b(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[597, 19474, 19367, 19462])).
% 4.54/4.70 tff(19478,plain,
% 4.54/4.70 (r(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[174, 19477])).
% 4.54/4.70 tff(19479,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[9665, 19478, 19476, 135, 19460])).
% 4.54/4.70 tff(19480,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19481,plain,
% 4.54/4.70 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19480, 1, 526, 135])).
% 4.54/4.70 tff(19482,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[336, 19481])).
% 4.54/4.70 tff(19483,plain,
% 4.54/4.70 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19449, 204, 135, 526])).
% 4.54/4.70 tff(19484,plain,
% 4.54/4.70 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[295, 19483])).
% 4.54/4.70 tff(19485,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[2955, 19484, 318, 526])).
% 4.54/4.70 tff(19486,plain,
% 4.54/4.70 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[201, 19485])).
% 4.54/4.70 tff(19487,plain,
% 4.54/4.70 (~r(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[16695, 115, 203, 204])).
% 4.54/4.70 tff(19488,plain,
% 4.54/4.70 (b(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[174, 19487])).
% 4.54/4.70 tff(19489,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[597, 19488, 16840, 19367, 74])).
% 4.54/4.70 tff(19490,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19491,plain,
% 4.54/4.70 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19490, 203, 74, 204])).
% 4.54/4.70 tff(19492,plain,
% 4.54/4.70 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[689, 19491])).
% 4.54/4.70 tff(19493,plain,
% 4.54/4.70 (~b(z, s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[16831, 19492, 19367, 204, 203])).
% 4.54/4.70 tff(19494,plain,
% 4.54/4.70 (r(z, s(s(s(s(s(z))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[113, 19493])).
% 4.54/4.70 tff(19495,plain,
% 4.54/4.70 (~r(s(s(s(s(s(z))))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[15422, 19494, 203])).
% 4.54/4.70 tff(19496,plain,
% 4.54/4.70 (b(s(s(s(s(s(z))))), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[427, 19495])).
% 4.54/4.70 tff(19497,plain,
% 4.54/4.70 (~b(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[597, 19496, 19367, 74])).
% 4.54/4.70 tff(19498,plain,
% 4.54/4.70 (r(z, s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[174, 19497])).
% 4.54/4.70 tff(19499,plain,
% 4.54/4.70 (~r(z, s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[16725, 215, 19367, 204, 19494, 203, 19498])).
% 4.54/4.70 tff(19500,plain,
% 4.54/4.70 (b(z, s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[3400, 19499])).
% 4.54/4.70 tff(19501,plain,
% 4.54/4.70 (~r(s(z), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[8796, 836, 17756, 135, 80])).
% 4.54/4.70 tff(19502,plain,
% 4.54/4.70 (b(s(z), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1004, 19501])).
% 4.54/4.70 tff(19503,plain,
% 4.54/4.70 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[5298, 19502, 297, 3151])).
% 4.54/4.70 tff(19504,plain,
% 4.54/4.70 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[5705, 19503])).
% 4.54/4.70 tff(19505,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[877, 125, 14848, 215, 836, 19504])).
% 4.54/4.70 tff(19506,plain,((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19507,plain,
% 4.54/4.70 (~r(s(s(z)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19506, 3151, 297, 215, 135, 80])).
% 4.54/4.70 tff(19508,plain,
% 4.54/4.70 (b(s(s(z)), z)),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[898, 19507])).
% 4.54/4.70 tff(19509,plain,
% 4.54/4.70 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[9559, 19508, 74, 3382])).
% 4.54/4.70 tff(19510,plain,
% 4.54/4.70 (r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[4476, 19509])).
% 4.54/4.70 tff(19511,plain,
% 4.54/4.70 (~r(s(s(z)), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[5819, 125, 544, 135, 19510])).
% 4.54/4.70 tff(19512,plain,
% 4.54/4.70 (b(s(s(z)), s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[857, 19511])).
% 4.54/4.70 tff(19513,plain,
% 4.54/4.70 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[16784, 923, 318, 3151])).
% 4.54/4.70 tff(19514,plain,
% 4.54/4.70 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[5705, 19513])).
% 4.54/4.70 tff(19515,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[877, 125, 14848, 215, 10248, 19514])).
% 4.54/4.70 tff(19516,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(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)))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19517,plain,
% 4.54/4.70 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19516, 3151, 318, 215, 74, 3382])).
% 4.54/4.70 tff(19518,plain,
% 4.54/4.70 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[938, 19517])).
% 4.54/4.70 tff(19519,plain,
% 4.54/4.70 (~r(s(z), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[4555, 19510, 135, 19518])).
% 4.54/4.70 tff(19520,plain,
% 4.54/4.70 (b(s(z), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[1004, 19519])).
% 4.54/4.70 tff(19521,plain,
% 4.54/4.70 (~r(z, s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[9665, 80, 135, 544])).
% 4.54/4.70 tff(19522,plain,
% 4.54/4.70 (b(z, s(z))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[267, 19521])).
% 4.54/4.70 tff(19523,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(19524,plain,
% 4.54/4.70 (((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(19525,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 4.54/4.70 inference(monotonicity,[status(thm)],[19524])).
% 4.54/4.70 tff(19526,plain,
% 4.54/4.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.54/4.70 inference(transitivity,[status(thm)],[19525, 19523])).
% 4.54/4.70 tff(19527,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 4.54/4.70 inference(quant_inst,[status(thm)],[])).
% 4.54/4.70 tff(19528,plain,
% 4.54/4.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 4.54/4.70 inference(modus_ponens,[status(thm)],[19527, 19526])).
% 4.54/4.70 tff(19529,plain,
% 4.54/4.70 ($false),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19528, 91, 19508, 19522, 19520, 19512])).
% 4.54/4.70 tff(19530,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.70 tff(19531,plain,
% 4.54/4.70 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19530, 19500, 135, 74, 544, 297, 215, 19498, 318])).
% 4.54/4.70 tff(19532,plain,
% 4.54/4.70 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[3164, 19531])).
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% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(19534,plain,
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% 4.54/4.70 inference(rewrite,[status(thm)],[])).
% 4.54/4.70 tff(19535,plain,
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% 4.54/4.70 inference(monotonicity,[status(thm)],[19534])).
% 4.54/4.70 tff(19536,plain,
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% 4.54/4.70 inference(transitivity,[status(thm)],[19535, 19533])).
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% 4.54/4.70 inference(quant_inst,[status(thm)],[])).
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% 4.54/4.70 inference(modus_ponens,[status(thm)],[19537, 19536])).
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% 4.54/4.70 tff(19541,plain,
% 4.54/4.70 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.70 inference(unit_resolution,[status(thm)],[19540, 19532, 19498, 204])).
% 4.54/4.70 tff(19542,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[938, 19541])).
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% 4.54/4.70 tff(19547,plain,
% 4.54/4.70 (~r(z, s(s(s(s(s(s(z)))))))),
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% 4.54/4.70 tff(19548,plain,
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% 4.54/4.70 tff(19550,plain,
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% 4.54/4.70 inference(unit_resolution,[status(thm)],[689, 19549])).
% 4.54/4.70 tff(19551,plain,
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% 4.54/4.70 tff(19552,plain,
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% 4.54/4.70 tff(19557,plain,
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% 4.54/4.70 tff(19558,plain,
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% 4.54/4.70 tff(19561,plain,
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% 4.54/4.70 tff(19563,plain,
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% 4.54/4.70 tff(19565,plain,
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% 4.54/4.71 tff(19569,plain,
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% 4.54/4.71 tff(19573,plain,
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% 4.54/4.71 tff(19582,plain,
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% 4.54/4.71 tff(19588,plain,
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% 4.54/4.71 inference(unit_resolution,[status(thm)],[1313, 19602])).
% 4.54/4.71 tff(19604,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(19605,plain,
% 4.54/4.71 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(19606,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[19605])).
% 4.54/4.71 tff(19607,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 4.54/4.71 inference(transitivity,[status(thm)],[19606, 19604])).
% 4.54/4.71 tff(19608,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.54/4.71 inference(quant_inst,[status(thm)],[])).
% 4.54/4.71 tff(19609,plain,
% 4.54/4.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 4.54/4.71 tff(19610,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19609, 91, 76, 5148, 526, 3451, 19585])).
% 4.54/4.71 tff(19611,plain,((~b(s(s(z)), s(s(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(z))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19612,plain,
% 4.54/4.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19611, 19601, 526, 19573])).
% 4.54/4.71 tff(19613,plain,
% 4.54/4.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5705, 19612])).
% 4.54/4.71 tff(19614,plain,
% 4.54/4.71 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5715, 19613, 19597, 19603])).
% 4.54/4.71 tff(19615,plain,
% 4.54/4.71 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5666, 19614])).
% 4.54/4.71 tff(19616,plain,
% 4.54/4.71 (~r(s(s(s(s(s(z))))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[15332, 19597, 19593])).
% 4.54/4.71 tff(19617,plain,
% 4.54/4.71 (b(s(s(s(s(s(z))))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[427, 19616])).
% 4.54/4.71 tff(19618,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6105, 19617, 19367, 19375])).
% 4.54/4.71 tff(19619,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 19618])).
% 4.54/4.71 tff(19620,plain,
% 4.54/4.71 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5930, 19619, 17756, 1020, 19589])).
% 4.54/4.71 tff(19621,plain,
% 4.54/4.71 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[394, 19620])).
% 4.54/4.71 tff(19622,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5829, 91, 19621, 19573, 19615, 19601, 19367, 19583])).
% 4.54/4.71 tff(19623,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19624,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19623, 526, 135])).
% 4.54/4.71 tff(19625,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[314, 19624])).
% 4.54/4.71 tff(19626,plain,
% 4.54/4.71 (~r(s(s(s(s(s(z))))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[16593, 178, 19367, 76, 74])).
% 4.54/4.71 tff(19627,plain,
% 4.54/4.71 (~b(s(s(s(s(s(z))))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[597, 178, 19367, 74])).
% 4.54/4.71 tff(19628,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[427, 19627, 19626])).
% 4.54/4.71 tff(19629,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19630,plain,
% 4.54/4.71 (~b(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19629, 19625, 19573])).
% 4.54/4.71 tff(19631,plain,
% 4.54/4.71 (r(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[174, 19630])).
% 4.54/4.71 tff(19632,plain,
% 4.54/4.71 (~r(z, s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[9665, 19631, 135, 19589])).
% 4.54/4.71 tff(19633,plain,
% 4.54/4.71 (b(z, s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[267, 19632])).
% 4.54/4.71 tff(19634,plain,
% 4.54/4.71 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[17838, 19633, 526, 19573, 19583])).
% 4.54/4.71 tff(19635,plain,
% 4.54/4.71 (r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1093, 19634])).
% 4.54/4.71 tff(19636,plain,
% 4.54/4.71 (~b(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19629, 74, 76])).
% 4.54/4.71 tff(19637,plain,
% 4.54/4.71 (r(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[174, 19636])).
% 4.54/4.71 tff(19638,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[10450, 18641, 19367, 76, 74, 215, 19637])).
% 4.54/4.71 tff(19639,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 19638])).
% 4.54/4.71 tff(19640,plain,
% 4.54/4.71 (~r(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[8714, 125, 215, 19637, 216, 19639])).
% 4.54/4.71 tff(19641,plain,
% 4.54/4.71 (b(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[113, 19640])).
% 4.54/4.71 tff(19642,plain,
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% 4.54/4.71 inference(unit_resolution,[status(thm)],[10048, 91, 18641, 19641, 74, 19367])).
% 4.54/4.71 tff(19643,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19644,plain,
% 4.54/4.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19643, 19625, 19635, 19573])).
% 4.54/4.71 tff(19645,plain,
% 4.54/4.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[246, 19644])).
% 4.54/4.71 tff(19646,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6126, 19645, 19367, 19573])).
% 4.54/4.71 tff(19647,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 19646])).
% 4.54/4.71 tff(19648,plain,
% 4.54/4.71 (~b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4323, 19645, 19583, 526])).
% 4.54/4.71 tff(19649,plain,
% 4.54/4.71 (r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[163, 19648])).
% 4.54/4.71 tff(19650,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[8696, 19649, 19647, 17756, 135, 19631])).
% 4.54/4.71 tff(19651,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19652,plain,
% 4.54/4.71 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19651, 135])).
% 4.54/4.71 tff(19653,plain,
% 4.54/4.71 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[542, 19652])).
% 4.54/4.71 tff(19654,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[17797, 125, 14848, 135, 17756, 347, 269])).
% 4.54/4.71 tff(19655,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19656,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19655, 269, 135])).
% 4.54/4.71 tff(19657,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[336, 19656])).
% 4.54/4.71 tff(19658,plain,
% 4.54/4.71 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[14869, 19657, 17759, 19427])).
% 4.54/4.71 tff(19659,plain,
% 4.54/4.71 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[69, 19658])).
% 4.54/4.71 tff(19660,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[553, 19659, 135, 19653])).
% 4.54/4.71 tff(19661,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[201, 19660])).
% 4.54/4.71 tff(19662,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19369, 19659, 135, 269])).
% 4.54/4.71 tff(19663,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[314, 19662])).
% 4.54/4.71 tff(19664,plain,
% 4.54/4.71 (~r(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[489, 19663, 19367, 19661, 19427])).
% 4.54/4.71 tff(19665,plain,
% 4.54/4.71 (b(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[113, 19664])).
% 4.54/4.71 tff(19666,plain,
% 4.54/4.71 (~b(s(s(s(s(s(z))))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[597, 19663, 19367, 19427])).
% 4.54/4.71 tff(19667,plain,
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% 4.54/4.71 inference(unit_resolution,[status(thm)],[427, 19666])).
% 4.54/4.71 tff(19668,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[677, 19665, 19367, 19427])).
% 4.54/4.71 tff(19669,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 19668])).
% 4.54/4.71 tff(19670,plain,
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% 4.54/4.71 inference(unit_resolution,[status(thm)],[5058, 19669, 17756, 135, 19667])).
% 4.54/4.71 tff(19671,plain,
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% 4.54/4.71 inference(unit_resolution,[status(thm)],[163, 19670])).
% 4.54/4.71 tff(19672,plain,
% 4.54/4.71 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2969, 19669, 19653, 135, 19659])).
% 4.54/4.71 tff(19673,plain,
% 4.54/4.71 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1313, 19672])).
% 4.54/4.71 tff(19674,plain,
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% 4.54/4.71 inference(unit_resolution,[status(thm)],[18397, 19673, 19671, 19653, 19659, 135, 19663, 19665, 269])).
% 4.54/4.71 tff(19675,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19676,plain,
% 4.54/4.71 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19675, 135])).
% 4.54/4.71 tff(19677,plain,
% 4.54/4.71 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[295, 19676])).
% 4.54/4.71 tff(19678,plain,
% 4.54/4.71 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[15654, 1020, 135, 19653])).
% 4.54/4.71 tff(19679,plain,
% 4.54/4.71 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[69, 19678])).
% 4.54/4.71 tff(19680,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[14869, 1073, 19679, 19375])).
% 4.54/4.71 tff(19681,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[336, 19680])).
% 4.54/4.71 tff(19682,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[18936, 19681, 19653, 1020])).
% 4.54/4.71 tff(19683,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[201, 19682])).
% 4.54/4.71 tff(19684,plain,
% 4.54/4.71 (~b(s(s(s(s(s(z))))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5467, 91, 19375, 1073, 19683, 19367, 19677])).
% 4.54/4.71 tff(19685,plain,
% 4.54/4.71 (r(s(s(s(s(s(z))))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[427, 19684])).
% 4.54/4.71 tff(19686,plain,
% 4.54/4.71 (~r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5058, 115, 17756, 135, 19685])).
% 4.54/4.71 tff(19687,plain,
% 4.54/4.71 (b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[163, 19686])).
% 4.54/4.71 tff(19688,plain,
% 4.54/4.71 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5459, 115, 19685, 1020, 19681])).
% 4.54/4.71 tff(19689,plain,
% 4.54/4.71 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1313, 19688])).
% 4.54/4.71 tff(19690,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6758, 19689, 19687, 19375, 19679, 19683, 1073])).
% 4.54/4.71 tff(19691,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19692,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19691, 1073, 1020, 135])).
% 4.54/4.71 tff(19693,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 19692])).
% 4.54/4.71 tff(19694,plain,
% 4.54/4.71 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6772, 19693, 17756, 1020, 19375, 19683, 135])).
% 4.54/4.71 tff(19695,plain,
% 4.54/4.71 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[394, 19694])).
% 4.54/4.71 tff(19696,plain,
% 4.54/4.71 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[6871, 19693, 19367, 19679])).
% 4.54/4.71 tff(19697,plain,
% 4.54/4.71 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1313, 19696])).
% 4.54/4.71 tff(19698,plain,
% 4.54/4.71 (~b(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[677, 19693, 19367, 19375])).
% 4.54/4.71 tff(19699,plain,
% 4.54/4.71 (r(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[113, 19698])).
% 4.54/4.71 tff(19700,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[15689, 19699, 19697, 19653, 19695])).
% 4.54/4.71 tff(19701,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19702,plain,
% 4.54/4.71 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19701, 1020, 135])).
% 4.54/4.71 tff(19703,plain,
% 4.54/4.71 (r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1093, 19702])).
% 4.54/4.71 tff(19704,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[15172, 19703, 1020])).
% 4.54/4.71 tff(19705,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[336, 19704])).
% 4.54/4.71 tff(19706,plain,
% 4.54/4.71 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5775, 19705, 19367, 19679])).
% 4.54/4.71 tff(19707,plain,
% 4.54/4.71 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[246, 19706])).
% 4.54/4.71 tff(19708,plain,
% 4.54/4.71 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5811, 19707, 19367, 19679, 19705])).
% 4.54/4.71 tff(19709,plain,
% 4.54/4.71 (r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4476, 19708])).
% 4.54/4.71 tff(19710,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[4445, 19705, 19679, 19677])).
% 4.54/4.71 tff(19711,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[201, 19710])).
% 4.54/4.71 tff(19712,plain,
% 4.54/4.71 (~r(s(s(z)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5819, 125, 19711, 135, 19709])).
% 4.54/4.71 tff(19713,plain,
% 4.54/4.71 (b(s(s(z)), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[857, 19712])).
% 4.54/4.71 tff(19714,plain,
% 4.54/4.71 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[17134, 19705, 19367, 19679])).
% 4.54/4.71 tff(19715,plain,
% 4.54/4.71 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1313, 19714])).
% 4.54/4.71 tff(19716,plain,
% 4.54/4.71 (~r(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[17842, 19715, 19653])).
% 4.54/4.71 tff(19717,plain,
% 4.54/4.71 (b(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[113, 19716])).
% 4.54/4.71 tff(19718,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[677, 19717, 19367, 19375])).
% 4.54/4.71 tff(19719,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 19718])).
% 4.54/4.71 tff(19720,plain,
% 4.54/4.71 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5930, 19719, 17756, 1020, 19711])).
% 4.54/4.71 tff(19721,plain,
% 4.54/4.71 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[394, 19720])).
% 4.54/4.71 tff(19722,plain,
% 4.54/4.71 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5829, 91, 19721, 19679, 19713, 19367, 19677])).
% 4.54/4.71 tff(19723,plain,
% 4.54/4.71 (r(s(s(z)), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5666, 19722])).
% 4.54/4.71 tff(19724,plain,
% 4.54/4.71 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5715, 19723, 19707, 19715])).
% 4.54/4.71 tff(19725,plain,
% 4.54/4.71 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5705, 19724])).
% 4.54/4.71 tff(19726,plain,
% 4.54/4.71 (~r(z, s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[17966, 19653, 17756])).
% 4.54/4.71 tff(19727,plain,
% 4.54/4.71 (b(z, s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[267, 19726])).
% 4.54/4.71 tff(19728,plain,
% 4.54/4.71 (~b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5950, 19721, 19727, 19717])).
% 4.54/4.71 tff(19729,plain,
% 4.54/4.71 (r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[163, 19728])).
% 4.54/4.71 tff(19730,plain,
% 4.54/4.71 (~r(s(z), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[16490, 125, 135, 19719, 19729, 19709])).
% 4.54/4.71 tff(19731,plain,
% 4.54/4.71 (b(s(z), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1004, 19730])).
% 4.54/4.71 tff(19732,plain,
% 4.54/4.71 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[5298, 19731, 19677, 19725])).
% 4.54/4.71 tff(19733,plain,
% 4.54/4.71 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3164, 19732])).
% 4.54/4.71 tff(19734,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[8449, 91, 3382, 429, 4925, 3451])).
% 4.54/4.71 tff(19735,plain,((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19736,plain,
% 4.54/4.71 (~b(z, s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19735, 19731, 19727, 19713])).
% 4.54/4.71 tff(19737,plain,
% 4.54/4.71 (r(z, s(s(z)))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[3400, 19736])).
% 4.54/4.71 tff(19738,plain,
% 4.54/4.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(19739,plain,
% 4.54/4.71 (((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))) <=> ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(19740,plain,
% 4.54/4.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[19739])).
% 4.54/4.71 tff(19741,plain,
% 4.54/4.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))))),
% 4.54/4.71 inference(transitivity,[status(thm)],[19740, 19738])).
% 4.54/4.71 tff(19742,plain,
% 4.54/4.71 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 4.54/4.71 inference(quant_inst,[status(thm)],[])).
% 4.54/4.71 tff(19743,plain,
% 4.54/4.71 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 4.54/4.71 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 4.54/4.71 tff(19744,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19743, 125, 19737, 14848, 19715, 19733, 19723])).
% 4.54/4.71 tff(19745,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19746,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19745, 135])).
% 4.54/4.71 tff(19747,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), z)),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[314, 19746])).
% 4.54/4.71 tff(19748,plain,
% 4.54/4.71 (~r(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[15370, 204, 135, 19653, 19747])).
% 4.54/4.71 tff(19749,plain,
% 4.54/4.71 (b(z, s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[174, 19748])).
% 4.54/4.71 tff(19750,plain,
% 4.54/4.71 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[553, 204, 135, 19653])).
% 4.54/4.71 tff(19751,plain,
% 4.54/4.71 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[201, 19750])).
% 4.54/4.71 tff(19752,plain,
% 4.54/4.71 (~r(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[489, 19751, 19367, 19747, 19749])).
% 4.54/4.71 tff(19753,plain,
% 4.54/4.71 (b(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[113, 19752])).
% 4.54/4.71 tff(19754,plain,
% 4.54/4.71 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[677, 19753, 19367, 19749])).
% 4.54/4.71 tff(19755,plain,
% 4.54/4.71 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[689, 19754])).
% 4.54/4.71 tff(19756,plain,
% 4.54/4.71 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[437, 19753, 19677, 19747, 19751, 19727])).
% 4.54/4.71 tff(19757,plain,
% 4.54/4.71 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[1313, 19756])).
% 4.54/4.71 tff(19758,plain,
% 4.54/4.71 ($false),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[2969, 19757, 19755, 19653, 135, 204])).
% 4.54/4.71 tff(19759,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.71 tff(19760,plain,
% 4.54/4.71 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[19759, 135])).
% 4.54/4.71 tff(19761,plain,
% 4.54/4.71 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[69, 19760])).
% 4.54/4.71 tff(19762,plain,
% 4.54/4.71 (~r(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[17842, 203, 545])).
% 4.54/4.71 tff(19763,plain,
% 4.54/4.71 (b(z, s(s(s(s(s(z))))))),
% 4.54/4.71 inference(unit_resolution,[status(thm)],[113, 19762])).
% 4.54/4.71 tff(19764,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(19765,plain,
% 4.54/4.71 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.54/4.71 inference(rewrite,[status(thm)],[])).
% 4.54/4.71 tff(19766,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 4.54/4.71 inference(monotonicity,[status(thm)],[19765])).
% 4.54/4.71 tff(19767,plain,
% 4.54/4.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[19766, 19764])).
% 4.54/4.72 tff(19768,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(19769,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[19768, 19767])).
% 4.54/4.72 tff(19770,plain,
% 4.54/4.72 ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19769, 91, 76, 17968, 19367, 297])).
% 4.54/4.72 tff(19771,plain,
% 4.54/4.72 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19770, 19763])).
% 4.54/4.72 tff(19772,plain,
% 4.54/4.72 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[394, 19771])).
% 4.54/4.72 tff(19773,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[18103, 125, 19772, 14848, 203, 17756, 545])).
% 4.54/4.72 tff(19774,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19775,plain,
% 4.54/4.72 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19774, 19653, 19761, 19677])).
% 4.54/4.72 tff(19776,plain,
% 4.54/4.72 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1313, 19775])).
% 4.54/4.72 tff(19777,plain,
% 4.54/4.72 (~b(z, s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19629, 19761, 19747])).
% 4.54/4.72 tff(19778,plain,
% 4.54/4.72 (r(z, s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[174, 19777])).
% 4.54/4.72 tff(19779,plain,
% 4.54/4.72 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[6871, 19776, 19367, 19761])).
% 4.54/4.72 tff(19780,plain,
% 4.54/4.72 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[689, 19779])).
% 4.54/4.72 tff(19781,plain,
% 4.54/4.72 (~r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[8696, 19780, 17756, 135, 19778])).
% 4.54/4.72 tff(19782,plain,
% 4.54/4.72 (b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[163, 19781])).
% 4.54/4.72 tff(19783,plain,
% 4.54/4.72 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[501, 19782, 19776, 19677])).
% 4.54/4.72 tff(19784,plain,
% 4.54/4.72 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[246, 19783])).
% 4.54/4.72 tff(19785,plain,
% 4.54/4.72 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[11231, 19776, 19367, 19727, 19761, 19747])).
% 4.54/4.72 tff(19786,plain,
% 4.54/4.72 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[394, 19785])).
% 4.54/4.72 tff(19787,plain,
% 4.54/4.72 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19342, 2446, 19653])).
% 4.54/4.72 tff(19788,plain,
% 4.54/4.72 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[3164, 19787])).
% 4.54/4.72 tff(19789,plain,
% 4.54/4.72 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19643, 19784, 19747, 19761])).
% 4.54/4.72 tff(19790,plain,
% 4.54/4.72 (b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1093, 19789])).
% 4.54/4.72 tff(19791,plain,
% 4.54/4.72 (~r(s(s(z)), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[9603, 19788, 17756, 135, 19653, 19677, 2446, 19778])).
% 4.54/4.72 tff(19792,plain,
% 4.54/4.72 (b(s(s(z)), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[898, 19791])).
% 4.54/4.72 tff(19793,plain,
% 4.54/4.72 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19291, 19792, 19790, 19788])).
% 4.54/4.72 tff(19794,plain,
% 4.54/4.72 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[5705, 19793])).
% 4.54/4.72 tff(19795,plain,
% 4.54/4.72 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[5308, 19794, 19786, 19784, 19653])).
% 4.54/4.72 tff(19796,plain,
% 4.54/4.72 (b(s(s(s(s(s(z))))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[5101, 19795])).
% 4.54/4.72 tff(19797,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19798,plain,
% 4.54/4.72 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19799,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[19798])).
% 4.54/4.72 tff(19800,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[19799, 19797])).
% 4.54/4.72 tff(19801,plain,
% 4.54/4.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~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(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(19802,plain,
% 4.54/4.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 4.54/4.72 tff(19803,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19802, 125, 135, 4961, 545, 2446, 4539])).
% 4.54/4.72 tff(19804,plain,((~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19805,plain,
% 4.54/4.72 (~r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19804, 19794, 135, 19653, 2446])).
% 4.54/4.72 tff(19806,plain,
% 4.54/4.72 (b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[4476, 19805])).
% 4.54/4.72 tff(19807,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19808,plain,
% 4.54/4.72 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))) <=> ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19809,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[19808])).
% 4.54/4.72 tff(19810,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[19809, 19807])).
% 4.54/4.72 tff(19811,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(19812,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[19811, 19810])).
% 4.54/4.72 tff(19813,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19812, 91, 19806, 19788, 79, 19776, 19747, 19796])).
% 4.54/4.72 tff(19814,plain,((~r(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19815,plain,
% 4.54/4.72 (~r(s(s(z)), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19814, 79, 135])).
% 4.54/4.72 tff(19816,plain,
% 4.54/4.72 (b(s(s(z)), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[857, 19815])).
% 4.54/4.72 tff(19817,plain,
% 4.54/4.72 (~b(s(z), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19735, 3382, 17968, 3451])).
% 4.54/4.72 tff(19818,plain,
% 4.54/4.72 (~r(s(z), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[18820, 3382, 545, 410, 79, 3103, 216])).
% 4.54/4.72 tff(19819,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1004, 19818, 19817])).
% 4.54/4.72 tff(19820,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19821,plain,
% 4.54/4.72 (~b(z, s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19820, 3103, 410, 79, 545, 216, 3451])).
% 4.54/4.72 tff(19822,plain,
% 4.54/4.72 (r(z, s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[3400, 19821])).
% 4.54/4.72 tff(19823,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19360, 125, 19822, 14848, 17756, 3103, 545])).
% 4.54/4.72 tff(19824,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19825,plain,
% 4.54/4.72 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19824, 79, 19786, 19653, 19784, 19816])).
% 4.54/4.72 tff(19826,plain,
% 4.54/4.72 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[3164, 19825])).
% 4.54/4.72 tff(19827,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19828,plain,
% 4.54/4.72 (((~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), 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(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19829,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z)))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[19828])).
% 4.54/4.72 tff(19830,plain,
% 4.54/4.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[19829, 19827])).
% 4.54/4.72 tff(19831,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), 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)))))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(19832,plain,
% 4.54/4.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z)))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[19831, 19830])).
% 4.54/4.72 tff(19833,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19832, 91, 76, 4456, 3151, 429, 74, 3451])).
% 4.54/4.72 tff(19834,plain,((~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(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19835,plain,
% 4.54/4.72 (~b(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19834, 19826, 19761, 19727, 19747, 19816])).
% 4.54/4.72 tff(19836,plain,
% 4.54/4.72 (r(s(s(z)), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[4476, 19835])).
% 4.54/4.72 tff(19837,plain,
% 4.54/4.72 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[3159, 19826, 19367, 19776, 19677, 19782])).
% 4.54/4.72 tff(19838,plain,
% 4.54/4.72 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[938, 19837])).
% 4.54/4.72 tff(19839,plain,
% 4.54/4.72 (~r(s(z), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[4555, 19836, 135, 19838])).
% 4.54/4.72 tff(19840,plain,
% 4.54/4.72 (b(s(z), s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[1004, 19839])).
% 4.54/4.72 tff(19841,plain,
% 4.54/4.72 (~b(z, s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19735, 19840, 19727, 19816])).
% 4.54/4.72 tff(19842,plain,
% 4.54/4.72 (r(z, s(s(z)))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[3400, 19841])).
% 4.54/4.72 tff(19843,plain,
% 4.54/4.72 (((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~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(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19844,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, 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)))), s(s(z))))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[19843])).
% 4.54/4.72 tff(19845,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, 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)))), s(s(z)))))),
% 4.54/4.72 inference(transitivity,[status(thm)],[19844, 9440])).
% 4.54/4.72 tff(19846,plain,
% 4.54/4.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(19847,plain,
% 4.54/4.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 4.54/4.72 tff(19848,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19847, 125, 19842, 19838, 19778, 19836])).
% 4.54/4.72 tff(19849,plain,((~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19850,plain,
% 4.54/4.72 (~b(s(s(s(s(s(z))))), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19849, 135])).
% 4.54/4.72 tff(19851,plain,
% 4.54/4.72 (r(s(s(s(s(s(z))))), z)),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[427, 19850])).
% 4.54/4.72 tff(19852,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19853,plain,
% 4.54/4.72 (((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.54/4.72 inference(rewrite,[status(thm)],[])).
% 4.54/4.72 tff(19854,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))))),
% 4.54/4.72 inference(monotonicity,[status(thm)],[19853])).
% 4.54/4.72 tff(19855,plain,
% 4.54/4.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z)))),
% 4.54/4.72 inference(transitivity,[status(thm)],[19854, 19852])).
% 4.54/4.72 tff(19856,plain,
% 4.54/4.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 4.54/4.72 inference(quant_inst,[status(thm)],[])).
% 4.54/4.72 tff(19857,plain,
% 4.54/4.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))),
% 4.54/4.72 inference(modus_ponens,[status(thm)],[19856, 19855])).
% 4.54/4.72 tff(19858,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19857, 125, 19786, 17756, 19851, 19784, 19653])).
% 4.54/4.72 tff(19859,plain,(~r(s(z), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19860,plain,
% 4.54/4.72 (b(s(z), s(s(s(s(z)))))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[563, 19859])).
% 4.54/4.72 tff(19861,plain,
% 4.54/4.72 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[5940, 270, 17756, 1020])).
% 4.54/4.72 tff(19862,plain,
% 4.54/4.72 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[201, 19861])).
% 4.54/4.72 tff(19863,plain,
% 4.54/4.72 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[447, 270, 17756, 71])).
% 4.54/4.72 tff(19864,plain,
% 4.54/4.72 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[394, 19863])).
% 4.54/4.72 tff(19865,plain,
% 4.54/4.72 ($false),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[7361, 19864, 19862, 19367, 19860])).
% 4.54/4.72 tff(19866,plain,((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.72 tff(19867,plain,
% 4.54/4.72 (~r(z, s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[19866, 1020, 71])).
% 4.54/4.72 tff(19868,plain,
% 4.54/4.72 (b(z, s(z))),
% 4.54/4.72 inference(unit_resolution,[status(thm)],[267, 19867])).
% 4.54/4.72 tff(19869,plain,
% 4.54/4.72 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[3962, 19868, 19860, 178])).
% 4.54/4.73 tff(19870,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[201, 19869])).
% 4.54/4.73 tff(19871,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1114, 19868, 19367, 19860, 178])).
% 4.54/4.73 tff(19872,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 19871])).
% 4.54/4.73 tff(19873,plain,
% 4.54/4.73 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5930, 19872, 17756, 1020, 19870])).
% 4.54/4.73 tff(19874,plain,
% 4.54/4.73 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[394, 19873])).
% 4.54/4.73 tff(19875,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[15545, 19872, 204, 71])).
% 4.54/4.73 tff(19876,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 19875])).
% 4.54/4.73 tff(19877,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18912, 19870, 204])).
% 4.54/4.73 tff(19878,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[542, 19877])).
% 4.54/4.73 tff(19879,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18483, 19878, 19876, 17756, 19860, 71, 269, 19874])).
% 4.54/4.73 tff(19880,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19881,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19880, 269, 71, 204, 178])).
% 4.54/4.73 tff(19882,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[314, 19881])).
% 4.54/4.73 tff(19883,plain,
% 4.54/4.73 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[8051, 19882, 19860, 71, 178])).
% 4.54/4.73 tff(19884,plain,
% 4.54/4.73 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[394, 19883])).
% 4.54/4.73 tff(19885,plain,
% 4.54/4.73 (~b(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[573, 19882, 19860, 178])).
% 4.54/4.73 tff(19886,plain,
% 4.54/4.73 (r(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[267, 19885])).
% 4.54/4.73 tff(19887,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17966, 19886, 17756])).
% 4.54/4.73 tff(19888,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[542, 19887])).
% 4.54/4.73 tff(19889,plain,
% 4.54/4.73 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18483, 19888, 17756, 19860, 71, 269, 19884])).
% 4.54/4.73 tff(19890,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10691, 19884, 19367, 19860])).
% 4.54/4.73 tff(19891,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 19890])).
% 4.54/4.73 tff(19892,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[15545, 19891, 204, 71])).
% 4.54/4.73 tff(19893,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 19892, 19889])).
% 4.54/4.73 tff(19894,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19895,plain,
% 4.54/4.73 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19894, 178, 71, 204])).
% 4.54/4.73 tff(19896,plain,
% 4.54/4.73 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[295, 19895])).
% 4.54/4.73 tff(19897,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19866, 270, 71])).
% 4.54/4.73 tff(19898,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[314, 19897])).
% 4.54/4.73 tff(19899,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17966, 270, 17756])).
% 4.54/4.73 tff(19900,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[542, 19899])).
% 4.54/4.73 tff(19901,plain,
% 4.54/4.73 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19472, 19900, 297, 204, 19898, 71])).
% 4.54/4.73 tff(19902,plain,
% 4.54/4.73 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17929, 19864, 71, 19900])).
% 4.54/4.73 tff(19903,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1093, 19902, 19901])).
% 4.54/4.73 tff(19904,plain,((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19905,plain,
% 4.54/4.73 (~r(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19904, 19896, 71, 204])).
% 4.54/4.73 tff(19906,plain,
% 4.54/4.73 (b(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[267, 19905])).
% 4.54/4.73 tff(19907,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[3962, 19906, 19860, 178])).
% 4.54/4.73 tff(19908,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[201, 19907])).
% 4.54/4.73 tff(19909,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[573, 19906, 19860, 178])).
% 4.54/4.73 tff(19910,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[314, 19909])).
% 4.54/4.73 tff(19911,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1114, 19906, 19367, 19860, 178])).
% 4.54/4.73 tff(19912,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 19911])).
% 4.54/4.73 tff(19913,plain,
% 4.54/4.73 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5930, 19912, 17756, 19910, 19908])).
% 4.54/4.73 tff(19914,plain,
% 4.54/4.73 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[394, 19913])).
% 4.54/4.73 tff(19915,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[15545, 19912, 204, 71])).
% 4.54/4.73 tff(19916,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 19915])).
% 4.54/4.73 tff(19917,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18912, 19908, 204])).
% 4.54/4.73 tff(19918,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[542, 19917])).
% 4.54/4.73 tff(19919,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18874, 19918, 19916, 19914, 19896])).
% 4.54/4.73 tff(19920,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19921,plain,
% 4.54/4.73 (~b(z, s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19920, 71, 70])).
% 4.54/4.73 tff(19922,plain,
% 4.54/4.73 (r(z, s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[174, 19921])).
% 4.54/4.73 tff(19923,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[15349, 19922, 70, 71])).
% 4.54/4.73 tff(19924,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 19923])).
% 4.54/4.73 tff(19925,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[7361, 77, 19367, 19860])).
% 4.54/4.73 tff(19926,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[201, 19925])).
% 4.54/4.73 tff(19927,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18912, 19926, 204])).
% 4.54/4.73 tff(19928,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[542, 19927])).
% 4.54/4.73 tff(19929,plain,
% 4.54/4.73 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18874, 19928, 348, 77])).
% 4.54/4.73 tff(19930,plain,
% 4.54/4.73 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18488, 19928, 19860, 348, 77])).
% 4.54/4.73 tff(19931,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[295, 19930, 19929])).
% 4.54/4.73 tff(19932,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19933,plain,
% 4.54/4.73 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19932, 19924, 70])).
% 4.54/4.73 tff(19934,plain,
% 4.54/4.73 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[394, 19933])).
% 4.54/4.73 tff(19935,plain,
% 4.54/4.73 (~r(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[447, 19934, 17756, 71])).
% 4.54/4.73 tff(19936,plain,
% 4.54/4.73 (b(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[267, 19935])).
% 4.54/4.73 tff(19937,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14995, 19922, 70])).
% 4.54/4.73 tff(19938,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[314, 19937])).
% 4.54/4.73 tff(19939,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[15348, 71, 80, 204, 765])).
% 4.54/4.73 tff(19940,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 19939])).
% 4.54/4.73 tff(19941,plain,
% 4.54/4.73 (~r(s(z), s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18382, 765, 411, 80, 269])).
% 4.54/4.73 tff(19942,plain,
% 4.54/4.73 (b(s(z), s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[563, 19941])).
% 4.54/4.73 tff(19943,plain,
% 4.54/4.73 ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[15367, 125, 204, 411, 80])).
% 4.54/4.73 tff(19944,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19943, 765])).
% 4.54/4.73 tff(19945,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[542, 19944])).
% 4.54/4.73 tff(19946,plain,
% 4.54/4.73 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18482, 19940, 411, 269, 765, 71, 19942, 19945])).
% 4.54/4.73 tff(19947,plain,
% 4.54/4.73 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[394, 19946])).
% 4.54/4.73 tff(19948,plain,
% 4.54/4.73 (~b(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17751, 19947, 765, 19942, 13891, 349, 19940, 71, 429])).
% 4.54/4.73 tff(19949,plain,
% 4.54/4.73 (r(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[113, 19948])).
% 4.54/4.73 tff(19950,plain,
% 4.54/4.73 (~r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5620, 19949, 411, 71])).
% 4.54/4.73 tff(19951,plain,
% 4.54/4.73 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[11635, 410, 765, 71, 269])).
% 4.54/4.73 tff(19952,plain,
% 4.54/4.73 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[246, 19951])).
% 4.54/4.73 tff(19953,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5050, 19952, 349, 348])).
% 4.54/4.73 tff(19954,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[336, 19953])).
% 4.54/4.73 tff(19955,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[7611, 19954, 269, 115, 410])).
% 4.54/4.73 tff(19956,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[201, 19955])).
% 4.54/4.73 tff(19957,plain,
% 4.54/4.73 (~b(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[17751, 410, 765, 565, 13891, 349, 348, 71, 429])).
% 4.54/4.73 tff(19958,plain,
% 4.54/4.73 (r(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[113, 19957])).
% 4.54/4.73 tff(19959,plain,
% 4.54/4.73 (~r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5620, 19958, 411, 71])).
% 4.54/4.73 tff(19960,plain,
% 4.54/4.73 (b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[163, 19959])).
% 4.54/4.73 tff(19961,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14349, 91, 565, 19960, 19956, 349])).
% 4.54/4.73 tff(19962,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19963,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19962, 19947, 349, 269, 19942, 19940, 411, 71, 765, 429])).
% 4.54/4.73 tff(19964,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 19963])).
% 4.54/4.73 tff(19965,plain,
% 4.54/4.73 (~b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6663, 19964, 19942, 349])).
% 4.54/4.73 tff(19966,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[163, 19965, 19950])).
% 4.54/4.73 tff(19967,plain,((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19968,plain,
% 4.54/4.73 ((~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19967, 14848])).
% 4.54/4.73 tff(19969,plain,
% 4.54/4.73 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19968, 19936, 17756, 19367, 19922, 71, 70])).
% 4.54/4.73 tff(19970,plain,
% 4.54/4.73 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[295, 19969])).
% 4.54/4.73 tff(19971,plain,
% 4.54/4.73 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19472, 526, 19970, 70, 19938, 71])).
% 4.54/4.73 tff(19972,plain,
% 4.54/4.73 (r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1093, 19971])).
% 4.54/4.73 tff(19973,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6395, 526, 19860, 19970])).
% 4.54/4.73 tff(19974,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[336, 19973])).
% 4.54/4.73 tff(19975,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19456, 19974, 19972, 1, 19970])).
% 4.54/4.73 tff(19976,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19977,plain,
% 4.54/4.73 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19976, 71, 1])).
% 4.54/4.73 tff(19978,plain,
% 4.54/4.73 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[542, 19977])).
% 4.54/4.73 tff(19979,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18912, 19978, 70])).
% 4.54/4.73 tff(19980,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[201, 19979])).
% 4.54/4.73 tff(19981,plain,
% 4.54/4.73 (~b(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[437, 19980, 19970, 19938, 19924, 19936])).
% 4.54/4.73 tff(19982,plain,
% 4.54/4.73 (r(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[113, 19981])).
% 4.54/4.73 tff(19983,plain,
% 4.54/4.73 (~b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14351, 19980, 19367, 19860])).
% 4.54/4.73 tff(19984,plain,
% 4.54/4.73 (r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[163, 19983])).
% 4.54/4.73 tff(19985,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5620, 19984, 19982, 17756, 71])).
% 4.54/4.73 tff(19986,plain,((~r(s(s(s(s(s(z))))), z)) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(19987,plain,
% 4.54/4.73 (~r(s(s(s(s(s(z))))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19986, 1])).
% 4.54/4.73 tff(19988,plain,
% 4.54/4.73 (b(s(s(s(s(s(z))))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[427, 19987])).
% 4.54/4.73 tff(19989,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1196, 16390, 19367, 19860, 79])).
% 4.54/4.73 tff(19990,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[201, 19989])).
% 4.54/4.73 tff(19991,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6105, 16390, 19367, 79])).
% 4.54/4.73 tff(19992,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 19991])).
% 4.54/4.73 tff(19993,plain,
% 4.54/4.73 (~r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5930, 19992, 17756, 1020, 19990])).
% 4.54/4.73 tff(19994,plain,
% 4.54/4.73 (b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[394, 19993])).
% 4.54/4.73 tff(19995,plain,
% 4.54/4.73 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19932, 19994, 204])).
% 4.54/4.73 tff(19996,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[15568, 19990, 269, 1020])).
% 4.54/4.73 tff(19997,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[336, 19996])).
% 4.54/4.73 tff(19998,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19383, 19997, 204, 1020, 16390, 526, 19990])).
% 4.54/4.73 tff(19999,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 19998, 19995])).
% 4.54/4.73 tff(20000,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(20001,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[20000, 269, 526, 204, 79])).
% 4.54/4.73 tff(20002,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), z)),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[314, 20001])).
% 4.54/4.73 tff(20003,plain,
% 4.54/4.73 (~b(z, s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[597, 20002, 19367, 79])).
% 4.54/4.73 tff(20004,plain,
% 4.54/4.73 (r(z, s(s(s(s(z)))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[174, 20003])).
% 4.54/4.73 tff(20005,plain,
% 4.54/4.73 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19490, 203, 204, 74])).
% 4.54/4.73 tff(20006,plain,
% 4.54/4.73 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 20005])).
% 4.54/4.73 tff(20007,plain,
% 4.54/4.73 (~b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6663, 20006, 19367, 19860])).
% 4.54/4.73 tff(20008,plain,
% 4.54/4.73 (r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[163, 20007])).
% 4.54/4.73 tff(20009,plain,
% 4.54/4.73 (~b(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[16831, 20006, 19367, 204, 203])).
% 4.54/4.73 tff(20010,plain,
% 4.54/4.73 (r(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[113, 20009])).
% 4.54/4.73 tff(20011,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18053, 20010, 20008, 17756, 269])).
% 4.54/4.73 tff(20012,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(20013,plain,
% 4.54/4.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[20012, 269, 204, 20002])).
% 4.54/4.73 tff(20014,plain,
% 4.54/4.73 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 20013])).
% 4.54/4.73 tff(20015,plain,
% 4.54/4.73 (~b(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1081, 20014, 79, 17759])).
% 4.54/4.73 tff(20016,plain,
% 4.54/4.73 (r(z, s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[113, 20015])).
% 4.54/4.73 tff(20017,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[10691, 77, 19367, 19860])).
% 4.54/4.73 tff(20018,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 20017])).
% 4.54/4.73 tff(20019,plain,
% 4.54/4.73 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19932, 77, 204])).
% 4.54/4.73 tff(20020,plain,
% 4.54/4.73 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1313, 20019])).
% 4.54/4.73 tff(20021,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[19490, 20020, 20018, 204, 74])).
% 4.54/4.73 tff(20022,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(20023,plain,
% 4.54/4.73 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[20022, 20002, 204])).
% 4.54/4.73 tff(20024,plain,
% 4.54/4.73 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[394, 20023])).
% 4.54/4.73 tff(20025,plain,
% 4.54/4.73 (~r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[18053, 20016, 17756, 269])).
% 4.54/4.73 tff(20026,plain,
% 4.54/4.73 (b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[163, 20025])).
% 4.54/4.73 tff(20027,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[6663, 20026, 19367, 19860])).
% 4.54/4.73 tff(20028,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[689, 20027])).
% 4.54/4.73 tff(20029,plain,
% 4.54/4.73 (~r(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[8672, 20028, 20024, 20016, 20004])).
% 4.54/4.73 tff(20030,plain,
% 4.54/4.73 (b(z, s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[267, 20029])).
% 4.54/4.73 tff(20031,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5420, 20002, 19367, 79, 526, 17759])).
% 4.54/4.73 tff(20032,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[201, 20031])).
% 4.54/4.73 tff(20033,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(20034,plain,
% 4.54/4.73 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(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(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(20035,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[20034])).
% 4.54/4.73 tff(20036,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 4.54/4.73 inference(transitivity,[status(thm)],[20035, 20033])).
% 4.54/4.73 tff(20037,plain,
% 4.54/4.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 4.54/4.73 inference(quant_inst,[status(thm)],[])).
% 4.54/4.73 tff(20038,plain,
% 4.54/4.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[20037, 20036])).
% 4.54/4.73 tff(20039,plain,
% 4.54/4.73 ($false),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[20038, 91, 3151, 565, 429, 1073, 923, 526])).
% 4.54/4.73 tff(20040,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.73 tff(20041,plain,
% 4.54/4.73 (~b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[20040, 3151, 19860, 1073, 526, 429])).
% 4.54/4.73 tff(20042,plain,
% 4.54/4.73 (r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[938, 20041])).
% 4.54/4.73 tff(20043,plain,
% 4.54/4.73 (~r(s(z), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14721, 20042, 410, 544, 115])).
% 4.54/4.73 tff(20044,plain,
% 4.54/4.73 (b(s(z), s(s(z)))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[1004, 20043])).
% 4.54/4.73 tff(20045,plain,
% 4.54/4.73 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[14638, 20042, 544, 410, 115])).
% 4.54/4.73 tff(20046,plain,
% 4.54/4.73 (b(s(s(z)), s(s(s(s(s(z))))))),
% 4.54/4.73 inference(unit_resolution,[status(thm)],[5666, 20045])).
% 4.54/4.73 tff(20047,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(20048,plain,
% 4.54/4.73 (((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.54/4.73 inference(rewrite,[status(thm)],[])).
% 4.54/4.73 tff(20049,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))))),
% 4.54/4.73 inference(monotonicity,[status(thm)],[20048])).
% 4.54/4.73 tff(20050,plain,
% 4.54/4.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 4.54/4.73 inference(transitivity,[status(thm)],[20049, 20047])).
% 4.54/4.73 tff(20051,plain,
% 4.54/4.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 4.54/4.73 inference(quant_inst,[status(thm)],[])).
% 4.54/4.73 tff(20052,plain,
% 4.54/4.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 4.54/4.73 inference(modus_ponens,[status(thm)],[20051, 20050])).
% 4.54/4.73 tff(20053,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20052, 91, 3151, 19860, 20046, 20044, 526, 19367])).
% 4.54/4.74 tff(20054,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20055,plain,
% 4.54/4.74 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20054, 20024, 526, 20032, 20028, 17759, 20030])).
% 4.54/4.74 tff(20056,plain,
% 4.54/4.74 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[3164, 20055])).
% 4.54/4.74 tff(20057,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[19540, 20056, 204, 20004])).
% 4.54/4.74 tff(20058,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), s(s(z)))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[938, 20057])).
% 4.54/4.74 tff(20059,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), 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(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(20060,plain,
% 4.54/4.74 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.54/4.74 inference(rewrite,[status(thm)],[])).
% 4.54/4.74 tff(20061,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))))),
% 4.54/4.74 inference(monotonicity,[status(thm)],[20060])).
% 4.54/4.74 tff(20062,plain,
% 4.54/4.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 4.54/4.74 inference(transitivity,[status(thm)],[20061, 20059])).
% 4.54/4.74 tff(20063,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 4.54/4.74 inference(quant_inst,[status(thm)],[])).
% 4.54/4.74 tff(20064,plain,
% 4.54/4.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 4.54/4.74 inference(modus_ponens,[status(thm)],[20063, 20062])).
% 4.54/4.74 tff(20065,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20064, 91, 924, 19860, 79, 176, 923, 19367])).
% 4.54/4.74 tff(20066,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20067,plain,
% 4.54/4.74 (~b(s(s(z)), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20066, 20026, 79, 20058])).
% 4.54/4.74 tff(20068,plain,
% 4.54/4.74 (r(s(s(z)), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[898, 20067])).
% 4.54/4.74 tff(20069,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[17489, 125, 14848, 204, 20068, 20004, 20056])).
% 4.54/4.74 tff(20070,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20071,plain,
% 4.54/4.74 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20070, 526, 19988, 70])).
% 4.54/4.74 tff(20072,plain,
% 4.54/4.74 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[295, 20071])).
% 4.54/4.74 tff(20073,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[6395, 20072, 19860, 526])).
% 4.54/4.74 tff(20074,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[336, 20073])).
% 4.54/4.74 tff(20075,plain,
% 4.54/4.74 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[19456, 20074, 1, 20072])).
% 4.54/4.74 tff(20076,plain,
% 4.54/4.74 (b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1093, 20075])).
% 4.54/4.74 tff(20077,plain,
% 4.54/4.74 (~b(z, s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[17818, 91, 20076, 526, 20072])).
% 4.54/4.74 tff(20078,plain,
% 4.54/4.74 (r(z, s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[267, 20077])).
% 4.54/4.74 tff(20079,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[5940, 1020, 17756, 270])).
% 4.54/4.74 tff(20080,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[201, 20079])).
% 4.54/4.74 tff(20081,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1196, 20080, 16390, 19367, 19860, 79])).
% 4.54/4.74 tff(20082,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20083,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20082, 20078, 19988, 70])).
% 4.54/4.74 tff(20084,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[314, 20083])).
% 4.54/4.74 tff(20085,plain,
% 4.54/4.74 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20022, 20084, 70])).
% 4.54/4.74 tff(20086,plain,
% 4.54/4.74 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[394, 20085])).
% 4.54/4.74 tff(20087,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[5420, 20084, 19367, 19988, 526, 20076])).
% 4.54/4.74 tff(20088,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[201, 20087])).
% 4.54/4.74 tff(20089,plain,
% 4.54/4.74 (~b(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[597, 20084, 19367, 19988])).
% 4.54/4.74 tff(20090,plain,
% 4.54/4.74 (r(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[174, 20089])).
% 4.54/4.74 tff(20091,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[10502, 20090, 17756, 19860, 20078, 20088, 20086])).
% 4.54/4.74 tff(20092,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[689, 20091])).
% 4.54/4.74 tff(20093,plain,
% 4.54/4.74 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[19490, 20092, 70, 20084])).
% 4.54/4.74 tff(20094,plain,
% 4.54/4.74 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1313, 20093])).
% 4.54/4.74 tff(20095,plain,
% 4.54/4.74 (~r(z, s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[8672, 20092, 20078, 20086, 20090])).
% 4.54/4.74 tff(20096,plain,
% 4.54/4.74 (b(z, s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[113, 20095])).
% 4.54/4.74 tff(20097,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1081, 20096, 20094, 19988, 20076])).
% 4.54/4.74 tff(20098,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20099,plain,
% 4.54/4.74 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20098, 1])).
% 4.54/4.74 tff(20100,plain,
% 4.54/4.74 (r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[542, 20099])).
% 4.54/4.74 tff(20101,plain,
% 4.54/4.74 (~r(z, s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[17966, 20100, 17756])).
% 4.54/4.74 tff(20102,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[267, 20101])).
% 4.54/4.74 tff(20103,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[18912, 20100, 70])).
% 4.54/4.74 tff(20104,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[201, 20103])).
% 4.54/4.74 tff(20105,plain,
% 4.54/4.74 (~b(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[3962, 20104, 19860, 20102])).
% 4.54/4.74 tff(20106,plain,
% 4.54/4.74 (r(z, s(s(s(s(z)))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[174, 20105])).
% 4.54/4.74 tff(20107,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[15367, 125, 14848, 70, 17756, 20106, 20100])).
% 4.54/4.74 tff(20108,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20109,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 4.54/4.74 tff(20110,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[689, 20109])).
% 4.54/4.74 tff(20111,plain,
% 4.54/4.74 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[19774, 545, 20108, 203])).
% 4.54/4.74 tff(20112,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[295, 20111])).
% 4.54/4.74 tff(20113,plain,
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% 4.54/4.74 tff(20114,plain,
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% 4.54/4.74 tff(20115,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[17757, 20112, 17756])).
% 4.54/4.74 tff(20116,plain,
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% 4.54/4.74 tff(20117,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[14097, 20112, 20108])).
% 4.54/4.74 tff(20118,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[14869, 20117, 20108, 20116])).
% 4.54/4.74 tff(20119,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[336, 20118])).
% 4.54/4.74 tff(20120,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[4195, 20119, 20114, 203, 115])).
% 4.54/4.74 tff(20121,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20122,plain,
% 4.54/4.74 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20121, 12257, 20110])).
% 4.54/4.74 tff(20123,plain,
% 4.54/4.74 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[542, 20122])).
% 4.54/4.74 tff(20124,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[19581, 20123, 20108])).
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[295, 20124])).
% 4.54/4.74 tff(20126,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[6395, 20125, 19860, 20123])).
% 4.54/4.74 tff(20127,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[336, 20126])).
% 4.54/4.74 tff(20128,plain,
% 4.54/4.74 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[4195, 20127, 12257, 20110])).
% 4.54/4.74 tff(20129,plain,
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% 4.54/4.74 tff(20130,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(z))),
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% 4.54/4.74 tff(20131,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[201, 20130])).
% 4.54/4.74 tff(20132,plain,
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% 4.54/4.74 tff(20133,plain,
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% 4.54/4.74 tff(20135,plain,(b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20136,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 4.54/4.74 tff(20137,plain,
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% 4.54/4.74 tff(20138,plain,
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% 4.54/4.74 inference(unit_resolution,[status(thm)],[3962, 177, 19860, 429])).
% 4.54/4.74 tff(20139,plain,
% 4.54/4.74 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[8612, 177, 19860, 20108])).
% 4.54/4.74 tff(20140,plain,
% 4.54/4.74 (r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[295, 20139])).
% 4.54/4.74 tff(20141,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[14097, 20140, 20138, 20108])).
% 4.54/4.74 tff(20142,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20143,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[20142, 17968])).
% 4.54/4.74 tff(20144,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[201, 20143])).
% 4.54/4.74 tff(20145,plain,
% 4.54/4.74 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[7597, 20144, 20137, 545])).
% 4.54/4.74 tff(20146,plain,
% 4.54/4.74 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[295, 20145])).
% 4.54/4.74 tff(20147,plain,
% 4.54/4.74 (~r(s(s(s(s(z)))), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[18936, 20144, 545, 20137])).
% 4.54/4.74 tff(20148,plain,
% 4.54/4.74 (b(s(s(s(s(z)))), z)),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[314, 20147])).
% 4.54/4.74 tff(20149,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[6871, 20135, 19367, 20108])).
% 4.54/4.74 tff(20150,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[689, 20149])).
% 4.54/4.74 tff(20151,plain,
% 4.54/4.74 (~r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[10183, 20144, 545, 20137, 20150])).
% 4.54/4.74 tff(20152,plain,
% 4.54/4.74 (b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[163, 20151])).
% 4.54/4.74 tff(20153,plain,
% 4.54/4.74 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[501, 20152, 20135, 20146])).
% 4.54/4.74 tff(20154,plain,
% 4.54/4.74 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[246, 20153])).
% 4.54/4.74 tff(20155,plain,
% 4.54/4.74 (~r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[19643, 20154, 20148, 20108])).
% 4.54/4.74 tff(20156,plain,
% 4.54/4.74 (b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[1093, 20155])).
% 4.54/4.74 tff(20157,plain,
% 4.54/4.74 ($false),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[17744, 91, 19860, 17968, 20135, 20156, 19367, 20146])).
% 4.54/4.74 tff(20158,plain,(~r(s(s(s(s(s(s(z)))))), s(z))), inference(lemma,lemma(discharge,[]))).
% 4.54/4.74 tff(20159,plain,
% 4.54/4.74 (b(s(s(s(s(s(s(z)))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[542, 20158])).
% 4.54/4.74 tff(20160,plain,
% 4.54/4.74 (~b(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[7939, 20159, 19860, 20108])).
% 4.54/4.74 tff(20161,plain,
% 4.54/4.74 (r(s(s(s(s(z)))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[201, 20160])).
% 4.54/4.74 tff(20162,plain,
% 4.54/4.74 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[19581, 20159, 20108])).
% 4.54/4.74 tff(20163,plain,
% 4.54/4.74 (b(s(z), s(s(s(s(s(s(z)))))))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[295, 20162])).
% 4.54/4.74 tff(20164,plain,
% 4.54/4.74 (~b(s(s(s(s(s(z))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[18874, 20163, 20135, 20159])).
% 4.54/4.74 tff(20165,plain,
% 4.54/4.74 (r(s(s(s(s(s(z))))), s(z))),
% 4.54/4.74 inference(unit_resolution,[status(thm)],[394, 20164])).
% 4.54/4.75 tff(20166,plain,
% 4.54/4.75 (~r(s(s(s(s(z)))), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[5930, 20165, 17756, 20150, 20161])).
% 4.54/4.75 tff(20167,plain,
% 4.54/4.75 (b(s(s(s(s(z)))), z)),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[314, 20166])).
% 4.54/4.75 tff(20168,plain,
% 4.54/4.75 (~b(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[12267, 20167, 19860, 20108, 20159, 20163])).
% 4.54/4.75 tff(20169,plain,
% 4.54/4.75 (r(z, s(s(s(s(s(s(z)))))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[1093, 20168])).
% 4.54/4.75 tff(20170,plain,
% 4.54/4.75 (~r(s(z), s(s(s(s(s(z))))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[698, 20165, 20150, 20161])).
% 4.54/4.75 tff(20171,plain,
% 4.54/4.75 (b(s(z), s(s(s(s(s(z))))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[163, 20170])).
% 4.54/4.75 tff(20172,plain,
% 4.54/4.75 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[501, 20171, 20135, 20163])).
% 4.54/4.75 tff(20173,plain,
% 4.54/4.75 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[246, 20172])).
% 4.54/4.75 tff(20174,plain,
% 4.54/4.75 ($false),
% 4.54/4.75 inference(unit_resolution,[status(thm)],[19643, 20173, 20169, 20167, 20108])).
% 4.54/4.75 % SZS output end Proof
% 4.54/4.75 % E exiting
%------------------------------------------------------------------------------