%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRA154-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 06:34:09 PM UTC 2026
% Result : Unsatisfiable 1.43s 1.65s
% Output : Proof 3.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRA154-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.06 % Command : run_E %s %d THM
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 5 00:00:32 EDT 2026
% 0.07/0.25 % CPUTime :
% 1.43/1.65 % SZS status Unsatisfiable
% 1.43/1.65 % SZS output start Proof
% 1.43/1.65 tff(b_type, type, (
% 1.43/1.65 b: ( $i * $i ) > $o)).
% 1.43/1.65 tff(s_type, type, (
% 1.43/1.65 s: $i > $i)).
% 1.43/1.65 tff(z_type, type, (
% 1.43/1.65 z: $i)).
% 1.43/1.65 tff(r_type, type, (
% 1.43/1.65 r: ( $i * $i ) > $o)).
% 1.43/1.65 tff(inj_0_type, type, (
% 1.43/1.65 inj_0: $i > $i)).
% 1.43/1.65 tff(elem_1_type, type, (
% 1.43/1.65 elem_1: $i)).
% 1.43/1.65 tff(1,assumption,(r(z, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.65 tff(2,assumption,(r(z, s(s(z)))), introduced(assumption)).
% 1.43/1.65 tff(3,assumption,(r(s(s(s(s(s(z))))), s(s(z)))), introduced(assumption)).
% 1.43/1.65 tff(4,assumption,(b(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 1.43/1.65 tff(5,assumption,(r(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 1.43/1.65 tff(6,assumption,(r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.65 tff(7,assumption,(r(z, s(s(s(s(z)))))), introduced(assumption)).
% 1.43/1.65 tff(8,plain,
% 1.43/1.65 (^[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))))),
% 1.43/1.65 inference(bind,[status(th)],[])).
% 1.43/1.65 tff(9,plain,
% 1.43/1.65 (![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)))),
% 1.43/1.65 inference(quant_intro,[status(thm)],[8])).
% 1.43/1.65 tff(10,plain,
% 1.43/1.65 (![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)))),
% 1.43/1.65 inference(rewrite,[status(thm)],[])).
% 1.43/1.65 tff(11,plain,
% 1.43/1.65 (^[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)))))),
% 1.43/1.65 inference(bind,[status(th)],[])).
% 1.43/1.65 tff(12,plain,
% 1.43/1.65 (![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)))),
% 1.43/1.65 inference(quant_intro,[status(thm)],[11])).
% 1.43/1.65 tff(13,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/sandbox2/benchmark/theBenchmark.p','axr')).
% 1.43/1.65 tff(14,plain,
% 1.43/1.65 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 1.43/1.65 inference(modus_ponens,[status(thm)],[13, 12])).
% 1.43/1.65 tff(15,plain,
% 1.43/1.65 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 1.43/1.65 inference(modus_ponens,[status(thm)],[14, 10])).
% 1.43/1.65 tff(16,plain,(
% 1.43/1.65 ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 1.43/1.65 inference(skolemize,[status(sab)],[15])).
% 1.43/1.65 tff(17,plain,
% 1.43/1.65 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 1.43/1.65 inference(modus_ponens,[status(thm)],[16, 9])).
% 1.43/1.65 tff(18,plain,
% 1.43/1.65 (((~![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(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))),
% 1.43/1.65 inference(rewrite,[status(thm)],[])).
% 1.43/1.65 tff(19,plain,
% 1.43/1.65 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))),
% 1.43/1.65 inference(rewrite,[status(thm)],[])).
% 1.43/1.65 tff(20,plain,
% 1.43/1.65 (((~![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(s(z)))))), s(s(z)))) | (~r(z, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))))),
% 1.43/1.65 inference(monotonicity,[status(thm)],[19])).
% 1.43/1.65 tff(21,plain,
% 1.43/1.65 (((~![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(s(z)))))), s(s(z)))) | (~r(z, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))),
% 1.43/1.65 inference(transitivity,[status(thm)],[20, 18])).
% 1.43/1.65 tff(22,plain,
% 1.43/1.65 ((~![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(s(z)))))), s(s(z)))) | (~r(z, 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)))))))),
% 1.43/1.65 inference(quant_inst,[status(thm)],[])).
% 1.43/1.65 tff(23,plain,
% 1.43/1.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))),
% 1.43/1.65 inference(modus_ponens,[status(thm)],[22, 21])).
% 1.43/1.65 tff(24,plain,
% 1.43/1.65 ($false),
% 1.43/1.65 inference(unit_resolution,[status(thm)],[23, 17, 5, 2, 1, 7, 6])).
% 1.43/1.65 tff(25,plain,((~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(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.65 tff(26,plain,
% 1.43/1.65 (~r(z, s(s(s(s(z)))))),
% 1.43/1.65 inference(unit_resolution,[status(thm)],[25, 6, 1, 5, 2])).
% 1.43/1.65 tff(27,plain,
% 1.43/1.65 ((z = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = z)),
% 1.43/1.65 inference(commutativity,[status(thm)],[])).
% 1.43/1.65 tff(28,plain,
% 1.43/1.65 ((s(s(s(s(z)))) = z) <=> (z = s(s(s(s(z)))))),
% 1.43/1.65 inference(symmetry,[status(thm)],[27])).
% 1.43/1.65 tff(29,plain,
% 1.43/1.65 ((~(s(s(s(s(z)))) = z)) <=> (~(z = s(s(s(s(z))))))),
% 1.43/1.65 inference(monotonicity,[status(thm)],[28])).
% 1.43/1.65 tff(30,plain,
% 1.43/1.65 (^[X: $i] : refl((~(s(X) = z)) <=> (~(s(X) = z)))),
% 1.43/1.65 inference(bind,[status(th)],[])).
% 1.43/1.65 tff(31,plain,
% 1.43/1.65 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 1.43/1.65 inference(quant_intro,[status(thm)],[30])).
% 1.43/1.65 tff(32,plain,
% 1.43/1.65 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 1.43/1.65 inference(rewrite,[status(thm)],[])).
% 1.43/1.65 tff(33,axiom,(![X: $i] : (~(s(X) = z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','snz')).
% 1.43/1.65 tff(34,plain,
% 1.43/1.65 (![X: $i] : (~(s(X) = z))),
% 1.43/1.65 inference(modus_ponens,[status(thm)],[33, 32])).
% 1.43/1.66 tff(35,plain,(
% 1.43/1.66 ![X: $i] : (~(s(X) = z))),
% 1.43/1.66 inference(skolemize,[status(sab)],[34])).
% 1.43/1.66 tff(36,plain,
% 1.43/1.66 (![X: $i] : (~(s(X) = z))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[35, 31])).
% 1.43/1.66 tff(37,plain,
% 1.43/1.66 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(z)))) = z))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(38,plain,
% 1.43/1.66 (~(s(s(s(s(z)))) = z)),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[37, 36])).
% 1.43/1.66 tff(39,plain,
% 1.43/1.66 (~(z = s(s(s(s(z)))))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[38, 29])).
% 1.43/1.66 tff(40,plain,
% 1.43/1.66 (^[Y: $i, X: $i] : refl(((X = Y) | b(X, Y) | r(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 1.43/1.66 inference(bind,[status(th)],[])).
% 1.43/1.66 tff(41,plain,
% 1.43/1.66 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 1.43/1.66 inference(quant_intro,[status(thm)],[40])).
% 1.43/1.66 tff(42,plain,
% 1.43/1.66 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(43,plain,
% 1.43/1.66 (^[Y: $i, X: $i] : rewrite((((X = Y) | r(X, Y)) | b(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 1.43/1.66 inference(bind,[status(th)],[])).
% 1.43/1.66 tff(44,plain,
% 1.43/1.66 (![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 1.43/1.66 inference(quant_intro,[status(thm)],[43])).
% 1.43/1.66 tff(45,axiom,(![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rb')).
% 1.43/1.66 tff(46,plain,
% 1.43/1.66 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[45, 44])).
% 1.43/1.66 tff(47,plain,
% 1.43/1.66 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[46, 42])).
% 1.43/1.66 tff(48,plain,(
% 1.43/1.66 ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 1.43/1.66 inference(skolemize,[status(sab)],[47])).
% 1.43/1.66 tff(49,plain,
% 1.43/1.66 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[48, 41])).
% 1.43/1.66 tff(50,plain,
% 1.43/1.66 (((~![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))))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(51,plain,
% 1.43/1.66 ((~![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))))))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(52,plain,
% 1.43/1.66 ((~![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)))))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[51, 50])).
% 1.43/1.66 tff(53,plain,
% 1.43/1.66 ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[52, 49])).
% 1.43/1.66 tff(54,plain,
% 1.43/1.66 (b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[53, 39])).
% 1.43/1.66 tff(55,plain,
% 1.43/1.66 (b(z, s(s(s(s(z)))))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[54, 26])).
% 1.43/1.66 tff(56,assumption,(b(s(s(z)), z)), introduced(assumption)).
% 1.43/1.66 tff(57,assumption,(b(s(s(s(s(s(z))))), s(s(z)))), introduced(assumption)).
% 1.43/1.66 tff(58,assumption,(r(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 1.43/1.66 tff(59,assumption,(r(s(z), z)), introduced(assumption)).
% 1.43/1.66 tff(60,assumption,(b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.66 tff(61,assumption,(r(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.66 tff(62,assumption,(r(s(s(z)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.66 tff(63,assumption,(r(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 1.43/1.66 tff(64,assumption,(r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.66 tff(65,assumption,(r(s(s(z)), z)), introduced(assumption)).
% 1.43/1.66 tff(66,assumption,(b(z, s(s(z)))), introduced(assumption)).
% 1.43/1.66 tff(67,assumption,(r(s(s(s(s(s(z))))), s(z))), introduced(assumption)).
% 1.43/1.66 tff(68,assumption,(r(z, s(z))), introduced(assumption)).
% 1.43/1.66 tff(69,plain,
% 1.43/1.66 (((~![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(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(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(70,plain,
% 1.43/1.66 (((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), 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(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(71,plain,
% 1.43/1.66 (((~![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(z))) | (~r(s(s(s(s(s(z))))), 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(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z)))))),
% 1.43/1.66 inference(monotonicity,[status(thm)],[70])).
% 1.43/1.66 tff(72,plain,
% 1.43/1.66 (((~![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(z))) | (~r(s(s(s(s(s(z))))), 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(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 1.43/1.66 inference(transitivity,[status(thm)],[71, 69])).
% 1.43/1.66 tff(73,plain,
% 1.43/1.66 ((~![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(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(74,plain,
% 1.43/1.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z)))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[73, 72])).
% 1.43/1.66 tff(75,plain,
% 1.43/1.66 ($false),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[74, 17, 58, 67, 68, 59])).
% 1.43/1.66 tff(76,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.66 tff(77,plain,
% 1.43/1.66 (~r(z, s(z))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[76, 67, 58, 59])).
% 1.43/1.66 tff(78,plain,
% 1.43/1.66 ((z = s(z)) <=> (s(z) = z)),
% 1.43/1.66 inference(commutativity,[status(thm)],[])).
% 1.43/1.66 tff(79,plain,
% 1.43/1.66 ((s(z) = z) <=> (z = s(z))),
% 1.43/1.66 inference(symmetry,[status(thm)],[78])).
% 1.43/1.66 tff(80,plain,
% 1.43/1.66 ((~(s(z) = z)) <=> (~(z = s(z)))),
% 1.43/1.66 inference(monotonicity,[status(thm)],[79])).
% 1.43/1.66 tff(81,plain,
% 1.43/1.66 ((~![X: $i] : (~(s(X) = z))) | (~(s(z) = z))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(82,plain,
% 1.43/1.66 (~(s(z) = z)),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[81, 36])).
% 1.43/1.66 tff(83,plain,
% 1.43/1.66 (~(z = s(z))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[82, 80])).
% 1.43/1.66 tff(84,plain,
% 1.43/1.66 (((~![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)))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(85,plain,
% 1.43/1.66 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(z)) | b(z, s(z)) | r(z, s(z)))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(86,plain,
% 1.43/1.66 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(z)) | b(z, s(z)) | r(z, s(z))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[85, 84])).
% 1.43/1.66 tff(87,plain,
% 1.43/1.66 ((z = s(z)) | b(z, s(z)) | r(z, s(z))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[86, 49])).
% 1.43/1.66 tff(88,plain,
% 1.43/1.66 (b(z, s(z)) | r(z, s(z))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[87, 83])).
% 1.43/1.66 tff(89,plain,
% 1.43/1.66 (b(z, s(z))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[88, 77])).
% 1.43/1.66 tff(90,assumption,(r(z, s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.66 tff(91,assumption,(b(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.66 tff(92,assumption,(b(s(z), s(s(z)))), introduced(assumption)).
% 1.43/1.66 tff(93,plain,
% 1.43/1.66 (^[X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) <=> ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))))),
% 1.43/1.66 inference(bind,[status(th)],[])).
% 1.43/1.66 tff(94,plain,
% 1.43/1.66 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 1.43/1.66 inference(quant_intro,[status(thm)],[93])).
% 1.43/1.66 tff(95,plain,
% 1.43/1.66 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(96,plain,
% 1.43/1.66 (^[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(X0, X4))) <=> (((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X0, X4))))), rewrite((((~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X0, X4))) <=> ((~b(X0, 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(X0, X4))) <=> ((~b(X0, 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(X0, X4))) | (~b(X3, X4))) <=> (((~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))))), rewrite((((~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X0, 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(X0, X4))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))))),
% 1.43/1.66 inference(bind,[status(th)],[])).
% 1.43/1.66 tff(97,plain,
% 1.43/1.66 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X0, X4))) | (~b(X3, X4))) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 1.43/1.66 inference(quant_intro,[status(thm)],[96])).
% 1.43/1.66 tff(98,axiom,(![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~b(X0, X1)) | (~b(X0, X2))) | (~b(X1, X2))) | (~b(X2, X3))) | (~b(X0, X4))) | (~b(X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axb')).
% 1.43/1.66 tff(99,plain,
% 1.43/1.66 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[98, 97])).
% 1.43/1.66 tff(100,plain,
% 1.43/1.66 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[99, 95])).
% 1.43/1.66 tff(101,plain,(
% 1.43/1.66 ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 1.43/1.66 inference(skolemize,[status(sab)],[100])).
% 1.43/1.66 tff(102,plain,
% 1.43/1.66 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[101, 94])).
% 1.43/1.66 tff(103,plain,
% 1.43/1.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), 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(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(104,plain,
% 1.43/1.66 (((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(z, 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(z), s(s(s(s(s(z))))))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(105,plain,
% 1.43/1.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.43/1.66 inference(monotonicity,[status(thm)],[104])).
% 1.43/1.66 tff(106,plain,
% 1.43/1.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.66 inference(transitivity,[status(thm)],[105, 103])).
% 1.43/1.66 tff(107,plain,
% 1.43/1.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(108,plain,
% 1.43/1.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[107, 106])).
% 1.43/1.66 tff(109,plain,
% 1.43/1.66 ($false),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[108, 102, 92, 66, 56, 57, 91])).
% 1.43/1.66 tff(110,plain,((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.66 tff(111,plain,
% 1.43/1.66 (~b(z, s(s(z)))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[110, 92, 56, 57, 91])).
% 1.43/1.66 tff(112,plain,
% 1.43/1.66 ((z = s(s(z))) <=> (s(s(z)) = z)),
% 1.43/1.66 inference(commutativity,[status(thm)],[])).
% 1.43/1.66 tff(113,plain,
% 1.43/1.66 ((s(s(z)) = z) <=> (z = s(s(z)))),
% 1.43/1.66 inference(symmetry,[status(thm)],[112])).
% 1.43/1.66 tff(114,plain,
% 1.43/1.66 ((~(s(s(z)) = z)) <=> (~(z = s(s(z))))),
% 1.43/1.66 inference(monotonicity,[status(thm)],[113])).
% 1.43/1.66 tff(115,plain,
% 1.43/1.66 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(z)) = z))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(116,plain,
% 1.43/1.66 (~(s(s(z)) = z)),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[115, 36])).
% 1.43/1.66 tff(117,plain,
% 1.43/1.66 (~(z = s(s(z)))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[116, 114])).
% 1.43/1.66 tff(118,plain,
% 1.43/1.66 (((~![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))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(119,plain,
% 1.43/1.66 ((~![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))))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(120,plain,
% 1.43/1.66 ((~![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)))),
% 1.43/1.66 inference(modus_ponens,[status(thm)],[119, 118])).
% 1.43/1.66 tff(121,plain,
% 1.43/1.66 ((z = s(s(z))) | b(z, s(s(z))) | r(z, s(s(z)))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[120, 49])).
% 1.43/1.66 tff(122,plain,
% 1.43/1.66 (b(z, s(s(z))) | r(z, s(s(z)))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[121, 117])).
% 1.43/1.66 tff(123,plain,
% 1.43/1.66 (r(z, s(s(z)))),
% 1.43/1.66 inference(unit_resolution,[status(thm)],[122, 111])).
% 1.43/1.66 tff(124,assumption,(b(z, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.66 tff(125,assumption,(b(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.66 tff(126,plain,
% 1.43/1.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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), s(s(s(s(s(z))))))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(127,plain,
% 1.43/1.66 (((~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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(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(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))))))))),
% 1.43/1.66 inference(rewrite,[status(thm)],[])).
% 1.43/1.66 tff(128,plain,
% 1.43/1.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, 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(s(z))))), 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), s(s(s(s(s(z)))))))))),
% 1.43/1.66 inference(monotonicity,[status(thm)],[127])).
% 1.43/1.66 tff(129,plain,
% 1.43/1.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, 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(s(z))))), 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), s(s(s(s(s(z))))))))),
% 1.43/1.66 inference(transitivity,[status(thm)],[128, 126])).
% 1.43/1.66 tff(130,plain,
% 1.43/1.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.66 inference(quant_inst,[status(thm)],[])).
% 1.43/1.66 tff(131,plain,
% 1.43/1.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[130, 129])).
% 1.43/1.67 tff(132,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[131, 102, 92, 56, 57, 124, 91, 125])).
% 1.43/1.67 tff(133,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(134,plain,
% 1.43/1.67 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[133, 124, 56, 57, 92, 91])).
% 1.43/1.67 tff(135,assumption,(s(z) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.67 tff(136,plain,
% 1.43/1.67 (s(s(s(s(s(s(z)))))) = s(z)),
% 1.43/1.67 inference(symmetry,[status(thm)],[135])).
% 1.43/1.67 tff(137,plain,
% 1.43/1.67 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(138,plain,
% 1.43/1.67 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(139,plain,
% 1.43/1.67 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(140,axiom,(![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sinj')).
% 1.43/1.67 tff(141,plain,
% 1.43/1.67 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[140, 139])).
% 1.43/1.67 tff(142,plain,(
% 1.43/1.67 ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 1.43/1.67 inference(skolemize,[status(sab)],[141])).
% 1.43/1.67 tff(143,plain,
% 1.43/1.67 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[142, 138])).
% 1.43/1.67 tff(144,plain,
% 1.43/1.67 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[143, 137])).
% 1.43/1.67 tff(145,plain,
% 1.43/1.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(z)) = z)),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(146,plain,
% 1.43/1.67 (inj_0(s(z)) = z),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[145, 144])).
% 1.43/1.67 tff(147,assumption,(s(s(s(s(s(s(z)))))) = s(z)), introduced(assumption)).
% 1.43/1.67 tff(148,plain,
% 1.43/1.67 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(z))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[147])).
% 1.43/1.67 tff(149,plain,
% 1.43/1.67 ((~![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))))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(150,plain,
% 1.43/1.67 (inj_0(s(s(s(s(s(s(z))))))) = s(s(s(s(s(z)))))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[149, 144])).
% 1.43/1.67 tff(151,plain,
% 1.43/1.67 (s(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(symmetry,[status(thm)],[150])).
% 1.43/1.67 tff(152,plain,
% 1.43/1.67 (s(s(s(s(s(z))))) = z),
% 1.43/1.67 inference(transitivity,[status(thm)],[151, 148, 146])).
% 1.43/1.67 tff(153,plain,
% 1.43/1.67 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(z))))) = z))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(154,plain,
% 1.43/1.67 (~(s(s(s(s(s(z))))) = z)),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[153, 36])).
% 1.43/1.67 tff(155,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[154, 152])).
% 1.43/1.67 tff(156,plain,(~(s(s(s(s(s(s(z)))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(157,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[156, 136])).
% 1.43/1.67 tff(158,plain,(~(s(z) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(159,assumption,(~r(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.67 tff(160,assumption,(~b(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.67 tff(161,plain,
% 1.43/1.67 (((~![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))))))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(162,plain,
% 1.43/1.67 ((~![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))))))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(163,plain,
% 1.43/1.67 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[162, 161])).
% 1.43/1.67 tff(164,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[163, 49, 160, 159, 158])).
% 1.43/1.67 tff(165,plain,(b(s(z), s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(166,plain,
% 1.43/1.67 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[165, 134])).
% 1.43/1.67 tff(167,assumption,(r(s(z), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.67 tff(168,assumption,(b(s(s(z)), s(z))), introduced(assumption)).
% 1.43/1.67 tff(169,plain,
% 1.43/1.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(170,plain,
% 1.43/1.67 (((~b(s(z), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(171,plain,
% 1.43/1.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[170])).
% 1.43/1.67 tff(172,plain,
% 1.43/1.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.67 inference(transitivity,[status(thm)],[171, 169])).
% 1.43/1.67 tff(173,plain,
% 1.43/1.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(174,plain,
% 1.43/1.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[173, 172])).
% 1.43/1.67 tff(175,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[174, 102, 92, 168, 57, 91])).
% 1.43/1.67 tff(176,plain,((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(177,plain,
% 1.43/1.67 (~b(s(s(z)), s(z))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[176, 92, 57, 91])).
% 1.43/1.67 tff(178,plain,
% 1.43/1.67 ((s(s(z)) = s(z)) <=> (s(z) = s(s(z)))),
% 1.43/1.67 inference(commutativity,[status(thm)],[])).
% 1.43/1.67 tff(179,plain,
% 1.43/1.67 ((s(z) = s(s(z))) <=> (s(s(z)) = s(z))),
% 1.43/1.67 inference(symmetry,[status(thm)],[178])).
% 1.43/1.67 tff(180,plain,
% 1.43/1.67 ((~(s(z) = s(s(z)))) <=> (~(s(s(z)) = s(z)))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[179])).
% 1.43/1.67 tff(181,assumption,(s(z) = s(s(z))), introduced(assumption)).
% 1.43/1.67 tff(182,plain,
% 1.43/1.67 (inj_0(s(z)) = inj_0(s(s(z)))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[181])).
% 1.43/1.67 tff(183,plain,
% 1.43/1.67 (inj_0(s(s(z))) = inj_0(s(z))),
% 1.43/1.67 inference(symmetry,[status(thm)],[182])).
% 1.43/1.67 tff(184,plain,
% 1.43/1.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(z))) = s(z))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(185,plain,
% 1.43/1.67 (inj_0(s(s(z))) = s(z)),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[184, 144])).
% 1.43/1.67 tff(186,plain,
% 1.43/1.67 (s(z) = inj_0(s(s(z)))),
% 1.43/1.67 inference(symmetry,[status(thm)],[185])).
% 1.43/1.67 tff(187,plain,
% 1.43/1.67 (s(z) = z),
% 1.43/1.67 inference(transitivity,[status(thm)],[186, 183, 146])).
% 1.43/1.67 tff(188,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[82, 187])).
% 1.43/1.67 tff(189,plain,(~(s(z) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(190,plain,
% 1.43/1.67 (~(s(s(z)) = s(z))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[189, 180])).
% 1.43/1.67 tff(191,plain,
% 1.43/1.67 (((~![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)))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(192,plain,
% 1.43/1.67 ((~![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)))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(193,plain,
% 1.43/1.67 ((~![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))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[192, 191])).
% 1.43/1.67 tff(194,plain,
% 1.43/1.67 ((s(s(z)) = s(z)) | b(s(s(z)), s(z)) | r(s(s(z)), s(z))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[193, 49])).
% 1.43/1.67 tff(195,plain,
% 1.43/1.67 (b(s(s(z)), s(z)) | r(s(s(z)), s(z))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[194, 190])).
% 1.43/1.67 tff(196,plain,
% 1.43/1.67 (r(s(s(z)), s(z))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[195, 177])).
% 1.43/1.67 tff(197,assumption,(b(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.67 tff(198,plain,
% 1.43/1.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), 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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(199,plain,
% 1.43/1.67 (((~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(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(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(200,plain,
% 1.43/1.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[199])).
% 1.43/1.67 tff(201,plain,
% 1.43/1.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.67 inference(transitivity,[status(thm)],[200, 198])).
% 1.43/1.67 tff(202,plain,
% 1.43/1.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(203,plain,
% 1.43/1.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[202, 201])).
% 1.43/1.67 tff(204,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[203, 102, 92, 57, 197, 91])).
% 1.43/1.67 tff(205,plain,((~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(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(206,plain,
% 1.43/1.67 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[205, 92, 57, 91])).
% 1.43/1.67 tff(207,assumption,(~b(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.67 tff(208,assumption,(~r(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.67 tff(209,plain,
% 1.43/1.67 ((s(s(s(s(s(z))))) = s(s(z))) <=> (s(s(z)) = s(s(s(s(s(z))))))),
% 1.43/1.67 inference(commutativity,[status(thm)],[])).
% 1.43/1.67 tff(210,plain,
% 1.43/1.67 ((~(s(s(s(s(s(z))))) = s(s(z)))) <=> (~(s(s(z)) = s(s(s(s(s(z)))))))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[209])).
% 1.43/1.67 tff(211,plain,
% 1.43/1.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(212,plain,
% 1.43/1.67 (inj_0(s(s(s(s(s(z)))))) = s(s(s(s(z))))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[211, 144])).
% 1.43/1.67 tff(213,assumption,(s(s(s(s(s(z))))) = s(s(z))), introduced(assumption)).
% 1.43/1.67 tff(214,plain,
% 1.43/1.67 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(z)))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[213])).
% 1.43/1.67 tff(215,plain,
% 1.43/1.67 (inj_0(s(s(z))) = inj_0(s(s(s(s(s(z))))))),
% 1.43/1.67 inference(symmetry,[status(thm)],[214])).
% 1.43/1.67 tff(216,plain,
% 1.43/1.67 (s(z) = s(s(s(s(z))))),
% 1.43/1.67 inference(transitivity,[status(thm)],[186, 215, 212])).
% 1.43/1.67 tff(217,plain,
% 1.43/1.67 (inj_0(s(z)) = inj_0(s(s(s(s(z)))))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[216])).
% 1.43/1.67 tff(218,plain,
% 1.43/1.67 (inj_0(s(s(s(s(z))))) = inj_0(s(z))),
% 1.43/1.67 inference(symmetry,[status(thm)],[217])).
% 1.43/1.67 tff(219,plain,
% 1.43/1.67 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(z))))) = s(s(s(z))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(220,plain,
% 1.43/1.67 (inj_0(s(s(s(s(z))))) = s(s(s(z)))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[219, 144])).
% 1.43/1.67 tff(221,plain,
% 1.43/1.67 (s(s(s(z))) = inj_0(s(s(s(s(z)))))),
% 1.43/1.67 inference(symmetry,[status(thm)],[220])).
% 1.43/1.67 tff(222,plain,
% 1.43/1.67 (s(s(s(z))) = z),
% 1.43/1.67 inference(transitivity,[status(thm)],[221, 218, 146])).
% 1.43/1.67 tff(223,plain,
% 1.43/1.67 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(z))) = z))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(224,plain,
% 1.43/1.67 (~(s(s(s(z))) = z)),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[223, 36])).
% 1.43/1.67 tff(225,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[224, 222])).
% 1.43/1.67 tff(226,plain,(~(s(s(s(s(s(z))))) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.67 tff(227,plain,
% 1.43/1.67 (~(s(s(z)) = s(s(s(s(s(z))))))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[226, 210])).
% 1.43/1.67 tff(228,plain,
% 1.43/1.67 (((~![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)))))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(229,plain,
% 1.43/1.67 ((~![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)))))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(230,plain,
% 1.43/1.67 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = s(s(s(s(s(z)))))) | b(s(s(z)), s(s(s(s(s(z)))))) | r(s(s(z)), s(s(s(s(s(z))))))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[229, 228])).
% 1.43/1.67 tff(231,plain,
% 1.43/1.67 ($false),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[230, 49, 227, 208, 207])).
% 1.43/1.67 tff(232,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,[]))).
% 1.43/1.67 tff(233,plain,
% 1.43/1.67 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[232, 206])).
% 1.43/1.67 tff(234,assumption,(r(s(s(z)), s(z))), introduced(assumption)).
% 1.43/1.67 tff(235,assumption,(r(s(s(z)), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.67 tff(236,plain,
% 1.43/1.67 (((~![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(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(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(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(z)))) | (~r(z, s(s(z)))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(237,plain,
% 1.43/1.67 (((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(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(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(z)))) | (~r(z, s(s(z)))))),
% 1.43/1.67 inference(rewrite,[status(thm)],[])).
% 1.43/1.67 tff(238,plain,
% 1.43/1.67 (((~![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(z)))) | (~r(s(s(s(s(s(s(z)))))), s(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(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(z)))) | (~r(z, s(s(z))))))),
% 1.43/1.67 inference(monotonicity,[status(thm)],[237])).
% 1.43/1.67 tff(239,plain,
% 1.43/1.67 (((~![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(z)))) | (~r(s(s(s(s(s(s(z)))))), s(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(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(z)))) | (~r(z, s(s(z)))))),
% 1.43/1.67 inference(transitivity,[status(thm)],[238, 236])).
% 1.43/1.67 tff(240,plain,
% 1.43/1.67 ((~![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(z)))) | (~r(s(s(s(s(s(s(z)))))), s(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))))))))),
% 1.43/1.67 inference(quant_inst,[status(thm)],[])).
% 1.43/1.67 tff(241,plain,
% 1.43/1.67 ((~![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(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(z)))) | (~r(z, s(s(z))))),
% 1.43/1.67 inference(modus_ponens,[status(thm)],[240, 239])).
% 1.43/1.67 tff(242,plain,
% 1.43/1.67 ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z))),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[241, 17, 58, 5, 2])).
% 1.43/1.67 tff(243,plain,
% 1.43/1.67 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.43/1.67 inference(unit_resolution,[status(thm)],[242, 64])).
% 1.43/1.68 tff(244,assumption,(~b(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 1.43/1.68 tff(245,assumption,(~r(s(s(s(s(s(s(z)))))), z)), introduced(assumption)).
% 1.43/1.68 tff(246,plain,
% 1.43/1.68 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(s(z)))))) = z))),
% 1.43/1.68 inference(quant_inst,[status(thm)],[])).
% 1.43/1.68 tff(247,plain,
% 1.43/1.68 (~(s(s(s(s(s(s(z)))))) = z)),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[246, 36])).
% 1.43/1.68 tff(248,plain,
% 1.43/1.68 (((~![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))),
% 1.43/1.68 inference(rewrite,[status(thm)],[])).
% 1.43/1.68 tff(249,plain,
% 1.43/1.68 ((~![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))),
% 1.43/1.68 inference(quant_inst,[status(thm)],[])).
% 1.43/1.68 tff(250,plain,
% 1.43/1.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = z) | b(s(s(s(s(s(s(z)))))), z) | r(s(s(s(s(s(s(z)))))), z)),
% 1.43/1.68 inference(modus_ponens,[status(thm)],[249, 248])).
% 1.43/1.68 tff(251,plain,
% 1.43/1.68 ($false),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[250, 49, 247, 245, 244])).
% 1.43/1.68 tff(252,plain,(b(s(s(s(s(s(s(z)))))), z) | r(s(s(s(s(s(s(z)))))), z)), inference(lemma,lemma(discharge,[]))).
% 1.43/1.68 tff(253,plain,
% 1.43/1.68 (b(s(s(s(s(s(s(z)))))), z)),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[252, 243])).
% 1.43/1.68 tff(254,assumption,(b(s(s(z)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.43/1.68 tff(255,plain,
% 1.43/1.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.43/1.68 inference(rewrite,[status(thm)],[])).
% 1.43/1.68 tff(256,plain,
% 1.43/1.68 (((~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(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)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.43/1.68 inference(rewrite,[status(thm)],[])).
% 1.43/1.68 tff(257,plain,
% 1.43/1.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.43/1.68 inference(monotonicity,[status(thm)],[256])).
% 1.43/1.68 tff(258,plain,
% 1.43/1.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.43/1.68 inference(transitivity,[status(thm)],[257, 255])).
% 1.43/1.68 tff(259,plain,
% 1.43/1.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.43/1.68 inference(quant_inst,[status(thm)],[])).
% 1.43/1.68 tff(260,plain,
% 1.43/1.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.43/1.68 inference(modus_ponens,[status(thm)],[259, 258])).
% 1.43/1.68 tff(261,plain,
% 1.43/1.68 ($false),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[260, 102, 56, 4, 124, 254])).
% 1.43/1.68 tff(262,plain,((~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)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.68 tff(263,plain,
% 1.43/1.68 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[262, 253, 124, 56])).
% 1.43/1.68 tff(264,plain,
% 1.43/1.68 ((s(s(s(s(s(s(z)))))) = s(s(z))) <=> (s(s(z)) = s(s(s(s(s(s(z)))))))),
% 1.43/1.68 inference(commutativity,[status(thm)],[])).
% 1.43/1.68 tff(265,plain,
% 1.43/1.68 ((~(s(s(s(s(s(s(z)))))) = s(s(z)))) <=> (~(s(s(z)) = s(s(s(s(s(s(z))))))))),
% 1.43/1.68 inference(monotonicity,[status(thm)],[264])).
% 1.43/1.68 tff(266,assumption,(s(s(s(s(s(s(z)))))) = s(s(z))), introduced(assumption)).
% 1.43/1.68 tff(267,plain,
% 1.43/1.68 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(z)))),
% 1.43/1.68 inference(monotonicity,[status(thm)],[266])).
% 1.43/1.68 tff(268,plain,
% 1.43/1.68 (s(s(s(s(s(z))))) = s(z)),
% 1.43/1.68 inference(transitivity,[status(thm)],[151, 267, 185])).
% 1.43/1.68 tff(269,plain,
% 1.43/1.68 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(z))),
% 1.43/1.68 inference(monotonicity,[status(thm)],[268])).
% 1.43/1.68 tff(270,plain,
% 1.43/1.68 (s(s(s(s(z)))) = inj_0(s(s(s(s(s(z))))))),
% 1.43/1.68 inference(symmetry,[status(thm)],[212])).
% 1.43/1.68 tff(271,plain,
% 1.43/1.68 (s(s(s(s(z)))) = z),
% 1.43/1.68 inference(transitivity,[status(thm)],[270, 269, 146])).
% 1.43/1.68 tff(272,plain,
% 1.43/1.68 ($false),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[38, 271])).
% 1.43/1.68 tff(273,plain,(~(s(s(s(s(s(s(z)))))) = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.68 tff(274,plain,
% 1.43/1.68 (~(s(s(z)) = s(s(s(s(s(s(z)))))))),
% 1.43/1.68 inference(modus_ponens,[status(thm)],[273, 265])).
% 1.43/1.68 tff(275,plain,
% 1.43/1.68 (((~![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))))))))),
% 1.43/1.68 inference(rewrite,[status(thm)],[])).
% 1.43/1.68 tff(276,plain,
% 1.43/1.68 ((~![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))))))))),
% 1.43/1.68 inference(quant_inst,[status(thm)],[])).
% 1.43/1.68 tff(277,plain,
% 1.43/1.68 ((~![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)))))))),
% 1.43/1.68 inference(modus_ponens,[status(thm)],[276, 275])).
% 1.43/1.68 tff(278,plain,
% 1.43/1.68 ((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)))))))),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[277, 49])).
% 1.43/1.68 tff(279,plain,
% 1.43/1.68 (b(s(s(z)), s(s(s(s(s(s(z))))))) | r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[278, 274])).
% 1.43/1.68 tff(280,plain,
% 1.43/1.68 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[279, 263])).
% 1.43/1.68 tff(281,plain,
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% 1.43/1.68 inference(rewrite,[status(thm)],[])).
% 1.43/1.68 tff(282,plain,
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% 1.43/1.68 inference(rewrite,[status(thm)],[])).
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% 1.43/1.68 inference(monotonicity,[status(thm)],[282])).
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% 1.43/1.68 inference(modus_ponens,[status(thm)],[285, 284])).
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% 1.43/1.68 inference(unit_resolution,[status(thm)],[286, 17, 234, 67, 235, 62, 167])).
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% 1.43/1.68 tff(289,plain,
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% 1.43/1.68 tff(290,plain,
% 1.43/1.68 ((s(z) = s(s(s(s(s(z)))))) <=> (s(s(s(s(s(z))))) = s(z))),
% 1.43/1.68 inference(commutativity,[status(thm)],[])).
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% 1.43/1.68 ((~(s(z) = s(s(s(s(s(z))))))) <=> (~(s(s(s(s(s(z))))) = s(z)))),
% 1.43/1.68 inference(monotonicity,[status(thm)],[290])).
% 1.43/1.68 tff(292,assumption,(s(z) = s(s(s(s(s(z)))))), introduced(assumption)).
% 1.43/1.68 tff(293,plain,
% 1.43/1.68 (inj_0(s(z)) = inj_0(s(s(s(s(s(z))))))),
% 1.43/1.68 inference(monotonicity,[status(thm)],[292])).
% 1.43/1.68 tff(294,plain,
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% 1.43/1.68 tff(295,plain,
% 1.43/1.68 (s(s(s(s(z)))) = z),
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% 1.43/1.68 inference(unit_resolution,[status(thm)],[38, 295])).
% 1.43/1.68 tff(297,plain,(~(s(z) = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.68 tff(298,plain,
% 1.43/1.68 (~(s(s(s(s(s(z))))) = s(z))),
% 1.43/1.68 inference(modus_ponens,[status(thm)],[297, 291])).
% 1.43/1.68 tff(299,plain,
% 1.43/1.68 (((~![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)))),
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% 1.43/1.68 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(z))))) = s(z)) | b(s(s(s(s(s(z))))), s(z)) | r(s(s(s(s(s(z))))), s(z)))),
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% 1.43/1.68 inference(modus_ponens,[status(thm)],[300, 299])).
% 1.43/1.68 tff(302,plain,
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% 1.43/1.68 inference(unit_resolution,[status(thm)],[301, 49])).
% 1.43/1.68 tff(303,plain,
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% 1.43/1.68 inference(unit_resolution,[status(thm)],[302, 298])).
% 1.43/1.68 tff(304,plain,
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% 1.43/1.68 inference(unit_resolution,[status(thm)],[303, 289])).
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% 1.43/1.68 inference(modus_ponens,[status(thm)],[310, 309])).
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% 1.43/1.68 inference(monotonicity,[status(thm)],[315])).
% 1.43/1.68 tff(317,assumption,(s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))), introduced(assumption)).
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% 1.43/1.68 inference(monotonicity,[status(thm)],[332])).
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% 1.43/1.68 tff(335,plain,
% 1.43/1.68 ($false),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[334, 331])).
% 1.43/1.68 tff(336,plain,(~(s(s(s(s(s(s(z)))))) = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.68 tff(337,plain,
% 1.43/1.68 (~(s(s(s(s(s(z))))) = s(s(s(s(s(s(z)))))))),
% 1.43/1.68 inference(modus_ponens,[status(thm)],[336, 316])).
% 1.43/1.68 tff(338,plain,
% 1.43/1.68 (((~![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))))))))),
% 1.43/1.68 inference(rewrite,[status(thm)],[])).
% 1.43/1.68 tff(339,plain,
% 1.43/1.68 ((~![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))))))))),
% 1.43/1.68 inference(quant_inst,[status(thm)],[])).
% 1.43/1.68 tff(340,plain,
% 1.43/1.68 ((~![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)))))))),
% 1.43/1.68 inference(modus_ponens,[status(thm)],[339, 338])).
% 1.43/1.68 tff(341,plain,
% 1.43/1.68 (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)))))))),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[340, 49, 337])).
% 1.43/1.68 tff(342,plain,
% 1.43/1.68 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.43/1.68 inference(unit_resolution,[status(thm)],[341, 314])).
% 1.43/1.68 tff(343,assumption,(b(s(s(s(s(s(z))))), s(z))), introduced(assumption)).
% 1.43/1.69 tff(344,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(345,plain,
% 1.43/1.69 (((~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(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(z)))) | (~b(s(s(s(s(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(346,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), 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(z, s(s(s(s(s(s(z))))))))))),
% 1.43/1.69 inference(monotonicity,[status(thm)],[345])).
% 1.43/1.69 tff(347,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.43/1.69 inference(transitivity,[status(thm)],[346, 344])).
% 1.43/1.69 tff(348,plain,
% 1.43/1.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 1.43/1.69 inference(quant_inst,[status(thm)],[])).
% 1.43/1.69 tff(349,plain,
% 1.43/1.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.43/1.69 inference(modus_ponens,[status(thm)],[348, 347])).
% 1.43/1.69 tff(350,plain,
% 1.43/1.69 ($false),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[349, 102, 92, 56, 343, 57, 124, 60])).
% 1.43/1.69 tff(351,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.69 tff(352,plain,
% 1.43/1.69 ($false),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[351, 342, 304, 56, 124, 57, 92])).
% 1.43/1.69 tff(353,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.69 tff(354,plain,
% 1.43/1.69 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[353, 167, 124, 57, 92, 233, 56, 196, 58, 5, 123])).
% 1.43/1.69 tff(355,assumption,(~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.69 tff(356,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.69 tff(357,plain,
% 1.43/1.69 (((~![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)))))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(358,plain,
% 1.43/1.69 ((~![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)))))))),
% 1.43/1.69 inference(quant_inst,[status(thm)],[])).
% 1.43/1.69 tff(359,plain,
% 1.43/1.69 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))) | b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))) | r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.43/1.69 inference(modus_ponens,[status(thm)],[358, 357])).
% 1.43/1.69 tff(360,plain,
% 1.43/1.69 ($false),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[359, 49, 336, 356, 355])).
% 1.43/1.69 tff(361,plain,(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))))))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.69 tff(362,plain,
% 1.43/1.69 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[361, 354])).
% 1.43/1.69 tff(363,assumption,(b(s(z), z)), introduced(assumption)).
% 1.43/1.69 tff(364,assumption,(b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.43/1.69 tff(365,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(366,plain,
% 1.43/1.69 (((~b(s(s(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(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(367,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.43/1.69 inference(monotonicity,[status(thm)],[366])).
% 1.43/1.69 tff(368,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.43/1.69 inference(transitivity,[status(thm)],[367, 365])).
% 1.43/1.69 tff(369,plain,
% 1.43/1.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 1.43/1.69 inference(quant_inst,[status(thm)],[])).
% 1.43/1.69 tff(370,plain,
% 1.43/1.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.43/1.69 inference(modus_ponens,[status(thm)],[369, 368])).
% 1.43/1.69 tff(371,plain,
% 1.43/1.69 ($false),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[370, 102, 92, 56, 364, 124, 91, 363])).
% 1.43/1.69 tff(372,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.43/1.69 tff(373,plain,
% 1.43/1.69 (~b(s(z), z)),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[372, 362, 56, 124, 91, 92])).
% 1.43/1.69 tff(374,assumption,(~b(s(z), z)), introduced(assumption)).
% 1.43/1.69 tff(375,assumption,(~r(s(z), z)), introduced(assumption)).
% 1.43/1.69 tff(376,plain,
% 1.43/1.69 (((~![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))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(377,plain,
% 1.43/1.69 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = z) | b(s(z), z) | r(s(z), z))),
% 1.43/1.69 inference(quant_inst,[status(thm)],[])).
% 1.43/1.69 tff(378,plain,
% 1.43/1.69 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = z) | b(s(z), z) | r(s(z), z)),
% 1.43/1.69 inference(modus_ponens,[status(thm)],[377, 376])).
% 1.43/1.69 tff(379,plain,
% 1.43/1.69 ($false),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[378, 49, 82, 375, 374])).
% 1.43/1.69 tff(380,plain,(b(s(z), z) | r(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 1.43/1.69 tff(381,plain,
% 1.43/1.69 (r(s(z), z)),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[380, 373])).
% 1.43/1.69 tff(382,assumption,(b(z, s(z))), introduced(assumption)).
% 1.43/1.69 tff(383,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(384,plain,
% 1.43/1.69 (((~b(s(z), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z))))) <=> ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(385,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))))),
% 1.43/1.69 inference(monotonicity,[status(thm)],[384])).
% 1.43/1.69 tff(386,plain,
% 1.43/1.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 1.43/1.69 inference(transitivity,[status(thm)],[385, 383])).
% 1.43/1.69 tff(387,plain,
% 1.43/1.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 1.43/1.69 inference(quant_inst,[status(thm)],[])).
% 1.43/1.69 tff(388,plain,
% 1.43/1.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))),
% 1.43/1.69 inference(modus_ponens,[status(thm)],[387, 386])).
% 1.43/1.69 tff(389,plain,
% 1.43/1.69 (~b(s(z), z)),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[388, 102, 92, 56, 382])).
% 1.43/1.69 tff(390,plain,
% 1.43/1.69 (r(s(z), z)),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[380, 389])).
% 1.43/1.69 tff(391,plain,
% 1.43/1.69 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[262, 254, 124, 56])).
% 1.43/1.69 tff(392,plain,
% 1.43/1.69 (r(s(s(s(s(s(s(z)))))), z)),
% 1.43/1.69 inference(unit_resolution,[status(thm)],[252, 391])).
% 1.43/1.69 tff(393,assumption,(r(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 1.43/1.69 tff(394,plain,
% 1.43/1.69 (((~![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), 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)))))), 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(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)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(395,plain,
% 1.43/1.69 (((~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(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)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.43/1.69 inference(rewrite,[status(thm)],[])).
% 1.43/1.69 tff(396,plain,
% 1.43/1.69 (((~![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(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)))))), s(s(z)))) | (~r(z, s(s(z))))))),
% 1.43/1.69 inference(monotonicity,[status(thm)],[395])).
% 1.43/1.69 tff(397,plain,
% 1.43/1.69 (((~![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(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)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.43/1.69 inference(transitivity,[status(thm)],[396, 394])).
% 1.43/1.69 tff(398,plain,
% 1.43/1.69 ((~![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))))),
% 1.43/1.69 inference(quant_inst,[status(thm)],[])).
% 1.43/1.69 tff(399,plain,
% 1.43/1.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))),
% 1.43/1.69 inference(modus_ponens,[status(thm)],[398, 397])).
% 1.53/1.70 tff(400,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[399, 17, 5, 393, 59, 63, 2])).
% 1.53/1.70 tff(401,plain,((~r(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(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.70 tff(402,plain,
% 1.53/1.70 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[401, 392, 5, 390, 2])).
% 1.53/1.70 tff(403,assumption,(~r(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 1.53/1.70 tff(404,assumption,(~b(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 1.53/1.70 tff(405,plain,
% 1.53/1.70 (((~![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)))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(406,plain,
% 1.53/1.70 ((~![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)))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(407,plain,
% 1.53/1.70 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = s(z)) | b(s(s(s(s(s(s(z)))))), s(z)) | r(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[406, 405])).
% 1.53/1.70 tff(408,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[407, 49, 404, 403, 156])).
% 1.53/1.70 tff(409,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,[]))).
% 1.53/1.70 tff(410,plain,
% 1.53/1.70 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[409, 402])).
% 1.53/1.70 tff(411,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, 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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, 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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(412,plain,
% 1.53/1.70 (((~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)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(z, 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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(413,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, 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(z))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[412])).
% 1.53/1.70 tff(414,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, 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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.70 inference(transitivity,[status(thm)],[413, 411])).
% 1.53/1.70 tff(415,plain,
% 1.53/1.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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)))))))))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(416,plain,
% 1.53/1.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[415, 414])).
% 1.53/1.70 tff(417,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[416, 102, 92, 410, 124, 254, 382])).
% 1.53/1.70 tff(418,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.70 tff(419,plain,
% 1.53/1.70 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[418, 382, 124, 92, 5, 123, 56])).
% 1.53/1.70 tff(420,plain,
% 1.53/1.70 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[279, 419])).
% 1.53/1.70 tff(421,plain,
% 1.53/1.70 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[242, 63])).
% 1.53/1.70 tff(422,plain,
% 1.53/1.70 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[361, 421])).
% 1.53/1.70 tff(423,plain,
% 1.53/1.70 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[401, 63, 5, 59, 2])).
% 1.53/1.70 tff(424,plain,
% 1.53/1.70 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[409, 423])).
% 1.53/1.70 tff(425,assumption,(b(s(s(s(s(s(s(z)))))), s(z))), introduced(assumption)).
% 1.53/1.70 tff(426,plain,
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% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(427,plain,
% 1.53/1.70 (((~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(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)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(428,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[427])).
% 1.53/1.70 tff(429,plain,
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% 1.53/1.70 inference(transitivity,[status(thm)],[428, 426])).
% 1.53/1.70 tff(430,plain,
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% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(431,plain,
% 1.53/1.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[430, 429])).
% 1.53/1.70 tff(432,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[431, 102, 425, 124, 382, 125])).
% 1.53/1.70 tff(433,plain,((~b(s(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(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.70 tff(434,plain,
% 1.53/1.70 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[433, 424, 124, 382])).
% 1.53/1.70 tff(435,plain,
% 1.53/1.70 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[165, 434])).
% 1.53/1.70 tff(436,plain,
% 1.53/1.70 (~r(s(s(s(s(s(z))))), s(z))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[288, 435, 235, 62, 234])).
% 1.53/1.70 tff(437,plain,
% 1.53/1.70 (b(s(s(s(s(s(z))))), s(z))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[303, 436])).
% 1.53/1.70 tff(438,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(439,plain,
% 1.53/1.70 (((~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(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(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(z), s(s(s(s(s(z))))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(440,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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)))))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[439])).
% 1.53/1.70 tff(441,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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))))))))),
% 1.53/1.70 inference(transitivity,[status(thm)],[440, 438])).
% 1.53/1.70 tff(442,plain,
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% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(443,plain,
% 1.53/1.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[442, 441])).
% 1.53/1.70 tff(444,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[443, 102, 424, 437, 422, 91])).
% 1.53/1.70 tff(445,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(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(z)), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(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(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.70 tff(446,plain,
% 1.53/1.70 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[445, 420, 233, 91, 196, 124, 382, 58, 5, 123, 390])).
% 1.53/1.70 tff(447,plain,
% 1.53/1.70 (b(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[252, 446])).
% 1.53/1.70 tff(448,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, 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)))))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(449,plain,
% 1.53/1.70 (((~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(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)))))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(450,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[449])).
% 1.53/1.70 tff(451,plain,
% 1.53/1.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))))))),
% 1.53/1.70 inference(transitivity,[status(thm)],[450, 448])).
% 1.53/1.70 tff(452,plain,
% 1.53/1.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(453,plain,
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% 1.53/1.71 inference(modus_ponens,[status(thm)],[452, 451])).
% 1.53/1.71 tff(454,plain,
% 1.53/1.71 ($false),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[453, 102, 4, 124, 382, 125])).
% 1.53/1.71 tff(455,plain,((~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(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.71 tff(456,plain,
% 1.53/1.71 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[455, 447, 124, 382])).
% 1.53/1.71 tff(457,plain,
% 1.53/1.71 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[165, 456])).
% 1.53/1.71 tff(458,plain,
% 1.53/1.71 (~r(s(s(s(s(s(z))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[288, 457, 233, 420, 196])).
% 1.53/1.71 tff(459,plain,
% 1.53/1.71 (b(s(s(s(s(s(z))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[303, 458])).
% 1.53/1.71 tff(460,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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)))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(461,plain,
% 1.53/1.71 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), 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(z, s(z))) | (~b(s(s(z)), 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)))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(462,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[461])).
% 1.53/1.71 tff(463,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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)))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[462, 460])).
% 1.53/1.71 tff(464,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(465,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[464, 463])).
% 1.53/1.71 tff(466,plain,
% 1.53/1.71 ($false),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[465, 102, 92, 56, 459, 57, 382])).
% 1.53/1.71 tff(467,plain,((~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(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(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.71 tff(468,plain,
% 1.53/1.71 (~b(z, s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[467, 5, 56, 57, 124, 91, 58, 92])).
% 1.53/1.71 tff(469,plain,
% 1.53/1.71 (r(z, s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[88, 468])).
% 1.53/1.71 tff(470,plain,
% 1.53/1.71 (~r(s(s(s(s(s(z))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[76, 381, 58, 469])).
% 1.53/1.71 tff(471,plain,
% 1.53/1.71 (b(s(s(s(s(s(z))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[303, 470])).
% 1.53/1.71 tff(472,plain,
% 1.53/1.71 (((~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(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(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(z), s(s(s(s(s(z))))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(473,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[472])).
% 1.53/1.71 tff(474,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[473, 438])).
% 1.53/1.71 tff(475,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(476,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[475, 474])).
% 1.53/1.71 tff(477,plain,
% 1.53/1.71 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[476, 102, 471, 362, 91])).
% 1.53/1.71 tff(478,plain,
% 1.53/1.71 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[409, 477])).
% 1.53/1.71 tff(479,plain,
% 1.53/1.71 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[401, 478, 5, 381, 123])).
% 1.53/1.71 tff(480,plain,
% 1.53/1.71 (b(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[252, 479])).
% 1.53/1.71 tff(481,plain,
% 1.53/1.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[262, 480, 124, 56])).
% 1.53/1.71 tff(482,plain,
% 1.53/1.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[279, 481])).
% 1.53/1.71 tff(483,plain,
% 1.53/1.71 (((~![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(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(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $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(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(s(s(z)))))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(484,plain,
% 1.53/1.71 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), 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(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(s(s(s(s(s(z)))))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(485,plain,
% 1.53/1.71 (((~![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(z))) | (~r(s(s(z)), 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(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(s(s(s(s(s(z))))))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[484])).
% 1.53/1.71 tff(486,plain,
% 1.53/1.71 (((~![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(z))) | (~r(s(s(z)), 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(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(s(s(s(s(s(z)))))))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[485, 483])).
% 1.53/1.71 tff(487,plain,
% 1.53/1.71 ((~![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(z))) | (~r(s(s(z)), 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))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(488,plain,
% 1.53/1.71 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[487, 486])).
% 1.53/1.71 tff(489,plain,
% 1.53/1.71 ($false),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[488, 17, 196, 478, 482, 167])).
% 1.53/1.71 tff(490,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.71 tff(491,plain,
% 1.53/1.71 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[490, 166, 56, 124, 91, 58, 92, 57])).
% 1.53/1.71 tff(492,plain,
% 1.53/1.71 (((~![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))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(493,plain,
% 1.53/1.71 ((~![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))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(494,plain,
% 1.53/1.71 ((~![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)))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[493, 492])).
% 1.53/1.71 tff(495,plain,
% 1.53/1.71 ((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)))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[494, 49])).
% 1.53/1.71 tff(496,plain,
% 1.53/1.71 (b(s(s(s(s(s(s(z)))))), s(s(z))) | r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[495, 273])).
% 1.53/1.71 tff(497,plain,
% 1.53/1.71 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[496, 491])).
% 1.53/1.71 tff(498,assumption,(b(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 1.53/1.71 tff(499,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z))))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(500,plain,
% 1.53/1.71 (((~b(s(s(s(s(s(s(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(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(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(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(z))))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(501,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(z), 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(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z)))))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[500])).
% 1.53/1.71 tff(502,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(z), 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(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z))))))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[501, 499])).
% 1.53/1.71 tff(503,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(504,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[503, 502])).
% 1.53/1.71 tff(505,plain,
% 1.53/1.71 ($false),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[504, 102, 92, 498, 57, 254, 91])).
% 1.53/1.71 tff(506,plain,((~b(s(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.71 tff(507,plain,
% 1.53/1.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[506, 497, 92, 57, 91])).
% 1.53/1.71 tff(508,plain,
% 1.53/1.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[279, 507])).
% 1.53/1.71 tff(509,plain,
% 1.53/1.71 (~r(s(s(s(s(s(z))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[288, 508, 233, 166, 196])).
% 1.53/1.71 tff(510,plain,
% 1.53/1.71 (b(s(s(s(s(s(z))))), s(z))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[303, 509])).
% 1.53/1.71 tff(511,plain,
% 1.53/1.71 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[351, 510, 56, 124, 57, 92])).
% 1.53/1.71 tff(512,plain,
% 1.53/1.71 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[341, 511])).
% 1.53/1.71 tff(513,plain,
% 1.53/1.71 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[313, 512, 508, 233])).
% 1.53/1.71 tff(514,plain,
% 1.53/1.71 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[361, 513])).
% 1.53/1.71 tff(515,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(516,plain,
% 1.53/1.71 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(z), 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(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))))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(517,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(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(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[516])).
% 1.53/1.71 tff(518,plain,
% 1.53/1.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(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(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[517, 515])).
% 1.53/1.71 tff(519,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(520,plain,
% 1.53/1.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[519, 518])).
% 1.53/1.72 tff(521,plain,
% 1.53/1.72 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[520, 102, 92, 497, 510, 514, 91])).
% 1.53/1.72 tff(522,plain,
% 1.53/1.72 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[409, 521])).
% 1.53/1.72 tff(523,plain,
% 1.53/1.72 (((~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(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(s(s(s(s(s(z)))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(524,plain,
% 1.53/1.72 (((~![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(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(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(s(s(s(s(s(z))))))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[523])).
% 1.53/1.72 tff(525,plain,
% 1.53/1.72 (((~![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(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(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(s(s(s(s(s(z)))))))))),
% 1.53/1.72 inference(transitivity,[status(thm)],[524, 483])).
% 1.53/1.72 tff(526,plain,
% 1.53/1.72 ((~![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(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)))))))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(527,plain,
% 1.53/1.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[526, 525])).
% 1.53/1.72 tff(528,plain,
% 1.53/1.72 ($false),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[527, 17, 196, 522, 508, 166])).
% 1.53/1.72 tff(529,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.72 tff(530,plain,
% 1.53/1.72 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[529, 92, 91, 56, 57, 58])).
% 1.53/1.72 tff(531,assumption,(z = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 1.53/1.72 tff(532,plain,
% 1.53/1.72 (s(s(s(s(s(s(z)))))) = z),
% 1.53/1.72 inference(symmetry,[status(thm)],[531])).
% 1.53/1.72 tff(533,plain,
% 1.53/1.72 ($false),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[247, 532])).
% 1.53/1.72 tff(534,plain,(~(z = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.72 tff(535,plain,
% 1.53/1.72 (((~![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))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(536,plain,
% 1.53/1.72 ((~![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))))))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(537,plain,
% 1.53/1.72 ((~![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)))))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[536, 535])).
% 1.53/1.72 tff(538,plain,
% 1.53/1.72 (b(z, s(s(s(s(s(s(z))))))) | r(z, s(s(s(s(s(s(z)))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[537, 49, 534])).
% 1.53/1.72 tff(539,plain,
% 1.53/1.72 (r(z, s(s(s(s(s(s(z)))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[538, 530])).
% 1.53/1.72 tff(540,assumption,(b(z, s(s(s(s(s(z))))))), introduced(assumption)).
% 1.53/1.72 tff(541,plain,
% 1.53/1.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(542,plain,
% 1.53/1.72 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(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(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(543,plain,
% 1.53/1.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[542])).
% 1.53/1.72 tff(544,plain,
% 1.53/1.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.72 inference(transitivity,[status(thm)],[543, 541])).
% 1.53/1.72 tff(545,plain,
% 1.53/1.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(546,plain,
% 1.53/1.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[545, 544])).
% 1.53/1.72 tff(547,plain,
% 1.53/1.72 ($false),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[546, 102, 92, 540, 56, 57, 91])).
% 1.53/1.72 tff(548,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.72 tff(549,plain,
% 1.53/1.72 (~b(z, s(s(s(s(s(z))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[548, 92, 56, 57, 91])).
% 1.53/1.72 tff(550,assumption,(z = s(s(s(s(s(z)))))), introduced(assumption)).
% 1.53/1.72 tff(551,plain,
% 1.53/1.72 (s(s(s(s(s(z))))) = z),
% 1.53/1.72 inference(symmetry,[status(thm)],[550])).
% 1.53/1.72 tff(552,plain,
% 1.53/1.72 ($false),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[154, 551])).
% 1.53/1.72 tff(553,plain,(~(z = s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.72 tff(554,plain,
% 1.53/1.72 (((~![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)))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(555,plain,
% 1.53/1.72 ((~![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)))))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(556,plain,
% 1.53/1.72 ((~![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))))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[555, 554])).
% 1.53/1.72 tff(557,plain,
% 1.53/1.72 (b(z, s(s(s(s(s(z)))))) | r(z, s(s(s(s(s(z))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[556, 49, 553])).
% 1.53/1.72 tff(558,plain,
% 1.53/1.72 (r(z, s(s(s(s(s(z))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[557, 549])).
% 1.53/1.72 tff(559,plain,
% 1.53/1.72 (((~![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(s(z)))))))) | (~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)))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(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)))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(560,plain,
% 1.53/1.72 (((~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(s(s(s(s(z)))))))) | (~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)))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(561,plain,
% 1.53/1.72 (((~![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(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(s(s(s(s(z)))))))) | (~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))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[560])).
% 1.53/1.72 tff(562,plain,
% 1.53/1.72 (((~![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(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(s(s(s(s(z)))))))) | (~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)))))),
% 1.53/1.72 inference(transitivity,[status(thm)],[561, 559])).
% 1.53/1.72 tff(563,plain,
% 1.53/1.72 ((~![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(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)))))))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(564,plain,
% 1.53/1.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[563, 562])).
% 1.53/1.72 tff(565,plain,
% 1.53/1.72 ($false),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[564, 17, 5, 235, 2, 1, 90])).
% 1.53/1.72 tff(566,plain,((~r(s(s(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(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.72 tff(567,plain,
% 1.53/1.72 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[566, 539, 123, 233, 558])).
% 1.53/1.72 tff(568,plain,
% 1.53/1.72 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[496, 567])).
% 1.53/1.72 tff(569,plain,
% 1.53/1.72 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[506, 568, 92, 57, 91])).
% 1.53/1.72 tff(570,plain,
% 1.53/1.72 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[279, 569])).
% 1.53/1.72 tff(571,plain,
% 1.53/1.72 (((~![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(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(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(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(z, s(s(z)))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(572,plain,
% 1.53/1.72 (((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))) <=> ((~r(s(s(z)), 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(z, s(s(z)))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(573,plain,
% 1.53/1.72 (((~![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(s(s(z)))))))) | (~r(z, s(s(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(s(s(z)), 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(z, s(s(z))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[572])).
% 1.53/1.72 tff(574,plain,
% 1.53/1.72 (((~![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(s(s(z)))))))) | (~r(z, s(s(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(s(s(z)), 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(z, s(s(z)))))),
% 1.53/1.72 inference(transitivity,[status(thm)],[573, 571])).
% 1.53/1.72 tff(575,plain,
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% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(576,plain,
% 1.53/1.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[575, 574])).
% 1.53/1.72 tff(577,plain,
% 1.53/1.72 ($false),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[576, 17, 234, 68, 2, 1, 167])).
% 1.53/1.72 tff(578,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.72 tff(579,plain,
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% 1.53/1.72 inference(unit_resolution,[status(thm)],[578, 167, 1, 2, 234])).
% 1.53/1.72 tff(580,plain,
% 1.53/1.72 (b(z, s(z))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[88, 579])).
% 1.53/1.72 tff(581,plain,
% 1.53/1.72 (~r(s(s(s(s(s(z))))), s(z))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[288, 167, 235, 62, 234])).
% 1.53/1.72 tff(582,plain,
% 1.53/1.72 (b(s(s(s(s(s(z))))), s(z))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[303, 581])).
% 1.53/1.72 tff(583,plain,
% 1.53/1.72 ($false),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[465, 102, 92, 56, 582, 57, 580])).
% 1.53/1.72 tff(584,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), 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(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.73 tff(585,plain,
% 1.53/1.73 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[584, 92, 56, 57, 233, 570, 196, 539, 123])).
% 1.53/1.73 tff(586,plain,
% 1.53/1.73 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[165, 585])).
% 1.53/1.73 tff(587,plain,
% 1.53/1.73 (((~![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(s(z))))))) | (~r(z, s(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(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(588,plain,
% 1.53/1.73 (((~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(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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(589,plain,
% 1.53/1.73 (((~![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(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(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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[588])).
% 1.53/1.73 tff(590,plain,
% 1.53/1.73 (((~![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(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(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(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[589, 587])).
% 1.53/1.73 tff(591,plain,
% 1.53/1.73 ((~![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(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)))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(592,plain,
% 1.53/1.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[591, 590])).
% 1.53/1.73 tff(593,plain,
% 1.53/1.73 ($false),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[592, 17, 2, 1, 62, 90, 64])).
% 1.53/1.73 tff(594,plain,((~r(s(s(s(s(s(s(z)))))), 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(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.73 tff(595,plain,
% 1.53/1.73 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[594, 123, 539, 570, 558])).
% 1.53/1.73 tff(596,plain,
% 1.53/1.73 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[361, 595])).
% 1.53/1.73 tff(597,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(s(z)))))), 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))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(598,plain,
% 1.53/1.73 (((~b(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(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(z), 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)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(599,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), 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)))))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[598])).
% 1.53/1.73 tff(600,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), 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))))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[599, 597])).
% 1.53/1.73 tff(601,plain,
% 1.53/1.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(602,plain,
% 1.53/1.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[601, 600])).
% 1.53/1.73 tff(603,plain,
% 1.53/1.73 ($false),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[602, 102, 92, 343, 364, 91, 125])).
% 1.53/1.73 tff(604,plain,((~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(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.73 tff(605,plain,
% 1.53/1.73 (~b(s(s(s(s(s(z))))), s(z))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[604, 586, 92, 91, 596])).
% 1.53/1.73 tff(606,plain,
% 1.53/1.73 (r(s(s(s(s(s(z))))), s(z))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[303, 605])).
% 1.53/1.73 tff(607,plain,
% 1.53/1.73 (~r(s(z), z)),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[76, 67, 58, 68])).
% 1.53/1.73 tff(608,plain,
% 1.53/1.73 (b(s(z), z)),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[380, 607])).
% 1.53/1.73 tff(609,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(610,plain,
% 1.53/1.73 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), 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(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(611,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[610])).
% 1.53/1.73 tff(612,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[611, 609])).
% 1.53/1.73 tff(613,plain,
% 1.53/1.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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)))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(614,plain,
% 1.53/1.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[613, 612])).
% 1.53/1.73 tff(615,plain,
% 1.53/1.73 ($false),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[614, 102, 92, 498, 56, 124, 363])).
% 1.53/1.73 tff(616,plain,((~b(z, s(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(z)), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.73 tff(617,plain,
% 1.53/1.73 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[616, 608, 498, 56, 92])).
% 1.53/1.73 tff(618,plain,
% 1.53/1.73 (r(z, s(s(s(s(s(s(z)))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[538, 617])).
% 1.53/1.73 tff(619,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(s(z))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(620,plain,
% 1.53/1.73 (((~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(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(z)), s(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(s(z)))))), s(s(s(s(s(z))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(621,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(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(X0, 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(s(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(s(z)))))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[620])).
% 1.53/1.73 tff(622,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(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(X0, 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(s(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(s(z))))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[621, 619])).
% 1.53/1.73 tff(623,plain,
% 1.53/1.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(624,plain,
% 1.53/1.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(s(z)))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[623, 622])).
% 1.53/1.73 tff(625,plain,
% 1.53/1.73 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[624, 102, 498, 57, 197])).
% 1.53/1.73 tff(626,plain,
% 1.53/1.73 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[359, 49, 336, 625])).
% 1.53/1.73 tff(627,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(628,plain,
% 1.53/1.73 (((~b(s(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))))))) | (~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(z)), s(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)))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(629,plain,
% 1.53/1.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(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(X0, 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(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))))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[628])).
% 1.53/1.74 tff(630,plain,
% 1.53/1.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(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(X0, 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(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)))))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[629, 627])).
% 1.53/1.74 tff(631,plain,
% 1.53/1.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(632,plain,
% 1.53/1.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[631, 630])).
% 1.53/1.74 tff(633,plain,
% 1.53/1.74 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[632, 102, 498, 57, 197])).
% 1.53/1.74 tff(634,plain,
% 1.53/1.74 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[341, 633])).
% 1.53/1.74 tff(635,plain,
% 1.53/1.74 (((~![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(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(s(z))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(636,plain,
% 1.53/1.74 (((~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(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)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(637,plain,
% 1.53/1.74 (((~![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(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(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)))))))) | (~r(z, s(s(s(s(s(z)))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[636])).
% 1.53/1.74 tff(638,plain,
% 1.53/1.74 (((~![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(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(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)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[637, 635])).
% 1.53/1.74 tff(639,plain,
% 1.53/1.74 ((~![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(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)))))))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(640,plain,
% 1.53/1.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[639, 638])).
% 1.53/1.74 tff(641,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[640, 17, 1, 90, 634, 626])).
% 1.53/1.74 tff(642,plain,((~b(s(s(s(s(s(s(z)))))), s(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(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(643,plain,
% 1.53/1.74 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[642, 90, 57, 498, 1])).
% 1.53/1.74 tff(644,plain,
% 1.53/1.74 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[232, 643])).
% 1.53/1.74 tff(645,plain,
% 1.53/1.74 (((~![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(z))) | (~r(s(s(s(s(s(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(z))) | (~r(s(s(s(s(s(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)))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(646,plain,
% 1.53/1.74 (((~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(z))) | (~r(s(s(s(s(s(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)))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(647,plain,
% 1.53/1.74 (((~![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(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(z))) | (~r(s(s(s(s(s(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))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[646])).
% 1.53/1.74 tff(648,plain,
% 1.53/1.74 (((~![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(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(z))) | (~r(s(s(s(s(s(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)))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[647, 645])).
% 1.53/1.74 tff(649,plain,
% 1.53/1.74 ((~![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(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)))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(650,plain,
% 1.53/1.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[649, 648])).
% 1.53/1.74 tff(651,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[650, 17, 67, 644, 68, 2, 90])).
% 1.53/1.74 tff(652,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(653,plain,
% 1.53/1.74 (~r(z, s(s(s(s(s(z))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[652, 618, 68, 123, 57, 498, 67])).
% 1.53/1.74 tff(654,plain,
% 1.53/1.74 (b(z, s(s(s(s(s(z))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[557, 653])).
% 1.53/1.74 tff(655,plain,
% 1.53/1.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X0, 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(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(656,plain,
% 1.53/1.74 (((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(657,plain,
% 1.53/1.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(X0, 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(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[656])).
% 1.53/1.74 tff(658,plain,
% 1.53/1.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(X0, 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(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[657, 655])).
% 1.53/1.74 tff(659,plain,
% 1.53/1.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(660,plain,
% 1.53/1.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[659, 658])).
% 1.53/1.74 tff(661,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[660, 102, 654, 56, 57, 91, 608])).
% 1.53/1.74 tff(662,plain,((~r(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(z), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(663,plain,
% 1.53/1.74 (~r(z, s(z))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[662, 606, 57, 91, 56, 568, 92, 58])).
% 1.53/1.74 tff(664,plain,
% 1.53/1.74 (b(z, s(z))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[88, 663])).
% 1.53/1.74 tff(665,plain,
% 1.53/1.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(666,plain,
% 1.53/1.74 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, 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(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(667,plain,
% 1.53/1.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[666])).
% 1.53/1.74 tff(668,plain,
% 1.53/1.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[667, 665])).
% 1.53/1.74 tff(669,plain,
% 1.53/1.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(z, 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)))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(670,plain,
% 1.53/1.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[669, 668])).
% 1.53/1.74 tff(671,plain,
% 1.53/1.74 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[670, 102, 92, 568, 56, 664])).
% 1.53/1.74 tff(672,plain,
% 1.53/1.74 (r(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[252, 671])).
% 1.53/1.74 tff(673,plain,
% 1.53/1.74 (((~![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(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)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(674,plain,
% 1.53/1.74 (((~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(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)))))), z)))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(675,plain,
% 1.53/1.75 (((~![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))))), 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(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)))))), z))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[674])).
% 1.53/1.75 tff(676,plain,
% 1.53/1.75 (((~![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))))), 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(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)))))), z)))),
% 1.53/1.75 inference(transitivity,[status(thm)],[675, 673])).
% 1.53/1.75 tff(677,plain,
% 1.53/1.75 ((~![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))))), 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)))))))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(678,plain,
% 1.53/1.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[677, 676])).
% 1.53/1.75 tff(679,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[678, 17, 58, 63, 1, 305])).
% 1.53/1.75 tff(680,plain,((~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))))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(681,plain,
% 1.53/1.75 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[680, 672, 58, 539])).
% 1.53/1.75 tff(682,plain,
% 1.53/1.75 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[341, 681])).
% 1.53/1.75 tff(683,plain,
% 1.53/1.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(684,plain,
% 1.53/1.75 (((~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(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(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(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(685,plain,
% 1.53/1.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[684])).
% 1.53/1.75 tff(686,plain,
% 1.53/1.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[685, 683])).
% 1.53/1.75 tff(687,plain,
% 1.53/1.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(688,plain,
% 1.53/1.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[687, 686])).
% 1.53/1.75 tff(689,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[688, 102, 92, 596, 57, 682, 91, 586])).
% 1.53/1.75 tff(690,plain,((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(691,plain,
% 1.53/1.75 (~b(s(z), s(s(z)))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[690, 91, 57, 58, 56])).
% 1.53/1.75 tff(692,assumption,(~b(s(z), s(s(z)))), introduced(assumption)).
% 1.53/1.75 tff(693,assumption,(~r(s(z), s(s(z)))), introduced(assumption)).
% 1.53/1.75 tff(694,plain,
% 1.53/1.75 (((~![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))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(695,plain,
% 1.53/1.75 ((~![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))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(696,plain,
% 1.53/1.75 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(z))) | b(s(z), s(s(z))) | r(s(z), s(s(z)))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[695, 694])).
% 1.53/1.75 tff(697,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[696, 49, 189, 693, 692])).
% 1.53/1.75 tff(698,plain,(b(s(z), s(s(z))) | r(s(z), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(699,plain,
% 1.53/1.75 (r(s(z), s(s(z)))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[698, 691])).
% 1.53/1.75 tff(700,plain,
% 1.53/1.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, 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)))))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(701,plain,
% 1.53/1.75 (((~b(s(s(z)), z)) | (~b(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)))))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(702,plain,
% 1.53/1.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[701])).
% 1.53/1.75 tff(703,plain,
% 1.53/1.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[702, 700])).
% 1.53/1.75 tff(704,plain,
% 1.53/1.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(705,plain,
% 1.53/1.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[704, 703])).
% 1.53/1.75 tff(706,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[705, 102, 66, 56, 4, 254])).
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% 1.53/1.75 tff(708,plain,
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% 1.53/1.75 inference(unit_resolution,[status(thm)],[707, 254, 56, 66])).
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% 1.53/1.75 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), 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(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
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% 1.53/1.75 tff(720,plain,
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% 1.53/1.75 tff(721,plain,
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% 1.53/1.75 inference(unit_resolution,[status(thm)],[557, 720])).
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% 1.53/1.75 tff(723,plain,
% 1.53/1.75 (((~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(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(z, s(s(s(s(s(z))))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(724,plain,
% 1.53/1.75 (((~![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(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(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(z, s(s(s(s(s(z)))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[723])).
% 1.53/1.75 tff(725,plain,
% 1.53/1.75 (((~![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(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(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(z, s(s(s(s(s(z))))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[724, 722])).
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% 1.53/1.75 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[361, 728])).
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% 1.53/1.75 inference(rewrite,[status(thm)],[])).
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% 1.53/1.75 (((~b(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(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(s(s(z)))))))) | (~b(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(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))))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
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% 1.53/1.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(s(s(s(s(s(z))))), s(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(X0, 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(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)))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[731])).
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% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
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% 1.53/1.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
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% 1.53/1.76 tff(738,plain,
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% 1.53/1.76 tff(739,plain,
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% 1.53/1.76 (((~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(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))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
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% 1.53/1.76 inference(monotonicity,[status(thm)],[741])).
% 1.53/1.76 tff(743,plain,
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% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
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% 1.53/1.76 inference(unit_resolution,[status(thm)],[88, 746])).
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% 1.53/1.76 (~r(s(s(z)), s(z))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[527, 17, 393, 62, 167])).
% 1.53/1.76 tff(749,plain,
% 1.53/1.76 (b(s(s(z)), s(z))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[195, 748])).
% 1.53/1.76 tff(750,plain,
% 1.53/1.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)), z)) | (~b(s(s(s(s(s(z))))), 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(X0, 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(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(751,plain,
% 1.53/1.76 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(752,plain,
% 1.53/1.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(s(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(X0, 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(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[751])).
% 1.53/1.76 tff(753,plain,
% 1.53/1.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(s(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(X0, 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(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.76 inference(transitivity,[status(thm)],[752, 750])).
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% 1.53/1.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
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% 1.53/1.76 inference(modus_ponens,[status(thm)],[754, 753])).
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% 1.53/1.76 inference(unit_resolution,[status(thm)],[755, 102, 56, 749, 343, 747, 91])).
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% 1.53/1.76 tff(758,plain,
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% 1.53/1.76 tff(759,plain,
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% 1.53/1.76 inference(unit_resolution,[status(thm)],[409, 758])).
% 1.53/1.76 tff(760,plain,
% 1.53/1.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
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% 1.53/1.76 (((~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(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(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(z))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(762,plain,
% 1.53/1.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[761])).
% 1.53/1.76 tff(763,plain,
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% 1.53/1.76 inference(transitivity,[status(thm)],[762, 760])).
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% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
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% 1.53/1.76 tff(766,plain,
% 1.53/1.76 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 1.53/1.76 tff(767,plain,
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% 1.53/1.76 tff(768,plain,
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% 1.53/1.76 tff(769,plain,
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% 1.53/1.76 inference(unit_resolution,[status(thm)],[252, 768])).
% 1.53/1.76 tff(770,plain,
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% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(771,plain,
% 1.53/1.76 (((~b(s(s(z)), z)) | (~b(s(s(s(s(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)))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(772,plain,
% 1.53/1.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[771])).
% 1.53/1.76 tff(773,plain,
% 1.53/1.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))),
% 1.53/1.76 inference(transitivity,[status(thm)],[772, 770])).
% 1.53/1.76 tff(774,plain,
% 1.53/1.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(775,plain,
% 1.53/1.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.53/1.76 inference(modus_ponens,[status(thm)],[774, 773])).
% 1.53/1.76 tff(776,plain,
% 1.53/1.76 ($false),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[775, 102, 66, 498, 56, 4])).
% 1.53/1.76 tff(777,plain,((~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))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.76 tff(778,plain,
% 1.53/1.76 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[777, 769, 56, 66])).
% 1.53/1.76 tff(779,plain,
% 1.53/1.76 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[496, 778])).
% 1.53/1.76 tff(780,assumption,(r(s(z), s(s(z)))), introduced(assumption)).
% 1.53/1.76 tff(781,plain,
% 1.53/1.76 (((~![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(z)))) | (~r(s(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(s(z)))))))))) <=> ((~![X0: $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(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(s(z)))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(782,plain,
% 1.53/1.76 (((~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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(783,plain,
% 1.53/1.76 (((~![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(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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[782])).
% 1.53/1.77 tff(784,plain,
% 1.53/1.77 (((~![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(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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[783, 781])).
% 1.53/1.77 tff(785,plain,
% 1.53/1.77 ((~![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(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)))))))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(786,plain,
% 1.53/1.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[785, 784])).
% 1.53/1.77 tff(787,plain,
% 1.53/1.77 ($false),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[786, 17, 780, 779, 62, 167])).
% 1.53/1.77 tff(788,plain,((~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)))))))) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(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)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.77 tff(789,plain,
% 1.53/1.77 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[788, 343, 739, 56, 66, 58, 1, 699, 91])).
% 1.53/1.77 tff(790,plain,
% 1.53/1.77 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[165, 789])).
% 1.53/1.77 tff(791,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(s(z)))))), 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))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(792,plain,
% 1.53/1.77 (((~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(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(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)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(793,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), 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)))))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[792])).
% 1.53/1.77 tff(794,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), 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))))))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[793, 791])).
% 1.53/1.77 tff(795,plain,
% 1.53/1.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(796,plain,
% 1.53/1.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[795, 794])).
% 1.53/1.77 tff(797,plain,
% 1.53/1.77 ($false),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[796, 102, 343, 364, 91, 125])).
% 1.53/1.77 tff(798,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), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.77 tff(799,plain,
% 1.53/1.77 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[798, 343, 91, 790])).
% 1.53/1.77 tff(800,plain,
% 1.53/1.77 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[361, 799])).
% 1.53/1.77 tff(801,plain,
% 1.53/1.77 (((~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)) | (~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(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(802,plain,
% 1.53/1.77 (((~![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(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(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(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(z, s(s(s(s(s(z)))))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[801])).
% 1.53/1.77 tff(803,plain,
% 1.53/1.77 (((~![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(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(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(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(z, s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[802, 722])).
% 1.53/1.77 tff(804,plain,
% 1.53/1.77 ((~![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(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(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(805,plain,
% 1.53/1.77 ((~![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(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(z, s(s(s(s(s(z)))))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[804, 803])).
% 1.53/1.77 tff(806,plain,
% 1.53/1.77 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[805, 17, 58, 721, 800])).
% 1.53/1.77 tff(807,plain,
% 1.53/1.77 (b(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[252, 806])).
% 1.53/1.77 tff(808,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), 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(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), 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(z), s(s(s(s(s(s(z)))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(809,plain,
% 1.53/1.77 (((~b(z, s(s(z)))) | (~b(s(s(s(s(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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(z, 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))))), 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)))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(810,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(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(X0, 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(s(s(s(s(s(z))))), 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(z), s(s(s(s(s(s(z))))))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[809])).
% 1.53/1.77 tff(811,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(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(X0, 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(s(s(s(s(s(z))))), 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(z), s(s(s(s(s(s(z)))))))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[810, 808])).
% 1.53/1.77 tff(812,plain,
% 1.53/1.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(813,plain,
% 1.53/1.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), 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(z), s(s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[812, 811])).
% 1.53/1.77 tff(814,plain,
% 1.53/1.77 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[813, 102, 66, 343, 807, 57, 790])).
% 1.53/1.77 tff(815,plain,
% 1.53/1.77 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[341, 814])).
% 1.53/1.77 tff(816,plain,
% 1.53/1.77 (((~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(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)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(817,plain,
% 1.53/1.77 (((~![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(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(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)))))))) | (~r(z, s(s(s(s(s(z)))))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[816])).
% 1.53/1.77 tff(818,plain,
% 1.53/1.77 (((~![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(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(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)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[817, 635])).
% 1.53/1.77 tff(819,plain,
% 1.53/1.77 ((~![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(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))))))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(820,plain,
% 1.53/1.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[819, 818])).
% 1.53/1.77 tff(821,plain,
% 1.53/1.77 ($false),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[820, 17, 1, 721, 815, 800])).
% 1.53/1.77 tff(822,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.77 tff(823,plain,
% 1.53/1.77 (~b(s(s(s(s(s(z))))), s(z))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[822, 66, 1, 57, 58, 91, 56])).
% 1.53/1.77 tff(824,plain,
% 1.53/1.77 (r(s(s(s(s(s(z))))), s(z))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[303, 823])).
% 1.53/1.77 tff(825,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(826,plain,
% 1.53/1.77 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), 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)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(827,plain,
% 1.53/1.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.53/1.78 inference(monotonicity,[status(thm)],[826])).
% 1.53/1.78 tff(828,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.78 inference(transitivity,[status(thm)],[827, 825])).
% 1.53/1.78 tff(829,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))),
% 1.53/1.78 inference(quant_inst,[status(thm)],[])).
% 1.53/1.78 tff(830,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.78 inference(modus_ponens,[status(thm)],[829, 828])).
% 1.53/1.78 tff(831,plain,
% 1.53/1.78 (~b(z, s(z))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[830, 102, 66, 168, 57, 91])).
% 1.53/1.78 tff(832,plain,
% 1.53/1.78 (r(z, s(z))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[88, 831])).
% 1.53/1.78 tff(833,plain,
% 1.53/1.78 (~r(s(z), z)),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[76, 832, 58, 67])).
% 1.53/1.78 tff(834,plain,
% 1.53/1.78 (b(s(z), z)),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[380, 833])).
% 1.53/1.78 tff(835,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(836,plain,
% 1.53/1.78 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(837,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z))))),
% 1.53/1.78 inference(monotonicity,[status(thm)],[836])).
% 1.53/1.78 tff(838,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)))),
% 1.53/1.78 inference(transitivity,[status(thm)],[837, 835])).
% 1.53/1.78 tff(839,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 1.53/1.78 inference(quant_inst,[status(thm)],[])).
% 1.53/1.78 tff(840,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z))),
% 1.53/1.78 inference(modus_ponens,[status(thm)],[839, 838])).
% 1.53/1.78 tff(841,plain,
% 1.53/1.78 ($false),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[840, 102, 66, 56, 168, 834])).
% 1.53/1.78 tff(842,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(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(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.78 tff(843,plain,
% 1.53/1.78 (~b(s(s(z)), s(z))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[842, 824, 56, 58, 66, 57, 91])).
% 1.53/1.78 tff(844,plain,
% 1.53/1.78 (r(s(s(z)), s(z))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[195, 843])).
% 1.53/1.78 tff(845,plain,
% 1.53/1.78 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[680, 305, 58, 1])).
% 1.53/1.78 tff(846,plain,
% 1.53/1.78 (b(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[252, 845])).
% 1.53/1.78 tff(847,plain,
% 1.53/1.78 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[777, 846, 56, 66])).
% 1.53/1.78 tff(848,plain,
% 1.53/1.78 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[496, 847])).
% 1.53/1.78 tff(849,plain,
% 1.53/1.78 (((~![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), 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(z), 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)))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(850,plain,
% 1.53/1.78 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(z), 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)))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(851,plain,
% 1.53/1.78 (((~![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), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(z), 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))))))),
% 1.53/1.78 inference(monotonicity,[status(thm)],[850])).
% 1.53/1.78 tff(852,plain,
% 1.53/1.78 (((~![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), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(z), 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)))))),
% 1.53/1.78 inference(transitivity,[status(thm)],[851, 849])).
% 1.53/1.78 tff(853,plain,
% 1.53/1.78 ((~![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), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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)))))),
% 1.53/1.78 inference(quant_inst,[status(thm)],[])).
% 1.53/1.78 tff(854,plain,
% 1.53/1.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.53/1.78 inference(modus_ponens,[status(thm)],[853, 852])).
% 1.53/1.78 tff(855,plain,
% 1.53/1.78 ($false),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[854, 17, 780, 234, 5, 393])).
% 1.53/1.78 tff(856,plain,((~r(s(z), s(s(z)))) | (~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,[]))).
% 1.53/1.78 tff(857,plain,
% 1.53/1.78 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[856, 848, 699, 844])).
% 1.53/1.78 tff(858,plain,
% 1.53/1.78 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[409, 857])).
% 1.53/1.78 tff(859,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(860,plain,
% 1.53/1.78 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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(s(s(z)))))), 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(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(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(861,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z), s(s(s(s(s(z)))))))))),
% 1.53/1.78 inference(monotonicity,[status(thm)],[860])).
% 1.53/1.78 tff(862,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z), s(s(s(s(s(z))))))))),
% 1.53/1.78 inference(transitivity,[status(thm)],[861, 859])).
% 1.53/1.78 tff(863,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 1.53/1.78 inference(quant_inst,[status(thm)],[])).
% 1.53/1.78 tff(864,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.78 inference(modus_ponens,[status(thm)],[863, 862])).
% 1.53/1.78 tff(865,plain,
% 1.53/1.78 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[864, 102, 858, 56, 846, 57, 91])).
% 1.53/1.78 tff(866,plain,
% 1.53/1.78 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[361, 865])).
% 1.53/1.78 tff(867,plain,
% 1.53/1.78 ($false),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[640, 17, 1, 721, 305, 866])).
% 1.53/1.78 tff(868,plain,((~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)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.78 tff(869,plain,
% 1.53/1.78 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[868, 66, 56, 57, 91, 1, 58])).
% 1.53/1.78 tff(870,plain,
% 1.53/1.78 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[341, 869])).
% 1.53/1.78 tff(871,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(872,plain,
% 1.53/1.78 (((~b(s(z), 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(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(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))))))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(873,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.53/1.78 inference(monotonicity,[status(thm)],[872])).
% 1.53/1.78 tff(874,plain,
% 1.53/1.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.53/1.78 inference(transitivity,[status(thm)],[873, 871])).
% 1.53/1.78 tff(875,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.53/1.78 inference(quant_inst,[status(thm)],[])).
% 1.53/1.78 tff(876,plain,
% 1.53/1.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.53/1.78 inference(modus_ponens,[status(thm)],[875, 874])).
% 1.53/1.78 tff(877,plain,
% 1.53/1.78 ($false),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[876, 102, 425, 60, 91, 125])).
% 1.53/1.78 tff(878,plain,((~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(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.79 tff(879,plain,
% 1.53/1.79 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[878, 60, 91, 125])).
% 1.53/1.79 tff(880,plain,
% 1.53/1.79 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[409, 879])).
% 1.53/1.79 tff(881,plain,
% 1.53/1.79 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[856, 880, 780, 234])).
% 1.53/1.79 tff(882,plain,
% 1.53/1.79 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[496, 881])).
% 1.53/1.79 tff(883,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(X0, 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)))))), 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)))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(884,plain,
% 1.53/1.79 (((~b(z, s(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)))))), 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(z, s(s(z)))) | (~b(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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(885,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(s(z)))) | (~b(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)))) | (~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(X0, 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)))))), 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))))))))))),
% 1.53/1.79 inference(monotonicity,[status(thm)],[884])).
% 1.53/1.79 tff(886,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(s(z)))) | (~b(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)))) | (~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(X0, 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)))))), 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)))))))))),
% 1.53/1.79 inference(transitivity,[status(thm)],[885, 883])).
% 1.53/1.79 tff(887,plain,
% 1.53/1.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(s(z)))) | (~b(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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(quant_inst,[status(thm)],[])).
% 1.53/1.79 tff(888,plain,
% 1.53/1.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 1.53/1.79 inference(modus_ponens,[status(thm)],[887, 886])).
% 1.53/1.79 tff(889,plain,
% 1.53/1.79 ($false),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[888, 102, 66, 882, 56, 57, 60])).
% 1.53/1.79 tff(890,plain,((~b(s(s(s(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(z))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.79 tff(891,plain,
% 1.53/1.79 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[890, 870, 56, 57, 699, 844, 91, 66])).
% 1.53/1.79 tff(892,plain,
% 1.53/1.79 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[165, 891])).
% 1.53/1.79 tff(893,plain,
% 1.53/1.79 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[288, 892, 824, 739, 844])).
% 1.53/1.79 tff(894,plain,
% 1.53/1.79 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[232, 893])).
% 1.53/1.79 tff(895,plain,
% 1.53/1.79 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[642, 894, 57, 721, 1])).
% 1.53/1.79 tff(896,plain,
% 1.53/1.79 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[496, 895])).
% 1.53/1.79 tff(897,plain,
% 1.53/1.79 (((~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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(898,plain,
% 1.53/1.79 (((~![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(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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.53/1.79 inference(monotonicity,[status(thm)],[897])).
% 1.53/1.79 tff(899,plain,
% 1.53/1.79 (((~![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(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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(transitivity,[status(thm)],[898, 781])).
% 1.53/1.79 tff(900,plain,
% 1.53/1.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))))),
% 1.53/1.79 inference(quant_inst,[status(thm)],[])).
% 1.53/1.79 tff(901,plain,
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% 1.53/1.79 inference(modus_ponens,[status(thm)],[900, 899])).
% 1.53/1.79 tff(902,plain,
% 1.53/1.79 ($false),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[901, 17, 699, 896, 739, 892])).
% 1.53/1.79 tff(903,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.79 tff(904,plain,
% 1.53/1.79 (~b(z, s(s(z)))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[903, 1, 57, 56, 91, 58])).
% 1.53/1.79 tff(905,plain,
% 1.53/1.79 (r(z, s(s(z)))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[122, 904])).
% 1.53/1.79 tff(906,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(907,plain,
% 1.53/1.79 (((~b(s(s(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(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(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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(908,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 1.53/1.79 inference(monotonicity,[status(thm)],[907])).
% 1.53/1.79 tff(909,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(transitivity,[status(thm)],[908, 906])).
% 1.53/1.79 tff(910,plain,
% 1.53/1.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(quant_inst,[status(thm)],[])).
% 1.53/1.79 tff(911,plain,
% 1.53/1.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 1.53/1.79 inference(modus_ponens,[status(thm)],[910, 909])).
% 1.53/1.79 tff(912,plain,
% 1.53/1.79 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[911, 102, 498, 57, 254])).
% 1.53/1.79 tff(913,plain,
% 1.53/1.79 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[341, 912])).
% 1.53/1.79 tff(914,plain,
% 1.53/1.79 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[680, 913, 58, 1])).
% 1.53/1.79 tff(915,plain,
% 1.53/1.79 (b(s(s(s(s(s(s(z)))))), z)),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[252, 914])).
% 1.53/1.79 tff(916,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(z))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(917,plain,
% 1.53/1.79 (((~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(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(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(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(918,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(monotonicity,[status(thm)],[917])).
% 1.53/1.79 tff(919,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(s(s(z))))))))),
% 1.53/1.79 inference(transitivity,[status(thm)],[918, 916])).
% 1.53/1.79 tff(920,plain,
% 1.53/1.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.53/1.79 inference(quant_inst,[status(thm)],[])).
% 1.53/1.79 tff(921,plain,
% 1.53/1.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(z)))))))),
% 1.53/1.79 inference(modus_ponens,[status(thm)],[920, 919])).
% 1.53/1.79 tff(922,plain,
% 1.53/1.79 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[921, 102, 498, 57, 254])).
% 1.53/1.79 tff(923,plain,
% 1.53/1.79 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[361, 922])).
% 1.53/1.79 tff(924,plain,
% 1.53/1.79 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[820, 17, 90, 305, 923])).
% 1.53/1.79 tff(925,plain,
% 1.53/1.79 (b(z, s(s(s(s(s(s(z)))))))),
% 1.53/1.79 inference(unit_resolution,[status(thm)],[538, 924])).
% 1.53/1.79 tff(926,plain,
% 1.53/1.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(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(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.79 tff(927,plain,
% 1.53/1.79 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), 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)), s(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(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.79 inference(rewrite,[status(thm)],[])).
% 1.53/1.80 tff(928,plain,
% 1.53/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(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(z, s(s(s(s(s(s(z))))))))))),
% 1.53/1.80 inference(monotonicity,[status(thm)],[927])).
% 1.53/1.80 tff(929,plain,
% 1.53/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(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(z, s(s(s(s(s(s(z)))))))))),
% 1.53/1.80 inference(transitivity,[status(thm)],[928, 926])).
% 1.53/1.80 tff(930,plain,
% 1.53/1.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))),
% 1.53/1.80 inference(quant_inst,[status(thm)],[])).
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% 1.53/1.80 inference(modus_ponens,[status(thm)],[930, 929])).
% 1.53/1.80 tff(932,plain,
% 1.53/1.80 ($false),
% 1.53/1.80 inference(unit_resolution,[status(thm)],[931, 102, 498, 56, 168, 925, 254])).
% 1.53/1.80 tff(933,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(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(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.80 tff(934,plain,
% 1.53/1.80 (~r(z, s(s(s(s(s(z))))))),
% 1.53/1.80 inference(unit_resolution,[status(thm)],[933, 913, 56, 254, 498, 168, 57])).
% 1.53/1.80 tff(935,plain,
% 1.53/1.80 (b(z, s(s(s(s(s(z))))))),
% 1.53/1.80 inference(unit_resolution,[status(thm)],[557, 934])).
% 1.53/1.80 tff(936,plain,
% 1.53/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), z)) | (~b(s(s(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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 1.53/1.80 inference(rewrite,[status(thm)],[])).
% 1.53/1.80 tff(937,plain,
% 1.53/1.80 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, 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(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 1.53/1.80 inference(rewrite,[status(thm)],[])).
% 1.53/1.80 tff(938,plain,
% 1.53/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(z, 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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[937])).
% 1.63/1.80 tff(939,plain,
% 1.63/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(z, 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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[938, 936])).
% 1.63/1.80 tff(940,plain,
% 1.63/1.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(z, 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)))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(941,plain,
% 1.63/1.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[940, 939])).
% 1.63/1.80 tff(942,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[941, 102, 935, 498, 56, 915, 57])).
% 1.63/1.80 tff(943,plain,((~b(s(s(s(s(s(s(z)))))), s(s(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(s(z)))))))) | (~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(944,plain,
% 1.63/1.80 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[943, 168, 57, 254, 56, 58, 1])).
% 1.63/1.80 tff(945,plain,
% 1.63/1.80 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[496, 944])).
% 1.63/1.80 tff(946,plain,
% 1.63/1.80 (((~![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(z), 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(s(z)))))) <=> ((~![X0: $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(z), 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(s(z)))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(947,plain,
% 1.63/1.80 (((~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(s(z), s(s(z)))) | (~r(s(z), 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(s(z)))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(948,plain,
% 1.63/1.80 (((~![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(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(s(z), s(s(z)))) | (~r(s(z), 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(s(z))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[947])).
% 1.63/1.80 tff(949,plain,
% 1.63/1.80 (((~![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(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(s(z), s(s(z)))) | (~r(s(z), 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(s(z)))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[948, 946])).
% 1.63/1.80 tff(950,plain,
% 1.63/1.80 ((~![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(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)))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(951,plain,
% 1.63/1.80 ((~![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(z), 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(s(z))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[950, 949])).
% 1.63/1.80 tff(952,plain,
% 1.63/1.80 (~r(s(z), z)),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[951, 17, 699, 945, 1, 167])).
% 1.63/1.80 tff(953,plain,
% 1.63/1.80 (b(s(z), z)),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[380, 952])).
% 1.63/1.80 tff(954,plain,
% 1.63/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(955,plain,
% 1.63/1.80 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(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(s(z)), s(z))) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(956,plain,
% 1.63/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(z), s(s(s(s(s(z)))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[955])).
% 1.63/1.80 tff(957,plain,
% 1.63/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[956, 954])).
% 1.63/1.80 tff(958,plain,
% 1.63/1.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(959,plain,
% 1.63/1.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[958, 957])).
% 1.63/1.80 tff(960,plain,
% 1.63/1.80 ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[959, 102, 56, 57, 91])).
% 1.63/1.80 tff(961,plain,
% 1.63/1.80 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[960, 168])).
% 1.63/1.80 tff(962,plain,
% 1.63/1.80 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[232, 961])).
% 1.63/1.80 tff(963,plain,
% 1.63/1.80 (~r(z, s(s(s(s(s(z))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[566, 945, 1, 905, 962])).
% 1.63/1.80 tff(964,plain,
% 1.63/1.80 (b(z, s(s(s(s(s(z))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[557, 963])).
% 1.63/1.80 tff(965,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[660, 102, 964, 56, 57, 91, 953])).
% 1.63/1.80 tff(966,plain,((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(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)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(967,plain,
% 1.63/1.80 (~b(s(s(z)), s(z))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[966, 254, 57, 91, 1, 167, 56, 58])).
% 1.63/1.80 tff(968,plain,
% 1.63/1.80 (r(s(s(z)), s(z))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[195, 967])).
% 1.63/1.80 tff(969,plain,
% 1.63/1.80 (((~![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(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(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(970,plain,
% 1.63/1.80 (((~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(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(971,plain,
% 1.63/1.80 (((~![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(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(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[970])).
% 1.63/1.80 tff(972,plain,
% 1.63/1.80 (((~![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(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(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[971, 969])).
% 1.63/1.80 tff(973,plain,
% 1.63/1.80 ((~![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(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(974,plain,
% 1.63/1.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[973, 972])).
% 1.63/1.80 tff(975,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[974, 17, 780, 234, 68, 2])).
% 1.63/1.80 tff(976,plain,((~r(s(s(z)), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(977,plain,
% 1.63/1.80 (~r(z, s(z))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[976, 968, 699, 905])).
% 1.63/1.80 tff(978,plain,
% 1.63/1.80 (b(z, s(z))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[88, 977])).
% 1.63/1.80 tff(979,plain,
% 1.63/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(s(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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(s(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(z))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(980,plain,
% 1.63/1.80 (((~b(s(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(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(s(z)))) | (~b(s(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(z))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(981,plain,
% 1.63/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(z)))) | (~b(s(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(z)))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[980])).
% 1.63/1.80 tff(982,plain,
% 1.63/1.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(z)))) | (~b(s(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(z))))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[981, 979])).
% 1.63/1.80 tff(983,plain,
% 1.63/1.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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)))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(984,plain,
% 1.63/1.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(s(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(z)))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[983, 982])).
% 1.63/1.80 tff(985,plain,
% 1.63/1.80 ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[984, 102, 498, 57, 382, 91])).
% 1.63/1.80 tff(986,plain,
% 1.63/1.80 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[985, 915])).
% 1.63/1.80 tff(987,plain,
% 1.63/1.80 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[409, 986])).
% 1.63/1.80 tff(988,plain,
% 1.63/1.80 (((~![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(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(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))))), 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(s(z)))))), s(z))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(989,plain,
% 1.63/1.81 (((~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(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(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(990,plain,
% 1.63/1.81 (((~![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(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(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(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[989])).
% 1.63/1.81 tff(991,plain,
% 1.63/1.81 (((~![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(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(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(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[990, 988])).
% 1.63/1.81 tff(992,plain,
% 1.63/1.81 ((~![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(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)))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(993,plain,
% 1.63/1.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[992, 991])).
% 1.63/1.81 tff(994,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[993, 17, 58, 67, 987, 1, 913])).
% 1.63/1.81 tff(995,plain,((~b(s(s(s(s(s(s(z)))))), s(s(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)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(996,plain,
% 1.63/1.81 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[995, 978, 67, 1, 57, 58, 91, 254])).
% 1.63/1.81 tff(997,plain,
% 1.63/1.81 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[496, 996])).
% 1.63/1.81 tff(998,plain,
% 1.63/1.81 (~r(s(z), z)),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[951, 17, 699, 997, 1, 167])).
% 1.63/1.81 tff(999,plain,
% 1.63/1.81 (b(s(z), z)),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[380, 998])).
% 1.63/1.81 tff(1000,plain,
% 1.63/1.81 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[856, 997, 699, 968])).
% 1.63/1.81 tff(1001,plain,
% 1.63/1.81 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[409, 1000])).
% 1.63/1.81 tff(1002,plain,
% 1.63/1.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1003,plain,
% 1.63/1.81 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(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(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))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1004,plain,
% 1.63/1.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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)))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1003])).
% 1.63/1.81 tff(1005,plain,
% 1.63/1.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1004, 1002])).
% 1.63/1.81 tff(1006,plain,
% 1.63/1.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1007,plain,
% 1.63/1.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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)))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 1.63/1.81 tff(1008,plain,
% 1.63/1.81 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1007, 102, 1001, 978, 999])).
% 1.63/1.81 tff(1009,plain,
% 1.63/1.81 (r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[252, 1008])).
% 1.63/1.81 tff(1010,plain,
% 1.63/1.81 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[680, 1009, 58, 1])).
% 1.63/1.81 tff(1011,plain,
% 1.63/1.81 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[341, 1010])).
% 1.63/1.81 tff(1012,plain,
% 1.63/1.81 ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[241, 17, 58, 997, 905])).
% 1.63/1.81 tff(1013,plain,
% 1.63/1.81 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1012, 1009])).
% 1.63/1.81 tff(1014,plain,
% 1.63/1.81 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[361, 1013])).
% 1.63/1.81 tff(1015,plain,
% 1.63/1.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1016,plain,
% 1.63/1.81 (((~b(s(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(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(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))))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1017,plain,
% 1.63/1.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1016])).
% 1.63/1.81 tff(1018,plain,
% 1.63/1.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1017, 1015])).
% 1.63/1.81 tff(1019,plain,
% 1.63/1.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1020,plain,
% 1.63/1.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 1.63/1.81 tff(1021,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1020, 102, 1001, 1014, 1011, 91])).
% 1.63/1.81 tff(1022,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), 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(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1023,plain,
% 1.63/1.81 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1022, 167, 58, 1, 91, 67, 57, 56])).
% 1.63/1.81 tff(1024,plain,
% 1.63/1.81 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[279, 1023])).
% 1.63/1.81 tff(1025,plain,
% 1.63/1.81 (((~![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(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1026,plain,
% 1.63/1.81 (((~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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1027,plain,
% 1.63/1.81 (((~![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(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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1026])).
% 1.63/1.81 tff(1028,plain,
% 1.63/1.81 (((~![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(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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1027, 1025])).
% 1.63/1.81 tff(1029,plain,
% 1.63/1.81 ((~![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(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))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1030,plain,
% 1.63/1.81 ((~![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(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.63/1.81 tff(1031,plain,
% 1.63/1.81 (~r(z, s(z))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1030, 17, 699, 905, 1, 1024])).
% 1.63/1.81 tff(1032,plain,
% 1.63/1.81 (b(z, s(z))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[88, 1031])).
% 1.63/1.81 tff(1033,plain,
% 1.63/1.81 (((~![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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(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(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(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1034,plain,
% 1.63/1.81 (((~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(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(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1035,plain,
% 1.63/1.81 (((~![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(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(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(s(z)))))))) | (~r(z, s(s(z))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1034])).
% 1.63/1.81 tff(1036,plain,
% 1.63/1.81 (((~![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(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(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(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1035, 1033])).
% 1.63/1.82 tff(1037,plain,
% 1.63/1.82 ((~![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(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)))))),
% 1.63/1.82 inference(quant_inst,[status(thm)],[])).
% 1.63/1.82 tff(1038,plain,
% 1.63/1.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 1.63/1.82 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 1.63/1.82 tff(1039,plain,
% 1.63/1.82 ($false),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1038, 17, 5, 2, 1, 62])).
% 1.63/1.82 tff(1040,plain,((~r(s(s(z)), s(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))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.82 tff(1041,plain,
% 1.63/1.82 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1040, 1024, 905, 1])).
% 1.63/1.82 tff(1042,plain,
% 1.63/1.82 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[496, 1041])).
% 1.63/1.82 tff(1043,plain,
% 1.63/1.82 (~r(z, s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[642, 197, 57, 498, 1])).
% 1.63/1.82 tff(1044,plain,
% 1.63/1.82 (b(z, s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[557, 1043])).
% 1.63/1.82 tff(1045,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1046,plain,
% 1.63/1.82 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(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(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1047,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 1.63/1.82 inference(monotonicity,[status(thm)],[1046])).
% 1.63/1.82 tff(1048,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 1.63/1.82 inference(transitivity,[status(thm)],[1047, 1045])).
% 1.63/1.82 tff(1049,plain,
% 1.63/1.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 1.63/1.82 inference(quant_inst,[status(thm)],[])).
% 1.63/1.82 tff(1050,plain,
% 1.63/1.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 1.63/1.82 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 1.63/1.82 tff(1051,plain,
% 1.63/1.82 ($false),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1050, 102, 1044, 56, 57, 197])).
% 1.63/1.82 tff(1052,plain,((~b(s(s(z)), s(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)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.82 tff(1053,plain,
% 1.63/1.82 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1052, 1042, 57, 56, 1])).
% 1.63/1.82 tff(1054,plain,
% 1.63/1.82 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[232, 1053])).
% 1.63/1.82 tff(1055,plain,
% 1.63/1.82 (~r(s(s(z)), s(z))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[288, 1054, 67, 167, 1024])).
% 1.63/1.82 tff(1056,plain,
% 1.63/1.82 (b(s(s(z)), s(z))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[195, 1055])).
% 1.63/1.82 tff(1057,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1058,plain,
% 1.63/1.82 (((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), 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(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1059,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.63/1.82 inference(monotonicity,[status(thm)],[1058])).
% 1.63/1.82 tff(1060,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.82 inference(transitivity,[status(thm)],[1059, 1057])).
% 1.63/1.82 tff(1061,plain,
% 1.63/1.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))),
% 1.63/1.82 inference(quant_inst,[status(thm)],[])).
% 1.63/1.82 tff(1062,plain,
% 1.63/1.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 1.63/1.82 tff(1063,plain,
% 1.63/1.82 (~b(z, s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1062, 102, 1056, 57, 1032, 91])).
% 1.63/1.82 tff(1064,plain,
% 1.63/1.82 (r(z, s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[557, 1063])).
% 1.63/1.82 tff(1065,plain,
% 1.63/1.82 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[594, 1064, 1, 905, 1024])).
% 1.63/1.82 tff(1066,plain,
% 1.63/1.82 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[361, 1065])).
% 1.63/1.82 tff(1067,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1068,plain,
% 1.63/1.82 (((~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(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(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(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1069,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z), s(s(s(s(s(z)))))))))),
% 1.63/1.82 inference(monotonicity,[status(thm)],[1068])).
% 1.63/1.82 tff(1070,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.82 inference(transitivity,[status(thm)],[1069, 1067])).
% 1.63/1.82 tff(1071,plain,
% 1.63/1.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.63/1.82 inference(quant_inst,[status(thm)],[])).
% 1.63/1.82 tff(1072,plain,
% 1.63/1.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 1.63/1.82 tff(1073,plain,
% 1.63/1.82 ($false),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1072, 102, 1042, 1056, 1066, 57, 91])).
% 1.63/1.82 tff(1074,plain,((~r(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(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.82 tff(1075,plain,
% 1.63/1.82 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1074, 67, 91, 1, 57, 56, 58])).
% 1.63/1.82 tff(1076,plain,
% 1.63/1.82 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[165, 1075])).
% 1.63/1.82 tff(1077,plain,
% 1.63/1.82 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1040, 5, 905, 1])).
% 1.63/1.82 tff(1078,plain,
% 1.63/1.82 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[279, 1077])).
% 1.63/1.82 tff(1079,plain,
% 1.63/1.82 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[680, 63, 58, 1])).
% 1.63/1.82 tff(1080,plain,
% 1.63/1.82 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[341, 1079])).
% 1.63/1.82 tff(1081,plain,
% 1.63/1.82 (((~![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), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(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(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1082,plain,
% 1.63/1.82 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(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), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.63/1.82 inference(rewrite,[status(thm)],[])).
% 1.63/1.82 tff(1083,plain,
% 1.63/1.82 (((~![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(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(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 1.63/1.82 inference(monotonicity,[status(thm)],[1082])).
% 1.63/1.82 tff(1084,plain,
% 1.63/1.82 (((~![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(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(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.63/1.82 inference(transitivity,[status(thm)],[1083, 1081])).
% 1.63/1.82 tff(1085,plain,
% 1.63/1.82 ((~![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(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)))),
% 1.63/1.82 inference(quant_inst,[status(thm)],[])).
% 1.63/1.82 tff(1086,plain,
% 1.63/1.82 ((~![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), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 1.63/1.82 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 1.63/1.82 tff(1087,plain,
% 1.63/1.82 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[1086, 17, 59, 63, 1])).
% 1.63/1.82 tff(1088,plain,
% 1.63/1.82 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.82 inference(unit_resolution,[status(thm)],[163, 49, 1087, 158])).
% 1.63/1.82 tff(1089,plain,
% 1.63/1.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(s(z)))))), 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))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1090,plain,
% 1.63/1.83 (((~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(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(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(z), s(s(s(s(s(z))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1091,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(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(X0, 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(s(z)))))), 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)))))))))),
% 1.63/1.83 inference(monotonicity,[status(thm)],[1090])).
% 1.63/1.83 tff(1092,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(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(X0, 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(s(z)))))), 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))))))))),
% 1.63/1.83 inference(transitivity,[status(thm)],[1091, 1089])).
% 1.63/1.83 tff(1093,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(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)))))))))),
% 1.63/1.83 inference(quant_inst,[status(thm)],[])).
% 1.63/1.83 tff(1094,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.83 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 1.63/1.83 tff(1095,plain,
% 1.63/1.83 ($false),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1094, 102, 422, 60, 91, 1088])).
% 1.63/1.83 tff(1096,plain,((~r(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))))))) | (~r(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(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.83 tff(1097,plain,
% 1.63/1.83 (~r(s(z), z)),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1096, 1080, 91, 1, 5, 58, 63, 905])).
% 1.63/1.83 tff(1098,plain,
% 1.63/1.83 (b(s(z), z)),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[380, 1097])).
% 1.63/1.83 tff(1099,plain,
% 1.63/1.83 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[878, 1080, 91, 125])).
% 1.63/1.83 tff(1100,plain,
% 1.63/1.83 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[409, 1099])).
% 1.63/1.83 tff(1101,plain,
% 1.63/1.83 (~r(s(s(z)), s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[856, 1100, 699, 5])).
% 1.63/1.83 tff(1102,plain,
% 1.63/1.83 (b(s(s(z)), s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[195, 1101])).
% 1.63/1.83 tff(1103,plain,
% 1.63/1.83 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[960, 1102])).
% 1.63/1.83 tff(1104,plain,
% 1.63/1.83 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[232, 1103])).
% 1.63/1.83 tff(1105,plain,
% 1.63/1.83 (~r(z, s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[566, 1104, 1, 905, 5])).
% 1.63/1.83 tff(1106,plain,
% 1.63/1.83 (b(z, s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[557, 1105])).
% 1.63/1.83 tff(1107,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1108,plain,
% 1.63/1.83 (((~b(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(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))) <=> ((~b(s(z), 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(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1109,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.63/1.83 inference(monotonicity,[status(thm)],[1108])).
% 1.63/1.83 tff(1110,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.83 inference(transitivity,[status(thm)],[1109, 1107])).
% 1.63/1.83 tff(1111,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 1.63/1.83 inference(quant_inst,[status(thm)],[])).
% 1.63/1.83 tff(1112,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.83 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 1.63/1.83 tff(1113,plain,
% 1.63/1.83 ($false),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1112, 102, 1106, 57, 1078, 91, 1098, 125])).
% 1.63/1.83 tff(1114,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.83 tff(1115,plain,
% 1.63/1.83 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1114, 5, 91, 1076, 1, 57, 56, 58])).
% 1.63/1.83 tff(1116,plain,
% 1.63/1.83 (b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[252, 1115])).
% 1.63/1.83 tff(1117,plain,
% 1.63/1.83 (~r(s(s(z)), s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[856, 880, 780, 5])).
% 1.63/1.83 tff(1118,plain,
% 1.63/1.83 (b(s(s(z)), s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[195, 1117])).
% 1.63/1.83 tff(1119,plain,
% 1.63/1.83 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[960, 1118])).
% 1.63/1.83 tff(1120,plain,
% 1.63/1.83 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[232, 1119])).
% 1.63/1.83 tff(1121,plain,
% 1.63/1.83 (~r(z, s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[566, 1120, 1, 2, 5])).
% 1.63/1.83 tff(1122,plain,
% 1.63/1.83 (b(z, s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[557, 1121])).
% 1.63/1.83 tff(1123,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(X0, 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)))))), 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))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1124,plain,
% 1.63/1.83 (((~b(z, 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(s(z)))))))) | (~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)))))), 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))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1125,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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)))))))))),
% 1.63/1.83 inference(monotonicity,[status(thm)],[1124])).
% 1.63/1.83 tff(1126,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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))))))))),
% 1.63/1.83 inference(transitivity,[status(thm)],[1125, 1123])).
% 1.63/1.83 tff(1127,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.63/1.83 inference(quant_inst,[status(thm)],[])).
% 1.63/1.83 tff(1128,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.83 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 1.63/1.83 tff(1129,plain,
% 1.63/1.83 ($false),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1128, 102, 1122, 4, 60, 91, 125])).
% 1.63/1.83 tff(1130,plain,((~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(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(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.83 tff(1131,plain,
% 1.63/1.83 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1130, 1116, 91, 1076, 1, 905, 5, 56, 57, 699])).
% 1.63/1.83 tff(1132,plain,
% 1.63/1.83 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[341, 1131])).
% 1.63/1.83 tff(1133,plain,
% 1.63/1.83 (((~![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(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(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(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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1134,plain,
% 1.63/1.83 (((~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(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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1135,plain,
% 1.63/1.83 (((~![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(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(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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))))),
% 1.63/1.83 inference(monotonicity,[status(thm)],[1134])).
% 1.63/1.83 tff(1136,plain,
% 1.63/1.83 (((~![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(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(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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.63/1.83 inference(transitivity,[status(thm)],[1135, 1133])).
% 1.63/1.83 tff(1137,plain,
% 1.63/1.83 ((~![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(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))))))))),
% 1.63/1.83 inference(quant_inst,[status(thm)],[])).
% 1.63/1.83 tff(1138,plain,
% 1.63/1.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))),
% 1.63/1.83 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 1.63/1.83 tff(1139,plain,
% 1.63/1.83 ($false),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1138, 17, 5, 2, 1, 90, 305])).
% 1.63/1.83 tff(1140,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(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.83 tff(1141,plain,
% 1.63/1.83 (~r(z, s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1140, 1132, 905, 1, 5])).
% 1.63/1.83 tff(1142,plain,
% 1.63/1.83 (b(z, s(s(s(s(s(z))))))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[557, 1141])).
% 1.63/1.83 tff(1143,plain,
% 1.63/1.83 (~b(s(z), z)),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[1112, 102, 1142, 57, 1078, 91, 1076])).
% 1.63/1.83 tff(1144,plain,
% 1.63/1.83 (r(s(z), z)),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[380, 1143])).
% 1.63/1.83 tff(1145,plain,
% 1.63/1.83 (~r(z, s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[76, 1144, 58, 67])).
% 1.63/1.83 tff(1146,plain,
% 1.63/1.83 (b(z, s(z))),
% 1.63/1.83 inference(unit_resolution,[status(thm)],[88, 1145])).
% 1.63/1.83 tff(1147,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1148,plain,
% 1.63/1.83 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(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(s(s(s(s(s(s(z)))))), z))) <=> ((~b(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))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.63/1.83 inference(rewrite,[status(thm)],[])).
% 1.63/1.83 tff(1149,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), 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)))))))))),
% 1.63/1.83 inference(monotonicity,[status(thm)],[1148])).
% 1.63/1.83 tff(1150,plain,
% 1.63/1.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), 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))))))))),
% 1.63/1.83 inference(transitivity,[status(thm)],[1149, 1147])).
% 1.63/1.83 tff(1151,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 1.63/1.83 inference(quant_inst,[status(thm)],[])).
% 1.63/1.83 tff(1152,plain,
% 1.63/1.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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)))))))),
% 1.63/1.83 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 1.63/1.83 tff(1153,plain,
% 1.63/1.83 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1152, 102, 1142, 56, 1116, 57])).
% 1.63/1.84 tff(1154,plain,
% 1.63/1.84 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[361, 1153])).
% 1.63/1.84 tff(1155,plain,
% 1.63/1.84 (((~![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(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(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(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(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1156,plain,
% 1.63/1.84 (((~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(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(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1157,plain,
% 1.63/1.84 (((~![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(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(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(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 1.63/1.84 inference(monotonicity,[status(thm)],[1156])).
% 1.63/1.84 tff(1158,plain,
% 1.63/1.84 (((~![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(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(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(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.63/1.84 inference(transitivity,[status(thm)],[1157, 1155])).
% 1.63/1.84 tff(1159,plain,
% 1.63/1.84 ((~![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(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))))))))),
% 1.63/1.84 inference(quant_inst,[status(thm)],[])).
% 1.63/1.84 tff(1160,plain,
% 1.63/1.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.63/1.84 inference(modus_ponens,[status(thm)],[1159, 1158])).
% 1.63/1.84 tff(1161,plain,
% 1.63/1.84 ($false),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1160, 17, 780, 5, 67, 393, 64])).
% 1.63/1.84 tff(1162,plain,((~r(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(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.84 tff(1163,plain,
% 1.63/1.84 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1162, 1154, 699, 67, 5])).
% 1.63/1.84 tff(1164,plain,
% 1.63/1.84 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[409, 1163])).
% 1.63/1.84 tff(1165,plain,
% 1.63/1.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, 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)))))))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1166,plain,
% 1.63/1.84 (((~b(s(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(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)))))))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1167,plain,
% 1.63/1.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))))))))),
% 1.63/1.84 inference(monotonicity,[status(thm)],[1166])).
% 1.63/1.84 tff(1168,plain,
% 1.63/1.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))))))),
% 1.63/1.84 inference(transitivity,[status(thm)],[1167, 1165])).
% 1.63/1.84 tff(1169,plain,
% 1.63/1.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 1.63/1.84 inference(quant_inst,[status(thm)],[])).
% 1.63/1.84 tff(1170,plain,
% 1.63/1.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 1.63/1.84 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 1.63/1.84 tff(1171,plain,
% 1.63/1.84 ($false),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1170, 102, 1164, 1116, 1146, 1076])).
% 1.63/1.84 tff(1172,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(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(z))))))) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.84 tff(1173,plain,
% 1.63/1.84 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1172, 67, 58, 57, 91, 56, 1])).
% 1.63/1.84 tff(1174,plain,
% 1.63/1.84 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[496, 1173])).
% 1.63/1.84 tff(1175,plain,
% 1.63/1.84 (~r(s(s(z)), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[976, 68, 780, 2])).
% 1.63/1.84 tff(1176,plain,
% 1.63/1.84 (b(s(s(z)), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[195, 1175])).
% 1.63/1.84 tff(1177,plain,
% 1.63/1.84 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[943, 1176, 57, 498, 56, 58, 1])).
% 1.63/1.84 tff(1178,plain,
% 1.63/1.84 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[279, 1177])).
% 1.63/1.84 tff(1179,plain,
% 1.63/1.84 ($false),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1030, 17, 780, 68, 2, 1, 1178])).
% 1.63/1.84 tff(1180,plain,((~r(z, s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.84 tff(1181,plain,
% 1.63/1.84 (~r(z, s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1180, 1174, 905, 1, 57, 699, 56, 58])).
% 1.63/1.84 tff(1182,plain,
% 1.63/1.84 (b(z, s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[88, 1181])).
% 1.63/1.84 tff(1183,plain,
% 1.63/1.84 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[985, 846])).
% 1.63/1.84 tff(1184,plain,
% 1.63/1.84 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[409, 1183])).
% 1.63/1.84 tff(1185,plain,
% 1.63/1.84 ($false),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[993, 17, 58, 67, 1184, 1, 305])).
% 1.63/1.84 tff(1186,plain,((~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(z))) | (~r(z, s(s(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(z, s(z))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.84 tff(1187,plain,
% 1.63/1.84 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1186, 1182, 67, 1, 58, 57, 1174, 91])).
% 1.63/1.84 tff(1188,plain,
% 1.63/1.84 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[341, 1187])).
% 1.63/1.84 tff(1189,plain,
% 1.63/1.84 ($false),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1094, 102, 364, 60, 91, 125])).
% 1.63/1.84 tff(1190,plain,((~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))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.84 tff(1191,plain,
% 1.63/1.84 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1190, 1188, 91, 1076])).
% 1.63/1.84 tff(1192,plain,
% 1.63/1.84 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[361, 1191])).
% 1.63/1.84 tff(1193,plain,
% 1.63/1.84 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[995, 1182, 67, 1, 57, 58, 91, 1174])).
% 1.63/1.84 tff(1194,plain,
% 1.63/1.84 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[279, 1193])).
% 1.63/1.84 tff(1195,plain,
% 1.63/1.84 (~r(z, s(s(s(s(s(z))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[594, 1192, 1, 905, 1194])).
% 1.63/1.84 tff(1196,plain,
% 1.63/1.84 (b(z, s(s(s(s(s(z))))))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[557, 1195])).
% 1.63/1.84 tff(1197,plain,
% 1.63/1.84 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[941, 102, 1196, 1174, 56, 57])).
% 1.63/1.84 tff(1198,plain,
% 1.63/1.84 (r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[252, 1197])).
% 1.63/1.84 tff(1199,plain,
% 1.63/1.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(s(z)))))), 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))))))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1200,plain,
% 1.63/1.84 (((~b(s(s(z)), z)) | (~b(s(z), 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(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(z), z)) | (~b(s(s(z)), 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(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1201,plain,
% 1.63/1.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(z)))))), 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)))))))))),
% 1.63/1.84 inference(monotonicity,[status(thm)],[1200])).
% 1.63/1.84 tff(1202,plain,
% 1.63/1.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(z)))))), 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))))))))),
% 1.63/1.84 inference(transitivity,[status(thm)],[1201, 1199])).
% 1.63/1.84 tff(1203,plain,
% 1.63/1.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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))))))))),
% 1.63/1.84 inference(quant_inst,[status(thm)],[])).
% 1.63/1.84 tff(1204,plain,
% 1.63/1.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.84 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 1.63/1.84 tff(1205,plain,
% 1.63/1.84 ($false),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1204, 102, 498, 56, 60, 91, 363, 125])).
% 1.63/1.84 tff(1206,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(z)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.84 tff(1207,plain,
% 1.63/1.84 (~b(s(z), z)),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[1206, 1188, 56, 91, 1076, 1174])).
% 1.63/1.84 tff(1208,plain,
% 1.63/1.84 (r(s(z), z)),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[380, 1207])).
% 1.63/1.84 tff(1209,plain,
% 1.63/1.84 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[878, 1188, 91, 1076])).
% 1.63/1.84 tff(1210,plain,
% 1.63/1.84 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.84 inference(unit_resolution,[status(thm)],[409, 1209])).
% 1.63/1.84 tff(1211,plain,
% 1.63/1.84 (((~![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), 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)))))), 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(z), 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)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1212,plain,
% 1.63/1.84 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), 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(z), 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)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.63/1.84 inference(rewrite,[status(thm)],[])).
% 1.63/1.84 tff(1213,plain,
% 1.63/1.84 (((~![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), z)) | (~r(s(s(s(s(s(s(z)))))), 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(z), 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)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 1.63/1.85 inference(monotonicity,[status(thm)],[1212])).
% 1.63/1.85 tff(1214,plain,
% 1.63/1.85 (((~![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), z)) | (~r(s(s(s(s(s(s(z)))))), 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(z), 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)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.63/1.85 inference(transitivity,[status(thm)],[1213, 1211])).
% 1.63/1.85 tff(1215,plain,
% 1.63/1.85 ((~![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), z)) | (~r(s(s(s(s(s(s(z)))))), 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))))))))),
% 1.63/1.85 inference(quant_inst,[status(thm)],[])).
% 1.63/1.85 tff(1216,plain,
% 1.63/1.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 1.63/1.85 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 1.63/1.85 tff(1217,plain,
% 1.63/1.85 ($false),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1216, 17, 67, 1210, 1208, 1198, 1192])).
% 1.63/1.85 tff(1218,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.85 tff(1219,plain,
% 1.63/1.85 (~r(s(s(s(s(s(z))))), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1218, 1, 57, 56, 91, 58])).
% 1.63/1.85 tff(1220,plain,
% 1.63/1.85 (b(s(s(s(s(s(z))))), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[303, 1219])).
% 1.63/1.85 tff(1221,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), 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(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1222,plain,
% 1.63/1.85 (((~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(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)), 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(s(s(s(z))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1223,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.63/1.85 inference(monotonicity,[status(thm)],[1222])).
% 1.63/1.85 tff(1224,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(transitivity,[status(thm)],[1223, 1221])).
% 1.63/1.85 tff(1225,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 1.63/1.85 inference(quant_inst,[status(thm)],[])).
% 1.63/1.85 tff(1226,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 1.63/1.85 tff(1227,plain,
% 1.63/1.85 ($false),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1226, 102, 168, 343, 57, 91])).
% 1.63/1.85 tff(1228,plain,((~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(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.85 tff(1229,plain,
% 1.63/1.85 (~b(s(s(z)), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1228, 1220, 57, 91])).
% 1.63/1.85 tff(1230,plain,
% 1.63/1.85 (r(s(s(z)), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[195, 1229])).
% 1.63/1.85 tff(1231,plain,
% 1.63/1.85 (~r(z, s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[976, 1230, 699, 905])).
% 1.63/1.85 tff(1232,plain,
% 1.63/1.85 (b(z, s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[88, 1231])).
% 1.63/1.85 tff(1233,plain,
% 1.63/1.85 (~r(z, s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[976, 234, 780, 2])).
% 1.63/1.85 tff(1234,plain,
% 1.63/1.85 (b(z, s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[88, 1233])).
% 1.63/1.85 tff(1235,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1236,plain,
% 1.63/1.85 (((~b(s(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(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), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1237,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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), s(s(s(s(s(z)))))))))),
% 1.63/1.85 inference(monotonicity,[status(thm)],[1236])).
% 1.63/1.85 tff(1238,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(z))) | (~b(z, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(transitivity,[status(thm)],[1237, 1235])).
% 1.63/1.85 tff(1239,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(z))) | (~b(z, s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(quant_inst,[status(thm)],[])).
% 1.63/1.85 tff(1240,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(modus_ponens,[status(thm)],[1239, 1238])).
% 1.63/1.85 tff(1241,plain,
% 1.63/1.85 (~b(z, s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1240, 102, 343, 1234, 91])).
% 1.63/1.85 tff(1242,plain,
% 1.63/1.85 (r(z, s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[557, 1241])).
% 1.63/1.85 tff(1243,plain,
% 1.63/1.85 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1140, 5, 2, 1, 1242])).
% 1.63/1.85 tff(1244,plain,
% 1.63/1.85 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[341, 1243])).
% 1.63/1.85 tff(1245,plain,
% 1.63/1.85 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[856, 5, 780, 234])).
% 1.63/1.85 tff(1246,plain,
% 1.63/1.85 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[409, 1245])).
% 1.63/1.85 tff(1247,plain,
% 1.63/1.85 ($false),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[765, 102, 1246, 343, 1244, 91])).
% 1.63/1.85 tff(1248,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.85 tff(1249,plain,
% 1.63/1.85 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1248, 1220, 91, 699, 1230, 905, 1])).
% 1.63/1.85 tff(1250,plain,
% 1.63/1.85 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[496, 1249])).
% 1.63/1.85 tff(1251,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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)))) | (~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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1252,plain,
% 1.63/1.85 (((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(z))) | (~b(s(s(z)), 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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1253,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 1.63/1.85 inference(monotonicity,[status(thm)],[1252])).
% 1.63/1.85 tff(1254,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.63/1.85 inference(transitivity,[status(thm)],[1253, 1251])).
% 1.63/1.85 tff(1255,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.63/1.85 inference(quant_inst,[status(thm)],[])).
% 1.63/1.85 tff(1256,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 1.63/1.85 tff(1257,plain,
% 1.63/1.85 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1256, 102, 1250, 56, 1220, 57, 1232])).
% 1.63/1.85 tff(1258,plain,
% 1.63/1.85 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[341, 1257])).
% 1.63/1.85 tff(1259,plain,
% 1.63/1.85 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[680, 1258, 58, 1])).
% 1.63/1.85 tff(1260,plain,
% 1.63/1.85 (b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[252, 1259])).
% 1.63/1.85 tff(1261,plain,
% 1.63/1.85 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1040, 62, 2, 1])).
% 1.63/1.85 tff(1262,plain,
% 1.63/1.85 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[496, 1261])).
% 1.63/1.85 tff(1263,plain,
% 1.63/1.85 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1052, 1262, 57, 56, 1])).
% 1.63/1.85 tff(1264,plain,
% 1.63/1.85 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[232, 1263])).
% 1.63/1.85 tff(1265,plain,
% 1.63/1.85 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[313, 1264, 305, 62])).
% 1.63/1.85 tff(1266,plain,
% 1.63/1.85 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[361, 1265])).
% 1.63/1.85 tff(1267,plain,
% 1.63/1.85 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[798, 1266, 91, 343])).
% 1.63/1.85 tff(1268,plain,
% 1.63/1.85 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[165, 1267])).
% 1.63/1.85 tff(1269,plain,
% 1.63/1.85 ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[864, 102, 56, 4, 57, 91])).
% 1.63/1.85 tff(1270,plain,
% 1.63/1.85 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1269, 1266])).
% 1.63/1.85 tff(1271,plain,
% 1.63/1.85 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[409, 1270])).
% 1.63/1.85 tff(1272,plain,
% 1.63/1.85 ($false),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[757, 1271, 1268, 343, 91, 62, 56, 1])).
% 1.63/1.85 tff(1273,plain,((~r(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(z))))))) | (~b(s(s(z)), 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(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.85 tff(1274,plain,
% 1.63/1.85 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1273, 1260, 91, 56, 1, 1220, 57, 1258, 905])).
% 1.63/1.85 tff(1275,plain,
% 1.63/1.85 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[279, 1274])).
% 1.63/1.85 tff(1276,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(s(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1277,plain,
% 1.63/1.85 (((~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(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)))))), 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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(rewrite,[status(thm)],[])).
% 1.63/1.85 tff(1278,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 1.63/1.85 inference(monotonicity,[status(thm)],[1277])).
% 1.63/1.85 tff(1279,plain,
% 1.63/1.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.63/1.85 inference(transitivity,[status(thm)],[1278, 1276])).
% 1.63/1.85 tff(1280,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.63/1.85 inference(quant_inst,[status(thm)],[])).
% 1.63/1.85 tff(1281,plain,
% 1.63/1.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(modus_ponens,[status(thm)],[1280, 1279])).
% 1.63/1.85 tff(1282,plain,
% 1.63/1.85 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1281, 102, 1250, 1260, 57, 1275])).
% 1.63/1.85 tff(1283,plain,
% 1.63/1.85 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[361, 1282])).
% 1.63/1.85 tff(1284,plain,
% 1.63/1.85 (~b(z, s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1240, 102, 1220, 1232, 91])).
% 1.63/1.85 tff(1285,plain,
% 1.63/1.85 (r(z, s(s(s(s(s(z))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[557, 1284])).
% 1.63/1.85 tff(1286,plain,
% 1.63/1.85 ($false),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[640, 17, 1, 1285, 1258, 1283])).
% 1.63/1.85 tff(1287,plain,((~r(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(z))))))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.85 tff(1288,plain,
% 1.63/1.85 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.63/1.85 inference(unit_resolution,[status(thm)],[1287, 56, 91, 57, 58])).
% 1.63/1.86 tff(1289,plain,
% 1.63/1.86 (b(z, s(s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[538, 1288])).
% 1.63/1.86 tff(1290,plain,
% 1.63/1.86 (~b(s(z), s(s(z)))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[690, 56, 91, 58, 57])).
% 1.63/1.86 tff(1291,plain,
% 1.63/1.86 (r(s(z), s(s(z)))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[698, 1290])).
% 1.63/1.86 tff(1292,plain,
% 1.63/1.86 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1287, 91, 57, 56, 58])).
% 1.63/1.86 tff(1293,plain,
% 1.63/1.86 (b(z, s(s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[538, 1292])).
% 1.63/1.86 tff(1294,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))) | (~b(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(X0, 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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1295,plain,
% 1.63/1.86 (((~b(s(s(z)), 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)))))))) | (~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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1296,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.63/1.86 inference(monotonicity,[status(thm)],[1295])).
% 1.63/1.86 tff(1297,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(transitivity,[status(thm)],[1296, 1294])).
% 1.63/1.86 tff(1298,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))),
% 1.63/1.86 inference(quant_inst,[status(thm)],[])).
% 1.63/1.86 tff(1299,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.63/1.86 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 1.63/1.86 tff(1300,plain,
% 1.63/1.86 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1299, 102, 498, 56, 1293])).
% 1.63/1.86 tff(1301,plain,
% 1.63/1.86 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[279, 1300])).
% 1.63/1.86 tff(1302,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(X0, 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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1303,plain,
% 1.63/1.86 (((~b(z, s(s(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(z)))) | (~b(z, s(s(z)))) | (~b(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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1304,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.63/1.86 inference(monotonicity,[status(thm)],[1303])).
% 1.63/1.86 tff(1305,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(transitivity,[status(thm)],[1304, 1302])).
% 1.63/1.86 tff(1306,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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)))))))))),
% 1.63/1.86 inference(quant_inst,[status(thm)],[])).
% 1.63/1.86 tff(1307,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.63/1.86 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 1.63/1.86 tff(1308,plain,
% 1.63/1.86 (~b(z, s(s(z)))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1307, 102, 498, 56, 1293])).
% 1.63/1.86 tff(1309,plain,
% 1.63/1.86 (r(z, s(s(z)))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[122, 1308])).
% 1.63/1.86 tff(1310,plain,
% 1.63/1.86 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1050, 102, 540, 56, 57])).
% 1.63/1.86 tff(1311,plain,
% 1.63/1.86 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[232, 1310])).
% 1.63/1.86 tff(1312,plain,
% 1.63/1.86 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[313, 1311, 62, 305])).
% 1.63/1.86 tff(1313,plain,
% 1.63/1.86 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[361, 1312])).
% 1.63/1.86 tff(1314,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1315,plain,
% 1.63/1.86 (((~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(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(z)), z)) | (~b(z, s(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(s(z)))))), s(s(s(s(s(z))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1316,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z)))))))))),
% 1.63/1.86 inference(monotonicity,[status(thm)],[1315])).
% 1.63/1.86 tff(1317,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z))))))))),
% 1.63/1.86 inference(transitivity,[status(thm)],[1316, 1314])).
% 1.63/1.86 tff(1318,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.63/1.86 inference(quant_inst,[status(thm)],[])).
% 1.63/1.86 tff(1319,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(modus_ponens,[status(thm)],[1318, 1317])).
% 1.63/1.86 tff(1320,plain,
% 1.63/1.86 ($false),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1319, 102, 540, 498, 56, 1313, 57])).
% 1.63/1.86 tff(1321,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(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))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.86 tff(1322,plain,
% 1.63/1.86 (~b(z, s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1321, 305, 56, 57, 1301, 498])).
% 1.63/1.86 tff(1323,plain,
% 1.63/1.86 (r(z, s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[557, 1322])).
% 1.63/1.86 tff(1324,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(X0, 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(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1325,plain,
% 1.63/1.86 (((~b(s(s(s(s(s(s(z)))))), 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)), 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1326,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.63/1.86 inference(monotonicity,[status(thm)],[1325])).
% 1.63/1.86 tff(1327,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.86 inference(transitivity,[status(thm)],[1326, 1324])).
% 1.63/1.86 tff(1328,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 1.63/1.86 inference(quant_inst,[status(thm)],[])).
% 1.63/1.86 tff(1329,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.63/1.86 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 1.63/1.86 tff(1330,plain,
% 1.63/1.86 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1329, 102, 498, 56, 1293])).
% 1.63/1.86 tff(1331,plain,
% 1.63/1.86 (r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[252, 1330])).
% 1.63/1.86 tff(1332,plain,
% 1.63/1.86 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[727, 17, 58, 1331, 1323])).
% 1.63/1.86 tff(1333,plain,
% 1.63/1.86 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[361, 1332])).
% 1.63/1.86 tff(1334,plain,
% 1.63/1.86 ($false),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1072, 102, 498, 168, 364, 57, 91])).
% 1.63/1.86 tff(1335,plain,((~b(s(s(z)), 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(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.86 tff(1336,plain,
% 1.63/1.86 (~b(s(s(z)), s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1335, 1333, 498, 57, 91])).
% 1.63/1.86 tff(1337,plain,
% 1.63/1.86 (r(s(s(z)), s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[195, 1336])).
% 1.63/1.86 tff(1338,plain,
% 1.63/1.86 (~r(z, s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[976, 1337, 699, 1309])).
% 1.63/1.86 tff(1339,plain,
% 1.63/1.86 (b(z, s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[88, 1338])).
% 1.63/1.86 tff(1340,plain,
% 1.63/1.86 (((~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(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(z)), s(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(s(z)))))), s(s(s(s(s(z))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1341,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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))))))) | (~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(X0, 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(s(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(s(z)))))))))),
% 1.63/1.86 inference(monotonicity,[status(thm)],[1340])).
% 1.63/1.86 tff(1342,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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))))))) | (~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(X0, 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(s(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(s(z))))))))),
% 1.63/1.86 inference(transitivity,[status(thm)],[1341, 619])).
% 1.63/1.86 tff(1343,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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))))))) | (~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)))))),
% 1.63/1.86 inference(quant_inst,[status(thm)],[])).
% 1.63/1.86 tff(1344,plain,
% 1.63/1.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 1.63/1.86 tff(1345,plain,
% 1.63/1.86 ($false),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1344, 102, 498, 364, 57, 197])).
% 1.63/1.86 tff(1346,plain,((~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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.86 tff(1347,plain,
% 1.63/1.86 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1346, 364, 498, 57])).
% 1.63/1.86 tff(1348,plain,
% 1.63/1.86 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[232, 1347])).
% 1.63/1.86 tff(1349,plain,
% 1.63/1.86 (~b(s(s(z)), s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[1335, 364, 498, 57, 91])).
% 1.63/1.86 tff(1350,plain,
% 1.63/1.86 (r(s(s(z)), s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[195, 1349])).
% 1.63/1.86 tff(1351,plain,
% 1.63/1.86 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[433, 425, 124, 382])).
% 1.63/1.86 tff(1352,plain,
% 1.63/1.86 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[165, 1351])).
% 1.63/1.86 tff(1353,plain,
% 1.63/1.86 (~r(s(s(s(s(s(z))))), s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[288, 1352, 1350, 1348, 62])).
% 1.63/1.86 tff(1354,plain,
% 1.63/1.86 (b(s(s(s(s(s(z))))), s(z))),
% 1.63/1.86 inference(unit_resolution,[status(thm)],[303, 1353])).
% 1.63/1.86 tff(1355,plain,
% 1.63/1.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(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(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(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(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.86 inference(rewrite,[status(thm)],[])).
% 1.63/1.86 tff(1356,plain,
% 1.63/1.86 (((~b(s(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(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(z))))), 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))))), 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))))))))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1357,plain,
% 1.63/1.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(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(X0, 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(s(z)))))), s(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(s(z), s(s(s(s(s(z)))))))))),
% 1.63/1.87 inference(monotonicity,[status(thm)],[1356])).
% 1.63/1.87 tff(1358,plain,
% 1.63/1.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(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(X0, 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(s(z)))))), s(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(s(z), s(s(s(s(s(z))))))))),
% 1.63/1.87 inference(transitivity,[status(thm)],[1357, 1355])).
% 1.63/1.87 tff(1359,plain,
% 1.63/1.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.63/1.87 inference(quant_inst,[status(thm)],[])).
% 1.63/1.87 tff(1360,plain,
% 1.63/1.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.63/1.87 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 1.63/1.87 tff(1361,plain,
% 1.63/1.87 ($false),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1360, 102, 425, 498, 1354, 364, 57, 91])).
% 1.63/1.87 tff(1362,plain,((~b(s(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(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.87 tff(1363,plain,
% 1.63/1.87 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1362, 1333, 498, 57, 91, 1301, 1293, 1339])).
% 1.63/1.87 tff(1364,plain,
% 1.63/1.87 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[409, 1363])).
% 1.63/1.87 tff(1365,plain,
% 1.63/1.87 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1346, 1333, 498, 57])).
% 1.63/1.87 tff(1366,plain,
% 1.63/1.87 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[232, 1365])).
% 1.63/1.87 tff(1367,plain,
% 1.63/1.87 (((~![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)), 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))))))) | (~r(s(s(s(s(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(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))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1368,plain,
% 1.63/1.87 (((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), 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(z)), 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))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1369,plain,
% 1.63/1.87 (((~![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(z))) | (~r(s(s(z)), 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(z)), 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))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.63/1.87 inference(monotonicity,[status(thm)],[1368])).
% 1.63/1.87 tff(1370,plain,
% 1.63/1.87 (((~![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(z))) | (~r(s(s(z)), 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(z)), 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))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.63/1.87 inference(transitivity,[status(thm)],[1369, 1367])).
% 1.63/1.87 tff(1371,plain,
% 1.63/1.87 ((~![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(z))) | (~r(s(s(z)), 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))))))))),
% 1.63/1.87 inference(quant_inst,[status(thm)],[])).
% 1.63/1.87 tff(1372,plain,
% 1.63/1.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.63/1.87 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 1.63/1.87 tff(1373,plain,
% 1.63/1.87 ($false),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1372, 17, 1337, 1366, 1364, 1301, 305])).
% 1.63/1.87 tff(1374,plain,((~r(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(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.87 tff(1375,plain,
% 1.63/1.87 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1374, 498, 57, 91, 58, 56])).
% 1.63/1.87 tff(1376,plain,
% 1.63/1.87 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[341, 1375])).
% 1.63/1.87 tff(1377,plain,
% 1.63/1.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1378,plain,
% 1.63/1.87 (((~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(z)), 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(z)), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1379,plain,
% 1.63/1.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(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(z, s(s(s(s(s(s(z))))))))))),
% 1.63/1.87 inference(monotonicity,[status(thm)],[1378])).
% 1.63/1.87 tff(1380,plain,
% 1.63/1.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(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(z, s(s(s(s(s(s(z)))))))))),
% 1.63/1.87 inference(transitivity,[status(thm)],[1379, 1377])).
% 1.63/1.87 tff(1381,plain,
% 1.63/1.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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)))))))))),
% 1.63/1.87 inference(quant_inst,[status(thm)],[])).
% 1.63/1.87 tff(1382,plain,
% 1.63/1.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.63/1.87 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 1.63/1.87 tff(1383,plain,
% 1.63/1.87 ($false),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1382, 102, 498, 56, 57, 1293, 1376])).
% 1.63/1.87 tff(1384,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.87 tff(1385,plain,
% 1.63/1.87 (~b(s(s(z)), z)),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1384, 498, 91, 57, 58])).
% 1.63/1.87 tff(1386,assumption,(~r(s(s(z)), z)), introduced(assumption)).
% 1.63/1.87 tff(1387,assumption,(~b(s(s(z)), z)), introduced(assumption)).
% 1.63/1.87 tff(1388,plain,
% 1.63/1.87 (((~![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))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1389,plain,
% 1.63/1.87 ((~![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))),
% 1.63/1.87 inference(quant_inst,[status(thm)],[])).
% 1.63/1.87 tff(1390,plain,
% 1.63/1.87 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(z)) = z) | b(s(s(z)), z) | r(s(s(z)), z)),
% 1.63/1.87 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 1.63/1.87 tff(1391,plain,
% 1.63/1.87 ($false),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1390, 49, 116, 1387, 1386])).
% 1.63/1.87 tff(1392,plain,(r(s(s(z)), z) | b(s(s(z)), z)), inference(lemma,lemma(discharge,[]))).
% 1.63/1.87 tff(1393,plain,
% 1.63/1.87 (r(s(s(z)), z)),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1392, 1385])).
% 1.63/1.87 tff(1394,plain,
% 1.63/1.87 (~r(s(s(s(s(s(z))))), s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[76, 68, 58, 59])).
% 1.63/1.87 tff(1395,plain,
% 1.63/1.87 (b(s(s(s(s(s(z))))), s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[303, 1394])).
% 1.63/1.87 tff(1396,plain,
% 1.63/1.87 (((~![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)), s(z))) | (~r(z, s(z))) | (~r(s(z), 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)), s(z))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1397,plain,
% 1.63/1.87 (((~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1398,plain,
% 1.63/1.87 (((~![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(z))) | (~r(s(s(z)), 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)), s(z))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z))))),
% 1.63/1.87 inference(monotonicity,[status(thm)],[1397])).
% 1.63/1.87 tff(1399,plain,
% 1.63/1.87 (((~![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(z))) | (~r(s(s(z)), 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)), s(z))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)))),
% 1.63/1.87 inference(transitivity,[status(thm)],[1398, 1396])).
% 1.63/1.87 tff(1400,plain,
% 1.63/1.87 ((~![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(z))) | (~r(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))),
% 1.63/1.87 inference(quant_inst,[status(thm)],[])).
% 1.63/1.87 tff(1401,plain,
% 1.63/1.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z))),
% 1.63/1.87 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 1.63/1.87 tff(1402,plain,
% 1.63/1.87 ($false),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1401, 17, 234, 68, 59, 65])).
% 1.63/1.87 tff(1403,plain,((~r(s(z), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.87 tff(1404,plain,
% 1.63/1.87 (~r(s(s(z)), s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1403, 68, 59, 65])).
% 1.63/1.87 tff(1405,plain,
% 1.63/1.87 (b(s(s(z)), s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[195, 1404])).
% 1.63/1.87 tff(1406,plain,
% 1.63/1.87 ($false),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1228, 1405, 1395, 57, 91])).
% 1.63/1.87 tff(1407,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.87 tff(1408,plain,
% 1.63/1.87 (~r(z, s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[1407, 1393, 91, 59, 57, 58])).
% 1.63/1.87 tff(1409,plain,
% 1.63/1.87 (b(z, s(z))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[88, 1408])).
% 1.63/1.87 tff(1410,plain,
% 1.63/1.87 (~b(s(z), s(s(z)))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[176, 168, 57, 91])).
% 1.63/1.87 tff(1411,plain,
% 1.63/1.87 (r(s(z), s(s(z)))),
% 1.63/1.87 inference(unit_resolution,[status(thm)],[698, 1410])).
% 1.63/1.87 tff(1412,plain,
% 1.63/1.87 (((~![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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), 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(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(z)))))),
% 1.63/1.87 inference(rewrite,[status(thm)],[])).
% 1.63/1.87 tff(1413,plain,
% 1.63/1.88 (((~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(z)))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1414,plain,
% 1.63/1.88 (((~![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(z)))) | (~r(s(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(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(z))))))),
% 1.63/1.88 inference(monotonicity,[status(thm)],[1413])).
% 1.63/1.88 tff(1415,plain,
% 1.63/1.88 (((~![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(z)))) | (~r(s(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(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(z)))))),
% 1.63/1.88 inference(transitivity,[status(thm)],[1414, 1412])).
% 1.63/1.88 tff(1416,plain,
% 1.63/1.88 ((~![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(z)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(z), s(s(z)))))),
% 1.63/1.88 inference(quant_inst,[status(thm)],[])).
% 1.63/1.88 tff(1417,plain,
% 1.63/1.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(z))))),
% 1.63/1.88 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 1.63/1.88 tff(1418,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1417, 17, 780, 59, 65, 2])).
% 1.63/1.88 tff(1419,plain,((~r(s(s(z)), z)) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1420,plain,
% 1.63/1.88 (~r(z, s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1419, 1411, 59, 65])).
% 1.63/1.88 tff(1421,plain,
% 1.63/1.88 (b(z, s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[122, 1420])).
% 1.63/1.88 tff(1422,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[830, 102, 1421, 168, 57, 382, 91])).
% 1.63/1.88 tff(1423,plain,((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1424,plain,
% 1.63/1.88 (~b(s(s(z)), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1423, 1409, 57, 91, 59, 1393])).
% 1.63/1.88 tff(1425,plain,
% 1.63/1.88 (r(s(s(z)), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[195, 1424])).
% 1.63/1.88 tff(1426,plain,
% 1.63/1.88 (((~![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(z)), s(z))) | (~r(s(z), 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))))))))) <=> ((~![X0: $i, X3: $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(z), 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))))))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1427,plain,
% 1.63/1.88 (((~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)), s(z))) | (~r(s(z), 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))))))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1428,plain,
% 1.63/1.88 (((~![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(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)), s(z))) | (~r(s(z), 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)))))))))),
% 1.63/1.88 inference(monotonicity,[status(thm)],[1427])).
% 1.63/1.88 tff(1429,plain,
% 1.63/1.88 (((~![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(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)), s(z))) | (~r(s(z), 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))))))))),
% 1.63/1.88 inference(transitivity,[status(thm)],[1428, 1426])).
% 1.63/1.88 tff(1430,plain,
% 1.63/1.88 ((~![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(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))))))))),
% 1.63/1.88 inference(quant_inst,[status(thm)],[])).
% 1.63/1.88 tff(1431,plain,
% 1.63/1.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 1.63/1.88 tff(1432,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1431, 17, 234, 67, 235, 59, 65])).
% 1.63/1.88 tff(1433,plain,((~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(z), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1434,plain,
% 1.63/1.88 (~r(s(s(s(s(s(z))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1433, 1348, 59, 65, 234])).
% 1.63/1.88 tff(1435,plain,
% 1.63/1.88 (b(s(s(s(s(s(z))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[303, 1434])).
% 1.63/1.88 tff(1436,plain,
% 1.63/1.88 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[798, 1435, 91, 364])).
% 1.63/1.88 tff(1437,plain,
% 1.63/1.88 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[165, 1436])).
% 1.63/1.88 tff(1438,plain,
% 1.63/1.88 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1360, 102, 498, 1435, 364, 57, 91])).
% 1.63/1.88 tff(1439,plain,
% 1.63/1.88 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[409, 1438])).
% 1.63/1.88 tff(1440,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[527, 17, 234, 393, 62, 167])).
% 1.63/1.88 tff(1441,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1442,plain,
% 1.63/1.88 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1441, 1439, 234, 1437])).
% 1.63/1.88 tff(1443,plain,
% 1.63/1.88 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[279, 1442])).
% 1.63/1.88 tff(1444,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[921, 102, 498, 364, 57, 1443])).
% 1.63/1.88 tff(1445,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(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1446,plain,
% 1.63/1.88 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1445, 498, 57, 1425, 91, 59, 1393])).
% 1.63/1.88 tff(1447,plain,
% 1.63/1.88 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[361, 1446])).
% 1.63/1.88 tff(1448,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[727, 17, 58, 63, 90, 64])).
% 1.63/1.88 tff(1449,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(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,[]))).
% 1.63/1.88 tff(1450,plain,
% 1.63/1.88 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1449, 1447, 90, 58])).
% 1.63/1.88 tff(1451,plain,
% 1.63/1.88 (b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[252, 1450])).
% 1.63/1.88 tff(1452,plain,
% 1.63/1.88 ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[984, 102, 498, 57, 1409, 91])).
% 1.63/1.88 tff(1453,plain,
% 1.63/1.88 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1452, 1451])).
% 1.63/1.88 tff(1454,plain,
% 1.63/1.88 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[409, 1453])).
% 1.63/1.88 tff(1455,plain,
% 1.63/1.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), 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(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1456,plain,
% 1.63/1.88 (((~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(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(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(s(z)))))))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1457,plain,
% 1.63/1.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.63/1.88 inference(monotonicity,[status(thm)],[1456])).
% 1.63/1.88 tff(1458,plain,
% 1.63/1.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.63/1.88 inference(transitivity,[status(thm)],[1457, 1455])).
% 1.63/1.88 tff(1459,plain,
% 1.63/1.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 1.63/1.88 inference(quant_inst,[status(thm)],[])).
% 1.63/1.88 tff(1460,plain,
% 1.63/1.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.63/1.88 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 1.63/1.88 tff(1461,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1460, 102, 66, 498, 4, 254])).
% 1.63/1.88 tff(1462,plain,((~b(s(s(z)), s(s(s(s(s(s(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))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1463,plain,
% 1.63/1.88 (~b(z, s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1462, 254, 498, 4])).
% 1.63/1.88 tff(1464,plain,
% 1.63/1.88 (r(z, s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[122, 1463])).
% 1.63/1.88 tff(1465,plain,
% 1.63/1.88 (~b(s(z), s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[506, 254, 57, 498, 91])).
% 1.63/1.88 tff(1466,plain,
% 1.63/1.88 (r(s(z), s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[698, 1465])).
% 1.63/1.88 tff(1467,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1419, 1466, 1464, 59, 65])).
% 1.63/1.88 tff(1468,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(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(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1469,plain,
% 1.63/1.88 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1468, 1451, 1393, 57, 498, 91, 59])).
% 1.63/1.88 tff(1470,plain,
% 1.63/1.88 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[279, 1469])).
% 1.63/1.88 tff(1471,plain,
% 1.63/1.88 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1441, 1470, 1425, 1454])).
% 1.63/1.88 tff(1472,plain,
% 1.63/1.88 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[165, 1471])).
% 1.63/1.88 tff(1473,plain,
% 1.63/1.88 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[455, 1472, 1451, 1409])).
% 1.63/1.88 tff(1474,plain,
% 1.63/1.88 (r(z, s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[538, 1473])).
% 1.63/1.88 tff(1475,plain,
% 1.63/1.88 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[642, 1474, 57, 498, 90])).
% 1.63/1.88 tff(1476,plain,
% 1.63/1.88 (((~![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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(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)))))))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1477,plain,
% 1.63/1.88 (((~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(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(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)))))))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1478,plain,
% 1.63/1.88 (((~![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(s(z)))))))) | (~r(s(s(z)), s(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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(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))))))))))),
% 1.63/1.88 inference(monotonicity,[status(thm)],[1477])).
% 1.63/1.88 tff(1479,plain,
% 1.63/1.88 (((~![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(s(z)))))))) | (~r(s(s(z)), s(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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(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)))))))))),
% 1.63/1.88 inference(transitivity,[status(thm)],[1478, 1476])).
% 1.63/1.88 tff(1480,plain,
% 1.63/1.88 ((~![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(s(z)))))))) | (~r(s(s(z)), s(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))))))))),
% 1.63/1.88 inference(quant_inst,[status(thm)],[])).
% 1.63/1.88 tff(1481,plain,
% 1.63/1.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.63/1.88 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 1.63/1.88 tff(1482,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1481, 17, 58, 235, 65, 1, 62])).
% 1.63/1.88 tff(1483,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1484,plain,
% 1.63/1.88 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1483, 1474, 58, 1393, 1470])).
% 1.63/1.88 tff(1485,plain,
% 1.63/1.88 ($false),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[232, 1484, 1475])).
% 1.63/1.88 tff(1486,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.88 tff(1487,plain,
% 1.63/1.88 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1486, 57, 58, 90, 91, 59])).
% 1.63/1.88 tff(1488,plain,
% 1.63/1.88 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[496, 1487])).
% 1.63/1.88 tff(1489,plain,
% 1.63/1.88 (~b(s(s(s(s(s(z))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[1228, 168, 57, 91])).
% 1.63/1.88 tff(1490,plain,
% 1.63/1.88 (r(s(s(s(s(s(z))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[303, 1489])).
% 1.63/1.88 tff(1491,plain,
% 1.63/1.88 (~r(z, s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[76, 1490, 58, 59])).
% 1.63/1.88 tff(1492,plain,
% 1.63/1.88 (b(z, s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[88, 1491])).
% 1.63/1.88 tff(1493,plain,
% 1.63/1.88 (~b(z, s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[842, 1490, 56, 58, 168, 57, 91])).
% 1.63/1.88 tff(1494,plain,
% 1.63/1.88 (r(z, s(s(z)))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[122, 1493])).
% 1.63/1.88 tff(1495,plain,
% 1.63/1.88 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[401, 63, 5, 2, 59])).
% 1.63/1.88 tff(1496,plain,
% 1.63/1.88 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[409, 1495])).
% 1.63/1.88 tff(1497,plain,
% 1.63/1.88 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[433, 1496, 382, 124])).
% 1.63/1.88 tff(1498,plain,
% 1.63/1.88 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.88 inference(unit_resolution,[status(thm)],[165, 1497])).
% 1.63/1.88 tff(1499,plain,
% 1.63/1.88 (((~![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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(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(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1500,plain,
% 1.63/1.88 (((~r(z, s(s(z)))) | (~r(s(z), 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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.88 inference(rewrite,[status(thm)],[])).
% 1.63/1.88 tff(1501,plain,
% 1.63/1.88 (((~![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(z)))) | (~r(s(z), 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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))))),
% 1.63/1.88 inference(monotonicity,[status(thm)],[1500])).
% 1.63/1.88 tff(1502,plain,
% 1.63/1.88 (((~![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(z)))) | (~r(s(z), 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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.63/1.88 inference(transitivity,[status(thm)],[1501, 1499])).
% 1.63/1.88 tff(1503,plain,
% 1.63/1.88 ((~![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(z)))) | (~r(s(z), 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)))))))))),
% 1.63/1.89 inference(quant_inst,[status(thm)],[])).
% 1.63/1.89 tff(1504,plain,
% 1.63/1.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 1.63/1.89 tff(1505,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1504, 17, 780, 59, 63, 2, 1498])).
% 1.63/1.89 tff(1506,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1507,plain,
% 1.63/1.89 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1506, 1494, 59, 1291, 1492, 1289, 5])).
% 1.63/1.89 tff(1508,plain,
% 1.63/1.89 (b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[252, 1507])).
% 1.63/1.89 tff(1509,plain,
% 1.63/1.89 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[455, 1508, 1289, 1492])).
% 1.63/1.89 tff(1510,plain,
% 1.63/1.89 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[165, 1509])).
% 1.63/1.89 tff(1511,plain,
% 1.63/1.89 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[262, 1508, 56, 1289])).
% 1.63/1.89 tff(1512,plain,
% 1.63/1.89 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[279, 1511])).
% 1.63/1.89 tff(1513,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[901, 17, 1291, 5, 1512, 1510])).
% 1.63/1.89 tff(1514,plain,((~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1515,plain,
% 1.63/1.89 (~b(s(s(z)), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1514, 56, 1488, 59, 58, 57, 91])).
% 1.63/1.89 tff(1516,plain,
% 1.63/1.89 (r(s(s(z)), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[195, 1515])).
% 1.63/1.89 tff(1517,plain,
% 1.63/1.89 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[856, 1516, 1488, 1291])).
% 1.63/1.89 tff(1518,plain,
% 1.63/1.89 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[409, 1517])).
% 1.63/1.89 tff(1519,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[476, 102, 425, 343, 364, 91])).
% 1.63/1.89 tff(1520,plain,((~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(z))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1521,plain,
% 1.63/1.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1520, 1395, 1518, 91])).
% 1.63/1.89 tff(1522,plain,
% 1.63/1.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[361, 1521])).
% 1.63/1.89 tff(1523,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[241, 17, 58, 5, 63, 2, 64])).
% 1.63/1.89 tff(1524,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1525,plain,
% 1.63/1.89 (~r(z, s(s(z)))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1524, 63, 5, 58, 64])).
% 1.63/1.89 tff(1526,plain,
% 1.63/1.89 (b(z, s(s(z)))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[122, 1525])).
% 1.63/1.89 tff(1527,plain,
% 1.63/1.89 (~b(z, s(s(s(s(s(z))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[719, 1526, 57, 56])).
% 1.63/1.89 tff(1528,plain,
% 1.63/1.89 (r(z, s(s(s(s(s(z))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[557, 1527])).
% 1.63/1.89 tff(1529,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[727, 17, 58, 63, 1528, 64])).
% 1.63/1.89 tff(1530,plain,((~r(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))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1531,plain,
% 1.63/1.89 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1530, 1522, 58, 57, 56, 1488])).
% 1.63/1.89 tff(1532,plain,
% 1.63/1.89 (b(s(s(s(s(s(s(z)))))), z)),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[252, 1531])).
% 1.63/1.89 tff(1533,plain,
% 1.63/1.89 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[262, 1532, 56, 1289])).
% 1.63/1.89 tff(1534,plain,
% 1.63/1.89 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[279, 1533])).
% 1.63/1.89 tff(1535,plain,
% 1.63/1.89 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[901, 17, 1291, 1488, 1534])).
% 1.63/1.89 tff(1536,plain,
% 1.63/1.89 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[165, 1535])).
% 1.63/1.89 tff(1537,assumption,(r(s(s(s(s(z)))), z)), introduced(assumption)).
% 1.63/1.89 tff(1538,plain,
% 1.63/1.89 (((~![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(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))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1539,plain,
% 1.63/1.89 (((~r(s(s(s(s(s(z))))), z)) | (~r(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))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~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))))))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1540,plain,
% 1.63/1.89 (((~![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(z))))), z)) | (~r(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))))))) | (~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(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)))))))))),
% 1.63/1.89 inference(monotonicity,[status(thm)],[1539])).
% 1.63/1.89 tff(1541,plain,
% 1.63/1.89 (((~![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(z))))), z)) | (~r(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))))))) | (~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(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))))))))),
% 1.63/1.89 inference(transitivity,[status(thm)],[1540, 1538])).
% 1.63/1.89 tff(1542,plain,
% 1.63/1.89 ((~![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(z))))), z)) | (~r(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))))))) | (~r(s(s(s(s(z)))), z)))),
% 1.63/1.89 inference(quant_inst,[status(thm)],[])).
% 1.63/1.89 tff(1543,plain,
% 1.63/1.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 1.63/1.89 tff(1544,plain,
% 1.63/1.89 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1543, 17, 58, 90, 1537])).
% 1.63/1.89 tff(1545,plain,
% 1.63/1.89 ((s(s(s(s(s(z))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(s(s(z))))))),
% 1.63/1.89 inference(commutativity,[status(thm)],[])).
% 1.63/1.89 tff(1546,plain,
% 1.63/1.89 ((~(s(s(s(s(s(z))))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = s(s(s(s(s(z)))))))),
% 1.63/1.89 inference(monotonicity,[status(thm)],[1545])).
% 1.63/1.89 tff(1547,assumption,(s(s(s(s(s(z))))) = s(s(s(s(z))))), introduced(assumption)).
% 1.63/1.89 tff(1548,plain,
% 1.63/1.89 (s(s(s(s(s(s(z)))))) = s(s(s(s(s(z)))))),
% 1.63/1.89 inference(monotonicity,[status(thm)],[1547])).
% 1.63/1.89 tff(1549,plain,
% 1.63/1.89 (s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))),
% 1.63/1.89 inference(symmetry,[status(thm)],[1548])).
% 1.63/1.89 tff(1550,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[337, 1549])).
% 1.63/1.89 tff(1551,plain,(~(s(s(s(s(s(z))))) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1552,plain,
% 1.63/1.89 (~(s(s(s(s(z)))) = s(s(s(s(s(z))))))),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1551, 1546])).
% 1.63/1.89 tff(1553,plain,
% 1.63/1.89 (((~![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)))))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1554,plain,
% 1.63/1.89 ((~![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)))))))),
% 1.63/1.89 inference(quant_inst,[status(thm)],[])).
% 1.63/1.89 tff(1555,plain,
% 1.63/1.89 ((~![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))))))),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 1.63/1.89 tff(1556,plain,
% 1.63/1.89 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 1544])).
% 1.63/1.89 tff(1557,plain,
% 1.63/1.89 (((~![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(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(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1558,plain,
% 1.63/1.89 (((~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(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1559,plain,
% 1.63/1.89 (((~![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(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(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))))),
% 1.63/1.89 inference(monotonicity,[status(thm)],[1558])).
% 1.63/1.89 tff(1560,plain,
% 1.63/1.89 (((~![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(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(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 1.63/1.89 inference(transitivity,[status(thm)],[1559, 1557])).
% 1.63/1.89 tff(1561,plain,
% 1.63/1.89 ((~![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(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)))),
% 1.63/1.89 inference(quant_inst,[status(thm)],[])).
% 1.63/1.89 tff(1562,plain,
% 1.63/1.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 1.63/1.89 tff(1563,plain,
% 1.63/1.89 (~r(s(s(s(s(z)))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1562, 17, 68, 59, 1537])).
% 1.63/1.89 tff(1564,assumption,(s(s(s(s(z)))) = s(z)), introduced(assumption)).
% 1.63/1.89 tff(1565,plain,
% 1.63/1.89 (inj_0(s(s(s(s(z))))) = inj_0(s(z))),
% 1.63/1.89 inference(monotonicity,[status(thm)],[1564])).
% 1.63/1.89 tff(1566,plain,
% 1.63/1.89 (s(s(s(z))) = z),
% 1.63/1.89 inference(transitivity,[status(thm)],[221, 1565, 146])).
% 1.63/1.89 tff(1567,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[224, 1566])).
% 1.63/1.89 tff(1568,plain,(~(s(s(s(s(z)))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1569,plain,
% 1.63/1.89 (((~![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)))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1570,plain,
% 1.63/1.89 ((~![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)))),
% 1.63/1.89 inference(quant_inst,[status(thm)],[])).
% 1.63/1.89 tff(1571,plain,
% 1.63/1.89 ((~![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))),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 1.63/1.89 tff(1572,plain,
% 1.63/1.89 ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1571, 49])).
% 1.63/1.89 tff(1573,plain,
% 1.63/1.89 (b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1572, 1568])).
% 1.63/1.89 tff(1574,plain,
% 1.63/1.89 (b(s(s(s(s(z)))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1573, 1563])).
% 1.63/1.89 tff(1575,plain,
% 1.63/1.89 (~r(s(s(s(s(s(z))))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[76, 59, 58, 68])).
% 1.63/1.89 tff(1576,plain,
% 1.63/1.89 (b(s(s(s(s(s(z))))), s(z))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[303, 1575])).
% 1.63/1.89 tff(1577,plain,
% 1.63/1.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1578,plain,
% 1.63/1.89 (((~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(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(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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1579,plain,
% 1.63/1.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))), s(z)))))),
% 1.63/1.89 inference(monotonicity,[status(thm)],[1578])).
% 1.63/1.89 tff(1580,plain,
% 1.63/1.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))), s(z))))),
% 1.63/1.89 inference(transitivity,[status(thm)],[1579, 1577])).
% 1.63/1.89 tff(1581,plain,
% 1.63/1.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 1.63/1.89 inference(quant_inst,[status(thm)],[])).
% 1.63/1.89 tff(1582,plain,
% 1.63/1.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1581, 1580])).
% 1.63/1.89 tff(1583,plain,
% 1.63/1.89 ($false),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1582, 102, 425, 1576, 1574, 125, 1556])).
% 1.63/1.89 tff(1584,plain,((~r(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)))))))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.89 tff(1585,plain,
% 1.63/1.89 (~r(s(s(s(s(z)))), z)),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1584, 1536, 58, 90, 59, 68, 1518])).
% 1.63/1.89 tff(1586,plain,
% 1.63/1.89 (~r(z, s(s(z)))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[976, 68, 1291, 1516])).
% 1.63/1.89 tff(1587,plain,
% 1.63/1.89 (b(z, s(s(z)))),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[122, 1586])).
% 1.63/1.89 tff(1588,assumption,(b(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 1.63/1.89 tff(1589,assumption,(~r(s(s(s(s(z)))), z)), introduced(assumption)).
% 1.63/1.89 tff(1590,plain,
% 1.63/1.89 (((~![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))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1591,plain,
% 1.63/1.89 ((~![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))),
% 1.63/1.89 inference(quant_inst,[status(thm)],[])).
% 1.63/1.89 tff(1592,plain,
% 1.63/1.89 ((~![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)),
% 1.63/1.89 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 1.63/1.89 tff(1593,plain,
% 1.63/1.89 (b(s(s(s(s(z)))), z)),
% 1.63/1.89 inference(unit_resolution,[status(thm)],[1592, 49, 38, 1589])).
% 1.63/1.89 tff(1594,plain,
% 1.63/1.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1595,plain,
% 1.63/1.89 (((~b(z, s(s(z)))) | (~b(s(s(s(s(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.63/1.89 inference(rewrite,[status(thm)],[])).
% 1.63/1.89 tff(1596,plain,
% 1.63/1.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 1.63/1.89 inference(monotonicity,[status(thm)],[1595])).
% 1.63/1.89 tff(1597,plain,
% 1.63/1.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.73/1.90 inference(transitivity,[status(thm)],[1596, 1594])).
% 1.73/1.90 tff(1598,plain,
% 1.73/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 1.73/1.90 inference(quant_inst,[status(thm)],[])).
% 1.73/1.90 tff(1599,plain,
% 1.73/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))),
% 1.73/1.90 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 1.73/1.90 tff(1600,plain,
% 1.73/1.90 ($false),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1599, 102, 66, 56, 1593, 1588])).
% 1.73/1.90 tff(1601,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 1.73/1.90 tff(1602,plain,
% 1.73/1.90 (~b(s(s(s(s(z)))), s(s(z)))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1601, 1587, 56, 1585])).
% 1.73/1.90 tff(1603,assumption,(s(s(s(s(z)))) = s(s(z))), introduced(assumption)).
% 1.73/1.90 tff(1604,plain,
% 1.73/1.90 (inj_0(s(s(s(s(z))))) = inj_0(s(s(z)))),
% 1.73/1.90 inference(monotonicity,[status(thm)],[1603])).
% 1.73/1.90 tff(1605,plain,
% 1.73/1.90 (s(s(s(s(s(z))))) = s(s(s(z)))),
% 1.73/1.90 inference(monotonicity,[status(thm)],[1603])).
% 1.73/1.90 tff(1606,plain,
% 1.73/1.90 (s(s(s(s(s(z))))) = s(z)),
% 1.73/1.90 inference(transitivity,[status(thm)],[1605, 221, 1604, 185])).
% 1.73/1.90 tff(1607,assumption,(~(s(s(s(s(s(z))))) = s(z))), introduced(assumption)).
% 1.73/1.90 tff(1608,plain,
% 1.73/1.90 ($false),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1607, 1606])).
% 1.73/1.90 tff(1609,plain,((~(s(s(s(s(z)))) = s(s(z)))) | (s(s(s(s(s(z))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.90 tff(1610,plain,
% 1.73/1.90 (~(s(s(s(s(z)))) = s(s(z)))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1609, 298])).
% 1.73/1.90 tff(1611,plain,
% 1.73/1.90 (((~![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))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1612,plain,
% 1.73/1.90 ((~![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))))),
% 1.73/1.90 inference(quant_inst,[status(thm)],[])).
% 1.73/1.90 tff(1613,plain,
% 1.73/1.90 ((~![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)))),
% 1.73/1.90 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 1.73/1.90 tff(1614,plain,
% 1.73/1.90 (r(s(s(s(s(z)))), s(s(z)))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1613, 49, 1610, 1602])).
% 1.73/1.90 tff(1615,plain,
% 1.73/1.90 (((~![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(z)))) | (~r(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)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(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)))))))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1616,plain,
% 1.73/1.90 (((~r(s(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(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)))))), s(s(z)))) | (~r(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)))))))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1617,plain,
% 1.73/1.90 (((~![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(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(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(z)))) | (~r(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))))))))))),
% 1.73/1.90 inference(monotonicity,[status(thm)],[1616])).
% 1.73/1.90 tff(1618,plain,
% 1.73/1.90 (((~![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(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(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(z)))) | (~r(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)))))))))),
% 1.73/1.90 inference(transitivity,[status(thm)],[1617, 1615])).
% 1.73/1.90 tff(1619,plain,
% 1.73/1.90 ((~![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(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(z)))), s(s(z)))))),
% 1.73/1.90 inference(quant_inst,[status(thm)],[])).
% 1.73/1.90 tff(1620,plain,
% 1.73/1.90 ((~![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(z)))) | (~r(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))))))))),
% 1.73/1.90 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 1.73/1.90 tff(1621,plain,
% 1.73/1.90 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1620, 17, 1488, 1534, 1614])).
% 1.73/1.90 tff(1622,plain,
% 1.73/1.90 (b(s(s(s(s(z)))), z)),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1592, 49, 38, 1585])).
% 1.73/1.90 tff(1623,plain,
% 1.73/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1624,plain,
% 1.73/1.90 (((~b(s(s(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, 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(z, s(s(z)))) | (~b(s(s(z)), 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)))))))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1625,plain,
% 1.73/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 1.73/1.90 inference(monotonicity,[status(thm)],[1624])).
% 1.73/1.90 tff(1626,plain,
% 1.73/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.90 inference(transitivity,[status(thm)],[1625, 1623])).
% 1.73/1.90 tff(1627,plain,
% 1.73/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.90 inference(quant_inst,[status(thm)],[])).
% 1.73/1.90 tff(1628,plain,
% 1.73/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.73/1.90 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 1.73/1.90 tff(1629,plain,
% 1.73/1.90 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1628, 102, 1587, 56, 1532, 1622])).
% 1.73/1.90 tff(1630,assumption,(s(s(s(s(z)))) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 1.73/1.90 tff(1631,plain,
% 1.73/1.90 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(monotonicity,[status(thm)],[1630])).
% 1.73/1.90 tff(1632,plain,
% 1.73/1.90 (s(s(s(z))) = s(s(s(s(s(z)))))),
% 1.73/1.90 inference(transitivity,[status(thm)],[221, 1631, 150])).
% 1.73/1.90 tff(1633,plain,
% 1.73/1.90 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(z))))))),
% 1.73/1.90 inference(monotonicity,[status(thm)],[1632])).
% 1.73/1.90 tff(1634,plain,
% 1.73/1.90 (s(s(z)) = s(s(s(s(s(s(z))))))),
% 1.73/1.90 inference(transitivity,[status(thm)],[326, 1633, 212, 1630])).
% 1.73/1.90 tff(1635,plain,
% 1.73/1.90 ($false),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[274, 1634])).
% 1.73/1.90 tff(1636,plain,(~(s(s(s(s(z)))) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.90 tff(1637,plain,
% 1.73/1.90 (((~![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))))))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1638,plain,
% 1.73/1.90 ((~![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))))))))),
% 1.73/1.90 inference(quant_inst,[status(thm)],[])).
% 1.73/1.90 tff(1639,plain,
% 1.73/1.90 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(s(z))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 1.73/1.90 tff(1640,plain,
% 1.73/1.90 ($false),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1639, 49, 1636, 1629, 1621])).
% 1.73/1.90 tff(1641,plain,((~r(z, s(z))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.90 tff(1642,plain,
% 1.73/1.90 (~r(z, s(z))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1641, 56, 58, 90, 59, 57, 91])).
% 1.73/1.90 tff(1643,plain,
% 1.73/1.90 (b(z, s(z))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[88, 1642])).
% 1.73/1.90 tff(1644,plain,
% 1.73/1.90 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[433, 1643, 1518, 1289])).
% 1.73/1.90 tff(1645,plain,
% 1.73/1.90 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[165, 1644])).
% 1.73/1.90 tff(1646,plain,
% 1.73/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1647,plain,
% 1.73/1.90 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), 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(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.90 inference(rewrite,[status(thm)],[])).
% 1.73/1.90 tff(1648,plain,
% 1.73/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.73/1.90 inference(monotonicity,[status(thm)],[1647])).
% 1.73/1.90 tff(1649,plain,
% 1.73/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.90 inference(transitivity,[status(thm)],[1648, 1646])).
% 1.73/1.90 tff(1650,plain,
% 1.73/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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)))))))))),
% 1.73/1.90 inference(quant_inst,[status(thm)],[])).
% 1.73/1.90 tff(1651,plain,
% 1.73/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 1.73/1.90 tff(1652,plain,
% 1.73/1.90 ($false),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1651, 102, 425, 66, 57, 124, 382, 91])).
% 1.73/1.90 tff(1653,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.90 tff(1654,plain,
% 1.73/1.90 (~b(z, s(s(z)))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1653, 1518, 57, 1289, 1643, 91])).
% 1.73/1.90 tff(1655,plain,
% 1.73/1.90 (r(z, s(s(z)))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[122, 1654])).
% 1.73/1.90 tff(1656,plain,
% 1.73/1.90 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[1506, 1655, 59, 1291, 1643, 1289, 1488])).
% 1.73/1.90 tff(1657,plain,
% 1.73/1.90 (b(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[252, 1656])).
% 1.73/1.90 tff(1658,plain,
% 1.73/1.90 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[262, 1657, 56, 1289])).
% 1.73/1.90 tff(1659,plain,
% 1.73/1.90 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[279, 1658])).
% 1.73/1.90 tff(1660,plain,
% 1.73/1.90 ($false),
% 1.73/1.90 inference(unit_resolution,[status(thm)],[901, 17, 1291, 1488, 1659, 1645])).
% 1.73/1.90 tff(1661,plain,((~b(s(s(z)), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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,[]))).
% 1.73/1.91 tff(1662,plain,
% 1.73/1.91 (~b(s(s(z)), z)),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1661, 57, 59, 91, 58, 90])).
% 1.73/1.91 tff(1663,plain,
% 1.73/1.91 (r(s(s(z)), z)),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1392, 1662])).
% 1.73/1.91 tff(1664,plain,
% 1.73/1.91 (~r(z, s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1407, 1663, 91, 59, 57, 58])).
% 1.73/1.91 tff(1665,plain,
% 1.73/1.91 (b(z, s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[88, 1664])).
% 1.73/1.91 tff(1666,plain,
% 1.73/1.91 (~b(s(s(z)), s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1423, 1665, 57, 91, 59, 1663])).
% 1.73/1.91 tff(1667,plain,
% 1.73/1.91 (r(s(s(z)), s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[195, 1666])).
% 1.73/1.91 tff(1668,plain,
% 1.73/1.91 (((~![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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), 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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1669,plain,
% 1.73/1.91 (((~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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1670,plain,
% 1.73/1.91 (((~![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(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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))))),
% 1.73/1.91 inference(monotonicity,[status(thm)],[1669])).
% 1.73/1.91 tff(1671,plain,
% 1.73/1.91 (((~![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(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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.73/1.91 inference(transitivity,[status(thm)],[1670, 1668])).
% 1.73/1.91 tff(1672,plain,
% 1.73/1.91 ((~![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(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)))),
% 1.73/1.91 inference(quant_inst,[status(thm)],[])).
% 1.73/1.91 tff(1673,plain,
% 1.73/1.91 ((~![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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))),
% 1.73/1.91 inference(modus_ponens,[status(thm)],[1672, 1671])).
% 1.73/1.91 tff(1674,plain,
% 1.73/1.91 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1673, 17, 58, 1663, 90])).
% 1.73/1.91 tff(1675,plain,
% 1.73/1.91 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[232, 1674])).
% 1.73/1.91 tff(1676,plain,
% 1.73/1.91 (~b(s(z), s(s(z)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[205, 1675, 57, 91])).
% 1.73/1.91 tff(1677,plain,
% 1.73/1.91 (r(s(z), s(s(z)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[698, 1676])).
% 1.73/1.91 tff(1678,plain,
% 1.73/1.91 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[856, 1677, 1488, 1667])).
% 1.73/1.91 tff(1679,plain,
% 1.73/1.91 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[409, 1678])).
% 1.73/1.91 tff(1680,plain,
% 1.73/1.91 (((~![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(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1681,plain,
% 1.73/1.91 (((~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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1682,plain,
% 1.73/1.91 (((~![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(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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 1.73/1.91 inference(monotonicity,[status(thm)],[1681])).
% 1.73/1.91 tff(1683,plain,
% 1.73/1.91 (((~![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(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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.73/1.91 inference(transitivity,[status(thm)],[1682, 1680])).
% 1.73/1.91 tff(1684,plain,
% 1.73/1.91 ((~![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(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)))))))))),
% 1.73/1.91 inference(quant_inst,[status(thm)],[])).
% 1.73/1.91 tff(1685,plain,
% 1.73/1.91 ((~![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(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.73/1.91 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 1.73/1.91 tff(1686,plain,
% 1.73/1.91 ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1685, 17, 1488, 59, 1663])).
% 1.73/1.91 tff(1687,plain,
% 1.73/1.91 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1686, 1677])).
% 1.73/1.91 tff(1688,plain,
% 1.73/1.91 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[165, 1687])).
% 1.73/1.91 tff(1689,plain,
% 1.73/1.91 (((~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(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)))))))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1690,plain,
% 1.73/1.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))))))))),
% 1.73/1.91 inference(monotonicity,[status(thm)],[1689])).
% 1.73/1.91 tff(1691,plain,
% 1.73/1.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))))))),
% 1.73/1.91 inference(transitivity,[status(thm)],[1690, 1165])).
% 1.73/1.91 tff(1692,plain,
% 1.73/1.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 1.73/1.91 inference(quant_inst,[status(thm)],[])).
% 1.73/1.91 tff(1693,plain,
% 1.73/1.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 1.73/1.91 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 1.73/1.91 tff(1694,plain,
% 1.73/1.91 ($false),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1693, 102, 425, 4, 382, 125])).
% 1.73/1.91 tff(1695,plain,((~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(s(z)))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.91 tff(1696,plain,
% 1.73/1.91 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1695, 1688, 1665, 1679])).
% 1.73/1.91 tff(1697,plain,
% 1.73/1.91 (r(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[252, 1696])).
% 1.73/1.91 tff(1698,plain,
% 1.73/1.91 (~r(z, s(s(z)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1419, 1677, 59, 1663])).
% 1.73/1.91 tff(1699,plain,
% 1.73/1.91 (b(z, s(s(z)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[122, 1698])).
% 1.73/1.91 tff(1700,plain,
% 1.73/1.91 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1653, 1679, 57, 1699, 1665, 91])).
% 1.73/1.91 tff(1701,plain,
% 1.73/1.91 (r(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[538, 1700])).
% 1.73/1.91 tff(1702,plain,
% 1.73/1.91 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[878, 1688, 91, 1679])).
% 1.73/1.91 tff(1703,plain,
% 1.73/1.91 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[341, 1702])).
% 1.73/1.91 tff(1704,plain,
% 1.73/1.91 ($false),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[680, 1703, 1701, 58, 1697])).
% 1.73/1.91 tff(1705,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.91 tff(1706,plain,
% 1.73/1.91 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1705, 59, 91, 58, 90])).
% 1.73/1.91 tff(1707,plain,
% 1.73/1.91 (((~![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))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1708,plain,
% 1.73/1.91 ((~![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))))),
% 1.73/1.91 inference(quant_inst,[status(thm)],[])).
% 1.73/1.91 tff(1709,plain,
% 1.73/1.91 ((~![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)))),
% 1.73/1.91 inference(modus_ponens,[status(thm)],[1708, 1707])).
% 1.73/1.91 tff(1710,plain,
% 1.73/1.91 ((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)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1709, 49])).
% 1.73/1.91 tff(1711,plain,
% 1.73/1.91 (b(s(s(s(s(s(z))))), s(s(z))) | r(s(s(s(s(s(z))))), s(s(z)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1710, 226])).
% 1.73/1.91 tff(1712,plain,
% 1.73/1.91 (r(s(s(s(s(s(z))))), s(s(z)))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1711, 1706])).
% 1.73/1.91 tff(1713,plain,
% 1.73/1.91 (((~![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(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), 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(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1714,plain,
% 1.73/1.91 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, 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(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1715,plain,
% 1.73/1.91 (((~![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(z))))), s(s(z)))) | (~r(z, 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(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))))),
% 1.73/1.91 inference(monotonicity,[status(thm)],[1714])).
% 1.73/1.91 tff(1716,plain,
% 1.73/1.91 (((~![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(z))))), s(s(z)))) | (~r(z, 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(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.73/1.91 inference(transitivity,[status(thm)],[1715, 1713])).
% 1.73/1.91 tff(1717,plain,
% 1.73/1.91 ((~![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(z))))), s(s(z)))) | (~r(z, 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)))))),
% 1.73/1.91 inference(quant_inst,[status(thm)],[])).
% 1.73/1.91 tff(1718,plain,
% 1.73/1.91 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 1.73/1.91 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 1.73/1.91 tff(1719,plain,
% 1.73/1.91 ($false),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1718, 17, 3, 235, 2, 90])).
% 1.73/1.91 tff(1720,plain,((~r(s(s(z)), s(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)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.91 tff(1721,plain,
% 1.73/1.91 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1720, 2, 1712, 90])).
% 1.73/1.91 tff(1722,plain,
% 1.73/1.91 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[232, 1721])).
% 1.73/1.91 tff(1723,plain,
% 1.73/1.91 (((~![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), 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(s(z)))))) <=> ((~![X0: $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(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1724,plain,
% 1.73/1.91 (((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), 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(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(s(z)))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1725,plain,
% 1.73/1.91 (((~![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(s(s(s(s(s(z))))), 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(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(s(z))))))),
% 1.73/1.91 inference(monotonicity,[status(thm)],[1724])).
% 1.73/1.91 tff(1726,plain,
% 1.73/1.91 (((~![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(s(s(s(s(s(z))))), 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(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(s(z)))))),
% 1.73/1.91 inference(transitivity,[status(thm)],[1725, 1723])).
% 1.73/1.91 tff(1727,plain,
% 1.73/1.91 ((~![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(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 1.73/1.91 inference(quant_inst,[status(thm)],[])).
% 1.73/1.91 tff(1728,plain,
% 1.73/1.91 ((~![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), 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(s(z))))),
% 1.73/1.91 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 1.73/1.91 tff(1729,plain,
% 1.73/1.91 (~r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[1728, 17, 58, 1712, 59, 2])).
% 1.73/1.91 tff(1730,plain,
% 1.73/1.91 (b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.91 inference(unit_resolution,[status(thm)],[303, 1729])).
% 1.73/1.91 tff(1731,plain,
% 1.73/1.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), 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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1732,plain,
% 1.73/1.91 (((~b(s(z), 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(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(z), s(s(z)))) | (~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))))))))),
% 1.73/1.91 inference(rewrite,[status(thm)],[])).
% 1.73/1.91 tff(1733,plain,
% 1.73/1.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.73/1.91 inference(monotonicity,[status(thm)],[1732])).
% 1.73/1.91 tff(1734,plain,
% 1.73/1.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.91 inference(transitivity,[status(thm)],[1733, 1731])).
% 1.73/1.91 tff(1735,plain,
% 1.73/1.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 1.73/1.92 inference(quant_inst,[status(thm)],[])).
% 1.73/1.92 tff(1736,plain,
% 1.73/1.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.73/1.92 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 1.73/1.92 tff(1737,plain,
% 1.73/1.92 ($false),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1736, 102, 92, 343, 197, 91])).
% 1.73/1.92 tff(1738,plain,((~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(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.92 tff(1739,plain,
% 1.73/1.92 (~b(s(z), s(s(z)))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1738, 1730, 91, 1722])).
% 1.73/1.92 tff(1740,plain,
% 1.73/1.92 (r(s(z), s(s(z)))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[698, 1739])).
% 1.73/1.92 tff(1741,plain,
% 1.73/1.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~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))))))))),
% 1.73/1.92 inference(rewrite,[status(thm)],[])).
% 1.73/1.92 tff(1742,plain,
% 1.73/1.92 (((~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(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(s(z)), s(z))) | (~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))))))))),
% 1.73/1.92 inference(rewrite,[status(thm)],[])).
% 1.73/1.92 tff(1743,plain,
% 1.73/1.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~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)))))))))),
% 1.73/1.92 inference(monotonicity,[status(thm)],[1742])).
% 1.73/1.92 tff(1744,plain,
% 1.73/1.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~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))))))))),
% 1.73/1.92 inference(transitivity,[status(thm)],[1743, 1741])).
% 1.73/1.92 tff(1745,plain,
% 1.73/1.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 1.73/1.92 inference(quant_inst,[status(thm)],[])).
% 1.73/1.92 tff(1746,plain,
% 1.73/1.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.73/1.92 inference(modus_ponens,[status(thm)],[1745, 1744])).
% 1.73/1.92 tff(1747,plain,
% 1.73/1.92 ($false),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1746, 102, 168, 343, 197, 91])).
% 1.73/1.92 tff(1748,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.92 tff(1749,plain,
% 1.73/1.92 (~b(s(s(z)), s(z))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1748, 1730, 91, 1722])).
% 1.73/1.92 tff(1750,plain,
% 1.73/1.92 (r(s(s(z)), s(z))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[195, 1749])).
% 1.73/1.92 tff(1751,plain,
% 1.73/1.92 (~r(z, s(z))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[976, 1750, 2, 1740])).
% 1.73/1.92 tff(1752,plain,
% 1.73/1.92 (b(z, s(z))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[88, 1751])).
% 1.73/1.92 tff(1753,plain,
% 1.73/1.92 (~b(s(s(z)), s(z))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1748, 1722, 91, 1730])).
% 1.73/1.92 tff(1754,plain,
% 1.73/1.92 (r(s(s(z)), s(z))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[195, 1753])).
% 1.73/1.92 tff(1755,plain,
% 1.73/1.92 (((~![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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), 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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.73/1.92 inference(rewrite,[status(thm)],[])).
% 1.73/1.92 tff(1756,plain,
% 1.73/1.92 (((~r(z, s(s(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(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(z, s(s(z)))))),
% 1.73/1.92 inference(rewrite,[status(thm)],[])).
% 1.73/1.92 tff(1757,plain,
% 1.73/1.92 (((~![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(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(s(z)))))) <=> ((~![X0: $i, X3: $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(s(z)))) | (~r(z, s(s(z))))))),
% 1.73/1.92 inference(monotonicity,[status(thm)],[1756])).
% 1.73/1.92 tff(1758,plain,
% 1.73/1.92 (((~![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(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(s(z)))))) <=> ((~![X0: $i, X3: $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(s(z)))) | (~r(z, s(s(z)))))),
% 1.73/1.92 inference(transitivity,[status(thm)],[1757, 1755])).
% 1.73/1.92 tff(1759,plain,
% 1.73/1.92 ((~![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(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(s(z)))))),
% 1.73/1.92 inference(quant_inst,[status(thm)],[])).
% 1.73/1.92 tff(1760,plain,
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% 1.73/1.92 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 1.73/1.92 tff(1761,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[1760, 17, 58, 3, 65, 2])).
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% 1.73/1.92 tff(1763,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[1762, 2, 1712, 58])).
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[1392, 1763])).
% 1.73/1.92 tff(1765,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[1738, 197, 91, 343])).
% 1.73/1.92 tff(1766,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[698, 1765])).
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[1748, 197, 91, 343])).
% 1.73/1.92 tff(1768,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[195, 1767])).
% 1.73/1.92 tff(1769,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[976, 1768, 2, 1766])).
% 1.73/1.92 tff(1770,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[88, 1769])).
% 1.73/1.92 tff(1771,plain,
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% 1.73/1.92 inference(rewrite,[status(thm)],[])).
% 1.73/1.92 tff(1772,plain,
% 1.73/1.92 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(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(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), 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(z))))))))),
% 1.73/1.92 inference(rewrite,[status(thm)],[])).
% 1.73/1.92 tff(1773,plain,
% 1.73/1.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), 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(z)))))))))),
% 1.73/1.92 inference(monotonicity,[status(thm)],[1772])).
% 1.73/1.92 tff(1774,plain,
% 1.73/1.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), 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(z))))))))),
% 1.73/1.92 inference(transitivity,[status(thm)],[1773, 1771])).
% 1.73/1.92 tff(1775,plain,
% 1.73/1.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, 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)))))))))),
% 1.73/1.92 inference(quant_inst,[status(thm)],[])).
% 1.73/1.92 tff(1776,plain,
% 1.73/1.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), 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(z)))))))),
% 1.73/1.92 inference(modus_ponens,[status(thm)],[1775, 1774])).
% 1.73/1.92 tff(1777,plain,
% 1.73/1.92 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1776, 102, 56, 4, 197, 1770, 91])).
% 1.73/1.92 tff(1778,plain,
% 1.73/1.92 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[279, 1777])).
% 1.73/1.92 tff(1779,plain,
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% 1.73/1.92 tff(1780,plain,
% 1.73/1.92 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[165, 1779])).
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[455, 1780, 1770, 4])).
% 1.73/1.92 tff(1782,plain,
% 1.73/1.92 (r(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[538, 1781])).
% 1.73/1.92 tff(1783,plain,
% 1.73/1.92 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[798, 1780, 91, 343])).
% 1.73/1.92 tff(1784,plain,
% 1.73/1.92 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[361, 1783])).
% 1.73/1.92 tff(1785,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[594, 1784, 1782, 2, 1778, 90])).
% 1.73/1.92 tff(1786,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(z)))) | (~r(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))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.92 tff(1787,plain,
% 1.73/1.92 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1786, 2, 90, 91, 1730, 393, 1764, 1722])).
% 1.73/1.92 tff(1788,plain,
% 1.73/1.92 (r(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[252, 1787])).
% 1.73/1.92 tff(1789,plain,
% 1.73/1.92 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[1449, 1788, 90, 58])).
% 1.73/1.92 tff(1790,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[361, 1789])).
% 1.73/1.92 tff(1791,plain,
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% 1.73/1.92 tff(1792,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[165, 1791])).
% 1.73/1.92 tff(1793,plain,
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% 1.73/1.92 tff(1796,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(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,[]))).
% 1.73/1.92 tff(1797,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[538, 1797])).
% 1.73/1.92 tff(1799,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[1738, 1722, 91, 1730])).
% 1.73/1.92 tff(1800,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[698, 1799])).
% 1.73/1.92 tff(1801,plain,
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% 1.73/1.92 inference(unit_resolution,[status(thm)],[856, 1800, 393, 1754])).
% 1.73/1.92 tff(1802,plain,
% 1.73/1.92 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.92 inference(unit_resolution,[status(thm)],[496, 1801])).
% 1.73/1.92 tff(1803,plain,
% 1.73/1.92 (((~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(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(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)))))))))),
% 1.73/1.92 inference(rewrite,[status(thm)],[])).
% 1.73/1.92 tff(1804,plain,
% 1.73/1.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.73/1.92 inference(monotonicity,[status(thm)],[1803])).
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% 1.73/1.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.93 inference(transitivity,[status(thm)],[1804, 1294])).
% 1.73/1.93 tff(1806,plain,
% 1.73/1.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 1.73/1.93 inference(quant_inst,[status(thm)],[])).
% 1.73/1.93 tff(1807,plain,
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% 1.73/1.93 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 1.73/1.93 tff(1808,plain,
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[1807, 102, 1802, 1764, 1798, 1794])).
% 1.73/1.93 tff(1809,plain,((~r(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.93 tff(1810,plain,
% 1.73/1.93 (~r(z, s(s(z)))),
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[122, 1810])).
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[1190, 364, 91, 125])).
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% 1.73/1.93 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 1.73/1.93 tff(1814,plain,
% 1.73/1.93 (~b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[798, 364, 91, 125])).
% 1.73/1.93 tff(1815,plain,
% 1.73/1.93 (r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[303, 1814])).
% 1.73/1.93 tff(1816,plain,
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% 1.73/1.93 inference(rewrite,[status(thm)],[])).
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% 1.73/1.93 (((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), 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(z)), 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))))), s(s(z)))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1818,plain,
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% 1.73/1.93 inference(monotonicity,[status(thm)],[1817])).
% 1.73/1.93 tff(1819,plain,
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% 1.73/1.93 inference(transitivity,[status(thm)],[1818, 1816])).
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% 1.73/1.93 inference(quant_inst,[status(thm)],[])).
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% 1.73/1.93 inference(modus_ponens,[status(thm)],[1820, 1819])).
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[1821, 17, 234, 58, 67, 3, 59])).
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% 1.73/1.93 tff(1824,plain,
% 1.73/1.93 (~r(s(s(z)), s(z))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1823, 59, 58, 67, 3])).
% 1.73/1.93 tff(1825,plain,
% 1.73/1.93 (b(s(s(z)), s(z))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[195, 1824])).
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% 1.73/1.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1827,plain,
% 1.73/1.93 (((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(z), 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)), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1828,plain,
% 1.73/1.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z))))))),
% 1.73/1.93 inference(monotonicity,[status(thm)],[1827])).
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% 1.73/1.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))))),
% 1.73/1.93 inference(transitivity,[status(thm)],[1828, 1826])).
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% 1.73/1.93 inference(quant_inst,[status(thm)],[])).
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% 1.73/1.93 inference(modus_ponens,[status(thm)],[1830, 1829])).
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[1831, 102, 92, 66, 168, 382])).
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% 1.73/1.93 tff(1834,plain,
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[1833, 1825, 66, 92])).
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[88, 1834])).
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[74, 17, 58, 67, 1835, 59])).
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% 1.73/1.93 tff(1838,plain,
% 1.73/1.93 (~b(s(z), s(s(z)))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1837, 1815, 58, 3, 66, 59])).
% 1.73/1.93 tff(1839,plain,
% 1.73/1.93 (r(s(z), s(s(z)))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[698, 1838])).
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% 1.73/1.93 (((~![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(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))))) <=> ((~![X0: $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(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))))),
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% 1.73/1.93 tff(1841,plain,
% 1.73/1.93 (((~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(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(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1842,plain,
% 1.73/1.93 (((~![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(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(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(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 1.73/1.93 inference(monotonicity,[status(thm)],[1841])).
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% 1.73/1.93 inference(transitivity,[status(thm)],[1842, 1840])).
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% 1.73/1.93 inference(quant_inst,[status(thm)],[])).
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% 1.73/1.93 inference(modus_ponens,[status(thm)],[1844, 1843])).
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[1845, 17, 1839, 1815, 3, 393, 1813])).
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% 1.73/1.93 tff(1848,plain,
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[252, 1850])).
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% 1.73/1.93 tff(1853,plain,
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[698, 1852])).
% 1.73/1.93 tff(1854,plain,
% 1.73/1.93 (((~![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(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)))))) <=> ((~![X0: $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(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)))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1855,plain,
% 1.73/1.93 (((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), 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(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)))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1856,plain,
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% 1.73/1.93 inference(monotonicity,[status(thm)],[1855])).
% 1.73/1.93 tff(1857,plain,
% 1.73/1.93 (((~![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(s(s(s(z))))), 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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 1.73/1.93 inference(transitivity,[status(thm)],[1856, 1854])).
% 1.73/1.93 tff(1858,plain,
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% 1.73/1.93 inference(quant_inst,[status(thm)],[])).
% 1.73/1.93 tff(1859,plain,
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% 1.73/1.93 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 1.73/1.93 tff(1860,plain,
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[1859, 17, 780, 58, 67, 3, 65])).
% 1.73/1.93 tff(1861,plain,((~r(s(s(z)), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.93 tff(1862,plain,
% 1.73/1.93 (~r(s(s(z)), z)),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1861, 1853, 58, 3, 67])).
% 1.73/1.93 tff(1863,plain,
% 1.73/1.93 (b(s(s(z)), z)),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1392, 1862])).
% 1.73/1.93 tff(1864,plain,
% 1.73/1.93 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1162, 1853, 393, 64, 67])).
% 1.73/1.93 tff(1865,plain,
% 1.73/1.93 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[496, 1864])).
% 1.73/1.93 tff(1866,plain,
% 1.73/1.93 ($false),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[777, 1865, 1863, 66, 4])).
% 1.73/1.93 tff(1867,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(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(z))))), s(s(z)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.93 tff(1868,plain,
% 1.73/1.93 (~r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1867, 1851, 1811, 393, 1849, 58, 1712, 59])).
% 1.73/1.93 tff(1869,plain,
% 1.73/1.93 (b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[303, 1868])).
% 1.73/1.93 tff(1870,plain,
% 1.73/1.93 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1462, 498, 66, 4])).
% 1.73/1.93 tff(1871,plain,
% 1.73/1.93 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[279, 1870])).
% 1.73/1.93 tff(1872,plain,
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% 1.73/1.93 inference(unit_resolution,[status(thm)],[777, 498, 66, 4])).
% 1.73/1.93 tff(1873,plain,
% 1.73/1.93 (r(s(s(z)), z)),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1392, 1872])).
% 1.73/1.93 tff(1874,plain,
% 1.73/1.93 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[1483, 65, 58, 1, 62])).
% 1.73/1.93 tff(1875,plain,
% 1.73/1.93 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.93 inference(unit_resolution,[status(thm)],[232, 1874])).
% 1.73/1.93 tff(1876,plain,
% 1.73/1.93 (((~![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)), s(z))) | (~r(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(z)), s(z))) | (~r(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)))))))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1877,plain,
% 1.73/1.93 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), s(z))) | (~r(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)))))))))),
% 1.73/1.93 inference(rewrite,[status(thm)],[])).
% 1.73/1.93 tff(1878,plain,
% 1.73/1.93 (((~![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(s(s(z)), s(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(s(s(z)), s(z))) | (~r(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))))))))))),
% 1.73/1.93 inference(monotonicity,[status(thm)],[1877])).
% 1.73/1.93 tff(1879,plain,
% 1.73/1.93 (((~![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(s(s(z)), s(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(s(s(z)), s(z))) | (~r(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)))))))))),
% 1.73/1.93 inference(transitivity,[status(thm)],[1878, 1876])).
% 1.73/1.93 tff(1880,plain,
% 1.73/1.93 ((~![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(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))),
% 1.73/1.93 inference(quant_inst,[status(thm)],[])).
% 1.73/1.93 tff(1881,plain,
% 1.73/1.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.73/1.94 inference(modus_ponens,[status(thm)],[1880, 1879])).
% 1.73/1.94 tff(1882,plain,
% 1.73/1.94 ((~r(s(s(z)), s(z))) | (~r(s(s(z)), z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1881, 17, 59, 1, 62])).
% 1.73/1.94 tff(1883,plain,
% 1.73/1.94 (~r(s(s(z)), s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1882, 65])).
% 1.73/1.94 tff(1884,plain,
% 1.73/1.94 (b(s(s(z)), s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[195, 1883])).
% 1.73/1.94 tff(1885,plain,
% 1.73/1.94 ($false),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1748, 1884, 1875, 91, 343])).
% 1.73/1.94 tff(1886,plain,((~r(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(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(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.94 tff(1887,plain,
% 1.73/1.94 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1886, 1873, 91, 59, 343, 1871, 58])).
% 1.73/1.94 tff(1888,plain,
% 1.73/1.94 (b(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[538, 1887])).
% 1.73/1.94 tff(1889,plain,
% 1.73/1.94 (~b(z, s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[455, 1888, 125, 4])).
% 1.73/1.94 tff(1890,plain,
% 1.73/1.94 (r(z, s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[88, 1889])).
% 1.73/1.94 tff(1891,plain,
% 1.73/1.94 (~r(s(s(z)), s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1403, 1890, 59, 1873])).
% 1.73/1.94 tff(1892,plain,
% 1.73/1.94 (b(s(s(z)), s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[195, 1891])).
% 1.73/1.94 tff(1893,plain,
% 1.73/1.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1894,plain,
% 1.73/1.94 (((~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(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(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1895,plain,
% 1.73/1.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 1.73/1.94 inference(monotonicity,[status(thm)],[1894])).
% 1.73/1.94 tff(1896,plain,
% 1.73/1.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 1.73/1.94 inference(transitivity,[status(thm)],[1895, 1893])).
% 1.73/1.94 tff(1897,plain,
% 1.73/1.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.94 inference(quant_inst,[status(thm)],[])).
% 1.73/1.94 tff(1898,plain,
% 1.73/1.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 1.73/1.94 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 1.73/1.94 tff(1899,plain,
% 1.73/1.94 ($false),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1898, 102, 66, 498, 1892, 1888, 125])).
% 1.73/1.94 tff(1900,plain,((~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)))))))) | (~r(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(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.94 tff(1901,plain,
% 1.73/1.94 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1900, 125, 1811, 59, 1851, 91, 1869, 58])).
% 1.73/1.94 tff(1902,plain,
% 1.73/1.94 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[496, 1901])).
% 1.73/1.94 tff(1903,plain,
% 1.73/1.94 (((~![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)))))), 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(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(z)), 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)))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1904,plain,
% 1.73/1.94 (((~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(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(z)), 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)))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1905,plain,
% 1.73/1.94 (((~![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(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(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(z)), 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))))))),
% 1.73/1.94 inference(monotonicity,[status(thm)],[1904])).
% 1.73/1.94 tff(1906,plain,
% 1.73/1.94 (((~![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(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(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(z)), 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)))))),
% 1.73/1.94 inference(transitivity,[status(thm)],[1905, 1903])).
% 1.73/1.94 tff(1907,plain,
% 1.73/1.94 ((~![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(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(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.73/1.94 inference(quant_inst,[status(thm)],[])).
% 1.73/1.94 tff(1908,plain,
% 1.73/1.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.73/1.94 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 1.73/1.94 tff(1909,plain,
% 1.73/1.94 ($false),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1908, 17, 5, 3, 235, 64])).
% 1.73/1.94 tff(1910,plain,((~r(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.94 tff(1911,plain,
% 1.73/1.94 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1910, 1902, 1712, 1849])).
% 1.73/1.94 tff(1912,plain,
% 1.73/1.94 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[232, 1911])).
% 1.73/1.94 tff(1913,plain,
% 1.73/1.94 (~b(s(s(z)), s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1748, 1912, 91, 1869])).
% 1.73/1.94 tff(1914,plain,
% 1.73/1.94 (r(s(s(z)), s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[195, 1913])).
% 1.73/1.94 tff(1915,plain,
% 1.73/1.94 (~b(s(z), s(s(z)))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1738, 1912, 91, 1869])).
% 1.73/1.94 tff(1916,plain,
% 1.73/1.94 (r(s(z), s(s(z)))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[698, 1915])).
% 1.73/1.94 tff(1917,plain,
% 1.73/1.94 ($false),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[856, 1916, 1914, 393, 1902])).
% 1.73/1.94 tff(1918,plain,((~b(s(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(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.94 tff(1919,plain,
% 1.73/1.94 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1918, 393, 91, 59, 58, 90])).
% 1.73/1.94 tff(1920,plain,
% 1.73/1.94 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[165, 1919])).
% 1.73/1.94 tff(1921,plain,
% 1.73/1.94 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1796, 63, 59, 167])).
% 1.73/1.94 tff(1922,plain,
% 1.73/1.94 (b(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[538, 1921])).
% 1.73/1.94 tff(1923,plain,
% 1.73/1.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(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))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1924,plain,
% 1.73/1.94 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), 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(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))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1925,plain,
% 1.73/1.94 (((~![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(z), z)) | (~r(s(s(s(s(s(s(z)))))), 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(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)))))),
% 1.73/1.94 inference(monotonicity,[status(thm)],[1924])).
% 1.73/1.94 tff(1926,plain,
% 1.73/1.94 (((~![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(z), z)) | (~r(s(s(s(s(s(s(z)))))), 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(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))))),
% 1.73/1.94 inference(transitivity,[status(thm)],[1925, 1923])).
% 1.73/1.94 tff(1927,plain,
% 1.73/1.94 ((~![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(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 1.73/1.94 inference(quant_inst,[status(thm)],[])).
% 1.73/1.94 tff(1928,plain,
% 1.73/1.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 1.73/1.94 inference(modus_ponens,[status(thm)],[1927, 1926])).
% 1.73/1.94 tff(1929,plain,
% 1.73/1.94 ($false),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1928, 17, 393, 68, 59, 63])).
% 1.73/1.94 tff(1930,plain,((~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))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.94 tff(1931,plain,
% 1.73/1.94 (~r(z, s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1930, 63, 59, 393])).
% 1.73/1.94 tff(1932,plain,
% 1.73/1.94 (b(z, s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[88, 1931])).
% 1.73/1.94 tff(1933,plain,
% 1.73/1.94 (((~![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(z), 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(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(z), 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(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1934,plain,
% 1.73/1.94 (((~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(z), 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(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.73/1.94 inference(rewrite,[status(thm)],[])).
% 1.73/1.94 tff(1935,plain,
% 1.73/1.94 (((~![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(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(z), 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(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 1.73/1.94 inference(monotonicity,[status(thm)],[1934])).
% 1.73/1.94 tff(1936,plain,
% 1.73/1.94 (((~![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(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(z), 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(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 1.73/1.94 inference(transitivity,[status(thm)],[1935, 1933])).
% 1.73/1.94 tff(1937,plain,
% 1.73/1.94 ((~![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(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)))))))))),
% 1.73/1.94 inference(quant_inst,[status(thm)],[])).
% 1.73/1.94 tff(1938,plain,
% 1.73/1.94 ((~![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(z), 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(z))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 1.73/1.94 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 1.73/1.94 tff(1939,plain,
% 1.73/1.94 ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z)))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1938, 17, 58, 393, 59])).
% 1.73/1.94 tff(1940,plain,
% 1.73/1.94 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1939, 67])).
% 1.73/1.94 tff(1941,plain,
% 1.73/1.94 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[341, 1940])).
% 1.73/1.94 tff(1942,plain,
% 1.73/1.94 (~r(s(s(z)), s(z))),
% 1.73/1.94 inference(unit_resolution,[status(thm)],[1823, 67, 58, 3, 59])).
% 1.73/1.94 tff(1943,plain,
% 1.73/1.94 (b(s(s(z)), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[195, 1942])).
% 1.73/1.95 tff(1944,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, 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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, 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(z))))))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1945,plain,
% 1.73/1.95 (((~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(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, 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(z))))))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1946,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, 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(z)))))))))),
% 1.73/1.95 inference(monotonicity,[status(thm)],[1945])).
% 1.73/1.95 tff(1947,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, 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(z))))))))),
% 1.73/1.95 inference(transitivity,[status(thm)],[1946, 1944])).
% 1.73/1.95 tff(1948,plain,
% 1.73/1.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))),
% 1.73/1.95 inference(quant_inst,[status(thm)],[])).
% 1.73/1.95 tff(1949,plain,
% 1.73/1.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 1.73/1.95 tff(1950,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1949, 102, 66, 1943, 124, 1941, 382, 91])).
% 1.73/1.95 tff(1951,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(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(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(1952,plain,
% 1.73/1.95 (~r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1951, 1922, 66, 1932, 91, 58, 393, 59, 3])).
% 1.73/1.95 tff(1953,plain,
% 1.73/1.95 (b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[303, 1952])).
% 1.73/1.95 tff(1954,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1955,plain,
% 1.73/1.95 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(z), 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)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1956,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.73/1.95 inference(monotonicity,[status(thm)],[1955])).
% 1.73/1.95 tff(1957,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.95 inference(transitivity,[status(thm)],[1956, 1954])).
% 1.73/1.95 tff(1958,plain,
% 1.73/1.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))),
% 1.73/1.95 inference(quant_inst,[status(thm)],[])).
% 1.73/1.95 tff(1959,plain,
% 1.73/1.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(modus_ponens,[status(thm)],[1958, 1957])).
% 1.73/1.95 tff(1960,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1959, 102, 66, 168, 343, 382, 91])).
% 1.73/1.95 tff(1961,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(1962,plain,
% 1.73/1.95 (~b(s(s(z)), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1961, 1953, 66, 1932, 91])).
% 1.73/1.95 tff(1963,plain,
% 1.73/1.95 (r(s(s(z)), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[195, 1962])).
% 1.73/1.95 tff(1964,plain,
% 1.73/1.95 (((~![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(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)))))), s(s(z)))))) <=> ((~![X0: $i, X3: $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(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)))))), s(s(z)))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1965,plain,
% 1.73/1.95 (((~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(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)))))), s(s(z)))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1966,plain,
% 1.73/1.95 (((~![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(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(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)))))), s(s(z))))))),
% 1.73/1.95 inference(monotonicity,[status(thm)],[1965])).
% 1.73/1.95 tff(1967,plain,
% 1.73/1.95 (((~![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(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(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)))))), s(s(z)))))),
% 1.73/1.95 inference(transitivity,[status(thm)],[1966, 1964])).
% 1.73/1.95 tff(1968,plain,
% 1.73/1.95 ((~![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(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)))))),
% 1.73/1.95 inference(quant_inst,[status(thm)],[])).
% 1.73/1.95 tff(1969,plain,
% 1.73/1.95 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.73/1.95 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 1.73/1.95 tff(1970,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1969, 17, 234, 5, 393, 59, 63])).
% 1.73/1.95 tff(1971,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), 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))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(1972,plain,
% 1.73/1.95 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1971, 1963, 393, 59, 63])).
% 1.73/1.95 tff(1973,plain,
% 1.73/1.95 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[496, 1972])).
% 1.73/1.95 tff(1974,plain,
% 1.73/1.95 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1441, 1963, 393, 167])).
% 1.73/1.95 tff(1975,plain,
% 1.73/1.95 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[279, 1974])).
% 1.73/1.95 tff(1976,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1977,plain,
% 1.73/1.95 (((~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(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(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(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(1978,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.73/1.95 inference(monotonicity,[status(thm)],[1977])).
% 1.73/1.95 tff(1979,plain,
% 1.73/1.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.95 inference(transitivity,[status(thm)],[1978, 1976])).
% 1.73/1.95 tff(1980,plain,
% 1.73/1.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.95 inference(quant_inst,[status(thm)],[])).
% 1.73/1.95 tff(1981,plain,
% 1.73/1.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.73/1.95 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 1.73/1.95 tff(1982,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1981, 102, 66, 498, 124, 254])).
% 1.73/1.95 tff(1983,plain,((~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(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(1984,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1983, 1975, 1973, 66, 1922])).
% 1.73/1.95 tff(1985,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~b(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(z))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(1986,plain,
% 1.73/1.95 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1985, 1811, 393, 1920, 59, 91, 58, 1712])).
% 1.73/1.95 tff(1987,plain,
% 1.73/1.95 (b(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[252, 1986])).
% 1.73/1.95 tff(1988,plain,
% 1.73/1.95 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1441, 234, 393, 1920])).
% 1.73/1.95 tff(1989,plain,
% 1.73/1.95 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[279, 1988])).
% 1.73/1.95 tff(1990,plain,
% 1.73/1.95 (~b(s(s(z)), z)),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[707, 1989, 1811, 1987])).
% 1.73/1.95 tff(1991,plain,
% 1.73/1.95 (r(s(s(z)), z)),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1392, 1990])).
% 1.73/1.95 tff(1992,plain,
% 1.73/1.95 (~r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1823, 234, 58, 1712, 59])).
% 1.73/1.95 tff(1993,plain,
% 1.73/1.95 (b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[303, 1992])).
% 1.73/1.95 tff(1994,plain,
% 1.73/1.95 (~r(s(s(z)), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1441, 1871, 393, 167])).
% 1.73/1.95 tff(1995,plain,
% 1.73/1.95 (b(s(s(z)), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[195, 1994])).
% 1.73/1.95 tff(1996,plain,
% 1.73/1.95 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1748, 1995, 91, 343])).
% 1.73/1.95 tff(1997,plain,
% 1.73/1.95 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[232, 1996])).
% 1.73/1.95 tff(1998,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1673, 17, 58, 1997, 1873, 90])).
% 1.73/1.95 tff(1999,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(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))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(2000,plain,
% 1.73/1.95 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1999, 1993, 90, 91, 58, 393, 1920, 1811, 1987])).
% 1.73/1.95 tff(2001,plain,
% 1.73/1.95 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[496, 2000])).
% 1.73/1.95 tff(2002,plain,
% 1.73/1.95 (~r(s(z), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[856, 2001, 393, 234])).
% 1.73/1.95 tff(2003,plain,
% 1.73/1.95 (b(s(z), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[698, 2002])).
% 1.73/1.95 tff(2004,plain,
% 1.73/1.95 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1738, 2003, 91, 1993])).
% 1.73/1.95 tff(2005,plain,
% 1.73/1.95 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[232, 2004])).
% 1.73/1.95 tff(2006,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1673, 17, 58, 2005, 1991, 90])).
% 1.73/1.95 tff(2007,plain,((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(2008,plain,
% 1.73/1.95 (~r(s(s(z)), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[2007, 393, 90, 91, 58, 59])).
% 1.73/1.95 tff(2009,plain,
% 1.73/1.95 (b(s(s(z)), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[195, 2008])).
% 1.73/1.95 tff(2010,plain,
% 1.73/1.95 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[707, 1863, 66, 4])).
% 1.73/1.95 tff(2011,plain,
% 1.73/1.95 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[279, 2010])).
% 1.73/1.95 tff(2012,plain,
% 1.73/1.95 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[777, 1863, 66, 4])).
% 1.73/1.95 tff(2013,plain,
% 1.73/1.95 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[496, 2012])).
% 1.73/1.95 tff(2014,plain,
% 1.73/1.95 ($false),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[786, 17, 1853, 2013, 2011, 167])).
% 1.73/1.95 tff(2015,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(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(z)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.95 tff(2016,plain,
% 1.73/1.95 (~r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[2015, 1920, 1811, 1987, 58, 1712, 59])).
% 1.73/1.95 tff(2017,plain,
% 1.73/1.95 (b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[303, 2016])).
% 1.73/1.95 tff(2018,plain,
% 1.73/1.95 (~b(z, s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[1961, 2017, 1811, 2009, 91])).
% 1.73/1.95 tff(2019,plain,
% 1.73/1.95 (r(z, s(z))),
% 1.73/1.95 inference(unit_resolution,[status(thm)],[88, 2018])).
% 1.73/1.95 tff(2020,plain,
% 1.73/1.95 (((~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(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))))),
% 1.73/1.95 inference(rewrite,[status(thm)],[])).
% 1.73/1.95 tff(2021,plain,
% 1.73/1.95 (((~![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(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(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)))))),
% 1.73/1.96 inference(monotonicity,[status(thm)],[2020])).
% 1.73/1.96 tff(2022,plain,
% 1.73/1.96 (((~![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(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(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))))),
% 1.73/1.96 inference(transitivity,[status(thm)],[2021, 740])).
% 1.73/1.96 tff(2023,plain,
% 1.73/1.96 ((~![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(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))))),
% 1.73/1.96 inference(quant_inst,[status(thm)],[])).
% 1.73/1.96 tff(2024,plain,
% 1.73/1.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(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)))),
% 1.73/1.96 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 1.73/1.96 tff(2025,plain,
% 1.73/1.96 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2024, 17, 393, 2019, 1920])).
% 1.73/1.96 tff(2026,plain,
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% 1.73/1.96 inference(unit_resolution,[status(thm)],[538, 2025])).
% 1.73/1.96 tff(2027,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2028,plain,
% 1.73/1.96 (((~b(z, s(s(z)))) | (~b(z, 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(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2029,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.73/1.96 inference(monotonicity,[status(thm)],[2028])).
% 1.73/1.96 tff(2030,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.73/1.96 inference(transitivity,[status(thm)],[2029, 2027])).
% 1.73/1.96 tff(2031,plain,
% 1.73/1.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 1.73/1.96 inference(quant_inst,[status(thm)],[])).
% 1.73/1.96 tff(2032,plain,
% 1.73/1.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.73/1.96 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 1.73/1.96 tff(2033,plain,
% 1.73/1.96 ($false),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2032, 102, 66, 4, 124, 254])).
% 1.73/1.96 tff(2034,plain,((~b(s(s(z)), s(s(s(s(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))))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.96 tff(2035,plain,
% 1.73/1.96 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2034, 2026, 1987, 1811])).
% 1.73/1.96 tff(2036,plain,
% 1.73/1.96 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[279, 2035])).
% 1.73/1.96 tff(2037,plain,
% 1.73/1.96 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[1999, 2017, 90, 91, 58, 393, 1920, 1811, 1987])).
% 1.73/1.96 tff(2038,plain,
% 1.73/1.96 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[496, 2037])).
% 1.73/1.96 tff(2039,plain,
% 1.73/1.96 (((~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(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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2040,plain,
% 1.73/1.96 (((~![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(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(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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 1.73/1.96 inference(monotonicity,[status(thm)],[2039])).
% 1.73/1.96 tff(2041,plain,
% 1.73/1.96 (((~![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(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(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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.96 inference(transitivity,[status(thm)],[2040, 1615])).
% 1.73/1.96 tff(2042,plain,
% 1.73/1.96 ((~![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(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)))))))))),
% 1.73/1.96 inference(quant_inst,[status(thm)],[])).
% 1.73/1.96 tff(2043,plain,
% 1.73/1.96 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.73/1.96 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 1.73/1.96 tff(2044,plain,
% 1.73/1.96 (~r(s(s(s(s(z)))), s(s(z)))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2043, 17, 5, 62, 6])).
% 1.73/1.96 tff(2045,assumption,(~r(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 1.73/1.96 tff(2046,assumption,(~b(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 1.73/1.96 tff(2047,plain,
% 1.73/1.96 ($false),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[1613, 49, 1610, 2046, 2045])).
% 1.73/1.96 tff(2048,plain,(r(s(s(s(s(z)))), s(s(z))) | b(s(s(s(s(z)))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.96 tff(2049,plain,
% 1.73/1.96 (b(s(s(s(s(z)))), s(s(z)))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2048, 2044])).
% 1.73/1.96 tff(2050,plain,
% 1.73/1.96 (((~![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(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(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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2051,plain,
% 1.73/1.96 (((~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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2052,plain,
% 1.73/1.96 (((~![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(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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 1.73/1.96 inference(monotonicity,[status(thm)],[2051])).
% 1.73/1.96 tff(2053,plain,
% 1.73/1.96 (((~![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(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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.73/1.96 inference(transitivity,[status(thm)],[2052, 2050])).
% 1.73/1.96 tff(2054,plain,
% 1.73/1.96 ((~![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(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)))))))))),
% 1.73/1.96 inference(quant_inst,[status(thm)],[])).
% 1.73/1.96 tff(2055,plain,
% 1.73/1.96 ((~![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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 1.73/1.96 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 1.73/1.96 tff(2056,plain,
% 1.73/1.96 (~r(s(s(s(s(z)))), s(z))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2055, 17, 393, 167, 6])).
% 1.73/1.96 tff(2057,plain,
% 1.73/1.96 (b(s(s(s(s(z)))), s(z))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[1573, 2056])).
% 1.73/1.96 tff(2058,plain,
% 1.73/1.96 (~r(s(z), s(s(z)))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[786, 17, 5, 62, 167])).
% 1.73/1.96 tff(2059,plain,
% 1.73/1.96 (b(s(z), s(s(z)))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[698, 2058])).
% 1.73/1.96 tff(2060,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2061,plain,
% 1.73/1.96 (((~b(s(s(z)), s(z))) | (~b(s(s(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(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))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2062,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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)))))),
% 1.73/1.96 inference(monotonicity,[status(thm)],[2061])).
% 1.73/1.96 tff(2063,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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))))),
% 1.73/1.96 inference(transitivity,[status(thm)],[2062, 2060])).
% 1.73/1.96 tff(2064,plain,
% 1.73/1.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.73/1.96 inference(quant_inst,[status(thm)],[])).
% 1.73/1.96 tff(2065,plain,
% 1.73/1.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))),
% 1.73/1.96 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 1.73/1.96 tff(2066,plain,
% 1.73/1.96 ($false),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2065, 102, 2059, 168, 2057, 2049])).
% 1.73/1.96 tff(2067,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(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)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.96 tff(2068,plain,
% 1.73/1.96 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2067, 2009, 393, 1920, 2038, 2036])).
% 1.73/1.96 tff(2069,assumption,(~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.73/1.96 tff(2070,assumption,(~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.73/1.96 tff(2071,plain,
% 1.73/1.96 ($false),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[1639, 49, 1636, 2070, 2069])).
% 1.73/1.96 tff(2072,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)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.96 tff(2073,plain,
% 1.73/1.96 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.73/1.96 inference(unit_resolution,[status(thm)],[2072, 2068])).
% 1.73/1.96 tff(2074,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2075,plain,
% 1.73/1.96 (((~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(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)))))), z)) | (~b(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)))))))))),
% 1.73/1.96 inference(rewrite,[status(thm)],[])).
% 1.73/1.96 tff(2076,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 1.73/1.96 inference(monotonicity,[status(thm)],[2075])).
% 1.73/1.96 tff(2077,plain,
% 1.73/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.97 inference(transitivity,[status(thm)],[2076, 2074])).
% 1.73/1.97 tff(2078,plain,
% 1.73/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 1.73/1.97 inference(quant_inst,[status(thm)],[])).
% 1.73/1.97 tff(2079,plain,
% 1.73/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.73/1.97 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 1.73/1.97 tff(2080,plain,
% 1.73/1.97 (~b(s(s(s(s(z)))), z)),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2079, 102, 1987, 2026, 2073])).
% 1.73/1.97 tff(2081,assumption,(~b(s(s(s(s(z)))), z)), introduced(assumption)).
% 1.73/1.97 tff(2082,plain,
% 1.73/1.97 ($false),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[1592, 49, 38, 2081, 1589])).
% 1.73/1.97 tff(2083,plain,(r(s(s(s(s(z)))), z) | b(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 1.73/1.97 tff(2084,plain,
% 1.73/1.97 (r(s(s(s(s(z)))), z)),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2083, 2080])).
% 1.73/1.97 tff(2085,plain,
% 1.73/1.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(z, s(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(X0, 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(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2086,plain,
% 1.73/1.97 (((~b(z, s(s(z)))) | (~b(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(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(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(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2087,plain,
% 1.73/1.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 1.73/1.97 inference(monotonicity,[status(thm)],[2086])).
% 1.73/1.97 tff(2088,plain,
% 1.73/1.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.97 inference(transitivity,[status(thm)],[2087, 2085])).
% 1.73/1.97 tff(2089,plain,
% 1.73/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.73/1.97 inference(quant_inst,[status(thm)],[])).
% 1.73/1.97 tff(2090,plain,
% 1.73/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.73/1.97 inference(modus_ponens,[status(thm)],[2089, 2088])).
% 1.73/1.97 tff(2091,plain,
% 1.73/1.97 (~b(z, s(s(s(s(z)))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2090, 102, 1811, 1987, 2026, 2073])).
% 1.73/1.97 tff(2092,plain,
% 1.73/1.97 (r(z, s(s(s(s(z)))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[54, 2091])).
% 1.73/1.97 tff(2093,plain,
% 1.73/1.97 (((~![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(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(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(s(s(s(z)))))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2094,plain,
% 1.73/1.97 (((~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(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(s(s(z)))))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2095,plain,
% 1.73/1.97 (((~![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(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(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(s(s(z))))))))))),
% 1.73/1.97 inference(monotonicity,[status(thm)],[2094])).
% 1.73/1.97 tff(2096,plain,
% 1.73/1.97 (((~![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(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(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(s(s(z)))))))))),
% 1.73/1.97 inference(transitivity,[status(thm)],[2095, 2093])).
% 1.73/1.97 tff(2097,plain,
% 1.73/1.97 ((~![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(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)))))),
% 1.73/1.97 inference(quant_inst,[status(thm)],[])).
% 1.73/1.97 tff(2098,plain,
% 1.73/1.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.73/1.97 inference(modus_ponens,[status(thm)],[2097, 2096])).
% 1.73/1.97 tff(2099,plain,
% 1.73/1.97 ($false),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2098, 17, 5, 3, 62, 305])).
% 1.73/1.97 tff(2100,plain,((~r(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(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.97 tff(2101,plain,
% 1.73/1.97 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2100, 2036, 1712, 2038])).
% 1.73/1.97 tff(2102,plain,
% 1.73/1.97 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[341, 2101])).
% 1.73/1.97 tff(2103,plain,
% 1.73/1.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2104,plain,
% 1.73/1.97 (((~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(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)))))), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2105,plain,
% 1.73/1.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 1.73/1.97 inference(monotonicity,[status(thm)],[2104])).
% 1.73/1.97 tff(2106,plain,
% 1.73/1.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.73/1.97 inference(transitivity,[status(thm)],[2105, 2103])).
% 1.73/1.97 tff(2107,plain,
% 1.73/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.73/1.97 inference(quant_inst,[status(thm)],[])).
% 1.73/1.97 tff(2108,plain,
% 1.73/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.73/1.97 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 1.73/1.97 tff(2109,plain,
% 1.73/1.97 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2108, 102, 1987, 2026, 2102, 2073])).
% 1.73/1.97 tff(2110,plain,
% 1.73/1.97 (((~![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))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2111,plain,
% 1.73/1.97 ((~![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))))))),
% 1.73/1.97 inference(quant_inst,[status(thm)],[])).
% 1.73/1.97 tff(2112,plain,
% 1.73/1.97 ((~![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)))))),
% 1.73/1.97 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 1.73/1.97 tff(2113,plain,
% 1.73/1.97 ((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)))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2112, 49])).
% 1.73/1.97 tff(2114,plain,
% 1.73/1.97 (b(s(s(s(s(s(z))))), s(s(s(s(z))))) | r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2113, 1551])).
% 1.73/1.97 tff(2115,plain,
% 1.73/1.97 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.73/1.97 inference(unit_resolution,[status(thm)],[2114, 2109])).
% 1.73/1.97 tff(2116,plain,
% 1.73/1.97 (((~![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))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), 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(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)))))) | (~r(z, s(s(s(s(z)))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2117,plain,
% 1.73/1.97 (((~r(z, s(s(s(s(z)))))) | (~r(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))))), 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(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 1.73/1.97 inference(rewrite,[status(thm)],[])).
% 1.73/1.97 tff(2118,plain,
% 1.73/1.97 (((~![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(z)))))) | (~r(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))))), 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(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 1.73/1.97 inference(monotonicity,[status(thm)],[2117])).
% 1.73/1.97 tff(2119,plain,
% 1.73/1.97 (((~![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(z)))))) | (~r(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))))), 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(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 1.73/1.97 inference(transitivity,[status(thm)],[2118, 2116])).
% 1.73/1.97 tff(2120,plain,
% 1.73/1.97 ((~![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(z)))))) | (~r(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))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 1.73/1.98 inference(quant_inst,[status(thm)],[])).
% 1.73/1.98 tff(2121,plain,
% 1.73/1.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 1.73/1.98 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 1.73/1.98 tff(2122,plain,
% 1.73/1.98 ($false),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[2121, 17, 58, 2115, 2092, 2084])).
% 1.73/1.98 tff(2123,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.98 tff(2124,plain,
% 1.73/1.98 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[2123, 59, 90, 91, 58])).
% 1.73/1.98 tff(2125,plain,
% 1.73/1.98 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[409, 2124])).
% 1.73/1.98 tff(2126,plain,
% 1.73/1.98 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[1520, 1730, 2125, 91])).
% 1.73/1.98 tff(2127,plain,
% 1.73/1.98 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[361, 2126])).
% 1.73/1.98 tff(2128,plain,
% 1.73/1.98 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[1449, 2127, 90, 58])).
% 1.73/1.98 tff(2129,plain,
% 1.73/1.98 (b(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[252, 2128])).
% 1.73/1.98 tff(2130,plain,
% 1.73/1.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X0, 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(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.98 inference(rewrite,[status(thm)],[])).
% 1.73/1.98 tff(2131,plain,
% 1.73/1.98 (((~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(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(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.98 inference(rewrite,[status(thm)],[])).
% 1.73/1.98 tff(2132,plain,
% 1.73/1.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.73/1.98 inference(monotonicity,[status(thm)],[2131])).
% 1.73/1.98 tff(2133,plain,
% 1.73/1.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.98 inference(transitivity,[status(thm)],[2132, 2130])).
% 1.73/1.98 tff(2134,plain,
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% 1.73/1.98 inference(unit_resolution,[status(thm)],[496, 2176])).
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% 1.73/1.98 inference(rewrite,[status(thm)],[])).
% 1.73/1.98 tff(2179,plain,
% 1.73/1.98 (((~r(s(s(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(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(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.73/1.98 inference(rewrite,[status(thm)],[])).
% 1.73/1.98 tff(2180,plain,
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% 1.73/1.98 inference(monotonicity,[status(thm)],[2179])).
% 1.73/1.98 tff(2181,plain,
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% 1.73/1.98 inference(transitivity,[status(thm)],[2180, 2178])).
% 1.73/1.98 tff(2182,plain,
% 1.73/1.98 ((~![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(z)))) | (~r(s(s(s(s(s(z))))), 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))))),
% 1.73/1.98 inference(quant_inst,[status(thm)],[])).
% 1.73/1.98 tff(2183,plain,
% 1.73/1.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.73/1.98 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 1.73/1.98 tff(2184,plain,
% 1.73/1.98 ($false),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[2183, 17, 5, 67, 3, 305, 167])).
% 1.73/1.98 tff(2185,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(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(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.98 tff(2186,plain,
% 1.73/1.98 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[2185, 2177, 2143, 1712, 2155])).
% 1.73/1.98 tff(2187,plain,
% 1.73/1.98 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[341, 2186])).
% 1.73/1.98 tff(2188,plain,
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% 1.73/1.98 inference(unit_resolution,[status(thm)],[1020, 102, 2125, 2141, 2187, 91])).
% 1.73/1.98 tff(2189,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.98 tff(2190,plain,
% 1.73/1.98 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[2189, 59, 58, 91, 90])).
% 1.73/1.98 tff(2191,plain,
% 1.73/1.98 (b(s(s(s(s(s(s(z)))))), z)),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[252, 2190])).
% 1.73/1.98 tff(2192,plain,
% 1.73/1.98 (~b(z, s(z))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[1695, 125, 425, 4])).
% 1.73/1.98 tff(2193,plain,
% 1.73/1.98 (r(z, s(z))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[88, 2192])).
% 1.73/1.98 tff(2194,plain,
% 1.73/1.98 (~b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[1900, 125, 66, 59, 4, 91, 498, 58])).
% 1.73/1.98 tff(2195,plain,
% 1.73/1.98 (r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[303, 2194])).
% 1.73/1.98 tff(2196,plain,
% 1.73/1.98 ($false),
% 1.73/1.98 inference(unit_resolution,[status(thm)],[76, 2195, 2193, 58, 59])).
% 1.73/1.98 tff(2197,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~b(z, 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(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.99 tff(2198,plain,
% 1.73/1.99 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2197, 498, 59, 66, 4, 91, 58, 425])).
% 1.73/1.99 tff(2199,plain,
% 1.73/1.99 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[165, 2198])).
% 1.73/1.99 tff(2200,plain,
% 1.73/1.99 (~r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2015, 2199, 66, 4, 58, 3, 59])).
% 1.73/1.99 tff(2201,plain,
% 1.73/1.99 (b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[303, 2200])).
% 1.73/1.99 tff(2202,plain,
% 1.73/1.99 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[1520, 2201, 425, 91])).
% 1.73/1.99 tff(2203,plain,
% 1.73/1.99 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[361, 2202])).
% 1.73/1.99 tff(2204,plain,
% 1.73/1.99 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[765, 102, 425, 2201, 91])).
% 1.73/1.99 tff(2205,plain,
% 1.73/1.99 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[341, 2204])).
% 1.73/1.99 tff(2206,plain,
% 1.73/1.99 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[313, 2205, 2203, 1871])).
% 1.73/1.99 tff(2207,plain,
% 1.73/1.99 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[232, 2206])).
% 1.73/1.99 tff(2208,plain,
% 1.73/1.99 (~b(s(s(z)), s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[1748, 2207, 91, 2201])).
% 1.73/1.99 tff(2209,plain,
% 1.73/1.99 (r(s(s(z)), s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[195, 2208])).
% 1.73/1.99 tff(2210,plain,
% 1.73/1.99 (~r(z, s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[1403, 2209, 59, 1873])).
% 1.73/1.99 tff(2211,plain,
% 1.73/1.99 (b(z, s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[88, 2210])).
% 1.73/1.99 tff(2212,plain,
% 1.73/1.99 ($false),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2135, 102, 425, 2201, 4, 2211, 91])).
% 1.73/1.99 tff(2213,plain,((~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(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.99 tff(2214,plain,
% 1.73/1.99 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2213, 2125, 2191, 91, 59, 2139, 58, 1712])).
% 1.73/1.99 tff(2215,plain,
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% 1.73/1.99 inference(unit_resolution,[status(thm)],[496, 2214])).
% 1.73/1.99 tff(2216,plain,
% 1.73/1.99 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2100, 305, 3, 5])).
% 1.73/1.99 tff(2217,plain,
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% 1.73/1.99 inference(unit_resolution,[status(thm)],[279, 2216])).
% 1.73/1.99 tff(2218,plain,
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% 1.73/1.99 inference(unit_resolution,[status(thm)],[707, 2217, 66, 4])).
% 1.73/1.99 tff(2219,plain,
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% 1.73/1.99 inference(unit_resolution,[status(thm)],[1392, 2218])).
% 1.73/1.99 tff(2220,plain,
% 1.73/1.99 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2034, 2217, 4, 66])).
% 1.73/1.99 tff(2221,plain,
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% 1.73/1.99 inference(unit_resolution,[status(thm)],[538, 2220])).
% 1.73/1.99 tff(2222,plain,
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% 1.73/1.99 tff(2223,plain,
% 1.73/1.99 (((~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(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(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 1.73/1.99 inference(rewrite,[status(thm)],[])).
% 1.73/1.99 tff(2224,plain,
% 1.73/1.99 (((~![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(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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))))),
% 1.73/1.99 inference(monotonicity,[status(thm)],[2223])).
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% 1.73/1.99 inference(transitivity,[status(thm)],[2224, 2222])).
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% 1.73/1.99 inference(quant_inst,[status(thm)],[])).
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% 1.73/1.99 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 1.73/1.99 tff(2228,plain,
% 1.73/1.99 ($false),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2227, 17, 58, 3, 65, 1, 305])).
% 1.73/1.99 tff(2229,plain,((~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(z)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.99 tff(2230,plain,
% 1.73/1.99 ($false),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2229, 2221, 2219, 58, 3, 305])).
% 1.73/1.99 tff(2231,plain,((~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(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.99 tff(2232,plain,
% 1.73/1.99 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2231, 1712, 58, 2191, 2139, 2215])).
% 1.73/1.99 tff(2233,plain,
% 1.73/1.99 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[341, 2232])).
% 1.73/1.99 tff(2234,plain,
% 1.73/1.99 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[878, 2233, 91, 2125])).
% 1.73/1.99 tff(2235,plain,
% 1.73/1.99 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[165, 2234])).
% 1.73/1.99 tff(2236,plain,
% 1.73/1.99 (~r(s(s(s(s(s(z))))), s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2015, 2235, 2139, 2191, 58, 1712, 59])).
% 1.73/1.99 tff(2237,plain,
% 1.73/1.99 (b(s(s(s(s(s(z))))), s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[303, 2236])).
% 1.73/1.99 tff(2238,plain,
% 1.73/1.99 (((~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(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(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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.73/1.99 inference(rewrite,[status(thm)],[])).
% 1.73/1.99 tff(2239,plain,
% 1.73/1.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))))))),
% 1.73/1.99 inference(monotonicity,[status(thm)],[2238])).
% 1.73/1.99 tff(2240,plain,
% 1.73/1.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z))))))))),
% 1.73/1.99 inference(transitivity,[status(thm)],[2239, 760])).
% 1.73/1.99 tff(2241,plain,
% 1.73/1.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.73/1.99 inference(quant_inst,[status(thm)],[])).
% 1.73/1.99 tff(2242,plain,
% 1.73/1.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.73/1.99 inference(modus_ponens,[status(thm)],[2241, 2240])).
% 1.73/1.99 tff(2243,plain,
% 1.73/1.99 ($false),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2242, 102, 2125, 2237, 2233, 91])).
% 1.73/1.99 tff(2244,plain,((~r(s(z), z)) | (~b(s(z), 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,[]))).
% 1.73/1.99 tff(2245,plain,
% 1.73/1.99 (~r(s(z), z)),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2244, 91, 58, 90])).
% 1.73/1.99 tff(2246,plain,
% 1.73/1.99 (b(s(z), z)),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[380, 2245])).
% 1.73/1.99 tff(2247,plain,
% 1.73/1.99 (((~![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(z)))) | (~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(z)))))) <=> ((~![X0: $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(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.73/1.99 inference(rewrite,[status(thm)],[])).
% 1.73/1.99 tff(2248,plain,
% 1.73/1.99 (((~r(s(z), s(s(z)))) | (~r(z, 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(s(z), s(s(z)))) | (~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(z)))))),
% 1.73/1.99 inference(rewrite,[status(thm)],[])).
% 1.73/1.99 tff(2249,plain,
% 1.73/1.99 (((~![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(z)))) | (~r(z, 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(s(z), s(s(z)))) | (~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(z))))))),
% 1.73/1.99 inference(monotonicity,[status(thm)],[2248])).
% 1.73/1.99 tff(2250,plain,
% 1.73/1.99 (((~![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(z)))) | (~r(z, 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(s(z), s(s(z)))) | (~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(z)))))),
% 1.73/1.99 inference(transitivity,[status(thm)],[2249, 2247])).
% 1.73/1.99 tff(2251,plain,
% 1.73/1.99 ((~![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(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.73/1.99 inference(quant_inst,[status(thm)],[])).
% 1.73/1.99 tff(2252,plain,
% 1.73/1.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 1.73/1.99 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 1.73/1.99 tff(2253,plain,
% 1.73/1.99 ($false),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2252, 17, 780, 67, 68, 2, 90])).
% 1.73/1.99 tff(2254,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/1.99 tff(2255,plain,
% 1.73/1.99 (~r(z, s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2254, 1411, 90, 67, 2])).
% 1.73/1.99 tff(2256,plain,
% 1.73/1.99 (b(z, s(z))),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[88, 2255])).
% 1.73/1.99 tff(2257,plain,
% 1.73/1.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)))),
% 1.73/1.99 inference(rewrite,[status(thm)],[])).
% 1.73/1.99 tff(2258,plain,
% 1.73/1.99 (((~b(z, s(z))) | (~b(s(s(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)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)))),
% 1.73/1.99 inference(rewrite,[status(thm)],[])).
% 1.73/1.99 tff(2259,plain,
% 1.73/1.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z))))),
% 1.73/1.99 inference(monotonicity,[status(thm)],[2258])).
% 1.73/1.99 tff(2260,plain,
% 1.73/1.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)))),
% 1.73/1.99 inference(transitivity,[status(thm)],[2259, 2257])).
% 1.73/1.99 tff(2261,plain,
% 1.73/1.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 1.73/1.99 inference(quant_inst,[status(thm)],[])).
% 1.73/1.99 tff(2262,plain,
% 1.73/1.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z))),
% 1.73/1.99 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 1.73/1.99 tff(2263,plain,
% 1.73/1.99 (~b(s(s(z)), z)),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[2262, 102, 168, 2256, 2246])).
% 1.73/1.99 tff(2264,plain,
% 1.73/1.99 (r(s(s(z)), z)),
% 1.73/1.99 inference(unit_resolution,[status(thm)],[1392, 2263])).
% 1.73/1.99 tff(2265,plain,
% 1.73/1.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2266,plain,
% 1.73/2.00 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(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(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(z), s(s(s(s(s(z))))))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2267,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z), s(s(s(s(s(z)))))))))),
% 1.73/2.00 inference(monotonicity,[status(thm)],[2266])).
% 1.73/2.00 tff(2268,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.73/2.00 inference(transitivity,[status(thm)],[2267, 2265])).
% 1.73/2.00 tff(2269,plain,
% 1.73/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))))),
% 1.73/2.00 inference(quant_inst,[status(thm)],[])).
% 1.73/2.00 tff(2270,plain,
% 1.73/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z), s(s(s(s(s(z)))))))),
% 1.73/2.00 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 1.73/2.00 tff(2271,plain,
% 1.73/2.00 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2270, 102, 168, 57, 91])).
% 1.73/2.00 tff(2272,plain,
% 1.73/2.00 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[232, 2271])).
% 1.73/2.00 tff(2273,plain,
% 1.73/2.00 (((~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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2274,plain,
% 1.73/2.00 (((~![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)), 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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))))),
% 1.73/2.00 inference(monotonicity,[status(thm)],[2273])).
% 1.73/2.00 tff(2275,plain,
% 1.73/2.00 (((~![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)), 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(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.73/2.00 inference(transitivity,[status(thm)],[2274, 1668])).
% 1.73/2.00 tff(2276,plain,
% 1.73/2.00 ((~![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)), 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))))))))),
% 1.73/2.00 inference(quant_inst,[status(thm)],[])).
% 1.73/2.00 tff(2277,plain,
% 1.73/2.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))),
% 1.73/2.00 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 1.73/2.00 tff(2278,plain,
% 1.73/2.00 ($false),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2277, 17, 58, 2272, 2264, 90])).
% 1.73/2.00 tff(2279,plain,((~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.73/2.00 tff(2280,plain,
% 1.73/2.00 (~b(s(s(z)), s(z))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2279, 67, 90, 57, 91, 58, 2])).
% 1.73/2.00 tff(2281,plain,
% 1.73/2.00 (r(s(s(z)), s(z))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[195, 2280])).
% 1.73/2.00 tff(2282,plain,
% 1.73/2.00 (~b(s(s(z)), s(z))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[1228, 343, 57, 91])).
% 1.73/2.00 tff(2283,plain,
% 1.73/2.00 (r(s(s(z)), s(z))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[195, 2282])).
% 1.73/2.00 tff(2284,plain,
% 1.73/2.00 (~r(s(z), s(s(z)))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[976, 68, 2, 234])).
% 1.73/2.00 tff(2285,plain,
% 1.73/2.00 (b(s(z), s(s(z)))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[698, 2284])).
% 1.73/2.00 tff(2286,plain,
% 1.73/2.00 (((~![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(z)), s(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, 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))))))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2287,plain,
% 1.73/2.00 (((~r(z, s(z))) | (~r(s(s(z)), 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(s(s(z)), s(z))) | (~r(z, 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))))))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2288,plain,
% 1.73/2.00 (((~![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(z))) | (~r(s(s(z)), 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(s(s(z)), s(z))) | (~r(z, 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)))))))))),
% 1.73/2.00 inference(monotonicity,[status(thm)],[2287])).
% 1.73/2.00 tff(2289,plain,
% 1.73/2.00 (((~![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(z))) | (~r(s(s(z)), 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(s(s(z)), s(z))) | (~r(z, 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))))))))),
% 1.73/2.00 inference(transitivity,[status(thm)],[2288, 2286])).
% 1.73/2.00 tff(2290,plain,
% 1.73/2.00 ((~![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(z))) | (~r(s(s(z)), 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))))))))),
% 1.73/2.00 inference(quant_inst,[status(thm)],[])).
% 1.73/2.00 tff(2291,plain,
% 1.73/2.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 1.73/2.00 inference(modus_ponens,[status(thm)],[2290, 2289])).
% 1.73/2.00 tff(2292,plain,
% 1.73/2.00 ($false),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2291, 17, 234, 58, 235, 68, 65])).
% 1.73/2.00 tff(2293,plain,((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.73/2.00 tff(2294,plain,
% 1.73/2.00 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2293, 68, 58, 234, 65])).
% 1.73/2.00 tff(2295,plain,
% 1.73/2.00 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[232, 2294])).
% 1.73/2.00 tff(2296,plain,
% 1.73/2.00 ($false),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[205, 2295, 2285, 57, 91])).
% 1.73/2.00 tff(2297,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.73/2.00 tff(2298,plain,
% 1.73/2.00 (~r(z, s(z))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2297, 2283, 91, 58, 57, 1393, 2])).
% 1.73/2.00 tff(2299,plain,
% 1.73/2.00 (b(z, s(z))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[88, 2298])).
% 1.73/2.00 tff(2300,assumption,(b(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 1.73/2.00 tff(2301,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(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)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(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)))), s(z))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2302,plain,
% 1.73/2.00 (((~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(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(s(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)))), s(z))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2303,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(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)))), s(z)))))),
% 1.73/2.00 inference(monotonicity,[status(thm)],[2302])).
% 1.73/2.00 tff(2304,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(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)))), s(z))))),
% 1.73/2.00 inference(transitivity,[status(thm)],[2303, 2301])).
% 1.73/2.00 tff(2305,plain,
% 1.73/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 1.73/2.00 inference(quant_inst,[status(thm)],[])).
% 1.73/2.00 tff(2306,plain,
% 1.73/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(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)))), s(z)))),
% 1.73/2.00 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 1.73/2.00 tff(2307,plain,
% 1.73/2.00 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2306, 102, 343, 2300, 91])).
% 1.73/2.00 tff(2308,plain,
% 1.73/2.00 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 2307])).
% 1.73/2.00 tff(2309,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(z)))))) | (~b(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(X0, 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(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2310,plain,
% 1.73/2.00 (((~b(s(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(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.73/2.00 inference(rewrite,[status(thm)],[])).
% 1.73/2.00 tff(2311,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(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(X0, 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(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 1.73/2.00 inference(monotonicity,[status(thm)],[2310])).
% 1.73/2.00 tff(2312,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(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(X0, 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(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.73/2.00 inference(transitivity,[status(thm)],[2311, 2309])).
% 1.73/2.00 tff(2313,plain,
% 1.73/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(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(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 1.73/2.00 inference(quant_inst,[status(thm)],[])).
% 1.73/2.00 tff(2314,plain,
% 1.73/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))),
% 1.73/2.00 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 1.73/2.00 tff(2315,plain,
% 1.73/2.00 (~b(z, s(s(s(s(z)))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[2314, 102, 343, 2300, 382, 91])).
% 1.73/2.00 tff(2316,plain,
% 1.73/2.00 (r(z, s(s(s(s(z)))))),
% 1.73/2.00 inference(unit_resolution,[status(thm)],[54, 2315])).
% 1.73/2.00 tff(2317,plain,
% 1.73/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(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(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.73/2.01 inference(rewrite,[status(thm)],[])).
% 1.73/2.01 tff(2318,plain,
% 1.73/2.01 (((~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(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(s(z))))), 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(z)))), s(z))))),
% 1.73/2.01 inference(rewrite,[status(thm)],[])).
% 1.73/2.01 tff(2319,plain,
% 1.73/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 1.73/2.01 inference(monotonicity,[status(thm)],[2318])).
% 1.73/2.01 tff(2320,plain,
% 1.73/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.73/2.01 inference(transitivity,[status(thm)],[2319, 2317])).
% 1.73/2.01 tff(2321,plain,
% 1.73/2.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 1.73/2.01 inference(quant_inst,[status(thm)],[])).
% 1.73/2.01 tff(2322,plain,
% 1.73/2.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))),
% 1.73/2.01 inference(modus_ponens,[status(thm)],[2321, 2320])).
% 1.73/2.01 tff(2323,plain,
% 1.73/2.01 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2322, 102, 343, 2300, 91])).
% 1.73/2.01 tff(2324,plain,
% 1.73/2.01 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2114, 2323])).
% 1.73/2.01 tff(2325,plain,
% 1.73/2.01 (((~![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(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(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(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)))))))),
% 1.73/2.01 inference(rewrite,[status(thm)],[])).
% 1.73/2.01 tff(2326,plain,
% 1.73/2.01 (((~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(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)))))))),
% 1.73/2.01 inference(rewrite,[status(thm)],[])).
% 1.73/2.01 tff(2327,plain,
% 1.73/2.01 (((~![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(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(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))))))))),
% 1.73/2.01 inference(monotonicity,[status(thm)],[2326])).
% 1.73/2.01 tff(2328,plain,
% 1.73/2.01 (((~![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(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(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)))))))),
% 1.73/2.01 inference(transitivity,[status(thm)],[2327, 2325])).
% 1.73/2.01 tff(2329,plain,
% 1.73/2.01 ((~![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(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)))))))),
% 1.73/2.01 inference(quant_inst,[status(thm)],[])).
% 1.73/2.01 tff(2330,plain,
% 1.73/2.01 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))),
% 1.73/2.01 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 1.73/2.01 tff(2331,plain,
% 1.73/2.01 ($false),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2330, 17, 90, 2324, 2316, 2308])).
% 1.73/2.01 tff(2332,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(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(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.73/2.01 tff(2333,plain,
% 1.73/2.01 (~b(s(s(s(s(z)))), s(z))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2332, 343, 90, 91, 2299])).
% 1.73/2.01 tff(2334,plain,
% 1.73/2.01 (r(s(s(s(s(z)))), s(z))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[1573, 2333])).
% 1.73/2.01 tff(2335,plain,
% 1.73/2.01 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[798, 125, 91, 343])).
% 1.73/2.01 tff(2336,plain,
% 1.73/2.01 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[361, 2335])).
% 1.73/2.01 tff(2337,plain,
% 1.73/2.01 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[1449, 2336, 90, 58])).
% 1.73/2.01 tff(2338,plain,
% 1.73/2.01 (b(s(s(s(s(s(s(z)))))), z)),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[252, 2337])).
% 1.73/2.01 tff(2339,plain,
% 1.73/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.73/2.01 inference(rewrite,[status(thm)],[])).
% 1.73/2.01 tff(2340,plain,
% 1.73/2.01 (((~b(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(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(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(z), s(s(s(s(s(z))))))))),
% 1.73/2.01 inference(rewrite,[status(thm)],[])).
% 1.73/2.01 tff(2341,plain,
% 1.73/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z), s(s(s(s(s(z)))))))))),
% 1.73/2.01 inference(monotonicity,[status(thm)],[2340])).
% 1.73/2.01 tff(2342,plain,
% 1.73/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.73/2.01 inference(transitivity,[status(thm)],[2341, 2339])).
% 1.73/2.01 tff(2343,plain,
% 1.73/2.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.73/2.01 inference(quant_inst,[status(thm)],[])).
% 1.73/2.01 tff(2344,plain,
% 1.73/2.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.73/2.01 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 1.73/2.01 tff(2345,plain,
% 1.73/2.01 ($false),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2344, 102, 2338, 382, 91, 2246, 125])).
% 1.73/2.01 tff(2346,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(z, 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,[]))).
% 1.73/2.01 tff(2347,plain,
% 1.73/2.01 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2346, 2299, 91, 90, 58, 343])).
% 1.73/2.01 tff(2348,plain,
% 1.73/2.01 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[165, 2347])).
% 1.73/2.01 tff(2349,plain,
% 1.73/2.01 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[1520, 364, 343, 91])).
% 1.73/2.01 tff(2350,plain,
% 1.73/2.01 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[409, 2349])).
% 1.73/2.01 tff(2351,plain,
% 1.73/2.01 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[1441, 2350, 2283, 167])).
% 1.73/2.01 tff(2352,plain,
% 1.73/2.01 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[279, 2351])).
% 1.73/2.01 tff(2353,plain,
% 1.73/2.01 ($false),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[921, 102, 498, 364, 57, 2352])).
% 1.73/2.01 tff(2354,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(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(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)))))))), inference(lemma,lemma(discharge,[]))).
% 1.73/2.01 tff(2355,plain,
% 1.73/2.01 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2354, 2348, 57, 498, 343, 91])).
% 1.73/2.01 tff(2356,plain,
% 1.73/2.01 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[361, 2355])).
% 1.73/2.01 tff(2357,plain,
% 1.73/2.01 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[1449, 2356, 90, 58])).
% 1.73/2.01 tff(2358,plain,
% 1.73/2.01 (b(s(s(s(s(s(s(z)))))), z)),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[252, 2357])).
% 1.73/2.01 tff(2359,plain,
% 1.73/2.01 ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[984, 102, 498, 57, 2299, 91])).
% 1.73/2.01 tff(2360,plain,
% 1.73/2.01 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.73/2.01 inference(unit_resolution,[status(thm)],[2359, 2358])).
% 1.85/2.01 tff(2361,plain,
% 1.85/2.01 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[409, 2360])).
% 1.85/2.01 tff(2362,plain,
% 1.85/2.01 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[1441, 2361, 2283, 2348])).
% 1.85/2.01 tff(2363,plain,
% 1.85/2.01 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[279, 2362])).
% 1.85/2.01 tff(2364,plain,
% 1.85/2.01 (~b(s(z), s(s(z)))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[506, 2363, 57, 498, 91])).
% 1.85/2.01 tff(2365,plain,
% 1.85/2.01 (r(s(z), s(s(z)))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[698, 2364])).
% 1.85/2.01 tff(2366,plain,
% 1.85/2.01 (((~![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(z)))) | (~r(s(s(z)), 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(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.85/2.01 inference(rewrite,[status(thm)],[])).
% 1.85/2.01 tff(2367,plain,
% 1.85/2.01 (((~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(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.85/2.01 inference(rewrite,[status(thm)],[])).
% 1.85/2.01 tff(2368,plain,
% 1.85/2.01 (((~![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(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(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))))),
% 1.85/2.01 inference(monotonicity,[status(thm)],[2367])).
% 1.85/2.01 tff(2369,plain,
% 1.85/2.01 (((~![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(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(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.85/2.01 inference(transitivity,[status(thm)],[2368, 2366])).
% 1.85/2.01 tff(2370,plain,
% 1.85/2.01 ((~![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(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))))),
% 1.85/2.01 inference(quant_inst,[status(thm)],[])).
% 1.85/2.01 tff(2371,plain,
% 1.85/2.01 ((~![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(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))),
% 1.85/2.01 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 1.85/2.01 tff(2372,plain,
% 1.85/2.01 (~r(s(s(s(s(z)))), s(s(z)))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[2371, 17, 2365, 2283, 2334])).
% 1.85/2.01 tff(2373,plain,
% 1.85/2.01 (b(s(s(s(s(z)))), s(s(z)))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[2048, 2372])).
% 1.85/2.01 tff(2374,plain,
% 1.85/2.01 (((~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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.85/2.01 inference(rewrite,[status(thm)],[])).
% 1.85/2.01 tff(2375,plain,
% 1.85/2.01 (((~![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(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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 1.85/2.01 inference(monotonicity,[status(thm)],[2374])).
% 1.85/2.01 tff(2376,plain,
% 1.85/2.01 (((~![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(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(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(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 1.85/2.01 inference(transitivity,[status(thm)],[2375, 2050])).
% 1.85/2.01 tff(2377,plain,
% 1.85/2.01 ((~![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(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))))),
% 1.85/2.01 inference(quant_inst,[status(thm)],[])).
% 1.85/2.01 tff(2378,plain,
% 1.85/2.01 ((~![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(s(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)))),
% 1.85/2.01 inference(modus_ponens,[status(thm)],[2377, 2376])).
% 1.85/2.01 tff(2379,plain,
% 1.85/2.01 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[2378, 17, 2361, 2334, 2348])).
% 1.85/2.01 tff(2380,plain,
% 1.85/2.01 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.85/2.01 inference(unit_resolution,[status(thm)],[2072, 2379])).
% 1.85/2.01 tff(2381,plain,
% 1.85/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.85/2.01 inference(rewrite,[status(thm)],[])).
% 1.85/2.01 tff(2382,plain,
% 1.85/2.01 (((~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(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)))))), 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)))), s(s(s(s(s(s(z)))))))))),
% 1.85/2.01 inference(rewrite,[status(thm)],[])).
% 1.85/2.01 tff(2383,plain,
% 1.85/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 1.85/2.01 inference(monotonicity,[status(thm)],[2382])).
% 1.85/2.01 tff(2384,plain,
% 1.85/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.85/2.02 inference(transitivity,[status(thm)],[2383, 2381])).
% 1.85/2.02 tff(2385,plain,
% 1.85/2.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.85/2.02 inference(quant_inst,[status(thm)],[])).
% 1.85/2.02 tff(2386,plain,
% 1.85/2.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.85/2.02 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 1.85/2.02 tff(2387,plain,
% 1.85/2.02 ($false),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2386, 102, 498, 2363, 2380, 2373])).
% 1.85/2.02 tff(2388,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.02 tff(2389,plain,
% 1.85/2.02 (~b(s(s(s(s(s(z))))), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2388, 498, 90, 91, 57, 58, 2])).
% 1.85/2.02 tff(2390,plain,
% 1.85/2.02 (r(s(s(s(s(s(z))))), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[303, 2389])).
% 1.85/2.02 tff(2391,plain,
% 1.85/2.02 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[1346, 364, 57, 498])).
% 1.85/2.02 tff(2392,plain,
% 1.85/2.02 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[232, 2391])).
% 1.85/2.02 tff(2393,plain,
% 1.85/2.02 (~b(s(s(z)), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[1335, 364, 57, 498, 91])).
% 1.85/2.02 tff(2394,plain,
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% 1.85/2.02 inference(unit_resolution,[status(thm)],[195, 2393])).
% 1.85/2.02 tff(2395,plain,
% 1.85/2.02 (((~![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(z)), 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(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(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(z, s(s(s(s(s(z))))))))),
% 1.85/2.02 inference(rewrite,[status(thm)],[])).
% 1.85/2.02 tff(2396,plain,
% 1.85/2.02 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), 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(s(s(z)), 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(z, s(s(s(s(s(z))))))))),
% 1.85/2.02 inference(rewrite,[status(thm)],[])).
% 1.85/2.02 tff(2397,plain,
% 1.85/2.02 (((~![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(z)), 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(s(s(z)), 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(z, s(s(s(s(s(z)))))))))),
% 1.85/2.02 inference(monotonicity,[status(thm)],[2396])).
% 1.85/2.02 tff(2398,plain,
% 1.85/2.02 (((~![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(z)), 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(s(s(z)), 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(z, s(s(s(s(s(z))))))))),
% 1.85/2.02 inference(transitivity,[status(thm)],[2397, 2395])).
% 1.85/2.02 tff(2399,plain,
% 1.85/2.02 ((~![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(z)), 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)))),
% 1.85/2.02 inference(quant_inst,[status(thm)],[])).
% 1.85/2.02 tff(2400,plain,
% 1.85/2.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(modus_ponens,[status(thm)],[2399, 2398])).
% 1.85/2.02 tff(2401,plain,
% 1.85/2.02 ($false),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2400, 17, 2394, 67, 2392, 65, 90])).
% 1.85/2.02 tff(2402,plain,((~b(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(z)), z)) | (~r(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(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.02 tff(2403,plain,
% 1.85/2.02 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2402, 2390, 1393, 90, 57, 498, 91])).
% 1.85/2.02 tff(2404,plain,
% 1.85/2.02 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[361, 2403])).
% 1.85/2.02 tff(2405,plain,
% 1.85/2.02 (~r(s(z), s(s(z)))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2254, 68, 90, 67, 2])).
% 1.85/2.02 tff(2406,plain,
% 1.85/2.02 (b(s(z), s(s(z)))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[698, 2405])).
% 1.85/2.02 tff(2407,plain,
% 1.85/2.02 (~r(s(s(z)), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2297, 68, 91, 58, 57, 65, 2])).
% 1.85/2.02 tff(2408,plain,
% 1.85/2.02 (b(s(s(z)), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[195, 2407])).
% 1.85/2.02 tff(2409,plain,
% 1.85/2.02 ($false),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[176, 2408, 2406, 57, 91])).
% 1.85/2.02 tff(2410,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.02 tff(2411,plain,
% 1.85/2.02 (~r(z, s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2410, 1393, 91, 58, 57, 2, 90, 2390])).
% 1.85/2.02 tff(2412,plain,
% 1.85/2.02 (b(z, s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[88, 2411])).
% 1.85/2.02 tff(2413,plain,
% 1.85/2.02 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[1449, 64, 90, 58])).
% 1.85/2.02 tff(2414,plain,
% 1.85/2.02 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[252, 2413])).
% 1.85/2.02 tff(2415,plain,
% 1.85/2.02 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[455, 2414, 2412, 125])).
% 1.85/2.02 tff(2416,plain,
% 1.85/2.02 (r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[538, 2415])).
% 1.85/2.02 tff(2417,plain,
% 1.85/2.02 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[594, 2416, 2, 64, 90])).
% 1.85/2.02 tff(2418,plain,
% 1.85/2.02 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[995, 2416, 57, 2390, 2412, 58, 91, 498])).
% 1.85/2.02 tff(2419,plain,
% 1.85/2.02 ($false),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[279, 2418, 2417])).
% 1.85/2.02 tff(2420,plain,((~r(s(s(s(s(s(s(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)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.02 tff(2421,plain,
% 1.85/2.02 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2420, 2404, 58, 91, 498, 2, 90, 57])).
% 1.85/2.02 tff(2422,plain,
% 1.85/2.02 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[165, 2421])).
% 1.85/2.02 tff(2423,plain,
% 1.85/2.02 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[1449, 2404, 90, 58])).
% 1.85/2.02 tff(2424,plain,
% 1.85/2.02 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[252, 2423])).
% 1.85/2.02 tff(2425,plain,
% 1.85/2.02 ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[984, 102, 498, 57, 2412, 91])).
% 1.85/2.02 tff(2426,plain,
% 1.85/2.02 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2425, 2424])).
% 1.85/2.02 tff(2427,plain,
% 1.85/2.02 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[409, 2426])).
% 1.85/2.02 tff(2428,plain,
% 1.85/2.02 (((~![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(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))))),
% 1.85/2.02 inference(rewrite,[status(thm)],[])).
% 1.85/2.02 tff(2429,plain,
% 1.85/2.02 (((~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))))),
% 1.85/2.02 inference(rewrite,[status(thm)],[])).
% 1.85/2.02 tff(2430,plain,
% 1.85/2.02 (((~![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(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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 1.85/2.02 inference(monotonicity,[status(thm)],[2429])).
% 1.85/2.02 tff(2431,plain,
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% 1.85/2.02 inference(transitivity,[status(thm)],[2430, 2428])).
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% 1.85/2.02 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 1.85/2.02 tff(2434,plain,
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% 1.85/2.02 inference(unit_resolution,[status(thm)],[2433, 17, 2390, 2427, 2422])).
% 1.85/2.02 tff(2435,plain,
% 1.85/2.02 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[341, 2434])).
% 1.85/2.02 tff(2436,plain,
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% 1.85/2.02 inference(monotonicity,[status(thm)],[2436])).
% 1.85/2.02 tff(2438,plain,
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% 1.85/2.02 inference(transitivity,[status(thm)],[2437, 906])).
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% 1.85/2.02 inference(quant_inst,[status(thm)],[])).
% 1.85/2.02 tff(2440,plain,
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% 1.85/2.02 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 1.85/2.02 tff(2441,plain,
% 1.85/2.02 ($false),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2440, 102, 498, 57, 254, 60])).
% 1.85/2.02 tff(2442,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(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.02 tff(2443,plain,
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% 1.85/2.02 inference(unit_resolution,[status(thm)],[2442, 2435, 57, 498])).
% 1.85/2.02 tff(2444,plain,
% 1.85/2.02 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[279, 2443])).
% 1.85/2.02 tff(2445,plain,
% 1.85/2.02 (~r(s(s(z)), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[1441, 2444, 2427, 2422])).
% 1.85/2.02 tff(2446,plain,
% 1.85/2.02 (b(s(s(z)), s(z))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[195, 2445])).
% 1.85/2.02 tff(2447,plain,
% 1.85/2.02 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[2270, 102, 2446, 57, 91])).
% 1.85/2.02 tff(2448,plain,
% 1.85/2.02 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.02 inference(unit_resolution,[status(thm)],[232, 2447])).
% 1.85/2.02 tff(2449,plain,
% 1.85/2.02 (((~![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(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(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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.02 inference(rewrite,[status(thm)],[])).
% 1.85/2.02 tff(2450,plain,
% 1.85/2.02 (((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.03 inference(rewrite,[status(thm)],[])).
% 1.85/2.03 tff(2451,plain,
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% 1.85/2.03 inference(monotonicity,[status(thm)],[2450])).
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% 1.85/2.03 inference(transitivity,[status(thm)],[2451, 2449])).
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% 1.85/2.03 inference(quant_inst,[status(thm)],[])).
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% 1.85/2.03 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 1.85/2.03 tff(2455,plain,
% 1.85/2.03 ($false),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[2454, 17, 58, 2448, 1393, 2444, 2404])).
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% 1.85/2.03 tff(2457,plain,
% 1.85/2.03 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[2456, 2, 57, 91, 58, 90])).
% 1.85/2.03 tff(2458,plain,
% 1.85/2.03 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[496, 2457])).
% 1.85/2.03 tff(2459,plain,
% 1.85/2.03 (((~![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(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
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% 1.85/2.03 tff(2460,plain,
% 1.85/2.03 (((~r(s(s(z)), s(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.85/2.03 inference(rewrite,[status(thm)],[])).
% 1.85/2.03 tff(2461,plain,
% 1.85/2.03 (((~![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(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))))),
% 1.85/2.03 inference(monotonicity,[status(thm)],[2460])).
% 1.85/2.03 tff(2462,plain,
% 1.85/2.03 (((~![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(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.85/2.03 inference(transitivity,[status(thm)],[2461, 2459])).
% 1.85/2.03 tff(2463,plain,
% 1.85/2.03 ((~![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(z))) | (~r(z, 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)))))))))),
% 1.85/2.03 inference(quant_inst,[status(thm)],[])).
% 1.85/2.03 tff(2464,plain,
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% 1.85/2.03 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 1.85/2.03 tff(2465,plain,
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[2464, 17, 234, 5, 68, 2, 1])).
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[2466, 68, 2, 2458, 2281])).
% 1.85/2.03 tff(2468,plain,
% 1.85/2.03 (b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[538, 2467])).
% 1.85/2.03 tff(2469,plain,
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[2297, 68, 91, 58, 57, 2281, 2])).
% 1.85/2.03 tff(2470,plain,
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[1392, 2469])).
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[529, 2470, 2468, 91, 57, 2406, 58])).
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% 1.85/2.03 tff(2473,plain,
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[2472, 67, 57, 58, 2, 90, 91])).
% 1.85/2.03 tff(2474,plain,
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[88, 2473])).
% 1.85/2.03 tff(2475,plain,
% 1.85/2.03 (((~![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)), 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)))))) <=> ((~![X0: $i, X3: $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(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.85/2.03 inference(rewrite,[status(thm)],[])).
% 1.85/2.03 tff(2476,plain,
% 1.85/2.03 (((~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(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)))))),
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% 1.85/2.03 inference(transitivity,[status(thm)],[2477, 2475])).
% 1.85/2.03 tff(2479,plain,
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% 1.85/2.03 inference(quant_inst,[status(thm)],[])).
% 1.85/2.03 tff(2480,plain,
% 1.85/2.03 ((~![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)), 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))))),
% 1.85/2.03 inference(modus_ponens,[status(thm)],[2479, 2478])).
% 1.85/2.03 tff(2481,plain,
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% 1.85/2.03 inference(unit_resolution,[status(thm)],[2480, 17, 5, 63, 65, 2])).
% 1.85/2.03 tff(2482,plain,((~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(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.03 tff(2483,plain,
% 1.85/2.03 (~r(s(s(z)), z)),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[2482, 63, 2, 2458])).
% 1.85/2.03 tff(2484,plain,
% 1.85/2.03 (b(s(s(z)), z)),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[1392, 2483])).
% 1.85/2.03 tff(2485,plain,
% 1.85/2.03 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[1287, 2484, 91, 57, 58])).
% 1.85/2.03 tff(2486,plain,
% 1.85/2.03 (b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[538, 2485])).
% 1.85/2.03 tff(2487,plain,
% 1.85/2.03 (~b(s(z), s(s(z)))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[690, 2484, 91, 58, 57])).
% 1.85/2.03 tff(2488,plain,
% 1.85/2.03 (r(s(z), s(s(z)))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[698, 2487])).
% 1.85/2.03 tff(2489,plain,
% 1.85/2.03 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[856, 2488, 2458, 2281])).
% 1.85/2.03 tff(2490,plain,
% 1.85/2.03 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[409, 2489])).
% 1.85/2.03 tff(2491,plain,
% 1.85/2.03 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[433, 2490, 2474, 2486])).
% 1.85/2.03 tff(2492,plain,
% 1.85/2.03 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[165, 2491])).
% 1.85/2.03 tff(2493,plain,
% 1.85/2.03 (((~![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(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(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(z))))), s(s(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(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.03 inference(rewrite,[status(thm)],[])).
% 1.85/2.03 tff(2494,plain,
% 1.85/2.03 (((~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(z))))), s(s(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(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.03 inference(rewrite,[status(thm)],[])).
% 1.85/2.03 tff(2495,plain,
% 1.85/2.03 (((~![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)))))), 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(z))))), s(s(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(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 1.85/2.03 inference(monotonicity,[status(thm)],[2494])).
% 1.85/2.03 tff(2496,plain,
% 1.85/2.03 (((~![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)))))), 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(z))))), s(s(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(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.03 inference(transitivity,[status(thm)],[2495, 2493])).
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% 1.85/2.03 inference(quant_inst,[status(thm)],[])).
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% 1.85/2.03 ((~![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(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(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 1.85/2.03 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 1.85/2.03 tff(2499,plain,
% 1.85/2.03 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[2498, 17, 58, 67, 63, 2492])).
% 1.85/2.03 tff(2500,plain,
% 1.85/2.03 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[341, 2499])).
% 1.85/2.03 tff(2501,plain,
% 1.85/2.03 (((~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(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(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))))))))),
% 1.85/2.03 inference(rewrite,[status(thm)],[])).
% 1.85/2.03 tff(2502,plain,
% 1.85/2.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.85/2.03 inference(monotonicity,[status(thm)],[2501])).
% 1.85/2.03 tff(2503,plain,
% 1.85/2.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.85/2.03 inference(transitivity,[status(thm)],[2502, 1015])).
% 1.85/2.03 tff(2504,plain,
% 1.85/2.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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))))),
% 1.85/2.03 inference(quant_inst,[status(thm)],[])).
% 1.85/2.03 tff(2505,plain,
% 1.85/2.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.85/2.03 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 1.85/2.03 tff(2506,plain,
% 1.85/2.03 ($false),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[2505, 102, 2490, 2141, 2500, 91])).
% 1.85/2.03 tff(2507,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.03 tff(2508,plain,
% 1.85/2.03 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[2507, 67, 58, 91, 57, 2, 90])).
% 1.85/2.03 tff(2509,plain,
% 1.85/2.03 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[252, 2508])).
% 1.85/2.03 tff(2510,plain,
% 1.85/2.03 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, 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(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))))),
% 1.85/2.03 inference(rewrite,[status(thm)],[])).
% 1.85/2.03 tff(2511,plain,
% 1.85/2.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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)))))),
% 1.85/2.03 inference(monotonicity,[status(thm)],[2510])).
% 1.85/2.03 tff(2512,plain,
% 1.85/2.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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))))),
% 1.85/2.03 inference(transitivity,[status(thm)],[2511, 1002])).
% 1.85/2.03 tff(2513,plain,
% 1.85/2.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 1.85/2.03 inference(quant_inst,[status(thm)],[])).
% 1.85/2.03 tff(2514,plain,
% 1.85/2.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 1.85/2.03 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 1.85/2.03 tff(2515,plain,
% 1.85/2.03 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[2514, 102, 2509, 2474, 2246])).
% 1.85/2.03 tff(2516,plain,
% 1.85/2.03 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[409, 2515])).
% 1.85/2.03 tff(2517,plain,
% 1.85/2.03 (~r(s(z), s(s(z)))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[856, 2516, 2458, 2281])).
% 1.85/2.03 tff(2518,plain,
% 1.85/2.03 (b(s(z), s(s(z)))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[698, 2517])).
% 1.85/2.03 tff(2519,plain,
% 1.85/2.03 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[205, 2518, 57, 91])).
% 1.85/2.03 tff(2520,plain,
% 1.85/2.03 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[232, 2519])).
% 1.85/2.03 tff(2521,plain,
% 1.85/2.03 (~b(s(s(z)), z)),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[690, 2518, 91, 58, 57])).
% 1.85/2.03 tff(2522,plain,
% 1.85/2.03 (r(s(s(z)), z)),
% 1.85/2.03 inference(unit_resolution,[status(thm)],[1392, 2521])).
% 1.85/2.03 tff(2523,plain,
% 1.85/2.03 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2400, 17, 2281, 67, 90])).
% 1.85/2.04 tff(2524,plain,
% 1.85/2.04 ($false),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2523, 2522, 2520])).
% 1.85/2.04 tff(2525,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.04 tff(2526,plain,
% 1.85/2.04 (~r(s(s(s(s(s(z))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2525, 2, 91, 58, 57, 90])).
% 1.85/2.04 tff(2527,plain,
% 1.85/2.04 (b(s(s(s(s(s(z))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[303, 2526])).
% 1.85/2.04 tff(2528,plain,
% 1.85/2.04 (~b(s(s(z)), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1228, 2527, 57, 91])).
% 1.85/2.04 tff(2529,plain,
% 1.85/2.04 (r(s(s(z)), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[195, 2528])).
% 1.85/2.04 tff(2530,plain,
% 1.85/2.04 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2466, 68, 2, 5, 234])).
% 1.85/2.04 tff(2531,plain,
% 1.85/2.04 (b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[538, 2530])).
% 1.85/2.04 tff(2532,plain,
% 1.85/2.04 (~r(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2297, 68, 91, 58, 57, 234, 2])).
% 1.85/2.04 tff(2533,plain,
% 1.85/2.04 (b(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1392, 2532])).
% 1.85/2.04 tff(2534,plain,
% 1.85/2.04 ($false),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[529, 2533, 2531, 91, 57, 2285, 58])).
% 1.85/2.04 tff(2535,plain,((~r(z, s(z))) | (~b(s(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(s(z)), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.04 tff(2536,plain,
% 1.85/2.04 (~r(z, s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2535, 2529, 57, 58, 91, 2, 2458])).
% 1.85/2.04 tff(2537,plain,
% 1.85/2.04 (b(z, s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[88, 2536])).
% 1.85/2.04 tff(2538,plain,
% 1.85/2.04 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2346, 2537, 91, 90, 58, 2527])).
% 1.85/2.04 tff(2539,plain,
% 1.85/2.04 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[165, 2538])).
% 1.85/2.04 tff(2540,plain,
% 1.85/2.04 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[856, 1291, 5, 2283])).
% 1.85/2.04 tff(2541,plain,
% 1.85/2.04 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[409, 2540])).
% 1.85/2.04 tff(2542,plain,
% 1.85/2.04 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1520, 2541, 343, 91])).
% 1.85/2.04 tff(2543,plain,
% 1.85/2.04 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[361, 2542])).
% 1.85/2.04 tff(2544,plain,
% 1.85/2.04 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1449, 2543, 90, 58])).
% 1.85/2.04 tff(2545,plain,
% 1.85/2.04 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[252, 2544])).
% 1.85/2.04 tff(2546,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2547,plain,
% 1.85/2.04 (((~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(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2548,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.85/2.04 inference(monotonicity,[status(thm)],[2547])).
% 1.85/2.04 tff(2549,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.04 inference(transitivity,[status(thm)],[2548, 2546])).
% 1.85/2.04 tff(2550,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 1.85/2.04 inference(quant_inst,[status(thm)],[])).
% 1.85/2.04 tff(2551,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.85/2.04 inference(modus_ponens,[status(thm)],[2550, 2549])).
% 1.85/2.04 tff(2552,plain,
% 1.85/2.04 ($false),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2551, 102, 2541, 2545, 1289, 2246])).
% 1.85/2.04 tff(2553,plain,((~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.04 tff(2554,plain,
% 1.85/2.04 (~b(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2553, 2527, 58, 90, 91, 2458, 57])).
% 1.85/2.04 tff(2555,plain,
% 1.85/2.04 (r(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1392, 2554])).
% 1.85/2.04 tff(2556,plain,
% 1.85/2.04 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2482, 2555, 2, 2458])).
% 1.85/2.04 tff(2557,plain,
% 1.85/2.04 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[252, 2556])).
% 1.85/2.04 tff(2558,plain,
% 1.85/2.04 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2514, 102, 2557, 2537, 2246])).
% 1.85/2.04 tff(2559,plain,
% 1.85/2.04 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[409, 2558])).
% 1.85/2.04 tff(2560,plain,
% 1.85/2.04 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1441, 2559, 2529, 2539])).
% 1.85/2.04 tff(2561,plain,
% 1.85/2.04 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[279, 2560])).
% 1.85/2.04 tff(2562,plain,
% 1.85/2.04 (~r(s(z), s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[856, 2559, 2458, 2529])).
% 1.85/2.04 tff(2563,plain,
% 1.85/2.04 (b(s(z), s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[698, 2562])).
% 1.85/2.04 tff(2564,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(s(s(s(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2565,plain,
% 1.85/2.04 (((~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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))) <=> ((~b(s(z), z)) | (~b(s(z), 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2566,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.85/2.04 inference(monotonicity,[status(thm)],[2565])).
% 1.85/2.04 tff(2567,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.04 inference(transitivity,[status(thm)],[2566, 2564])).
% 1.85/2.04 tff(2568,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.04 inference(quant_inst,[status(thm)],[])).
% 1.85/2.04 tff(2569,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(modus_ponens,[status(thm)],[2568, 2567])).
% 1.85/2.04 tff(2570,plain,
% 1.85/2.04 ($false),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2569, 102, 2563, 2557, 57, 2561, 91, 2246])).
% 1.85/2.04 tff(2571,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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,[]))).
% 1.85/2.04 tff(2572,plain,
% 1.85/2.04 (~r(z, s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2571, 57, 91, 58, 90])).
% 1.85/2.04 tff(2573,plain,
% 1.85/2.04 (b(z, s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[122, 2572])).
% 1.85/2.04 tff(2574,plain,
% 1.85/2.04 (~b(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[842, 1490, 57, 58, 2573, 168, 91])).
% 1.85/2.04 tff(2575,plain,
% 1.85/2.04 (r(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1392, 2574])).
% 1.85/2.04 tff(2576,plain,
% 1.85/2.04 ($false),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1673, 17, 58, 2272, 2575, 90])).
% 1.85/2.04 tff(2577,plain,((~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.04 tff(2578,plain,
% 1.85/2.04 (~b(s(s(z)), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2577, 57, 90, 58, 91])).
% 1.85/2.04 tff(2579,plain,
% 1.85/2.04 (r(s(s(z)), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[195, 2578])).
% 1.85/2.04 tff(2580,plain,
% 1.85/2.04 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1384, 56, 91, 57, 58])).
% 1.85/2.04 tff(2581,plain,
% 1.85/2.04 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[496, 2580])).
% 1.85/2.04 tff(2582,plain,
% 1.85/2.04 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[856, 2581, 1291, 234])).
% 1.85/2.04 tff(2583,plain,
% 1.85/2.04 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[409, 2582])).
% 1.85/2.04 tff(2584,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), s(z))) | (~b(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(X0, 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)))))), s(z))) | (~b(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))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2585,plain,
% 1.85/2.04 (((~b(s(z), 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))) <=> ((~b(s(z), 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), s(s(s(s(s(z))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2586,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), s(z))) | (~b(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)))))))))),
% 1.85/2.04 inference(monotonicity,[status(thm)],[2585])).
% 1.85/2.04 tff(2587,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), s(z))) | (~b(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))))))))),
% 1.85/2.04 inference(transitivity,[status(thm)],[2586, 2584])).
% 1.85/2.04 tff(2588,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 1.85/2.04 inference(quant_inst,[status(thm)],[])).
% 1.85/2.04 tff(2589,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), s(z))) | (~b(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)))))))),
% 1.85/2.04 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 1.85/2.04 tff(2590,plain,
% 1.85/2.04 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2589, 102, 2583, 1289, 91, 363])).
% 1.85/2.04 tff(2591,plain,
% 1.85/2.04 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[165, 2590])).
% 1.85/2.04 tff(2592,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(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)))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2593,plain,
% 1.85/2.04 (((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(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(z)), z))) <=> ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(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)))))))))),
% 1.85/2.04 inference(rewrite,[status(thm)],[])).
% 1.85/2.04 tff(2594,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(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))))))))))),
% 1.85/2.04 inference(monotonicity,[status(thm)],[2593])).
% 1.85/2.04 tff(2595,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(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)))))))))),
% 1.85/2.04 inference(transitivity,[status(thm)],[2594, 2592])).
% 1.85/2.04 tff(2596,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), z)))),
% 1.85/2.04 inference(quant_inst,[status(thm)],[])).
% 1.85/2.04 tff(2597,plain,
% 1.85/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.85/2.04 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 1.85/2.04 tff(2598,plain,
% 1.85/2.04 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2597, 102, 2583, 56, 1289, 363])).
% 1.85/2.04 tff(2599,plain,
% 1.85/2.04 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[279, 2598])).
% 1.85/2.04 tff(2600,plain,
% 1.85/2.04 ($false),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[901, 17, 1291, 2581, 2599, 2591])).
% 1.85/2.04 tff(2601,plain,((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.04 tff(2602,plain,
% 1.85/2.04 (~b(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[2601, 2579, 91, 2246, 58, 57])).
% 1.85/2.04 tff(2603,plain,
% 1.85/2.04 (r(s(s(z)), z)),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1392, 2602])).
% 1.85/2.04 tff(2604,plain,
% 1.85/2.04 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[1673, 17, 58, 2603, 90])).
% 1.85/2.04 tff(2605,plain,
% 1.85/2.04 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[232, 2604])).
% 1.85/2.04 tff(2606,plain,
% 1.85/2.04 (~b(s(z), s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[205, 2605, 57, 91])).
% 1.85/2.04 tff(2607,plain,
% 1.85/2.04 (r(s(z), s(s(z)))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[698, 2606])).
% 1.85/2.04 tff(2608,plain,
% 1.85/2.04 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[642, 498, 57, 197, 90])).
% 1.85/2.04 tff(2609,plain,
% 1.85/2.04 (b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.04 inference(unit_resolution,[status(thm)],[538, 2608])).
% 1.85/2.04 tff(2610,plain,
% 1.85/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2611,plain,
% 1.85/2.05 (((~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(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(z, 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(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2612,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.85/2.05 inference(monotonicity,[status(thm)],[2611])).
% 1.85/2.05 tff(2613,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(transitivity,[status(thm)],[2612, 2610])).
% 1.85/2.05 tff(2614,plain,
% 1.85/2.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(quant_inst,[status(thm)],[])).
% 1.85/2.05 tff(2615,plain,
% 1.85/2.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 1.85/2.05 tff(2616,plain,
% 1.85/2.05 ($false),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2615, 102, 66, 498, 57, 2609, 197])).
% 1.85/2.05 tff(2617,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.05 tff(2618,plain,
% 1.85/2.05 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2617, 2573, 57, 2605, 90])).
% 1.85/2.05 tff(2619,plain,
% 1.85/2.05 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[496, 2618])).
% 1.85/2.05 tff(2620,plain,
% 1.85/2.05 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[856, 2619, 2607, 2579])).
% 1.85/2.05 tff(2621,plain,
% 1.85/2.05 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[409, 2620])).
% 1.85/2.05 tff(2622,plain,
% 1.85/2.05 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[878, 125, 91, 425])).
% 1.85/2.05 tff(2623,plain,
% 1.85/2.05 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[341, 2622])).
% 1.85/2.05 tff(2624,plain,
% 1.85/2.05 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[680, 2623, 58, 1])).
% 1.85/2.05 tff(2625,plain,
% 1.85/2.05 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[252, 2624])).
% 1.85/2.05 tff(2626,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z), s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2627,plain,
% 1.85/2.05 (((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, 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(z, s(s(z)))) | (~b(s(z), z)) | (~b(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(z), s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2628,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(s(s(s(z))))))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z), s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(monotonicity,[status(thm)],[2627])).
% 1.85/2.05 tff(2629,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(s(s(s(z))))))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z), s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(transitivity,[status(thm)],[2628, 2626])).
% 1.85/2.05 tff(2630,plain,
% 1.85/2.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(s(s(s(z))))))) | (~b(z, 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)))))))))),
% 1.85/2.05 inference(quant_inst,[status(thm)],[])).
% 1.85/2.05 tff(2631,plain,
% 1.85/2.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 1.85/2.05 tff(2632,plain,
% 1.85/2.05 ($false),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2631, 102, 66, 2625, 197, 91, 363, 125])).
% 1.85/2.05 tff(2633,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(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), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.05 tff(2634,plain,
% 1.85/2.05 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2633, 1, 2605, 91, 2246, 58, 2573, 2621])).
% 1.85/2.05 tff(2635,plain,
% 1.85/2.05 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[165, 2634])).
% 1.85/2.05 tff(2636,plain,
% 1.85/2.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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))))))) | (~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(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))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2637,plain,
% 1.85/2.05 (((~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(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))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2638,plain,
% 1.85/2.05 (((~![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(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(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))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 1.85/2.05 inference(monotonicity,[status(thm)],[2637])).
% 1.85/2.05 tff(2639,plain,
% 1.85/2.05 (((~![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(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(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))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(transitivity,[status(thm)],[2638, 2636])).
% 1.85/2.05 tff(2640,plain,
% 1.85/2.05 ((~![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(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))))))))),
% 1.85/2.05 inference(quant_inst,[status(thm)],[])).
% 1.85/2.05 tff(2641,plain,
% 1.85/2.05 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 1.85/2.05 tff(2642,plain,
% 1.85/2.05 ($false),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2641, 17, 67, 68, 1, 90, 167])).
% 1.85/2.05 tff(2643,plain,((~r(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(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.05 tff(2644,plain,
% 1.85/2.05 (~r(s(s(s(s(s(z))))), s(z))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2643, 2635, 90, 1, 68])).
% 1.85/2.05 tff(2645,plain,
% 1.85/2.05 (b(s(s(s(s(s(z))))), s(z))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[303, 2644])).
% 1.85/2.05 tff(2646,plain,
% 1.85/2.05 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[1520, 2645, 2621, 91])).
% 1.85/2.05 tff(2647,plain,
% 1.85/2.05 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[361, 2646])).
% 1.85/2.05 tff(2648,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2649,plain,
% 1.85/2.05 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(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(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(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2650,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(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(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(monotonicity,[status(thm)],[2649])).
% 1.85/2.05 tff(2651,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(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(X0, 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(s(z)))))), 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(z), s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(transitivity,[status(thm)],[2650, 2648])).
% 1.85/2.05 tff(2652,plain,
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% 1.85/2.05 inference(quant_inst,[status(thm)],[])).
% 1.85/2.05 tff(2653,plain,
% 1.85/2.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 1.85/2.05 tff(2654,plain,
% 1.85/2.05 ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2653, 102, 2621, 57, 91])).
% 1.85/2.05 tff(2655,plain,
% 1.85/2.05 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2654, 2645])).
% 1.85/2.05 tff(2656,plain,
% 1.85/2.05 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[341, 2655])).
% 1.85/2.05 tff(2657,plain,
% 1.85/2.05 ($false),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[640, 17, 1, 90, 2656, 2647])).
% 1.85/2.05 tff(2658,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.05 tff(2659,plain,
% 1.85/2.05 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[2658, 68, 57, 91, 90, 58])).
% 1.85/2.05 tff(2660,plain,
% 1.85/2.05 (b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.05 inference(unit_resolution,[status(thm)],[538, 2659])).
% 1.85/2.05 tff(2661,plain,
% 1.85/2.05 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~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(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.05 inference(rewrite,[status(thm)],[])).
% 1.85/2.05 tff(2662,plain,
% 1.85/2.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.85/2.06 inference(monotonicity,[status(thm)],[2661])).
% 1.85/2.06 tff(2663,plain,
% 1.85/2.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.85/2.06 inference(transitivity,[status(thm)],[2662, 2546])).
% 1.85/2.06 tff(2664,plain,
% 1.85/2.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 1.85/2.06 inference(quant_inst,[status(thm)],[])).
% 1.85/2.06 tff(2665,plain,
% 1.85/2.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.85/2.06 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 1.85/2.06 tff(2666,plain,
% 1.85/2.06 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2665, 102, 2621, 2660, 2246])).
% 1.85/2.06 tff(2667,plain,
% 1.85/2.06 (r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[252, 2666])).
% 1.85/2.06 tff(2668,plain,
% 1.85/2.06 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1449, 2667, 90, 58])).
% 1.85/2.06 tff(2669,plain,
% 1.85/2.06 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[361, 2668])).
% 1.85/2.06 tff(2670,plain,
% 1.85/2.06 (~b(s(s(s(s(s(z))))), s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1520, 2669, 2621, 91])).
% 1.85/2.06 tff(2671,plain,
% 1.85/2.06 (r(s(s(s(s(s(z))))), s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[303, 2670])).
% 1.85/2.06 tff(2672,plain,
% 1.85/2.06 (((~![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(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(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(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(z))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2673,plain,
% 1.85/2.06 (((~r(z, 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(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(z))) | (~r(s(s(s(s(s(s(z)))))), z)))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2674,plain,
% 1.85/2.06 (((~![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(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)))))))))) <=> ((~![X0: $i, 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(s(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(s(s(z)))))), z))))),
% 1.85/2.06 inference(monotonicity,[status(thm)],[2673])).
% 1.85/2.06 tff(2675,plain,
% 1.85/2.06 (((~![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(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)))))))))) <=> ((~![X0: $i, 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(s(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(s(s(z)))))), z)))),
% 1.85/2.06 inference(transitivity,[status(thm)],[2674, 2672])).
% 1.85/2.06 tff(2676,plain,
% 1.85/2.06 ((~![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(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)))))))))),
% 1.85/2.06 inference(quant_inst,[status(thm)],[])).
% 1.85/2.06 tff(2677,plain,
% 1.85/2.06 ((~![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(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(z))) | (~r(s(s(s(s(s(s(z)))))), z))),
% 1.85/2.06 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 1.85/2.06 tff(2678,plain,
% 1.85/2.06 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2677, 17, 58, 2671, 68, 2667])).
% 1.85/2.06 tff(2679,plain,
% 1.85/2.06 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[341, 2678])).
% 1.85/2.06 tff(2680,plain,
% 1.85/2.06 (((~![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(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(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(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2681,plain,
% 1.85/2.06 (((~r(z, 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(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2682,plain,
% 1.85/2.06 (((~![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(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)))))))))) <=> ((~![X0: $i, X3: $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(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.85/2.06 inference(monotonicity,[status(thm)],[2681])).
% 1.85/2.06 tff(2683,plain,
% 1.85/2.06 (((~![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(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)))))))))) <=> ((~![X0: $i, X3: $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(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.06 inference(transitivity,[status(thm)],[2682, 2680])).
% 1.85/2.06 tff(2684,plain,
% 1.85/2.06 ((~![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(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)))))))))),
% 1.85/2.06 inference(quant_inst,[status(thm)],[])).
% 1.85/2.06 tff(2685,plain,
% 1.85/2.06 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.85/2.06 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 1.85/2.06 tff(2686,plain,
% 1.85/2.06 ($false),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2685, 17, 234, 68, 63, 65, 62])).
% 1.85/2.06 tff(2687,plain,((~r(z, 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))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.06 tff(2688,plain,
% 1.85/2.06 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2687, 2667, 2603, 68, 2579])).
% 1.85/2.06 tff(2689,plain,
% 1.85/2.06 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[279, 2688])).
% 1.85/2.06 tff(2690,plain,
% 1.85/2.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))))))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2691,plain,
% 1.85/2.06 (((~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(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(s(s(z)))))))) | (~b(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(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2692,plain,
% 1.85/2.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))))))),
% 1.85/2.06 inference(monotonicity,[status(thm)],[2691])).
% 1.85/2.06 tff(2693,plain,
% 1.85/2.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z))))))))),
% 1.85/2.06 inference(transitivity,[status(thm)],[2692, 2690])).
% 1.85/2.06 tff(2694,plain,
% 1.85/2.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 1.85/2.06 inference(quant_inst,[status(thm)],[])).
% 1.85/2.06 tff(2695,plain,
% 1.85/2.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 1.85/2.06 tff(2696,plain,
% 1.85/2.06 ($false),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2695, 102, 2621, 2689, 2679, 2605, 91])).
% 1.85/2.06 tff(2697,plain,((~r(z, s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.06 tff(2698,plain,
% 1.85/2.06 (~r(z, s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2697, 57, 58, 90, 91])).
% 1.85/2.06 tff(2699,plain,
% 1.85/2.06 (b(z, s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[88, 2698])).
% 1.85/2.06 tff(2700,plain,
% 1.85/2.06 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1653, 2699, 57, 2573, 2621, 91])).
% 1.85/2.06 tff(2701,plain,
% 1.85/2.06 (r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[538, 2700])).
% 1.85/2.06 tff(2702,plain,
% 1.85/2.06 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1007, 102, 2621, 2699, 2246])).
% 1.85/2.06 tff(2703,plain,
% 1.85/2.06 (r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[252, 2702])).
% 1.85/2.06 tff(2704,plain,
% 1.85/2.06 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[680, 2703, 58, 2701])).
% 1.85/2.06 tff(2705,plain,
% 1.85/2.06 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[341, 2704])).
% 1.85/2.06 tff(2706,plain,
% 1.85/2.06 (((~![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(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(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(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2707,plain,
% 1.85/2.06 (((~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)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2708,plain,
% 1.85/2.06 (((~![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(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X3: $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(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.85/2.06 inference(monotonicity,[status(thm)],[2707])).
% 1.85/2.06 tff(2709,plain,
% 1.85/2.06 (((~![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(s(s(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(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.06 inference(transitivity,[status(thm)],[2708, 2706])).
% 1.85/2.06 tff(2710,plain,
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% 1.85/2.06 inference(modus_ponens,[status(thm)],[2710, 2709])).
% 1.85/2.06 tff(2712,plain,
% 1.85/2.06 ($false),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2711, 17, 63, 65, 1, 62])).
% 1.85/2.06 tff(2713,plain,((~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(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.06 tff(2714,plain,
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% 1.85/2.06 inference(unit_resolution,[status(thm)],[2713, 2703, 2701, 2603])).
% 1.85/2.06 tff(2715,plain,
% 1.85/2.06 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[279, 2714])).
% 1.85/2.06 tff(2716,plain,
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% 1.85/2.06 inference(unit_resolution,[status(thm)],[2695, 102, 2621, 2715, 2705, 2605, 91])).
% 1.85/2.06 tff(2717,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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,[]))).
% 1.85/2.06 tff(2718,plain,
% 1.85/2.06 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2717, 91, 58, 90])).
% 1.85/2.06 tff(2719,plain,
% 1.85/2.06 (r(s(s(s(s(s(z))))), s(s(z)))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1711, 2718])).
% 1.85/2.06 tff(2720,plain,
% 1.85/2.06 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1520, 2141, 343, 91])).
% 1.85/2.06 tff(2721,plain,
% 1.85/2.06 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[409, 2720])).
% 1.85/2.06 tff(2722,plain,
% 1.85/2.06 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1520, 425, 343, 91])).
% 1.85/2.06 tff(2723,plain,
% 1.85/2.06 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[361, 2722])).
% 1.85/2.06 tff(2724,plain,
% 1.85/2.06 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[1449, 2723, 90, 58])).
% 1.85/2.06 tff(2725,plain,
% 1.85/2.06 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[252, 2724])).
% 1.85/2.06 tff(2726,plain,
% 1.85/2.06 ($false),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2514, 102, 425, 2725, 382, 2246])).
% 1.85/2.06 tff(2727,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.06 tff(2728,plain,
% 1.85/2.06 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[2727, 382, 90, 58, 343, 91])).
% 1.85/2.06 tff(2729,plain,
% 1.85/2.06 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.06 inference(unit_resolution,[status(thm)],[409, 2728])).
% 1.85/2.06 tff(2730,plain,
% 1.85/2.06 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)))),
% 1.85/2.06 inference(rewrite,[status(thm)],[])).
% 1.85/2.06 tff(2731,plain,
% 1.85/2.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z))))),
% 1.85/2.06 inference(monotonicity,[status(thm)],[2730])).
% 1.85/2.06 tff(2732,plain,
% 1.85/2.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)))),
% 1.85/2.06 inference(transitivity,[status(thm)],[2731, 835])).
% 1.85/2.06 tff(2733,plain,
% 1.85/2.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 1.85/2.07 inference(quant_inst,[status(thm)],[])).
% 1.85/2.07 tff(2734,plain,
% 1.85/2.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z))),
% 1.85/2.07 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 1.85/2.07 tff(2735,plain,
% 1.85/2.07 ($false),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2734, 102, 66, 56, 168, 363])).
% 1.85/2.07 tff(2736,plain,((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.07 tff(2737,plain,
% 1.85/2.07 (~b(z, s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2736, 56, 168, 2246])).
% 1.85/2.07 tff(2738,plain,
% 1.85/2.07 (r(z, s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[122, 2737])).
% 1.85/2.07 tff(2739,plain,
% 1.85/2.07 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[1720, 2738, 2719, 90])).
% 1.85/2.07 tff(2740,plain,
% 1.85/2.07 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[232, 2739])).
% 1.85/2.07 tff(2741,plain,
% 1.85/2.07 (~b(s(s(s(s(s(z))))), s(z))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[1748, 2740, 91, 168])).
% 1.85/2.07 tff(2742,plain,
% 1.85/2.07 (r(s(s(s(s(s(z))))), s(z))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[303, 2741])).
% 1.85/2.07 tff(2743,plain,
% 1.85/2.07 ($false),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2262, 102, 56, 168, 382, 363])).
% 1.85/2.07 tff(2744,plain,((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.07 tff(2745,plain,
% 1.85/2.07 (~b(z, s(z))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2744, 56, 168, 2246])).
% 1.85/2.07 tff(2746,plain,
% 1.85/2.07 (r(z, s(z))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[88, 2745])).
% 1.85/2.07 tff(2747,plain,
% 1.85/2.07 (~r(s(z), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2254, 2746, 90, 2738, 2742])).
% 1.85/2.07 tff(2748,plain,
% 1.85/2.07 (b(s(z), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[698, 2747])).
% 1.85/2.07 tff(2749,plain,
% 1.85/2.07 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2643, 1, 90, 67, 68])).
% 1.85/2.07 tff(2750,plain,
% 1.85/2.07 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[165, 2749])).
% 1.85/2.07 tff(2751,plain,
% 1.85/2.07 (((~![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(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(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(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(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2752,plain,
% 1.85/2.07 (((~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(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(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2753,plain,
% 1.85/2.07 (((~![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(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(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(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))))),
% 1.85/2.07 inference(monotonicity,[status(thm)],[2752])).
% 1.85/2.07 tff(2754,plain,
% 1.85/2.07 (((~![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(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(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(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))))),
% 1.85/2.07 inference(transitivity,[status(thm)],[2753, 2751])).
% 1.85/2.07 tff(2755,plain,
% 1.85/2.07 ((~![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(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)))))))))),
% 1.85/2.07 inference(quant_inst,[status(thm)],[])).
% 1.85/2.07 tff(2756,plain,
% 1.85/2.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 1.85/2.07 tff(2757,plain,
% 1.85/2.07 ($false),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2756, 17, 67, 68, 1, 90, 64])).
% 1.85/2.07 tff(2758,plain,((~r(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(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.07 tff(2759,plain,
% 1.85/2.07 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2758, 1, 68, 67, 90])).
% 1.85/2.07 tff(2760,plain,
% 1.85/2.07 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[361, 2759])).
% 1.85/2.07 tff(2761,plain,
% 1.85/2.07 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[1190, 2760, 91, 2750])).
% 1.85/2.07 tff(2762,plain,
% 1.85/2.07 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[341, 2761])).
% 1.85/2.07 tff(2763,plain,
% 1.85/2.07 (~r(s(z), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2254, 68, 90, 2, 67])).
% 1.85/2.07 tff(2764,plain,
% 1.85/2.07 (b(s(z), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[698, 2763])).
% 1.85/2.07 tff(2765,plain,
% 1.85/2.07 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[1140, 2762, 2, 1, 90])).
% 1.85/2.07 tff(2766,plain,
% 1.85/2.07 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[496, 2765])).
% 1.85/2.07 tff(2767,plain,
% 1.85/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2768,plain,
% 1.85/2.07 (((~b(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(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(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(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2769,plain,
% 1.85/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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))))))))))),
% 1.85/2.07 inference(monotonicity,[status(thm)],[2768])).
% 1.85/2.07 tff(2770,plain,
% 1.85/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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)))))))))),
% 1.85/2.07 inference(transitivity,[status(thm)],[2769, 2767])).
% 1.85/2.07 tff(2771,plain,
% 1.85/2.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))))),
% 1.85/2.07 inference(quant_inst,[status(thm)],[])).
% 1.85/2.07 tff(2772,plain,
% 1.85/2.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 1.85/2.07 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 1.85/2.07 tff(2773,plain,
% 1.85/2.07 ($false),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2772, 102, 92, 498, 254, 125])).
% 1.85/2.07 tff(2774,plain,((~b(s(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(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.07 tff(2775,plain,
% 1.85/2.07 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2774, 2766, 2764, 2750])).
% 1.85/2.07 tff(2776,plain,
% 1.85/2.07 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[279, 2775])).
% 1.85/2.07 tff(2777,plain,
% 1.85/2.07 (((~![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(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(z)))) | (~r(s(s(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(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(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2778,plain,
% 1.85/2.07 (((~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(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(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2779,plain,
% 1.85/2.07 (((~![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(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(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(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))))),
% 1.85/2.07 inference(monotonicity,[status(thm)],[2778])).
% 1.85/2.07 tff(2780,plain,
% 1.85/2.07 (((~![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(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(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(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 1.85/2.07 inference(transitivity,[status(thm)],[2779, 2777])).
% 1.85/2.07 tff(2781,plain,
% 1.85/2.07 ((~![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(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)))),
% 1.85/2.07 inference(quant_inst,[status(thm)],[])).
% 1.85/2.07 tff(2782,plain,
% 1.85/2.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 1.85/2.07 inference(modus_ponens,[status(thm)],[2781, 2780])).
% 1.85/2.07 tff(2783,plain,
% 1.85/2.07 ($false),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2782, 17, 58, 2719, 2, 2776, 2762])).
% 1.85/2.07 tff(2784,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.07 tff(2785,plain,
% 1.85/2.07 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2784, 2738, 58, 90, 91, 2746, 2742])).
% 1.85/2.07 tff(2786,plain,
% 1.85/2.07 (b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[538, 2785])).
% 1.85/2.07 tff(2787,plain,
% 1.85/2.07 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[616, 2786, 2246, 56, 2748])).
% 1.85/2.07 tff(2788,plain,
% 1.85/2.07 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[496, 2787])).
% 1.85/2.07 tff(2789,plain,
% 1.85/2.07 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[372, 2141, 2246, 56, 91, 92])).
% 1.85/2.07 tff(2790,plain,
% 1.85/2.07 (r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[538, 2789])).
% 1.85/2.07 tff(2791,plain,
% 1.85/2.07 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[680, 2790, 58, 63])).
% 1.85/2.07 tff(2792,plain,
% 1.85/2.07 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[341, 2791])).
% 1.85/2.07 tff(2793,plain,
% 1.85/2.07 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2643, 2790, 90, 67, 68])).
% 1.85/2.07 tff(2794,plain,
% 1.85/2.07 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[165, 2793])).
% 1.85/2.07 tff(2795,plain,
% 1.85/2.07 ($false),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[1190, 2794, 2792, 91, 2141])).
% 1.85/2.07 tff(2796,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(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(z))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.07 tff(2797,plain,
% 1.85/2.07 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2796, 2742, 90, 91, 2746, 58, 56, 2748])).
% 1.85/2.07 tff(2798,plain,
% 1.85/2.07 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[252, 2797])).
% 1.85/2.07 tff(2799,plain,
% 1.85/2.07 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[262, 2786, 56, 2798])).
% 1.85/2.07 tff(2800,plain,
% 1.85/2.07 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[279, 2799])).
% 1.85/2.07 tff(2801,plain,
% 1.85/2.07 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[2100, 2800, 2719, 2788])).
% 1.85/2.07 tff(2802,plain,
% 1.85/2.07 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[341, 2801])).
% 1.85/2.07 tff(2803,plain,
% 1.85/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(z), s(s(s(s(s(z))))))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2804,plain,
% 1.85/2.07 (((~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(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), z)) | (~b(s(z), 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(z), s(s(s(s(s(z))))))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2805,plain,
% 1.85/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(z), s(s(s(s(s(z)))))))))),
% 1.85/2.07 inference(monotonicity,[status(thm)],[2804])).
% 1.85/2.07 tff(2806,plain,
% 1.85/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(z), s(s(s(s(s(z))))))))),
% 1.85/2.07 inference(transitivity,[status(thm)],[2805, 2803])).
% 1.85/2.07 tff(2807,plain,
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% 1.85/2.07 inference(quant_inst,[status(thm)],[])).
% 1.85/2.07 tff(2808,plain,
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% 1.85/2.07 inference(modus_ponens,[status(thm)],[2807, 2806])).
% 1.85/2.07 tff(2809,plain,
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% 1.85/2.07 inference(unit_resolution,[status(thm)],[2808, 102, 2748, 2798, 2802, 2740, 91, 2246])).
% 1.85/2.07 tff(2810,plain,((~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.07 tff(2811,plain,
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% 1.85/2.07 inference(unit_resolution,[status(thm)],[2810, 168, 58, 90, 91])).
% 1.85/2.07 tff(2812,plain,
% 1.85/2.07 (r(s(s(z)), z)),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[1392, 2811])).
% 1.85/2.07 tff(2813,plain,
% 1.85/2.07 (~r(z, s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[1762, 2812, 2719, 58])).
% 1.85/2.07 tff(2814,plain,
% 1.85/2.07 (b(z, s(s(z)))),
% 1.85/2.07 inference(unit_resolution,[status(thm)],[122, 2813])).
% 1.85/2.07 tff(2815,plain,
% 1.85/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 1.85/2.07 inference(rewrite,[status(thm)],[])).
% 1.85/2.07 tff(2816,plain,
% 1.85/2.07 (((~b(s(z), s(s(z)))) | (~b(s(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(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 1.85/2.08 inference(rewrite,[status(thm)],[])).
% 1.85/2.08 tff(2817,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z))))))),
% 1.85/2.08 inference(monotonicity,[status(thm)],[2816])).
% 1.85/2.08 tff(2818,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 1.85/2.08 inference(transitivity,[status(thm)],[2817, 2815])).
% 1.85/2.08 tff(2819,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 1.85/2.08 inference(quant_inst,[status(thm)],[])).
% 1.85/2.08 tff(2820,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(z))))),
% 1.85/2.08 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 1.85/2.08 tff(2821,plain,
% 1.85/2.08 ($false),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2820, 102, 92, 66, 168, 363])).
% 1.85/2.08 tff(2822,plain,((~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.08 tff(2823,plain,
% 1.85/2.08 (~b(s(z), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2822, 2814, 2246, 168])).
% 1.85/2.08 tff(2824,plain,
% 1.85/2.08 (r(s(z), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[698, 2823])).
% 1.85/2.08 tff(2825,plain,
% 1.85/2.08 (~r(s(s(s(s(s(z))))), s(z))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1861, 2824, 58, 2719, 2812])).
% 1.85/2.08 tff(2826,plain,
% 1.85/2.08 (b(s(s(s(s(s(z))))), s(z))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[303, 2825])).
% 1.85/2.08 tff(2827,plain,
% 1.85/2.08 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1748, 2826, 91, 168])).
% 1.85/2.08 tff(2828,plain,
% 1.85/2.08 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[232, 2827])).
% 1.85/2.08 tff(2829,plain,
% 1.85/2.08 ($false),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1673, 17, 58, 2828, 2812, 90])).
% 1.85/2.08 tff(2830,plain,((~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.08 tff(2831,plain,
% 1.85/2.08 (~b(s(s(z)), s(z))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2830, 91, 90, 58])).
% 1.85/2.08 tff(2832,plain,
% 1.85/2.08 (r(s(s(z)), s(z))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[195, 2831])).
% 1.85/2.08 tff(2833,plain,
% 1.85/2.08 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2346, 382, 91, 90, 58, 343])).
% 1.85/2.08 tff(2834,plain,
% 1.85/2.08 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[165, 2833])).
% 1.85/2.08 tff(2835,plain,
% 1.85/2.08 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1441, 2729, 2832, 2834])).
% 1.85/2.08 tff(2836,plain,
% 1.85/2.08 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[279, 2835])).
% 1.85/2.08 tff(2837,plain,
% 1.85/2.08 ($false),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2551, 102, 425, 2725, 124, 2246])).
% 1.85/2.08 tff(2838,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.08 tff(2839,plain,
% 1.85/2.08 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2838, 124, 90, 58, 343, 91])).
% 1.85/2.08 tff(2840,plain,
% 1.85/2.08 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[409, 2839])).
% 1.85/2.08 tff(2841,plain,
% 1.85/2.08 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1441, 2840, 2832, 2834])).
% 1.85/2.08 tff(2842,plain,
% 1.85/2.08 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[279, 2841])).
% 1.85/2.08 tff(2843,plain,
% 1.85/2.08 (~b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2034, 66, 254, 124])).
% 1.85/2.08 tff(2844,plain,
% 1.85/2.08 (r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[252, 2843])).
% 1.85/2.08 tff(2845,plain,
% 1.85/2.08 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1449, 2844, 90, 58])).
% 1.85/2.08 tff(2846,plain,
% 1.85/2.08 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[361, 2845])).
% 1.85/2.08 tff(2847,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(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(s(z)))))))))),
% 1.85/2.08 inference(rewrite,[status(thm)],[])).
% 1.85/2.08 tff(2848,plain,
% 1.85/2.08 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(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(s(z)))))))))),
% 1.85/2.08 inference(rewrite,[status(thm)],[])).
% 1.85/2.08 tff(2849,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(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(s(z))))))))))),
% 1.85/2.08 inference(monotonicity,[status(thm)],[2848])).
% 1.85/2.08 tff(2850,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(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(s(z)))))))))),
% 1.85/2.08 inference(transitivity,[status(thm)],[2849, 2847])).
% 1.85/2.08 tff(2851,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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)))))),
% 1.85/2.08 inference(quant_inst,[status(thm)],[])).
% 1.85/2.08 tff(2852,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.85/2.08 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 1.85/2.08 tff(2853,plain,
% 1.85/2.08 ($false),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2852, 102, 66, 343, 2846, 124, 254, 382])).
% 1.85/2.08 tff(2854,plain,((~b(z, s(s(z)))) | (~b(s(s(s(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(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.08 tff(2855,plain,
% 1.85/2.08 (~b(z, s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2854, 124, 343, 2842, 382, 90, 58])).
% 1.85/2.08 tff(2856,plain,
% 1.85/2.08 (r(z, s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[122, 2855])).
% 1.85/2.08 tff(2857,plain,
% 1.85/2.08 (~r(s(s(z)), z)),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1762, 2856, 2719, 58])).
% 1.85/2.08 tff(2858,plain,
% 1.85/2.08 (b(s(s(z)), z)),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1392, 2857])).
% 1.85/2.08 tff(2859,plain,
% 1.85/2.08 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1720, 2856, 2719, 90])).
% 1.85/2.08 tff(2860,plain,
% 1.85/2.08 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[232, 2859])).
% 1.85/2.08 tff(2861,plain,
% 1.85/2.08 (~b(s(z), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1738, 2860, 91, 343])).
% 1.85/2.08 tff(2862,plain,
% 1.85/2.08 (r(s(z), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[698, 2861])).
% 1.85/2.08 tff(2863,plain,
% 1.85/2.08 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[856, 2862, 2832, 2840])).
% 1.85/2.08 tff(2864,plain,
% 1.85/2.08 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[496, 2863])).
% 1.85/2.08 tff(2865,plain,
% 1.85/2.08 ($false),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1807, 102, 2864, 2858, 124, 2842])).
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% 1.85/2.08 tff(2867,plain,
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% 1.85/2.08 inference(unit_resolution,[status(thm)],[2866, 382, 343, 90, 58, 91])).
% 1.85/2.08 tff(2868,plain,
% 1.85/2.08 (r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[538, 2867])).
% 1.85/2.08 tff(2869,plain,
% 1.85/2.08 (~b(s(s(s(s(z)))), s(z))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2332, 382, 90, 91, 343])).
% 1.85/2.08 tff(2870,plain,
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% 1.85/2.08 inference(unit_resolution,[status(thm)],[1573, 2869])).
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% 1.85/2.08 inference(rewrite,[status(thm)],[])).
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% 1.85/2.08 inference(monotonicity,[status(thm)],[2872])).
% 1.85/2.08 tff(2874,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.85/2.08 inference(transitivity,[status(thm)],[2873, 2871])).
% 1.85/2.08 tff(2875,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.85/2.08 inference(quant_inst,[status(thm)],[])).
% 1.85/2.08 tff(2876,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.85/2.08 inference(modus_ponens,[status(thm)],[2875, 2874])).
% 1.85/2.08 tff(2877,plain,
% 1.85/2.08 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2876, 102, 2141, 254, 1080])).
% 1.85/2.08 tff(2878,plain,
% 1.85/2.08 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[232, 2877])).
% 1.85/2.08 tff(2879,plain,
% 1.85/2.08 (~r(z, s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[1720, 2878, 2719, 90])).
% 1.85/2.08 tff(2880,plain,
% 1.85/2.08 (b(z, s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[122, 2879])).
% 1.85/2.08 tff(2881,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(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(s(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.08 inference(rewrite,[status(thm)],[])).
% 1.85/2.08 tff(2882,plain,
% 1.85/2.08 (((~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(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), 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(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.08 inference(rewrite,[status(thm)],[])).
% 1.85/2.08 tff(2883,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 1.85/2.08 inference(monotonicity,[status(thm)],[2882])).
% 1.85/2.08 tff(2884,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 1.85/2.08 inference(transitivity,[status(thm)],[2883, 2881])).
% 1.85/2.08 tff(2885,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 1.85/2.08 inference(quant_inst,[status(thm)],[])).
% 1.85/2.08 tff(2886,plain,
% 1.85/2.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 1.85/2.08 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 1.85/2.08 tff(2887,plain,
% 1.85/2.08 (~b(s(z), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[2886, 102, 2880, 2141, 254, 91, 2246])).
% 1.85/2.08 tff(2888,plain,
% 1.85/2.08 (r(s(z), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[698, 2887])).
% 1.85/2.08 tff(2889,plain,
% 1.85/2.08 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[856, 2888, 2832, 393])).
% 1.85/2.08 tff(2890,plain,
% 1.85/2.08 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.08 inference(unit_resolution,[status(thm)],[496, 2889])).
% 1.85/2.08 tff(2891,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.85/2.08 inference(rewrite,[status(thm)],[])).
% 1.85/2.08 tff(2892,plain,
% 1.85/2.08 (((~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(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(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(s(s(z)))))))),
% 1.85/2.08 inference(rewrite,[status(thm)],[])).
% 1.85/2.08 tff(2893,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.85/2.08 inference(monotonicity,[status(thm)],[2892])).
% 1.85/2.08 tff(2894,plain,
% 1.85/2.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))),
% 1.85/2.09 inference(transitivity,[status(thm)],[2893, 2891])).
% 1.85/2.09 tff(2895,plain,
% 1.85/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.85/2.09 inference(quant_inst,[status(thm)],[])).
% 1.85/2.09 tff(2896,plain,
% 1.85/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))),
% 1.85/2.09 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 1.85/2.09 tff(2897,plain,
% 1.85/2.09 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2896, 102, 498, 254, 1588])).
% 1.85/2.09 tff(2898,plain,
% 1.85/2.09 ((s(s(s(s(s(s(z)))))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(s(s(s(z)))))))),
% 1.85/2.09 inference(commutativity,[status(thm)],[])).
% 1.85/2.09 tff(2899,plain,
% 1.85/2.09 ((s(s(s(s(z)))) = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 1.85/2.09 inference(symmetry,[status(thm)],[2898])).
% 1.85/2.09 tff(2900,plain,
% 1.85/2.09 ((~(s(s(s(s(z)))) = s(s(s(s(s(s(z)))))))) <=> (~(s(s(s(s(s(s(z)))))) = s(s(s(s(z))))))),
% 1.85/2.09 inference(monotonicity,[status(thm)],[2899])).
% 1.85/2.09 tff(2901,plain,
% 1.85/2.09 (~(s(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 1.85/2.09 inference(modus_ponens,[status(thm)],[1636, 2900])).
% 1.85/2.09 tff(2902,plain,
% 1.85/2.09 (((~![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))))))),
% 1.85/2.09 inference(rewrite,[status(thm)],[])).
% 1.85/2.09 tff(2903,plain,
% 1.85/2.09 ((~![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))))))),
% 1.85/2.09 inference(quant_inst,[status(thm)],[])).
% 1.85/2.09 tff(2904,plain,
% 1.85/2.09 ((~![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)))))),
% 1.85/2.09 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 1.85/2.09 tff(2905,plain,
% 1.85/2.09 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 2897])).
% 1.85/2.09 tff(2906,plain,
% 1.85/2.09 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2386, 102, 498, 254, 1588])).
% 1.85/2.09 tff(2907,plain,
% 1.85/2.09 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2072, 2906])).
% 1.85/2.09 tff(2908,plain,
% 1.85/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.85/2.09 inference(rewrite,[status(thm)],[])).
% 1.85/2.09 tff(2909,plain,
% 1.85/2.09 (((~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(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(s(s(z)))))), 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)))))),
% 1.85/2.09 inference(rewrite,[status(thm)],[])).
% 1.85/2.09 tff(2910,plain,
% 1.85/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 1.85/2.09 inference(monotonicity,[status(thm)],[2909])).
% 1.85/2.09 tff(2911,plain,
% 1.85/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.85/2.09 inference(transitivity,[status(thm)],[2910, 2908])).
% 1.85/2.09 tff(2912,plain,
% 1.85/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 1.85/2.09 inference(quant_inst,[status(thm)],[])).
% 1.85/2.09 tff(2913,plain,
% 1.85/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 1.85/2.09 inference(modus_ponens,[status(thm)],[2912, 2911])).
% 1.85/2.09 tff(2914,plain,
% 1.85/2.09 (~b(z, s(s(s(s(z)))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2913, 102, 66, 498, 254, 1588])).
% 1.85/2.09 tff(2915,plain,
% 1.85/2.09 (r(z, s(s(s(s(z)))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[54, 2914])).
% 1.85/2.09 tff(2916,plain,
% 1.85/2.09 (((~![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(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(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(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))),
% 1.85/2.09 inference(rewrite,[status(thm)],[])).
% 1.85/2.09 tff(2917,plain,
% 1.85/2.09 (((~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(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)))))))),
% 1.85/2.09 inference(rewrite,[status(thm)],[])).
% 1.85/2.09 tff(2918,plain,
% 1.85/2.09 (((~![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)))))), 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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))))),
% 1.85/2.09 inference(monotonicity,[status(thm)],[2917])).
% 1.85/2.09 tff(2919,plain,
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% 1.85/2.09 inference(transitivity,[status(thm)],[2918, 2916])).
% 1.85/2.09 tff(2920,plain,
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% 1.85/2.09 inference(quant_inst,[status(thm)],[])).
% 1.85/2.09 tff(2921,plain,
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% 1.85/2.09 inference(modus_ponens,[status(thm)],[2920, 2919])).
% 1.85/2.09 tff(2922,plain,
% 1.85/2.09 ($false),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2921, 17, 1, 2915, 2907, 2905])).
% 1.85/2.09 tff(2923,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(z, 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,[]))).
% 1.85/2.09 tff(2924,plain,
% 1.85/2.09 (~b(s(s(s(s(z)))), s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2923, 2890, 1, 254, 2880])).
% 1.85/2.09 tff(2925,plain,
% 1.85/2.09 (r(s(s(s(s(z)))), s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2048, 2924])).
% 1.85/2.09 tff(2926,assumption,(r(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 1.85/2.09 tff(2927,plain,
% 1.85/2.09 ($false),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2371, 17, 2888, 2832, 2926, 2925])).
% 1.85/2.09 tff(2928,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.09 tff(2929,plain,
% 1.85/2.09 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2928, 2870, 2868, 2836, 2729, 91, 90, 58])).
% 1.85/2.09 tff(2930,plain,
% 1.85/2.09 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[252, 2929])).
% 1.85/2.09 tff(2931,plain,
% 1.85/2.09 (~r(s(s(z)), z)),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[1762, 2, 2719, 58])).
% 1.85/2.09 tff(2932,plain,
% 1.85/2.09 (b(s(s(z)), z)),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[1392, 2931])).
% 1.85/2.09 tff(2933,plain,
% 1.85/2.09 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[1720, 2, 2719, 90])).
% 1.85/2.09 tff(2934,plain,
% 1.85/2.09 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[232, 2933])).
% 1.85/2.09 tff(2935,plain,
% 1.85/2.09 ($false),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[1786, 2934, 2932, 90, 91, 343, 393, 4, 2])).
% 1.85/2.09 tff(2936,plain,((~r(z, s(s(z)))) | (~r(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))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.09 tff(2937,plain,
% 1.85/2.09 (~r(z, s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2936, 2729, 91, 343, 90, 2930, 58])).
% 1.85/2.09 tff(2938,plain,
% 1.85/2.09 (b(z, s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[122, 2937])).
% 1.85/2.09 tff(2939,plain,
% 1.85/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.09 inference(rewrite,[status(thm)],[])).
% 1.85/2.09 tff(2940,plain,
% 1.85/2.09 (((~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(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.09 inference(rewrite,[status(thm)],[])).
% 1.85/2.09 tff(2941,plain,
% 1.85/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.85/2.09 inference(monotonicity,[status(thm)],[2940])).
% 1.85/2.09 tff(2942,plain,
% 1.85/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.85/2.09 inference(transitivity,[status(thm)],[2941, 2939])).
% 1.85/2.09 tff(2943,plain,
% 1.85/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 1.85/2.09 inference(quant_inst,[status(thm)],[])).
% 1.85/2.09 tff(2944,plain,
% 1.85/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.85/2.09 inference(modus_ponens,[status(thm)],[2943, 2942])).
% 1.85/2.09 tff(2945,plain,
% 1.85/2.09 ($false),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2944, 102, 92, 66, 4, 254, 363])).
% 1.85/2.09 tff(2946,plain,((~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.09 tff(2947,plain,
% 1.85/2.09 (~b(s(z), s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2946, 2938, 2246, 2836, 2930])).
% 1.85/2.09 tff(2948,plain,
% 1.85/2.09 (r(s(z), s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[698, 2947])).
% 1.85/2.09 tff(2949,plain,
% 1.85/2.09 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[1462, 2938, 2930, 2836])).
% 1.85/2.09 tff(2950,plain,
% 1.85/2.09 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[496, 2949])).
% 1.85/2.09 tff(2951,plain,
% 1.85/2.09 ($false),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[856, 2950, 2948, 2832, 2729])).
% 1.85/2.09 tff(2952,plain,((~b(z, s(z))) | (~b(s(z), s(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))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.09 tff(2953,plain,
% 1.85/2.09 (~b(z, s(z))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[2952, 343, 91, 90, 58])).
% 1.85/2.09 tff(2954,plain,
% 1.85/2.09 (r(z, s(z))),
% 1.85/2.09 inference(unit_resolution,[status(thm)],[88, 2953])).
% 1.85/2.09 tff(2955,plain,
% 1.85/2.09 (((~![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(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(2956,plain,
% 1.85/2.10 (((~r(s(s(z)), s(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(2957,plain,
% 1.85/2.10 (((~![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(z)), s(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))))),
% 1.85/2.10 inference(monotonicity,[status(thm)],[2956])).
% 1.85/2.10 tff(2958,plain,
% 1.85/2.10 (((~![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(z)), s(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.85/2.10 inference(transitivity,[status(thm)],[2957, 2955])).
% 1.85/2.10 tff(2959,plain,
% 1.85/2.10 ((~![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(z)), s(z))) | (~r(z, 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))))))))),
% 1.85/2.10 inference(quant_inst,[status(thm)],[])).
% 1.85/2.10 tff(2960,plain,
% 1.85/2.10 ((~![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(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 1.85/2.10 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 1.85/2.10 tff(2961,plain,
% 1.85/2.10 (~r(z, s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2960, 17, 2832, 2719, 2954, 90])).
% 1.85/2.10 tff(2962,plain,
% 1.85/2.10 (b(z, s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[122, 2961])).
% 1.85/2.10 tff(2963,plain,
% 1.85/2.10 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1738, 92, 91, 343])).
% 1.85/2.10 tff(2964,plain,
% 1.85/2.10 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[232, 2963])).
% 1.85/2.10 tff(2965,plain,
% 1.85/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(2966,plain,
% 1.85/2.10 (((~b(s(s(z)), z)) | (~b(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(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(2967,plain,
% 1.85/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))))),
% 1.85/2.10 inference(monotonicity,[status(thm)],[2966])).
% 1.85/2.10 tff(2968,plain,
% 1.85/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 1.85/2.10 inference(transitivity,[status(thm)],[2967, 2965])).
% 1.85/2.10 tff(2969,plain,
% 1.85/2.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), z)) | (~b(s(z), s(s(z)))))),
% 1.85/2.10 inference(quant_inst,[status(thm)],[])).
% 1.85/2.10 tff(2970,plain,
% 1.85/2.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))),
% 1.85/2.10 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 1.85/2.10 tff(2971,plain,
% 1.85/2.10 ($false),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2970, 102, 92, 66, 56, 363])).
% 1.85/2.10 tff(2972,plain,((~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.10 tff(2973,plain,
% 1.85/2.10 (~b(s(s(z)), z)),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2972, 92, 363, 66])).
% 1.85/2.10 tff(2974,plain,
% 1.85/2.10 (r(s(s(z)), z)),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1392, 2973])).
% 1.85/2.10 tff(2975,plain,
% 1.85/2.10 ($false),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2293, 2974, 2964, 58, 234, 68])).
% 1.85/2.10 tff(2976,plain,((~b(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.10 tff(2977,plain,
% 1.85/2.10 (~b(s(z), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2976, 2954, 2832, 58, 2246, 2962, 91, 343])).
% 1.85/2.10 tff(2978,plain,
% 1.85/2.10 (r(s(z), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[698, 2977])).
% 1.85/2.10 tff(2979,plain,
% 1.85/2.10 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1441, 393, 234, 167])).
% 1.85/2.10 tff(2980,plain,
% 1.85/2.10 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[279, 2979])).
% 1.85/2.10 tff(2981,plain,
% 1.85/2.10 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[856, 393, 234, 780])).
% 1.85/2.10 tff(2982,plain,
% 1.85/2.10 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[496, 2981])).
% 1.85/2.10 tff(2983,plain,
% 1.85/2.10 ($false),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1983, 2982, 2980, 66, 124])).
% 1.85/2.10 tff(2984,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.10 tff(2985,plain,
% 1.85/2.10 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2984, 2840, 2962, 2832, 2978, 124])).
% 1.85/2.10 tff(2986,plain,
% 1.85/2.10 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[165, 2985])).
% 1.85/2.10 tff(2987,plain,
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% 1.85/2.10 tff(2988,plain,
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% 1.85/2.10 inference(unit_resolution,[status(thm)],[361, 2987])).
% 1.85/2.10 tff(2989,plain,
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% 1.85/2.10 tff(2990,plain,
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% 1.85/2.10 inference(unit_resolution,[status(thm)],[252, 2989])).
% 1.85/2.10 tff(2991,plain,
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% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(2992,plain,
% 1.85/2.10 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(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(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)))))))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(2993,plain,
% 1.85/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 1.85/2.10 inference(monotonicity,[status(thm)],[2992])).
% 1.85/2.10 tff(2994,plain,
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% 1.85/2.10 tff(2995,plain,
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% 1.85/2.10 inference(quant_inst,[status(thm)],[])).
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% 1.85/2.10 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 1.85/2.10 tff(2997,plain,
% 1.85/2.10 ($false),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2996, 102, 2990, 124, 2246, 2986])).
% 1.85/2.10 tff(2998,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(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(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
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% 1.85/2.10 inference(unit_resolution,[status(thm)],[2998, 343, 58, 91, 90])).
% 1.85/2.10 tff(3000,plain,
% 1.85/2.10 (r(z, s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[538, 2999])).
% 1.85/2.10 tff(3001,plain,
% 1.85/2.10 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[798, 2141, 91, 343])).
% 1.85/2.10 tff(3002,plain,
% 1.85/2.10 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[165, 3001])).
% 1.85/2.10 tff(3003,plain,
% 1.85/2.10 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1441, 3002, 2832, 2721])).
% 1.85/2.10 tff(3004,plain,
% 1.85/2.10 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[279, 3003])).
% 1.85/2.10 tff(3005,plain,
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% 1.85/2.10 inference(unit_resolution,[status(thm)],[2928, 3004, 3000, 63, 2721, 91, 90, 58])).
% 1.85/2.10 tff(3006,plain,
% 1.85/2.10 (b(s(s(s(s(z)))), s(z))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1573, 3005])).
% 1.85/2.10 tff(3007,plain,
% 1.85/2.10 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2306, 102, 343, 3006, 91])).
% 1.85/2.10 tff(3008,plain,
% 1.85/2.10 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 3007])).
% 1.85/2.10 tff(3009,plain,
% 1.85/2.10 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[856, 2721, 2832, 2978])).
% 1.85/2.10 tff(3010,plain,
% 1.85/2.10 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[496, 3009])).
% 1.85/2.10 tff(3011,plain,
% 1.85/2.10 (~b(s(s(s(s(z)))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2923, 3010, 3000, 3004, 2962])).
% 1.85/2.10 tff(3012,plain,
% 1.85/2.10 (r(s(s(s(s(z)))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[2048, 3011])).
% 1.85/2.10 tff(3013,plain,
% 1.85/2.10 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[680, 63, 58, 3000])).
% 1.85/2.10 tff(3014,plain,
% 1.85/2.10 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[341, 3013])).
% 1.85/2.10 tff(3015,plain,
% 1.85/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(s(z)))))))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(3016,plain,
% 1.85/2.10 (((~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(s(s(z)))))), 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(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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(3017,plain,
% 1.85/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(s(z)))))), 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(s(s(z))))))))))),
% 1.85/2.10 inference(monotonicity,[status(thm)],[3016])).
% 1.85/2.10 tff(3018,plain,
% 1.85/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(s(z)))))), 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(s(s(z)))))))))),
% 1.85/2.10 inference(transitivity,[status(thm)],[3017, 3015])).
% 1.85/2.10 tff(3019,plain,
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% 1.85/2.10 inference(quant_inst,[status(thm)],[])).
% 1.85/2.10 tff(3020,plain,
% 1.85/2.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(s(z))))))))),
% 1.85/2.10 inference(modus_ponens,[status(thm)],[3019, 3018])).
% 1.85/2.10 tff(3021,plain,
% 1.85/2.10 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[3020, 102, 3010, 3004, 3014])).
% 1.85/2.10 tff(3022,plain,
% 1.85/2.10 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[232, 3021])).
% 1.85/2.10 tff(3023,plain,
% 1.85/2.10 (((~![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(z)), 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(z)), 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))))))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(3024,plain,
% 1.85/2.10 (((~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(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(z)), 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))))))))),
% 1.85/2.10 inference(rewrite,[status(thm)],[])).
% 1.85/2.10 tff(3025,plain,
% 1.85/2.10 (((~![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(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))))), 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(z)), 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)))))))))),
% 1.85/2.10 inference(monotonicity,[status(thm)],[3024])).
% 1.85/2.10 tff(3026,plain,
% 1.85/2.10 (((~![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(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))))), 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(z)), 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))))))))),
% 1.85/2.10 inference(transitivity,[status(thm)],[3025, 3023])).
% 1.85/2.10 tff(3027,plain,
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% 1.85/2.10 inference(quant_inst,[status(thm)],[])).
% 1.85/2.10 tff(3028,plain,
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% 1.85/2.10 inference(modus_ponens,[status(thm)],[3027, 3026])).
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% 1.85/2.10 tff(3031,plain,
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% 1.85/2.10 inference(unit_resolution,[status(thm)],[3030, 343, 91, 90, 58])).
% 1.85/2.10 tff(3032,plain,
% 1.85/2.10 (b(s(s(s(s(s(s(z)))))), z)),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[252, 3031])).
% 1.85/2.10 tff(3033,plain,
% 1.85/2.10 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[856, 393, 2832, 2978])).
% 1.85/2.10 tff(3034,plain,
% 1.85/2.10 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[496, 3033])).
% 1.85/2.10 tff(3035,plain,
% 1.85/2.10 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.10 inference(unit_resolution,[status(thm)],[1999, 3034, 90, 91, 58, 2962, 343, 3032, 393])).
% 1.85/2.10 tff(3036,plain,
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% 1.85/2.10 inference(unit_resolution,[status(thm)],[165, 3035])).
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% 1.85/2.10 inference(unit_resolution,[status(thm)],[777, 3034, 2962, 3032])).
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% 1.85/2.11 inference(unit_resolution,[status(thm)],[1392, 3037])).
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% 1.85/2.11 inference(unit_resolution,[status(thm)],[1462, 3034, 2962, 3032])).
% 1.85/2.11 tff(3040,plain,
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% 1.85/2.11 inference(unit_resolution,[status(thm)],[279, 3039])).
% 1.85/2.11 tff(3041,plain,
% 1.85/2.11 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[1483, 3040, 58, 3000, 3038])).
% 1.85/2.11 tff(3042,plain,
% 1.85/2.11 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[232, 3041])).
% 1.85/2.11 tff(3043,plain,
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% 1.85/2.11 inference(unit_resolution,[status(thm)],[2631, 102, 2962, 3032, 3042, 91, 2246, 3036])).
% 1.85/2.11 tff(3044,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.11 tff(3045,plain,
% 1.85/2.11 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[3044, 343, 58, 90, 91])).
% 1.85/2.11 tff(3046,plain,
% 1.85/2.11 (b(s(s(s(s(s(s(z)))))), s(z))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[409, 3045])).
% 1.85/2.11 tff(3047,plain,
% 1.85/2.11 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[856, 2350, 2832, 2978])).
% 1.85/2.11 tff(3048,plain,
% 1.85/2.11 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[798, 364, 91, 343])).
% 1.85/2.11 tff(3049,plain,
% 1.85/2.11 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[165, 3048])).
% 1.85/2.11 tff(3050,plain,
% 1.85/2.11 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[1999, 3049, 90, 91, 58, 2962, 343, 3032, 2350])).
% 1.85/2.11 tff(3051,plain,
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% 1.85/2.11 inference(unit_resolution,[status(thm)],[496, 3050, 3047])).
% 1.85/2.11 tff(3052,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(z), 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,[]))).
% 1.85/2.11 tff(3053,plain,
% 1.85/2.11 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[3052, 343, 91, 58, 90])).
% 1.85/2.11 tff(3054,plain,
% 1.85/2.11 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[361, 3053])).
% 1.85/2.11 tff(3055,plain,
% 1.85/2.11 (((~![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(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(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(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(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.11 inference(rewrite,[status(thm)],[])).
% 1.85/2.11 tff(3056,plain,
% 1.85/2.11 (((~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(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(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.11 inference(rewrite,[status(thm)],[])).
% 1.85/2.11 tff(3057,plain,
% 1.85/2.11 (((~![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)))))), 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(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(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 1.85/2.11 inference(monotonicity,[status(thm)],[3056])).
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% 1.85/2.11 (((~![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)))))), 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(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(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 1.85/2.11 inference(transitivity,[status(thm)],[3057, 3055])).
% 1.85/2.11 tff(3059,plain,
% 1.85/2.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))))),
% 1.85/2.11 inference(quant_inst,[status(thm)],[])).
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% 1.85/2.11 inference(modus_ponens,[status(thm)],[3059, 3058])).
% 1.85/2.11 tff(3061,plain,
% 1.85/2.11 ($false),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[3060, 17, 68, 1, 90, 64, 167])).
% 1.85/2.11 tff(3062,plain,((~r(s(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(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.11 tff(3063,plain,
% 1.85/2.11 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[3062, 2954, 3000, 90, 3054])).
% 1.85/2.11 tff(3064,plain,
% 1.85/2.11 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[165, 3063])).
% 1.85/2.11 tff(3065,plain,
% 1.85/2.11 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[878, 3064, 91, 3046])).
% 1.85/2.11 tff(3066,plain,
% 1.85/2.11 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[341, 3065])).
% 1.85/2.11 tff(3067,plain,
% 1.85/2.11 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[2231, 3066, 58, 2719, 3032, 2962])).
% 1.85/2.11 tff(3068,plain,
% 1.85/2.11 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[496, 3067])).
% 1.85/2.11 tff(3069,plain,
% 1.85/2.11 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[2633, 3064, 2962, 91, 2246, 58, 3000, 3046])).
% 1.85/2.11 tff(3070,plain,
% 1.85/2.11 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[232, 3069])).
% 1.85/2.11 tff(3071,plain,
% 1.85/2.11 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[313, 3070, 3054, 3066])).
% 1.85/2.11 tff(3072,plain,
% 1.85/2.11 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[279, 3071])).
% 1.85/2.11 tff(3073,plain,
% 1.85/2.11 ($false),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[1462, 3072, 3068, 2962, 3032])).
% 1.85/2.11 tff(3074,plain,((~b(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))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.85/2.11 tff(3075,plain,
% 1.85/2.11 (~b(s(s(s(s(s(z))))), s(z))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[3074, 91, 58, 90])).
% 1.85/2.11 tff(3076,plain,
% 1.85/2.11 (r(s(s(s(s(s(z))))), s(z))),
% 1.85/2.11 inference(unit_resolution,[status(thm)],[303, 3075])).
% 1.85/2.11 tff(3077,plain,
% 1.85/2.11 (((~![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(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(s(z))))), 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(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(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.85/2.11 inference(rewrite,[status(thm)],[])).
% 1.85/2.11 tff(3078,plain,
% 1.85/2.11 (((~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(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(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.85/2.11 inference(rewrite,[status(thm)],[])).
% 1.85/2.11 tff(3079,plain,
% 1.85/2.11 (((~![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(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(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(s(z))))), s(s(z)))) | (~r(z, s(s(z))))))),
% 1.85/2.11 inference(monotonicity,[status(thm)],[3078])).
% 1.85/2.11 tff(3080,plain,
% 1.85/2.11 (((~![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(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(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(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 1.85/2.11 inference(transitivity,[status(thm)],[3079, 3077])).
% 1.85/2.11 tff(3081,plain,
% 1.85/2.11 ((~![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(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)))),
% 1.85/2.11 inference(quant_inst,[status(thm)],[])).
% 1.85/2.11 tff(3082,plain,
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% 1.85/2.11 inference(modus_ponens,[status(thm)],[3081, 3080])).
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% 1.85/2.11 tff(3085,plain,
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% 1.85/2.11 inference(unit_resolution,[status(thm)],[122, 3085])).
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% 1.85/2.11 (((~![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(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(z), 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)))))),
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% 1.85/2.11 tff(3088,plain,
% 1.85/2.11 (((~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(z), 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)))))),
% 1.85/2.11 inference(rewrite,[status(thm)],[])).
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% 1.95/2.11 inference(modus_ponens,[status(thm)],[3091, 3090])).
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% 1.95/2.11 inference(unit_resolution,[status(thm)],[3092, 17, 780, 234, 67, 3])).
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% 1.95/2.11 tff(3095,plain,
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% 1.95/2.11 inference(unit_resolution,[status(thm)],[698, 3095])).
% 1.95/2.11 tff(3097,plain,
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% 1.95/2.11 inference(unit_resolution,[status(thm)],[2972, 3096, 2246, 3086])).
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% 1.95/2.11 inference(unit_resolution,[status(thm)],[1392, 3097])).
% 1.95/2.11 tff(3099,plain,
% 1.95/2.11 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[2400, 17, 2832, 3076, 90])).
% 1.95/2.11 tff(3100,plain,
% 1.95/2.11 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[3099, 3098])).
% 1.95/2.11 tff(3101,plain,
% 1.95/2.11 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[232, 3100])).
% 1.95/2.11 tff(3102,plain,
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% 1.95/2.11 inference(unit_resolution,[status(thm)],[3084, 234, 58, 67, 3])).
% 1.95/2.11 tff(3103,plain,
% 1.95/2.11 (b(z, s(s(z)))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[122, 3102])).
% 1.95/2.11 tff(3104,plain,
% 1.95/2.11 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[2165, 305, 58, 3, 63])).
% 1.95/2.11 tff(3105,plain,
% 1.95/2.11 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[279, 3104])).
% 1.95/2.11 tff(3106,plain,
% 1.95/2.11 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[1983, 3105, 3103, 124])).
% 1.95/2.11 tff(3107,plain,
% 1.95/2.11 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[496, 3106])).
% 1.95/2.11 tff(3108,plain,
% 1.95/2.11 (((~![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(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(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(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(3109,plain,
% 1.95/2.11 (((~r(s(s(z)), 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(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~r(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(3110,plain,
% 1.95/2.11 (((~![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(z)), 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(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(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 1.95/2.11 inference(monotonicity,[status(thm)],[3109])).
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% 1.95/2.11 (((~![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(z)), 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(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(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 1.95/2.11 inference(transitivity,[status(thm)],[3110, 3108])).
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% 1.95/2.11 ((~![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(z)), 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(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.11 inference(quant_inst,[status(thm)],[])).
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% 1.95/2.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 1.95/2.11 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 1.95/2.11 tff(3114,plain,
% 1.95/2.11 ($false),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[3113, 17, 234, 3107, 67, 3, 305])).
% 1.95/2.11 tff(3115,plain,((~r(s(s(s(s(s(z))))), s(s(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)))) | (~b(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))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.11 tff(3116,plain,
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% 1.95/2.11 tff(3117,plain,
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% 1.95/2.11 tff(3118,plain,
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% 1.95/2.11 tff(3119,plain,
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% 1.95/2.11 tff(3121,plain,
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% 1.95/2.11 tff(3122,plain,
% 1.95/2.11 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[1441, 3121, 2832, 3119])).
% 1.95/2.11 tff(3123,plain,
% 1.95/2.11 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[279, 3122])).
% 1.95/2.11 tff(3124,plain,
% 1.95/2.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))))))),
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% 1.95/2.11 tff(3125,plain,
% 1.95/2.11 (((~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(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(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(z, s(s(s(s(s(s(z)))))))))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(3126,plain,
% 1.95/2.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z))))))))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[3125])).
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% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(3192,plain,
% 1.95/2.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 1.95/2.12 tff(3193,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3192, 102, 3187, 3183, 3145, 3101])).
% 1.95/2.12 tff(3194,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(3195,plain,
% 1.95/2.12 (~b(s(z), s(s(s(s(s(z))))))),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3194, 90, 58])).
% 1.95/2.12 tff(3196,assumption,(~r(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.95/2.12 tff(3197,assumption,(~b(s(z), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.95/2.12 tff(3198,plain,
% 1.95/2.12 (((~![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)))))))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(3199,plain,
% 1.95/2.12 ((~![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)))))))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(3200,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(s(s(z)))))) | b(s(z), s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z))))))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[3199, 3198])).
% 1.95/2.12 tff(3201,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3200, 49, 297, 3197, 3196])).
% 1.95/2.12 tff(3202,plain,(b(s(z), s(s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(3203,plain,
% 1.95/2.12 (r(s(z), s(s(s(s(s(z))))))),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3202, 3195])).
% 1.95/2.12 tff(3204,plain,
% 1.95/2.12 (((~![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), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, 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(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(3205,plain,
% 1.95/2.12 (((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), 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(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(3206,plain,
% 1.95/2.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), 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(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[3205])).
% 1.95/2.12 tff(3207,plain,
% 1.95/2.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), 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(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.12 inference(transitivity,[status(thm)],[3206, 3204])).
% 1.95/2.12 tff(3208,plain,
% 1.95/2.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(z))))))) | (~r(s(z), 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))))))))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(3209,plain,
% 1.95/2.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 1.95/2.12 tff(3210,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3209, 17, 58, 59, 90, 61])).
% 1.95/2.12 tff(3211,plain,((~r(z, 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)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(3212,plain,
% 1.95/2.12 (~r(s(z), z)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3211, 3203, 58, 90])).
% 1.95/2.12 tff(3213,plain,
% 1.95/2.12 (b(s(z), z)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[380, 3212])).
% 1.95/2.12 tff(3214,plain,
% 1.95/2.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(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(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(3215,plain,
% 1.95/2.12 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, 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(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(3216,plain,
% 1.95/2.12 (((~![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(s(s(s(z))))), s(s(z)))) | (~r(z, 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(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z))))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[3215])).
% 1.95/2.12 tff(3217,plain,
% 1.95/2.12 (((~![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(s(s(s(z))))), s(s(z)))) | (~r(z, 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(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 1.95/2.12 inference(transitivity,[status(thm)],[3216, 3214])).
% 1.95/2.12 tff(3218,plain,
% 1.95/2.12 ((~![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(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(z))))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(3219,plain,
% 1.95/2.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 1.95/2.12 tff(3220,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3219, 17, 3, 68, 2, 90, 61])).
% 1.95/2.12 tff(3221,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(3222,plain,
% 1.95/2.12 (~r(z, s(z))),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[3221, 3, 90, 3203, 2])).
% 1.95/2.12 tff(3223,plain,
% 1.95/2.12 (b(z, s(z))),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[88, 3222])).
% 1.95/2.12 tff(3224,plain,
% 1.95/2.12 (~r(s(s(z)), z)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[1762, 3, 2, 58])).
% 1.95/2.12 tff(3225,plain,
% 1.95/2.12 (b(s(s(z)), z)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[1392, 3224])).
% 1.95/2.12 tff(3226,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[2744, 3225, 3223, 168, 3213])).
% 1.95/2.13 tff(3227,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(3228,plain,
% 1.95/2.13 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3227, 2, 168, 58, 90])).
% 1.95/2.13 tff(3229,plain,
% 1.95/2.13 (b(s(s(s(s(s(z))))), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[1711, 3228])).
% 1.95/2.13 tff(3230,plain,
% 1.95/2.13 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[2482, 65, 2, 63])).
% 1.95/2.13 tff(3231,plain,
% 1.95/2.13 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[496, 3230])).
% 1.95/2.13 tff(3232,plain,
% 1.95/2.13 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[1346, 3231, 2141, 57])).
% 1.95/2.13 tff(3233,plain,
% 1.95/2.13 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[232, 3232])).
% 1.95/2.13 tff(3234,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[1673, 17, 58, 3233, 65, 90])).
% 1.95/2.13 tff(3235,plain,((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(3236,plain,
% 1.95/2.13 (~r(s(s(z)), z)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3235, 57, 90, 58, 2, 63])).
% 1.95/2.13 tff(3237,plain,
% 1.95/2.13 (b(s(s(z)), z)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[1392, 3236])).
% 1.95/2.13 tff(3238,plain,
% 1.95/2.13 (~b(z, s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[2744, 3237, 168, 3213])).
% 1.95/2.13 tff(3239,plain,
% 1.95/2.13 (r(z, s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[88, 3238])).
% 1.95/2.13 tff(3240,plain,
% 1.95/2.13 (((~![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(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, 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(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3241,plain,
% 1.95/2.13 (((~r(s(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(z))) | (~r(z, s(s(s(s(s(z)))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3242,plain,
% 1.95/2.13 (((~![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(z))))))) | (~r(z, 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(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[3241])).
% 1.95/2.13 tff(3243,plain,
% 1.95/2.13 (((~![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(z))))))) | (~r(z, 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(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(transitivity,[status(thm)],[3242, 3240])).
% 1.95/2.13 tff(3244,plain,
% 1.95/2.13 ((~![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(z))))))) | (~r(z, 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))))))))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(3245,plain,
% 1.95/2.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 1.95/2.13 tff(3246,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3245, 17, 67, 68, 90, 61])).
% 1.95/2.13 tff(3247,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(3248,plain,
% 1.95/2.13 (~r(s(s(s(s(s(z))))), s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3247, 3239, 90, 3203])).
% 1.95/2.13 tff(3249,plain,
% 1.95/2.13 (b(s(s(s(s(s(z))))), s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[303, 3248])).
% 1.95/2.13 tff(3250,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3251,plain,
% 1.95/2.13 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), 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(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)))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3252,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[3251])).
% 1.95/2.13 tff(3253,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))))),
% 1.95/2.13 inference(transitivity,[status(thm)],[3252, 3250])).
% 1.95/2.13 tff(3254,plain,
% 1.95/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(s(s(z)), 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))))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(3255,plain,
% 1.95/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 1.95/2.13 tff(3256,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3255, 102, 92, 168, 343, 57])).
% 1.95/2.13 tff(3257,plain,((~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))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(3258,plain,
% 1.95/2.13 (~b(s(z), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3257, 3249, 168, 57])).
% 1.95/2.13 tff(3259,plain,
% 1.95/2.13 (r(s(z), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[698, 3258])).
% 1.95/2.13 tff(3260,plain,
% 1.95/2.13 (~b(s(z), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3257, 343, 168, 57])).
% 1.95/2.13 tff(3261,plain,
% 1.95/2.13 (r(s(z), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[698, 3260])).
% 1.95/2.13 tff(3262,plain,
% 1.95/2.13 (((~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)), 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(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(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(s(s(s(s(z))))))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3263,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(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(X0, 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(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(s(s(s(s(z)))))))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[3262])).
% 1.95/2.13 tff(3264,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(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(X0, 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(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(s(s(s(s(z))))))))),
% 1.95/2.13 inference(transitivity,[status(thm)],[3263, 916])).
% 1.95/2.13 tff(3265,plain,
% 1.95/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(3266,plain,
% 1.95/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(z)))))))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 1.95/2.13 tff(3267,plain,
% 1.95/2.13 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3266, 102, 364, 57, 254])).
% 1.95/2.13 tff(3268,plain,
% 1.95/2.13 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[496, 3267])).
% 1.95/2.13 tff(3269,plain,
% 1.95/2.13 (~r(s(s(z)), z)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[2482, 3268, 2, 63])).
% 1.95/2.13 tff(3270,plain,
% 1.95/2.13 (b(s(s(z)), z)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[1392, 3269])).
% 1.95/2.13 tff(3271,plain,
% 1.95/2.13 (~b(z, s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[2744, 3270, 168, 363])).
% 1.95/2.13 tff(3272,plain,
% 1.95/2.13 (r(z, s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[88, 3271])).
% 1.95/2.13 tff(3273,plain,
% 1.95/2.13 (~r(s(s(s(s(s(z))))), s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3247, 3272, 90, 61])).
% 1.95/2.13 tff(3274,plain,
% 1.95/2.13 (b(s(s(s(s(s(z))))), s(z))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[303, 3273])).
% 1.95/2.13 tff(3275,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3276,plain,
% 1.95/2.13 (((~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(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(z)), 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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3277,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[3276])).
% 1.95/2.13 tff(3278,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(transitivity,[status(thm)],[3277, 3275])).
% 1.95/2.13 tff(3279,plain,
% 1.95/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(3280,plain,
% 1.95/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 1.95/2.13 tff(3281,plain,
% 1.95/2.13 ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3280, 102, 168, 364, 57])).
% 1.95/2.13 tff(3282,plain,
% 1.95/2.13 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3281, 254])).
% 1.95/2.13 tff(3283,plain,
% 1.95/2.13 (r(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[232, 3282])).
% 1.95/2.13 tff(3284,plain,
% 1.95/2.13 (((~![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(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(s(z), s(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)))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3285,plain,
% 1.95/2.13 (((~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(s(z), s(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)))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3286,plain,
% 1.95/2.13 (((~![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(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(s(z), s(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))))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[3285])).
% 1.95/2.13 tff(3287,plain,
% 1.95/2.13 (((~![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(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(s(z), s(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)))))),
% 1.95/2.13 inference(transitivity,[status(thm)],[3286, 3284])).
% 1.95/2.13 tff(3288,plain,
% 1.95/2.13 ((~![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(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))))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(3289,plain,
% 1.95/2.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 1.95/2.13 tff(3290,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3289, 17, 780, 235, 68, 2, 90])).
% 1.95/2.13 tff(3291,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(3292,plain,
% 1.95/2.13 (~r(s(z), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3291, 3272, 2, 3283, 90])).
% 1.95/2.13 tff(3293,plain,
% 1.95/2.13 (b(s(z), s(s(z)))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[698, 3292])).
% 1.95/2.13 tff(3294,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3257, 3293, 3274, 168, 57])).
% 1.95/2.13 tff(3295,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~r(s(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,[]))).
% 1.95/2.13 tff(3296,plain,
% 1.95/2.13 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3295, 57, 168, 2, 90, 3203, 3213, 63, 2141])).
% 1.95/2.13 tff(3297,plain,
% 1.95/2.13 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[279, 3296])).
% 1.95/2.13 tff(3298,plain,
% 1.95/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(3299,plain,
% 1.95/2.13 (((~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), 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)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3300,plain,
% 1.95/2.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(z, s(s(s(s(s(s(z))))))))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[3299])).
% 1.95/2.14 tff(3301,plain,
% 1.95/2.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 1.95/2.14 inference(transitivity,[status(thm)],[3300, 3298])).
% 1.95/2.14 tff(3302,plain,
% 1.95/2.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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)))))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(3303,plain,
% 1.95/2.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 1.95/2.14 tff(3304,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3303, 102, 168, 343, 57, 124, 60, 363])).
% 1.95/2.14 tff(3305,plain,((~b(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(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(3306,plain,
% 1.95/2.14 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3305, 343, 168, 57, 124, 3213])).
% 1.95/2.14 tff(3307,plain,
% 1.95/2.14 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[341, 3306])).
% 1.95/2.14 tff(3308,plain,
% 1.95/2.14 (~r(z, s(z))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3291, 235, 2, 780, 90])).
% 1.95/2.14 tff(3309,plain,
% 1.95/2.14 (b(z, s(z))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[88, 3308])).
% 1.95/2.14 tff(3310,plain,
% 1.95/2.14 (((~![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(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)), 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(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)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3311,plain,
% 1.95/2.14 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(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(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)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3312,plain,
% 1.95/2.14 (((~![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(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(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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[3311])).
% 1.95/2.14 tff(3313,plain,
% 1.95/2.14 (((~![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(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(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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.95/2.14 inference(transitivity,[status(thm)],[3312, 3310])).
% 1.95/2.14 tff(3314,plain,
% 1.95/2.14 ((~![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(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(z)), s(s(s(s(s(z))))))))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(3315,plain,
% 1.95/2.14 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[3314, 3313])).
% 1.95/2.14 tff(3316,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3315, 17, 235, 63, 65, 62, 305])).
% 1.95/2.14 tff(3317,plain,((~r(s(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(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(3318,plain,
% 1.95/2.14 (~r(s(s(z)), z)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3317, 235, 62, 63, 305])).
% 1.95/2.14 tff(3319,plain,
% 1.95/2.14 (b(s(s(z)), z)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[1392, 3318])).
% 1.95/2.14 tff(3320,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[2744, 3319, 3309, 168, 363])).
% 1.95/2.14 tff(3321,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(3322,plain,
% 1.95/2.14 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3321, 3307, 3213, 3297, 63, 168, 2, 3261, 90])).
% 1.95/2.14 tff(3323,plain,
% 1.95/2.14 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[232, 3322])).
% 1.95/2.14 tff(3324,plain,
% 1.95/2.14 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[1346, 3323, 2141, 57])).
% 1.95/2.14 tff(3325,plain,
% 1.95/2.14 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[496, 3324])).
% 1.95/2.14 tff(3326,plain,
% 1.95/2.14 (~r(s(s(z)), z)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[2482, 3325, 2, 63])).
% 1.95/2.14 tff(3327,plain,
% 1.95/2.14 (b(s(s(z)), z)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[1392, 3326])).
% 1.95/2.14 tff(3328,plain,
% 1.95/2.14 (((~![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(s(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(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(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3329,plain,
% 1.95/2.14 (((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(s(s(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(s(s(z)))))), s(s(s(s(z)))))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3330,plain,
% 1.95/2.14 (((~![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(s(s(s(s(s(s(z)))))), 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(s(s(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(s(s(z)))))), s(s(s(s(z))))))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[3329])).
% 1.95/2.14 tff(3331,plain,
% 1.95/2.14 (((~![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(s(s(s(s(s(s(z)))))), 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(s(s(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(s(s(z)))))), s(s(s(s(z)))))))),
% 1.95/2.14 inference(transitivity,[status(thm)],[3330, 3328])).
% 1.95/2.14 tff(3332,plain,
% 1.95/2.14 ((~![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(s(s(s(s(s(s(z)))))), 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)))))))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(3333,plain,
% 1.95/2.14 ((~![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(s(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(s(s(z)))))), s(s(s(s(z))))))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 1.95/2.14 tff(3334,plain,
% 1.95/2.14 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3333, 17, 3325, 63, 2, 1537])).
% 1.95/2.14 tff(3335,plain,
% 1.95/2.14 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 3334])).
% 1.95/2.14 tff(3336,plain,
% 1.95/2.14 (~b(z, s(z))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[2744, 3327, 168, 3213])).
% 1.95/2.14 tff(3337,plain,
% 1.95/2.14 (r(z, s(z))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[88, 3336])).
% 1.95/2.14 tff(3338,plain,
% 1.95/2.14 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3333, 17, 5, 63, 2, 1537])).
% 1.95/2.14 tff(3339,plain,
% 1.95/2.14 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 3338])).
% 1.95/2.14 tff(3340,plain,
% 1.95/2.14 (((~![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(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))))) <=> ((~![X0: $i, 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)))))), 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))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3341,plain,
% 1.95/2.14 (((~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(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(z)))), s(z))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3342,plain,
% 1.95/2.14 (((~![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(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(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(z)))), s(z)))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[3341])).
% 1.95/2.14 tff(3343,plain,
% 1.95/2.14 (((~![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(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(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(z)))), s(z))))),
% 1.95/2.14 inference(transitivity,[status(thm)],[3342, 3340])).
% 1.95/2.14 tff(3344,plain,
% 1.95/2.14 ((~![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(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)))))))))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(3345,plain,
% 1.95/2.14 ((~![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(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)))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 1.95/2.14 tff(3346,plain,
% 1.95/2.14 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3345, 17, 68, 63, 2926, 1537])).
% 1.95/2.14 tff(3347,plain,
% 1.95/2.14 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[2072, 3346])).
% 1.95/2.14 tff(3348,plain,
% 1.95/2.14 (((~![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(z))) | (~r(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(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(z))) | (~r(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(s(s(s(z)))), s(z))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3349,plain,
% 1.95/2.14 (((~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(z))) | (~r(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(s(s(s(z)))), s(z))))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(3350,plain,
% 1.95/2.14 (((~![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(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(z))) | (~r(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(s(s(s(z)))), s(z)))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[3349])).
% 1.95/2.14 tff(3351,plain,
% 1.95/2.14 (((~![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(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(z))) | (~r(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(s(s(s(z)))), s(z))))),
% 1.95/2.15 inference(transitivity,[status(thm)],[3350, 3348])).
% 1.95/2.15 tff(3352,plain,
% 1.95/2.15 ((~![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(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)))))))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(3353,plain,
% 1.95/2.15 ((~![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(z))) | (~r(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(s(s(s(z)))), s(z)))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 1.95/2.15 tff(3354,plain,
% 1.95/2.15 (~r(z, s(s(s(s(z)))))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[3353, 17, 68, 90, 2926, 61])).
% 1.95/2.15 tff(3355,plain,
% 1.95/2.15 (b(z, s(s(s(s(z)))))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[54, 3354])).
% 1.95/2.15 tff(3356,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(3357,plain,
% 1.95/2.15 (((~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)))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(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)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(3358,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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(X0, 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(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))))))))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[3357])).
% 1.95/2.15 tff(3359,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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(X0, 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(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)))))))))),
% 1.95/2.15 inference(transitivity,[status(thm)],[3358, 3356])).
% 1.95/2.15 tff(3360,plain,
% 1.95/2.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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)))))))))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(3361,plain,
% 1.95/2.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 1.95/2.15 tff(3362,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[3361, 102, 124, 3355, 3347, 3339])).
% 1.95/2.15 tff(3363,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, s(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(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(3364,plain,
% 1.95/2.15 (~r(s(s(s(s(z)))), s(z))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[3363, 1537, 3325, 63, 2, 124, 3337, 90, 3203])).
% 1.95/2.15 tff(3365,plain,
% 1.95/2.15 (b(s(s(s(s(z)))), s(z))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1573, 3364])).
% 1.95/2.15 tff(3366,assumption,(b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 1.95/2.15 tff(3367,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(3368,plain,
% 1.95/2.15 (((~b(s(s(z)), s(z))) | (~b(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(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(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(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))))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(3369,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(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(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(X0, 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(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(z)))), s(z)))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[3368])).
% 1.95/2.15 tff(3370,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(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(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(X0, 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(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(z)))), s(z))))),
% 1.95/2.15 inference(transitivity,[status(thm)],[3369, 3367])).
% 1.95/2.15 tff(3371,plain,
% 1.95/2.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(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(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(3372,plain,
% 1.95/2.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z)))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[3371, 3370])).
% 1.95/2.15 tff(3373,plain,
% 1.95/2.15 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[3372, 102, 168, 364, 57, 2300, 3366])).
% 1.95/2.15 tff(3374,plain,
% 1.95/2.15 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 3373])).
% 1.95/2.15 tff(3375,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(3376,plain,
% 1.95/2.15 (((~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(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(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(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))))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(3377,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[3376])).
% 1.95/2.15 tff(3378,plain,
% 1.95/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 1.95/2.15 inference(transitivity,[status(thm)],[3377, 3375])).
% 1.95/2.15 tff(3379,plain,
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% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(3380,plain,
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% 1.95/2.15 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 1.95/2.15 tff(3381,plain,
% 1.95/2.15 (~b(s(s(s(s(z)))), z)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[3380, 102, 343, 364, 124, 2300, 3366])).
% 1.95/2.15 tff(3382,plain,
% 1.95/2.15 (r(s(s(s(s(z)))), z)),
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% 1.95/2.15 tff(3384,plain,
% 1.95/2.15 (((~![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(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(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)))))))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[3383])).
% 1.95/2.15 tff(3385,plain,
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% 1.95/2.15 inference(transitivity,[status(thm)],[3384, 1538])).
% 1.95/2.15 tff(3386,plain,
% 1.95/2.15 ((~![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(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))))))))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(3387,plain,
% 1.95/2.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 1.95/2.15 tff(3388,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[3387, 17, 58, 90, 3382, 3374])).
% 1.95/2.15 tff(3389,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(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(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(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(3390,plain,
% 1.95/2.15 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[3389, 3365, 90, 343, 2141, 124, 58, 168, 57])).
% 1.95/2.15 tff(3391,plain,
% 1.95/2.15 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2072, 3390])).
% 1.95/2.15 tff(3392,plain,
% 1.95/2.15 (((~![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(s(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(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(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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3393,plain,
% 1.95/2.16 (((~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(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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3394,plain,
% 1.95/2.16 (((~![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)))))), 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(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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 1.95/2.16 inference(monotonicity,[status(thm)],[3393])).
% 1.95/2.16 tff(3395,plain,
% 1.95/2.16 (((~![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)))))), 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(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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.16 inference(transitivity,[status(thm)],[3394, 3392])).
% 1.95/2.16 tff(3396,plain,
% 1.95/2.16 ((~![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)))))), 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)))))))),
% 1.95/2.16 inference(quant_inst,[status(thm)],[])).
% 1.95/2.16 tff(3397,plain,
% 1.95/2.16 ((~![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(s(s(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(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.95/2.16 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 1.95/2.16 tff(3398,plain,
% 1.95/2.16 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3397, 17, 58, 63, 3307, 3391])).
% 1.95/2.16 tff(3399,plain,
% 1.95/2.16 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[2114, 3398])).
% 1.95/2.16 tff(3400,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3401,plain,
% 1.95/2.16 (((~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(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(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)))))), s(s(s(s(z)))))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3402,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.95/2.16 inference(monotonicity,[status(thm)],[3401])).
% 1.95/2.16 tff(3403,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))),
% 1.95/2.16 inference(transitivity,[status(thm)],[3402, 3400])).
% 1.95/2.16 tff(3404,plain,
% 1.95/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.95/2.16 inference(quant_inst,[status(thm)],[])).
% 1.95/2.16 tff(3405,plain,
% 1.95/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 1.95/2.16 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 1.95/2.16 tff(3406,plain,
% 1.95/2.16 ($false),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3405, 102, 2141, 3399, 1556, 3335])).
% 1.95/2.16 tff(3407,plain,((~r(s(s(s(s(z)))), 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(z))))))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.16 tff(3408,plain,
% 1.95/2.16 (~r(s(s(s(s(z)))), z)),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3407, 343, 63, 90, 2, 58, 124, 168, 57])).
% 1.95/2.16 tff(3409,plain,
% 1.95/2.16 (b(s(s(s(s(z)))), z)),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[2083, 3408])).
% 1.95/2.16 tff(3410,assumption,(b(s(s(s(s(z)))), z)), introduced(assumption)).
% 1.95/2.16 tff(3411,assumption,(b(z, s(s(s(s(z)))))), introduced(assumption)).
% 1.95/2.16 tff(3412,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3413,plain,
% 1.95/2.16 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), 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)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3414,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 1.95/2.16 inference(monotonicity,[status(thm)],[3413])).
% 1.95/2.16 tff(3415,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 1.95/2.16 inference(transitivity,[status(thm)],[3414, 3412])).
% 1.95/2.16 tff(3416,plain,
% 1.95/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 1.95/2.16 inference(quant_inst,[status(thm)],[])).
% 1.95/2.16 tff(3417,plain,
% 1.95/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 1.95/2.16 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 1.95/2.16 tff(3418,plain,
% 1.95/2.16 ($false),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3417, 102, 56, 168, 3411, 363, 3410])).
% 1.95/2.16 tff(3419,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.16 tff(3420,plain,
% 1.95/2.16 (~b(z, s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3419, 3409, 168, 3327, 3213])).
% 1.95/2.16 tff(3421,plain,
% 1.95/2.16 (r(z, s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[54, 3420])).
% 1.95/2.16 tff(3422,plain,
% 1.95/2.16 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[1346, 197, 2141, 57])).
% 1.95/2.16 tff(3423,plain,
% 1.95/2.16 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[496, 3422])).
% 1.95/2.16 tff(3424,plain,
% 1.95/2.16 (~r(s(s(s(s(z)))), s(s(z)))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[2043, 17, 3423, 3297, 6])).
% 1.95/2.16 tff(3425,plain,
% 1.95/2.16 (b(s(s(s(s(z)))), s(s(z)))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[2048, 3424])).
% 1.95/2.16 tff(3426,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3427,plain,
% 1.95/2.16 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), 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(z)), s(z))) | (~b(s(z), z)) | (~b(s(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3428,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 1.95/2.16 inference(monotonicity,[status(thm)],[3427])).
% 1.95/2.16 tff(3429,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.95/2.16 inference(transitivity,[status(thm)],[3428, 3426])).
% 1.95/2.16 tff(3430,plain,
% 1.95/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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))))))))),
% 1.95/2.16 inference(quant_inst,[status(thm)],[])).
% 1.95/2.16 tff(3431,plain,
% 1.95/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))),
% 1.95/2.16 inference(modus_ponens,[status(thm)],[3430, 3429])).
% 1.95/2.16 tff(3432,plain,
% 1.95/2.16 ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3431, 102, 168, 57, 3213, 3410])).
% 1.95/2.16 tff(3433,plain,
% 1.95/2.16 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3432, 3425])).
% 1.95/2.16 tff(3434,plain,
% 1.95/2.16 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 3433])).
% 1.95/2.16 tff(3435,plain,
% 1.95/2.16 (~r(s(s(z)), z)),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[2482, 3423, 2, 63])).
% 1.95/2.16 tff(3436,plain,
% 1.95/2.16 (b(s(s(z)), z)),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[1392, 3435])).
% 1.95/2.16 tff(3437,plain,
% 1.95/2.16 (~b(z, s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3419, 3410, 168, 3436, 3213])).
% 1.95/2.16 tff(3438,plain,
% 1.95/2.16 (r(z, s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[54, 3437])).
% 1.95/2.16 tff(3439,plain,
% 1.95/2.16 ((s(s(z)) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(z)))),
% 1.95/2.16 inference(commutativity,[status(thm)],[])).
% 1.95/2.16 tff(3440,assumption,(s(s(z)) = s(s(s(s(z))))), introduced(assumption)).
% 1.95/2.16 tff(3441,plain,
% 1.95/2.16 (s(s(s(s(z)))) = s(s(z))),
% 1.95/2.16 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 1.95/2.16 tff(3442,plain,
% 1.95/2.16 ($false),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[1610, 3441])).
% 1.95/2.16 tff(3443,plain,(~(s(s(z)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.16 tff(3444,plain,
% 1.95/2.16 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3397, 17, 58, 63, 305, 6])).
% 1.95/2.16 tff(3445,plain,
% 1.95/2.16 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[2114, 3444])).
% 1.95/2.16 tff(3446,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3447,plain,
% 1.95/2.16 (((~b(s(s(z)), z)) | (~b(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(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.95/2.16 inference(rewrite,[status(thm)],[])).
% 1.95/2.16 tff(3448,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 1.95/2.16 inference(monotonicity,[status(thm)],[3447])).
% 1.95/2.16 tff(3449,plain,
% 1.95/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 1.95/2.16 inference(transitivity,[status(thm)],[3448, 3446])).
% 1.95/2.16 tff(3450,plain,
% 1.95/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.95/2.16 inference(quant_inst,[status(thm)],[])).
% 1.95/2.16 tff(3451,plain,
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% 1.95/2.16 inference(modus_ponens,[status(thm)],[3450, 3449])).
% 1.95/2.16 tff(3452,plain,
% 1.95/2.16 (~b(s(s(z)), s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3451, 102, 3436, 197, 3445, 3425])).
% 1.95/2.16 tff(3453,plain,
% 1.95/2.16 (((~![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))))))),
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% 1.95/2.16 tff(3454,plain,
% 1.95/2.16 ((~![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))))))),
% 1.95/2.16 inference(quant_inst,[status(thm)],[])).
% 1.95/2.16 tff(3455,plain,
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% 1.95/2.16 inference(modus_ponens,[status(thm)],[3454, 3453])).
% 1.95/2.16 tff(3456,plain,
% 1.95/2.16 ((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)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3455, 49])).
% 1.95/2.16 tff(3457,plain,
% 1.95/2.16 (r(s(s(z)), s(s(s(s(z)))))),
% 1.95/2.16 inference(unit_resolution,[status(thm)],[3456, 3452, 3443])).
% 1.95/2.16 tff(3458,plain,
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% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3459,plain,
% 1.95/2.17 (((~r(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(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z))))) <=> ((~r(z, s(s(s(s(s(z))))))) | (~r(z, 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(z, s(s(s(s(z)))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3460,plain,
% 1.95/2.17 (((~![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(z)))), s(s(s(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(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(z, 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(z, s(s(s(s(z))))))))),
% 1.95/2.17 inference(monotonicity,[status(thm)],[3459])).
% 1.95/2.17 tff(3461,plain,
% 1.95/2.17 (((~![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(z)))), s(s(s(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(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(z, 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(z, s(s(s(s(z)))))))),
% 1.95/2.17 inference(transitivity,[status(thm)],[3460, 3458])).
% 1.95/2.17 tff(3462,plain,
% 1.95/2.17 ((~![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(z)))), s(s(s(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(z, s(s(z)))))),
% 1.95/2.17 inference(quant_inst,[status(thm)],[])).
% 1.95/2.17 tff(3463,plain,
% 1.95/2.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))),
% 1.95/2.17 inference(modus_ponens,[status(thm)],[3462, 3461])).
% 1.95/2.17 tff(3464,plain,
% 1.95/2.17 ($false),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3463, 17, 2, 90, 3457, 3438, 3434])).
% 1.95/2.17 tff(3465,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(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(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~r(s(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(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.17 tff(3466,plain,
% 1.95/2.17 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3465, 3323, 90, 2, 168, 57, 3409, 58, 63, 3307])).
% 1.95/2.17 tff(3467,plain,
% 1.95/2.17 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[2072, 3466])).
% 1.95/2.17 tff(3468,plain,
% 1.95/2.17 (~b(s(s(s(s(z)))), s(z))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3389, 3467, 90, 343, 2141, 124, 58, 168, 57])).
% 1.95/2.17 tff(3469,plain,
% 1.95/2.17 (r(s(s(s(s(z)))), s(z))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[1573, 3468])).
% 1.95/2.17 tff(3470,plain,
% 1.95/2.17 ($false),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3353, 17, 3337, 90, 3469, 3421, 3203])).
% 1.95/2.17 tff(3471,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.17 tff(3472,plain,
% 1.95/2.17 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3471, 3249, 90, 58, 168, 57, 2, 63])).
% 1.95/2.17 tff(3473,plain,
% 1.95/2.17 (r(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[538, 3472])).
% 1.95/2.17 tff(3474,plain,
% 1.95/2.17 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[1180, 3473, 2, 57, 3239, 3259, 3237, 58])).
% 1.95/2.17 tff(3475,plain,
% 1.95/2.17 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[1040, 3473, 2, 3297])).
% 1.95/2.17 tff(3476,plain,
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% 1.95/2.17 inference(unit_resolution,[status(thm)],[496, 3475, 3474])).
% 1.95/2.17 tff(3477,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.17 tff(3478,plain,
% 1.95/2.17 (~r(s(s(s(s(s(s(z)))))), z)),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3477, 3229, 58, 90, 168, 2])).
% 1.95/2.17 tff(3479,plain,
% 1.95/2.17 (b(s(s(s(s(s(s(z)))))), z)),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[252, 3478])).
% 1.95/2.17 tff(3480,plain,
% 1.95/2.17 (((~![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(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))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3481,plain,
% 1.95/2.17 (((~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(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))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3482,plain,
% 1.95/2.17 (((~![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)))))), 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(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)))))))))),
% 1.95/2.17 inference(monotonicity,[status(thm)],[3481])).
% 1.95/2.17 tff(3483,plain,
% 1.95/2.17 (((~![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)))))), 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(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))))))))),
% 1.95/2.17 inference(transitivity,[status(thm)],[3482, 3480])).
% 1.95/2.17 tff(3484,plain,
% 1.95/2.17 ((~![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)))))), 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))))))))),
% 1.95/2.17 inference(quant_inst,[status(thm)],[])).
% 1.95/2.17 tff(3485,plain,
% 1.95/2.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(modus_ponens,[status(thm)],[3484, 3483])).
% 1.95/2.17 tff(3486,plain,
% 1.95/2.17 ($false),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3485, 17, 305, 64, 61, 167])).
% 1.95/2.17 tff(3487,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(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.17 tff(3488,plain,
% 1.95/2.17 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3487, 305, 61, 64])).
% 1.95/2.17 tff(3489,plain,
% 1.95/2.17 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[165, 3488])).
% 1.95/2.17 tff(3490,plain,
% 1.95/2.17 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[820, 17, 90, 305, 64])).
% 1.95/2.17 tff(3491,plain,
% 1.95/2.17 (b(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[538, 3490])).
% 1.95/2.17 tff(3492,plain,
% 1.95/2.17 ($false),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[2996, 102, 4, 3491, 363, 3489])).
% 1.95/2.17 tff(3493,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(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(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.17 tff(3494,plain,
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% 1.95/2.17 tff(3495,plain,
% 1.95/2.17 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[341, 3494])).
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% 1.95/2.17 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[2442, 498, 57, 3495])).
% 1.95/2.17 tff(3497,plain,
% 1.95/2.17 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[279, 3496])).
% 1.95/2.17 tff(3498,plain,
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% 1.95/2.17 inference(unit_resolution,[status(thm)],[594, 3497, 2, 64, 90])).
% 1.95/2.17 tff(3499,plain,
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% 1.95/2.17 inference(unit_resolution,[status(thm)],[538, 3498])).
% 1.95/2.17 tff(3500,plain,
% 1.95/2.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(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(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3501,plain,
% 1.95/2.17 (((~b(s(s(s(s(s(s(z)))))), 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(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(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(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3502,plain,
% 1.95/2.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 1.95/2.17 inference(monotonicity,[status(thm)],[3501])).
% 1.95/2.17 tff(3503,plain,
% 1.95/2.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 1.95/2.17 inference(transitivity,[status(thm)],[3502, 3500])).
% 1.95/2.17 tff(3504,plain,
% 1.95/2.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 1.95/2.17 inference(quant_inst,[status(thm)],[])).
% 1.95/2.17 tff(3505,plain,
% 1.95/2.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 1.95/2.17 inference(modus_ponens,[status(thm)],[3504, 3503])).
% 1.95/2.17 tff(3506,plain,
% 1.95/2.17 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3505, 102, 498, 4, 3499, 363])).
% 1.95/2.17 tff(3507,plain,
% 1.95/2.17 (~b(s(s(s(s(s(z))))), s(z))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3305, 3499, 168, 57, 3495, 363])).
% 1.95/2.17 tff(3508,plain,
% 1.95/2.17 (r(s(s(s(s(s(z))))), s(z))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[303, 3507])).
% 1.95/2.17 tff(3509,plain,
% 1.95/2.17 (((~![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(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))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3510,plain,
% 1.95/2.17 (((~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(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))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3511,plain,
% 1.95/2.17 (((~![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(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(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)))))))))),
% 1.95/2.17 inference(monotonicity,[status(thm)],[3510])).
% 1.95/2.17 tff(3512,plain,
% 1.95/2.17 (((~![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(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(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))))))))),
% 1.95/2.17 inference(transitivity,[status(thm)],[3511, 3509])).
% 1.95/2.17 tff(3513,plain,
% 1.95/2.17 ((~![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(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))))))))),
% 1.95/2.17 inference(quant_inst,[status(thm)],[])).
% 1.95/2.17 tff(3514,plain,
% 1.95/2.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(modus_ponens,[status(thm)],[3513, 3512])).
% 1.95/2.17 tff(3515,plain,
% 1.95/2.17 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3514, 17, 3508, 64, 61])).
% 1.95/2.17 tff(3516,plain,
% 1.95/2.17 ($false),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[409, 3515, 3506])).
% 1.95/2.17 tff(3517,plain,((~b(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(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.17 tff(3518,plain,
% 1.95/2.17 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[3517, 64, 61, 4, 363, 168, 57, 2, 90])).
% 1.95/2.17 tff(3519,plain,
% 1.95/2.17 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
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% 1.95/2.17 tff(3521,plain,
% 1.95/2.17 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[279, 3520])).
% 1.95/2.17 tff(3522,plain,
% 1.95/2.17 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[566, 1, 2, 5, 90])).
% 1.95/2.17 tff(3523,plain,
% 1.95/2.17 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.17 inference(unit_resolution,[status(thm)],[232, 3522])).
% 1.95/2.17 tff(3524,plain,
% 1.95/2.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)), 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(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(X0, 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(s(z)), 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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3525,plain,
% 1.95/2.17 (((~b(z, s(z))) | (~b(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), 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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.17 inference(rewrite,[status(thm)],[])).
% 1.95/2.17 tff(3526,plain,
% 1.95/2.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)), 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(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 1.95/2.17 inference(monotonicity,[status(thm)],[3525])).
% 1.95/2.17 tff(3527,plain,
% 1.95/2.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)), 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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.17 inference(transitivity,[status(thm)],[3526, 3524])).
% 1.95/2.18 tff(3528,plain,
% 1.95/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.95/2.18 inference(quant_inst,[status(thm)],[])).
% 1.95/2.18 tff(3529,plain,
% 1.95/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 1.95/2.18 tff(3530,plain,
% 1.95/2.18 ($false),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3529, 102, 168, 4, 254, 60, 197, 382])).
% 1.95/2.18 tff(3531,plain,((~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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.18 tff(3532,plain,
% 1.95/2.18 (~b(z, s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3531, 3523, 168, 3521, 4, 60])).
% 1.95/2.18 tff(3533,plain,
% 1.95/2.18 (r(z, s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[88, 3532])).
% 1.95/2.18 tff(3534,plain,
% 1.95/2.18 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3062, 3533, 64, 90, 1])).
% 1.95/2.18 tff(3535,plain,
% 1.95/2.18 (b(s(z), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[165, 3534])).
% 1.95/2.18 tff(3536,plain,
% 1.95/2.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 1.95/2.18 inference(rewrite,[status(thm)],[])).
% 1.95/2.18 tff(3537,plain,
% 1.95/2.18 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(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(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(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(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 1.95/2.18 inference(rewrite,[status(thm)],[])).
% 1.95/2.18 tff(3538,plain,
% 1.95/2.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 1.95/2.18 inference(monotonicity,[status(thm)],[3537])).
% 1.95/2.18 tff(3539,plain,
% 1.95/2.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 1.95/2.18 inference(transitivity,[status(thm)],[3538, 3536])).
% 1.95/2.18 tff(3540,plain,
% 1.95/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 1.95/2.18 inference(quant_inst,[status(thm)],[])).
% 1.95/2.18 tff(3541,plain,
% 1.95/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(modus_ponens,[status(thm)],[3540, 3539])).
% 1.95/2.18 tff(3542,plain,
% 1.95/2.18 ($false),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3541, 102, 425, 168, 254, 125])).
% 1.95/2.18 tff(3543,plain,((~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(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.18 tff(3544,plain,
% 1.95/2.18 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3543, 3521, 168, 3535])).
% 1.95/2.18 tff(3545,plain,
% 1.95/2.18 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[409, 3544])).
% 1.95/2.18 tff(3546,plain,
% 1.95/2.18 (((~![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(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(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(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(z))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(rewrite,[status(thm)],[])).
% 1.95/2.18 tff(3547,plain,
% 1.95/2.18 (((~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(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(z))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(rewrite,[status(thm)],[])).
% 1.95/2.18 tff(3548,plain,
% 1.95/2.18 (((~![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(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(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(z))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 1.95/2.18 inference(monotonicity,[status(thm)],[3547])).
% 1.95/2.18 tff(3549,plain,
% 1.95/2.18 (((~![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(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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(transitivity,[status(thm)],[3548, 3546])).
% 1.95/2.18 tff(3550,plain,
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% 1.95/2.18 inference(quant_inst,[status(thm)],[])).
% 1.95/2.18 tff(3551,plain,
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% 1.95/2.18 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 1.95/2.18 tff(3552,plain,
% 1.95/2.18 ($false),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3551, 17, 3545, 3533, 1, 90, 61])).
% 1.95/2.18 tff(3553,plain,((~r(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))))))) | (~b(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)))))), z)) | (~b(s(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)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.18 tff(3554,plain,
% 1.95/2.18 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3553, 64, 61, 168, 90, 4, 3495, 2, 3519])).
% 1.95/2.18 tff(3555,plain,
% 1.95/2.18 (b(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[538, 3554])).
% 1.95/2.18 tff(3556,plain,
% 1.95/2.18 (~b(s(s(s(s(s(z))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3305, 3555, 168, 57, 3495, 363])).
% 1.95/2.18 tff(3557,plain,
% 1.95/2.18 (r(s(s(s(s(s(z))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[303, 3556])).
% 1.95/2.18 tff(3558,plain,
% 1.95/2.18 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3514, 17, 3557, 64, 61])).
% 1.95/2.18 tff(3559,plain,
% 1.95/2.18 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[2551, 102, 4, 3555, 363])).
% 1.95/2.18 tff(3560,plain,
% 1.95/2.18 ($false),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[409, 3559, 3558])).
% 1.95/2.18 tff(3561,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), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.18 tff(3562,plain,
% 1.95/2.18 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3561, 3479, 3213, 3203, 168, 3229, 90, 2])).
% 1.95/2.18 tff(3563,plain,
% 1.95/2.18 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[361, 3562])).
% 1.95/2.18 tff(3564,plain,
% 1.95/2.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(rewrite,[status(thm)],[])).
% 1.95/2.18 tff(3565,plain,
% 1.95/2.18 (((~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(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(z)), s(z))) | (~b(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(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(rewrite,[status(thm)],[])).
% 1.95/2.18 tff(3566,plain,
% 1.95/2.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 1.95/2.18 inference(monotonicity,[status(thm)],[3565])).
% 1.95/2.18 tff(3567,plain,
% 1.95/2.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.18 inference(transitivity,[status(thm)],[3566, 3564])).
% 1.95/2.18 tff(3568,plain,
% 1.95/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.95/2.18 inference(quant_inst,[status(thm)],[])).
% 1.95/2.18 tff(3569,plain,
% 1.95/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(modus_ponens,[status(thm)],[3568, 3567])).
% 1.95/2.18 tff(3570,plain,
% 1.95/2.18 ((~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)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3569, 102, 168, 3479, 3229, 3213])).
% 1.95/2.18 tff(3571,plain,
% 1.95/2.18 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3570, 3563])).
% 1.95/2.18 tff(3572,plain,
% 1.95/2.18 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[496, 3571])).
% 1.95/2.18 tff(3573,plain,
% 1.95/2.18 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[2996, 102, 4, 124, 3213])).
% 1.95/2.18 tff(3574,plain,
% 1.95/2.18 (r(s(z), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[165, 3573])).
% 1.95/2.18 tff(3575,plain,
% 1.95/2.18 ((~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)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3569, 102, 168, 4, 57, 3213])).
% 1.95/2.18 tff(3576,plain,
% 1.95/2.18 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3575, 364])).
% 1.95/2.18 tff(3577,plain,
% 1.95/2.18 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[496, 3576])).
% 1.95/2.18 tff(3578,plain,
% 1.95/2.18 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[2551, 102, 4, 124, 3213])).
% 1.95/2.18 tff(3579,plain,
% 1.95/2.18 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[409, 3578])).
% 1.95/2.18 tff(3580,plain,
% 1.95/2.18 (~b(s(s(z)), z)),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[262, 254, 4, 124])).
% 1.95/2.18 tff(3581,plain,
% 1.95/2.18 (r(s(s(z)), z)),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[1392, 3580])).
% 1.95/2.18 tff(3582,plain,
% 1.95/2.18 ($false),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[2277, 17, 58, 3283, 3581, 90])).
% 1.95/2.18 tff(3583,plain,((~b(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(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(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.18 tff(3584,plain,
% 1.95/2.18 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3583, 124, 90, 168, 364, 57, 4, 58])).
% 1.95/2.18 tff(3585,plain,
% 1.95/2.18 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[279, 3584])).
% 1.95/2.18 tff(3586,plain,
% 1.95/2.18 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[2067, 3585, 3579, 3577, 3574, 168])).
% 1.95/2.18 tff(3587,plain,
% 1.95/2.18 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[2072, 3586])).
% 1.95/2.18 tff(3588,plain,
% 1.95/2.18 (~r(s(z), s(s(z)))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[786, 17, 3577, 3585, 3574])).
% 1.95/2.18 tff(3589,plain,
% 1.95/2.18 (b(s(z), s(s(z)))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[698, 3588])).
% 1.95/2.18 tff(3590,plain,
% 1.95/2.18 (~b(s(s(s(s(s(z))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[3257, 3589, 168, 57])).
% 1.95/2.18 tff(3591,plain,
% 1.95/2.18 (r(s(s(s(s(s(z))))), s(z))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[303, 3590])).
% 1.95/2.18 tff(3592,plain,
% 1.95/2.18 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[2433, 17, 3591, 3579, 3574])).
% 1.95/2.18 tff(3593,plain,
% 1.95/2.18 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.95/2.18 inference(unit_resolution,[status(thm)],[341, 3592])).
% 1.95/2.19 tff(3594,assumption,(b(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 1.95/2.19 tff(3595,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3596,plain,
% 1.95/2.19 (((~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(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(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)))))))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3597,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(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(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(X0, 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(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))))))))))),
% 1.95/2.19 inference(monotonicity,[status(thm)],[3596])).
% 1.95/2.19 tff(3598,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(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(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(X0, 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(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)))))))))),
% 1.95/2.19 inference(transitivity,[status(thm)],[3597, 3595])).
% 1.95/2.19 tff(3599,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(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(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)))))))))),
% 1.95/2.19 inference(quant_inst,[status(thm)],[])).
% 1.95/2.19 tff(3600,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.95/2.19 inference(modus_ponens,[status(thm)],[3599, 3598])).
% 1.95/2.19 tff(3601,plain,
% 1.95/2.19 ($false),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3600, 102, 364, 60, 3366, 3594])).
% 1.95/2.19 tff(3602,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(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))))))))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.19 tff(3603,plain,
% 1.95/2.19 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3602, 3593, 364, 3587])).
% 1.95/2.19 tff(3604,plain,
% 1.95/2.19 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 3603])).
% 1.95/2.19 tff(3605,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(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(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3606,plain,
% 1.95/2.19 (((~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(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(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)))))))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3607,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 1.95/2.19 inference(monotonicity,[status(thm)],[3606])).
% 1.95/2.19 tff(3608,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 1.95/2.19 inference(transitivity,[status(thm)],[3607, 3605])).
% 1.95/2.19 tff(3609,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 1.95/2.19 inference(quant_inst,[status(thm)],[])).
% 1.95/2.19 tff(3610,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 1.95/2.19 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 1.95/2.19 tff(3611,plain,
% 1.95/2.19 (~b(z, s(s(s(s(z)))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3610, 102, 4, 124, 3587])).
% 1.95/2.19 tff(3612,plain,
% 1.95/2.19 (r(z, s(s(s(s(z)))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[54, 3611])).
% 1.95/2.19 tff(3613,plain,
% 1.95/2.19 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[2108, 102, 4, 124, 3593, 3587])).
% 1.95/2.19 tff(3614,plain,
% 1.95/2.19 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[2114, 3613])).
% 1.95/2.19 tff(3615,plain,
% 1.95/2.19 ($false),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[2330, 17, 90, 3614, 3612, 3604])).
% 1.95/2.19 tff(3616,plain,((~b(z, s(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(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.19 tff(3617,plain,
% 1.95/2.19 (~b(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3616, 3479, 90, 3563, 168, 3229, 58])).
% 1.95/2.19 tff(3618,plain,
% 1.95/2.19 (r(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[538, 3617])).
% 1.95/2.19 tff(3619,plain,
% 1.95/2.19 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[1040, 3618, 2, 3572])).
% 1.95/2.19 tff(3620,plain,
% 1.95/2.19 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[279, 3619])).
% 1.95/2.19 tff(3621,plain,
% 1.95/2.19 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[566, 3618, 2, 3572, 90])).
% 1.95/2.19 tff(3622,plain,
% 1.95/2.19 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[232, 3621])).
% 1.95/2.19 tff(3623,plain,
% 1.95/2.19 ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3280, 102, 168, 3563, 3229])).
% 1.95/2.19 tff(3624,plain,
% 1.95/2.19 ($false),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3623, 3622, 3620])).
% 1.95/2.19 tff(3625,plain,((~r(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.19 tff(3626,plain,
% 1.95/2.19 (~r(z, s(s(z)))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3625, 168, 90, 58])).
% 1.95/2.19 tff(3627,plain,
% 1.95/2.19 (b(z, s(s(z)))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[122, 3626])).
% 1.95/2.19 tff(3628,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3629,plain,
% 1.95/2.19 (((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3630,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z)))))),
% 1.95/2.19 inference(monotonicity,[status(thm)],[3629])).
% 1.95/2.19 tff(3631,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z))))),
% 1.95/2.19 inference(transitivity,[status(thm)],[3630, 3628])).
% 1.95/2.19 tff(3632,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z)))))),
% 1.95/2.19 inference(quant_inst,[status(thm)],[])).
% 1.95/2.19 tff(3633,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(z)))),
% 1.95/2.19 inference(modus_ponens,[status(thm)],[3632, 3631])).
% 1.95/2.19 tff(3634,plain,
% 1.95/2.19 (~b(z, s(z))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3633, 102, 3627, 168, 3213])).
% 1.95/2.19 tff(3635,plain,
% 1.95/2.19 (r(z, s(z))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[88, 3634])).
% 1.95/2.19 tff(3636,plain,
% 1.95/2.19 (~r(s(s(s(s(s(z))))), s(z))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3247, 3635, 90, 3203])).
% 1.95/2.19 tff(3637,plain,
% 1.95/2.19 (b(s(s(s(s(s(z))))), s(z))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[303, 3636])).
% 1.95/2.19 tff(3638,plain,
% 1.95/2.19 (~b(s(s(z)), z)),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[2736, 3627, 168, 3213])).
% 1.95/2.19 tff(3639,plain,
% 1.95/2.19 (r(s(s(z)), z)),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[1392, 3638])).
% 1.95/2.19 tff(3640,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3641,plain,
% 1.95/2.19 (((~b(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))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3642,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 1.95/2.19 inference(monotonicity,[status(thm)],[3641])).
% 1.95/2.19 tff(3643,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 1.95/2.19 inference(transitivity,[status(thm)],[3642, 3640])).
% 1.95/2.19 tff(3644,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(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(z)))))),
% 1.95/2.19 inference(quant_inst,[status(thm)],[])).
% 1.95/2.19 tff(3645,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 1.95/2.19 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 1.95/2.19 tff(3646,plain,
% 1.95/2.19 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3645, 102, 3627, 498, 168, 3213])).
% 1.95/2.19 tff(3647,plain,
% 1.95/2.19 (r(s(s(s(s(s(s(z)))))), s(z))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[409, 3646])).
% 1.95/2.19 tff(3648,plain,
% 1.95/2.19 (~r(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[3551, 17, 3647, 3635, 90, 3203])).
% 1.95/2.19 tff(3649,plain,
% 1.95/2.19 (b(z, s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[538, 3648])).
% 1.95/2.19 tff(3650,plain,
% 1.95/2.19 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[1983, 3649, 3627, 498])).
% 1.95/2.19 tff(3651,plain,
% 1.95/2.19 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[279, 3650])).
% 1.95/2.19 tff(3652,plain,
% 1.95/2.19 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[1673, 17, 58, 3639, 90])).
% 1.95/2.19 tff(3653,plain,
% 1.95/2.19 (b(s(s(z)), s(s(s(s(s(z))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[232, 3652])).
% 1.95/2.19 tff(3654,plain,
% 1.95/2.19 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[2617, 498, 3627, 3653, 90])).
% 1.95/2.19 tff(3655,plain,
% 1.95/2.19 (r(s(s(s(s(s(z))))), s(s(z)))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[1711, 3654])).
% 1.95/2.19 tff(3656,plain,
% 1.95/2.19 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[2165, 63, 58, 3, 62])).
% 1.95/2.19 tff(3657,plain,
% 1.95/2.19 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 1.95/2.19 inference(unit_resolution,[status(thm)],[341, 3656])).
% 1.95/2.19 tff(3658,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3659,plain,
% 1.95/2.19 (((~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(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(z)), s(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(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 1.95/2.19 inference(rewrite,[status(thm)],[])).
% 1.95/2.19 tff(3660,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 1.95/2.19 inference(monotonicity,[status(thm)],[3659])).
% 1.95/2.19 tff(3661,plain,
% 1.95/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 1.95/2.19 inference(transitivity,[status(thm)],[3660, 3658])).
% 1.95/2.19 tff(3662,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 1.95/2.19 inference(quant_inst,[status(thm)],[])).
% 1.95/2.19 tff(3663,plain,
% 1.95/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 2.03/2.20 tff(3664,plain,
% 2.03/2.20 ($false),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3663, 102, 498, 2141, 3657, 197])).
% 2.03/2.20 tff(3665,plain,((~r(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))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.20 tff(3666,plain,
% 2.03/2.20 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3665, 498, 3653, 58, 3655, 3651, 90])).
% 2.03/2.20 tff(3667,plain,
% 2.03/2.20 (b(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[252, 3666])).
% 2.03/2.20 tff(3668,plain,
% 2.03/2.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3669,plain,
% 2.03/2.20 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(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)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3670,plain,
% 2.03/2.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.03/2.20 inference(monotonicity,[status(thm)],[3669])).
% 2.03/2.20 tff(3671,plain,
% 2.03/2.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.20 inference(transitivity,[status(thm)],[3670, 3668])).
% 2.03/2.20 tff(3672,plain,
% 2.03/2.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.03/2.20 inference(quant_inst,[status(thm)],[])).
% 2.03/2.20 tff(3673,plain,
% 2.03/2.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.03/2.20 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 2.03/2.20 tff(3674,plain,
% 2.03/2.20 ($false),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3673, 102, 3627, 498, 168, 3667, 3213])).
% 2.03/2.20 tff(3675,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.20 tff(3676,plain,
% 2.03/2.20 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3675, 168, 58, 90])).
% 2.03/2.20 tff(3677,plain,
% 2.03/2.20 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[496, 3676])).
% 2.03/2.20 tff(3678,plain,
% 2.03/2.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(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))))))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3679,plain,
% 2.03/2.20 (((~b(s(s(s(s(s(z))))), 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(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), 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(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))))))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3680,plain,
% 2.03/2.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(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)))))))))),
% 2.03/2.20 inference(monotonicity,[status(thm)],[3679])).
% 2.03/2.20 tff(3681,plain,
% 2.03/2.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(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))))))))),
% 2.03/2.20 inference(transitivity,[status(thm)],[3680, 3678])).
% 2.03/2.20 tff(3682,plain,
% 2.03/2.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.03/2.20 inference(quant_inst,[status(thm)],[])).
% 2.03/2.20 tff(3683,plain,
% 2.03/2.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 2.03/2.20 tff(3684,plain,
% 2.03/2.20 ($false),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3683, 102, 168, 343, 364, 254, 60, 197])).
% 2.03/2.20 tff(3685,plain,((~b(s(s(s(s(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(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.20 tff(3686,plain,
% 2.03/2.20 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3685, 254, 343, 364, 168, 197])).
% 2.03/2.20 tff(3687,plain,
% 2.03/2.20 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[341, 3686])).
% 2.03/2.20 tff(3688,plain,
% 2.03/2.20 (((~![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))))), 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(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)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3689,plain,
% 2.03/2.20 (((~r(s(s(z)), z)) | (~r(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(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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3690,plain,
% 2.03/2.20 (((~![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(z)), z)) | (~r(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(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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.03/2.20 inference(monotonicity,[status(thm)],[3689])).
% 2.03/2.20 tff(3691,plain,
% 2.03/2.20 (((~![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(z)), z)) | (~r(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(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(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.20 inference(transitivity,[status(thm)],[3690, 3688])).
% 2.03/2.20 tff(3692,plain,
% 2.03/2.20 ((~![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(z)), z)) | (~r(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(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.20 inference(quant_inst,[status(thm)],[])).
% 2.03/2.20 tff(3693,plain,
% 2.03/2.20 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.03/2.20 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 2.03/2.20 tff(3694,plain,
% 2.03/2.20 ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3693, 17, 58, 5, 65])).
% 2.03/2.20 tff(3695,plain,
% 2.03/2.20 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3694, 3687])).
% 2.03/2.20 tff(3696,plain,
% 2.03/2.20 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[1711, 3695])).
% 2.03/2.20 tff(3697,plain,
% 2.03/2.20 ($false),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3280, 102, 168, 364, 3696, 254, 197])).
% 2.03/2.20 tff(3698,plain,((~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(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)), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.20 tff(3699,plain,
% 2.03/2.20 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3698, 2141, 168, 3653, 58, 3677, 3639, 3637])).
% 2.03/2.20 tff(3700,plain,
% 2.03/2.20 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[279, 3699])).
% 2.03/2.20 tff(3701,plain,
% 2.03/2.20 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[2713, 3700, 3639, 63])).
% 2.03/2.20 tff(3702,plain,
% 2.03/2.20 (b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[538, 3701])).
% 2.03/2.20 tff(3703,plain,
% 2.03/2.20 (~b(s(z), s(s(z)))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[2822, 3627, 3213, 168])).
% 2.03/2.20 tff(3704,plain,
% 2.03/2.20 (r(s(z), s(s(z)))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[698, 3703])).
% 2.03/2.20 tff(3705,plain,
% 2.03/2.20 (((~![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(z), s(s(z)))) | (~r(z, s(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)))))), s(s(z)))))) <=> ((~![X0: $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(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)))))), s(s(z)))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3706,plain,
% 2.03/2.20 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(z), s(s(z)))) | (~r(z, s(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)))))), s(s(z)))))),
% 2.03/2.20 inference(rewrite,[status(thm)],[])).
% 2.03/2.20 tff(3707,plain,
% 2.03/2.20 (((~![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(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(z), s(s(z)))) | (~r(z, s(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)))))), s(s(z))))))),
% 2.03/2.20 inference(monotonicity,[status(thm)],[3706])).
% 2.03/2.20 tff(3708,plain,
% 2.03/2.20 (((~![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(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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(z), s(s(z)))) | (~r(z, s(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)))))), s(s(z)))))),
% 2.03/2.20 inference(transitivity,[status(thm)],[3707, 3705])).
% 2.03/2.20 tff(3709,plain,
% 2.03/2.20 ((~![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(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), 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)))),
% 2.03/2.20 inference(quant_inst,[status(thm)],[])).
% 2.03/2.20 tff(3710,plain,
% 2.03/2.20 ((~![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(z), s(s(z)))) | (~r(z, s(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)))))), s(s(z))))),
% 2.03/2.20 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 2.03/2.20 tff(3711,plain,
% 2.03/2.20 ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3710, 17, 3704, 3677, 3635])).
% 2.03/2.20 tff(3712,plain,
% 2.03/2.20 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[3711, 63])).
% 2.03/2.20 tff(3713,plain,
% 2.03/2.20 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.20 inference(unit_resolution,[status(thm)],[409, 3712])).
% 2.03/2.21 tff(3714,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(X0, 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)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3715,plain,
% 2.03/2.21 (((~b(s(z), z)) | (~b(s(z), 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(s(z), 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)))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3716,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.03/2.21 inference(monotonicity,[status(thm)],[3715])).
% 2.03/2.21 tff(3717,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.03/2.21 inference(transitivity,[status(thm)],[3716, 3714])).
% 2.03/2.21 tff(3718,plain,
% 2.03/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.03/2.21 inference(quant_inst,[status(thm)],[])).
% 2.03/2.21 tff(3719,plain,
% 2.03/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.03/2.21 inference(modus_ponens,[status(thm)],[3718, 3717])).
% 2.03/2.21 tff(3720,plain,
% 2.03/2.21 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3719, 102, 3713, 3702, 3213])).
% 2.03/2.21 tff(3721,plain,
% 2.03/2.21 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[901, 17, 3704, 3677, 3700])).
% 2.03/2.21 tff(3722,plain,
% 2.03/2.21 ($false),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[165, 3721, 3720])).
% 2.03/2.21 tff(3723,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.21 tff(3724,plain,
% 2.03/2.21 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3723, 168, 58, 90])).
% 2.03/2.21 tff(3725,plain,
% 2.03/2.21 (b(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[252, 3724])).
% 2.03/2.21 tff(3726,plain,
% 2.03/2.21 (~b(z, s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3633, 102, 66, 168, 363])).
% 2.03/2.21 tff(3727,plain,
% 2.03/2.21 (r(z, s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[88, 3726])).
% 2.03/2.21 tff(3728,plain,
% 2.03/2.21 (~r(s(s(s(s(s(z))))), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3247, 3727, 90, 61])).
% 2.03/2.21 tff(3729,plain,
% 2.03/2.21 (b(s(s(s(s(s(z))))), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[303, 3728])).
% 2.03/2.21 tff(3730,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3731,plain,
% 2.03/2.21 (((~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(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(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)))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3732,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.03/2.21 inference(monotonicity,[status(thm)],[3731])).
% 2.03/2.21 tff(3733,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.03/2.21 inference(transitivity,[status(thm)],[3732, 3730])).
% 2.03/2.21 tff(3734,plain,
% 2.03/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.03/2.21 inference(quant_inst,[status(thm)],[])).
% 2.03/2.21 tff(3735,plain,
% 2.03/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.03/2.21 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 2.03/2.21 tff(3736,plain,
% 2.03/2.21 ($false),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3735, 102, 425, 343, 60, 125])).
% 2.03/2.21 tff(3737,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,[]))).
% 2.03/2.21 tff(3738,plain,
% 2.03/2.21 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3737, 125, 60, 343])).
% 2.03/2.21 tff(3739,plain,
% 2.03/2.21 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[409, 3738])).
% 2.03/2.21 tff(3740,plain,
% 2.03/2.21 (((~![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(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(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(z))))), s(s(z)))) | (~r(s(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(s(z)))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3741,plain,
% 2.03/2.21 (((~r(s(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(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(z))))), s(s(z)))) | (~r(s(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(s(z)))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3742,plain,
% 2.03/2.21 (((~![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(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(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(s(z)))) | (~r(s(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(s(z))))))),
% 2.03/2.21 inference(monotonicity,[status(thm)],[3741])).
% 2.03/2.21 tff(3743,plain,
% 2.03/2.21 (((~![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(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(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(s(z)))) | (~r(s(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(s(z)))))),
% 2.03/2.21 inference(transitivity,[status(thm)],[3742, 3740])).
% 2.03/2.21 tff(3744,plain,
% 2.03/2.21 ((~![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(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(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.03/2.21 inference(quant_inst,[status(thm)],[])).
% 2.03/2.21 tff(3745,plain,
% 2.03/2.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.03/2.21 inference(modus_ponens,[status(thm)],[3744, 3743])).
% 2.03/2.21 tff(3746,plain,
% 2.03/2.21 ($false),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3745, 17, 5, 3, 393, 64, 61])).
% 2.03/2.21 tff(3747,plain,((~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(z))))), 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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.21 tff(3748,plain,
% 2.03/2.21 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3747, 3739, 61, 5, 64])).
% 2.03/2.21 tff(3749,plain,
% 2.03/2.21 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[1711, 3748])).
% 2.03/2.21 tff(3750,plain,
% 2.03/2.21 ($false),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[813, 102, 66, 343, 4, 3749, 60, 125])).
% 2.03/2.21 tff(3751,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.21 tff(3752,plain,
% 2.03/2.21 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3751, 3495, 3729, 4, 66, 61, 5, 64])).
% 2.03/2.21 tff(3753,plain,
% 2.03/2.21 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[165, 3752])).
% 2.03/2.21 tff(3754,plain,
% 2.03/2.21 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3062, 3753, 3727, 90, 64])).
% 2.03/2.21 tff(3755,plain,
% 2.03/2.21 (b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[538, 3754])).
% 2.03/2.21 tff(3756,plain,
% 2.03/2.21 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3305, 3755, 168, 3729, 3495, 363])).
% 2.03/2.21 tff(3757,plain,
% 2.03/2.21 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[1711, 3756])).
% 2.03/2.21 tff(3758,plain,
% 2.03/2.21 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3747, 3757, 61, 5, 64])).
% 2.03/2.21 tff(3759,plain,
% 2.03/2.21 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[409, 3758])).
% 2.03/2.21 tff(3760,plain,
% 2.03/2.21 ($false),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[2551, 102, 3759, 4, 3755, 363])).
% 2.03/2.21 tff(3761,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), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.21 tff(3762,plain,
% 2.03/2.21 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3761, 3725, 3213, 3203, 3677, 168, 90, 3627])).
% 2.03/2.21 tff(3763,plain,
% 2.03/2.21 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[361, 3762])).
% 2.03/2.21 tff(3764,plain,
% 2.03/2.21 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3698, 3763, 168, 3653, 58, 3677, 3639, 3637])).
% 2.03/2.21 tff(3765,plain,
% 2.03/2.21 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[279, 3764])).
% 2.03/2.21 tff(3766,plain,
% 2.03/2.21 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[901, 17, 3704, 3677, 3765])).
% 2.03/2.21 tff(3767,plain,
% 2.03/2.21 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[165, 3766])).
% 2.03/2.21 tff(3768,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(z)))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3769,plain,
% 2.03/2.21 (((~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(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(z)), s(z))) | (~b(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(s(z)))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3770,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(s(z))))))))))),
% 2.03/2.21 inference(monotonicity,[status(thm)],[3769])).
% 2.03/2.21 tff(3771,plain,
% 2.03/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(z)))))))))),
% 2.03/2.21 inference(transitivity,[status(thm)],[3770, 3768])).
% 2.03/2.21 tff(3772,plain,
% 2.03/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, 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(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))))))))),
% 2.03/2.21 inference(quant_inst,[status(thm)],[])).
% 2.03/2.21 tff(3773,plain,
% 2.03/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.03/2.21 inference(modus_ponens,[status(thm)],[3772, 3771])).
% 2.03/2.21 tff(3774,plain,
% 2.03/2.21 ($false),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3773, 102, 168, 3637, 3763, 3653, 3767])).
% 2.03/2.21 tff(3775,plain,((~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.21 tff(3776,plain,
% 2.03/2.21 (~b(s(s(z)), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[3775, 90, 58])).
% 2.03/2.21 tff(3777,plain,
% 2.03/2.21 (r(s(s(z)), s(z))),
% 2.03/2.21 inference(unit_resolution,[status(thm)],[195, 3776])).
% 2.03/2.21 tff(3778,plain,
% 2.03/2.21 (((~![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(z)), 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(s(z))))))))) <=> ((~![X0: $i, X3: $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(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3779,plain,
% 2.03/2.21 (((~r(s(s(s(s(s(z))))), s(z))) | (~r(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)))) <=> ((~r(s(s(z)), 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(s(z))))))))),
% 2.03/2.21 inference(rewrite,[status(thm)],[])).
% 2.03/2.21 tff(3780,plain,
% 2.03/2.21 (((~![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(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(z)), 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(s(z)))))))))),
% 2.03/2.21 inference(monotonicity,[status(thm)],[3779])).
% 2.03/2.21 tff(3781,plain,
% 2.03/2.21 (((~![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(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(z)), 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(s(z))))))))),
% 2.03/2.21 inference(transitivity,[status(thm)],[3780, 3778])).
% 2.03/2.21 tff(3782,plain,
% 2.03/2.21 ((~![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(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))))),
% 2.03/2.21 inference(quant_inst,[status(thm)],[])).
% 2.03/2.21 tff(3783,plain,
% 2.03/2.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.03/2.22 inference(modus_ponens,[status(thm)],[3782, 3781])).
% 2.03/2.22 tff(3784,plain,
% 2.03/2.22 ($false),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3783, 17, 234, 67, 235, 61])).
% 2.03/2.22 tff(3785,plain,((~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(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.22 tff(3786,plain,
% 2.03/2.22 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3785, 67, 3203, 3777])).
% 2.03/2.22 tff(3787,plain,
% 2.03/2.22 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[232, 3786])).
% 2.03/2.22 tff(3788,plain,
% 2.03/2.22 (~r(z, s(z))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3247, 67, 90, 3203])).
% 2.03/2.22 tff(3789,plain,
% 2.03/2.22 (b(z, s(z))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[88, 3788])).
% 2.03/2.22 tff(3790,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))))))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3791,plain,
% 2.03/2.22 (((~b(s(z), z)) | (~b(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(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)))))))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3792,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))))))))),
% 2.03/2.22 inference(monotonicity,[status(thm)],[3791])).
% 2.03/2.22 tff(3793,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))))))))),
% 2.03/2.22 inference(transitivity,[status(thm)],[3792, 3790])).
% 2.03/2.22 tff(3794,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.03/2.22 inference(quant_inst,[status(thm)],[])).
% 2.03/2.22 tff(3795,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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))))))))),
% 2.03/2.22 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 2.03/2.22 tff(3796,plain,
% 2.03/2.22 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3795, 102, 2414, 382, 3213])).
% 2.03/2.22 tff(3797,plain,
% 2.03/2.22 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[165, 3796])).
% 2.03/2.22 tff(3798,plain,
% 2.03/2.22 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[2514, 102, 2414, 382, 3213])).
% 2.03/2.22 tff(3799,plain,
% 2.03/2.22 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[409, 3798])).
% 2.03/2.22 tff(3800,plain,
% 2.03/2.22 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3493, 2414, 3213, 90, 64, 3203])).
% 2.03/2.22 tff(3801,plain,
% 2.03/2.22 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[341, 3800])).
% 2.03/2.22 tff(3802,plain,
% 2.03/2.22 (((~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(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(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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3803,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), 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(s(s(z))))))))))),
% 2.03/2.22 inference(monotonicity,[status(thm)],[3802])).
% 2.03/2.22 tff(3804,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), 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(s(s(z)))))))))),
% 2.03/2.22 inference(transitivity,[status(thm)],[3803, 3015])).
% 2.03/2.22 tff(3805,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.03/2.22 inference(quant_inst,[status(thm)],[])).
% 2.03/2.22 tff(3806,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.03/2.22 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 2.03/2.22 tff(3807,plain,
% 2.03/2.22 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3806, 102, 498, 3801, 197])).
% 2.03/2.22 tff(3808,plain,
% 2.03/2.22 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[279, 3807])).
% 2.03/2.22 tff(3809,plain,
% 2.03/2.22 ($false),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[1441, 3808, 3799, 3777, 3797])).
% 2.03/2.22 tff(3810,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(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.22 tff(3811,plain,
% 2.03/2.22 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3810, 3787, 498, 3789, 90, 58])).
% 2.03/2.22 tff(3812,plain,
% 2.03/2.22 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[361, 3811])).
% 2.03/2.22 tff(3813,plain,
% 2.03/2.22 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[1346, 3812, 498, 3787])).
% 2.03/2.22 tff(3814,plain,
% 2.03/2.22 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[1711, 3813])).
% 2.03/2.22 tff(3815,plain,
% 2.03/2.22 (~r(z, s(s(z)))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3084, 3814, 58, 3777, 67])).
% 2.03/2.22 tff(3816,plain,
% 2.03/2.22 (b(z, s(s(z)))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[122, 3815])).
% 2.03/2.22 tff(3817,plain,
% 2.03/2.22 (~r(s(z), s(s(z)))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3094, 3814, 3777, 67])).
% 2.03/2.22 tff(3818,plain,
% 2.03/2.22 (b(s(z), s(s(z)))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[698, 3817])).
% 2.03/2.22 tff(3819,plain,
% 2.03/2.22 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[1462, 254, 498, 66])).
% 2.03/2.22 tff(3820,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(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)))))))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3821,plain,
% 2.03/2.22 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(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), z)) | (~b(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)))))))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3822,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(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))))))))))),
% 2.03/2.22 inference(monotonicity,[status(thm)],[3821])).
% 2.03/2.22 tff(3823,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(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)))))))))),
% 2.03/2.22 inference(transitivity,[status(thm)],[3822, 3820])).
% 2.03/2.22 tff(3824,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.03/2.22 inference(quant_inst,[status(thm)],[])).
% 2.03/2.22 tff(3825,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(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))))))))),
% 2.03/2.22 inference(modus_ponens,[status(thm)],[3824, 3823])).
% 2.03/2.22 tff(3826,plain,
% 2.03/2.22 (~b(s(z), z)),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3825, 102, 92, 66, 498, 254])).
% 2.03/2.22 tff(3827,plain,
% 2.03/2.22 (r(s(z), z)),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[380, 3826])).
% 2.03/2.22 tff(3828,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3829,plain,
% 2.03/2.22 (((~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(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(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(z))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3830,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))),
% 2.03/2.22 inference(monotonicity,[status(thm)],[3829])).
% 2.03/2.22 tff(3831,plain,
% 2.03/2.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z))))),
% 2.03/2.22 inference(transitivity,[status(thm)],[3830, 3828])).
% 2.03/2.22 tff(3832,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 2.03/2.22 inference(quant_inst,[status(thm)],[])).
% 2.03/2.22 tff(3833,plain,
% 2.03/2.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))),
% 2.03/2.22 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 2.03/2.22 tff(3834,plain,
% 2.03/2.22 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[3833, 102, 92, 498, 254])).
% 2.03/2.22 tff(3835,plain,
% 2.03/2.22 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.22 inference(unit_resolution,[status(thm)],[409, 3834])).
% 2.03/2.22 tff(3836,plain,
% 2.03/2.22 (((~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(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))))),
% 2.03/2.22 inference(rewrite,[status(thm)],[])).
% 2.03/2.22 tff(3837,plain,
% 2.03/2.22 (((~![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(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(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)))))),
% 2.03/2.22 inference(monotonicity,[status(thm)],[3836])).
% 2.03/2.22 tff(3838,plain,
% 2.03/2.22 (((~![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(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(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))))),
% 2.03/2.23 inference(transitivity,[status(thm)],[3837, 1923])).
% 2.03/2.23 tff(3839,plain,
% 2.03/2.23 ((~![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(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))))),
% 2.03/2.23 inference(quant_inst,[status(thm)],[])).
% 2.03/2.23 tff(3840,plain,
% 2.03/2.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.03/2.23 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 2.03/2.23 tff(3841,plain,
% 2.03/2.23 ($false),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3840, 17, 3835, 68, 3827, 63])).
% 2.03/2.23 tff(3842,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.23 tff(3843,plain,
% 2.03/2.23 (~r(z, s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3842, 254, 63, 92, 498, 66])).
% 2.03/2.23 tff(3844,plain,
% 2.03/2.23 (b(z, s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[88, 3843])).
% 2.03/2.23 tff(3845,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3846,plain,
% 2.03/2.23 (((~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(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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3847,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 2.03/2.23 inference(monotonicity,[status(thm)],[3846])).
% 2.03/2.23 tff(3848,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.23 inference(transitivity,[status(thm)],[3847, 3845])).
% 2.03/2.23 tff(3849,plain,
% 2.03/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 2.03/2.23 inference(quant_inst,[status(thm)],[])).
% 2.03/2.23 tff(3850,plain,
% 2.03/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.03/2.23 inference(modus_ponens,[status(thm)],[3849, 3848])).
% 2.03/2.23 tff(3851,plain,
% 2.03/2.23 ($false),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3850, 102, 92, 66, 498, 254, 3844])).
% 2.03/2.23 tff(3852,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.23 tff(3853,plain,
% 2.03/2.23 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3852, 254, 66, 498, 92])).
% 2.03/2.23 tff(3854,plain,
% 2.03/2.23 ($false),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[252, 3853, 3819])).
% 2.03/2.23 tff(3855,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.23 tff(3856,plain,
% 2.03/2.23 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3855, 3818, 498, 3816])).
% 2.03/2.23 tff(3857,plain,
% 2.03/2.23 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[279, 3856])).
% 2.03/2.23 tff(3858,plain,
% 2.03/2.23 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3665, 3857, 498, 58, 3787, 3814, 90])).
% 2.03/2.23 tff(3859,plain,
% 2.03/2.23 (b(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[252, 3858])).
% 2.03/2.23 tff(3860,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3861,plain,
% 2.03/2.23 (((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(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(s(z)))) | (~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(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3862,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.03/2.23 inference(monotonicity,[status(thm)],[3861])).
% 2.03/2.23 tff(3863,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.03/2.23 inference(transitivity,[status(thm)],[3862, 3860])).
% 2.03/2.23 tff(3864,plain,
% 2.03/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.03/2.23 inference(quant_inst,[status(thm)],[])).
% 2.03/2.23 tff(3865,plain,
% 2.03/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.03/2.23 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 2.03/2.23 tff(3866,plain,
% 2.03/2.23 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3865, 102, 3816, 498, 3859, 3789, 3213])).
% 2.03/2.23 tff(3867,plain,
% 2.03/2.23 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[409, 3866])).
% 2.03/2.23 tff(3868,plain,
% 2.03/2.23 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3795, 102, 3859, 3789, 3213])).
% 2.03/2.23 tff(3869,plain,
% 2.03/2.23 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[165, 3868])).
% 2.03/2.23 tff(3870,plain,
% 2.03/2.23 ($false),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[1441, 3869, 3867, 3777, 3857])).
% 2.03/2.23 tff(3871,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.23 tff(3872,plain,
% 2.03/2.23 (~r(s(s(s(s(s(z))))), s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3871, 498, 58, 90])).
% 2.03/2.23 tff(3873,plain,
% 2.03/2.23 (b(s(s(s(s(s(z))))), s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[303, 3872])).
% 2.03/2.23 tff(3874,plain,
% 2.03/2.23 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3665, 197, 498, 58, 63, 62, 90])).
% 2.03/2.23 tff(3875,plain,
% 2.03/2.23 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[1346, 197, 498, 2141])).
% 2.03/2.23 tff(3876,plain,
% 2.03/2.23 ($false),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[1711, 3875, 3874])).
% 2.03/2.23 tff(3877,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~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(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.23 tff(3878,plain,
% 2.03/2.23 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3877, 62, 58, 63, 498, 90])).
% 2.03/2.23 tff(3879,plain,
% 2.03/2.23 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[232, 3878])).
% 2.03/2.23 tff(3880,plain,
% 2.03/2.23 (((~![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(z))) | (~r(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))))))) | (~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(z))) | (~r(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))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3881,plain,
% 2.03/2.23 (((~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(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(z))) | (~r(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))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3882,plain,
% 2.03/2.23 (((~![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(s(z))))))) | (~r(s(s(z)), 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(z))) | (~r(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))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 2.03/2.23 inference(monotonicity,[status(thm)],[3881])).
% 2.03/2.23 tff(3883,plain,
% 2.03/2.23 (((~![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(s(z))))))) | (~r(s(s(z)), 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(z))) | (~r(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))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.23 inference(transitivity,[status(thm)],[3882, 3880])).
% 2.03/2.23 tff(3884,plain,
% 2.03/2.23 ((~![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(s(z))))))) | (~r(s(s(z)), 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)))))))))),
% 2.03/2.23 inference(quant_inst,[status(thm)],[])).
% 2.03/2.23 tff(3885,plain,
% 2.03/2.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.03/2.23 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 2.03/2.23 tff(3886,plain,
% 2.03/2.23 ($false),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3885, 17, 234, 235, 393, 62, 61])).
% 2.03/2.23 tff(3887,plain,((~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(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.23 tff(3888,plain,
% 2.03/2.23 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[3887, 3879, 3203, 3777, 62])).
% 2.03/2.23 tff(3889,plain,
% 2.03/2.23 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.23 inference(unit_resolution,[status(thm)],[409, 3888])).
% 2.03/2.23 tff(3890,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3891,plain,
% 2.03/2.23 (((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(z, 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(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))))))))),
% 2.03/2.23 inference(rewrite,[status(thm)],[])).
% 2.03/2.23 tff(3892,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.03/2.23 inference(monotonicity,[status(thm)],[3891])).
% 2.03/2.23 tff(3893,plain,
% 2.03/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.03/2.24 inference(transitivity,[status(thm)],[3892, 3890])).
% 2.03/2.24 tff(3894,plain,
% 2.03/2.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.03/2.24 inference(quant_inst,[status(thm)],[])).
% 2.03/2.24 tff(3895,plain,
% 2.03/2.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 2.03/2.24 tff(3896,plain,
% 2.03/2.24 ($false),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3895, 102, 425, 66, 498, 343, 364, 363])).
% 2.03/2.24 tff(3897,plain,((~b(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(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.24 tff(3898,plain,
% 2.03/2.24 (~b(z, s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3897, 3889, 498, 3873, 2141, 3213])).
% 2.03/2.24 tff(3899,plain,
% 2.03/2.24 (r(z, s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[122, 3898])).
% 2.03/2.24 tff(3900,plain,
% 2.03/2.24 (((~![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(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3901,plain,
% 2.03/2.24 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z))))) <=> ((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3902,plain,
% 2.03/2.24 (((~![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(s(s(s(z))))))) | (~r(z, s(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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z))))))),
% 2.03/2.24 inference(monotonicity,[status(thm)],[3901])).
% 2.03/2.24 tff(3903,plain,
% 2.03/2.24 (((~![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(s(s(s(z))))))) | (~r(z, s(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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))))),
% 2.03/2.24 inference(transitivity,[status(thm)],[3902, 3900])).
% 2.03/2.24 tff(3904,plain,
% 2.03/2.24 ((~![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(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))))),
% 2.03/2.24 inference(quant_inst,[status(thm)],[])).
% 2.03/2.24 tff(3905,plain,
% 2.03/2.24 ((~![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(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 2.03/2.24 inference(modus_ponens,[status(thm)],[3904, 3903])).
% 2.03/2.24 tff(3906,plain,
% 2.03/2.24 ((~r(z, s(z))) | (~r(z, s(s(z))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3905, 17, 3777, 90, 3203])).
% 2.03/2.24 tff(3907,plain,
% 2.03/2.24 (~r(z, s(z))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3906, 3899])).
% 2.03/2.24 tff(3908,plain,
% 2.03/2.24 (b(z, s(z))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[88, 3907])).
% 2.03/2.24 tff(3909,plain,
% 2.03/2.24 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1720, 3899, 3879, 90])).
% 2.03/2.24 tff(3910,plain,
% 2.03/2.24 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1711, 3909])).
% 2.03/2.24 tff(3911,plain,
% 2.03/2.24 (~r(s(s(z)), z)),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3235, 3910, 90, 58, 63, 3899])).
% 2.03/2.24 tff(3912,plain,
% 2.03/2.24 (b(s(s(z)), z)),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1392, 3911])).
% 2.03/2.24 tff(3913,plain,
% 2.03/2.24 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1256, 102, 498, 3912, 3873, 3910, 3908])).
% 2.03/2.24 tff(3914,plain,
% 2.03/2.24 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[341, 3913])).
% 2.03/2.24 tff(3915,plain,
% 2.03/2.24 (((~![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(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))))))) | (~r(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(z)), 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))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3916,plain,
% 2.03/2.24 (((~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)))) <=> ((~r(s(s(z)), 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))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3917,plain,
% 2.03/2.24 (((~![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(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(z)), 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))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 2.03/2.24 inference(monotonicity,[status(thm)],[3916])).
% 2.03/2.24 tff(3918,plain,
% 2.03/2.24 (((~![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(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(z)), 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))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.03/2.24 inference(transitivity,[status(thm)],[3917, 3915])).
% 2.03/2.24 tff(3919,plain,
% 2.03/2.24 ((~![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(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))))),
% 2.03/2.24 inference(quant_inst,[status(thm)],[])).
% 2.03/2.24 tff(3920,plain,
% 2.03/2.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.03/2.24 inference(modus_ponens,[status(thm)],[3919, 3918])).
% 2.03/2.24 tff(3921,plain,
% 2.03/2.24 ($false),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3920, 17, 3777, 3879, 62, 3914, 3203])).
% 2.03/2.24 tff(3922,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), 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))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.24 tff(3923,plain,
% 2.03/2.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3922, 63, 90, 58, 498])).
% 2.03/2.24 tff(3924,plain,
% 2.03/2.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[279, 3923])).
% 2.03/2.24 tff(3925,plain,
% 2.03/2.24 ($false),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[921, 102, 498, 364, 57, 254])).
% 2.03/2.24 tff(3926,plain,((~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(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.24 tff(3927,plain,
% 2.03/2.24 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3926, 2141, 498, 3924])).
% 2.03/2.24 tff(3928,plain,
% 2.03/2.24 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1711, 3927])).
% 2.03/2.24 tff(3929,plain,
% 2.03/2.24 (~r(z, s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1720, 3, 235, 90])).
% 2.03/2.24 tff(3930,plain,
% 2.03/2.24 (b(z, s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[122, 3929])).
% 2.03/2.24 tff(3931,plain,
% 2.03/2.24 (((~![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(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(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(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3932,plain,
% 2.03/2.24 (((~r(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(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3933,plain,
% 2.03/2.24 (((~![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(s(z), s(s(s(s(s(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(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 2.03/2.24 inference(monotonicity,[status(thm)],[3932])).
% 2.03/2.24 tff(3934,plain,
% 2.03/2.24 (((~![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(s(z), s(s(s(s(s(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(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.03/2.24 inference(transitivity,[status(thm)],[3933, 3931])).
% 2.03/2.24 tff(3935,plain,
% 2.03/2.24 ((~![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(s(z), s(s(s(s(s(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))))))))),
% 2.03/2.24 inference(quant_inst,[status(thm)],[])).
% 2.03/2.24 tff(3936,plain,
% 2.03/2.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 2.03/2.24 tff(3937,plain,
% 2.03/2.24 ($false),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3936, 17, 780, 3, 235, 61])).
% 2.03/2.24 tff(3938,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.24 tff(3939,plain,
% 2.03/2.24 (~r(s(z), s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3938, 3, 61, 235])).
% 2.03/2.24 tff(3940,plain,
% 2.03/2.24 (b(s(z), s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[698, 3939])).
% 2.03/2.24 tff(3941,plain,
% 2.03/2.24 ($false),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3855, 3940, 3930, 498, 254])).
% 2.03/2.24 tff(3942,plain,((~r(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)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.24 tff(3943,plain,
% 2.03/2.24 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3942, 3928, 3924, 3203, 498, 90])).
% 2.03/2.24 tff(3944,plain,
% 2.03/2.24 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[232, 3943])).
% 2.03/2.24 tff(3945,plain,
% 2.03/2.24 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[680, 305, 58, 63])).
% 2.03/2.24 tff(3946,plain,
% 2.03/2.24 (b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[538, 3945])).
% 2.03/2.24 tff(3947,plain,
% 2.03/2.24 (~b(z, s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1983, 3946, 498, 254])).
% 2.03/2.24 tff(3948,plain,
% 2.03/2.24 (r(z, s(s(z)))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[122, 3947])).
% 2.03/2.24 tff(3949,plain,
% 2.03/2.24 (((~![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(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), 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(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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3950,plain,
% 2.03/2.24 (((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), 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(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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3951,plain,
% 2.03/2.24 (((~![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(s(s(s(s(z))))), 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(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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z))))))),
% 2.03/2.24 inference(monotonicity,[status(thm)],[3950])).
% 2.03/2.24 tff(3952,plain,
% 2.03/2.24 (((~![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(s(s(s(s(z))))), 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(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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 2.03/2.24 inference(transitivity,[status(thm)],[3951, 3949])).
% 2.03/2.24 tff(3953,plain,
% 2.03/2.24 ((~![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(s(s(s(s(z))))), 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)))))))))),
% 2.03/2.24 inference(quant_inst,[status(thm)],[])).
% 2.03/2.24 tff(3954,plain,
% 2.03/2.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z))))),
% 2.03/2.24 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 2.03/2.24 tff(3955,plain,
% 2.03/2.24 ($false),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3954, 17, 58, 3, 63, 3948, 305])).
% 2.03/2.24 tff(3956,plain,((~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(z)))) | (~r(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(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.24 tff(3957,plain,
% 2.03/2.24 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3956, 3928, 58, 63, 498, 3924])).
% 2.03/2.24 tff(3958,plain,
% 2.03/2.24 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[341, 3957])).
% 2.03/2.24 tff(3959,plain,
% 2.03/2.24 ($false),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3020, 102, 498, 3924, 3958, 3944])).
% 2.03/2.24 tff(3960,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.24 tff(3961,plain,
% 2.03/2.24 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3960, 498, 58, 90])).
% 2.03/2.24 tff(3962,plain,
% 2.03/2.24 (b(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[252, 3961])).
% 2.03/2.24 tff(3963,plain,
% 2.03/2.24 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[1441, 393, 234, 62])).
% 2.03/2.24 tff(3964,plain,
% 2.03/2.24 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[165, 3963])).
% 2.03/2.24 tff(3965,plain,
% 2.03/2.24 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[3551, 17, 393, 68, 90, 61])).
% 2.03/2.24 tff(3966,plain,
% 2.03/2.24 (b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.24 inference(unit_resolution,[status(thm)],[538, 3965])).
% 2.03/2.24 tff(3967,plain,
% 2.03/2.24 (((~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), 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)))))))))),
% 2.03/2.24 inference(rewrite,[status(thm)],[])).
% 2.03/2.24 tff(3968,plain,
% 2.03/2.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.03/2.24 inference(monotonicity,[status(thm)],[3967])).
% 2.03/2.24 tff(3969,plain,
% 2.03/2.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.03/2.24 inference(transitivity,[status(thm)],[3968, 2991])).
% 2.03/2.24 tff(3970,plain,
% 2.03/2.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.03/2.24 inference(quant_inst,[status(thm)],[])).
% 2.03/2.24 tff(3971,plain,
% 2.03/2.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.03/2.25 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 2.03/2.25 tff(3972,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3971, 102, 4, 3966, 363, 3964])).
% 2.03/2.25 tff(3973,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(3974,plain,
% 2.03/2.25 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3973, 68, 363, 4, 90, 61, 234, 62])).
% 2.03/2.25 tff(3975,plain,
% 2.03/2.25 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[409, 3974])).
% 2.03/2.25 tff(3976,plain,
% 2.03/2.25 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3737, 3975, 3495, 343])).
% 2.03/2.25 tff(3977,plain,
% 2.03/2.25 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[165, 3976])).
% 2.03/2.25 tff(3978,plain,
% 2.03/2.25 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3062, 3977, 68, 90, 64])).
% 2.03/2.25 tff(3979,plain,
% 2.03/2.25 (b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[538, 3978])).
% 2.03/2.25 tff(3980,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3505, 102, 3975, 498, 4, 3979, 363])).
% 2.03/2.25 tff(3981,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(3982,plain,
% 2.03/2.25 (~r(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3981, 62, 3962, 3213, 90, 64, 3873, 3203, 3777, 498])).
% 2.03/2.25 tff(3983,plain,
% 2.03/2.25 (b(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[88, 3982])).
% 2.03/2.25 tff(3984,plain,
% 2.03/2.25 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3810, 3983, 498, 64, 90, 58])).
% 2.03/2.25 tff(3985,plain,
% 2.03/2.25 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[232, 3984])).
% 2.03/2.25 tff(3986,plain,
% 2.03/2.25 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3887, 3985, 3203, 3777, 62])).
% 2.03/2.25 tff(3987,plain,
% 2.03/2.25 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[409, 3986])).
% 2.03/2.25 tff(3988,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2514, 102, 3987, 3962, 3983, 3213])).
% 2.03/2.25 tff(3989,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(3990,plain,
% 2.03/2.25 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3989, 64, 498, 90, 58])).
% 2.03/2.25 tff(3991,plain,
% 2.03/2.25 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[279, 3990])).
% 2.03/2.25 tff(3992,plain,
% 2.03/2.25 (~b(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1462, 3991, 498, 3962])).
% 2.03/2.25 tff(3993,plain,
% 2.03/2.25 (r(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[122, 3992])).
% 2.03/2.25 tff(3994,plain,
% 2.03/2.25 (~r(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3906, 3993])).
% 2.03/2.25 tff(3995,plain,
% 2.03/2.25 (b(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[88, 3994])).
% 2.03/2.25 tff(3996,plain,
% 2.03/2.25 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3493, 64, 3213, 90, 3962, 3203])).
% 2.03/2.25 tff(3997,plain,
% 2.03/2.25 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[341, 3996])).
% 2.03/2.25 tff(3998,plain,
% 2.03/2.25 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2442, 3991, 498, 3997])).
% 2.03/2.25 tff(3999,plain,
% 2.03/2.25 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1711, 3998])).
% 2.03/2.25 tff(4000,plain,
% 2.03/2.25 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1720, 3999, 3993, 90])).
% 2.03/2.25 tff(4001,plain,
% 2.03/2.25 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[232, 4000])).
% 2.03/2.25 tff(4002,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3810, 4001, 3995, 498, 64, 90, 58])).
% 2.03/2.25 tff(4003,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(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4004,plain,
% 2.03/2.25 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4003, 498, 90, 58])).
% 2.03/2.25 tff(4005,plain,
% 2.03/2.25 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[361, 4004])).
% 2.03/2.25 tff(4006,plain,
% 2.03/2.25 (~b(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1462, 254, 498, 3962])).
% 2.03/2.25 tff(4007,plain,
% 2.03/2.25 (r(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[122, 4006])).
% 2.03/2.25 tff(4008,plain,
% 2.03/2.25 (~r(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3906, 4007])).
% 2.03/2.25 tff(4009,plain,
% 2.03/2.25 (b(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[88, 4008])).
% 2.03/2.25 tff(4010,plain,
% 2.03/2.25 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3926, 254, 498, 4005])).
% 2.03/2.25 tff(4011,plain,
% 2.03/2.25 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1711, 4010])).
% 2.03/2.25 tff(4012,plain,
% 2.03/2.25 (~r(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1762, 4007, 4011, 58])).
% 2.03/2.25 tff(4013,plain,
% 2.03/2.25 (b(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1392, 4012])).
% 2.03/2.25 tff(4014,plain,
% 2.03/2.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, 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)))))),
% 2.03/2.25 inference(rewrite,[status(thm)],[])).
% 2.03/2.25 tff(4015,plain,
% 2.03/2.25 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, 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(z), z)) | (~b(z, 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)))))),
% 2.03/2.25 inference(rewrite,[status(thm)],[])).
% 2.03/2.25 tff(4016,plain,
% 2.03/2.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, 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))))))),
% 2.03/2.25 inference(monotonicity,[status(thm)],[4015])).
% 2.03/2.25 tff(4017,plain,
% 2.03/2.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, 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)))))),
% 2.03/2.25 inference(transitivity,[status(thm)],[4016, 4014])).
% 2.03/2.25 tff(4018,plain,
% 2.03/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.25 inference(quant_inst,[status(thm)],[])).
% 2.03/2.25 tff(4019,plain,
% 2.03/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.03/2.25 inference(modus_ponens,[status(thm)],[4018, 4017])).
% 2.03/2.25 tff(4020,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4019, 102, 498, 4013, 3962, 4009, 3213])).
% 2.03/2.25 tff(4021,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4022,plain,
% 2.03/2.25 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4021, 498, 58, 90])).
% 2.03/2.25 tff(4023,plain,
% 2.03/2.25 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[279, 4022])).
% 2.03/2.25 tff(4024,plain,
% 2.03/2.25 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2514, 102, 4, 382, 363])).
% 2.03/2.25 tff(4025,plain,
% 2.03/2.25 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[409, 4024])).
% 2.03/2.25 tff(4026,plain,
% 2.03/2.25 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3795, 102, 4, 382, 363])).
% 2.03/2.25 tff(4027,plain,
% 2.03/2.25 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[165, 4026])).
% 2.03/2.25 tff(4028,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1441, 4027, 4025, 234, 62])).
% 2.03/2.25 tff(4029,plain,((~b(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4030,plain,
% 2.03/2.25 (~b(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4029, 4023, 3777, 3962, 3213])).
% 2.03/2.25 tff(4031,plain,
% 2.03/2.25 (r(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[88, 4030])).
% 2.03/2.25 tff(4032,plain,
% 2.03/2.25 (~r(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3906, 4031])).
% 2.03/2.25 tff(4033,plain,
% 2.03/2.25 (b(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[122, 4032])).
% 2.03/2.25 tff(4034,plain,
% 2.03/2.25 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3973, 4031, 3213, 3962, 90, 3203, 3777, 4023])).
% 2.03/2.25 tff(4035,plain,
% 2.03/2.25 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[409, 4034])).
% 2.03/2.25 tff(4036,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3897, 4035, 4033, 498, 3873, 4005, 3213])).
% 2.03/2.25 tff(4037,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4038,plain,
% 2.03/2.25 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4037, 90, 58])).
% 2.03/2.25 tff(4039,plain,
% 2.03/2.25 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[496, 4038])).
% 2.03/2.25 tff(4040,plain,
% 2.03/2.25 ((s(z) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(z))),
% 2.03/2.25 inference(commutativity,[status(thm)],[])).
% 2.03/2.25 tff(4041,plain,
% 2.03/2.25 ((s(s(s(s(z)))) = s(z)) <=> (s(z) = s(s(s(s(z)))))),
% 2.03/2.25 inference(symmetry,[status(thm)],[4040])).
% 2.03/2.25 tff(4042,plain,
% 2.03/2.25 ((~(s(s(s(s(z)))) = s(z))) <=> (~(s(z) = s(s(s(s(z))))))),
% 2.03/2.25 inference(monotonicity,[status(thm)],[4041])).
% 2.03/2.25 tff(4043,plain,
% 2.03/2.25 (~(s(z) = s(s(s(s(z)))))),
% 2.03/2.25 inference(modus_ponens,[status(thm)],[1568, 4042])).
% 2.03/2.25 tff(4044,plain,
% 2.03/2.25 (~r(s(z), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[856, 393, 3777, 4039])).
% 2.03/2.25 tff(4045,plain,
% 2.03/2.25 (b(s(z), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[698, 4044])).
% 2.03/2.25 tff(4046,plain,
% 2.03/2.25 (~b(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2972, 66, 3213, 92])).
% 2.03/2.25 tff(4047,plain,
% 2.03/2.25 (r(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1392, 4046])).
% 2.03/2.25 tff(4048,plain,
% 2.03/2.25 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[735, 102, 364, 57, 254])).
% 2.03/2.25 tff(4049,plain,
% 2.03/2.25 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[341, 4048])).
% 2.03/2.25 tff(4050,plain,
% 2.03/2.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.03/2.25 inference(rewrite,[status(thm)],[])).
% 2.03/2.25 tff(4051,plain,
% 2.03/2.25 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, 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(z, 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.03/2.25 inference(rewrite,[status(thm)],[])).
% 2.03/2.25 tff(4052,plain,
% 2.03/2.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.03/2.25 inference(monotonicity,[status(thm)],[4051])).
% 2.03/2.25 tff(4053,plain,
% 2.03/2.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.03/2.25 inference(transitivity,[status(thm)],[4052, 4050])).
% 2.03/2.25 tff(4054,plain,
% 2.03/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.03/2.25 inference(quant_inst,[status(thm)],[])).
% 2.03/2.25 tff(4055,plain,
% 2.03/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.03/2.25 inference(modus_ponens,[status(thm)],[4054, 4053])).
% 2.03/2.25 tff(4056,plain,
% 2.03/2.25 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4055, 102, 66, 364, 57, 254])).
% 2.03/2.25 tff(4057,plain,
% 2.03/2.25 (r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[538, 4056])).
% 2.03/2.25 tff(4058,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[680, 4057, 4049, 58, 63])).
% 2.03/2.25 tff(4059,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(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(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4060,plain,
% 2.03/2.25 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4059, 66, 63, 58, 2141, 254])).
% 2.03/2.25 tff(4061,plain,
% 2.03/2.25 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1711, 4060])).
% 2.03/2.25 tff(4062,plain,
% 2.03/2.25 (~r(s(s(s(s(s(z))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3115, 3946, 305, 4061, 63, 58, 3777])).
% 2.03/2.25 tff(4063,plain,
% 2.03/2.25 (~b(s(s(s(s(s(z))))), s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2854, 3946, 254, 382, 66, 90, 58])).
% 2.03/2.25 tff(4064,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[303, 4063, 4062])).
% 2.03/2.25 tff(4065,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4066,plain,
% 2.03/2.25 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4065, 66, 382, 254, 90, 58, 63])).
% 2.03/2.25 tff(4067,plain,
% 2.03/2.25 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[341, 4066])).
% 2.03/2.25 tff(4068,plain,
% 2.03/2.25 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2876, 102, 2141, 254, 4067])).
% 2.03/2.25 tff(4069,plain,
% 2.03/2.25 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[232, 4068])).
% 2.03/2.25 tff(4070,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2277, 17, 58, 4069, 4047, 90])).
% 2.03/2.25 tff(4071,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4072,plain,
% 2.03/2.25 (~b(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4071, 382, 90, 254, 58, 63, 92])).
% 2.03/2.25 tff(4073,plain,
% 2.03/2.25 (r(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[122, 4072])).
% 2.03/2.25 tff(4074,plain,
% 2.03/2.25 (~r(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2482, 4073, 4039, 63])).
% 2.03/2.25 tff(4075,plain,
% 2.03/2.25 (b(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1392, 4074])).
% 2.03/2.25 tff(4076,plain,
% 2.03/2.25 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[418, 4075, 4039, 382, 92, 4073, 254])).
% 2.03/2.25 tff(4077,plain,
% 2.03/2.25 (r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[538, 4076])).
% 2.03/2.25 tff(4078,plain,
% 2.03/2.25 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[566, 4077, 4039, 4073, 90])).
% 2.03/2.25 tff(4079,plain,
% 2.03/2.25 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[232, 4078])).
% 2.03/2.25 tff(4080,plain,
% 2.03/2.25 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1140, 4077, 4039, 4073, 90])).
% 2.03/2.25 tff(4081,plain,
% 2.03/2.25 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[341, 4080])).
% 2.03/2.25 tff(4082,plain,
% 2.03/2.25 ($false),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2876, 102, 2141, 254, 4081, 4079])).
% 2.03/2.25 tff(4083,plain,((~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.25 tff(4084,plain,
% 2.03/2.25 (~b(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[4083, 4045, 90, 254, 63, 58])).
% 2.03/2.25 tff(4085,plain,
% 2.03/2.25 (r(z, s(z))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[88, 4084])).
% 2.03/2.25 tff(4086,plain,
% 2.03/2.25 (~r(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[3906, 4085])).
% 2.03/2.25 tff(4087,plain,
% 2.03/2.25 (b(z, s(s(z)))),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[122, 4086])).
% 2.03/2.25 tff(4088,plain,
% 2.03/2.25 (~b(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[2972, 4087, 3213, 4045])).
% 2.03/2.25 tff(4089,plain,
% 2.03/2.25 (r(s(s(z)), z)),
% 2.03/2.25 inference(unit_resolution,[status(thm)],[1392, 4088])).
% 2.03/2.25 tff(4090,plain,
% 2.03/2.25 (((~![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(z))) | (~r(s(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)))))), s(s(z)))))) <=> ((~![X0: $i, 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(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)))))), s(s(z)))))),
% 2.03/2.25 inference(rewrite,[status(thm)],[])).
% 2.03/2.25 tff(4091,plain,
% 2.03/2.25 (((~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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.26 inference(rewrite,[status(thm)],[])).
% 2.03/2.26 tff(4092,plain,
% 2.03/2.26 (((~![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(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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.03/2.26 inference(monotonicity,[status(thm)],[4091])).
% 2.03/2.26 tff(4093,plain,
% 2.03/2.26 (((~![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(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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.03/2.26 inference(transitivity,[status(thm)],[4092, 4090])).
% 2.03/2.26 tff(4094,plain,
% 2.03/2.26 ((~![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(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)))))),
% 2.03/2.26 inference(quant_inst,[status(thm)],[])).
% 2.03/2.26 tff(4095,plain,
% 2.03/2.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.03/2.26 inference(modus_ponens,[status(thm)],[4094, 4093])).
% 2.03/2.26 tff(4096,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4095, 17, 4039, 393, 4085, 63, 4089])).
% 2.03/2.26 tff(4097,plain,((~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))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4098,plain,
% 2.03/2.26 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4097, 63, 90, 254, 58])).
% 2.03/2.26 tff(4099,plain,
% 2.03/2.26 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[409, 4098])).
% 2.03/2.26 tff(4100,plain,
% 2.03/2.26 ((~r(z, s(z))) | (~r(z, s(s(z))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3905, 17, 234, 90, 61])).
% 2.03/2.26 tff(4101,plain,
% 2.03/2.26 (~r(z, s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4100, 2])).
% 2.03/2.26 tff(4102,plain,
% 2.03/2.26 (b(z, s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[88, 4101])).
% 2.03/2.26 tff(4103,plain,
% 2.03/2.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.03/2.26 inference(rewrite,[status(thm)],[])).
% 2.03/2.26 tff(4104,plain,
% 2.03/2.26 (((~b(z, s(z))) | (~b(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(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.03/2.26 inference(rewrite,[status(thm)],[])).
% 2.03/2.26 tff(4105,plain,
% 2.03/2.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.03/2.26 inference(monotonicity,[status(thm)],[4104])).
% 2.03/2.26 tff(4106,plain,
% 2.03/2.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.03/2.26 inference(transitivity,[status(thm)],[4105, 4103])).
% 2.03/2.26 tff(4107,plain,
% 2.03/2.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.03/2.26 inference(quant_inst,[status(thm)],[])).
% 2.03/2.26 tff(4108,plain,
% 2.03/2.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.03/2.26 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 2.03/2.26 tff(4109,plain,
% 2.03/2.26 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4108, 102, 425, 4102, 363])).
% 2.03/2.26 tff(4110,plain,
% 2.03/2.26 (r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[538, 4109])).
% 2.03/2.26 tff(4111,plain,
% 2.03/2.26 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[566, 4110, 5, 2, 90])).
% 2.03/2.26 tff(4112,plain,
% 2.03/2.26 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[232, 4111])).
% 2.03/2.26 tff(4113,plain,
% 2.03/2.26 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[1140, 4110, 5, 2, 90])).
% 2.03/2.26 tff(4114,plain,
% 2.03/2.26 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[341, 4113])).
% 2.03/2.26 tff(4115,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[2876, 102, 364, 254, 4114, 4112])).
% 2.03/2.26 tff(4116,plain,((~r(z, 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)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), z)) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4117,plain,
% 2.03/2.26 (~r(z, s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4116, 2141, 254, 4039, 90, 4099, 3213, 3777, 3203])).
% 2.03/2.26 tff(4118,plain,
% 2.03/2.26 (b(z, s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[122, 4117])).
% 2.03/2.26 tff(4119,plain,
% 2.03/2.26 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4059, 4118, 63, 58, 2141, 254])).
% 2.03/2.26 tff(4120,plain,
% 2.03/2.26 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[1711, 4119])).
% 2.03/2.26 tff(4121,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[2597, 102, 425, 56, 124, 254, 363])).
% 2.03/2.26 tff(4122,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4123,plain,
% 2.03/2.26 (~b(s(s(z)), z)),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4122, 3946, 425, 254, 363])).
% 2.03/2.26 tff(4124,plain,
% 2.03/2.26 (r(s(s(z)), z)),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[1392, 4123])).
% 2.03/2.26 tff(4125,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3693, 17, 58, 5, 3, 4124, 305])).
% 2.03/2.26 tff(4126,plain,((~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)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(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,[]))).
% 2.03/2.26 tff(4127,plain,
% 2.03/2.26 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4126, 4120, 4039, 58, 4099, 254, 3213, 63])).
% 2.03/2.26 tff(4128,plain,
% 2.03/2.26 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[341, 4127])).
% 2.03/2.26 tff(4129,plain,
% 2.03/2.26 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[2876, 102, 2141, 254, 4128])).
% 2.03/2.26 tff(4130,plain,
% 2.03/2.26 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[232, 4129])).
% 2.03/2.26 tff(4131,plain,
% 2.03/2.26 (~r(s(z), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3938, 4130, 3203, 4120])).
% 2.03/2.26 tff(4132,plain,
% 2.03/2.26 (b(s(z), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[698, 4131])).
% 2.03/2.26 tff(4133,plain,
% 2.03/2.26 (~r(s(z), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3938, 235, 61, 3])).
% 2.03/2.26 tff(4134,plain,
% 2.03/2.26 (b(s(z), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[698, 4133])).
% 2.03/2.26 tff(4135,plain,
% 2.03/2.26 (~r(s(s(z)), z)),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[2293, 235, 58, 234, 68])).
% 2.03/2.26 tff(4136,plain,
% 2.03/2.26 (b(s(s(z)), z)),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[1392, 4135])).
% 2.03/2.26 tff(4137,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[2972, 4136, 4134, 363, 66])).
% 2.03/2.26 tff(4138,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4139,plain,
% 2.03/2.26 (~r(z, s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4138, 4130, 4118, 58, 3777, 3213, 3203, 4120])).
% 2.03/2.26 tff(4140,plain,
% 2.03/2.26 (b(z, s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[88, 4139])).
% 2.03/2.26 tff(4141,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4083, 4140, 4132, 90, 254, 63, 58])).
% 2.03/2.26 tff(4142,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4143,plain,
% 2.03/2.26 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4142, 254, 90, 58])).
% 2.03/2.26 tff(4144,plain,
% 2.03/2.26 (b(s(s(s(s(s(s(z)))))), z)),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[252, 4143])).
% 2.03/2.26 tff(4145,plain,
% 2.03/2.26 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3747, 4025, 61, 5, 64])).
% 2.03/2.26 tff(4146,plain,
% 2.03/2.26 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[1711, 4145])).
% 2.03/2.26 tff(4147,plain,
% 2.03/2.26 (((~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(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(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))))))))),
% 2.03/2.26 inference(rewrite,[status(thm)],[])).
% 2.03/2.26 tff(4148,plain,
% 2.03/2.26 (((~![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(z))) | (~r(s(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(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(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)))))))))),
% 2.03/2.26 inference(monotonicity,[status(thm)],[4147])).
% 2.03/2.26 tff(4149,plain,
% 2.03/2.26 (((~![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(z))) | (~r(s(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(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(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))))))))),
% 2.03/2.26 inference(transitivity,[status(thm)],[4148, 3509])).
% 2.03/2.26 tff(4150,plain,
% 2.03/2.26 ((~![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(z))) | (~r(s(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(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.03/2.26 inference(quant_inst,[status(thm)],[])).
% 2.03/2.26 tff(4151,plain,
% 2.03/2.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 2.03/2.26 tff(4152,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4151, 17, 67, 393, 64, 61])).
% 2.03/2.26 tff(4153,plain,((~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(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4154,plain,
% 2.03/2.26 (~r(s(s(s(s(s(z))))), s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4153, 4025, 64, 61])).
% 2.03/2.26 tff(4155,plain,
% 2.03/2.26 (b(s(s(s(s(s(z))))), s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[303, 4154])).
% 2.03/2.26 tff(4156,plain,
% 2.03/2.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.26 inference(rewrite,[status(thm)],[])).
% 2.03/2.26 tff(4157,plain,
% 2.03/2.26 (((~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(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(z))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), 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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.26 inference(rewrite,[status(thm)],[])).
% 2.03/2.26 tff(4158,plain,
% 2.03/2.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.03/2.26 inference(monotonicity,[status(thm)],[4157])).
% 2.03/2.26 tff(4159,plain,
% 2.03/2.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.26 inference(transitivity,[status(thm)],[4158, 4156])).
% 2.03/2.26 tff(4160,plain,
% 2.03/2.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))),
% 2.03/2.26 inference(quant_inst,[status(thm)],[])).
% 2.03/2.26 tff(4161,plain,
% 2.03/2.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.03/2.26 inference(modus_ponens,[status(thm)],[4160, 4159])).
% 2.03/2.26 tff(4162,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4161, 102, 4155, 4, 4146, 254, 60, 382])).
% 2.03/2.26 tff(4163,plain,((~b(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(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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4164,plain,
% 2.03/2.26 (~b(z, s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4163, 3495, 254, 4, 64, 61, 5, 363])).
% 2.03/2.26 tff(4165,plain,
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% 2.03/2.26 inference(unit_resolution,[status(thm)],[88, 4164])).
% 2.03/2.26 tff(4166,plain,
% 2.03/2.26 (~r(s(s(s(s(s(z))))), s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3247, 4165, 90, 61])).
% 2.03/2.26 tff(4167,plain,
% 2.03/2.26 (b(s(s(s(s(s(z))))), s(z))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[303, 4166])).
% 2.03/2.26 tff(4168,plain,
% 2.03/2.26 (~r(z, s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4100, 4165])).
% 2.03/2.26 tff(4169,plain,
% 2.03/2.26 (b(z, s(s(z)))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[122, 4168])).
% 2.03/2.26 tff(4170,plain,
% 2.03/2.26 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3751, 4169, 5, 4, 64, 61, 3495, 4167])).
% 2.03/2.26 tff(4171,plain,
% 2.03/2.26 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[165, 4170])).
% 2.03/2.26 tff(4172,plain,
% 2.03/2.26 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[2034, 4169, 4, 254])).
% 2.03/2.26 tff(4173,plain,
% 2.03/2.26 (r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[538, 4172])).
% 2.03/2.26 tff(4174,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3062, 4173, 4171, 4165, 90, 64])).
% 2.03/2.26 tff(4175,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4176,plain,
% 2.03/2.26 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4175, 4144, 90, 254, 4039, 3203, 3777, 3213])).
% 2.03/2.26 tff(4177,plain,
% 2.03/2.26 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[361, 4176])).
% 2.03/2.26 tff(4178,plain,
% 2.03/2.26 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[566, 1, 5, 2, 90])).
% 2.03/2.26 tff(4179,plain,
% 2.03/2.26 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[232, 4178])).
% 2.03/2.26 tff(4180,plain,
% 2.03/2.26 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[1140, 1, 5, 2, 90])).
% 2.03/2.26 tff(4181,plain,
% 2.03/2.26 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[341, 4180])).
% 2.03/2.26 tff(4182,plain,
% 2.03/2.26 ($false),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[3192, 102, 364, 254, 4181, 4179])).
% 2.03/2.26 tff(4183,plain,((~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(z)), s(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(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.26 tff(4184,plain,
% 2.03/2.26 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[4183, 2, 254, 4039, 4177, 90])).
% 2.03/2.26 tff(4185,plain,
% 2.03/2.26 (b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[538, 4184])).
% 2.03/2.26 tff(4186,plain,
% 2.03/2.26 (~b(s(s(z)), z)),
% 2.03/2.26 inference(unit_resolution,[status(thm)],[262, 4185, 4144, 254])).
% 2.03/2.27 tff(4187,plain,
% 2.03/2.27 (r(s(s(z)), z)),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[1392, 4186])).
% 2.03/2.27 tff(4188,plain,
% 2.03/2.27 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[1762, 4187, 2, 58])).
% 2.03/2.27 tff(4189,plain,
% 2.03/2.27 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[1711, 4188])).
% 2.03/2.27 tff(4190,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4191,plain,
% 2.03/2.27 (((~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(s(z))))), 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(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(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4192,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(X0, 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(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)))))))))),
% 2.03/2.27 inference(monotonicity,[status(thm)],[4191])).
% 2.03/2.27 tff(4193,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(X0, 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(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))))))))),
% 2.03/2.27 inference(transitivity,[status(thm)],[4192, 4190])).
% 2.03/2.27 tff(4194,plain,
% 2.03/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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)))))))))),
% 2.03/2.27 inference(quant_inst,[status(thm)],[])).
% 2.03/2.27 tff(4195,plain,
% 2.03/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.03/2.27 inference(modus_ponens,[status(thm)],[4194, 4193])).
% 2.03/2.27 tff(4196,plain,
% 2.03/2.27 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4195, 102, 4177, 4189, 254])).
% 2.03/2.27 tff(4197,plain,
% 2.03/2.27 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[232, 4196])).
% 2.03/2.27 tff(4198,plain,
% 2.03/2.27 ($false),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[2277, 17, 58, 4197, 4187, 90])).
% 2.03/2.27 tff(4199,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.27 tff(4200,plain,
% 2.03/2.27 (~r(z, s(s(z)))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4199, 254, 90, 58])).
% 2.03/2.27 tff(4201,plain,
% 2.03/2.27 (b(z, s(s(z)))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[122, 4200])).
% 2.03/2.27 tff(4202,plain,
% 2.03/2.27 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[2034, 4201, 4144, 254])).
% 2.03/2.27 tff(4203,plain,
% 2.03/2.27 (r(z, s(s(s(s(s(s(z)))))))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[538, 4202])).
% 2.03/2.27 tff(4204,plain,
% 2.03/2.27 (~b(s(z), s(s(z)))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[2946, 4201, 3213, 254, 4144])).
% 2.03/2.27 tff(4205,plain,
% 2.03/2.27 (r(s(z), s(s(z)))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[698, 4204])).
% 2.03/2.27 tff(4206,plain,
% 2.03/2.27 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[856, 4205, 3777, 4039])).
% 2.03/2.27 tff(4207,plain,
% 2.03/2.27 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[409, 4206])).
% 2.03/2.27 tff(4208,plain,
% 2.03/2.27 ($false),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[1007, 102, 425, 4, 382, 363])).
% 2.03/2.27 tff(4209,plain,((~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), z))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.27 tff(4210,plain,
% 2.03/2.27 (~b(z, s(z))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4209, 4207, 4144, 3213])).
% 2.03/2.27 tff(4211,plain,
% 2.03/2.27 (r(z, s(z))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[88, 4210])).
% 2.03/2.27 tff(4212,plain,
% 2.03/2.27 (((~![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(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(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(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(s(z), s(s(s(s(s(z))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4213,plain,
% 2.03/2.27 (((~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(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(s(z), s(s(s(s(s(z))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4214,plain,
% 2.03/2.27 (((~![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(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))))) <=> ((~![X0: $i, 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(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(z), s(s(s(s(s(z)))))))))),
% 2.03/2.27 inference(monotonicity,[status(thm)],[4213])).
% 2.03/2.27 tff(4215,plain,
% 2.03/2.27 (((~![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(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))))) <=> ((~![X0: $i, 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(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(z), s(s(s(s(s(z))))))))),
% 2.03/2.27 inference(transitivity,[status(thm)],[4214, 4212])).
% 2.03/2.27 tff(4216,plain,
% 2.03/2.27 ((~![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(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))))),
% 2.03/2.27 inference(quant_inst,[status(thm)],[])).
% 2.03/2.27 tff(4217,plain,
% 2.03/2.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.03/2.27 inference(modus_ponens,[status(thm)],[4216, 4215])).
% 2.03/2.27 tff(4218,plain,
% 2.03/2.27 ($false),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4217, 17, 68, 1, 90, 305, 61])).
% 2.03/2.27 tff(4219,plain,((~r(s(s(s(s(s(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(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.27 tff(4220,plain,
% 2.03/2.27 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4219, 4211, 4203, 90, 3203])).
% 2.03/2.27 tff(4221,plain,
% 2.03/2.27 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[341, 4220])).
% 2.03/2.27 tff(4222,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4223,plain,
% 2.03/2.27 (((~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(z, 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(z, 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(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4224,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, 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(X0, 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(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))))))))))),
% 2.03/2.27 inference(monotonicity,[status(thm)],[4223])).
% 2.03/2.27 tff(4225,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, 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(X0, 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(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)))))))))),
% 2.03/2.27 inference(transitivity,[status(thm)],[4224, 4222])).
% 2.03/2.27 tff(4226,plain,
% 2.03/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, 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)))))))))),
% 2.03/2.27 inference(quant_inst,[status(thm)],[])).
% 2.03/2.27 tff(4227,plain,
% 2.03/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.03/2.27 inference(modus_ponens,[status(thm)],[4226, 4225])).
% 2.03/2.27 tff(4228,plain,
% 2.03/2.27 (~b(s(s(s(s(z)))), z)),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4227, 102, 66, 4, 254, 3366])).
% 2.03/2.27 tff(4229,plain,
% 2.03/2.27 (r(s(s(s(s(z)))), z)),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[2083, 4228])).
% 2.03/2.27 tff(4230,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4231,plain,
% 2.03/2.27 (((~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(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(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(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.27 inference(rewrite,[status(thm)],[])).
% 2.03/2.27 tff(4232,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.03/2.27 inference(monotonicity,[status(thm)],[4231])).
% 2.03/2.27 tff(4233,plain,
% 2.03/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.03/2.27 inference(transitivity,[status(thm)],[4232, 4230])).
% 2.03/2.27 tff(4234,plain,
% 2.03/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.03/2.27 inference(quant_inst,[status(thm)],[])).
% 2.03/2.27 tff(4235,plain,
% 2.03/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.03/2.27 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 2.03/2.27 tff(4236,plain,
% 2.03/2.27 ($false),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4235, 102, 66, 4, 254, 3366, 1588])).
% 2.03/2.27 tff(4237,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, 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(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.27 tff(4238,plain,
% 2.03/2.27 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.03/2.27 inference(unit_resolution,[status(thm)],[4237, 3366, 4, 254, 66])).
% 2.03/2.27 tff(4239,plain,
% 2.03/2.27 (r(s(s(s(s(z)))), s(s(z)))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[2048, 4238])).
% 2.03/2.28 tff(4240,plain,
% 2.03/2.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4241,plain,
% 2.03/2.28 (((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), 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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))) <=> ((~b(z, 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(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4242,plain,
% 2.03/2.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(s(s(s(s(z))))), s(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(X0, 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(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(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.03/2.28 inference(monotonicity,[status(thm)],[4241])).
% 2.03/2.28 tff(4243,plain,
% 2.03/2.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(s(s(s(s(z))))), s(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(X0, 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(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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.28 inference(transitivity,[status(thm)],[4242, 4240])).
% 2.03/2.28 tff(4244,plain,
% 2.03/2.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.03/2.28 inference(quant_inst,[status(thm)],[])).
% 2.03/2.28 tff(4245,plain,
% 2.03/2.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.03/2.28 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 2.03/2.28 tff(4246,plain,
% 2.03/2.28 ($false),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4245, 102, 66, 4, 57, 254, 60])).
% 2.03/2.28 tff(4247,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, 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(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.28 tff(4248,plain,
% 2.03/2.28 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4247, 60, 4, 254, 66])).
% 2.03/2.28 tff(4249,plain,
% 2.03/2.28 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[1711, 4248])).
% 2.03/2.28 tff(4250,plain,
% 2.03/2.28 (((~![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(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), 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(s(z))))), 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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4251,plain,
% 2.03/2.28 (((~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(s(s(s(s(s(z))))), 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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4252,plain,
% 2.03/2.28 (((~![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(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(s(s(s(s(s(z))))), 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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.03/2.28 inference(monotonicity,[status(thm)],[4251])).
% 2.03/2.28 tff(4253,plain,
% 2.03/2.28 (((~![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(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(s(s(s(s(s(z))))), 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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.03/2.28 inference(transitivity,[status(thm)],[4252, 4250])).
% 2.03/2.28 tff(4254,plain,
% 2.03/2.28 ((~![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(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)))),
% 2.03/2.28 inference(quant_inst,[status(thm)],[])).
% 2.03/2.28 tff(4255,plain,
% 2.03/2.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.03/2.28 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 2.03/2.28 tff(4256,plain,
% 2.03/2.28 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4255, 17, 4249, 90, 4239])).
% 2.03/2.28 tff(4257,plain,
% 2.03/2.28 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4256, 4229])).
% 2.03/2.28 tff(4258,plain,
% 2.03/2.28 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[3602, 3366, 60, 364])).
% 2.03/2.28 tff(4259,plain,
% 2.03/2.28 ($false),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 4258, 4257])).
% 2.03/2.28 tff(4260,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, 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(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.28 tff(4261,plain,
% 2.03/2.28 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4260, 4201, 90, 4144, 254, 4221, 4177])).
% 2.03/2.28 tff(4262,plain,
% 2.03/2.28 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[2072, 4261])).
% 2.03/2.28 tff(4263,plain,
% 2.03/2.28 (~r(s(s(s(s(s(z))))), s(z))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[3247, 4211, 90, 3203])).
% 2.03/2.28 tff(4264,plain,
% 2.03/2.28 (b(s(s(s(s(s(z))))), s(z))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[303, 4263])).
% 2.03/2.28 tff(4265,plain,
% 2.03/2.28 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[3737, 4221, 4207, 4264])).
% 2.03/2.28 tff(4266,plain,
% 2.03/2.28 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[165, 4265])).
% 2.03/2.28 tff(4267,plain,
% 2.03/2.28 (((~![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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4268,plain,
% 2.03/2.28 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), 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)))) | (~r(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(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4269,plain,
% 2.03/2.28 (((~![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(z)))) | (~r(s(z), 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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.03/2.28 inference(monotonicity,[status(thm)],[4268])).
% 2.03/2.28 tff(4270,plain,
% 2.03/2.28 (((~![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(z)))) | (~r(s(z), 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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.03/2.28 inference(transitivity,[status(thm)],[4269, 4267])).
% 2.03/2.28 tff(4271,plain,
% 2.03/2.28 ((~![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(z)))) | (~r(s(z), 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)))))))),
% 2.03/2.28 inference(quant_inst,[status(thm)],[])).
% 2.03/2.28 tff(4272,plain,
% 2.03/2.28 ((~![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(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z))))))),
% 2.03/2.28 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 2.03/2.28 tff(4273,plain,
% 2.03/2.28 (~r(s(z), s(s(s(s(z)))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4272, 17, 4205, 4039, 4266, 4262])).
% 2.03/2.28 tff(4274,plain,
% 2.03/2.28 (((~![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))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4275,plain,
% 2.03/2.28 ((~![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))))))),
% 2.03/2.28 inference(quant_inst,[status(thm)],[])).
% 2.03/2.28 tff(4276,plain,
% 2.03/2.28 ((~![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)))))),
% 2.03/2.28 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 2.03/2.28 tff(4277,plain,
% 2.03/2.28 ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z)))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4276, 49, 4273])).
% 2.03/2.28 tff(4278,plain,
% 2.03/2.28 (b(s(z), s(s(s(s(z)))))),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4277, 4043])).
% 2.03/2.28 tff(4279,assumption,(b(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.03/2.28 tff(4280,plain,
% 2.03/2.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4281,plain,
% 2.03/2.28 (((~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(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)))))), 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(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.03/2.28 inference(rewrite,[status(thm)],[])).
% 2.03/2.28 tff(4282,plain,
% 2.03/2.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 2.03/2.28 inference(monotonicity,[status(thm)],[4281])).
% 2.03/2.28 tff(4283,plain,
% 2.03/2.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.03/2.28 inference(transitivity,[status(thm)],[4282, 4280])).
% 2.03/2.28 tff(4284,plain,
% 2.03/2.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.03/2.28 inference(quant_inst,[status(thm)],[])).
% 2.03/2.28 tff(4285,plain,
% 2.03/2.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 2.03/2.28 inference(modus_ponens,[status(thm)],[4284, 4283])).
% 2.03/2.28 tff(4286,plain,
% 2.03/2.28 ($false),
% 2.03/2.28 inference(unit_resolution,[status(thm)],[4285, 102, 425, 343, 4, 364, 3410, 4279])).
% 2.03/2.28 tff(4287,plain,((~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(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))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.29 tff(4288,plain,
% 2.03/2.29 (~b(s(s(s(s(z)))), z)),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4287, 4207, 4264, 4144, 4177, 4278])).
% 2.03/2.29 tff(4289,plain,
% 2.03/2.29 (r(s(s(s(s(z)))), z)),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[2083, 4288])).
% 2.03/2.29 tff(4290,plain,
% 2.03/2.29 (~b(s(s(z)), z)),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[707, 4201, 4144, 254])).
% 2.03/2.29 tff(4291,plain,
% 2.03/2.29 (r(s(s(z)), z)),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[1392, 4290])).
% 2.03/2.29 tff(4292,plain,
% 2.03/2.29 (((~![X0: $i, X3: $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)))), 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(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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4293,plain,
% 2.03/2.29 (((~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)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4294,plain,
% 2.03/2.29 (((~![X0: $i, X3: $i, X2: $i, 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)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.03/2.29 inference(monotonicity,[status(thm)],[4293])).
% 2.03/2.29 tff(4295,plain,
% 2.03/2.29 (((~![X0: $i, X3: $i, X2: $i, 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)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.29 inference(transitivity,[status(thm)],[4294, 4292])).
% 2.03/2.29 tff(4296,plain,
% 2.03/2.29 ((~![X0: $i, X3: $i, X2: $i, 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)))))),
% 2.03/2.29 inference(quant_inst,[status(thm)],[])).
% 2.03/2.29 tff(4297,plain,
% 2.03/2.29 ((~![X0: $i, X3: $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)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.03/2.29 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 2.03/2.29 tff(4298,plain,
% 2.03/2.29 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4297, 17, 4291, 4203, 4262])).
% 2.03/2.29 tff(4299,plain,
% 2.03/2.29 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4298, 4289])).
% 2.03/2.29 tff(4300,plain,
% 2.03/2.29 (b(s(s(s(s(z)))), s(s(z)))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[2048, 4299])).
% 2.03/2.29 tff(4301,plain,
% 2.03/2.29 (((~![X0: $i, X3: $i, X2: $i, 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(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(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(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(s(s(s(s(s(z)))))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4302,plain,
% 2.03/2.29 (((~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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4303,plain,
% 2.03/2.29 (((~![X0: $i, X3: $i, X2: $i, 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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.03/2.29 inference(monotonicity,[status(thm)],[4302])).
% 2.03/2.29 tff(4304,plain,
% 2.03/2.29 (((~![X0: $i, X3: $i, X2: $i, 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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.03/2.29 inference(transitivity,[status(thm)],[4303, 4301])).
% 2.03/2.29 tff(4305,plain,
% 2.03/2.29 ((~![X0: $i, X3: $i, X2: $i, 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))))))))),
% 2.03/2.29 inference(quant_inst,[status(thm)],[])).
% 2.03/2.29 tff(4306,plain,
% 2.03/2.29 ((~![X0: $i, X3: $i, X2: $i, 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(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(s(s(s(s(s(z))))))))),
% 2.03/2.29 inference(modus_ponens,[status(thm)],[4305, 4304])).
% 2.03/2.29 tff(4307,plain,
% 2.03/2.29 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4306, 17, 58, 4203, 4262])).
% 2.03/2.29 tff(4308,plain,
% 2.03/2.29 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4307, 4289])).
% 2.03/2.29 tff(4309,plain,
% 2.03/2.29 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 4308])).
% 2.03/2.29 tff(4310,plain,
% 2.03/2.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(s(s(s(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(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4311,plain,
% 2.03/2.29 (((~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(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(z))))), 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(z)))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4312,plain,
% 2.03/2.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z))))))))),
% 2.03/2.29 inference(monotonicity,[status(thm)],[4311])).
% 2.03/2.29 tff(4313,plain,
% 2.03/2.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.03/2.29 inference(transitivity,[status(thm)],[4312, 4310])).
% 2.03/2.29 tff(4314,plain,
% 2.03/2.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 2.03/2.29 inference(quant_inst,[status(thm)],[])).
% 2.03/2.29 tff(4315,plain,
% 2.03/2.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z))))))),
% 2.03/2.29 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 2.03/2.29 tff(4316,plain,
% 2.03/2.29 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4315, 102, 4264, 4309, 4278])).
% 2.03/2.29 tff(4317,plain,
% 2.03/2.29 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[2114, 4316])).
% 2.03/2.29 tff(4318,assumption,(r(s(s(s(s(s(z))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.03/2.29 tff(4319,plain,
% 2.03/2.29 (((~![X0: $i, 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(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(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(z))) | (~r(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(z, s(s(s(s(z)))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4320,plain,
% 2.03/2.29 (((~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(z))) | (~r(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(z, s(s(s(s(z)))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4321,plain,
% 2.03/2.29 (((~![X0: $i, X3: $i, X2: $i, X1: $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(z))) | (~r(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(z, s(s(s(s(z))))))))),
% 2.03/2.29 inference(monotonicity,[status(thm)],[4320])).
% 2.03/2.29 tff(4322,plain,
% 2.03/2.29 (((~![X0: $i, X3: $i, X2: $i, X1: $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(z))) | (~r(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(z, s(s(s(s(z)))))))),
% 2.03/2.29 inference(transitivity,[status(thm)],[4321, 4319])).
% 2.03/2.29 tff(4323,plain,
% 2.03/2.29 ((~![X0: $i, X3: $i, X2: $i, X1: $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))))),
% 2.03/2.29 inference(quant_inst,[status(thm)],[])).
% 2.03/2.29 tff(4324,plain,
% 2.03/2.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.03/2.29 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 2.03/2.29 tff(4325,plain,
% 2.03/2.29 ($false),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4324, 17, 68, 90, 4318, 7, 61])).
% 2.03/2.29 tff(4326,plain,((~r(z, 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(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.03/2.29 tff(4327,plain,
% 2.03/2.29 (~r(z, s(s(s(s(z)))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[4326, 4317, 90, 4211, 3203])).
% 2.03/2.29 tff(4328,plain,
% 2.03/2.29 (b(z, s(s(s(s(z)))))),
% 2.03/2.29 inference(unit_resolution,[status(thm)],[54, 4327])).
% 2.03/2.29 tff(4329,plain,
% 2.03/2.29 (((~![X0: $i, X3: $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(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4330,plain,
% 2.03/2.29 (((~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(z))))))) <=> ((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.03/2.29 inference(rewrite,[status(thm)],[])).
% 2.03/2.29 tff(4331,plain,
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% 2.03/2.29 inference(monotonicity,[status(thm)],[4330])).
% 2.03/2.29 tff(4332,plain,
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% 2.03/2.29 inference(transitivity,[status(thm)],[4331, 4329])).
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% 2.03/2.29 inference(quant_inst,[status(thm)],[])).
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% 2.03/2.30 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 2.03/2.30 tff(4335,plain,
% 2.03/2.30 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.03/2.30 inference(unit_resolution,[status(thm)],[4334, 17, 3777, 4211, 4291, 4289])).
% 2.03/2.30 tff(4336,plain,
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% 2.03/2.30 inference(unit_resolution,[status(thm)],[3456, 4335, 3443])).
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% 2.03/2.30 inference(rewrite,[status(thm)],[])).
% 2.03/2.30 tff(4338,plain,
% 2.03/2.30 (((~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(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(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.03/2.30 inference(rewrite,[status(thm)],[])).
% 2.03/2.30 tff(4339,plain,
% 2.03/2.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.03/2.30 inference(monotonicity,[status(thm)],[4338])).
% 2.03/2.30 tff(4340,plain,
% 2.03/2.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.03/2.30 inference(transitivity,[status(thm)],[4339, 4337])).
% 2.03/2.30 tff(4341,plain,
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% 2.03/2.30 inference(quant_inst,[status(thm)],[])).
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% 2.03/2.30 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 2.03/2.30 tff(4343,plain,
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% 2.03/2.30 inference(unit_resolution,[status(thm)],[4342, 102, 4201, 4336, 4328, 4300])).
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% 2.03/2.30 tff(4345,plain,
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% 2.03/2.30 inference(unit_resolution,[status(thm)],[4344, 90, 58])).
% 2.03/2.30 tff(4346,plain,
% 2.03/2.30 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.03/2.30 inference(unit_resolution,[status(thm)],[279, 4345])).
% 2.03/2.30 tff(4347,plain,
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% 2.03/2.30 inference(unit_resolution,[status(thm)],[2713, 1, 4346, 63])).
% 2.03/2.30 tff(4348,plain,
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% 2.03/2.30 inference(unit_resolution,[status(thm)],[1392, 4347])).
% 2.13/2.30 tff(4349,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[1040, 2, 5, 62])).
% 2.13/2.30 tff(4350,plain,
% 2.13/2.30 (b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[538, 4349])).
% 2.13/2.30 tff(4351,plain,
% 2.13/2.30 (~r(s(s(z)), z)),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[2482, 2, 5, 63])).
% 2.13/2.30 tff(4352,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[1392, 4351])).
% 2.13/2.30 tff(4353,plain,
% 2.13/2.30 ($false),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[388, 102, 92, 56, 382, 363])).
% 2.13/2.30 tff(4354,plain,((~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.30 tff(4355,plain,
% 2.13/2.30 (~b(s(z), s(s(z)))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4354, 4352, 4102, 363])).
% 2.13/2.30 tff(4356,plain,
% 2.13/2.30 (r(s(z), s(s(z)))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[698, 4355])).
% 2.13/2.30 tff(4357,plain,
% 2.13/2.30 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[856, 4356, 234, 5])).
% 2.13/2.30 tff(4358,plain,
% 2.13/2.30 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[409, 4357])).
% 2.13/2.30 tff(4359,plain,
% 2.13/2.30 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[433, 4358, 4102, 4350])).
% 2.13/2.30 tff(4360,plain,
% 2.13/2.30 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[165, 4359])).
% 2.13/2.30 tff(4361,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[901, 17, 4356, 5, 62, 4360])).
% 2.13/2.30 tff(4362,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~b(s(z), 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(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.30 tff(4363,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[4362, 63, 4346, 3777, 3213, 4039, 90, 3203])).
% 2.13/2.30 tff(4364,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[122, 4363])).
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[2972, 4348, 3213, 4364])).
% 2.13/2.30 tff(4366,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[698, 4365])).
% 2.13/2.30 tff(4367,plain,
% 2.13/2.30 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[856, 4366, 3777, 4039])).
% 2.13/2.30 tff(4368,plain,
% 2.13/2.30 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[409, 4367])).
% 2.13/2.30 tff(4369,plain,
% 2.13/2.30 (~r(s(z), s(s(s(s(s(s(z)))))))),
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% 2.13/2.30 tff(4370,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[165, 4369])).
% 2.13/2.30 tff(4371,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[4362, 63, 62, 234, 363, 5, 90, 61])).
% 2.13/2.30 tff(4372,plain,
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% 2.13/2.30 tff(4378,plain,
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% 2.13/2.30 inference(unit_resolution,[status(thm)],[165, 4377])).
% 2.13/2.30 tff(4379,plain,
% 2.13/2.30 (~r(s(s(s(s(s(z))))), s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[3247, 68, 90, 61])).
% 2.13/2.30 tff(4380,plain,
% 2.13/2.30 (b(s(s(s(s(s(z))))), s(z))),
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% 2.13/2.30 (((~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(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(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(z), s(s(s(s(s(s(z)))))))))),
% 2.13/2.30 inference(rewrite,[status(thm)],[])).
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% 2.13/2.30 inference(monotonicity,[status(thm)],[4382])).
% 2.13/2.30 tff(4384,plain,
% 2.13/2.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.13/2.30 inference(transitivity,[status(thm)],[4383, 4381])).
% 2.13/2.30 tff(4385,plain,
% 2.13/2.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.13/2.30 inference(quant_inst,[status(thm)],[])).
% 2.13/2.30 tff(4386,plain,
% 2.13/2.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.13/2.30 inference(modus_ponens,[status(thm)],[4385, 4384])).
% 2.13/2.30 tff(4387,plain,
% 2.13/2.30 ($false),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4386, 102, 425, 4380, 364, 4378])).
% 2.13/2.30 tff(4388,plain,((~r(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))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(s(s(z)), 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(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.30 tff(4389,plain,
% 2.13/2.30 (~r(z, s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4388, 4368, 2141, 4039, 4346, 3213, 3777, 63, 90, 3203])).
% 2.13/2.30 tff(4390,plain,
% 2.13/2.30 (b(z, s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[88, 4389])).
% 2.13/2.30 tff(4391,plain,
% 2.13/2.30 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[1601, 1589, 66, 56])).
% 2.13/2.30 tff(4392,plain,
% 2.13/2.30 (r(s(s(s(s(z)))), s(s(z)))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[2048, 4391])).
% 2.13/2.30 tff(4393,plain,
% 2.13/2.30 (b(s(s(s(s(z)))), z)),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[2083, 1589])).
% 2.13/2.30 tff(4394,plain,
% 2.13/2.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.30 inference(rewrite,[status(thm)],[])).
% 2.13/2.30 tff(4395,plain,
% 2.13/2.30 (((~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(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(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(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.30 inference(rewrite,[status(thm)],[])).
% 2.13/2.30 tff(4396,plain,
% 2.13/2.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.13/2.30 inference(monotonicity,[status(thm)],[4395])).
% 2.13/2.30 tff(4397,plain,
% 2.13/2.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.30 inference(transitivity,[status(thm)],[4396, 4394])).
% 2.13/2.30 tff(4398,plain,
% 2.13/2.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 2.13/2.30 inference(quant_inst,[status(thm)],[])).
% 2.13/2.30 tff(4399,plain,
% 2.13/2.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 2.13/2.30 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 2.13/2.30 tff(4400,plain,
% 2.13/2.30 ($false),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4399, 102, 425, 2300, 382, 125, 3410])).
% 2.13/2.30 tff(4401,plain,((~b(s(s(s(s(z)))), s(z))) | (~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(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.30 tff(4402,plain,
% 2.13/2.30 (~b(s(s(s(s(z)))), s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4401, 4393, 382, 125, 425])).
% 2.13/2.30 tff(4403,plain,
% 2.13/2.30 (r(s(s(s(s(z)))), s(z))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[1573, 4402])).
% 2.13/2.30 tff(4404,plain,
% 2.13/2.30 ($false),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[2371, 17, 780, 234, 4403, 4392])).
% 2.13/2.30 tff(4405,plain,(r(s(s(s(s(z)))), z) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~b(z, 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(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.30 tff(4406,plain,
% 2.13/2.30 (r(s(s(s(s(z)))), z)),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4405, 4366, 3777, 4390, 4370, 4368, 4364, 4348])).
% 2.13/2.30 tff(4407,plain,
% 2.13/2.30 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[1543, 17, 58, 90, 4406])).
% 2.13/2.30 tff(4408,plain,
% 2.13/2.30 (((~![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(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(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)))))))))),
% 2.13/2.30 inference(rewrite,[status(thm)],[])).
% 2.13/2.30 tff(4409,plain,
% 2.13/2.30 (((~r(s(s(s(s(s(s(z)))))), 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(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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.13/2.30 inference(rewrite,[status(thm)],[])).
% 2.13/2.30 tff(4410,plain,
% 2.13/2.30 (((~![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)))))), 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(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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.13/2.30 inference(monotonicity,[status(thm)],[4409])).
% 2.13/2.30 tff(4411,plain,
% 2.13/2.30 (((~![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)))))), 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(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(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.13/2.30 inference(transitivity,[status(thm)],[4410, 4408])).
% 2.13/2.30 tff(4412,plain,
% 2.13/2.30 ((~![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)))))), 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(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.13/2.30 inference(quant_inst,[status(thm)],[])).
% 2.13/2.30 tff(4413,plain,
% 2.13/2.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.13/2.30 inference(modus_ponens,[status(thm)],[4412, 4411])).
% 2.13/2.30 tff(4414,plain,
% 2.13/2.30 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4413, 17, 63, 1, 4406])).
% 2.13/2.30 tff(4415,plain,
% 2.13/2.30 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[2072, 4414])).
% 2.13/2.30 tff(4416,plain,
% 2.13/2.30 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[3602, 4415, 2149, 2141])).
% 2.13/2.30 tff(4417,plain,
% 2.13/2.30 ($false),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 4416, 4407])).
% 2.13/2.30 tff(4418,plain,((~r(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(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.30 tff(4419,plain,
% 2.13/2.30 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[4418, 63, 58, 90])).
% 2.13/2.30 tff(4420,plain,
% 2.13/2.30 (b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[538, 4419])).
% 2.13/2.30 tff(4421,plain,
% 2.13/2.30 (~r(s(z), s(s(z)))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[856, 393, 234, 5])).
% 2.13/2.30 tff(4422,plain,
% 2.13/2.30 (b(s(z), s(s(z)))),
% 2.13/2.30 inference(unit_resolution,[status(thm)],[698, 4421])).
% 2.13/2.30 tff(4423,plain,
% 2.13/2.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(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)))))))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4424,plain,
% 2.13/2.31 (((~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))) <=> ((~b(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(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)))))))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4425,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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))))))))))),
% 2.13/2.31 inference(monotonicity,[status(thm)],[4424])).
% 2.13/2.31 tff(4426,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(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)))))))))),
% 2.13/2.31 inference(transitivity,[status(thm)],[4425, 4423])).
% 2.13/2.31 tff(4427,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.13/2.31 inference(quant_inst,[status(thm)],[])).
% 2.13/2.31 tff(4428,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.13/2.31 inference(modus_ponens,[status(thm)],[4427, 4426])).
% 2.13/2.31 tff(4429,plain,
% 2.13/2.31 ($false),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4428, 102, 92, 364, 57, 124, 363, 125])).
% 2.13/2.31 tff(4430,plain,((~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(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,[]))).
% 2.13/2.31 tff(4431,plain,
% 2.13/2.31 ($false),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4430, 3964, 4422, 364, 57, 363, 124])).
% 2.13/2.31 tff(4432,plain,((~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(s(z)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.31 tff(4433,plain,
% 2.13/2.31 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4432, 124, 57, 363, 364, 234, 62, 5])).
% 2.13/2.31 tff(4434,plain,
% 2.13/2.31 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[409, 4433])).
% 2.13/2.31 tff(4435,plain,
% 2.13/2.31 (~r(z, s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4388, 4434, 364, 5, 62, 363, 234, 63, 90, 61])).
% 2.13/2.31 tff(4436,plain,
% 2.13/2.31 (b(z, s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[88, 4435])).
% 2.13/2.31 tff(4437,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4438,plain,
% 2.13/2.31 (((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4439,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.13/2.31 inference(monotonicity,[status(thm)],[4438])).
% 2.13/2.31 tff(4440,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.31 inference(transitivity,[status(thm)],[4439, 4437])).
% 2.13/2.31 tff(4441,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.13/2.31 inference(quant_inst,[status(thm)],[])).
% 2.13/2.31 tff(4442,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.13/2.31 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 2.13/2.31 tff(4443,plain,
% 2.13/2.31 ($false),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4442, 102, 4434, 4372, 124, 4436, 363])).
% 2.13/2.31 tff(4444,plain,((~b(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))))))) | (~r(s(s(s(s(s(s(z)))))), 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(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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.31 tff(4445,plain,
% 2.13/2.31 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4444, 4420, 2141, 4039, 4346, 3777, 63, 90, 3203, 3213])).
% 2.13/2.31 tff(4446,plain,
% 2.13/2.31 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[1711, 4445])).
% 2.13/2.31 tff(4447,plain,
% 2.13/2.31 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[2100, 4446, 4039, 4346])).
% 2.13/2.31 tff(4448,plain,
% 2.13/2.31 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[341, 4447])).
% 2.13/2.31 tff(4449,plain,
% 2.13/2.31 (~b(s(s(z)), z)),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[2972, 4422, 363, 66])).
% 2.13/2.31 tff(4450,plain,
% 2.13/2.31 (r(s(s(z)), z)),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[1392, 4449])).
% 2.13/2.31 tff(4451,plain,
% 2.13/2.31 (~r(z, s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[2687, 4450, 234, 62, 63])).
% 2.13/2.31 tff(4452,plain,
% 2.13/2.31 (b(z, s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[88, 4451])).
% 2.13/2.31 tff(4453,plain,
% 2.13/2.31 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[3887, 393, 61, 234, 62])).
% 2.13/2.31 tff(4454,plain,
% 2.13/2.31 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[232, 4453])).
% 2.13/2.31 tff(4455,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4456,plain,
% 2.13/2.31 (((~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(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(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)))))))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4457,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.13/2.31 inference(monotonicity,[status(thm)],[4456])).
% 2.13/2.31 tff(4458,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.13/2.31 inference(transitivity,[status(thm)],[4457, 4455])).
% 2.13/2.31 tff(4459,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 2.13/2.31 inference(quant_inst,[status(thm)],[])).
% 2.13/2.31 tff(4460,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.13/2.31 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 2.13/2.31 tff(4461,plain,
% 2.13/2.31 ($false),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4460, 102, 4422, 66, 124, 60, 4454, 4452])).
% 2.13/2.31 tff(4462,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, 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(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.31 tff(4463,plain,
% 2.13/2.31 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4462, 4364, 4420, 4448, 3777, 4346, 63, 3213, 3203, 4039])).
% 2.13/2.31 tff(4464,plain,
% 2.13/2.31 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[409, 4463])).
% 2.13/2.31 tff(4465,plain,
% 2.13/2.31 (~r(z, s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4388, 4464, 2141, 4039, 4346, 3213, 3777, 63, 90, 3203])).
% 2.13/2.31 tff(4466,plain,
% 2.13/2.31 (b(z, s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[88, 4465])).
% 2.13/2.31 tff(4467,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4468,plain,
% 2.13/2.31 (((~b(z, s(z))) | (~b(s(s(s(s(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(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.31 inference(rewrite,[status(thm)],[])).
% 2.13/2.31 tff(4469,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.13/2.31 inference(monotonicity,[status(thm)],[4468])).
% 2.13/2.31 tff(4470,plain,
% 2.13/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.31 inference(transitivity,[status(thm)],[4469, 4467])).
% 2.13/2.31 tff(4471,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 2.13/2.31 inference(quant_inst,[status(thm)],[])).
% 2.13/2.31 tff(4472,plain,
% 2.13/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 2.13/2.31 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 2.13/2.31 tff(4473,plain,
% 2.13/2.31 ($false),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4472, 102, 2300, 382, 363, 3410])).
% 2.13/2.31 tff(4474,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.31 tff(4475,plain,
% 2.13/2.31 (~b(s(s(s(s(z)))), s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[4474, 3410, 363, 382])).
% 2.13/2.31 tff(4476,plain,
% 2.13/2.31 (r(s(s(s(s(z)))), s(z))),
% 2.13/2.31 inference(unit_resolution,[status(thm)],[1573, 4475])).
% 2.13/2.31 tff(4477,assumption,(r(s(s(s(s(z)))), s(s(z)))), introduced(assumption)).
% 2.13/2.31 tff(4478,plain,
% 2.13/2.31 (((~![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)), 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(z))))) <=> ((~![X0: $i, X3: $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(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))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4479,plain,
% 2.13/2.32 (((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), 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(z)), 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(z))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4480,plain,
% 2.13/2.32 (((~![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(z))) | (~r(s(s(s(s(z)))), 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(z)), 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(z)))))),
% 2.13/2.32 inference(monotonicity,[status(thm)],[4479])).
% 2.13/2.32 tff(4481,plain,
% 2.13/2.32 (((~![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(z))) | (~r(s(s(s(s(z)))), 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(z)), 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(z))))),
% 2.13/2.32 inference(transitivity,[status(thm)],[4480, 4478])).
% 2.13/2.32 tff(4482,plain,
% 2.13/2.32 ((~![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(z))) | (~r(s(s(s(s(z)))), 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))))))))),
% 2.13/2.32 inference(quant_inst,[status(thm)],[])).
% 2.13/2.32 tff(4483,plain,
% 2.13/2.32 ((~![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(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(z)))),
% 2.13/2.32 inference(modus_ponens,[status(thm)],[4482, 4481])).
% 2.13/2.32 tff(4484,plain,
% 2.13/2.32 ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4483, 17, 234, 3, 2926])).
% 2.13/2.32 tff(4485,plain,
% 2.13/2.32 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4484, 4477])).
% 2.13/2.32 tff(4486,plain,
% 2.13/2.32 (((~![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(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(z))))) <=> ((~![X0: $i, X3: $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(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))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4487,plain,
% 2.13/2.32 (((~r(s(s(z)), s(z))) | (~r(s(s(s(s(z)))), 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(z)), 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(z))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4488,plain,
% 2.13/2.32 (((~![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(z))) | (~r(s(s(s(s(z)))), 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(z)), 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(z)))))),
% 2.13/2.32 inference(monotonicity,[status(thm)],[4487])).
% 2.13/2.32 tff(4489,plain,
% 2.13/2.32 (((~![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(z))) | (~r(s(s(s(s(z)))), 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(z)), 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(z))))),
% 2.13/2.32 inference(transitivity,[status(thm)],[4488, 4486])).
% 2.13/2.32 tff(4490,plain,
% 2.13/2.32 ((~![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(z))) | (~r(s(s(s(s(z)))), 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)))))))))),
% 2.13/2.32 inference(quant_inst,[status(thm)],[])).
% 2.13/2.32 tff(4491,plain,
% 2.13/2.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.13/2.32 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 2.13/2.32 tff(4492,plain,
% 2.13/2.32 ($false),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4491, 17, 234, 5, 2926, 6, 4477])).
% 2.13/2.32 tff(4493,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.32 tff(4494,plain,
% 2.13/2.32 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4493, 4477, 5, 2926, 234])).
% 2.13/2.32 tff(4495,plain,
% 2.13/2.32 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[2072, 4494])).
% 2.13/2.32 tff(4496,plain,
% 2.13/2.32 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[3602, 4495, 60, 364])).
% 2.13/2.32 tff(4497,plain,
% 2.13/2.32 ($false),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 4496, 4485])).
% 2.13/2.32 tff(4498,plain,((~r(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))))))) | (~r(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(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.32 tff(4499,plain,
% 2.13/2.32 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4498, 4476, 364, 234, 3, 60, 5])).
% 2.13/2.32 tff(4500,plain,
% 2.13/2.32 (b(s(s(s(s(z)))), s(s(z)))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[2048, 4499])).
% 2.13/2.32 tff(4501,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4502,plain,
% 2.13/2.32 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4503,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 2.13/2.32 inference(monotonicity,[status(thm)],[4502])).
% 2.13/2.32 tff(4504,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.13/2.32 inference(transitivity,[status(thm)],[4503, 4501])).
% 2.13/2.32 tff(4505,plain,
% 2.13/2.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.13/2.32 inference(quant_inst,[status(thm)],[])).
% 2.13/2.32 tff(4506,plain,
% 2.13/2.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 2.13/2.32 inference(modus_ponens,[status(thm)],[4505, 4504])).
% 2.13/2.32 tff(4507,plain,
% 2.13/2.32 (~b(s(z), s(s(s(s(z)))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4506, 102, 382, 363, 3410])).
% 2.13/2.32 tff(4508,assumption,(~r(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.13/2.32 tff(4509,plain,
% 2.13/2.32 ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z)))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4276, 49, 4508])).
% 2.13/2.32 tff(4510,plain,
% 2.13/2.32 ($false),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4509, 4507, 4043])).
% 2.13/2.32 tff(4511,plain,(r(s(z), s(s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.32 tff(4512,plain,
% 2.13/2.32 (r(s(z), s(s(s(s(z)))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4511, 3410, 363, 382])).
% 2.13/2.32 tff(4513,plain,
% 2.13/2.32 (((~![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(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)))))))) <=> ((~![X0: $i, X3: $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(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4514,plain,
% 2.13/2.32 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z)))) <=> ((~r(s(s(z)), 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)))))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4515,plain,
% 2.13/2.32 (((~![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(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~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(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))))))))),
% 2.13/2.32 inference(monotonicity,[status(thm)],[4514])).
% 2.13/2.32 tff(4516,plain,
% 2.13/2.32 (((~![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(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~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(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)))))))),
% 2.13/2.32 inference(transitivity,[status(thm)],[4515, 4513])).
% 2.13/2.32 tff(4517,plain,
% 2.13/2.32 ((~![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(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), s(z))))),
% 2.13/2.32 inference(quant_inst,[status(thm)],[])).
% 2.13/2.32 tff(4518,plain,
% 2.13/2.32 ((~![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(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))))))),
% 2.13/2.32 inference(modus_ponens,[status(thm)],[4517, 4516])).
% 2.13/2.32 tff(4519,plain,
% 2.13/2.32 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4518, 17, 234, 4476, 4512])).
% 2.13/2.32 tff(4520,plain,
% 2.13/2.32 (b(s(s(z)), s(s(s(s(z)))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[3456, 4519, 3443])).
% 2.13/2.32 tff(4521,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4522,plain,
% 2.13/2.32 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4523,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.13/2.32 inference(monotonicity,[status(thm)],[4522])).
% 2.13/2.32 tff(4524,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.13/2.32 inference(transitivity,[status(thm)],[4523, 4521])).
% 2.13/2.32 tff(4525,plain,
% 2.13/2.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.13/2.32 inference(quant_inst,[status(thm)],[])).
% 2.13/2.32 tff(4526,plain,
% 2.13/2.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.13/2.32 inference(modus_ponens,[status(thm)],[4525, 4524])).
% 2.13/2.32 tff(4527,plain,
% 2.13/2.32 ($false),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4526, 102, 66, 4520, 3410, 4500])).
% 2.13/2.32 tff(4528,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(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(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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.32 tff(4529,plain,
% 2.13/2.32 (~b(s(s(s(s(z)))), z)),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[4528, 4364, 3777, 3213, 4466, 2141, 4446, 4448, 4039])).
% 2.13/2.32 tff(4530,plain,
% 2.13/2.32 (r(s(s(s(s(z)))), z)),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[2083, 4529])).
% 2.13/2.32 tff(4531,plain,
% 2.13/2.32 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[1543, 17, 58, 90, 4530])).
% 2.13/2.32 tff(4532,plain,
% 2.13/2.32 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.32 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 4531])).
% 2.13/2.32 tff(4533,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(z)))))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4534,plain,
% 2.13/2.32 (((~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(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(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)))))), s(s(s(s(z)))))))),
% 2.13/2.32 inference(rewrite,[status(thm)],[])).
% 2.13/2.32 tff(4535,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(X0, 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(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(s(s(z))))))))),
% 2.13/2.32 inference(monotonicity,[status(thm)],[4534])).
% 2.13/2.32 tff(4536,plain,
% 2.13/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(X0, 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(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(s(s(z)))))))),
% 2.13/2.32 inference(transitivity,[status(thm)],[4535, 4533])).
% 2.13/2.32 tff(4537,plain,
% 2.13/2.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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)))))))),
% 2.13/2.32 inference(quant_inst,[status(thm)],[])).
% 2.13/2.33 tff(4538,plain,
% 2.13/2.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(z))))))),
% 2.13/2.33 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 2.13/2.33 tff(4539,plain,
% 2.13/2.33 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4538, 102, 2141, 4448, 4532])).
% 2.13/2.33 tff(4540,plain,
% 2.13/2.33 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 4539])).
% 2.13/2.33 tff(4541,plain,
% 2.13/2.33 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[3602, 4532, 4448, 2141])).
% 2.13/2.33 tff(4542,plain,
% 2.13/2.33 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[2072, 4541])).
% 2.13/2.33 tff(4543,plain,
% 2.13/2.33 (((~![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(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(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(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)))))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4544,plain,
% 2.13/2.33 (((~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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4545,plain,
% 2.13/2.33 (((~![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(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(z)))), s(s(s(s(s(s(z))))))))))),
% 2.13/2.33 inference(monotonicity,[status(thm)],[4544])).
% 2.13/2.33 tff(4546,plain,
% 2.13/2.33 (((~![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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.13/2.33 inference(transitivity,[status(thm)],[4545, 4543])).
% 2.13/2.33 tff(4547,plain,
% 2.13/2.33 ((~![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)))))))))),
% 2.13/2.33 inference(quant_inst,[status(thm)],[])).
% 2.13/2.33 tff(4548,plain,
% 2.13/2.33 ((~![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(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(z)))), s(s(s(s(s(s(z))))))))),
% 2.13/2.33 inference(modus_ponens,[status(thm)],[4547, 4546])).
% 2.13/2.33 tff(4549,plain,
% 2.13/2.33 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4548, 17, 4346, 4542, 4540])).
% 2.13/2.33 tff(4550,plain,
% 2.13/2.33 (b(s(s(z)), s(s(s(s(z)))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[3456, 4549, 3443])).
% 2.13/2.33 tff(4551,plain,
% 2.13/2.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4552,plain,
% 2.13/2.33 (((~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(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(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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4553,plain,
% 2.13/2.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.13/2.33 inference(monotonicity,[status(thm)],[4552])).
% 2.13/2.33 tff(4554,plain,
% 2.13/2.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.13/2.33 inference(transitivity,[status(thm)],[4553, 4551])).
% 2.13/2.33 tff(4555,plain,
% 2.13/2.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.13/2.33 inference(quant_inst,[status(thm)],[])).
% 2.13/2.33 tff(4556,plain,
% 2.13/2.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.13/2.33 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 2.13/2.33 tff(4557,plain,
% 2.13/2.33 (~b(z, s(s(s(s(z)))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4556, 102, 4364, 4420, 4448, 4550, 4532])).
% 2.13/2.33 tff(4558,plain,
% 2.13/2.33 (r(z, s(s(s(s(z)))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[54, 4557])).
% 2.13/2.33 tff(4559,plain,
% 2.13/2.33 (((~![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(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(z, s(s(s(s(z)))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4560,plain,
% 2.13/2.33 (((~r(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(s(s(z)))))), 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(z, s(s(s(s(z)))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4561,plain,
% 2.13/2.33 (((~![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)))), 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)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(z, s(s(s(s(z))))))))),
% 2.13/2.33 inference(monotonicity,[status(thm)],[4560])).
% 2.13/2.33 tff(4562,plain,
% 2.13/2.33 (((~![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)))), 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)))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(z, s(s(s(s(z)))))))),
% 2.13/2.33 inference(transitivity,[status(thm)],[4561, 4559])).
% 2.13/2.33 tff(4563,plain,
% 2.13/2.33 ((~![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)))), 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)))))), z)))),
% 2.13/2.33 inference(quant_inst,[status(thm)],[])).
% 2.13/2.33 tff(4564,plain,
% 2.13/2.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.13/2.33 inference(modus_ponens,[status(thm)],[4563, 4562])).
% 2.13/2.33 tff(4565,plain,
% 2.13/2.33 ($false),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4564, 17, 63, 4558, 4530, 4540])).
% 2.13/2.33 tff(4566,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.33 tff(4567,plain,
% 2.13/2.33 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4566, 90, 58])).
% 2.13/2.33 tff(4568,plain,
% 2.13/2.33 (b(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[252, 4567])).
% 2.13/2.33 tff(4569,plain,
% 2.13/2.33 (~b(z, s(z))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4029, 4568, 3777, 4346, 3213])).
% 2.13/2.33 tff(4570,plain,
% 2.13/2.33 (r(z, s(z))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[88, 4569])).
% 2.13/2.33 tff(4571,plain,
% 2.13/2.33 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[3973, 4570, 3213, 4346, 90, 3203, 3777, 4568])).
% 2.13/2.33 tff(4572,plain,
% 2.13/2.33 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[409, 4571])).
% 2.13/2.33 tff(4573,plain,
% 2.13/2.33 (~r(s(s(s(s(s(z))))), s(z))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[3247, 4570, 90, 3203])).
% 2.13/2.33 tff(4574,plain,
% 2.13/2.33 (b(s(s(s(s(s(z))))), s(z))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[303, 4573])).
% 2.13/2.33 tff(4575,plain,
% 2.13/2.33 ($false),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[2551, 102, 425, 4, 124, 363])).
% 2.13/2.33 tff(4576,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.33 tff(4577,plain,
% 2.13/2.33 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4576, 4572, 4568, 3213])).
% 2.13/2.33 tff(4578,plain,
% 2.13/2.33 (r(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[538, 4577])).
% 2.13/2.33 tff(4579,plain,
% 2.13/2.33 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4219, 4578, 4570, 90, 3203])).
% 2.13/2.33 tff(4580,plain,
% 2.13/2.33 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[341, 4579])).
% 2.13/2.33 tff(4581,plain,
% 2.13/2.33 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[3737, 4580, 4574, 4572])).
% 2.13/2.33 tff(4582,plain,
% 2.13/2.33 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[165, 4581])).
% 2.13/2.33 tff(4583,plain,
% 2.13/2.33 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[3062, 4582, 4570, 90, 4578])).
% 2.13/2.33 tff(4584,plain,
% 2.13/2.33 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[361, 4583])).
% 2.13/2.33 tff(4585,plain,
% 2.13/2.33 (~r(z, s(s(z)))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[3906, 4570])).
% 2.13/2.33 tff(4586,plain,
% 2.13/2.33 (b(z, s(s(z)))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[122, 4585])).
% 2.13/2.33 tff(4587,plain,
% 2.13/2.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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))) | (~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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4588,plain,
% 2.13/2.33 (((~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(z, 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(z, s(s(z)))) | (~b(s(z), 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(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4589,plain,
% 2.13/2.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.13/2.33 inference(monotonicity,[status(thm)],[4588])).
% 2.13/2.33 tff(4590,plain,
% 2.13/2.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), 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))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.33 inference(transitivity,[status(thm)],[4589, 4587])).
% 2.13/2.33 tff(4591,plain,
% 2.13/2.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, 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))))),
% 2.13/2.33 inference(quant_inst,[status(thm)],[])).
% 2.13/2.33 tff(4592,plain,
% 2.13/2.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.13/2.33 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 2.13/2.33 tff(4593,plain,
% 2.13/2.33 ($false),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4592, 102, 425, 66, 4, 364, 197, 363])).
% 2.13/2.33 tff(4594,plain,((~b(s(s(z)), s(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)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.33 tff(4595,plain,
% 2.13/2.33 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[4594, 4572, 4586, 4568, 4584, 3213])).
% 2.13/2.33 tff(4596,plain,
% 2.13/2.33 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[232, 4595])).
% 2.13/2.33 tff(4597,plain,
% 2.13/2.33 (~r(s(s(z)), z)),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[2293, 4596, 58, 3777, 4570])).
% 2.13/2.33 tff(4598,plain,
% 2.13/2.33 (b(s(s(z)), z)),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[1392, 4597])).
% 2.13/2.33 tff(4599,plain,
% 2.13/2.33 (~b(s(z), s(s(z)))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[2972, 4598, 3213, 4586])).
% 2.13/2.33 tff(4600,plain,
% 2.13/2.33 (r(s(z), s(s(z)))),
% 2.13/2.33 inference(unit_resolution,[status(thm)],[698, 4599])).
% 2.13/2.33 tff(4601,plain,
% 2.13/2.33 (((~![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(z), s(s(z)))) | (~r(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(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(z), s(s(z)))) | (~r(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(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4602,plain,
% 2.13/2.33 (((~r(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(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(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(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.13/2.33 inference(rewrite,[status(thm)],[])).
% 2.13/2.33 tff(4603,plain,
% 2.13/2.33 (((~![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(s(z))))))) | (~r(s(z), 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(z), s(s(z)))) | (~r(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(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.13/2.33 inference(monotonicity,[status(thm)],[4602])).
% 2.13/2.33 tff(4604,plain,
% 2.13/2.33 (((~![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(s(z))))))) | (~r(s(z), 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(z), s(s(z)))) | (~r(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(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.13/2.33 inference(transitivity,[status(thm)],[4603, 4601])).
% 2.13/2.33 tff(4605,plain,
% 2.13/2.33 ((~![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(s(z))))))) | (~r(s(z), 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)))))))))),
% 2.13/2.33 inference(quant_inst,[status(thm)],[])).
% 2.13/2.33 tff(4606,plain,
% 2.13/2.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.13/2.34 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 2.13/2.34 tff(4607,plain,
% 2.13/2.34 ($false),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4606, 17, 4600, 4039, 4596, 3203, 4582])).
% 2.13/2.34 tff(4608,plain,((~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.34 tff(4609,plain,
% 2.13/2.34 (~r(z, s(s(s(s(s(z))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4608, 58])).
% 2.13/2.34 tff(4610,plain,
% 2.13/2.34 (b(z, s(s(s(s(s(z))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[557, 4609])).
% 2.13/2.34 tff(4611,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4612,plain,
% 2.13/2.34 (((~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(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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4613,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 2.13/2.34 inference(monotonicity,[status(thm)],[4612])).
% 2.13/2.34 tff(4614,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.13/2.34 inference(transitivity,[status(thm)],[4613, 4611])).
% 2.13/2.34 tff(4615,plain,
% 2.13/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(quant_inst,[status(thm)],[])).
% 2.13/2.34 tff(4616,plain,
% 2.13/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.13/2.34 inference(modus_ponens,[status(thm)],[4615, 4614])).
% 2.13/2.34 tff(4617,plain,
% 2.13/2.34 ($false),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4616, 102, 540, 66, 57, 197])).
% 2.13/2.34 tff(4618,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.34 tff(4619,plain,
% 2.13/2.34 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4618, 66, 4610, 57])).
% 2.13/2.34 tff(4620,plain,
% 2.13/2.34 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[232, 4619])).
% 2.13/2.34 tff(4621,plain,
% 2.13/2.34 (~r(s(s(z)), s(z))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[1433, 67, 59, 4620, 65])).
% 2.13/2.34 tff(4622,plain,
% 2.13/2.34 (b(s(s(z)), s(z))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[195, 4621])).
% 2.13/2.34 tff(4623,plain,
% 2.13/2.34 (~b(s(z), s(s(s(s(s(z))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[1423, 4622, 59, 65, 89, 57])).
% 2.13/2.34 tff(4624,plain,
% 2.13/2.34 (r(s(z), s(s(s(s(s(z))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[3202, 4623])).
% 2.13/2.34 tff(4625,plain,
% 2.13/2.34 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4153, 61, 64, 67])).
% 2.13/2.34 tff(4626,plain,
% 2.13/2.34 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[409, 4625])).
% 2.13/2.34 tff(4627,plain,
% 2.13/2.34 (((~![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), 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(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(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(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4628,plain,
% 2.13/2.34 (((~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(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(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4629,plain,
% 2.13/2.34 (((~![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))))), 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(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(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 2.13/2.34 inference(monotonicity,[status(thm)],[4628])).
% 2.13/2.34 tff(4630,plain,
% 2.13/2.34 (((~![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))))), 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(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(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(transitivity,[status(thm)],[4629, 4627])).
% 2.13/2.34 tff(4631,plain,
% 2.13/2.34 ((~![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))))), 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)))))))))),
% 2.13/2.34 inference(quant_inst,[status(thm)],[])).
% 2.13/2.34 tff(4632,plain,
% 2.13/2.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(modus_ponens,[status(thm)],[4631, 4630])).
% 2.13/2.34 tff(4633,plain,
% 2.13/2.34 ((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4632, 17, 58, 59, 64])).
% 2.13/2.34 tff(4634,plain,
% 2.13/2.34 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4633, 61])).
% 2.13/2.34 tff(4635,plain,
% 2.13/2.34 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[165, 4634])).
% 2.13/2.34 tff(4636,plain,
% 2.13/2.34 ($false),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[1695, 4635, 4626, 89, 4])).
% 2.13/2.34 tff(4637,plain,((~r(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)) | (~r(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(z)))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.34 tff(4638,plain,
% 2.13/2.34 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4637, 4624, 58, 59, 64, 67])).
% 2.13/2.34 tff(4639,plain,
% 2.13/2.34 (r(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[252, 4638])).
% 2.13/2.34 tff(4640,plain,
% 2.13/2.34 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4633, 4624])).
% 2.13/2.34 tff(4641,plain,
% 2.13/2.34 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[165, 4640])).
% 2.13/2.34 tff(4642,plain,
% 2.13/2.34 ((s(z) = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = s(z))),
% 2.13/2.34 inference(commutativity,[status(thm)],[])).
% 2.13/2.34 tff(4643,plain,
% 2.13/2.34 ((s(s(s(s(s(s(z)))))) = s(z)) <=> (s(z) = s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(symmetry,[status(thm)],[4642])).
% 2.13/2.34 tff(4644,plain,
% 2.13/2.34 ((~(s(s(s(s(s(s(z)))))) = s(z))) <=> (~(s(z) = s(s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(monotonicity,[status(thm)],[4643])).
% 2.13/2.34 tff(4645,plain,
% 2.13/2.34 (~(s(z) = s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(modus_ponens,[status(thm)],[156, 4644])).
% 2.13/2.34 tff(4646,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4647,plain,
% 2.13/2.34 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, 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(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4648,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))))),
% 2.13/2.34 inference(monotonicity,[status(thm)],[4647])).
% 2.13/2.34 tff(4649,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(transitivity,[status(thm)],[4648, 4646])).
% 2.13/2.34 tff(4650,plain,
% 2.13/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 2.13/2.34 inference(quant_inst,[status(thm)],[])).
% 2.13/2.34 tff(4651,plain,
% 2.13/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 2.13/2.34 tff(4652,plain,
% 2.13/2.34 ($false),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4651, 102, 92, 540, 66, 56, 382])).
% 2.13/2.34 tff(4653,plain,((~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.34 tff(4654,plain,
% 2.13/2.34 (~b(s(s(z)), z)),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[4653, 382, 540, 66, 92])).
% 2.13/2.34 tff(4655,plain,
% 2.13/2.34 (r(s(s(z)), z)),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[1392, 4654])).
% 2.13/2.34 tff(4656,plain,
% 2.13/2.34 (~b(s(s(z)), s(z))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[1833, 382, 66, 92])).
% 2.13/2.34 tff(4657,plain,
% 2.13/2.34 (r(s(s(z)), s(z))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[195, 4656])).
% 2.13/2.34 tff(4658,plain,
% 2.13/2.34 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[3317, 62, 63, 4655, 235])).
% 2.13/2.34 tff(4659,plain,
% 2.13/2.34 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.34 inference(unit_resolution,[status(thm)],[341, 4658])).
% 2.13/2.34 tff(4660,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4661,plain,
% 2.13/2.34 (((~b(s(z), s(s(z)))) | (~b(z, 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(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(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(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.34 inference(rewrite,[status(thm)],[])).
% 2.13/2.34 tff(4662,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))))), 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(X0, 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(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(z, s(s(s(s(s(s(z))))))))))),
% 2.13/2.34 inference(monotonicity,[status(thm)],[4661])).
% 2.13/2.34 tff(4663,plain,
% 2.13/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))))), 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(X0, 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(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(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.34 inference(transitivity,[status(thm)],[4662, 4660])).
% 2.13/2.34 tff(4664,plain,
% 2.13/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))))), 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))))))))),
% 2.13/2.34 inference(quant_inst,[status(thm)],[])).
% 2.13/2.34 tff(4665,plain,
% 2.13/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.13/2.34 inference(modus_ponens,[status(thm)],[4664, 4663])).
% 2.13/2.35 tff(4666,plain,
% 2.13/2.35 ($false),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4665, 102, 92, 540, 425, 66, 124, 60])).
% 2.13/2.35 tff(4667,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, 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))))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.35 tff(4668,plain,
% 2.13/2.35 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4667, 4659, 540, 66, 124, 92])).
% 2.13/2.35 tff(4669,plain,
% 2.13/2.35 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[409, 4668])).
% 2.13/2.35 tff(4670,plain,
% 2.13/2.35 (~r(s(z), s(s(s(s(s(z))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[3887, 4669, 235, 62, 4657])).
% 2.13/2.35 tff(4671,plain,
% 2.13/2.35 (b(s(z), s(s(s(s(s(z))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[3202, 4670])).
% 2.13/2.35 tff(4672,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(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(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(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(s(z), s(s(s(s(s(z))))))))),
% 2.13/2.35 inference(rewrite,[status(thm)],[])).
% 2.13/2.35 tff(4673,plain,
% 2.13/2.35 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, 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(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(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(s(z), s(s(s(s(s(z))))))))),
% 2.13/2.35 inference(rewrite,[status(thm)],[])).
% 2.13/2.35 tff(4674,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(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(s(z), s(s(s(s(s(z)))))))))),
% 2.13/2.35 inference(monotonicity,[status(thm)],[4673])).
% 2.13/2.35 tff(4675,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(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(s(z), s(s(s(s(s(z))))))))),
% 2.13/2.35 inference(transitivity,[status(thm)],[4674, 4672])).
% 2.13/2.35 tff(4676,plain,
% 2.13/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 2.13/2.35 inference(quant_inst,[status(thm)],[])).
% 2.13/2.35 tff(4677,plain,
% 2.13/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 2.13/2.35 tff(4678,plain,
% 2.13/2.35 ($false),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4677, 102, 540, 66, 498, 4659, 382, 4671])).
% 2.13/2.35 tff(4679,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.35 tff(4680,plain,
% 2.13/2.35 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4679, 124, 66, 498, 382, 235, 540, 92, 63])).
% 2.13/2.35 tff(4681,plain,
% 2.13/2.35 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[279, 4680])).
% 2.13/2.35 tff(4682,plain,
% 2.13/2.35 (((~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(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)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.35 inference(rewrite,[status(thm)],[])).
% 2.13/2.35 tff(4683,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.13/2.35 inference(monotonicity,[status(thm)],[4682])).
% 2.13/2.35 tff(4684,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.35 inference(transitivity,[status(thm)],[4683, 1976])).
% 2.13/2.35 tff(4685,plain,
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% 2.13/2.35 inference(quant_inst,[status(thm)],[])).
% 2.13/2.35 tff(4686,plain,
% 2.13/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.13/2.35 inference(modus_ponens,[status(thm)],[4685, 4684])).
% 2.13/2.35 tff(4687,plain,
% 2.13/2.35 ($false),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4686, 102, 66, 498, 124, 4681])).
% 2.13/2.35 tff(4688,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(z))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.35 tff(4689,plain,
% 2.13/2.35 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4688, 382, 498, 66, 235, 540, 92, 63])).
% 2.13/2.35 tff(4690,plain,
% 2.13/2.35 (r(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[538, 4689])).
% 2.13/2.35 tff(4691,plain,
% 2.13/2.35 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[2713, 4690, 63, 4655])).
% 2.13/2.35 tff(4692,plain,
% 2.13/2.35 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[279, 4691])).
% 2.13/2.35 tff(4693,plain,
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% 2.13/2.35 inference(unit_resolution,[status(thm)],[3850, 102, 92, 66, 498, 4692, 382])).
% 2.13/2.35 tff(4694,plain,((~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.35 tff(4695,plain,
% 2.13/2.35 (~b(z, s(z))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4694, 63, 66, 498, 92, 235, 540])).
% 2.13/2.35 tff(4696,plain,
% 2.13/2.35 (r(z, s(z))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[88, 4695])).
% 2.13/2.35 tff(4697,plain,
% 2.13/2.35 (~b(s(s(z)), z)),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[2972, 363, 66, 92])).
% 2.13/2.35 tff(4698,plain,
% 2.13/2.35 (r(s(s(z)), z)),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[1392, 4697])).
% 2.13/2.35 tff(4699,plain,
% 2.13/2.35 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[2713, 4698, 63, 1])).
% 2.13/2.35 tff(4700,plain,
% 2.13/2.35 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[279, 4699])).
% 2.13/2.35 tff(4701,plain,
% 2.13/2.35 ($false),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[3825, 102, 92, 66, 498, 4700, 363])).
% 2.13/2.35 tff(4702,plain,((~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(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(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.35 tff(4703,plain,
% 2.13/2.35 (~b(s(z), z)),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4702, 1, 66, 498, 63, 92])).
% 2.13/2.35 tff(4704,plain,
% 2.13/2.35 (r(s(z), z)),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[380, 4703])).
% 2.13/2.35 tff(4705,plain,
% 2.13/2.35 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[3842, 68, 63, 92, 498, 66])).
% 2.13/2.35 tff(4706,plain,
% 2.13/2.35 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[279, 4705])).
% 2.13/2.35 tff(4707,plain,
% 2.13/2.35 (~r(s(s(z)), z)),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[2713, 1, 63, 4706])).
% 2.13/2.35 tff(4708,plain,
% 2.13/2.35 (b(s(s(z)), z)),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[1392, 4707])).
% 2.13/2.35 tff(4709,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.13/2.35 inference(rewrite,[status(thm)],[])).
% 2.13/2.35 tff(4710,plain,
% 2.13/2.35 (((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), 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(z, s(s(z)))) | (~b(s(s(z)), 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))))),
% 2.13/2.35 inference(rewrite,[status(thm)],[])).
% 2.13/2.35 tff(4711,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.13/2.35 inference(monotonicity,[status(thm)],[4710])).
% 2.13/2.35 tff(4712,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.13/2.35 inference(transitivity,[status(thm)],[4711, 4709])).
% 2.13/2.35 tff(4713,plain,
% 2.13/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.13/2.35 inference(quant_inst,[status(thm)],[])).
% 2.13/2.35 tff(4714,plain,
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% 2.13/2.35 inference(modus_ponens,[status(thm)],[4713, 4712])).
% 2.13/2.35 tff(4715,plain,
% 2.13/2.35 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4714, 102, 92, 66, 498, 4708])).
% 2.13/2.35 tff(4716,plain,
% 2.13/2.35 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[409, 4715])).
% 2.13/2.35 tff(4717,plain,
% 2.13/2.35 ($false),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[3840, 17, 4716, 68, 4704, 63])).
% 2.13/2.35 tff(4718,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.35 tff(4719,plain,
% 2.13/2.35 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[4718, 4696, 63, 92, 66, 498])).
% 2.13/2.35 tff(4720,plain,
% 2.13/2.35 (b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[538, 4719])).
% 2.13/2.35 tff(4721,plain,
% 2.13/2.35 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[3842, 4696, 63, 92, 498, 66])).
% 2.13/2.35 tff(4722,plain,
% 2.13/2.35 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.35 inference(unit_resolution,[status(thm)],[279, 4721])).
% 2.13/2.35 tff(4723,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.35 inference(rewrite,[status(thm)],[])).
% 2.13/2.35 tff(4724,plain,
% 2.13/2.35 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), 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(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.35 inference(rewrite,[status(thm)],[])).
% 2.13/2.35 tff(4725,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.13/2.35 inference(monotonicity,[status(thm)],[4724])).
% 2.13/2.35 tff(4726,plain,
% 2.13/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(transitivity,[status(thm)],[4725, 4723])).
% 2.13/2.36 tff(4727,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(quant_inst,[status(thm)],[])).
% 2.13/2.36 tff(4728,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.13/2.36 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 2.13/2.36 tff(4729,plain,
% 2.13/2.36 ($false),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4728, 102, 92, 66, 498, 168, 124])).
% 2.13/2.36 tff(4730,plain,((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(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,[]))).
% 2.13/2.36 tff(4731,plain,
% 2.13/2.36 (~b(s(s(z)), s(z))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4730, 4720, 66, 498, 92])).
% 2.13/2.36 tff(4732,plain,
% 2.13/2.36 (r(s(s(z)), s(z))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[195, 4731])).
% 2.13/2.36 tff(4733,plain,
% 2.13/2.36 (~r(s(s(z)), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[2685, 17, 4732, 4696, 63, 4722])).
% 2.13/2.36 tff(4734,plain,
% 2.13/2.36 (b(s(s(z)), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[1392, 4733])).
% 2.13/2.36 tff(4735,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(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(X0, 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(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4736,plain,
% 2.13/2.36 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, 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(z)))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), 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)))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4737,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.13/2.36 inference(monotonicity,[status(thm)],[4736])).
% 2.13/2.36 tff(4738,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(transitivity,[status(thm)],[4737, 4735])).
% 2.13/2.36 tff(4739,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(quant_inst,[status(thm)],[])).
% 2.13/2.36 tff(4740,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.13/2.36 inference(modus_ponens,[status(thm)],[4739, 4738])).
% 2.13/2.36 tff(4741,plain,
% 2.13/2.36 ($false),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4740, 102, 540, 66, 498, 4734, 4720])).
% 2.13/2.36 tff(4742,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.36 tff(4743,plain,
% 2.13/2.36 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4742, 235, 66, 498, 92, 540])).
% 2.13/2.36 tff(4744,plain,
% 2.13/2.36 (b(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[252, 4743])).
% 2.13/2.36 tff(4745,plain,
% 2.13/2.36 (~b(s(s(z)), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[777, 4744, 498, 66])).
% 2.13/2.36 tff(4746,plain,
% 2.13/2.36 (r(s(s(z)), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[1392, 4745])).
% 2.13/2.36 tff(4747,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4748,plain,
% 2.13/2.36 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(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)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4749,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.13/2.36 inference(monotonicity,[status(thm)],[4748])).
% 2.13/2.36 tff(4750,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.13/2.36 inference(transitivity,[status(thm)],[4749, 4747])).
% 2.13/2.36 tff(4751,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(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)))),
% 2.13/2.36 inference(quant_inst,[status(thm)],[])).
% 2.13/2.36 tff(4752,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.13/2.36 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 2.13/2.36 tff(4753,plain,
% 2.13/2.36 ($false),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4752, 102, 92, 66, 498, 168, 4])).
% 2.13/2.36 tff(4754,plain,((~b(s(s(z)), s(z))) | (~b(s(z), s(s(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))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.36 tff(4755,plain,
% 2.13/2.36 (~b(s(s(z)), s(z))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4754, 4744, 66, 498, 92])).
% 2.13/2.36 tff(4756,plain,
% 2.13/2.36 (r(s(s(z)), s(z))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[195, 4755])).
% 2.13/2.36 tff(4757,plain,
% 2.13/2.36 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[1462, 4744, 498, 66])).
% 2.13/2.36 tff(4758,plain,
% 2.13/2.36 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[279, 4757])).
% 2.13/2.36 tff(4759,assumption,(b(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 2.13/2.36 tff(4760,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), z)) | (~b(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4761,plain,
% 2.13/2.36 (((~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(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(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4762,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(monotonicity,[status(thm)],[4761])).
% 2.13/2.36 tff(4763,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.36 inference(transitivity,[status(thm)],[4762, 4760])).
% 2.13/2.36 tff(4764,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.36 inference(quant_inst,[status(thm)],[])).
% 2.13/2.36 tff(4765,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.13/2.36 inference(modus_ponens,[status(thm)],[4764, 4763])).
% 2.13/2.36 tff(4766,plain,
% 2.13/2.36 ($false),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4765, 102, 540, 4759, 4, 364])).
% 2.13/2.36 tff(4767,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)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.36 tff(4768,plain,
% 2.13/2.36 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4767, 4759, 4, 540])).
% 2.13/2.36 tff(4769,plain,
% 2.13/2.36 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[361, 4768])).
% 2.13/2.36 tff(4770,plain,
% 2.13/2.36 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[313, 4769, 62, 235])).
% 2.13/2.36 tff(4771,plain,
% 2.13/2.36 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[341, 4770])).
% 2.13/2.36 tff(4772,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4773,plain,
% 2.13/2.36 (((~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(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(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)))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4774,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.13/2.36 inference(monotonicity,[status(thm)],[4773])).
% 2.13/2.36 tff(4775,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(transitivity,[status(thm)],[4774, 4772])).
% 2.13/2.36 tff(4776,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.13/2.36 inference(quant_inst,[status(thm)],[])).
% 2.13/2.36 tff(4777,plain,
% 2.13/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.13/2.36 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 2.13/2.36 tff(4778,plain,
% 2.13/2.36 ($false),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4777, 102, 540, 4759, 4, 4771])).
% 2.13/2.36 tff(4779,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)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.36 tff(4780,plain,
% 2.13/2.36 (~b(s(s(s(s(s(z))))), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4779, 4744, 540, 4758, 235])).
% 2.13/2.36 tff(4781,assumption,(~r(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 2.13/2.36 tff(4782,assumption,(~b(s(s(s(s(s(z))))), z)), introduced(assumption)).
% 2.13/2.36 tff(4783,plain,
% 2.13/2.36 (((~![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))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4784,plain,
% 2.13/2.36 ((~![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))),
% 2.13/2.36 inference(quant_inst,[status(thm)],[])).
% 2.13/2.36 tff(4785,plain,
% 2.13/2.36 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(z))))) = z) | b(s(s(s(s(s(z))))), z) | r(s(s(s(s(s(z))))), z)),
% 2.13/2.36 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 2.13/2.36 tff(4786,plain,
% 2.13/2.36 ($false),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4785, 49, 154, 4782, 4781])).
% 2.13/2.36 tff(4787,plain,(r(s(s(s(s(s(z))))), z) | b(s(s(s(s(s(z))))), z)), inference(lemma,lemma(discharge,[]))).
% 2.13/2.36 tff(4788,plain,
% 2.13/2.36 (r(s(s(s(s(s(z))))), z)),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[4787, 4780])).
% 2.13/2.36 tff(4789,plain,
% 2.13/2.36 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[1483, 4788, 235, 4746, 4758])).
% 2.13/2.36 tff(4790,plain,
% 2.13/2.36 (b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.36 inference(unit_resolution,[status(thm)],[538, 4789])).
% 2.13/2.36 tff(4791,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4792,plain,
% 2.13/2.36 (((~b(z, s(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(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(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)))))))))),
% 2.13/2.36 inference(rewrite,[status(thm)],[])).
% 2.13/2.36 tff(4793,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.13/2.36 inference(monotonicity,[status(thm)],[4792])).
% 2.13/2.36 tff(4794,plain,
% 2.13/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.13/2.36 inference(transitivity,[status(thm)],[4793, 4791])).
% 2.13/2.37 tff(4795,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.13/2.37 inference(quant_inst,[status(thm)],[])).
% 2.13/2.37 tff(4796,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.13/2.37 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 2.13/2.37 tff(4797,plain,
% 2.13/2.37 ($false),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4796, 102, 540, 4, 124, 60])).
% 2.13/2.37 tff(4798,plain,((~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(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.37 tff(4799,plain,
% 2.13/2.37 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4798, 4744, 540, 4790])).
% 2.13/2.37 tff(4800,plain,
% 2.13/2.37 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[341, 4799])).
% 2.13/2.37 tff(4801,plain,
% 2.13/2.37 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[313, 4800, 4758, 235])).
% 2.13/2.37 tff(4802,plain,
% 2.13/2.37 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[361, 4801])).
% 2.13/2.37 tff(4803,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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(s(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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(s(z))))), 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))))))))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4804,plain,
% 2.13/2.37 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(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(s(s(z)))))), s(s(s(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(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(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4805,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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(s(z))))), 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)))))))))),
% 2.13/2.37 inference(monotonicity,[status(thm)],[4804])).
% 2.13/2.37 tff(4806,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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(s(z))))), 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))))))))),
% 2.13/2.37 inference(transitivity,[status(thm)],[4805, 4803])).
% 2.13/2.37 tff(4807,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.13/2.37 inference(quant_inst,[status(thm)],[])).
% 2.13/2.37 tff(4808,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.13/2.37 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 2.13/2.37 tff(4809,plain,
% 2.13/2.37 ($false),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4808, 102, 92, 540, 498, 343, 4, 364])).
% 2.13/2.37 tff(4810,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(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)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.37 tff(4811,plain,
% 2.13/2.37 (~b(s(s(s(s(s(z))))), s(z))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4810, 4744, 540, 498, 92, 4802])).
% 2.13/2.37 tff(4812,plain,
% 2.13/2.37 (r(s(s(s(s(s(z))))), s(z))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[303, 4811])).
% 2.13/2.37 tff(4813,plain,
% 2.13/2.37 (~r(s(z), z)),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[1433, 4812, 235, 4756, 4746])).
% 2.13/2.37 tff(4814,plain,
% 2.13/2.37 (b(s(z), z)),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[380, 4813])).
% 2.13/2.37 tff(4815,plain,
% 2.13/2.37 (~r(z, s(z))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[2293, 4788, 235, 4756, 4746])).
% 2.13/2.37 tff(4816,plain,
% 2.13/2.37 (b(z, s(z))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[88, 4815])).
% 2.13/2.37 tff(4817,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, 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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, 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)))))))))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4818,plain,
% 2.13/2.37 (((~b(s(z), 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), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))) <=> ((~b(s(z), z)) | (~b(z, 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)))))))))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4819,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, 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))))))))))),
% 2.13/2.37 inference(monotonicity,[status(thm)],[4818])).
% 2.13/2.37 tff(4820,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, 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)))))))))),
% 2.13/2.37 inference(transitivity,[status(thm)],[4819, 4817])).
% 2.13/2.37 tff(4821,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.13/2.37 inference(quant_inst,[status(thm)],[])).
% 2.13/2.37 tff(4822,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.13/2.37 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 2.13/2.37 tff(4823,plain,
% 2.13/2.37 ((~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4822, 102, 92, 4744, 4816])).
% 2.13/2.37 tff(4824,plain,
% 2.13/2.37 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4823, 4814])).
% 2.13/2.37 tff(4825,plain,
% 2.13/2.37 ((s(z) = s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[163, 49, 4824])).
% 2.13/2.37 tff(4826,plain,
% 2.13/2.37 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4825, 4645])).
% 2.13/2.37 tff(4827,plain,
% 2.13/2.37 ($false),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[286, 17, 4756, 4812, 235, 4758, 4826])).
% 2.13/2.37 tff(4828,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), 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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.37 tff(4829,plain,
% 2.13/2.37 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4828, 498, 540, 92, 66])).
% 2.13/2.37 tff(4830,plain,
% 2.13/2.37 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[232, 4829])).
% 2.13/2.37 tff(4831,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4832,plain,
% 2.13/2.37 (((~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(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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4833,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.13/2.37 inference(monotonicity,[status(thm)],[4832])).
% 2.13/2.37 tff(4834,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.13/2.37 inference(transitivity,[status(thm)],[4833, 4831])).
% 2.13/2.37 tff(4835,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))),
% 2.13/2.37 inference(quant_inst,[status(thm)],[])).
% 2.13/2.37 tff(4836,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 2.13/2.37 inference(modus_ponens,[status(thm)],[4835, 4834])).
% 2.13/2.37 tff(4837,plain,
% 2.13/2.37 ($false),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4836, 102, 540, 4759, 66, 197])).
% 2.13/2.37 tff(4838,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.37 tff(4839,plain,
% 2.13/2.37 (~b(s(s(s(s(s(z))))), z)),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4838, 4830, 66, 540])).
% 2.13/2.37 tff(4840,plain,
% 2.13/2.37 (r(s(s(s(s(s(z))))), z)),
% 2.13/2.37 inference(unit_resolution,[status(thm)],[4787, 4839])).
% 2.13/2.37 tff(4841,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4842,plain,
% 2.13/2.37 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, 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(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(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)))))))))),
% 2.13/2.37 inference(rewrite,[status(thm)],[])).
% 2.13/2.37 tff(4843,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), s(s(s(s(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(X0, 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(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))))))))))),
% 2.13/2.37 inference(monotonicity,[status(thm)],[4842])).
% 2.13/2.37 tff(4844,plain,
% 2.13/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), s(s(s(s(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(X0, 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(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)))))))))),
% 2.13/2.37 inference(transitivity,[status(thm)],[4843, 4841])).
% 2.13/2.37 tff(4845,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), s(s(s(s(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)))))),
% 2.13/2.37 inference(quant_inst,[status(thm)],[])).
% 2.13/2.37 tff(4846,plain,
% 2.13/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.13/2.38 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 2.13/2.38 tff(4847,plain,
% 2.13/2.38 ($false),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4846, 102, 540, 66, 498, 60, 197])).
% 2.13/2.38 tff(4848,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.38 tff(4849,plain,
% 2.13/2.38 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4848, 498, 66, 540, 4830])).
% 2.13/2.38 tff(4850,plain,
% 2.13/2.38 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[341, 4849])).
% 2.13/2.38 tff(4851,plain,
% 2.13/2.38 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[3855, 498, 66, 92])).
% 2.13/2.38 tff(4852,plain,
% 2.13/2.38 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[279, 4851])).
% 2.13/2.38 tff(4853,plain,
% 2.13/2.38 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4618, 4830, 66, 540])).
% 2.13/2.38 tff(4854,plain,
% 2.13/2.38 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[1711, 4853])).
% 2.13/2.38 tff(4855,plain,
% 2.13/2.38 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[2165, 4840, 4854, 4852, 4850])).
% 2.13/2.38 tff(4856,plain,
% 2.13/2.38 (b(s(s(s(s(s(s(z)))))), z)),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[252, 4855])).
% 2.13/2.38 tff(4857,plain,
% 2.13/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 2.13/2.38 inference(rewrite,[status(thm)],[])).
% 2.13/2.38 tff(4858,plain,
% 2.13/2.38 (((~b(s(z), s(s(z)))) | (~b(z, 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(s(z), s(s(z)))) | (~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))))), s(z))))),
% 2.13/2.38 inference(rewrite,[status(thm)],[])).
% 2.13/2.38 tff(4859,plain,
% 2.13/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))),
% 2.13/2.38 inference(monotonicity,[status(thm)],[4858])).
% 2.13/2.38 tff(4860,plain,
% 2.13/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))),
% 2.13/2.38 inference(transitivity,[status(thm)],[4859, 4857])).
% 2.13/2.38 tff(4861,plain,
% 2.13/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.13/2.38 inference(quant_inst,[status(thm)],[])).
% 2.13/2.38 tff(4862,plain,
% 2.13/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 2.13/2.38 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 2.13/2.38 tff(4863,plain,
% 2.13/2.38 ($false),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4862, 102, 92, 540, 66, 343, 197])).
% 2.13/2.38 tff(4864,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.38 tff(4865,plain,
% 2.13/2.38 (~b(s(s(s(s(s(z))))), s(z))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4864, 4830, 540, 66, 92])).
% 2.13/2.38 tff(4866,plain,
% 2.13/2.38 (r(s(s(s(s(s(z))))), s(z))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[303, 4865])).
% 2.13/2.38 tff(4867,plain,
% 2.13/2.38 (~b(s(s(z)), s(z))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4754, 4856, 66, 498, 92])).
% 2.13/2.38 tff(4868,plain,
% 2.13/2.38 (r(s(s(z)), s(z))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[195, 4867])).
% 2.13/2.38 tff(4869,plain,
% 2.13/2.38 (~r(s(z), z)),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[1823, 67, 58, 234, 3])).
% 2.13/2.38 tff(4870,plain,
% 2.13/2.38 (b(s(z), z)),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[380, 4869])).
% 2.13/2.38 tff(4871,plain,
% 2.13/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), s(s(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(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(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.13/2.38 inference(rewrite,[status(thm)],[])).
% 2.13/2.38 tff(4872,plain,
% 2.13/2.38 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), 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(z), z)) | (~b(s(z), s(s(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(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.13/2.38 inference(rewrite,[status(thm)],[])).
% 2.13/2.38 tff(4873,plain,
% 2.13/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), s(s(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(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.13/2.38 inference(monotonicity,[status(thm)],[4872])).
% 2.13/2.38 tff(4874,plain,
% 2.13/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(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(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.13/2.38 inference(transitivity,[status(thm)],[4873, 4871])).
% 2.13/2.38 tff(4875,plain,
% 2.13/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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)))))))))),
% 2.13/2.38 inference(quant_inst,[status(thm)],[])).
% 2.13/2.38 tff(4876,plain,
% 2.13/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(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(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.13/2.38 inference(modus_ponens,[status(thm)],[4875, 4874])).
% 2.13/2.38 tff(4877,plain,
% 2.13/2.38 ((~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4876, 102, 92, 498, 4, 124])).
% 2.13/2.38 tff(4878,plain,
% 2.13/2.38 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4877, 4870])).
% 2.13/2.38 tff(4879,plain,
% 2.13/2.38 ((s(z) = s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[163, 49, 4878])).
% 2.13/2.38 tff(4880,plain,
% 2.13/2.38 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4879, 4645])).
% 2.13/2.38 tff(4881,plain,
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% 2.13/2.38 inference(rewrite,[status(thm)],[])).
% 2.13/2.38 tff(4882,plain,
% 2.13/2.38 (((~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(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(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(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.13/2.38 inference(rewrite,[status(thm)],[])).
% 2.13/2.38 tff(4883,plain,
% 2.13/2.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(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(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(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 2.13/2.38 inference(monotonicity,[status(thm)],[4882])).
% 2.13/2.38 tff(4884,plain,
% 2.13/2.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(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(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(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.13/2.38 inference(transitivity,[status(thm)],[4883, 4881])).
% 2.13/2.38 tff(4885,plain,
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% 2.13/2.38 inference(quant_inst,[status(thm)],[])).
% 2.13/2.38 tff(4886,plain,
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% 2.13/2.38 inference(modus_ponens,[status(thm)],[4885, 4884])).
% 2.13/2.38 tff(4887,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[4886, 17, 234, 67, 3, 305, 4880])).
% 2.13/2.38 tff(4888,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), 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)))))))) | (~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)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.38 tff(4889,plain,
% 2.13/2.38 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[4888, 4868, 4854, 4850, 92, 498, 4866, 4856, 4840])).
% 2.13/2.38 tff(4890,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[777, 4856, 498, 66])).
% 2.13/2.38 tff(4891,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[1392, 4890])).
% 2.13/2.38 tff(4892,plain,
% 2.13/2.38 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[2229, 4891, 4854, 4850, 4840])).
% 2.13/2.38 tff(4893,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[538, 4892, 4889])).
% 2.13/2.38 tff(4894,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.38 tff(4895,plain,
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% 2.13/2.38 tff(4896,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[698, 4895])).
% 2.13/2.38 tff(4897,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[4618, 197, 4610, 66])).
% 2.13/2.38 tff(4898,plain,
% 2.13/2.38 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[1711, 4897])).
% 2.13/2.38 tff(4899,plain,
% 2.13/2.38 (~b(s(z), s(s(s(s(s(z))))))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[1748, 197, 168, 343])).
% 2.13/2.38 tff(4900,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[3202, 4899])).
% 2.13/2.38 tff(4901,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[4618, 197, 540, 66])).
% 2.13/2.38 tff(4902,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[1711, 4901])).
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% 2.13/2.38 tff(4904,plain,
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% 2.13/2.38 inference(rewrite,[status(thm)],[])).
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% 2.13/2.38 inference(monotonicity,[status(thm)],[4904])).
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% 2.13/2.38 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 2.13/2.38 tff(4909,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[4908, 17, 780, 3, 59, 65, 61])).
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% 2.13/2.38 tff(4911,plain,
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% 2.13/2.38 tff(4912,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.38 tff(4913,plain,
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% 2.13/2.38 tff(4914,plain,
% 2.13/2.38 (r(s(s(s(s(s(z))))), s(z))),
% 2.13/2.38 inference(unit_resolution,[status(thm)],[303, 4913])).
% 2.13/2.38 tff(4915,plain,
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% 2.13/2.38 tff(4916,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.38 tff(4917,plain,
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% 2.13/2.38 tff(4918,plain,
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% 2.13/2.38 inference(unit_resolution,[status(thm)],[232, 4917])).
% 2.13/2.38 tff(4919,plain,
% 2.13/2.38 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
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% 2.13/2.38 tff(4920,plain,
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% 2.13/2.38 tff(4921,plain,
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% 2.13/2.38 tff(4922,plain,
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% 2.13/2.38 tff(4923,plain,
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% 2.13/2.38 tff(4924,plain,
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% 2.13/2.38 tff(4925,plain,
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% 2.13/2.38 tff(4926,plain,
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% 2.13/2.38 tff(4927,plain,
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% 2.13/2.38 tff(4929,plain,
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% 2.13/2.38 tff(4932,plain,
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% 2.13/2.39 tff(4936,plain,
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% 2.13/2.39 inference(unit_resolution,[status(thm)],[232, 4935])).
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% 2.13/2.39 tff(4938,plain,
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% 2.13/2.39 tff(4939,plain,
% 2.13/2.39 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1228, 91, 168, 343])).
% 2.13/2.39 tff(4940,plain,
% 2.13/2.39 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1711, 4939])).
% 2.13/2.39 tff(4941,plain,
% 2.13/2.39 (~r(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1762, 4940, 2, 58])).
% 2.13/2.39 tff(4942,plain,
% 2.13/2.39 (b(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1392, 4941])).
% 2.13/2.39 tff(4943,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(4944,plain,
% 2.13/2.39 (((~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(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)), s(z))) | (~b(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))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(4945,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 2.13/2.39 inference(monotonicity,[status(thm)],[4944])).
% 2.13/2.39 tff(4946,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.13/2.39 inference(transitivity,[status(thm)],[4945, 4943])).
% 2.13/2.39 tff(4947,plain,
% 2.13/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.13/2.39 inference(quant_inst,[status(thm)],[])).
% 2.13/2.39 tff(4948,plain,
% 2.13/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.13/2.39 inference(modus_ponens,[status(thm)],[4947, 4946])).
% 2.13/2.39 tff(4949,plain,
% 2.13/2.39 ((~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4948, 102, 4610, 168, 343, 4])).
% 2.13/2.39 tff(4950,plain,
% 2.13/2.39 ($false),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4949, 4942, 4938])).
% 2.13/2.39 tff(4951,plain,((~b(s(z), 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(s(z)))))), z)) | (~r(z, s(s(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(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.39 tff(4952,plain,
% 2.13/2.39 (~b(s(z), s(s(s(s(s(z))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4951, 305, 343, 4, 2, 58, 64, 168])).
% 2.13/2.39 tff(4953,plain,
% 2.13/2.39 (r(s(z), s(s(s(s(s(z))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[3202, 4952])).
% 2.13/2.39 tff(4954,plain,
% 2.13/2.39 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[3487, 4953, 64, 305])).
% 2.13/2.39 tff(4955,plain,
% 2.13/2.39 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[165, 4954])).
% 2.13/2.39 tff(4956,plain,
% 2.13/2.39 ((~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4948, 102, 540, 168, 343, 4])).
% 2.13/2.39 tff(4957,plain,
% 2.13/2.39 (~b(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4956, 254])).
% 2.13/2.39 tff(4958,plain,
% 2.13/2.39 (r(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1392, 4957])).
% 2.13/2.39 tff(4959,plain,
% 2.13/2.39 (~b(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[2774, 254, 498, 125])).
% 2.13/2.39 tff(4960,plain,
% 2.13/2.39 (r(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[698, 4959])).
% 2.13/2.39 tff(4961,plain,
% 2.13/2.39 ($false),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1419, 4960, 4958, 59, 2])).
% 2.13/2.39 tff(4962,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.39 tff(4963,plain,
% 2.13/2.39 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4962, 4955, 2, 498, 59, 4610, 168, 343, 4])).
% 2.13/2.39 tff(4964,plain,
% 2.13/2.39 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[279, 4963])).
% 2.13/2.39 tff(4965,plain,
% 2.13/2.39 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[2782, 17, 58, 2, 4964, 305])).
% 2.13/2.39 tff(4966,plain,
% 2.13/2.39 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1711, 4965])).
% 2.13/2.39 tff(4967,plain,
% 2.13/2.39 (~b(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[3257, 4966, 168, 343])).
% 2.13/2.39 tff(4968,plain,
% 2.13/2.39 (r(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[698, 4967])).
% 2.13/2.39 tff(4969,plain,
% 2.13/2.39 (~b(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1321, 4966, 4610, 305, 4964, 498])).
% 2.13/2.39 tff(4970,plain,
% 2.13/2.39 (r(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1392, 4969])).
% 2.13/2.39 tff(4971,plain,
% 2.13/2.39 ($false),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1419, 4970, 4968, 59, 2])).
% 2.13/2.39 tff(4972,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(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)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.39 tff(4973,plain,
% 2.13/2.39 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4972, 1395, 2, 498, 168, 59, 58, 4934, 64])).
% 2.13/2.39 tff(4974,plain,
% 2.13/2.39 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[341, 4973])).
% 2.13/2.39 tff(4975,plain,
% 2.13/2.39 (~r(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1419, 65, 59, 2])).
% 2.13/2.39 tff(4976,plain,
% 2.13/2.39 (b(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[698, 4975])).
% 2.13/2.39 tff(4977,plain,
% 2.13/2.39 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1762, 65, 2, 58])).
% 2.13/2.39 tff(4978,plain,
% 2.13/2.39 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1711, 4977])).
% 2.13/2.39 tff(4979,plain,
% 2.13/2.39 ($false),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[3257, 4978, 4976, 168, 343])).
% 2.13/2.39 tff(4980,plain,((~r(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.39 tff(4981,plain,
% 2.13/2.39 (~r(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4980, 1395, 168, 2, 58, 59])).
% 2.13/2.39 tff(4982,plain,
% 2.13/2.39 (b(s(s(z)), z)),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1392, 4981])).
% 2.13/2.39 tff(4983,plain,
% 2.13/2.39 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4798, 4974, 4610, 4934])).
% 2.13/2.39 tff(4984,plain,
% 2.13/2.39 (r(z, s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[538, 4983])).
% 2.13/2.39 tff(4985,plain,
% 2.13/2.39 (~b(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[3257, 57, 168, 343])).
% 2.13/2.39 tff(4986,plain,
% 2.13/2.39 (~r(s(z), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1180, 57, 498, 2, 68, 1, 56, 58])).
% 2.13/2.39 tff(4987,plain,
% 2.13/2.39 ($false),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[698, 4986, 4985])).
% 2.13/2.39 tff(4988,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.13/2.39 tff(4989,plain,
% 2.13/2.39 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4988, 68, 2, 498, 4984, 4982, 58, 168, 1395])).
% 2.13/2.39 tff(4990,plain,
% 2.13/2.39 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1711, 4989])).
% 2.13/2.39 tff(4991,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(4992,plain,
% 2.13/2.39 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(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(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(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)))))))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(4993,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(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(X0, 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(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))))))))))),
% 2.13/2.39 inference(monotonicity,[status(thm)],[4992])).
% 2.13/2.39 tff(4994,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(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(X0, 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(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)))))))))),
% 2.13/2.39 inference(transitivity,[status(thm)],[4993, 4991])).
% 2.13/2.39 tff(4995,plain,
% 2.13/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(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)))),
% 2.13/2.39 inference(quant_inst,[status(thm)],[])).
% 2.13/2.39 tff(4996,plain,
% 2.13/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.13/2.39 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 2.13/2.39 tff(4997,plain,
% 2.13/2.39 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4996, 102, 4610, 4982, 4934, 4974])).
% 2.13/2.39 tff(4998,plain,
% 2.13/2.39 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[232, 4997])).
% 2.13/2.39 tff(4999,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), 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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(5000,plain,
% 2.13/2.39 (((~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(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(5001,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.13/2.39 inference(monotonicity,[status(thm)],[5000])).
% 2.13/2.39 tff(5002,plain,
% 2.13/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.13/2.39 inference(transitivity,[status(thm)],[5001, 4999])).
% 2.13/2.39 tff(5003,plain,
% 2.13/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.13/2.39 inference(quant_inst,[status(thm)],[])).
% 2.13/2.39 tff(5004,plain,
% 2.13/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.13/2.39 inference(modus_ponens,[status(thm)],[5003, 5002])).
% 2.13/2.39 tff(5005,plain,
% 2.13/2.39 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[5004, 102, 540, 56, 343, 2300, 3410])).
% 2.13/2.39 tff(5006,plain,
% 2.13/2.39 (r(s(s(s(s(z)))), s(s(z)))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[2048, 5005])).
% 2.13/2.39 tff(5007,plain,
% 2.13/2.39 (((~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(z)), 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))))))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(5008,plain,
% 2.13/2.39 (((~![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(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(z)), 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)))))))))),
% 2.13/2.39 inference(monotonicity,[status(thm)],[5007])).
% 2.13/2.39 tff(5009,plain,
% 2.13/2.39 (((~![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(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(z)), 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))))))))),
% 2.13/2.39 inference(transitivity,[status(thm)],[5008, 3023])).
% 2.13/2.39 tff(5010,plain,
% 2.13/2.39 ((~![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(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)))))),
% 2.13/2.39 inference(quant_inst,[status(thm)],[])).
% 2.13/2.39 tff(5011,plain,
% 2.13/2.39 ((~![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(z)), 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)))))))),
% 2.13/2.39 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 2.13/2.39 tff(5012,plain,
% 2.13/2.39 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[5011, 17, 3, 235, 5006])).
% 2.13/2.39 tff(5013,plain,
% 2.13/2.39 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 5012])).
% 2.13/2.39 tff(5014,plain,
% 2.13/2.39 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[4956, 56])).
% 2.13/2.39 tff(5015,plain,
% 2.13/2.39 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.13/2.39 inference(unit_resolution,[status(thm)],[279, 5014])).
% 2.13/2.39 tff(5016,plain,
% 2.13/2.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.13/2.39 inference(rewrite,[status(thm)],[])).
% 2.13/2.39 tff(5017,plain,
% 2.13/2.39 (((~r(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(z)))) | (~r(z, s(s(z)))) | (~r(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(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5018,plain,
% 2.23/2.40 (((~![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(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(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(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[5017])).
% 2.23/2.40 tff(5019,plain,
% 2.23/2.40 (((~![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(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(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(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[5018, 5016])).
% 2.23/2.40 tff(5020,plain,
% 2.23/2.40 ((~![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(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(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.23/2.40 inference(quant_inst,[status(thm)],[])).
% 2.23/2.40 tff(5021,plain,
% 2.23/2.40 ((~![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(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 2.23/2.40 tff(5022,plain,
% 2.23/2.40 (~r(z, s(s(s(s(z)))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[5021, 17, 2, 1, 5015, 5006])).
% 2.23/2.40 tff(5023,plain,
% 2.23/2.40 (b(z, s(s(s(s(z)))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[54, 5022])).
% 2.23/2.40 tff(5024,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(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(z)))), s(z))))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5025,plain,
% 2.23/2.40 (((~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(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(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(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))))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5026,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(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(z)))), s(z)))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[5025])).
% 2.23/2.40 tff(5027,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(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(z)))), s(z))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[5026, 5024])).
% 2.23/2.40 tff(5028,plain,
% 2.23/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.40 inference(quant_inst,[status(thm)],[])).
% 2.23/2.40 tff(5029,plain,
% 2.23/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), s(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(z)))), s(z)))),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 2.23/2.40 tff(5030,plain,
% 2.23/2.40 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[5029, 102, 540, 343, 4, 2300, 3410])).
% 2.23/2.40 tff(5031,plain,
% 2.23/2.40 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[2072, 5030])).
% 2.23/2.40 tff(5032,plain,
% 2.23/2.40 (((~![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(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(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(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(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5033,plain,
% 2.23/2.40 (((~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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5034,plain,
% 2.23/2.40 (((~![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(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(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(z)))), s(s(s(s(s(s(z))))))))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[5033])).
% 2.23/2.40 tff(5035,plain,
% 2.23/2.40 (((~![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(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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[5034, 5032])).
% 2.23/2.40 tff(5036,plain,
% 2.23/2.40 ((~![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(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)))))))),
% 2.23/2.40 inference(quant_inst,[status(thm)],[])).
% 2.23/2.40 tff(5037,plain,
% 2.23/2.40 ((~![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(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(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 2.23/2.40 tff(5038,plain,
% 2.23/2.40 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[5037, 17, 235, 5015, 64, 5031])).
% 2.23/2.40 tff(5039,plain,
% 2.23/2.40 (b(s(s(z)), s(s(s(s(z)))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3456, 5038, 3443])).
% 2.23/2.40 tff(5040,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5041,plain,
% 2.23/2.40 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(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(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(z))) | (~b(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(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5042,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[5041])).
% 2.23/2.40 tff(5043,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))) | (~b(s(s(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[5042, 5040])).
% 2.23/2.40 tff(5044,plain,
% 2.23/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))) | (~b(s(s(z)), z)))),
% 2.23/2.40 inference(quant_inst,[status(thm)],[])).
% 2.23/2.40 tff(5045,plain,
% 2.23/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 2.23/2.40 tff(5046,plain,
% 2.23/2.40 ($false),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[5045, 102, 56, 168, 343, 5039, 5023, 5013])).
% 2.23/2.40 tff(5047,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), 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(z)))) | (~r(z, s(s(z)))) | (~r(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(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.40 tff(5048,plain,
% 2.23/2.40 (~b(s(s(s(s(z)))), s(z))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[5047, 3410, 168, 343, 235, 64, 3, 2, 1, 540, 4, 56])).
% 2.23/2.40 tff(5049,plain,
% 2.23/2.40 (r(s(s(s(s(z)))), s(z))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[1573, 5048])).
% 2.23/2.40 tff(5050,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5051,plain,
% 2.23/2.40 (((~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(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.23/2.40 inference(rewrite,[status(thm)],[])).
% 2.23/2.40 tff(5052,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[5051])).
% 2.23/2.40 tff(5053,plain,
% 2.23/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.23/2.40 inference(transitivity,[status(thm)],[5052, 5050])).
% 2.23/2.40 tff(5054,plain,
% 2.23/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.23/2.40 inference(quant_inst,[status(thm)],[])).
% 2.23/2.40 tff(5055,plain,
% 2.23/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.23/2.41 inference(modus_ponens,[status(thm)],[5054, 5053])).
% 2.23/2.41 tff(5056,plain,
% 2.23/2.41 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5055, 102, 540, 56, 168, 343, 3410])).
% 2.23/2.41 tff(5057,plain,
% 2.23/2.41 (r(s(s(z)), s(s(s(s(z)))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[3456, 5056, 3443])).
% 2.23/2.41 tff(5058,plain,
% 2.23/2.41 (((~![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(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))))) <=> ((~![X0: $i, 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(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))))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5059,plain,
% 2.23/2.41 (((~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(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))))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5060,plain,
% 2.23/2.41 (((~![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(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(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)))))),
% 2.23/2.41 inference(monotonicity,[status(thm)],[5059])).
% 2.23/2.41 tff(5061,plain,
% 2.23/2.41 (((~![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(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(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))))),
% 2.23/2.41 inference(transitivity,[status(thm)],[5060, 5058])).
% 2.23/2.41 tff(5062,plain,
% 2.23/2.41 ((~![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(z, s(z))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(z)))))),
% 2.23/2.41 inference(quant_inst,[status(thm)],[])).
% 2.23/2.41 tff(5063,plain,
% 2.23/2.41 ((~![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(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)))),
% 2.23/2.41 inference(modus_ponens,[status(thm)],[5062, 5061])).
% 2.23/2.41 tff(5064,plain,
% 2.23/2.41 (~r(z, s(s(s(s(z)))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5063, 17, 68, 2, 5057, 5049])).
% 2.23/2.41 tff(5065,plain,
% 2.23/2.41 (b(z, s(s(s(s(z)))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[54, 5064])).
% 2.23/2.41 tff(5066,plain,
% 2.23/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, 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(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5067,plain,
% 2.23/2.41 (((~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(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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5068,plain,
% 2.23/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.23/2.41 inference(monotonicity,[status(thm)],[5067])).
% 2.23/2.41 tff(5069,plain,
% 2.23/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.23/2.41 inference(transitivity,[status(thm)],[5068, 5066])).
% 2.23/2.41 tff(5070,plain,
% 2.23/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.23/2.41 inference(quant_inst,[status(thm)],[])).
% 2.23/2.41 tff(5071,plain,
% 2.23/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.23/2.41 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 2.23/2.41 tff(5072,plain,
% 2.23/2.41 ($false),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5071, 102, 498, 56, 4, 5065, 3410])).
% 2.23/2.41 tff(5073,plain,((~b(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)) | (~r(z, s(z))) | (~r(z, 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(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(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.41 tff(5074,plain,
% 2.23/2.41 (~b(s(s(s(s(z)))), z)),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5073, 4990, 498, 4934, 68, 2, 4610, 168, 1395, 4982, 64, 4998, 4984])).
% 2.23/2.41 tff(5075,plain,
% 2.23/2.41 (r(s(s(s(s(z)))), z)),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[2083, 5074])).
% 2.23/2.41 tff(5076,plain,
% 2.23/2.41 (((~![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))))), z)) | (~r(s(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(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(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5077,plain,
% 2.23/2.41 (((~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), 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(s(s(s(s(s(z))))), z)) | (~r(s(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(s(z))))), s(s(s(s(z)))))))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5078,plain,
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% 2.23/2.41 inference(monotonicity,[status(thm)],[5077])).
% 2.23/2.41 tff(5079,plain,
% 2.23/2.41 (((~![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(z)))) | (~r(s(s(s(s(s(z))))), 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(s(s(s(s(s(z))))), z)) | (~r(s(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(s(z))))), s(s(s(s(z)))))))),
% 2.23/2.41 inference(transitivity,[status(thm)],[5078, 5076])).
% 2.23/2.41 tff(5080,plain,
% 2.23/2.41 ((~![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(z)))) | (~r(s(s(s(s(s(z))))), 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)))))))),
% 2.23/2.41 inference(quant_inst,[status(thm)],[])).
% 2.23/2.41 tff(5081,plain,
% 2.23/2.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))),
% 2.23/2.41 inference(modus_ponens,[status(thm)],[5080, 5079])).
% 2.23/2.41 tff(5082,plain,
% 2.23/2.41 ($false),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5081, 17, 58, 3, 2, 4318, 1537])).
% 2.23/2.41 tff(5083,plain,((~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(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.41 tff(5084,plain,
% 2.23/2.41 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5083, 5075, 2, 4990, 58])).
% 2.23/2.41 tff(5085,plain,
% 2.23/2.41 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[2114, 5084])).
% 2.23/2.41 tff(5086,assumption,(b(s(s(s(s(s(z))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.23/2.41 tff(5087,plain,
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% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5088,plain,
% 2.23/2.41 (((~b(s(s(z)), 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(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(z)), 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(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)))))))))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5089,plain,
% 2.23/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.23/2.41 inference(monotonicity,[status(thm)],[5088])).
% 2.23/2.41 tff(5090,plain,
% 2.23/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.41 inference(transitivity,[status(thm)],[5089, 5087])).
% 2.23/2.41 tff(5091,plain,
% 2.23/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.23/2.41 inference(quant_inst,[status(thm)],[])).
% 2.23/2.41 tff(5092,plain,
% 2.23/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.23/2.41 inference(modus_ponens,[status(thm)],[5091, 5090])).
% 2.23/2.41 tff(5093,plain,
% 2.23/2.41 ($false),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5092, 102, 498, 168, 343, 60, 5086, 3366])).
% 2.23/2.41 tff(5094,plain,((~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(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(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.41 tff(5095,plain,
% 2.23/2.41 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[5094, 5085, 168, 1395, 4974, 498])).
% 2.23/2.41 tff(5096,plain,
% 2.23/2.41 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.23/2.41 inference(unit_resolution,[status(thm)],[2072, 5095])).
% 2.23/2.41 tff(5097,plain,
% 2.23/2.41 (((~![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))))), 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(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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5098,plain,
% 2.23/2.41 (((~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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.41 inference(rewrite,[status(thm)],[])).
% 2.23/2.41 tff(5099,plain,
% 2.23/2.41 (((~![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))))), 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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.23/2.42 inference(monotonicity,[status(thm)],[5098])).
% 2.23/2.42 tff(5100,plain,
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% 2.23/2.42 inference(transitivity,[status(thm)],[5099, 5097])).
% 2.23/2.42 tff(5101,plain,
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% 2.23/2.42 inference(quant_inst,[status(thm)],[])).
% 2.23/2.42 tff(5102,plain,
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% 2.23/2.42 inference(modus_ponens,[status(thm)],[5101, 5100])).
% 2.23/2.42 tff(5103,plain,
% 2.23/2.42 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[5102, 17, 58, 64, 5075, 5096])).
% 2.23/2.42 tff(5104,plain,
% 2.23/2.42 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 5103])).
% 2.23/2.42 tff(5105,plain,
% 2.23/2.42 (~b(s(s(z)), z)),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[4949, 254])).
% 2.23/2.42 tff(5106,plain,
% 2.23/2.42 (r(s(s(z)), z)),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[1392, 5105])).
% 2.23/2.42 tff(5107,plain,
% 2.23/2.42 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[2442, 254, 498, 60])).
% 2.23/2.42 tff(5108,plain,
% 2.23/2.42 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[1711, 5107])).
% 2.23/2.42 tff(5109,plain,
% 2.23/2.42 ($false),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[1762, 5108, 5106, 2, 58])).
% 2.23/2.42 tff(5110,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(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(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(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.42 tff(5111,plain,
% 2.23/2.42 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[5110, 4974, 58, 498, 2, 168, 1395, 4934])).
% 2.23/2.42 tff(5112,plain,
% 2.23/2.42 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[279, 5111])).
% 2.23/2.42 tff(5113,plain,
% 2.23/2.42 (((~![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)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), 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(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.42 inference(rewrite,[status(thm)],[])).
% 2.23/2.42 tff(5114,plain,
% 2.23/2.42 (((~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(z, s(s(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(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.42 inference(rewrite,[status(thm)],[])).
% 2.23/2.42 tff(5115,plain,
% 2.23/2.42 (((~![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)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~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)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.23/2.42 inference(monotonicity,[status(thm)],[5114])).
% 2.23/2.42 tff(5116,plain,
% 2.23/2.42 (((~![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)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~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)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.42 inference(transitivity,[status(thm)],[5115, 5113])).
% 2.23/2.42 tff(5117,plain,
% 2.23/2.42 ((~![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)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 2.23/2.42 inference(quant_inst,[status(thm)],[])).
% 2.23/2.42 tff(5118,plain,
% 2.23/2.42 ((~![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)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.23/2.42 inference(modus_ponens,[status(thm)],[5117, 5116])).
% 2.23/2.42 tff(5119,plain,
% 2.23/2.42 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[5118, 17, 2, 62, 1537, 6])).
% 2.23/2.42 tff(5120,plain,
% 2.23/2.42 (b(s(s(s(s(z)))), s(s(z)))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[2048, 5119])).
% 2.23/2.42 tff(5121,plain,
% 2.23/2.42 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[5037, 17, 235, 62, 64, 6])).
% 2.23/2.42 tff(5122,plain,
% 2.23/2.42 (b(s(s(z)), s(s(s(s(z)))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[3456, 5121, 3443])).
% 2.23/2.42 tff(5123,plain,
% 2.23/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(z)))))))),
% 2.23/2.42 inference(rewrite,[status(thm)],[])).
% 2.23/2.42 tff(5124,plain,
% 2.23/2.42 (((~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(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(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(s(s(z)))))))),
% 2.23/2.42 inference(rewrite,[status(thm)],[])).
% 2.23/2.42 tff(5125,plain,
% 2.23/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(z))))))))),
% 2.23/2.42 inference(monotonicity,[status(thm)],[5124])).
% 2.23/2.42 tff(5126,plain,
% 2.23/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(z)))))))),
% 2.23/2.42 inference(transitivity,[status(thm)],[5125, 5123])).
% 2.23/2.42 tff(5127,plain,
% 2.23/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 2.23/2.42 inference(quant_inst,[status(thm)],[])).
% 2.23/2.42 tff(5128,plain,
% 2.23/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(z))))))),
% 2.23/2.42 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 2.23/2.42 tff(5129,plain,
% 2.23/2.42 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[5128, 102, 498, 5122, 5120])).
% 2.23/2.42 tff(5130,plain,
% 2.23/2.42 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 5129])).
% 2.23/2.42 tff(5131,plain,
% 2.23/2.42 (((~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)))))) | (~r(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(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.23/2.42 inference(rewrite,[status(thm)],[])).
% 2.23/2.42 tff(5132,plain,
% 2.23/2.42 (((~![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(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(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(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))))))))),
% 2.23/2.42 inference(monotonicity,[status(thm)],[5131])).
% 2.23/2.42 tff(5133,plain,
% 2.23/2.42 (((~![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(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(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(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)))))))),
% 2.23/2.42 inference(transitivity,[status(thm)],[5132, 2916])).
% 2.23/2.42 tff(5134,plain,
% 2.23/2.42 ((~![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(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(z, s(s(s(s(s(s(z)))))))))),
% 2.23/2.42 inference(quant_inst,[status(thm)],[])).
% 2.23/2.42 tff(5135,plain,
% 2.23/2.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))),
% 2.23/2.42 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 2.23/2.42 tff(5136,plain,
% 2.23/2.42 ($false),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[5135, 17, 1, 7, 6, 5130])).
% 2.23/2.42 tff(5137,plain,((~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)))))) | (~b(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(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.42 tff(5138,plain,
% 2.23/2.42 (~r(z, s(s(s(s(z)))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[5137, 5096, 4984, 498, 2, 5112, 5075, 4998, 64])).
% 2.23/2.42 tff(5139,plain,
% 2.23/2.42 (b(z, s(s(s(s(z)))))),
% 2.23/2.42 inference(unit_resolution,[status(thm)],[54, 5138])).
% 2.23/2.42 tff(5140,plain,
% 2.23/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), s(s(s(s(s(z))))))))),
% 2.23/2.42 inference(rewrite,[status(thm)],[])).
% 2.23/2.42 tff(5141,plain,
% 2.23/2.42 (((~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(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(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))))))))),
% 2.23/2.42 inference(rewrite,[status(thm)],[])).
% 2.23/2.42 tff(5142,plain,
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% 2.23/2.42 inference(monotonicity,[status(thm)],[5141])).
% 2.23/2.42 tff(5143,plain,
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% 2.23/2.42 inference(transitivity,[status(thm)],[5142, 5140])).
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% 2.23/2.42 inference(quant_inst,[status(thm)],[])).
% 2.23/2.42 tff(5145,plain,
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% 2.23/2.42 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 2.23/2.42 tff(5146,plain,
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% 2.23/2.42 inference(unit_resolution,[status(thm)],[5145, 102, 4610, 5085, 5139, 5104])).
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% 2.23/2.43 tff(5148,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[5147, 2, 64, 498, 58, 168, 59, 393])).
% 2.23/2.43 tff(5149,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[88, 5148])).
% 2.23/2.43 tff(5150,plain,
% 2.23/2.43 (~b(s(s(s(s(s(z))))), s(s(z)))),
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% 2.23/2.43 tff(5151,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[1711, 5150, 4977])).
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% 2.23/2.43 tff(5153,plain,
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% 2.23/2.43 tff(5154,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[1392, 5153])).
% 2.23/2.43 tff(5155,plain,
% 2.23/2.43 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[1384, 5154, 498, 4932, 58])).
% 2.23/2.43 tff(5156,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[1711, 5155])).
% 2.23/2.43 tff(5157,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[1728, 17, 58, 67, 5156, 59, 2])).
% 2.23/2.43 tff(5158,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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)))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.43 tff(5159,plain,
% 2.23/2.43 (~r(s(s(s(s(s(z))))), s(z))),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[5158, 2, 59, 58, 498, 168, 64, 393])).
% 2.23/2.43 tff(5160,plain,
% 2.23/2.43 (b(s(s(s(s(s(z))))), s(z))),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[303, 5159])).
% 2.23/2.43 tff(5161,plain,
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% 2.23/2.43 tff(5162,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[1392, 5161])).
% 2.23/2.43 tff(5163,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[755, 102, 56, 168, 343, 382, 91])).
% 2.23/2.43 tff(5164,plain,((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.43 tff(5165,plain,
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% 2.23/2.43 tff(5166,plain,
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[3202, 5165])).
% 2.23/2.43 tff(5167,plain,
% 2.23/2.43 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[4632, 17, 58, 59, 64, 5166])).
% 2.23/2.43 tff(5168,plain,
% 2.23/2.43 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[165, 5167])).
% 2.23/2.43 tff(5169,plain,
% 2.23/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.43 inference(rewrite,[status(thm)],[])).
% 2.23/2.43 tff(5170,plain,
% 2.23/2.43 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(z)), 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(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.43 inference(rewrite,[status(thm)],[])).
% 2.23/2.43 tff(5171,plain,
% 2.23/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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(X0, 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(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(z), s(s(s(s(s(s(z))))))))))),
% 2.23/2.43 inference(monotonicity,[status(thm)],[5170])).
% 2.23/2.43 tff(5172,plain,
% 2.23/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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(X0, 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(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(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.43 inference(transitivity,[status(thm)],[5171, 5169])).
% 2.23/2.43 tff(5173,plain,
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% 2.23/2.43 inference(quant_inst,[status(thm)],[])).
% 2.23/2.43 tff(5174,plain,
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% 2.23/2.43 inference(modus_ponens,[status(thm)],[5173, 5172])).
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% 2.23/2.43 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[5174, 102, 498, 168, 5160, 5168])).
% 2.23/2.43 tff(5176,plain,
% 2.23/2.43 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[341, 5175])).
% 2.23/2.43 tff(5177,plain,
% 2.23/2.43 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.23/2.43 inference(unit_resolution,[status(thm)],[4972, 5176, 2, 498, 168, 59, 58, 5160, 64])).
% 2.23/2.43 tff(5178,plain,
% 2.23/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(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(X0, 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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.43 inference(rewrite,[status(thm)],[])).
% 2.23/2.43 tff(5179,plain,
% 2.23/2.43 (((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.43 inference(rewrite,[status(thm)],[])).
% 2.23/2.43 tff(5180,plain,
% 2.23/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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(X0, 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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.23/2.43 inference(monotonicity,[status(thm)],[5179])).
% 2.23/2.43 tff(5181,plain,
% 2.23/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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(X0, 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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.43 inference(transitivity,[status(thm)],[5180, 5178])).
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[538, 5184])).
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[252, 5186, 5177])).
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% 2.23/2.43 inference(unit_resolution,[status(thm)],[1983, 5198, 498, 5190])).
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% 2.23/2.43 inference(monotonicity,[status(thm)],[5210])).
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% 2.23/2.43 tff(5230,plain,
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% 2.23/2.44 tff(5233,plain,
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% 2.23/2.44 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
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% 2.23/2.44 inference(transitivity,[status(thm)],[5311, 5309])).
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[4633, 5320])).
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[165, 5321])).
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% 2.23/2.44 tff(5325,plain,
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% 2.23/2.44 tff(5326,plain,
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[279, 5325])).
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[341, 5327])).
% 2.23/2.44 tff(5329,plain,
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[3737, 5322, 425, 5328])).
% 2.23/2.44 tff(5330,plain,
% 2.23/2.44 (r(s(s(s(s(s(z))))), s(z))),
% 2.23/2.44 inference(unit_resolution,[status(thm)],[303, 5329])).
% 2.23/2.44 tff(5331,plain,
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[76, 5330, 5324, 58, 59])).
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% 2.23/2.44 tff(5333,plain,
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% 2.23/2.44 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.44 inference(unit_resolution,[status(thm)],[3737, 5341, 5272, 5336])).
% 2.23/2.44 tff(5343,plain,
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[165, 5342])).
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% 2.23/2.44 (((~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(z))))))) | (~b(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(z))))) <=> ((~b(s(s(z)), 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(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
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% 2.23/2.44 tff(5348,plain,
% 2.23/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))))))),
% 2.23/2.44 inference(monotonicity,[status(thm)],[5347])).
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% 2.23/2.44 inference(transitivity,[status(thm)],[5348, 5346])).
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% 2.23/2.44 inference(modus_ponens,[status(thm)],[5350, 5349])).
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% 2.23/2.44 tff(5354,plain,
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% 2.23/2.44 tff(5355,plain,
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% 2.23/2.44 inference(unit_resolution,[status(thm)],[538, 5354])).
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% 2.23/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.45 inference(rewrite,[status(thm)],[])).
% 2.23/2.45 tff(5357,plain,
% 2.23/2.45 (((~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(z)), 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(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(s(s(z)))))))))),
% 2.23/2.45 inference(rewrite,[status(thm)],[])).
% 2.23/2.45 tff(5358,plain,
% 2.23/2.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.23/2.45 inference(monotonicity,[status(thm)],[5357])).
% 2.23/2.45 tff(5359,plain,
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% 2.23/2.45 inference(transitivity,[status(thm)],[5358, 5356])).
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% 2.23/2.45 inference(quant_inst,[status(thm)],[])).
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% 2.23/2.45 inference(modus_ponens,[status(thm)],[5360, 5359])).
% 2.23/2.45 tff(5362,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[5457, 4, 57, 498, 58, 64, 59])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[303, 5458])).
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% 2.23/2.45 tff(5461,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[279, 5460])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[1886, 5461, 59, 5459, 91, 5445, 58])).
% 2.23/2.45 tff(5463,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[538, 5462])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[4798, 5463, 4610, 4])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[341, 5464])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[313, 5465, 64, 5461])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[232, 5466])).
% 2.23/2.45 tff(5468,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[1738, 5467, 5459, 91])).
% 2.23/2.45 tff(5469,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[698, 5468])).
% 2.23/2.45 tff(5470,plain,
% 2.23/2.45 (~b(z, s(s(z)))),
% 2.23/2.45 inference(unit_resolution,[status(thm)],[4618, 5467, 4610, 57])).
% 2.23/2.45 tff(5471,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[122, 5470])).
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% 2.23/2.45 tff(5474,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[4633, 5475])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[165, 5476])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[1403, 65, 59, 234])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[88, 5478])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[455, 5479, 4, 125])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[538, 5480])).
% 2.23/2.45 tff(5482,plain,
% 2.23/2.45 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.45 inference(unit_resolution,[status(thm)],[1695, 5479, 125, 4])).
% 2.23/2.45 tff(5483,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[409, 5482])).
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% 2.23/2.45 inference(rewrite,[status(thm)],[])).
% 2.23/2.45 tff(5485,plain,
% 2.23/2.45 (((~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)), s(z))) | (~r(s(s(z)), z)) | (~r(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(s(s(z)))))))))),
% 2.23/2.45 inference(rewrite,[status(thm)],[])).
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% 2.23/2.45 (((~![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(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)), s(z))) | (~r(s(s(z)), z)) | (~r(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(s(s(z))))))))))),
% 2.23/2.45 inference(monotonicity,[status(thm)],[5485])).
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% 2.23/2.45 inference(transitivity,[status(thm)],[5486, 5484])).
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% 2.23/2.45 inference(modus_ponens,[status(thm)],[5488, 5487])).
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% 2.23/2.45 tff(5491,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[279, 5490])).
% 2.23/2.45 tff(5492,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[1462, 5491, 498, 4])).
% 2.23/2.45 tff(5493,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[122, 5492])).
% 2.23/2.45 tff(5494,plain,
% 2.23/2.45 (~b(s(z), s(s(z)))),
% 2.23/2.45 inference(unit_resolution,[status(thm)],[2774, 5491, 498, 125])).
% 2.23/2.45 tff(5495,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[698, 5494])).
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[1419, 5495, 5493, 59, 65])).
% 2.23/2.45 tff(5497,plain,((~r(s(s(z)), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), 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(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.45 tff(5498,plain,
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% 2.23/2.45 tff(5500,plain,
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% 2.23/2.45 tff(5501,plain,((~b(s(s(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(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.45 tff(5502,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[5501, 57, 498, 59, 58, 64])).
% 2.23/2.45 tff(5503,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[252, 5502])).
% 2.23/2.45 tff(5504,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[2713, 5438, 5503, 5420])).
% 2.23/2.45 tff(5505,plain,
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% 2.23/2.45 inference(unit_resolution,[status(thm)],[538, 5504])).
% 2.23/2.45 tff(5506,plain,
% 2.23/2.45 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.45 inference(unit_resolution,[status(thm)],[433, 5505, 5443, 5436])).
% 2.23/2.45 tff(5507,plain,
% 2.23/2.45 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.45 inference(unit_resolution,[status(thm)],[409, 5506])).
% 2.23/2.45 tff(5508,plain,
% 2.23/2.45 (~r(s(s(s(s(s(z))))), s(z))),
% 2.23/2.45 inference(unit_resolution,[status(thm)],[4153, 5507, 64, 5434])).
% 2.23/2.45 tff(5509,plain,
% 2.23/2.45 (b(s(s(s(s(s(z))))), s(z))),
% 2.23/2.45 inference(unit_resolution,[status(thm)],[303, 5508])).
% 2.23/2.45 tff(5510,plain,
% 2.23/2.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.23/2.45 inference(rewrite,[status(thm)],[])).
% 2.23/2.45 tff(5511,plain,
% 2.23/2.45 (((~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(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(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)))))),
% 2.23/2.45 inference(rewrite,[status(thm)],[])).
% 2.23/2.45 tff(5512,plain,
% 2.23/2.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 2.23/2.46 inference(monotonicity,[status(thm)],[5511])).
% 2.23/2.46 tff(5513,plain,
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% 2.23/2.46 inference(transitivity,[status(thm)],[5512, 5510])).
% 2.23/2.46 tff(5514,plain,
% 2.23/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.23/2.46 inference(quant_inst,[status(thm)],[])).
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% 2.23/2.46 inference(monotonicity,[status(thm)],[5523])).
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% 2.23/2.46 inference(modus_ponens,[status(thm)],[5526, 5525])).
% 2.23/2.46 tff(5528,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[5527, 17, 58, 393, 63, 64, 61])).
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% 2.23/2.46 tff(5530,plain,
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% 2.23/2.46 tff(5531,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[409, 5530])).
% 2.23/2.46 tff(5532,plain,
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% 2.23/2.46 tff(5533,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[341, 5532])).
% 2.23/2.46 tff(5534,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[2165, 5533, 58, 3, 63])).
% 2.23/2.46 tff(5535,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[3956, 5533, 58, 498, 63, 3])).
% 2.23/2.46 tff(5536,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[279, 5535, 5534])).
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% 2.23/2.46 tff(5538,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[5537, 4635, 498, 5519, 5521, 58, 64, 61])).
% 2.23/2.46 tff(5539,plain,
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% 2.23/2.46 tff(5541,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[122, 5540])).
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% 2.23/2.46 tff(5543,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[409, 5542])).
% 2.23/2.46 tff(5544,plain,
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% 2.23/2.46 inference(unit_resolution,[status(thm)],[313, 235, 64, 62])).
% 2.23/2.46 tff(5545,plain,
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% 2.23/2.46 tff(5548,plain,
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% 2.23/2.46 tff(5549,plain,
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% 2.23/2.46 tff(5550,plain,
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% 2.23/2.46 tff(5552,plain,
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% 2.23/2.46 tff(5553,plain,
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% 2.23/2.46 tff(5554,plain,
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% 2.23/2.46 tff(5555,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.46 tff(5556,plain,
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% 2.23/2.46 tff(5557,plain,
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% 2.23/2.46 tff(5558,plain,
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% 2.23/2.46 tff(5559,plain,
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% 2.23/2.46 tff(5561,plain,
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% 2.23/2.46 inference(rewrite,[status(thm)],[])).
% 2.23/2.46 tff(5563,plain,
% 2.23/2.46 (((~b(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(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(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(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.46 inference(rewrite,[status(thm)],[])).
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% 2.23/2.46 inference(monotonicity,[status(thm)],[5563])).
% 2.23/2.46 tff(5565,plain,
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% 2.23/2.46 inference(transitivity,[status(thm)],[5564, 5562])).
% 2.23/2.46 tff(5566,plain,
% 2.23/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 2.23/2.46 inference(quant_inst,[status(thm)],[])).
% 2.23/2.46 tff(5567,plain,
% 2.23/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.23/2.46 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 2.23/2.46 tff(5568,plain,
% 2.23/2.46 ($false),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[5567, 102, 4610, 56, 5521, 5557, 5561, 4635])).
% 2.23/2.46 tff(5569,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(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(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.46 tff(5570,plain,
% 2.23/2.46 (~r(s(z), s(s(s(s(s(z))))))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[5569, 56, 498, 58, 64, 59])).
% 2.23/2.46 tff(5571,plain,
% 2.23/2.46 (b(s(z), s(s(s(s(s(z))))))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[3202, 5570])).
% 2.23/2.46 tff(5572,plain,
% 2.23/2.46 (~r(s(s(s(s(s(z))))), s(z))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[1823, 3, 58, 59, 234])).
% 2.23/2.46 tff(5573,plain,
% 2.23/2.46 (b(s(s(s(s(s(z))))), s(z))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[303, 5572])).
% 2.23/2.46 tff(5574,plain,
% 2.23/2.46 (((~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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, 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), s(s(s(s(s(z))))))))),
% 2.23/2.46 inference(rewrite,[status(thm)],[])).
% 2.23/2.46 tff(5575,plain,
% 2.23/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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), s(s(s(s(s(z)))))))))),
% 2.23/2.46 inference(monotonicity,[status(thm)],[5574])).
% 2.23/2.46 tff(5576,plain,
% 2.23/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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), s(s(s(s(s(z))))))))),
% 2.23/2.46 inference(transitivity,[status(thm)],[5575, 1235])).
% 2.23/2.46 tff(5577,plain,
% 2.23/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))),
% 2.23/2.46 inference(quant_inst,[status(thm)],[])).
% 2.23/2.46 tff(5578,plain,
% 2.23/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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), s(s(s(s(s(z)))))))),
% 2.23/2.46 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 2.23/2.46 tff(5579,plain,
% 2.23/2.46 (~b(z, s(z))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[5578, 102, 4610, 5573, 91])).
% 2.23/2.46 tff(5580,plain,
% 2.23/2.46 (r(z, s(z))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[88, 5579])).
% 2.23/2.46 tff(5581,plain,
% 2.23/2.46 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[3956, 63, 58, 498, 254, 3])).
% 2.23/2.46 tff(5582,plain,
% 2.23/2.46 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.46 inference(unit_resolution,[status(thm)],[341, 5581])).
% 2.23/2.46 tff(5583,plain,
% 2.23/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))) | (~b(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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))) | (~b(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(s(z)))))))))),
% 2.23/2.46 inference(rewrite,[status(thm)],[])).
% 2.23/2.46 tff(5584,plain,
% 2.23/2.46 (((~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(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(s(z)))))), 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(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.23/2.46 inference(rewrite,[status(thm)],[])).
% 2.23/2.46 tff(5585,plain,
% 2.23/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))) | (~b(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(s(z))))))))))),
% 2.23/2.46 inference(monotonicity,[status(thm)],[5584])).
% 2.23/2.46 tff(5586,plain,
% 2.23/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))) | (~b(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(s(z)))))))))),
% 2.23/2.46 inference(transitivity,[status(thm)],[5585, 5583])).
% 2.23/2.46 tff(5587,plain,
% 2.23/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.23/2.47 inference(quant_inst,[status(thm)],[])).
% 2.23/2.47 tff(5588,plain,
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% 2.23/2.47 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 2.23/2.47 tff(5589,plain,
% 2.23/2.47 ($false),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[5588, 102, 4610, 498, 1922, 254, 5582])).
% 2.23/2.47 tff(5590,plain,((~r(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(s(z)))))))) | (~r(s(z), z)) | (~r(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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.47 tff(5591,plain,
% 2.23/2.47 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[5590, 167, 254, 59, 498, 58, 3])).
% 2.23/2.47 tff(5592,plain,
% 2.23/2.47 (b(s(s(s(s(s(s(z)))))), z)),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[252, 5591])).
% 2.23/2.47 tff(5593,plain,
% 2.23/2.47 (~b(z, s(s(z)))),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[777, 5592, 498, 56])).
% 2.23/2.47 tff(5594,plain,
% 2.23/2.47 (r(z, s(s(z)))),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[122, 5593])).
% 2.23/2.47 tff(5595,plain,
% 2.23/2.47 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[262, 5592, 56, 254])).
% 2.23/2.47 tff(5596,plain,
% 2.23/2.47 (r(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[538, 5595])).
% 2.23/2.47 tff(5597,plain,
% 2.23/2.47 ($false),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[578, 5596, 5594, 234, 68, 167])).
% 2.23/2.47 tff(5598,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~b(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)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.47 tff(5599,plain,
% 2.23/2.47 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[5598, 254, 5580, 56, 234, 498, 59, 58, 3])).
% 2.23/2.47 tff(5600,plain,
% 2.23/2.47 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.47 inference(unit_resolution,[status(thm)],[165, 5599])).
% 2.23/2.47 tff(5601,plain,
% 2.23/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.23/2.47 inference(rewrite,[status(thm)],[])).
% 2.23/2.47 tff(5602,plain,
% 2.23/2.47 (((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(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(z), s(s(z)))) | (~b(z, 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)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.23/2.47 inference(rewrite,[status(thm)],[])).
% 2.23/2.47 tff(5603,plain,
% 2.23/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 2.23/2.47 inference(monotonicity,[status(thm)],[5602])).
% 2.23/2.47 tff(5604,plain,
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% 2.23/2.47 inference(modus_ponens,[status(thm)],[5605, 5604])).
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[122, 5610])).
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[1930, 5613, 59, 5580])).
% 2.23/2.47 tff(5615,plain,
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[409, 5614])).
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[3956, 5613, 58, 498, 254, 3])).
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% 2.23/2.47 tff(5620,plain,
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[279, 5620])).
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[5578, 102, 4610, 343, 91])).
% 2.23/2.47 tff(5623,plain,
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[88, 5622])).
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[1930, 63, 59, 5623])).
% 2.23/2.47 tff(5625,plain,
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% 2.23/2.47 inference(unit_resolution,[status(thm)],[409, 5624])).
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% 2.23/2.47 tff(5628,plain,
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% 2.23/2.47 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(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(s(z)))))), 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(z))))), s(s(z)))))),
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% 2.23/2.47 inference(monotonicity,[status(thm)],[5694])).
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% 2.23/2.48 inference(transitivity,[status(thm)],[5695, 5693])).
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% 2.23/2.48 inference(modus_ponens,[status(thm)],[5697, 5696])).
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% 2.23/2.48 tff(5700,plain,((~b(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)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.48 tff(5701,plain,
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% 2.23/2.48 tff(5702,plain,
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% 2.23/2.48 inference(unit_resolution,[status(thm)],[4787, 5701])).
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% 2.23/2.48 (((~b(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(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)))))))))),
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% 2.23/2.48 inference(monotonicity,[status(thm)],[5703])).
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% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))))))),
% 2.23/2.48 inference(transitivity,[status(thm)],[5704, 700])).
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% 2.23/2.48 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 2.23/2.48 tff(5708,plain,
% 2.23/2.48 (~b(s(s(z)), z)),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[5707, 102, 66, 4, 254])).
% 2.23/2.48 tff(5709,plain,
% 2.23/2.48 (r(s(s(z)), z)),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[1392, 5708])).
% 2.23/2.48 tff(5710,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), z)) | (~b(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(X0, 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(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.23/2.48 inference(rewrite,[status(thm)],[])).
% 2.23/2.48 tff(5711,plain,
% 2.23/2.48 (((~b(z, s(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(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(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)))))))))),
% 2.23/2.48 inference(rewrite,[status(thm)],[])).
% 2.23/2.48 tff(5712,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.23/2.48 inference(monotonicity,[status(thm)],[5711])).
% 2.23/2.48 tff(5713,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.23/2.48 inference(transitivity,[status(thm)],[5712, 5710])).
% 2.23/2.48 tff(5714,plain,
% 2.23/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.23/2.48 inference(quant_inst,[status(thm)],[])).
% 2.23/2.48 tff(5715,plain,
% 2.23/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.23/2.48 inference(modus_ponens,[status(thm)],[5714, 5713])).
% 2.23/2.48 tff(5716,plain,
% 2.23/2.48 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[5715, 102, 540, 66, 4, 254])).
% 2.23/2.48 tff(5717,plain,
% 2.23/2.48 (r(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[538, 5716])).
% 2.23/2.48 tff(5718,plain,
% 2.23/2.48 (~b(s(z), z)),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[2946, 254, 66, 4, 92])).
% 2.23/2.48 tff(5719,plain,
% 2.23/2.48 (r(s(z), z)),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[380, 5718])).
% 2.23/2.48 tff(5720,plain,
% 2.23/2.48 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[4618, 197, 66, 540])).
% 2.23/2.48 tff(5721,plain,
% 2.23/2.48 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[1711, 5720])).
% 2.23/2.48 tff(5722,plain,
% 2.23/2.48 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[2229, 5721, 5717, 5709, 58])).
% 2.23/2.48 tff(5723,plain,
% 2.23/2.48 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[341, 5722])).
% 2.23/2.48 tff(5724,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), z)) | (~b(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(X0, 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(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.48 inference(rewrite,[status(thm)],[])).
% 2.23/2.48 tff(5725,plain,
% 2.23/2.48 (((~b(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)))))), 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(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)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.48 inference(rewrite,[status(thm)],[])).
% 2.23/2.48 tff(5726,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.23/2.48 inference(monotonicity,[status(thm)],[5725])).
% 2.23/2.48 tff(5727,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.23/2.48 inference(transitivity,[status(thm)],[5726, 5724])).
% 2.23/2.48 tff(5728,plain,
% 2.23/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.23/2.48 inference(quant_inst,[status(thm)],[])).
% 2.23/2.48 tff(5729,plain,
% 2.23/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.23/2.48 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 2.23/2.48 tff(5730,plain,
% 2.23/2.48 ($false),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[5729, 102, 540, 4, 254, 5723, 197])).
% 2.23/2.48 tff(5731,plain,((~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)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.48 tff(5732,plain,
% 2.23/2.48 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[5731, 254, 4, 540, 5702, 66])).
% 2.23/2.48 tff(5733,plain,
% 2.23/2.48 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[232, 5732])).
% 2.23/2.48 tff(5734,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.48 inference(rewrite,[status(thm)],[])).
% 2.23/2.48 tff(5735,plain,
% 2.23/2.48 (((~b(z, s(s(z)))) | (~b(s(z), 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(z, s(s(z)))) | (~b(s(z), 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)))))))))),
% 2.23/2.48 inference(rewrite,[status(thm)],[])).
% 2.23/2.48 tff(5736,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.23/2.48 inference(monotonicity,[status(thm)],[5735])).
% 2.23/2.48 tff(5737,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.23/2.48 inference(transitivity,[status(thm)],[5736, 5734])).
% 2.23/2.48 tff(5738,plain,
% 2.23/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.23/2.48 inference(quant_inst,[status(thm)],[])).
% 2.23/2.48 tff(5739,plain,
% 2.23/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.23/2.48 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 2.23/2.48 tff(5740,plain,
% 2.23/2.48 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[5739, 102, 92, 66, 4, 254])).
% 2.23/2.48 tff(5741,plain,
% 2.23/2.48 ((s(z) = s(s(s(s(s(s(z))))))) | r(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[163, 49, 5740])).
% 2.23/2.48 tff(5742,plain,
% 2.23/2.48 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[5741, 4645])).
% 2.23/2.48 tff(5743,plain,
% 2.23/2.48 (~r(z, s(z))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[2293, 234, 58, 235, 65])).
% 2.23/2.48 tff(5744,plain,
% 2.23/2.48 (b(z, s(z))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[88, 5743])).
% 2.23/2.48 tff(5745,plain,
% 2.23/2.48 (~r(s(s(s(s(s(z))))), s(z))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[1433, 234, 235, 59, 65])).
% 2.23/2.48 tff(5746,plain,
% 2.23/2.48 (b(s(s(s(s(s(z))))), s(z))),
% 2.23/2.48 inference(unit_resolution,[status(thm)],[303, 5745])).
% 2.23/2.48 tff(5747,plain,
% 2.23/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5748,plain,
% 2.23/2.49 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(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(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5749,plain,
% 2.23/2.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 2.23/2.49 inference(monotonicity,[status(thm)],[5748])).
% 2.23/2.49 tff(5750,plain,
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% 2.23/2.49 inference(transitivity,[status(thm)],[5749, 5747])).
% 2.23/2.49 tff(5751,plain,
% 2.23/2.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.23/2.49 inference(quant_inst,[status(thm)],[])).
% 2.23/2.49 tff(5752,plain,
% 2.23/2.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 2.23/2.49 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 2.23/2.49 tff(5753,plain,
% 2.23/2.49 ($false),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5752, 102, 540, 343, 382, 363])).
% 2.23/2.49 tff(5754,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.49 tff(5755,plain,
% 2.23/2.49 (~b(s(z), z)),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5754, 343, 540, 382])).
% 2.23/2.49 tff(5756,plain,
% 2.23/2.49 (r(s(z), z)),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[380, 5755])).
% 2.23/2.49 tff(5757,plain,
% 2.23/2.49 (((~![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), z)) | (~r(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), s(s(s(s(s(z))))))))) <=> ((~![X0: $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(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))))))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5758,plain,
% 2.23/2.49 (((~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(s(z), z)) | (~r(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), s(s(s(s(s(z))))))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5759,plain,
% 2.23/2.49 (((~![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(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(s(z), z)) | (~r(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), s(s(s(s(s(z)))))))))),
% 2.23/2.49 inference(monotonicity,[status(thm)],[5758])).
% 2.23/2.49 tff(5760,plain,
% 2.23/2.49 (((~![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(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(s(z), z)) | (~r(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), s(s(s(s(s(z))))))))),
% 2.23/2.49 inference(transitivity,[status(thm)],[5759, 5757])).
% 2.23/2.49 tff(5761,plain,
% 2.23/2.49 ((~![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(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))))))))),
% 2.23/2.49 inference(quant_inst,[status(thm)],[])).
% 2.23/2.49 tff(5762,plain,
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% 2.23/2.49 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 2.23/2.49 tff(5763,plain,
% 2.23/2.49 ((~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5762, 17, 58, 1, 167])).
% 2.23/2.49 tff(5764,plain,
% 2.23/2.49 (~r(s(z), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5763, 5756])).
% 2.23/2.49 tff(5765,plain,
% 2.23/2.49 (b(s(z), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[3202, 5764])).
% 2.23/2.49 tff(5766,plain,
% 2.23/2.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5767,plain,
% 2.23/2.49 (((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))) <=> ((~b(z, s(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(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5768,plain,
% 2.23/2.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), 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(X0, 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(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)))))))))),
% 2.23/2.49 inference(monotonicity,[status(thm)],[5767])).
% 2.23/2.49 tff(5769,plain,
% 2.23/2.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), 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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.23/2.49 inference(transitivity,[status(thm)],[5768, 5766])).
% 2.23/2.49 tff(5770,plain,
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% 2.23/2.49 inference(quant_inst,[status(thm)],[])).
% 2.23/2.49 tff(5771,plain,
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% 2.23/2.49 inference(modus_ponens,[status(thm)],[5770, 5769])).
% 2.23/2.49 tff(5772,plain,
% 2.23/2.49 ($false),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5771, 102, 92, 540, 66, 343, 382, 5765])).
% 2.23/2.49 tff(5773,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~r(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))))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.49 tff(5774,plain,
% 2.23/2.49 ($false),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5773, 5746, 5744, 540, 66, 92, 58, 1, 167])).
% 2.23/2.49 tff(5775,plain,((~r(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~r(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(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.49 tff(5776,plain,
% 2.23/2.49 (~r(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5775, 5702, 66, 92, 540, 5717, 5742, 5733, 5719, 5709])).
% 2.23/2.49 tff(5777,plain,
% 2.23/2.49 (b(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[195, 5776])).
% 2.23/2.49 tff(5778,plain,
% 2.23/2.49 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5666, 5777, 540, 66, 92])).
% 2.23/2.49 tff(5779,plain,
% 2.23/2.49 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1711, 5778])).
% 2.23/2.49 tff(5780,plain,
% 2.23/2.49 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[2229, 5779, 5717, 5709, 5702])).
% 2.23/2.49 tff(5781,plain,
% 2.23/2.49 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[341, 5780])).
% 2.23/2.49 tff(5782,plain,
% 2.23/2.49 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1910, 5779, 5688, 5733])).
% 2.23/2.49 tff(5783,plain,
% 2.23/2.49 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[361, 5782])).
% 2.23/2.49 tff(5784,plain,
% 2.23/2.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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))))))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5785,plain,
% 2.23/2.49 (((~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(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(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(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.23/2.49 inference(rewrite,[status(thm)],[])).
% 2.23/2.49 tff(5786,plain,
% 2.23/2.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.23/2.49 inference(monotonicity,[status(thm)],[5785])).
% 2.23/2.49 tff(5787,plain,
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% 2.23/2.49 inference(transitivity,[status(thm)],[5786, 5784])).
% 2.23/2.49 tff(5788,plain,
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% 2.23/2.49 inference(quant_inst,[status(thm)],[])).
% 2.23/2.49 tff(5789,plain,
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% 2.23/2.49 inference(modus_ponens,[status(thm)],[5788, 5787])).
% 2.23/2.49 tff(5790,plain,
% 2.23/2.49 ($false),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5789, 102, 540, 4, 5783, 5781])).
% 2.23/2.49 tff(5791,plain,((~b(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)) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.49 tff(5792,plain,
% 2.23/2.49 (~b(s(z), s(s(z)))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5791, 5686, 4610, 66, 4])).
% 2.23/2.49 tff(5793,plain,
% 2.23/2.49 (r(s(z), s(s(z)))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[698, 5792])).
% 2.23/2.49 tff(5794,plain,
% 2.23/2.49 (~b(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1228, 91, 57, 343])).
% 2.23/2.49 tff(5795,plain,
% 2.23/2.49 (r(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[195, 5794])).
% 2.23/2.49 tff(5796,plain,
% 2.23/2.49 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[856, 5795, 5, 780])).
% 2.23/2.49 tff(5797,plain,
% 2.23/2.49 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1685, 17, 780, 5, 59, 65])).
% 2.23/2.49 tff(5798,plain,
% 2.23/2.49 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[165, 5797])).
% 2.23/2.49 tff(5799,plain,
% 2.23/2.49 (~r(z, s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1407, 91, 59, 65, 57, 58])).
% 2.23/2.49 tff(5800,plain,
% 2.23/2.49 (b(z, s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[88, 5799])).
% 2.23/2.49 tff(5801,plain,
% 2.23/2.49 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1695, 5800, 4, 5798])).
% 2.23/2.49 tff(5802,plain,
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% 2.23/2.49 inference(unit_resolution,[status(thm)],[409, 5801, 5796])).
% 2.23/2.49 tff(5803,plain,((~b(s(z), 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(z)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.49 tff(5804,plain,
% 2.23/2.49 (~b(s(z), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5803, 4, 5658, 5793, 59, 65, 57, 58, 5678])).
% 2.23/2.49 tff(5805,plain,
% 2.23/2.49 (r(s(z), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[3202, 5804])).
% 2.23/2.49 tff(5806,plain,
% 2.23/2.49 ($false),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5214, 17, 5793, 58, 4620, 59, 5805])).
% 2.23/2.49 tff(5807,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.49 tff(5808,plain,
% 2.23/2.49 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5807, 66, 59, 65, 57, 58, 64])).
% 2.23/2.49 tff(5809,plain,
% 2.23/2.49 (r(s(s(s(s(s(s(z)))))), z)),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[252, 5808])).
% 2.23/2.49 tff(5810,plain,
% 2.23/2.49 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[2454, 17, 58, 4620, 65, 64])).
% 2.23/2.49 tff(5811,plain,
% 2.23/2.49 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[279, 5810])).
% 2.23/2.49 tff(5812,plain,
% 2.23/2.49 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5529, 61, 58, 64, 63])).
% 2.23/2.49 tff(5813,plain,
% 2.23/2.49 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[409, 5812])).
% 2.23/2.49 tff(5814,plain,
% 2.23/2.49 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[3737, 5813, 343, 4635])).
% 2.23/2.49 tff(5815,plain,
% 2.23/2.49 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[341, 5814])).
% 2.23/2.49 tff(5816,plain,
% 2.23/2.49 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[680, 5815, 58, 63])).
% 2.23/2.49 tff(5817,plain,
% 2.23/2.49 (b(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[538, 5816])).
% 2.23/2.49 tff(5818,plain,
% 2.23/2.49 (~b(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[3543, 5813, 254, 4635])).
% 2.23/2.49 tff(5819,plain,
% 2.23/2.49 (r(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[195, 5818])).
% 2.23/2.49 tff(5820,plain,
% 2.23/2.49 (~r(z, s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1403, 5819, 59, 65])).
% 2.23/2.49 tff(5821,plain,
% 2.23/2.49 (b(z, s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[88, 5820])).
% 2.23/2.49 tff(5822,plain,
% 2.23/2.49 ($false),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[433, 5821, 5817, 5813, 4635])).
% 2.23/2.49 tff(5823,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(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(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.49 tff(5824,plain,
% 2.23/2.49 (~r(s(z), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[5823, 5809, 65, 58, 59, 5811, 5678, 64])).
% 2.23/2.49 tff(5825,plain,
% 2.23/2.49 (b(s(z), s(s(s(s(s(z))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[3202, 5824])).
% 2.23/2.49 tff(5826,plain,
% 2.23/2.49 (~b(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1228, 5825, 57, 5678])).
% 2.23/2.49 tff(5827,plain,
% 2.23/2.49 (r(s(s(z)), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[195, 5826])).
% 2.23/2.49 tff(5828,plain,
% 2.23/2.49 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1971, 5827, 59, 5658, 5809])).
% 2.23/2.49 tff(5829,plain,
% 2.23/2.49 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[409, 5828])).
% 2.23/2.49 tff(5830,plain,
% 2.23/2.49 (~r(z, s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1407, 5825, 59, 65, 57, 58])).
% 2.23/2.49 tff(5831,plain,
% 2.23/2.49 (b(z, s(z))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[88, 5830])).
% 2.23/2.49 tff(5832,plain,
% 2.23/2.49 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1653, 5829, 57, 5831, 5825, 66])).
% 2.23/2.49 tff(5833,plain,
% 2.23/2.49 (r(z, s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[538, 5832])).
% 2.23/2.49 tff(5834,plain,
% 2.23/2.49 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[680, 5833, 58, 5809])).
% 2.23/2.49 tff(5835,plain,
% 2.23/2.49 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[341, 5834])).
% 2.23/2.49 tff(5836,plain,
% 2.23/2.49 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[1796, 5833, 59, 5809])).
% 2.23/2.49 tff(5837,plain,
% 2.23/2.49 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[165, 5836])).
% 2.23/2.49 tff(5838,plain,
% 2.23/2.49 ($false),
% 2.23/2.49 inference(unit_resolution,[status(thm)],[3737, 5837, 5835, 5678, 5829])).
% 2.23/2.49 tff(5839,plain,((~b(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5840,plain,
% 2.33/2.50 (~b(z, s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5839, 65, 58, 57, 59, 64])).
% 2.33/2.50 tff(5841,plain,
% 2.33/2.50 (r(z, s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[122, 5840])).
% 2.33/2.50 tff(5842,plain,
% 2.33/2.50 (~r(s(z), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1419, 5841, 59, 65])).
% 2.33/2.50 tff(5843,plain,
% 2.33/2.50 (b(s(z), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[698, 5842])).
% 2.33/2.50 tff(5844,plain,
% 2.33/2.50 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1524, 5841, 58, 64, 5658])).
% 2.33/2.50 tff(5845,plain,
% 2.33/2.50 (b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[252, 5844])).
% 2.33/2.50 tff(5846,plain,
% 2.33/2.50 (~r(s(z), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[4637, 67, 58, 59, 64, 5845])).
% 2.33/2.50 tff(5847,plain,
% 2.33/2.50 (b(s(z), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[3202, 5846])).
% 2.33/2.50 tff(5848,plain,
% 2.33/2.50 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[205, 5847, 57, 5843])).
% 2.33/2.50 tff(5849,plain,
% 2.33/2.50 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[232, 5848])).
% 2.33/2.50 tff(5850,plain,
% 2.33/2.50 (~b(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5152, 5847, 65, 89, 59, 5841, 58])).
% 2.33/2.50 tff(5851,plain,
% 2.33/2.50 (r(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[195, 5850])).
% 2.33/2.50 tff(5852,plain,
% 2.33/2.50 ($false),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1433, 5851, 5849, 59, 67, 65])).
% 2.33/2.50 tff(5853,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5854,plain,
% 2.33/2.50 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5853, 65, 59, 58, 57, 64])).
% 2.33/2.50 tff(5855,plain,
% 2.33/2.50 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[303, 5854])).
% 2.33/2.50 tff(5856,plain,
% 2.33/2.50 (~b(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[4980, 5855, 65, 5841, 58, 59])).
% 2.33/2.50 tff(5857,plain,
% 2.33/2.50 (r(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[195, 5856])).
% 2.33/2.50 tff(5858,plain,
% 2.33/2.50 (~r(z, s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1403, 5857, 59, 65])).
% 2.33/2.50 tff(5859,plain,
% 2.33/2.50 (b(z, s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[88, 5858])).
% 2.33/2.50 tff(5860,plain,
% 2.33/2.50 ($false),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5578, 102, 540, 343, 382, 91])).
% 2.33/2.50 tff(5861,plain,((~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(z)))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5862,plain,
% 2.33/2.50 (~b(s(z), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5861, 5855, 4610, 5859])).
% 2.33/2.50 tff(5863,plain,
% 2.33/2.50 (r(s(z), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[3202, 5862])).
% 2.33/2.50 tff(5864,plain,
% 2.33/2.50 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[4633, 5863])).
% 2.33/2.50 tff(5865,plain,
% 2.33/2.50 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[165, 5864])).
% 2.33/2.50 tff(5866,plain,
% 2.33/2.50 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1695, 5865, 5845, 5859])).
% 2.33/2.50 tff(5867,plain,
% 2.33/2.50 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[409, 5866])).
% 2.33/2.50 tff(5868,plain,
% 2.33/2.50 (((~![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(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))))))) | (~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(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))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.33/2.50 inference(rewrite,[status(thm)],[])).
% 2.33/2.50 tff(5869,plain,
% 2.33/2.50 (((~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(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))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.33/2.50 inference(rewrite,[status(thm)],[])).
% 2.33/2.50 tff(5870,plain,
% 2.33/2.50 (((~![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(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(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))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.33/2.50 inference(monotonicity,[status(thm)],[5869])).
% 2.33/2.50 tff(5871,plain,
% 2.33/2.50 (((~![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(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(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))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.33/2.50 inference(transitivity,[status(thm)],[5870, 5868])).
% 2.33/2.50 tff(5872,plain,
% 2.33/2.50 ((~![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(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)))))),
% 2.33/2.50 inference(quant_inst,[status(thm)],[])).
% 2.33/2.50 tff(5873,plain,
% 2.33/2.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.33/2.50 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 2.33/2.50 tff(5874,plain,
% 2.33/2.50 ($false),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5873, 17, 5857, 5658, 5867, 64, 5863])).
% 2.33/2.50 tff(5875,plain,((~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(z))))), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5876,plain,
% 2.33/2.50 (~r(s(s(z)), z)),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5875, 57, 58, 59, 64])).
% 2.33/2.50 tff(5877,plain,
% 2.33/2.50 (b(s(s(z)), z)),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1392, 5876])).
% 2.33/2.50 tff(5878,plain,
% 2.33/2.50 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1050, 102, 4610, 5877, 57])).
% 2.33/2.50 tff(5879,plain,
% 2.33/2.50 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[232, 5878])).
% 2.33/2.50 tff(5880,plain,
% 2.33/2.50 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1530, 5877, 58, 64, 5658, 57])).
% 2.33/2.50 tff(5881,plain,
% 2.33/2.50 (b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[252, 5880])).
% 2.33/2.50 tff(5882,plain,
% 2.33/2.50 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[4637, 61, 58, 59, 64, 5881])).
% 2.33/2.50 tff(5883,plain,
% 2.33/2.50 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[303, 5882])).
% 2.33/2.50 tff(5884,plain,
% 2.33/2.50 ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5214, 17, 58, 5879, 59])).
% 2.33/2.50 tff(5885,plain,
% 2.33/2.50 (~r(s(z), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5884, 61])).
% 2.33/2.50 tff(5886,plain,
% 2.33/2.50 (b(s(z), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[698, 5885])).
% 2.33/2.50 tff(5887,plain,
% 2.33/2.50 (~b(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[3257, 5883, 57, 5886])).
% 2.33/2.50 tff(5888,plain,
% 2.33/2.50 (r(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[195, 5887])).
% 2.33/2.50 tff(5889,plain,
% 2.33/2.50 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5547, 5888, 5879, 64, 5883, 4635, 61])).
% 2.33/2.50 tff(5890,plain,
% 2.33/2.50 (~b(z, s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[719, 5877, 4610, 57])).
% 2.33/2.50 tff(5891,plain,
% 2.33/2.50 (r(z, s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[122, 5890])).
% 2.33/2.50 tff(5892,plain,
% 2.33/2.50 (~b(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[3257, 343, 92, 57])).
% 2.33/2.50 tff(5893,plain,
% 2.33/2.50 (r(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[195, 5892])).
% 2.33/2.50 tff(5894,plain,
% 2.33/2.50 (~r(z, s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[2466, 5893, 5, 2, 1])).
% 2.33/2.50 tff(5895,plain,
% 2.33/2.50 (b(z, s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[88, 5894])).
% 2.33/2.50 tff(5896,plain,
% 2.33/2.50 ($false),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[465, 102, 92, 56, 343, 57, 5895])).
% 2.33/2.50 tff(5897,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5898,plain,
% 2.33/2.50 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5897, 5883, 5658, 5877, 5891, 5886, 57])).
% 2.33/2.50 tff(5899,plain,
% 2.33/2.50 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[538, 5898])).
% 2.33/2.50 tff(5900,plain,
% 2.33/2.50 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[262, 5899, 5877, 5881])).
% 2.33/2.50 tff(5901,plain,
% 2.33/2.50 ($false),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[279, 5900, 5889])).
% 2.33/2.50 tff(5902,plain,((~r(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(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5903,plain,
% 2.33/2.50 (~r(s(z), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5902, 57, 64, 58, 59])).
% 2.33/2.50 tff(5904,plain,
% 2.33/2.50 (b(s(z), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[3202, 5903])).
% 2.33/2.50 tff(5905,plain,
% 2.33/2.50 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1287, 5904, 57, 5877, 58])).
% 2.33/2.50 tff(5906,plain,
% 2.33/2.50 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[538, 5905])).
% 2.33/2.50 tff(5907,plain,
% 2.33/2.50 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[262, 5906, 5877, 5881])).
% 2.33/2.50 tff(5908,plain,
% 2.33/2.50 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[279, 5907])).
% 2.33/2.50 tff(5909,plain,
% 2.33/2.50 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[4798, 5906, 4610, 5881])).
% 2.33/2.50 tff(5910,plain,
% 2.33/2.50 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[341, 5909])).
% 2.33/2.50 tff(5911,plain,
% 2.33/2.50 ($false),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[313, 5910, 5908, 64, 5879])).
% 2.33/2.50 tff(5912,plain,((~b(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(z))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5913,plain,
% 2.33/2.50 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5912, 64, 58, 59])).
% 2.33/2.50 tff(5914,plain,
% 2.33/2.50 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1711, 5913])).
% 2.33/2.50 tff(5915,plain,
% 2.33/2.50 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1910, 5914, 64, 5658])).
% 2.33/2.50 tff(5916,plain,
% 2.33/2.50 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[232, 5915])).
% 2.33/2.50 tff(5917,plain,
% 2.33/2.50 (~r(z, s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1524, 63, 58, 64, 5658])).
% 2.33/2.50 tff(5918,plain,
% 2.33/2.50 (b(z, s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[122, 5917])).
% 2.33/2.50 tff(5919,plain,
% 2.33/2.50 (~b(s(z), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1837, 67, 58, 59, 5914, 5918])).
% 2.33/2.50 tff(5920,plain,
% 2.33/2.50 (r(s(z), s(s(z)))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[698, 5919])).
% 2.33/2.50 tff(5921,plain,
% 2.33/2.50 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1162, 5920, 5658, 67, 64])).
% 2.33/2.50 tff(5922,plain,
% 2.33/2.50 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[409, 5921])).
% 2.33/2.50 tff(5923,plain,
% 2.33/2.50 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[2100, 62, 5, 3])).
% 2.33/2.50 tff(5924,plain,
% 2.33/2.50 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[341, 5923])).
% 2.33/2.50 tff(5925,plain,
% 2.33/2.50 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[878, 5924, 91, 425])).
% 2.33/2.50 tff(5926,plain,
% 2.33/2.50 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[165, 5925])).
% 2.33/2.50 tff(5927,plain,
% 2.33/2.50 (((~![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(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(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)))))))))) <=> ((~![X0: $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(z), z)) | (~r(s(s(s(s(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)))))))))),
% 2.33/2.50 inference(rewrite,[status(thm)],[])).
% 2.33/2.50 tff(5928,plain,
% 2.33/2.50 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(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(z), s(s(z))))) <=> ((~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(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)))))))))),
% 2.33/2.50 inference(rewrite,[status(thm)],[])).
% 2.33/2.50 tff(5929,plain,
% 2.33/2.50 (((~![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)))))), z)) | (~r(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(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(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(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))))))))))),
% 2.33/2.50 inference(monotonicity,[status(thm)],[5928])).
% 2.33/2.50 tff(5930,plain,
% 2.33/2.50 (((~![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)))))), z)) | (~r(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(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(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(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)))))))))),
% 2.33/2.50 inference(transitivity,[status(thm)],[5929, 5927])).
% 2.33/2.50 tff(5931,plain,
% 2.33/2.50 ((~![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)))))), z)) | (~r(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(z), s(s(z)))))),
% 2.33/2.50 inference(quant_inst,[status(thm)],[])).
% 2.33/2.50 tff(5932,plain,
% 2.33/2.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.33/2.50 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 2.33/2.50 tff(5933,plain,
% 2.33/2.50 ($false),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5932, 17, 780, 59, 63, 62, 5926])).
% 2.33/2.50 tff(5934,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(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))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.50 tff(5935,plain,
% 2.33/2.50 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[5934, 5920, 59, 63, 91, 5922, 5658, 5914])).
% 2.33/2.50 tff(5936,plain,
% 2.33/2.50 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[279, 5935])).
% 2.33/2.50 tff(5937,plain,
% 2.33/2.50 (~r(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1823, 67, 58, 59, 5914])).
% 2.33/2.50 tff(5938,plain,
% 2.33/2.50 (b(s(s(z)), s(z))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[195, 5937])).
% 2.33/2.50 tff(5939,plain,
% 2.33/2.50 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[3543, 5936, 5938, 5922])).
% 2.33/2.50 tff(5940,plain,
% 2.33/2.50 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[165, 5939])).
% 2.33/2.50 tff(5941,plain,
% 2.33/2.50 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[1796, 5940, 59, 63])).
% 2.33/2.50 tff(5942,plain,
% 2.33/2.50 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(unit_resolution,[status(thm)],[538, 5941])).
% 2.33/2.50 tff(5943,plain,
% 2.33/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))))))),
% 2.33/2.50 inference(rewrite,[status(thm)],[])).
% 2.33/2.50 tff(5944,plain,
% 2.33/2.50 (((~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(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(z))))))) | (~b(s(s(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(z))))))))),
% 2.33/2.50 inference(rewrite,[status(thm)],[])).
% 2.33/2.50 tff(5945,plain,
% 2.33/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))))))),
% 2.33/2.50 inference(monotonicity,[status(thm)],[5944])).
% 2.33/2.50 tff(5946,plain,
% 2.33/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z))))))))),
% 2.33/2.50 inference(transitivity,[status(thm)],[5945, 5943])).
% 2.33/2.50 tff(5947,plain,
% 2.33/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))))),
% 2.33/2.50 inference(quant_inst,[status(thm)],[])).
% 2.33/2.50 tff(5948,plain,
% 2.33/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.33/2.50 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 2.33/2.51 tff(5949,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5948, 102, 4610, 5922, 5918, 5942, 5936, 91])).
% 2.33/2.51 tff(5950,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~b(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(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(5951,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5950, 91, 59, 63, 64, 58])).
% 2.33/2.51 tff(5952,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[303, 5951])).
% 2.33/2.51 tff(5953,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), 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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.51 inference(rewrite,[status(thm)],[])).
% 2.33/2.51 tff(5954,plain,
% 2.33/2.51 (((~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(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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.51 inference(rewrite,[status(thm)],[])).
% 2.33/2.51 tff(5955,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 2.33/2.51 inference(monotonicity,[status(thm)],[5954])).
% 2.33/2.51 tff(5956,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.51 inference(transitivity,[status(thm)],[5955, 5953])).
% 2.33/2.51 tff(5957,plain,
% 2.33/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))))),
% 2.33/2.51 inference(quant_inst,[status(thm)],[])).
% 2.33/2.51 tff(5958,plain,
% 2.33/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 2.33/2.51 tff(5959,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5958, 102, 4610, 5918, 5952, 5916, 91])).
% 2.33/2.51 tff(5960,plain,((~b(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(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(5961,plain,
% 2.33/2.51 (~b(s(z), s(s(s(s(s(z))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5960, 63, 59, 64, 58])).
% 2.33/2.51 tff(5962,plain,
% 2.33/2.51 (r(s(z), s(s(s(s(s(z))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3202, 5961])).
% 2.33/2.51 tff(5963,plain,
% 2.33/2.51 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4633, 5962])).
% 2.33/2.51 tff(5964,plain,
% 2.33/2.51 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[165, 5963])).
% 2.33/2.51 tff(5965,plain,
% 2.33/2.51 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3747, 5962, 5658, 5914, 64])).
% 2.33/2.51 tff(5966,plain,
% 2.33/2.51 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[409, 5965])).
% 2.33/2.51 tff(5967,plain,
% 2.33/2.51 (~r(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1823, 67, 58, 59, 3])).
% 2.33/2.51 tff(5968,plain,
% 2.33/2.51 (b(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[195, 5967])).
% 2.33/2.51 tff(5969,plain,
% 2.33/2.51 (~b(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1837, 67, 58, 59, 3, 66])).
% 2.33/2.51 tff(5970,plain,
% 2.33/2.51 (r(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[698, 5969])).
% 2.33/2.51 tff(5971,plain,
% 2.33/2.51 (~r(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4916, 5968, 197, 58, 66, 5970, 59])).
% 2.33/2.51 tff(5972,plain,
% 2.33/2.51 (b(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1392, 5971])).
% 2.33/2.51 tff(5973,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.33/2.51 inference(rewrite,[status(thm)],[])).
% 2.33/2.51 tff(5974,plain,
% 2.33/2.51 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.33/2.51 inference(rewrite,[status(thm)],[])).
% 2.33/2.51 tff(5975,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(z))) | (~b(s(z), s(s(s(s(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(X0, 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(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.33/2.51 inference(monotonicity,[status(thm)],[5974])).
% 2.33/2.51 tff(5976,plain,
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% 2.33/2.51 inference(transitivity,[status(thm)],[5975, 5973])).
% 2.33/2.51 tff(5977,plain,
% 2.33/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)))),
% 2.33/2.51 inference(quant_inst,[status(thm)],[])).
% 2.33/2.51 tff(5978,plain,
% 2.33/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.33/2.51 inference(modus_ponens,[status(thm)],[5977, 5976])).
% 2.33/2.51 tff(5979,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5978, 102, 425, 5972, 5968, 89, 125])).
% 2.33/2.51 tff(5980,plain,((~r(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(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(5981,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5980, 5966, 5964, 5916, 58, 5918, 59, 5914])).
% 2.33/2.51 tff(5982,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[303, 5981])).
% 2.33/2.51 tff(5983,plain,
% 2.33/2.51 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3737, 5982, 5964, 5966])).
% 2.33/2.51 tff(5984,plain,
% 2.33/2.51 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[341, 5983])).
% 2.33/2.51 tff(5985,plain,
% 2.33/2.51 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2165, 5984, 58, 5914, 63])).
% 2.33/2.51 tff(5986,plain,
% 2.33/2.51 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[279, 5985])).
% 2.33/2.51 tff(5987,plain,
% 2.33/2.51 (~b(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4864, 5982, 4610, 5916, 5918])).
% 2.33/2.51 tff(5988,plain,
% 2.33/2.51 (r(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[698, 5987])).
% 2.33/2.51 tff(5989,plain,
% 2.33/2.51 (~r(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4910, 5988, 59, 5914, 5962])).
% 2.33/2.51 tff(5990,plain,
% 2.33/2.51 (b(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1392, 5989])).
% 2.33/2.51 tff(5991,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5567, 102, 4610, 5990, 5982, 5986, 5916, 5964])).
% 2.33/2.51 tff(5992,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(5993,plain,
% 2.33/2.51 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5992, 64, 59, 58])).
% 2.33/2.51 tff(5994,plain,
% 2.33/2.51 (b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[252, 5993])).
% 2.33/2.51 tff(5995,plain,
% 2.33/2.51 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3747, 61, 5658, 5914, 64])).
% 2.33/2.51 tff(5996,plain,
% 2.33/2.51 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[409, 5995])).
% 2.33/2.51 tff(5997,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4637, 61, 58, 59, 64, 5994])).
% 2.33/2.51 tff(5998,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[303, 5997])).
% 2.33/2.51 tff(5999,plain,
% 2.33/2.51 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3737, 5998, 4635, 5996])).
% 2.33/2.51 tff(6000,plain,
% 2.33/2.51 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[341, 5999])).
% 2.33/2.51 tff(6001,plain,
% 2.33/2.51 (~b(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2231, 6000, 58, 5658, 5914, 5994])).
% 2.33/2.51 tff(6002,plain,
% 2.33/2.51 (r(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[122, 6001])).
% 2.33/2.51 tff(6003,plain,
% 2.33/2.51 (~b(z, s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1695, 5996, 5994, 4635])).
% 2.33/2.51 tff(6004,plain,
% 2.33/2.51 (r(z, s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[88, 6003])).
% 2.33/2.51 tff(6005,plain,
% 2.33/2.51 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2100, 6000, 5658, 5914])).
% 2.33/2.51 tff(6006,plain,
% 2.33/2.51 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[279, 6005])).
% 2.33/2.51 tff(6007,plain,
% 2.33/2.51 (~b(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3543, 6006, 4635, 5996])).
% 2.33/2.51 tff(6008,plain,
% 2.33/2.51 (r(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[195, 6007])).
% 2.33/2.51 tff(6009,plain,
% 2.33/2.51 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2466, 6008, 5658, 6004, 6002])).
% 2.33/2.51 tff(6010,plain,
% 2.33/2.51 (~r(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1762, 6002, 5914, 58])).
% 2.33/2.51 tff(6011,plain,
% 2.33/2.51 (b(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1392, 6010])).
% 2.33/2.51 tff(6012,plain,
% 2.33/2.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[262, 6011, 5994, 6006])).
% 2.33/2.51 tff(6013,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[538, 6012, 6009])).
% 2.33/2.51 tff(6014,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(6015,plain,
% 2.33/2.51 (~r(s(z), s(s(s(s(s(z))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[6014, 64, 59, 58])).
% 2.33/2.51 tff(6016,plain,
% 2.33/2.51 (b(s(z), s(s(s(s(s(z))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3202, 6015])).
% 2.33/2.51 tff(6017,plain,
% 2.33/2.51 (~b(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2015, 67, 59, 3, 58, 4, 167])).
% 2.33/2.51 tff(6018,plain,
% 2.33/2.51 (r(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[122, 6017])).
% 2.33/2.51 tff(6019,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2185, 67, 5, 3, 167])).
% 2.33/2.51 tff(6020,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[341, 6019])).
% 2.33/2.51 tff(6021,plain,
% 2.33/2.51 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[3531, 5968, 197, 4, 89, 6020])).
% 2.33/2.51 tff(6022,plain,
% 2.33/2.51 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[279, 6021])).
% 2.33/2.51 tff(6023,plain,
% 2.33/2.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4798, 6020, 4610, 4])).
% 2.33/2.51 tff(6024,plain,
% 2.33/2.51 (r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[538, 6023])).
% 2.33/2.51 tff(6025,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1040, 6024, 6022, 5, 6018])).
% 2.33/2.51 tff(6026,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(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(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(6027,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[6026, 167, 4, 197, 3, 5, 59, 58])).
% 2.33/2.51 tff(6028,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[303, 6027])).
% 2.33/2.51 tff(6029,plain,
% 2.33/2.51 (~b(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1748, 6028, 197, 91])).
% 2.33/2.51 tff(6030,plain,
% 2.33/2.51 (r(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[195, 6029])).
% 2.33/2.51 tff(6031,plain,
% 2.33/2.51 (~b(z, s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5861, 6028, 4610, 91])).
% 2.33/2.51 tff(6032,plain,
% 2.33/2.51 (r(z, s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[88, 6031])).
% 2.33/2.51 tff(6033,plain,
% 2.33/2.51 (~b(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1738, 6028, 197, 91])).
% 2.33/2.51 tff(6034,plain,
% 2.33/2.51 (r(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[698, 6033])).
% 2.33/2.51 tff(6035,plain,
% 2.33/2.51 (~r(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[976, 6034, 6032, 6030])).
% 2.33/2.51 tff(6036,plain,
% 2.33/2.51 (b(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[122, 6035])).
% 2.33/2.51 tff(6037,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2231, 6036, 58, 5, 3, 4])).
% 2.33/2.51 tff(6038,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[341, 6037])).
% 2.33/2.51 tff(6039,plain,
% 2.33/2.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4798, 6038, 4610, 4])).
% 2.33/2.51 tff(6040,plain,
% 2.33/2.51 (~r(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1403, 6030, 59, 6032])).
% 2.33/2.51 tff(6041,plain,
% 2.33/2.51 (b(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1392, 6040])).
% 2.33/2.51 tff(6042,plain,
% 2.33/2.51 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5731, 6036, 58, 4610, 197, 4])).
% 2.33/2.51 tff(6043,plain,
% 2.33/2.51 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[279, 6042])).
% 2.33/2.51 tff(6044,plain,
% 2.33/2.51 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[788, 6043, 6036, 6028, 91, 58, 6034, 167, 6041])).
% 2.33/2.51 tff(6045,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[538, 6044, 6039])).
% 2.33/2.51 tff(6046,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), 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(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(z))))), s(s(z)))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(6047,plain,
% 2.33/2.51 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[6046, 6016, 58, 5994, 5916, 5658, 5914, 59])).
% 2.33/2.51 tff(6048,plain,
% 2.33/2.51 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[165, 6047])).
% 2.33/2.51 tff(6049,plain,
% 2.33/2.51 (~b(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[5731, 254, 58, 4610, 197, 4])).
% 2.33/2.51 tff(6050,plain,
% 2.33/2.51 (r(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[122, 6049])).
% 2.33/2.51 tff(6051,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1728, 17, 58, 3, 59, 6050])).
% 2.33/2.51 tff(6052,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[303, 6051])).
% 2.33/2.51 tff(6053,plain,
% 2.33/2.51 (~b(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1748, 6052, 197, 91])).
% 2.33/2.51 tff(6054,plain,
% 2.33/2.51 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[6046, 91, 58, 4, 197, 5, 3, 59])).
% 2.33/2.51 tff(6055,plain,
% 2.33/2.51 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[165, 6054])).
% 2.33/2.51 tff(6056,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, 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(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(z, 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(s(s(s(z))))))))),
% 2.33/2.51 inference(rewrite,[status(thm)],[])).
% 2.33/2.51 tff(6057,plain,
% 2.33/2.51 (((~b(z, 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(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(z), s(s(z)))) | (~b(z, 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(s(s(s(z))))))))),
% 2.33/2.51 inference(rewrite,[status(thm)],[])).
% 2.33/2.51 tff(6058,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(z, 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(s(s(s(z)))))))))),
% 2.33/2.51 inference(monotonicity,[status(thm)],[6057])).
% 2.33/2.51 tff(6059,plain,
% 2.33/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(z, 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(s(s(s(z))))))))),
% 2.33/2.51 inference(transitivity,[status(thm)],[6058, 6056])).
% 2.33/2.51 tff(6060,plain,
% 2.33/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.33/2.51 inference(quant_inst,[status(thm)],[])).
% 2.33/2.51 tff(6061,plain,
% 2.33/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(modus_ponens,[status(thm)],[6060, 6059])).
% 2.33/2.51 tff(6062,plain,
% 2.33/2.51 (~b(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[6061, 102, 4610, 4, 254, 91, 6055])).
% 2.33/2.51 tff(6063,plain,
% 2.33/2.51 (r(s(z), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[698, 6062])).
% 2.33/2.51 tff(6064,plain,
% 2.33/2.51 (~r(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1762, 6050, 3, 58])).
% 2.33/2.51 tff(6065,plain,
% 2.33/2.51 (b(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1392, 6064])).
% 2.33/2.51 tff(6066,plain,
% 2.33/2.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[262, 6065, 4, 254])).
% 2.33/2.51 tff(6067,plain,
% 2.33/2.51 (r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[538, 6066])).
% 2.33/2.51 tff(6068,plain,
% 2.33/2.51 (~r(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1248, 6052, 5, 6050, 91, 6067, 6063])).
% 2.33/2.51 tff(6069,plain,
% 2.33/2.51 ($false),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[195, 6068, 6053])).
% 2.33/2.51 tff(6070,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~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(z)))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.51 tff(6071,plain,
% 2.33/2.51 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[6070, 5658, 6016, 5916, 58, 5914, 59, 5994])).
% 2.33/2.51 tff(6072,plain,
% 2.33/2.51 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[279, 6071])).
% 2.33/2.51 tff(6073,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[2100, 6072, 5658, 5914])).
% 2.33/2.51 tff(6074,plain,
% 2.33/2.51 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[341, 6073])).
% 2.33/2.51 tff(6075,plain,
% 2.33/2.51 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[878, 6074, 6016, 6048])).
% 2.33/2.51 tff(6076,plain,
% 2.33/2.51 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[409, 6075])).
% 2.33/2.51 tff(6077,plain,
% 2.33/2.51 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[4798, 6074, 4610, 5994])).
% 2.33/2.51 tff(6078,plain,
% 2.33/2.51 (r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[538, 6077])).
% 2.33/2.51 tff(6079,plain,
% 2.33/2.51 (~r(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1040, 6078, 5658, 6072])).
% 2.33/2.51 tff(6080,plain,
% 2.33/2.51 (b(z, s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[122, 6079])).
% 2.33/2.51 tff(6081,plain,
% 2.33/2.51 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1867, 6080, 59, 5994, 6076, 58, 5914, 64])).
% 2.33/2.51 tff(6082,plain,
% 2.33/2.51 (~r(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1886, 343, 91, 59, 1, 62, 58])).
% 2.33/2.51 tff(6083,plain,
% 2.33/2.51 (b(s(s(z)), z)),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1392, 6082])).
% 2.33/2.51 tff(6084,plain,
% 2.33/2.51 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[777, 6083, 66, 4])).
% 2.33/2.51 tff(6085,plain,
% 2.33/2.51 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[496, 6084])).
% 2.33/2.51 tff(6086,plain,
% 2.33/2.51 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1910, 6085, 3, 64])).
% 2.33/2.51 tff(6087,plain,
% 2.33/2.51 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[232, 6086])).
% 2.33/2.51 tff(6088,plain,
% 2.33/2.51 (~b(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[1748, 6087, 91, 343])).
% 2.33/2.51 tff(6089,plain,
% 2.33/2.51 (r(s(s(z)), s(z))),
% 2.33/2.51 inference(unit_resolution,[status(thm)],[195, 6088])).
% 2.33/2.51 tff(6090,plain,
% 2.33/2.51 (~b(s(z), s(s(z)))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[1738, 6087, 91, 343])).
% 2.33/2.52 tff(6091,plain,
% 2.33/2.52 (r(s(z), s(s(z)))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[698, 6090])).
% 2.33/2.52 tff(6092,plain,
% 2.33/2.52 ($false),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[856, 6091, 6089, 393, 6085])).
% 2.33/2.52 tff(6093,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.52 tff(6094,plain,
% 2.33/2.52 (~b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[6093, 6080, 59, 64, 5914, 5994, 6078, 6016, 6076, 6072, 58])).
% 2.33/2.52 tff(6095,plain,
% 2.33/2.52 ($false),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[303, 6094, 6081])).
% 2.33/2.52 tff(6096,plain,((~r(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))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.52 tff(6097,plain,
% 2.33/2.52 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[6096, 59, 58])).
% 2.33/2.52 tff(6098,plain,
% 2.33/2.52 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[361, 6097])).
% 2.33/2.52 tff(6099,plain,
% 2.33/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(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(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.52 inference(rewrite,[status(thm)],[])).
% 2.33/2.52 tff(6100,plain,
% 2.33/2.52 (((~b(s(s(z)), s(z))) | (~b(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(z)), s(z))) | (~b(z, s(z))) | (~b(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(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.52 inference(rewrite,[status(thm)],[])).
% 2.33/2.52 tff(6101,plain,
% 2.33/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(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(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.33/2.52 inference(monotonicity,[status(thm)],[6100])).
% 2.33/2.52 tff(6102,plain,
% 2.33/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(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(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.52 inference(transitivity,[status(thm)],[6101, 6099])).
% 2.33/2.52 tff(6103,plain,
% 2.33/2.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.33/2.52 inference(quant_inst,[status(thm)],[])).
% 2.33/2.52 tff(6104,plain,
% 2.33/2.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.33/2.52 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 2.33/2.52 tff(6105,plain,
% 2.33/2.52 ($false),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[6104, 102, 540, 168, 364, 57, 124, 382])).
% 2.33/2.52 tff(6106,plain,((~b(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(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.52 tff(6107,plain,
% 2.33/2.52 (~b(s(s(z)), s(z))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[6106, 57, 364, 540, 124, 382])).
% 2.33/2.52 tff(6108,plain,
% 2.33/2.52 (r(s(s(z)), s(z))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[195, 6107])).
% 2.33/2.52 tff(6109,plain,
% 2.33/2.52 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[3785, 6108, 61, 67])).
% 2.33/2.52 tff(6110,plain,
% 2.33/2.52 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[232, 6109])).
% 2.33/2.52 tff(6111,plain,
% 2.33/2.52 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.52 inference(unit_resolution,[status(thm)],[1346, 6110, 364, 57])).
% 2.33/2.52 tff(6112,plain,
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% 2.33/2.53 inference(quant_inst,[status(thm)],[])).
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% 2.33/2.53 tff(6179,plain,
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% 2.33/2.53 tff(6182,plain,
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% 2.33/2.53 inference(unit_resolution,[status(thm)],[1711, 6181])).
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% 2.33/2.53 tff(6185,plain,
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% 2.33/2.53 tff(6187,plain,
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% 2.33/2.53 inference(unit_resolution,[status(thm)],[1346, 57, 364, 498])).
% 2.33/2.53 tff(6194,plain,
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% 2.33/2.53 tff(6195,plain,
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% 2.33/2.53 inference(unit_resolution,[status(thm)],[1483, 6194, 6192, 58, 62, 1])).
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% 2.33/2.53 tff(6197,plain,
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% 2.33/2.53 inference(unit_resolution,[status(thm)],[1711, 6197])).
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% 2.33/2.53 tff(6200,plain,
% 2.33/2.53 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 2.33/2.53 tff(6201,plain,
% 2.33/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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))))))))),
% 2.33/2.53 inference(rewrite,[status(thm)],[])).
% 2.33/2.53 tff(6202,plain,
% 2.33/2.53 (((~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(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(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(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))))))))),
% 2.33/2.53 inference(rewrite,[status(thm)],[])).
% 2.33/2.53 tff(6203,plain,
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% 2.33/2.53 inference(monotonicity,[status(thm)],[6202])).
% 2.33/2.53 tff(6204,plain,
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% 2.33/2.53 inference(transitivity,[status(thm)],[6203, 6201])).
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% 2.33/2.53 inference(quant_inst,[status(thm)],[])).
% 2.33/2.53 tff(6206,plain,
% 2.33/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 2.33/2.53 tff(6207,plain,
% 2.33/2.53 ($false),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6206, 102, 4610, 6190, 4, 364, 6200])).
% 2.33/2.53 tff(6208,plain,((~r(z, s(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))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.53 tff(6209,plain,
% 2.33/2.53 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6208, 6188, 6098, 62, 2, 58])).
% 2.33/2.53 tff(6210,plain,
% 2.33/2.53 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[538, 6209])).
% 2.33/2.53 tff(6211,plain,
% 2.33/2.53 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[4798, 6210, 4610, 6188])).
% 2.33/2.53 tff(6212,plain,
% 2.33/2.53 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[341, 6211])).
% 2.33/2.53 tff(6213,plain,
% 2.33/2.53 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[5551, 6212, 62, 2, 58])).
% 2.33/2.53 tff(6214,plain,
% 2.33/2.53 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[1711, 6213])).
% 2.33/2.53 tff(6215,plain,
% 2.33/2.53 (~b(s(s(z)), z)),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6160, 343, 61, 6214, 62, 6210, 58, 59])).
% 2.33/2.53 tff(6216,plain,
% 2.33/2.53 (r(s(s(z)), z)),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[1392, 6215])).
% 2.33/2.53 tff(6217,plain,
% 2.33/2.53 (~b(s(s(z)), s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[4980, 6216, 343, 2, 58, 59])).
% 2.33/2.53 tff(6218,plain,
% 2.33/2.53 (r(s(s(z)), s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[195, 6217])).
% 2.33/2.53 tff(6219,plain,
% 2.33/2.53 ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[3920, 17, 62, 6212, 61])).
% 2.33/2.53 tff(6220,plain,
% 2.33/2.53 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6219, 6218])).
% 2.33/2.53 tff(6221,plain,
% 2.33/2.53 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[232, 6220])).
% 2.33/2.53 tff(6222,plain,
% 2.33/2.53 (~r(s(z), s(s(z)))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[1419, 6216, 59, 2])).
% 2.33/2.53 tff(6223,plain,
% 2.33/2.53 (b(s(z), s(s(z)))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[698, 6222])).
% 2.33/2.53 tff(6224,plain,
% 2.33/2.53 ($false),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[5515, 102, 6223, 343, 6214, 6221])).
% 2.33/2.53 tff(6225,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(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), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.53 tff(6226,plain,
% 2.33/2.53 (~b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6225, 62, 61, 2, 58, 59])).
% 2.33/2.53 tff(6227,plain,
% 2.33/2.53 (r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[303, 6226])).
% 2.33/2.53 tff(6228,plain,
% 2.33/2.53 (~r(z, s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[76, 6227, 58, 59])).
% 2.33/2.53 tff(6229,plain,
% 2.33/2.53 (b(z, s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[88, 6228])).
% 2.33/2.53 tff(6230,plain,
% 2.33/2.53 (~b(s(s(z)), s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6106, 6229, 6098, 4610, 6210, 6214])).
% 2.33/2.53 tff(6231,plain,
% 2.33/2.53 (r(s(s(z)), s(z))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[195, 6230])).
% 2.33/2.53 tff(6232,plain,
% 2.33/2.53 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6219, 6231])).
% 2.33/2.53 tff(6233,plain,
% 2.33/2.53 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[232, 6232])).
% 2.33/2.53 tff(6234,plain,
% 2.33/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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)))))))))),
% 2.33/2.53 inference(rewrite,[status(thm)],[])).
% 2.33/2.53 tff(6235,plain,
% 2.33/2.53 (((~b(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(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(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(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.53 inference(rewrite,[status(thm)],[])).
% 2.33/2.53 tff(6236,plain,
% 2.33/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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))))))))))),
% 2.33/2.53 inference(monotonicity,[status(thm)],[6235])).
% 2.33/2.53 tff(6237,plain,
% 2.33/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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)))))))))),
% 2.33/2.53 inference(transitivity,[status(thm)],[6236, 6234])).
% 2.33/2.53 tff(6238,plain,
% 2.33/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.33/2.53 inference(quant_inst,[status(thm)],[])).
% 2.33/2.53 tff(6239,plain,
% 2.33/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.33/2.53 inference(modus_ponens,[status(thm)],[6238, 6237])).
% 2.33/2.53 tff(6240,plain,
% 2.33/2.53 ($false),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6239, 102, 4610, 6098, 6214, 6210, 6233])).
% 2.33/2.53 tff(6241,plain,((~r(s(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))))), z)) | (~r(s(z), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.53 tff(6242,plain,
% 2.33/2.53 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[6241, 2, 58, 59, 61])).
% 2.33/2.53 tff(6243,plain,
% 2.33/2.53 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.53 inference(unit_resolution,[status(thm)],[279, 6242])).
% 2.33/2.53 tff(6244,plain,
% 2.33/2.53 (((~![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(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))))))) | (~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(s(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))))))) | (~r(z, s(s(z)))))),
% 2.33/2.53 inference(rewrite,[status(thm)],[])).
% 2.33/2.53 tff(6245,plain,
% 2.33/2.53 (((~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(s(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))))))) | (~r(z, s(s(z)))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6246,plain,
% 2.33/2.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(s(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))))))) | (~r(z, s(s(z))))))),
% 2.33/2.54 inference(monotonicity,[status(thm)],[6245])).
% 2.33/2.54 tff(6247,plain,
% 2.33/2.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(s(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))))))) | (~r(z, s(s(z)))))),
% 2.33/2.54 inference(transitivity,[status(thm)],[6246, 6244])).
% 2.33/2.54 tff(6248,plain,
% 2.33/2.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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))))))))),
% 2.33/2.54 inference(quant_inst,[status(thm)],[])).
% 2.33/2.54 tff(6249,plain,
% 2.33/2.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 2.33/2.54 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 2.33/2.54 tff(6250,plain,
% 2.33/2.54 ($false),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[6249, 17, 780, 58, 59, 2, 61])).
% 2.33/2.54 tff(6251,plain,((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.54 tff(6252,plain,
% 2.33/2.54 (~r(s(z), s(s(z)))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[6251, 2, 59, 58, 61])).
% 2.33/2.54 tff(6253,plain,
% 2.33/2.54 (b(s(z), s(s(z)))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[698, 6252])).
% 2.33/2.54 tff(6254,plain,
% 2.33/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6255,plain,
% 2.33/2.54 (((~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(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(z), 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6256,plain,
% 2.33/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.33/2.54 inference(monotonicity,[status(thm)],[6255])).
% 2.33/2.54 tff(6257,plain,
% 2.33/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.33/2.54 inference(transitivity,[status(thm)],[6256, 6254])).
% 2.33/2.54 tff(6258,plain,
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% 2.33/2.54 inference(quant_inst,[status(thm)],[])).
% 2.33/2.54 tff(6259,plain,
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% 2.33/2.54 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 2.33/2.54 tff(6260,plain,
% 2.33/2.54 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[6259, 102, 6253, 6098, 57, 6243])).
% 2.33/2.54 tff(6261,plain,
% 2.33/2.54 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[165, 6260])).
% 2.33/2.54 tff(6262,plain,
% 2.33/2.54 ($false),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[5789, 102, 540, 4, 364, 60])).
% 2.33/2.54 tff(6263,plain,((~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(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.54 tff(6264,plain,
% 2.33/2.54 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[6263, 60, 4610, 6098])).
% 2.33/2.54 tff(6265,plain,
% 2.33/2.54 (r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[252, 6264])).
% 2.33/2.54 tff(6266,plain,
% 2.33/2.54 (((~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(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(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(s(z)))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6267,plain,
% 2.33/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.33/2.54 inference(monotonicity,[status(thm)],[6266])).
% 2.33/2.54 tff(6268,plain,
% 2.33/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.54 inference(transitivity,[status(thm)],[6267, 6121])).
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% 2.33/2.54 inference(quant_inst,[status(thm)],[])).
% 2.33/2.54 tff(6270,plain,
% 2.33/2.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.33/2.54 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 2.33/2.54 tff(6271,plain,
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% 2.33/2.54 inference(unit_resolution,[status(thm)],[6270, 102, 4610, 6098, 60])).
% 2.33/2.54 tff(6272,plain,
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% 2.33/2.54 inference(unit_resolution,[status(thm)],[538, 6271])).
% 2.33/2.54 tff(6273,plain,
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% 2.33/2.54 inference(unit_resolution,[status(thm)],[6150, 6272, 59, 6265, 58])).
% 2.33/2.54 tff(6274,plain,
% 2.33/2.54 (((~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(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(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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6275,plain,
% 2.33/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.33/2.54 inference(monotonicity,[status(thm)],[6274])).
% 2.33/2.54 tff(6276,plain,
% 2.33/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.33/2.54 inference(transitivity,[status(thm)],[6275, 730])).
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% 2.33/2.54 inference(quant_inst,[status(thm)],[])).
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% 2.33/2.54 tff(6280,plain,
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% 2.33/2.54 inference(unit_resolution,[status(thm)],[1711, 6279])).
% 2.33/2.54 tff(6281,plain,
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% 2.33/2.54 inference(unit_resolution,[status(thm)],[1728, 17, 58, 67, 3, 59, 2])).
% 2.33/2.54 tff(6282,plain,((~r(s(s(s(s(s(z))))), s(s(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(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.54 tff(6283,plain,
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% 2.33/2.54 tff(6284,plain,
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% 2.33/2.54 tff(6285,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.54 tff(6286,plain,
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% 2.33/2.54 tff(6287,plain,
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% 2.33/2.54 tff(6289,plain,
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% 2.33/2.54 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 2.33/2.54 tff(6294,plain,
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% 2.33/2.54 tff(6295,plain,
% 2.33/2.54 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[232, 6294])).
% 2.33/2.54 tff(6296,plain,
% 2.33/2.54 (((~![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(z)), 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))))))) | (~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)), 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))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6297,plain,
% 2.33/2.54 (((~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)), 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))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6298,plain,
% 2.33/2.54 (((~![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(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)), 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))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 2.33/2.54 inference(monotonicity,[status(thm)],[6297])).
% 2.33/2.54 tff(6299,plain,
% 2.33/2.54 (((~![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(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)), 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))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.54 inference(transitivity,[status(thm)],[6298, 6296])).
% 2.33/2.54 tff(6300,plain,
% 2.33/2.54 ((~![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(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))))),
% 2.33/2.54 inference(quant_inst,[status(thm)],[])).
% 2.33/2.54 tff(6301,plain,
% 2.33/2.54 ((~![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(z)), 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))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.33/2.54 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 2.33/2.54 tff(6302,plain,
% 2.33/2.54 (~r(s(s(z)), s(z))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[6301, 17, 58, 6295, 65, 61])).
% 2.33/2.54 tff(6303,plain,
% 2.33/2.54 (b(s(s(z)), s(z))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[195, 6302])).
% 2.33/2.54 tff(6304,plain,
% 2.33/2.54 (~b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[4980, 6303, 65, 2, 58, 59])).
% 2.33/2.54 tff(6305,plain,
% 2.33/2.54 (r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[303, 6304])).
% 2.33/2.54 tff(6306,plain,
% 2.33/2.54 (~r(z, s(z))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[76, 6305, 58, 59])).
% 2.33/2.54 tff(6307,plain,
% 2.33/2.54 (b(z, s(z))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[88, 6306])).
% 2.33/2.54 tff(6308,plain,
% 2.33/2.54 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[6106, 6307, 6098, 4610, 6303, 4978])).
% 2.33/2.54 tff(6309,plain,
% 2.33/2.54 (r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.54 inference(unit_resolution,[status(thm)],[538, 6308])).
% 2.33/2.54 tff(6310,plain,
% 2.33/2.54 (((~![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(z), 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(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(s(z), 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(z))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6311,plain,
% 2.33/2.54 (((~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(s(z), 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(z))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.54 inference(rewrite,[status(thm)],[])).
% 2.33/2.54 tff(6312,plain,
% 2.33/2.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(s(z), 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(z))) | (~r(z, s(s(s(s(s(s(z))))))))))),
% 2.33/2.54 inference(monotonicity,[status(thm)],[6311])).
% 2.33/2.54 tff(6313,plain,
% 2.33/2.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(s(z), 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(z))) | (~r(z, s(s(s(s(s(s(z)))))))))),
% 2.33/2.55 inference(transitivity,[status(thm)],[6312, 6310])).
% 2.33/2.55 tff(6314,plain,
% 2.33/2.55 ((~![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(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))))),
% 2.33/2.55 inference(quant_inst,[status(thm)],[])).
% 2.33/2.55 tff(6315,plain,
% 2.33/2.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z))))))))),
% 2.33/2.55 inference(modus_ponens,[status(thm)],[6314, 6313])).
% 2.33/2.55 tff(6316,plain,
% 2.33/2.55 ($false),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6315, 17, 58, 6305, 59, 6309, 6293])).
% 2.33/2.55 tff(6317,plain,((~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.55 tff(6318,plain,
% 2.33/2.55 (~r(s(s(z)), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6317, 2, 59, 58, 61])).
% 2.33/2.55 tff(6319,plain,
% 2.33/2.55 (b(s(s(z)), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1392, 6318])).
% 2.33/2.55 tff(6320,plain,
% 2.33/2.55 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[3926, 57, 6098, 6243])).
% 2.33/2.55 tff(6321,plain,
% 2.33/2.55 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[496, 6320])).
% 2.33/2.55 tff(6322,plain,
% 2.33/2.55 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1050, 102, 4610, 6319, 57])).
% 2.33/2.55 tff(6323,plain,
% 2.33/2.55 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[232, 6322])).
% 2.33/2.55 tff(6324,plain,
% 2.33/2.55 (~r(s(s(z)), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[3785, 67, 61, 235])).
% 2.33/2.55 tff(6325,plain,
% 2.33/2.55 (b(s(s(z)), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[195, 6324])).
% 2.33/2.55 tff(6326,plain,
% 2.33/2.55 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6106, 89, 6098, 4610, 6325, 57])).
% 2.33/2.55 tff(6327,plain,
% 2.33/2.55 (r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[538, 6326])).
% 2.33/2.55 tff(6328,plain,
% 2.33/2.55 ($false),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6315, 17, 58, 67, 59, 6327, 305])).
% 2.33/2.55 tff(6329,plain,((~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), 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,[]))).
% 2.33/2.55 tff(6330,plain,
% 2.33/2.55 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6329, 57, 59, 6287, 58, 61, 6323])).
% 2.33/2.55 tff(6331,plain,
% 2.33/2.55 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[303, 6330])).
% 2.33/2.55 tff(6332,plain,
% 2.33/2.55 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[5897, 6331, 6319, 2, 57, 6321, 6253])).
% 2.33/2.55 tff(6333,plain,
% 2.33/2.55 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[538, 6332])).
% 2.33/2.55 tff(6334,plain,
% 2.33/2.55 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[262, 6333, 6243, 6319])).
% 2.33/2.55 tff(6335,plain,
% 2.33/2.55 (r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[252, 6334])).
% 2.33/2.55 tff(6336,plain,
% 2.33/2.55 (((~![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), 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(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(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(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.55 inference(rewrite,[status(thm)],[])).
% 2.33/2.55 tff(6337,plain,
% 2.33/2.55 (((~r(s(s(s(s(s(s(z)))))), z)) | (~r(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)))))))) | (~r(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)))))))) | (~r(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(s(z))))))))),
% 2.33/2.55 inference(rewrite,[status(thm)],[])).
% 2.33/2.55 tff(6338,plain,
% 2.33/2.55 (((~![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(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)))))))) | (~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), 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(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 2.33/2.55 inference(monotonicity,[status(thm)],[6337])).
% 2.33/2.55 tff(6339,plain,
% 2.33/2.55 (((~![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(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)))))))) | (~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), 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(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.55 inference(transitivity,[status(thm)],[6338, 6336])).
% 2.33/2.55 tff(6340,plain,
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% 2.33/2.55 inference(quant_inst,[status(thm)],[])).
% 2.33/2.55 tff(6341,plain,
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% 2.33/2.55 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 2.33/2.55 tff(6342,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[6341, 17, 59, 6335, 6287, 61, 6261])).
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% 2.33/2.55 tff(6344,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[6343, 2, 61, 59, 58])).
% 2.33/2.55 tff(6345,plain,
% 2.33/2.55 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1711, 6344])).
% 2.33/2.55 tff(6346,plain,
% 2.33/2.55 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6282, 6345, 58, 59, 2])).
% 2.33/2.55 tff(6347,plain,
% 2.33/2.55 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[303, 6346])).
% 2.33/2.55 tff(6348,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[3954, 17, 58, 3, 63, 2, 305])).
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% 2.33/2.55 tff(6350,plain,
% 2.33/2.55 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6349, 6345, 58, 2, 6287])).
% 2.33/2.55 tff(6351,plain,
% 2.33/2.55 (b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[252, 6350])).
% 2.33/2.55 tff(6352,plain,
% 2.33/2.55 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[4810, 6351, 4610, 6098, 6253, 6347])).
% 2.33/2.55 tff(6353,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[496, 6352])).
% 2.33/2.55 tff(6354,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[262, 6351, 6243, 6319])).
% 2.33/2.55 tff(6355,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[538, 6354])).
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% 2.33/2.55 (((~![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))))), z)) | (~r(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(s(s(s(z))))), z)) | (~r(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)))))),
% 2.33/2.55 inference(rewrite,[status(thm)],[])).
% 2.33/2.55 tff(6357,plain,
% 2.33/2.55 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), 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(z))))), 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))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.33/2.55 inference(rewrite,[status(thm)],[])).
% 2.33/2.55 tff(6358,plain,
% 2.33/2.55 (((~![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(z)))) | (~r(s(s(s(s(s(z))))), 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(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(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))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.33/2.55 inference(monotonicity,[status(thm)],[6357])).
% 2.33/2.55 tff(6359,plain,
% 2.33/2.55 (((~![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(z)))) | (~r(s(s(s(s(s(z))))), 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(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(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))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.33/2.55 inference(transitivity,[status(thm)],[6358, 6356])).
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% 2.33/2.55 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 2.33/2.55 tff(6362,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[6361, 17, 58, 5, 3, 1, 305])).
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% 2.33/2.55 tff(6364,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[6363, 6355, 6353, 6287, 58, 6345])).
% 2.33/2.55 tff(6365,plain,((~r(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.55 tff(6366,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[6365, 61, 59, 58])).
% 2.33/2.55 tff(6367,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[122, 6366])).
% 2.33/2.55 tff(6368,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[303, 6273])).
% 2.33/2.55 tff(6369,plain,
% 2.33/2.55 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1796, 6272, 59, 6265])).
% 2.33/2.55 tff(6370,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[165, 6369])).
% 2.33/2.55 tff(6371,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[76, 6368, 58, 59])).
% 2.33/2.55 tff(6372,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[88, 6371])).
% 2.33/2.55 tff(6373,plain,
% 2.33/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(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)))))))))),
% 2.33/2.55 inference(rewrite,[status(thm)],[])).
% 2.33/2.55 tff(6374,plain,
% 2.33/2.55 (((~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(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(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(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
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% 2.33/2.55 tff(6375,plain,
% 2.33/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(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))))))))))),
% 2.33/2.55 inference(monotonicity,[status(thm)],[6374])).
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% 2.33/2.55 inference(modus_ponens,[status(thm)],[6377, 6376])).
% 2.33/2.55 tff(6379,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[6378, 102, 540, 66, 168, 364, 382, 125])).
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% 2.33/2.55 tff(6381,plain,
% 2.33/2.55 (~b(s(s(z)), s(z))),
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% 2.33/2.55 tff(6382,plain,
% 2.33/2.55 (r(s(s(z)), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[195, 6381])).
% 2.33/2.55 tff(6383,plain,
% 2.33/2.55 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1823, 6382, 58, 59, 6368])).
% 2.33/2.55 tff(6384,plain,
% 2.33/2.55 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1711, 6383])).
% 2.33/2.55 tff(6385,plain,
% 2.33/2.55 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[3785, 6382, 61, 6368])).
% 2.33/2.55 tff(6386,plain,
% 2.33/2.55 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[232, 6385])).
% 2.33/2.55 tff(6387,plain,
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% 2.33/2.55 inference(unit_resolution,[status(thm)],[4618, 6386, 6384, 4610, 6367])).
% 2.33/2.55 tff(6388,plain,((~b(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(s(s(s(z))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.55 tff(6389,plain,
% 2.33/2.55 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6388, 61, 58, 59])).
% 2.33/2.55 tff(6390,plain,
% 2.33/2.55 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[341, 6389])).
% 2.33/2.55 tff(6391,plain,
% 2.33/2.55 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[2231, 4, 58, 6367, 6390, 3])).
% 2.33/2.55 tff(6392,plain,
% 2.33/2.55 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[496, 6391])).
% 2.33/2.55 tff(6393,plain,
% 2.33/2.55 (~b(s(z), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[4894, 6392, 4610, 6367])).
% 2.33/2.55 tff(6394,plain,
% 2.33/2.55 (r(s(z), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[698, 6393])).
% 2.33/2.55 tff(6395,plain,
% 2.33/2.55 (~b(s(s(z)), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[777, 6392, 6367, 4])).
% 2.33/2.55 tff(6396,plain,
% 2.33/2.55 (r(s(s(z)), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1392, 6395])).
% 2.33/2.55 tff(6397,plain,
% 2.33/2.55 ($false),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[4910, 6396, 6394, 59, 3, 61])).
% 2.33/2.55 tff(6398,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), 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(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.55 tff(6399,plain,
% 2.33/2.55 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6398, 3, 59, 61, 58])).
% 2.33/2.55 tff(6400,plain,
% 2.33/2.55 (r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[252, 6399])).
% 2.33/2.55 tff(6401,plain,
% 2.33/2.55 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6341, 17, 59, 6400, 6390, 61])).
% 2.33/2.55 tff(6402,plain,
% 2.33/2.55 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[165, 6401])).
% 2.33/2.55 tff(6403,plain,
% 2.33/2.55 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6380, 5968, 66, 6098, 4610, 89])).
% 2.33/2.55 tff(6404,plain,
% 2.33/2.55 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[165, 6403])).
% 2.33/2.55 tff(6405,plain,
% 2.33/2.55 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[2185, 6404, 305, 3, 67])).
% 2.33/2.55 tff(6406,plain,
% 2.33/2.55 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[496, 6405])).
% 2.33/2.55 tff(6407,plain,
% 2.33/2.55 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[1983, 6406, 66, 124])).
% 2.33/2.55 tff(6408,plain,
% 2.33/2.55 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[2015, 6404, 59, 66, 58, 3, 67])).
% 2.33/2.55 tff(6409,plain,
% 2.33/2.55 (r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[252, 6408])).
% 2.33/2.55 tff(6410,plain,
% 2.33/2.55 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[2165, 6409, 58, 305, 3])).
% 2.33/2.55 tff(6411,plain,
% 2.33/2.55 ($false),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[279, 6410, 6407])).
% 2.33/2.55 tff(6412,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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.55 tff(6413,plain,
% 2.33/2.55 (~r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[6412, 3, 6390, 58, 6367, 124, 59])).
% 2.33/2.55 tff(6414,plain,
% 2.33/2.55 (b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.55 inference(unit_resolution,[status(thm)],[303, 6413])).
% 2.33/2.55 tff(6415,plain,
% 2.33/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6416,plain,
% 2.33/2.56 (((~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(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(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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6417,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.33/2.56 inference(monotonicity,[status(thm)],[6416])).
% 2.33/2.56 tff(6418,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.33/2.56 inference(transitivity,[status(thm)],[6417, 6415])).
% 2.33/2.56 tff(6419,plain,
% 2.33/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.33/2.56 inference(quant_inst,[status(thm)],[])).
% 2.33/2.56 tff(6420,plain,
% 2.33/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.33/2.56 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 2.33/2.56 tff(6421,plain,
% 2.33/2.56 ($false),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6420, 102, 4610, 6414, 6098, 124, 6402])).
% 2.33/2.56 tff(6422,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.56 tff(6423,plain,
% 2.33/2.56 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6422, 124, 59, 61, 58])).
% 2.33/2.56 tff(6424,plain,
% 2.33/2.56 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[1711, 6423])).
% 2.33/2.56 tff(6425,plain,
% 2.33/2.56 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[4618, 6424, 4610, 6367])).
% 2.33/2.56 tff(6426,plain,
% 2.33/2.56 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[232, 6425])).
% 2.33/2.56 tff(6427,plain,
% 2.33/2.56 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[4059, 63, 364, 58, 66, 57])).
% 2.33/2.56 tff(6428,plain,
% 2.33/2.56 (~b(s(s(z)), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[719, 57, 4610, 66])).
% 2.33/2.56 tff(6429,plain,
% 2.33/2.56 (r(s(s(z)), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[1392, 6428])).
% 2.33/2.56 tff(6430,plain,
% 2.33/2.56 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[4618, 57, 4610, 66])).
% 2.33/2.56 tff(6431,plain,
% 2.33/2.56 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[232, 6430])).
% 2.33/2.56 tff(6432,plain,
% 2.33/2.56 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[3317, 63, 6431, 305, 6429])).
% 2.33/2.56 tff(6433,plain,
% 2.33/2.56 ($false),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[279, 6432, 6427])).
% 2.33/2.56 tff(6434,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.56 tff(6435,plain,
% 2.33/2.56 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6434, 6424, 6098, 58, 6367, 6390])).
% 2.33/2.56 tff(6436,plain,
% 2.33/2.56 (b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[252, 6435])).
% 2.33/2.56 tff(6437,plain,
% 2.33/2.56 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[2034, 6436, 6367, 124])).
% 2.33/2.56 tff(6438,plain,
% 2.33/2.56 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[279, 6437])).
% 2.33/2.56 tff(6439,plain,
% 2.33/2.56 (~r(s(s(z)), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[3920, 17, 6426, 6438, 6390, 61])).
% 2.33/2.56 tff(6440,plain,
% 2.33/2.56 (b(s(s(z)), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[195, 6439])).
% 2.33/2.56 tff(6441,plain,
% 2.33/2.56 (~b(s(z), s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[5666, 6440, 4610, 6367, 6424])).
% 2.33/2.56 tff(6442,plain,
% 2.33/2.56 (r(s(z), s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[698, 6441])).
% 2.33/2.56 tff(6443,plain,
% 2.33/2.56 ($false),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[5214, 17, 6442, 58, 6426, 59, 61])).
% 2.33/2.56 tff(6444,plain,((~b(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.56 tff(6445,plain,
% 2.33/2.56 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6444, 61, 59, 58])).
% 2.33/2.56 tff(6446,plain,
% 2.33/2.56 (r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[538, 6445])).
% 2.33/2.56 tff(6447,plain,
% 2.33/2.56 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[680, 6446, 58, 6390])).
% 2.33/2.56 tff(6448,plain,
% 2.33/2.56 (b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[252, 6447])).
% 2.33/2.56 tff(6449,plain,
% 2.33/2.56 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[3151, 6448, 6367, 58, 6390, 6446])).
% 2.33/2.56 tff(6450,plain,
% 2.33/2.56 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[1711, 6449])).
% 2.33/2.56 tff(6451,plain,
% 2.33/2.56 (~b(s(s(z)), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[719, 6450, 4610, 6367])).
% 2.33/2.56 tff(6452,plain,
% 2.33/2.56 (r(s(s(z)), z)),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[1392, 6451])).
% 2.33/2.56 tff(6453,plain,
% 2.33/2.56 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[4618, 6450, 4610, 6367])).
% 2.33/2.56 tff(6454,plain,
% 2.33/2.56 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[232, 6453])).
% 2.33/2.56 tff(6455,plain,
% 2.33/2.56 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[1483, 6454, 58, 6446, 6452])).
% 2.33/2.56 tff(6456,plain,
% 2.33/2.56 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[279, 6455])).
% 2.33/2.56 tff(6457,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6458,plain,
% 2.33/2.56 (((~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(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(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(s(s(s(s(z))))))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6459,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(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(s(z)))))))))),
% 2.33/2.56 inference(monotonicity,[status(thm)],[6458])).
% 2.33/2.56 tff(6460,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(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(s(z))))))))),
% 2.33/2.56 inference(transitivity,[status(thm)],[6459, 6457])).
% 2.33/2.56 tff(6461,plain,
% 2.33/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.33/2.56 inference(quant_inst,[status(thm)],[])).
% 2.33/2.56 tff(6462,plain,
% 2.33/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 2.33/2.56 tff(6463,plain,
% 2.33/2.56 ($false),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6462, 102, 4610, 6367, 6098, 6450, 6456])).
% 2.33/2.56 tff(6464,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.56 tff(6465,plain,
% 2.33/2.56 (~r(s(z), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6464, 59, 58])).
% 2.33/2.56 tff(6466,plain,
% 2.33/2.56 (b(s(z), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[3202, 6465])).
% 2.33/2.56 tff(6467,plain,
% 2.33/2.56 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[2151, 6265, 59, 58, 6098, 6466])).
% 2.33/2.56 tff(6468,plain,
% 2.33/2.56 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[538, 6467])).
% 2.33/2.56 tff(6469,plain,
% 2.33/2.56 ($false),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6126, 102, 4610, 6098, 6468, 60])).
% 2.33/2.56 tff(6470,plain,((~b(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))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.56 tff(6471,plain,
% 2.33/2.56 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6470, 59, 58])).
% 2.33/2.56 tff(6472,plain,
% 2.33/2.56 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[341, 6471])).
% 2.33/2.56 tff(6473,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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))))))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6474,plain,
% 2.33/2.56 (((~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(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(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(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6475,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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)))))))))),
% 2.33/2.56 inference(monotonicity,[status(thm)],[6474])).
% 2.33/2.56 tff(6476,plain,
% 2.33/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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))))))))),
% 2.33/2.56 inference(transitivity,[status(thm)],[6475, 6473])).
% 2.33/2.56 tff(6477,plain,
% 2.33/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.33/2.56 inference(quant_inst,[status(thm)],[])).
% 2.33/2.56 tff(6478,plain,
% 2.33/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 2.33/2.56 tff(6479,plain,
% 2.33/2.56 ($false),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6478, 102, 540, 343, 4, 364, 91])).
% 2.33/2.56 tff(6480,plain,((~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)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.56 tff(6481,plain,
% 2.33/2.56 (~b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6480, 4, 4610, 6098, 6466])).
% 2.33/2.56 tff(6482,plain,
% 2.33/2.56 (r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[303, 6481])).
% 2.33/2.56 tff(6483,plain,
% 2.33/2.56 ($false),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6315, 17, 58, 67, 59, 1, 6472])).
% 2.33/2.56 tff(6484,plain,((~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(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.56 tff(6485,plain,
% 2.33/2.56 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6484, 6482, 58, 59])).
% 2.33/2.56 tff(6486,plain,
% 2.33/2.56 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[538, 6485])).
% 2.33/2.56 tff(6487,plain,
% 2.33/2.56 (~r(z, s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[76, 6482, 58, 59])).
% 2.33/2.56 tff(6488,plain,
% 2.33/2.56 (b(z, s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[88, 6487])).
% 2.33/2.56 tff(6489,plain,
% 2.33/2.56 (~b(s(s(z)), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[6106, 57, 6098, 4610, 6488, 6486])).
% 2.33/2.56 tff(6490,plain,
% 2.33/2.56 (r(s(s(z)), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[195, 6489])).
% 2.33/2.56 tff(6491,plain,
% 2.33/2.56 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[455, 6486, 6488, 4])).
% 2.33/2.56 tff(6492,plain,
% 2.33/2.56 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[165, 6491])).
% 2.33/2.56 tff(6493,plain,
% 2.33/2.56 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[288, 62, 6482, 6490, 6492])).
% 2.33/2.56 tff(6494,plain,
% 2.33/2.56 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[232, 6493])).
% 2.33/2.56 tff(6495,plain,
% 2.33/2.56 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[1441, 62, 6490, 6492])).
% 2.33/2.56 tff(6496,plain,
% 2.33/2.56 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[409, 6495])).
% 2.33/2.56 tff(6497,plain,
% 2.33/2.56 (~b(z, s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[1653, 6496, 6466, 6486, 57, 6488])).
% 2.33/2.56 tff(6498,plain,
% 2.33/2.56 (r(z, s(s(z)))),
% 2.33/2.56 inference(unit_resolution,[status(thm)],[122, 6497])).
% 2.33/2.56 tff(6499,plain,
% 2.33/2.56 (((~![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), 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(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(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6500,plain,
% 2.33/2.56 (((~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(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.33/2.56 inference(rewrite,[status(thm)],[])).
% 2.33/2.56 tff(6501,plain,
% 2.33/2.56 (((~![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), 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(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 2.33/2.56 inference(monotonicity,[status(thm)],[6500])).
% 2.33/2.56 tff(6502,plain,
% 2.33/2.56 (((~![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), 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(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.33/2.56 inference(transitivity,[status(thm)],[6501, 6499])).
% 2.33/2.56 tff(6503,plain,
% 2.33/2.56 ((~![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), 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)))))))),
% 2.33/2.56 inference(quant_inst,[status(thm)],[])).
% 2.33/2.56 tff(6504,plain,
% 2.33/2.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.33/2.57 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 2.33/2.57 tff(6505,plain,
% 2.33/2.57 ($false),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6504, 17, 58, 67, 59, 4318, 2926])).
% 2.33/2.57 tff(6506,plain,((~r(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(z), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.57 tff(6507,plain,
% 2.33/2.57 (~r(s(s(s(s(z)))), s(z))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6506, 4318, 67, 59, 58])).
% 2.33/2.57 tff(6508,plain,
% 2.33/2.57 (b(s(s(s(s(z)))), s(z))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[1573, 6507])).
% 2.33/2.57 tff(6509,assumption,(r(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.33/2.57 tff(6510,plain,
% 2.33/2.57 (((~![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))))), 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(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(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6511,plain,
% 2.33/2.57 (((~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(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6512,plain,
% 2.33/2.57 (((~![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)))), 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(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.33/2.57 inference(monotonicity,[status(thm)],[6511])).
% 2.33/2.57 tff(6513,plain,
% 2.33/2.57 (((~![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)))), 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(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.33/2.57 inference(transitivity,[status(thm)],[6512, 6510])).
% 2.33/2.57 tff(6514,plain,
% 2.33/2.57 ((~![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)))), 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))))),
% 2.33/2.57 inference(quant_inst,[status(thm)],[])).
% 2.33/2.57 tff(6515,plain,
% 2.33/2.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))),
% 2.33/2.57 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 2.33/2.57 tff(6516,plain,
% 2.33/2.57 ($false),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6515, 17, 58, 67, 4318, 1537, 6509])).
% 2.33/2.57 tff(6517,plain,((~r(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(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.57 tff(6518,plain,
% 2.33/2.57 (~r(s(z), s(s(s(s(z)))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6517, 4318, 67, 58, 1537])).
% 2.33/2.57 tff(6519,plain,
% 2.33/2.57 ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z)))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[4276, 49, 6518])).
% 2.33/2.57 tff(6520,plain,
% 2.33/2.57 (b(s(z), s(s(s(s(z)))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6519, 4043])).
% 2.33/2.57 tff(6521,plain,
% 2.33/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6522,plain,
% 2.33/2.57 (((~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(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(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(z))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6523,plain,
% 2.33/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))),
% 2.33/2.57 inference(monotonicity,[status(thm)],[6522])).
% 2.33/2.57 tff(6524,plain,
% 2.33/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z))))),
% 2.33/2.57 inference(transitivity,[status(thm)],[6523, 6521])).
% 2.33/2.57 tff(6525,plain,
% 2.33/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 2.33/2.57 inference(quant_inst,[status(thm)],[])).
% 2.33/2.57 tff(6526,plain,
% 2.33/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.33/2.57 inference(modus_ponens,[status(thm)],[6525, 6524])).
% 2.33/2.57 tff(6527,plain,
% 2.33/2.57 ($false),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6526, 102, 540, 2300, 382, 3411, 91, 4279])).
% 2.33/2.57 tff(6528,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(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(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.57 tff(6529,plain,
% 2.33/2.57 (~b(z, s(s(s(s(z)))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6528, 6520, 6508, 89, 4610, 6466])).
% 2.33/2.57 tff(6530,plain,
% 2.33/2.57 (r(z, s(s(s(s(z)))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[54, 6529])).
% 2.33/2.57 tff(6531,plain,
% 2.33/2.57 (((~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(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6532,plain,
% 2.33/2.57 (((~![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)))), 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(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.33/2.57 inference(monotonicity,[status(thm)],[6531])).
% 2.33/2.57 tff(6533,plain,
% 2.33/2.57 (((~![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)))), 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(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.33/2.57 inference(transitivity,[status(thm)],[6532, 2116])).
% 2.33/2.57 tff(6534,plain,
% 2.33/2.57 ((~![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)))), 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)))),
% 2.33/2.57 inference(quant_inst,[status(thm)],[])).
% 2.33/2.57 tff(6535,plain,
% 2.33/2.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.33/2.57 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 2.33/2.57 tff(6536,plain,
% 2.33/2.57 ($false),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6535, 17, 58, 4318, 6530, 1537])).
% 2.33/2.57 tff(6537,plain,((~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(z)))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.57 tff(6538,plain,
% 2.33/2.57 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6537, 1537, 58, 67, 59])).
% 2.33/2.57 tff(6539,plain,
% 2.33/2.57 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[2114, 6538])).
% 2.33/2.57 tff(6540,plain,
% 2.33/2.57 ($false),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[5145, 102, 540, 5086, 3411, 3594])).
% 2.33/2.57 tff(6541,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.57 tff(6542,plain,
% 2.33/2.57 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6541, 3411, 5086, 4610])).
% 2.33/2.57 tff(6543,assumption,(~r(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.33/2.57 tff(6544,assumption,(~b(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.33/2.57 tff(6545,plain,
% 2.33/2.57 ($false),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 6544, 6543])).
% 2.33/2.57 tff(6546,plain,(r(s(s(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,[]))).
% 2.33/2.57 tff(6547,plain,
% 2.33/2.57 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6546, 6542])).
% 2.33/2.57 tff(6548,plain,
% 2.33/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6549,plain,
% 2.33/2.57 (((~b(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(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(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)))), s(s(z)))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6550,plain,
% 2.33/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), 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(X0, 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(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))))))),
% 2.33/2.57 inference(monotonicity,[status(thm)],[6549])).
% 2.33/2.57 tff(6551,plain,
% 2.33/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), 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(X0, 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(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)))))),
% 2.33/2.57 inference(transitivity,[status(thm)],[6550, 6548])).
% 2.33/2.57 tff(6552,plain,
% 2.33/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), 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))))))))),
% 2.33/2.57 inference(quant_inst,[status(thm)],[])).
% 2.33/2.57 tff(6553,plain,
% 2.33/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.33/2.57 inference(modus_ponens,[status(thm)],[6552, 6551])).
% 2.33/2.57 tff(6554,plain,
% 2.33/2.57 ($false),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6553, 102, 540, 197, 5086, 3411, 1588])).
% 2.33/2.57 tff(6555,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~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))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.57 tff(6556,plain,
% 2.33/2.57 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[6555, 3411, 197, 5086, 4610])).
% 2.33/2.57 tff(6557,plain,
% 2.33/2.57 (r(s(s(s(s(z)))), s(s(z)))),
% 2.33/2.57 inference(unit_resolution,[status(thm)],[2048, 6556])).
% 2.33/2.57 tff(6558,plain,
% 2.33/2.57 (((~![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))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), 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(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.33/2.57 inference(rewrite,[status(thm)],[])).
% 2.33/2.57 tff(6559,plain,
% 2.33/2.57 (((~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(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6560,plain,
% 2.33/2.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.33/2.58 inference(monotonicity,[status(thm)],[6559])).
% 2.33/2.58 tff(6561,plain,
% 2.33/2.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(s(s(s(s(s(z))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.33/2.58 inference(transitivity,[status(thm)],[6560, 6558])).
% 2.33/2.58 tff(6562,plain,
% 2.33/2.58 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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))))))))),
% 2.33/2.58 inference(quant_inst,[status(thm)],[])).
% 2.33/2.58 tff(6563,plain,
% 2.33/2.58 ((~![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))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.33/2.58 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 2.33/2.58 tff(6564,plain,
% 2.33/2.58 (~r(s(s(s(s(z)))), z)),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6563, 17, 58, 2, 6557, 6547])).
% 2.33/2.58 tff(6565,plain,
% 2.33/2.58 (b(s(s(s(s(z)))), z)),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[2083, 6564])).
% 2.33/2.58 tff(6566,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, 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)))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6567,plain,
% 2.33/2.58 (((~b(z, 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(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)))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6568,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))),
% 2.33/2.58 inference(monotonicity,[status(thm)],[6567])).
% 2.33/2.58 tff(6569,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))),
% 2.33/2.58 inference(transitivity,[status(thm)],[6568, 6566])).
% 2.33/2.58 tff(6570,plain,
% 2.33/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.33/2.58 inference(quant_inst,[status(thm)],[])).
% 2.33/2.58 tff(6571,plain,
% 2.33/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.33/2.58 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 2.33/2.58 tff(6572,plain,
% 2.33/2.58 ($false),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6571, 102, 4610, 5086, 3411, 6565])).
% 2.33/2.58 tff(6573,plain,((~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(z))))), z)) | (~r(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.58 tff(6574,plain,
% 2.33/2.58 (~b(z, s(s(s(s(z)))))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6573, 6539, 58, 2, 197])).
% 2.33/2.58 tff(6575,plain,
% 2.33/2.58 (r(z, s(s(s(s(z)))))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[54, 6574])).
% 2.33/2.58 tff(6576,plain,
% 2.33/2.58 (((~![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(s(s(z)))), z)) | (~r(z, 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), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6577,plain,
% 2.33/2.58 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6578,plain,
% 2.33/2.58 (((~![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(z)))), z)) | (~r(s(z), 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(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.33/2.58 inference(monotonicity,[status(thm)],[6577])).
% 2.33/2.58 tff(6579,plain,
% 2.33/2.58 (((~![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(z)))), z)) | (~r(s(z), 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(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.33/2.58 inference(transitivity,[status(thm)],[6578, 6576])).
% 2.33/2.58 tff(6580,plain,
% 2.33/2.58 ((~![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(z)))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))),
% 2.33/2.58 inference(quant_inst,[status(thm)],[])).
% 2.33/2.58 tff(6581,plain,
% 2.33/2.58 ((~![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(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))),
% 2.33/2.58 inference(modus_ponens,[status(thm)],[6580, 6579])).
% 2.33/2.58 tff(6582,plain,
% 2.33/2.58 (~r(s(z), s(s(s(s(z)))))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6581, 17, 59, 6575, 1537])).
% 2.33/2.58 tff(6583,plain,
% 2.33/2.58 ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z)))))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[4276, 49, 6582])).
% 2.33/2.58 tff(6584,plain,
% 2.33/2.58 (b(s(z), s(s(s(s(z)))))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6583, 4043])).
% 2.33/2.58 tff(6585,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(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(X0, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6586,plain,
% 2.33/2.58 (((~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(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(s(s(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))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6587,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z))))))))),
% 2.33/2.58 inference(monotonicity,[status(thm)],[6586])).
% 2.33/2.58 tff(6588,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.33/2.58 inference(transitivity,[status(thm)],[6587, 6585])).
% 2.33/2.58 tff(6589,plain,
% 2.33/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 2.33/2.58 inference(quant_inst,[status(thm)],[])).
% 2.33/2.58 tff(6590,plain,
% 2.33/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z))))))),
% 2.33/2.58 inference(modus_ponens,[status(thm)],[6589, 6588])).
% 2.33/2.58 tff(6591,plain,
% 2.33/2.58 ($false),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6590, 102, 5086, 91, 3594, 4279])).
% 2.33/2.58 tff(6592,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(s(z))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.58 tff(6593,plain,
% 2.33/2.58 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6592, 6539, 6466, 6584])).
% 2.33/2.58 tff(6594,plain,
% 2.33/2.58 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6546, 6593])).
% 2.33/2.58 tff(6595,plain,
% 2.33/2.58 (((~![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(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(s(z), 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))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6596,plain,
% 2.33/2.58 (((~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(z), 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))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6597,plain,
% 2.33/2.58 (((~![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(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(z), 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)))))),
% 2.33/2.58 inference(monotonicity,[status(thm)],[6596])).
% 2.33/2.58 tff(6598,plain,
% 2.33/2.58 (((~![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(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(z), 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))))),
% 2.33/2.58 inference(transitivity,[status(thm)],[6597, 6595])).
% 2.33/2.58 tff(6599,plain,
% 2.33/2.58 ((~![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(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))))))))),
% 2.33/2.58 inference(quant_inst,[status(thm)],[])).
% 2.33/2.58 tff(6600,plain,
% 2.33/2.58 ((~![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(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)))),
% 2.33/2.58 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 2.33/2.58 tff(6601,plain,
% 2.33/2.58 ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6600, 17, 67, 59, 1537])).
% 2.33/2.58 tff(6602,plain,
% 2.33/2.58 (~r(s(s(s(s(z)))), s(z))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6601, 6594])).
% 2.33/2.58 tff(6603,plain,
% 2.33/2.58 (b(s(s(s(s(z)))), s(z))),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[1573, 6602])).
% 2.33/2.58 tff(6604,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(z), 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(X0, 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(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6605,plain,
% 2.33/2.58 (((~b(s(z), 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(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(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(z))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6606,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.33/2.58 inference(monotonicity,[status(thm)],[6605])).
% 2.33/2.58 tff(6607,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.33/2.58 inference(transitivity,[status(thm)],[6606, 6604])).
% 2.33/2.58 tff(6608,plain,
% 2.33/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.33/2.58 inference(quant_inst,[status(thm)],[])).
% 2.33/2.58 tff(6609,plain,
% 2.33/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.33/2.58 inference(modus_ponens,[status(thm)],[6608, 6607])).
% 2.33/2.58 tff(6610,plain,
% 2.33/2.58 ($false),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6609, 102, 6539, 6603, 6466, 6584])).
% 2.33/2.58 tff(6611,plain,((~r(s(s(s(s(z)))), 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(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.58 tff(6612,plain,
% 2.33/2.58 (~r(s(s(s(s(z)))), z)),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[6611, 6498, 59, 58, 6482, 6494])).
% 2.33/2.58 tff(6613,plain,
% 2.33/2.58 (b(s(s(s(s(z)))), z)),
% 2.33/2.58 inference(unit_resolution,[status(thm)],[2083, 6612])).
% 2.33/2.58 tff(6614,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6615,plain,
% 2.33/2.58 (((~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(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)))))), 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(s(s(z)))))))),
% 2.33/2.58 inference(rewrite,[status(thm)],[])).
% 2.33/2.58 tff(6616,plain,
% 2.33/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 2.33/2.59 inference(monotonicity,[status(thm)],[6615])).
% 2.33/2.59 tff(6617,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.33/2.59 inference(transitivity,[status(thm)],[6616, 6614])).
% 2.33/2.59 tff(6618,plain,
% 2.33/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.33/2.59 inference(quant_inst,[status(thm)],[])).
% 2.33/2.59 tff(6619,plain,
% 2.33/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.33/2.59 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 2.33/2.59 tff(6620,plain,
% 2.33/2.59 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6619, 102, 4, 6486, 6613])).
% 2.33/2.59 tff(6621,plain,
% 2.33/2.59 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 6620])).
% 2.33/2.59 tff(6622,plain,
% 2.33/2.59 (~b(s(z), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[205, 6494, 6466, 57])).
% 2.33/2.59 tff(6623,plain,
% 2.33/2.59 (r(s(z), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[698, 6622])).
% 2.33/2.59 tff(6624,plain,
% 2.33/2.59 (~r(s(s(z)), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1419, 6623, 59, 6498])).
% 2.33/2.59 tff(6625,plain,
% 2.33/2.59 (b(s(s(z)), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1392, 6624])).
% 2.33/2.59 tff(6626,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))),
% 2.33/2.59 inference(rewrite,[status(thm)],[])).
% 2.33/2.59 tff(6627,plain,
% 2.33/2.59 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(s(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(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)))),
% 2.33/2.59 inference(rewrite,[status(thm)],[])).
% 2.33/2.59 tff(6628,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(s(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(X0, 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(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))))),
% 2.33/2.59 inference(monotonicity,[status(thm)],[6627])).
% 2.33/2.59 tff(6629,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(s(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(X0, 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(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)))),
% 2.33/2.59 inference(transitivity,[status(thm)],[6628, 6626])).
% 2.33/2.59 tff(6630,plain,
% 2.33/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(s(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)))),
% 2.33/2.59 inference(quant_inst,[status(thm)],[])).
% 2.33/2.59 tff(6631,plain,
% 2.33/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.33/2.59 inference(modus_ponens,[status(thm)],[6630, 6629])).
% 2.33/2.59 tff(6632,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6631, 102, 540, 56, 197, 5086, 3410])).
% 2.33/2.59 tff(6633,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(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,[]))).
% 2.33/2.59 tff(6634,plain,
% 2.33/2.59 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6633, 6613, 6625, 4610, 6494])).
% 2.33/2.59 tff(6635,plain,
% 2.33/2.59 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[2114, 6634])).
% 2.33/2.59 tff(6636,plain,
% 2.33/2.59 (~r(s(s(s(s(z)))), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6506, 6635, 6482, 59, 58])).
% 2.33/2.59 tff(6637,plain,
% 2.33/2.59 (b(s(s(s(s(z)))), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1573, 6636])).
% 2.33/2.59 tff(6638,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 2.33/2.59 inference(rewrite,[status(thm)],[])).
% 2.33/2.59 tff(6639,plain,
% 2.33/2.59 (((~b(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)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), 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(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))))),
% 2.33/2.59 inference(rewrite,[status(thm)],[])).
% 2.33/2.59 tff(6640,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))),
% 2.33/2.59 inference(monotonicity,[status(thm)],[6639])).
% 2.33/2.59 tff(6641,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))),
% 2.33/2.59 inference(transitivity,[status(thm)],[6640, 6638])).
% 2.33/2.59 tff(6642,plain,
% 2.33/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.33/2.59 inference(quant_inst,[status(thm)],[])).
% 2.33/2.59 tff(6643,plain,
% 2.33/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.33/2.59 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 2.33/2.59 tff(6644,plain,
% 2.33/2.59 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6643, 102, 4, 6486, 6637, 6488, 6613])).
% 2.33/2.59 tff(6645,plain,
% 2.33/2.59 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[2072, 6644])).
% 2.33/2.59 tff(6646,plain,
% 2.33/2.59 (((~![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(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(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(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)))))))))),
% 2.33/2.59 inference(rewrite,[status(thm)],[])).
% 2.33/2.59 tff(6647,plain,
% 2.33/2.59 (((~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(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)))))))))),
% 2.33/2.59 inference(rewrite,[status(thm)],[])).
% 2.33/2.59 tff(6648,plain,
% 2.33/2.59 (((~![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(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(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))))))))))),
% 2.33/2.59 inference(monotonicity,[status(thm)],[6647])).
% 2.33/2.59 tff(6649,plain,
% 2.33/2.59 (((~![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(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(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)))))))))),
% 2.33/2.59 inference(transitivity,[status(thm)],[6648, 6646])).
% 2.33/2.59 tff(6650,plain,
% 2.33/2.59 ((~![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(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)))))))))),
% 2.33/2.59 inference(quant_inst,[status(thm)],[])).
% 2.33/2.59 tff(6651,plain,
% 2.33/2.59 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.33/2.59 inference(modus_ponens,[status(thm)],[6650, 6649])).
% 2.33/2.59 tff(6652,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6651, 17, 6472, 6635, 6645, 6621])).
% 2.33/2.59 tff(6653,plain,((~r(s(s(z)), s(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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.59 tff(6654,plain,
% 2.33/2.59 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6653, 57, 59, 58, 4])).
% 2.33/2.59 tff(6655,plain,
% 2.33/2.59 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[279, 6654])).
% 2.33/2.59 tff(6656,plain,
% 2.33/2.59 (~b(s(s(z)), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[262, 6655, 4, 6486])).
% 2.33/2.59 tff(6657,plain,
% 2.33/2.59 (r(s(s(z)), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1392, 6656])).
% 2.33/2.59 tff(6658,plain,
% 2.33/2.59 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1433, 6657, 59, 6482, 6490])).
% 2.33/2.59 tff(6659,plain,
% 2.33/2.59 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[232, 6658])).
% 2.33/2.59 tff(6660,plain,
% 2.33/2.59 (~b(z, s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[2034, 6655, 6486, 4])).
% 2.33/2.59 tff(6661,plain,
% 2.33/2.59 (r(z, s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[122, 6660])).
% 2.33/2.59 tff(6662,plain,
% 2.33/2.59 (~r(s(z), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1419, 6657, 59, 6661])).
% 2.33/2.59 tff(6663,plain,
% 2.33/2.59 (b(s(z), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[698, 6662])).
% 2.33/2.59 tff(6664,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[205, 6663, 6659, 6466, 57])).
% 2.33/2.59 tff(6665,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.59 tff(6666,plain,
% 2.33/2.59 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6665, 4, 59, 58])).
% 2.33/2.59 tff(6667,plain,
% 2.33/2.59 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1711, 6666])).
% 2.33/2.59 tff(6668,plain,
% 2.33/2.59 (~r(z, s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6282, 6667, 58, 59, 6482])).
% 2.33/2.59 tff(6669,plain,
% 2.33/2.59 (~b(z, s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6412, 6667, 6472, 58, 6482, 6486, 59])).
% 2.33/2.59 tff(6670,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[122, 6669, 6668])).
% 2.33/2.59 tff(6671,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.59 tff(6672,plain,
% 2.33/2.59 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6671, 59, 58])).
% 2.33/2.59 tff(6673,plain,
% 2.33/2.59 (r(s(s(s(s(s(s(z)))))), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[252, 6672])).
% 2.33/2.59 tff(6674,plain,
% 2.33/2.59 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6434, 66, 6098, 58, 6673, 6472])).
% 2.33/2.59 tff(6675,plain,
% 2.33/2.59 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[2151, 6673, 59, 58, 6098, 6466])).
% 2.33/2.59 tff(6676,plain,
% 2.33/2.59 (b(z, s(s(s(s(s(s(z)))))))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[538, 6675])).
% 2.33/2.59 tff(6677,plain,
% 2.33/2.59 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1520, 343, 364, 91])).
% 2.33/2.59 tff(6678,plain,
% 2.33/2.59 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[409, 6677])).
% 2.33/2.59 tff(6679,plain,
% 2.33/2.59 (~b(z, s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[5861, 343, 540, 91])).
% 2.33/2.59 tff(6680,plain,
% 2.33/2.59 (r(z, s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[88, 6679])).
% 2.33/2.59 tff(6681,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1930, 6680, 6678, 59, 63])).
% 2.33/2.59 tff(6682,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.59 tff(6683,plain,
% 2.33/2.59 (~b(s(s(s(s(s(z))))), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6682, 59, 6673, 4610, 6466, 6098])).
% 2.33/2.59 tff(6684,plain,
% 2.33/2.59 (r(s(s(s(s(s(z))))), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[303, 6683])).
% 2.33/2.59 tff(6685,plain,
% 2.33/2.59 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6412, 66, 6472, 58, 6684, 6676, 59])).
% 2.33/2.59 tff(6686,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1711, 6685, 6674])).
% 2.33/2.59 tff(6687,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.59 tff(6688,plain,
% 2.33/2.59 (~b(z, s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6687, 59, 58])).
% 2.33/2.59 tff(6689,plain,
% 2.33/2.59 (r(z, s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[122, 6688])).
% 2.33/2.59 tff(6690,plain,
% 2.33/2.59 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6349, 6689, 58, 6673, 6472])).
% 2.33/2.59 tff(6691,plain,
% 2.33/2.59 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1711, 6690])).
% 2.33/2.59 tff(6692,plain,
% 2.33/2.59 (~r(z, s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[76, 6684, 58, 59])).
% 2.33/2.59 tff(6693,plain,
% 2.33/2.59 (b(z, s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[88, 6692])).
% 2.33/2.59 tff(6694,plain,
% 2.33/2.59 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6136, 56, 540, 57, 364])).
% 2.33/2.59 tff(6695,plain,
% 2.33/2.59 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[496, 6694])).
% 2.33/2.59 tff(6696,plain,
% 2.33/2.59 (~b(s(z), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[548, 56, 540, 91, 57])).
% 2.33/2.59 tff(6697,plain,
% 2.33/2.59 (r(s(z), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[698, 6696])).
% 2.33/2.59 tff(6698,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1506, 6697, 6695, 59, 63, 382, 2, 124])).
% 2.33/2.59 tff(6699,plain,((~b(s(s(z)), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~r(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.59 tff(6700,plain,
% 2.33/2.59 (~b(s(s(z)), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6699, 59, 6673, 6693, 6689, 6676, 4610, 6466, 6691, 6098])).
% 2.33/2.59 tff(6701,plain,
% 2.33/2.59 (r(s(s(z)), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1392, 6700])).
% 2.33/2.59 tff(6702,plain,
% 2.33/2.59 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[2482, 6701, 6673, 6689])).
% 2.33/2.59 tff(6703,plain,
% 2.33/2.59 (~b(s(s(z)), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6106, 6691, 6098, 4610, 6693, 6676])).
% 2.33/2.59 tff(6704,plain,
% 2.33/2.59 (r(s(s(z)), s(z))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[195, 6703])).
% 2.33/2.59 tff(6705,plain,
% 2.33/2.59 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[1445, 6701, 59, 6098, 6466, 6691, 6704])).
% 2.33/2.59 tff(6706,plain,
% 2.33/2.59 ($false),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[496, 6705, 6702])).
% 2.33/2.59 tff(6707,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.33/2.59 tff(6708,plain,
% 2.33/2.59 (~r(s(z), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[6707, 58])).
% 2.33/2.59 tff(6709,plain,
% 2.33/2.59 (b(s(z), z)),
% 2.33/2.59 inference(unit_resolution,[status(thm)],[380, 6708])).
% 2.33/2.59 tff(6710,plain,
% 2.33/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z))))))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6711,plain,
% 2.43/2.60 (((~b(s(z), z)) | (~b(s(z), 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(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(s(z))))))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6712,plain,
% 2.43/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))))))),
% 2.43/2.60 inference(monotonicity,[status(thm)],[6711])).
% 2.43/2.60 tff(6713,plain,
% 2.43/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z))))))))),
% 2.43/2.60 inference(transitivity,[status(thm)],[6712, 6710])).
% 2.43/2.60 tff(6714,plain,
% 2.43/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 2.43/2.60 inference(quant_inst,[status(thm)],[])).
% 2.43/2.60 tff(6715,plain,
% 2.43/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))))),
% 2.43/2.60 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 2.43/2.60 tff(6716,plain,
% 2.43/2.60 (~b(s(z), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6715, 102, 4610, 343, 6709])).
% 2.43/2.60 tff(6717,plain,
% 2.43/2.60 (r(s(z), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[3202, 6716])).
% 2.43/2.60 tff(6718,plain,
% 2.43/2.60 (~b(z, s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[5754, 343, 4610, 6709])).
% 2.43/2.60 tff(6719,plain,
% 2.43/2.60 (r(z, s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[88, 6718])).
% 2.43/2.60 tff(6720,plain,
% 2.43/2.60 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[5529, 63, 58, 64, 6717])).
% 2.43/2.60 tff(6721,plain,
% 2.43/2.60 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[409, 6720])).
% 2.43/2.60 tff(6722,plain,
% 2.43/2.60 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[3737, 6721, 343, 60])).
% 2.43/2.60 tff(6723,plain,
% 2.43/2.60 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[165, 6722])).
% 2.43/2.60 tff(6724,plain,
% 2.43/2.60 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1910, 5, 64, 3])).
% 2.43/2.60 tff(6725,plain,
% 2.43/2.60 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[232, 6724])).
% 2.43/2.60 tff(6726,plain,
% 2.43/2.60 (((~![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(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(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(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6727,plain,
% 2.43/2.60 (((~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), 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(s(s(s(s(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)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6728,plain,
% 2.43/2.60 (((~![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(s(s(s(s(s(z)))))), 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(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(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.43/2.60 inference(monotonicity,[status(thm)],[6727])).
% 2.43/2.60 tff(6729,plain,
% 2.43/2.60 (((~![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(s(s(s(s(s(z)))))), 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(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(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(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.60 inference(transitivity,[status(thm)],[6728, 6726])).
% 2.43/2.60 tff(6730,plain,
% 2.43/2.60 ((~![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(s(s(s(s(s(z)))))), 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(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.43/2.60 inference(quant_inst,[status(thm)],[])).
% 2.43/2.60 tff(6731,plain,
% 2.43/2.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.43/2.60 inference(modus_ponens,[status(thm)],[6730, 6729])).
% 2.43/2.60 tff(6732,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6731, 17, 5, 3, 63, 65, 64])).
% 2.43/2.60 tff(6733,plain,((~r(s(s(z)), 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(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6734,plain,
% 2.43/2.60 (~r(s(s(z)), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6733, 5, 3, 63, 64])).
% 2.43/2.60 tff(6735,plain,
% 2.43/2.60 (b(s(s(z)), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1392, 6734])).
% 2.43/2.60 tff(6736,plain,
% 2.43/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))))) | (~b(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(X0, 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(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6737,plain,
% 2.43/2.60 (((~b(s(z), z)) | (~b(s(s(z)), 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(z), z)) | (~b(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(s(z))))), s(z))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6738,plain,
% 2.43/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 2.43/2.60 inference(monotonicity,[status(thm)],[6737])).
% 2.43/2.60 tff(6739,plain,
% 2.43/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.43/2.60 inference(transitivity,[status(thm)],[6738, 6736])).
% 2.43/2.60 tff(6740,plain,
% 2.43/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 2.43/2.60 inference(quant_inst,[status(thm)],[])).
% 2.43/2.60 tff(6741,plain,
% 2.43/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 2.43/2.60 inference(modus_ponens,[status(thm)],[6740, 6739])).
% 2.43/2.60 tff(6742,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6741, 102, 540, 6735, 343, 6725, 363])).
% 2.43/2.60 tff(6743,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6744,plain,
% 2.43/2.60 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6743, 63, 343, 6709, 3, 4610, 64])).
% 2.43/2.60 tff(6745,plain,
% 2.43/2.60 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[496, 6744])).
% 2.43/2.60 tff(6746,plain,
% 2.43/2.60 (~b(s(z), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[4894, 498, 540, 66])).
% 2.43/2.60 tff(6747,plain,
% 2.43/2.60 (r(s(z), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[698, 6746])).
% 2.43/2.60 tff(6748,plain,
% 2.43/2.60 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[4848, 498, 540, 60, 66])).
% 2.43/2.60 tff(6749,plain,
% 2.43/2.60 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[232, 6748])).
% 2.43/2.60 tff(6750,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[3938, 6749, 6747, 61, 3])).
% 2.43/2.60 tff(6751,plain,((~b(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(z))))), 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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6752,plain,
% 2.43/2.60 (~b(z, s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6751, 6745, 3, 4610, 60, 6717])).
% 2.43/2.60 tff(6753,plain,
% 2.43/2.60 (r(z, s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[122, 6752])).
% 2.43/2.60 tff(6754,plain,
% 2.43/2.60 (~r(s(s(z)), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[578, 6753, 1, 6719, 6723])).
% 2.43/2.60 tff(6755,plain,
% 2.43/2.60 (b(s(s(z)), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[195, 6754])).
% 2.43/2.60 tff(6756,plain,
% 2.43/2.60 (~r(s(s(z)), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1762, 6753, 3, 58])).
% 2.43/2.60 tff(6757,plain,
% 2.43/2.60 (b(s(s(z)), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1392, 6756])).
% 2.43/2.60 tff(6758,plain,
% 2.43/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6759,plain,
% 2.43/2.60 (((~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(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.43/2.60 inference(rewrite,[status(thm)],[])).
% 2.43/2.60 tff(6760,plain,
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% 2.43/2.60 inference(monotonicity,[status(thm)],[6759])).
% 2.43/2.60 tff(6761,plain,
% 2.43/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.43/2.60 inference(transitivity,[status(thm)],[6760, 6758])).
% 2.43/2.60 tff(6762,plain,
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% 2.43/2.60 inference(quant_inst,[status(thm)],[])).
% 2.43/2.60 tff(6763,plain,
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% 2.43/2.60 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 2.43/2.60 tff(6764,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6763, 102, 4610, 6757, 6755, 343, 6709])).
% 2.43/2.60 tff(6765,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~b(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))))), z)) | (~r(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(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6766,plain,
% 2.43/2.60 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6765, 3, 343, 58, 1, 60, 64])).
% 2.43/2.60 tff(6767,plain,
% 2.43/2.60 (b(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[252, 6766])).
% 2.43/2.60 tff(6768,plain,
% 2.43/2.60 (~r(s(s(z)), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1762, 2, 3, 58])).
% 2.43/2.60 tff(6769,plain,
% 2.43/2.60 (b(s(s(z)), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1392, 6768])).
% 2.43/2.60 tff(6770,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6763, 102, 540, 56, 168, 343, 363])).
% 2.43/2.60 tff(6771,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6772,plain,
% 2.43/2.60 (~b(s(s(z)), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6771, 6769, 4610, 343, 6709])).
% 2.43/2.60 tff(6773,plain,
% 2.43/2.60 (r(s(s(z)), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[195, 6772])).
% 2.43/2.60 tff(6774,plain,
% 2.43/2.60 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[2466, 6773, 1, 6719, 2])).
% 2.43/2.60 tff(6775,plain,
% 2.43/2.60 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[578, 234, 1, 6719, 2])).
% 2.43/2.60 tff(6776,plain,
% 2.43/2.60 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[165, 6775])).
% 2.43/2.60 tff(6777,plain,
% 2.43/2.60 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[5555, 6776, 64, 6717, 4, 58, 3, 6769, 343, 234, 2])).
% 2.43/2.60 tff(6778,plain,
% 2.43/2.60 (~r(s(z), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[976, 234, 6719, 2])).
% 2.43/2.60 tff(6779,plain,
% 2.43/2.60 (b(s(z), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[698, 6778])).
% 2.43/2.60 tff(6780,plain,
% 2.43/2.60 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[2774, 6776, 498, 6779])).
% 2.43/2.60 tff(6781,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[279, 6780, 6777])).
% 2.43/2.60 tff(6782,plain,((~r(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), 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(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6783,plain,
% 2.43/2.60 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6782, 6773, 64, 4, 58, 3, 343, 2, 1])).
% 2.43/2.60 tff(6784,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[496, 6783, 6774])).
% 2.43/2.60 tff(6785,plain,((~r(z, 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(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6786,plain,
% 2.43/2.60 (~r(z, s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6785, 6767, 64, 58, 3, 343, 1])).
% 2.43/2.60 tff(6787,plain,
% 2.43/2.60 (b(z, s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[122, 6786])).
% 2.43/2.60 tff(6788,plain,
% 2.43/2.60 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6751, 6787, 3, 4610, 60, 6717])).
% 2.43/2.60 tff(6789,plain,
% 2.43/2.60 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[496, 6788])).
% 2.43/2.60 tff(6790,plain,
% 2.43/2.60 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[3751, 6789, 6717, 60, 6767, 6787, 64, 343])).
% 2.43/2.60 tff(6791,plain,
% 2.43/2.60 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[165, 6790])).
% 2.43/2.60 tff(6792,plain,
% 2.43/2.60 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1910, 6789, 64, 3])).
% 2.43/2.60 tff(6793,plain,
% 2.43/2.60 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[232, 6792])).
% 2.43/2.60 tff(6794,plain,
% 2.43/2.60 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[5731, 6793, 58, 4610, 6767, 6787])).
% 2.43/2.60 tff(6795,plain,
% 2.43/2.60 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[279, 6794])).
% 2.43/2.60 tff(6796,plain,
% 2.43/2.60 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[5791, 4, 540, 66, 92])).
% 2.43/2.60 tff(6797,plain,
% 2.43/2.60 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[279, 6796])).
% 2.43/2.60 tff(6798,plain,
% 2.43/2.60 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[4779, 4759, 540, 4, 62])).
% 2.43/2.60 tff(6799,plain,
% 2.43/2.60 ($false),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[232, 5689, 6798])).
% 2.43/2.60 tff(6800,plain,((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.60 tff(6801,plain,
% 2.43/2.60 (~b(s(s(s(s(s(z))))), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[6800, 4, 540, 66, 6797])).
% 2.43/2.60 tff(6802,plain,
% 2.43/2.60 (r(s(s(s(s(s(z))))), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[4787, 6801])).
% 2.43/2.60 tff(6803,plain,
% 2.43/2.60 (~b(s(s(s(s(s(z))))), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[4864, 197, 540, 66, 92])).
% 2.43/2.60 tff(6804,plain,
% 2.43/2.60 (r(s(s(s(s(s(z))))), s(z))),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[303, 6803])).
% 2.43/2.60 tff(6805,plain,
% 2.43/2.60 (~r(s(z), z)),
% 2.43/2.60 inference(unit_resolution,[status(thm)],[1837, 6804, 6802, 66, 92, 5721])).
% 2.43/2.61 tff(6806,plain,
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% 2.43/2.61 inference(unit_resolution,[status(thm)],[380, 6805])).
% 2.43/2.61 tff(6807,plain,
% 2.43/2.61 (~b(s(z), z)),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[2972, 56, 66, 92])).
% 2.43/2.61 tff(6808,plain,
% 2.43/2.61 (r(s(z), z)),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[380, 6807])).
% 2.43/2.61 tff(6809,plain,
% 2.43/2.61 (~b(z, s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[4653, 56, 540, 66, 92])).
% 2.43/2.61 tff(6810,plain,
% 2.43/2.61 (r(z, s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[88, 6809])).
% 2.43/2.61 tff(6811,plain,
% 2.43/2.61 ($false),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[74, 17, 58, 67, 6810, 6808])).
% 2.43/2.61 tff(6812,plain,((~b(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(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.61 tff(6813,plain,
% 2.43/2.61 (~b(s(s(z)), z)),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6812, 6804, 6802, 540, 66, 92])).
% 2.43/2.61 tff(6814,plain,
% 2.43/2.61 (r(s(s(z)), z)),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[1392, 6813])).
% 2.43/2.61 tff(6815,plain,
% 2.43/2.61 (((~![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(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)))))) <=> ((~![X0: $i, 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(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)))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6816,plain,
% 2.43/2.61 (((~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(z, 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)))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6817,plain,
% 2.43/2.61 (((~![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(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(z, 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))))))),
% 2.43/2.61 inference(monotonicity,[status(thm)],[6816])).
% 2.43/2.61 tff(6818,plain,
% 2.43/2.61 (((~![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(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(z, 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)))))),
% 2.43/2.61 inference(transitivity,[status(thm)],[6817, 6815])).
% 2.43/2.61 tff(6819,plain,
% 2.43/2.61 ((~![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(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)))))),
% 2.43/2.61 inference(quant_inst,[status(thm)],[])).
% 2.43/2.61 tff(6820,plain,
% 2.43/2.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 2.43/2.61 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 2.43/2.61 tff(6821,plain,
% 2.43/2.61 ($false),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6820, 17, 58, 67, 3, 68, 65])).
% 2.43/2.61 tff(6822,plain,((~r(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(s(z))))), s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.61 tff(6823,plain,
% 2.43/2.61 (~r(z, s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6822, 6804, 6802, 5721, 6814])).
% 2.43/2.61 tff(6824,plain,
% 2.43/2.61 (b(z, s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[88, 6823])).
% 2.43/2.61 tff(6825,plain,
% 2.43/2.61 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[2098, 17, 5688, 5721, 6797])).
% 2.43/2.61 tff(6826,plain,
% 2.43/2.61 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[341, 6825])).
% 2.43/2.61 tff(6827,plain,
% 2.43/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6828,plain,
% 2.43/2.61 (((~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(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))) <=> ((~b(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6829,plain,
% 2.43/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 2.43/2.61 inference(monotonicity,[status(thm)],[6828])).
% 2.43/2.61 tff(6830,plain,
% 2.43/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.43/2.61 inference(transitivity,[status(thm)],[6829, 6827])).
% 2.43/2.61 tff(6831,plain,
% 2.43/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 2.43/2.61 inference(quant_inst,[status(thm)],[])).
% 2.43/2.61 tff(6832,plain,
% 2.43/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.43/2.61 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 2.43/2.61 tff(6833,plain,
% 2.43/2.61 (~b(s(z), s(s(s(s(s(z))))))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6832, 102, 540, 4, 6826, 6806])).
% 2.43/2.61 tff(6834,plain,
% 2.43/2.61 (r(s(z), s(s(s(s(s(z))))))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[3202, 6833])).
% 2.43/2.61 tff(6835,plain,
% 2.43/2.61 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[5789, 102, 540, 4, 6826])).
% 2.43/2.61 tff(6836,plain,
% 2.43/2.61 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[361, 6835])).
% 2.43/2.61 tff(6837,plain,
% 2.43/2.61 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[3745, 17, 5688, 5721, 6836, 6834])).
% 2.43/2.61 tff(6838,plain,
% 2.43/2.61 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[409, 6837])).
% 2.43/2.61 tff(6839,plain,
% 2.43/2.61 ($false),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[1007, 102, 6838, 4, 6824, 6806])).
% 2.43/2.61 tff(6840,plain,((~b(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(z)))) | (~b(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.61 tff(6841,plain,
% 2.43/2.61 (~b(s(z), s(s(z)))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6840, 6793, 4610, 6767, 6787])).
% 2.43/2.61 tff(6842,plain,
% 2.43/2.61 (r(s(z), s(s(z)))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[698, 6841])).
% 2.43/2.61 tff(6843,plain,
% 2.43/2.61 (((~![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(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(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(z), 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(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6844,plain,
% 2.43/2.61 (((~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(z), 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(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6845,plain,
% 2.43/2.61 (((~![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(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(z), 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(s(z)), s(s(s(s(s(s(z))))))))))),
% 2.43/2.61 inference(monotonicity,[status(thm)],[6844])).
% 2.43/2.61 tff(6846,plain,
% 2.43/2.61 (((~![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(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(z), 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(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.43/2.61 inference(transitivity,[status(thm)],[6845, 6843])).
% 2.43/2.61 tff(6847,plain,
% 2.43/2.61 ((~![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(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)))))),
% 2.43/2.61 inference(quant_inst,[status(thm)],[])).
% 2.43/2.61 tff(6848,plain,
% 2.43/2.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.43/2.61 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 2.43/2.61 tff(6849,plain,
% 2.43/2.61 ($false),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6848, 17, 6842, 6795, 64, 6717, 6791])).
% 2.43/2.61 tff(6850,plain,((~r(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(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))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.61 tff(6851,plain,
% 2.43/2.61 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6850, 60, 58, 64, 343, 1])).
% 2.43/2.61 tff(6852,plain,
% 2.43/2.61 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[1711, 6851])).
% 2.43/2.61 tff(6853,plain,
% 2.43/2.61 (~b(s(s(z)), z)),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[719, 66, 4610, 57])).
% 2.43/2.61 tff(6854,plain,
% 2.43/2.61 (r(s(s(z)), z)),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[1392, 6853])).
% 2.43/2.61 tff(6855,plain,
% 2.43/2.61 (~r(s(s(z)), s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[2293, 6854, 58, 6719, 4620])).
% 2.43/2.61 tff(6856,plain,
% 2.43/2.61 (b(s(s(z)), s(z))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[195, 6855])).
% 2.43/2.61 tff(6857,plain,
% 2.43/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6858,plain,
% 2.43/2.61 (((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.43/2.61 inference(rewrite,[status(thm)],[])).
% 2.43/2.61 tff(6859,plain,
% 2.43/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(s(z)))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 2.43/2.61 inference(monotonicity,[status(thm)],[6858])).
% 2.43/2.61 tff(6860,plain,
% 2.43/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(s(z)))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.43/2.61 inference(transitivity,[status(thm)],[6859, 6857])).
% 2.43/2.61 tff(6861,plain,
% 2.43/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(s(z)))) | (~b(s(z), 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)))))),
% 2.43/2.61 inference(quant_inst,[status(thm)],[])).
% 2.43/2.61 tff(6862,plain,
% 2.43/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.43/2.61 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 2.43/2.61 tff(6863,plain,
% 2.43/2.61 ($false),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6862, 102, 66, 6856, 343, 57, 6709])).
% 2.43/2.61 tff(6864,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.61 tff(6865,plain,
% 2.43/2.61 (~b(z, s(s(z)))),
% 2.43/2.61 inference(unit_resolution,[status(thm)],[6864, 6852, 343, 58])).
% 2.43/2.61 tff(6866,plain,
% 2.43/2.61 (r(z, s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[122, 6865])).
% 2.43/2.62 tff(6867,plain,
% 2.43/2.62 (((~![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(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(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(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(s(z)))) | (~r(z, s(s(z)))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6868,plain,
% 2.43/2.62 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, 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(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(s(z)))) | (~r(z, s(s(z)))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6869,plain,
% 2.43/2.62 (((~![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)))))), s(s(z)))) | (~r(z, 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(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(s(z)))) | (~r(z, s(s(z))))))),
% 2.43/2.62 inference(monotonicity,[status(thm)],[6868])).
% 2.43/2.62 tff(6870,plain,
% 2.43/2.62 (((~![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)))))), s(s(z)))) | (~r(z, 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(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(s(z)))) | (~r(z, s(s(z)))))),
% 2.43/2.62 inference(transitivity,[status(thm)],[6869, 6867])).
% 2.43/2.62 tff(6871,plain,
% 2.43/2.62 ((~![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)))))), s(s(z)))) | (~r(z, 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))))),
% 2.43/2.62 inference(quant_inst,[status(thm)],[])).
% 2.43/2.62 tff(6872,plain,
% 2.43/2.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))),
% 2.43/2.62 inference(modus_ponens,[status(thm)],[6871, 6870])).
% 2.43/2.62 tff(6873,plain,
% 2.43/2.62 ($false),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6872, 17, 5, 68, 2, 1, 167])).
% 2.43/2.62 tff(6874,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(z))) | (~r(z, 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,[]))).
% 2.43/2.62 tff(6875,plain,
% 2.43/2.62 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6874, 167, 2, 1, 68])).
% 2.43/2.62 tff(6876,plain,
% 2.43/2.62 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[496, 6875])).
% 2.43/2.62 tff(6877,plain,
% 2.43/2.62 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[2442, 6876, 57, 60])).
% 2.43/2.62 tff(6878,plain,
% 2.43/2.62 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[279, 6877])).
% 2.43/2.62 tff(6879,plain,
% 2.43/2.62 (~r(s(s(z)), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[578, 167, 1, 68, 2])).
% 2.43/2.62 tff(6880,plain,
% 2.43/2.62 (b(s(s(z)), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[195, 6879])).
% 2.43/2.62 tff(6881,plain,
% 2.43/2.62 (~b(s(z), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[3257, 6880, 57, 343])).
% 2.43/2.62 tff(6882,plain,
% 2.43/2.62 (r(s(z), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[698, 6881])).
% 2.43/2.62 tff(6883,plain,
% 2.43/2.62 ($false),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6848, 17, 6882, 6878, 64, 61, 167])).
% 2.43/2.62 tff(6884,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))))), s(s(z)))) | (~b(s(s(s(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(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.62 tff(6885,plain,
% 2.43/2.62 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6884, 6852, 6717, 64, 60, 6866, 1, 6719, 343])).
% 2.43/2.62 tff(6886,plain,
% 2.43/2.62 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[165, 6885])).
% 2.43/2.62 tff(6887,plain,
% 2.43/2.62 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[3737, 6886, 343, 60])).
% 2.43/2.62 tff(6888,plain,
% 2.43/2.62 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[409, 6887])).
% 2.43/2.62 tff(6889,plain,
% 2.43/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6890,plain,
% 2.43/2.62 (((~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(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(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6891,plain,
% 2.43/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.43/2.62 inference(monotonicity,[status(thm)],[6890])).
% 2.43/2.62 tff(6892,plain,
% 2.43/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.62 inference(transitivity,[status(thm)],[6891, 6889])).
% 2.43/2.62 tff(6893,plain,
% 2.43/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.43/2.62 inference(quant_inst,[status(thm)],[])).
% 2.43/2.62 tff(6894,plain,
% 2.43/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.43/2.62 inference(modus_ponens,[status(thm)],[6893, 6892])).
% 2.43/2.62 tff(6895,plain,
% 2.43/2.62 ($false),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6894, 102, 540, 4, 60, 363, 125])).
% 2.43/2.62 tff(6896,plain,((~b(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)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.62 tff(6897,plain,
% 2.43/2.62 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6896, 6886, 4610, 60, 6709])).
% 2.43/2.62 tff(6898,plain,
% 2.43/2.62 (r(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[252, 6897])).
% 2.43/2.62 tff(6899,plain,
% 2.43/2.62 ($false),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[5529, 6898, 6888, 58, 64, 6717])).
% 2.43/2.62 tff(6900,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.62 tff(6901,plain,
% 2.43/2.62 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6900, 1, 64, 343, 58])).
% 2.43/2.62 tff(6902,plain,
% 2.43/2.62 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[341, 6901])).
% 2.43/2.62 tff(6903,plain,
% 2.43/2.62 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[3487, 6902, 64, 6717])).
% 2.43/2.62 tff(6904,plain,
% 2.43/2.62 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[165, 6903])).
% 2.43/2.62 tff(6905,plain,
% 2.43/2.62 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[3151, 66, 305, 58, 846, 1])).
% 2.43/2.62 tff(6906,plain,
% 2.43/2.62 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6864, 66, 343, 58])).
% 2.43/2.62 tff(6907,plain,
% 2.43/2.62 ($false),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[1711, 6906, 6905])).
% 2.43/2.62 tff(6908,plain,((~b(z, 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(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.62 tff(6909,plain,
% 2.43/2.62 (~b(z, s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6908, 6902, 58, 343, 1])).
% 2.43/2.62 tff(6910,plain,
% 2.43/2.62 (r(z, s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[122, 6909])).
% 2.43/2.62 tff(6911,plain,
% 2.43/2.62 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[680, 6902, 58, 1])).
% 2.43/2.62 tff(6912,plain,
% 2.43/2.62 (b(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[252, 6911])).
% 2.43/2.62 tff(6913,plain,
% 2.43/2.62 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6785, 6910, 64, 58, 6912, 343, 1])).
% 2.43/2.62 tff(6914,plain,
% 2.43/2.62 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[1711, 6913])).
% 2.43/2.62 tff(6915,plain,
% 2.43/2.62 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[1040, 5, 1, 2])).
% 2.43/2.62 tff(6916,plain,
% 2.43/2.62 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[279, 6915])).
% 2.43/2.62 tff(6917,plain,
% 2.43/2.62 (~r(s(s(z)), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[2466, 5, 1, 68, 2])).
% 2.43/2.62 tff(6918,plain,
% 2.43/2.62 (b(s(s(z)), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[195, 6917])).
% 2.43/2.62 tff(6919,plain,
% 2.43/2.62 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[3543, 6918, 125, 6916])).
% 2.43/2.62 tff(6920,plain,
% 2.43/2.62 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[409, 6919])).
% 2.43/2.62 tff(6921,plain,
% 2.43/2.62 (~b(s(z), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[3257, 6918, 57, 343])).
% 2.43/2.62 tff(6922,plain,
% 2.43/2.62 (r(s(z), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[698, 6921])).
% 2.43/2.62 tff(6923,plain,
% 2.43/2.62 (((~![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(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(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(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(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6924,plain,
% 2.43/2.62 (((~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(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(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(z)))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6925,plain,
% 2.43/2.62 (((~![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)), 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(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(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(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.43/2.62 inference(monotonicity,[status(thm)],[6924])).
% 2.43/2.62 tff(6926,plain,
% 2.43/2.62 (((~![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)), 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(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(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(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.62 inference(transitivity,[status(thm)],[6925, 6923])).
% 2.43/2.62 tff(6927,plain,
% 2.43/2.62 ((~![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)), 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(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.43/2.62 inference(quant_inst,[status(thm)],[])).
% 2.43/2.62 tff(6928,plain,
% 2.43/2.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.43/2.62 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 2.43/2.62 tff(6929,plain,
% 2.43/2.62 ($false),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6928, 17, 780, 5, 235, 393, 64])).
% 2.43/2.62 tff(6930,plain,((~r(s(s(z)), s(s(s(s(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(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.62 tff(6931,plain,
% 2.43/2.62 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6930, 6922, 5, 6920, 64])).
% 2.43/2.62 tff(6932,plain,
% 2.43/2.62 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[232, 6931])).
% 2.43/2.62 tff(6933,plain,
% 2.43/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(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)))))))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6934,plain,
% 2.43/2.62 (((~b(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)))))), 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(z)), s(z))) | (~b(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)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6935,plain,
% 2.43/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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))))))))))),
% 2.43/2.62 inference(monotonicity,[status(thm)],[6934])).
% 2.43/2.62 tff(6936,plain,
% 2.43/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(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)))))))))),
% 2.43/2.62 inference(transitivity,[status(thm)],[6935, 6933])).
% 2.43/2.62 tff(6937,plain,
% 2.43/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 2.43/2.62 inference(quant_inst,[status(thm)],[])).
% 2.43/2.62 tff(6938,plain,
% 2.43/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.43/2.62 inference(modus_ponens,[status(thm)],[6937, 6936])).
% 2.43/2.62 tff(6939,plain,
% 2.43/2.62 ($false),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6938, 102, 540, 6918, 4, 6916, 6932, 125])).
% 2.43/2.62 tff(6940,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.62 tff(6941,plain,
% 2.43/2.62 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[6940, 6912, 4610, 6904, 64, 6914, 343, 1, 6719, 6910])).
% 2.43/2.62 tff(6942,plain,
% 2.43/2.62 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.62 inference(unit_resolution,[status(thm)],[496, 6941])).
% 2.43/2.62 tff(6943,plain,
% 2.43/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))), s(s(z)))) | (~b(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.43/2.62 inference(rewrite,[status(thm)],[])).
% 2.43/2.62 tff(6944,plain,
% 2.43/2.62 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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(s(s(z)))))), s(z)))) <=> ((~b(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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(6945,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(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(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 2.43/2.63 inference(monotonicity,[status(thm)],[6944])).
% 2.43/2.63 tff(6946,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(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(s(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.43/2.63 inference(transitivity,[status(thm)],[6945, 6943])).
% 2.43/2.63 tff(6947,plain,
% 2.43/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(s(z)))) | (~b(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(s(s(z)))))), s(z))))),
% 2.43/2.63 inference(quant_inst,[status(thm)],[])).
% 2.43/2.63 tff(6948,plain,
% 2.43/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.43/2.63 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 2.43/2.63 tff(6949,plain,
% 2.43/2.63 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6948, 102, 4610, 6942, 6912, 6914, 6709])).
% 2.43/2.63 tff(6950,plain,
% 2.43/2.63 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[409, 6949])).
% 2.43/2.63 tff(6951,plain,
% 2.43/2.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(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(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(z))) | (~r(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(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(6952,plain,
% 2.43/2.63 (((~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(z))) | (~r(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(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(6953,plain,
% 2.43/2.63 (((~![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(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(z))) | (~r(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(s(s(z)))))))) | (~r(z, s(s(z))))))),
% 2.43/2.63 inference(monotonicity,[status(thm)],[6952])).
% 2.43/2.63 tff(6954,plain,
% 2.43/2.63 (((~![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(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(z))) | (~r(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(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 2.43/2.63 inference(transitivity,[status(thm)],[6953, 6951])).
% 2.43/2.63 tff(6955,plain,
% 2.43/2.63 ((~![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(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)))))),
% 2.43/2.63 inference(quant_inst,[status(thm)],[])).
% 2.43/2.63 tff(6956,plain,
% 2.43/2.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 2.43/2.63 inference(modus_ponens,[status(thm)],[6955, 6954])).
% 2.43/2.63 tff(6957,plain,
% 2.43/2.63 ($false),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6956, 17, 393, 68, 2, 1, 62])).
% 2.43/2.63 tff(6958,plain,((~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))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.63 tff(6959,plain,
% 2.43/2.63 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6958, 6950, 6719, 6910, 1])).
% 2.43/2.63 tff(6960,plain,
% 2.43/2.63 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[279, 6959])).
% 2.43/2.63 tff(6961,plain,
% 2.43/2.63 (~b(s(z), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[2774, 6960, 6904, 6942])).
% 2.43/2.63 tff(6962,plain,
% 2.43/2.63 (r(s(z), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[698, 6961])).
% 2.43/2.63 tff(6963,plain,
% 2.43/2.63 (~r(s(s(z)), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[976, 6962, 6719, 6910])).
% 2.43/2.63 tff(6964,plain,
% 2.43/2.63 (b(s(s(z)), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[195, 6963])).
% 2.43/2.63 tff(6965,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(6966,plain,
% 2.43/2.63 (((~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(s(s(z)))))), 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(z)), 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(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(6967,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.43/2.63 inference(monotonicity,[status(thm)],[6966])).
% 2.43/2.63 tff(6968,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.63 inference(transitivity,[status(thm)],[6967, 6965])).
% 2.43/2.63 tff(6969,plain,
% 2.43/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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))))),
% 2.43/2.63 inference(quant_inst,[status(thm)],[])).
% 2.43/2.63 tff(6970,plain,
% 2.43/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.43/2.63 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 2.43/2.63 tff(6971,plain,
% 2.43/2.63 ($false),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6970, 102, 6942, 6964, 6960, 6904])).
% 2.43/2.63 tff(6972,plain,((~r(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))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.63 tff(6973,plain,
% 2.43/2.63 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6972, 343, 64, 58])).
% 2.43/2.63 tff(6974,plain,
% 2.43/2.63 (b(z, s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[538, 6973])).
% 2.43/2.63 tff(6975,plain,
% 2.43/2.63 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[4798, 4, 540, 124])).
% 2.43/2.63 tff(6976,plain,
% 2.43/2.63 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[341, 6975])).
% 2.43/2.63 tff(6977,plain,
% 2.43/2.63 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[3487, 6976, 64, 61])).
% 2.43/2.63 tff(6978,plain,
% 2.43/2.63 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[165, 6977])).
% 2.43/2.63 tff(6979,plain,
% 2.43/2.63 ($false),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[2996, 102, 4, 124, 363, 6978])).
% 2.43/2.63 tff(6980,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~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(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.63 tff(6981,plain,
% 2.43/2.63 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6980, 6974, 6709, 64, 6717, 4610])).
% 2.43/2.63 tff(6982,plain,
% 2.43/2.63 (r(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[252, 6981])).
% 2.43/2.63 tff(6983,plain,
% 2.43/2.63 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[5529, 6982, 58, 64, 6717])).
% 2.43/2.63 tff(6984,plain,
% 2.43/2.63 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[409, 6983])).
% 2.43/2.63 tff(6985,plain,
% 2.43/2.63 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[3719, 102, 6984, 6974, 6709])).
% 2.43/2.63 tff(6986,plain,
% 2.43/2.63 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[165, 6985])).
% 2.43/2.63 tff(6987,plain,
% 2.43/2.63 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[3487, 6986, 64, 6717])).
% 2.43/2.63 tff(6988,plain,
% 2.43/2.63 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[341, 6987])).
% 2.43/2.63 tff(6989,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(6990,plain,
% 2.43/2.63 (((~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), 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), 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(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(6991,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.43/2.63 inference(monotonicity,[status(thm)],[6990])).
% 2.43/2.63 tff(6992,plain,
% 2.43/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.43/2.63 inference(transitivity,[status(thm)],[6991, 6989])).
% 2.43/2.63 tff(6993,plain,
% 2.43/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.43/2.63 inference(quant_inst,[status(thm)],[])).
% 2.43/2.63 tff(6994,plain,
% 2.43/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.43/2.63 inference(modus_ponens,[status(thm)],[6993, 6992])).
% 2.43/2.63 tff(6995,plain,
% 2.43/2.63 ($false),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6994, 102, 6984, 343, 6974, 6988, 6709])).
% 2.43/2.63 tff(6996,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))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.63 tff(6997,plain,
% 2.43/2.63 (~b(s(s(s(s(s(z))))), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[6996, 64, 58])).
% 2.43/2.63 tff(6998,plain,
% 2.43/2.63 (r(s(s(s(s(s(z))))), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[303, 6997])).
% 2.43/2.63 tff(6999,plain,
% 2.43/2.63 (~b(s(s(z)), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[2736, 66, 363, 56])).
% 2.43/2.63 tff(7000,plain,
% 2.43/2.63 (r(s(s(z)), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[195, 6999])).
% 2.43/2.63 tff(7001,plain,
% 2.43/2.63 (~b(s(z), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[2972, 66, 363, 56])).
% 2.43/2.63 tff(7002,plain,
% 2.43/2.63 (r(s(z), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[698, 7001])).
% 2.43/2.63 tff(7003,plain,
% 2.43/2.63 ($false),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[3094, 7002, 7000, 67, 3])).
% 2.43/2.63 tff(7004,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.63 tff(7005,plain,
% 2.43/2.63 (~b(z, s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[7004, 56, 3, 6709, 6998])).
% 2.43/2.63 tff(7006,plain,
% 2.43/2.63 (r(z, s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[122, 7005])).
% 2.43/2.63 tff(7007,plain,
% 2.43/2.63 (~r(s(s(z)), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[3084, 7006, 58, 6998, 3])).
% 2.43/2.63 tff(7008,plain,
% 2.43/2.63 (b(s(s(z)), s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[195, 7007])).
% 2.43/2.63 tff(7009,plain,
% 2.43/2.63 (~b(z, s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[2744, 7008, 6709, 56])).
% 2.43/2.63 tff(7010,plain,
% 2.43/2.63 (r(z, s(z))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[88, 7009])).
% 2.43/2.63 tff(7011,plain,
% 2.43/2.63 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[1524, 7006, 58, 64, 63])).
% 2.43/2.63 tff(7012,plain,
% 2.43/2.63 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[496, 7011])).
% 2.43/2.63 tff(7013,plain,
% 2.43/2.63 (~b(s(z), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[616, 7012, 6709, 124, 56])).
% 2.43/2.63 tff(7014,plain,
% 2.43/2.63 (r(s(z), s(s(z)))),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[698, 7013])).
% 2.43/2.63 tff(7015,plain,
% 2.43/2.63 (((~![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(z)))) | (~r(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(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(z)))) | (~r(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(s(z))))), s(s(z)))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(7016,plain,
% 2.43/2.63 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), 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(z), s(s(z)))) | (~r(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(s(z))))), s(s(z)))))),
% 2.43/2.63 inference(rewrite,[status(thm)],[])).
% 2.43/2.63 tff(7017,plain,
% 2.43/2.63 (((~![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(z)))) | (~r(s(s(s(s(s(z))))), 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(z), s(s(z)))) | (~r(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(s(z))))), s(s(z))))))),
% 2.43/2.63 inference(monotonicity,[status(thm)],[7016])).
% 2.43/2.63 tff(7018,plain,
% 2.43/2.63 (((~![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(z)))) | (~r(s(s(s(s(s(z))))), 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(z), s(s(z)))) | (~r(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(s(z))))), s(s(z)))))),
% 2.43/2.63 inference(transitivity,[status(thm)],[7017, 7015])).
% 2.43/2.63 tff(7019,plain,
% 2.43/2.63 ((~![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(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z)))),
% 2.43/2.63 inference(quant_inst,[status(thm)],[])).
% 2.43/2.63 tff(7020,plain,
% 2.43/2.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 2.43/2.63 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 2.43/2.63 tff(7021,plain,
% 2.43/2.63 ($false),
% 2.43/2.63 inference(unit_resolution,[status(thm)],[7020, 17, 7014, 58, 6998, 3, 7010])).
% 2.43/2.63 tff(7022,plain,((~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(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)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7023,plain,
% 2.43/2.64 (~b(s(s(z)), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7022, 3, 58, 124, 64, 63])).
% 2.43/2.64 tff(7024,plain,
% 2.43/2.64 (r(s(s(z)), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1392, 7023])).
% 2.43/2.64 tff(7025,plain,
% 2.43/2.64 (~r(z, s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1762, 7024, 3, 58])).
% 2.43/2.64 tff(7026,plain,
% 2.43/2.64 (b(z, s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[122, 7025])).
% 2.43/2.64 tff(7027,plain,
% 2.43/2.64 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[6733, 7024, 3, 63, 64])).
% 2.43/2.64 tff(7028,plain,
% 2.43/2.64 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[496, 7027])).
% 2.43/2.64 tff(7029,plain,
% 2.43/2.64 (~r(s(z), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1861, 7024, 58, 6998, 3])).
% 2.43/2.64 tff(7030,plain,
% 2.43/2.64 (b(s(z), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[698, 7029])).
% 2.43/2.64 tff(7031,plain,
% 2.43/2.64 ($false),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[4894, 7030, 7028, 4610, 7026])).
% 2.43/2.64 tff(7032,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7033,plain,
% 2.43/2.64 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7032, 63, 58, 64, 124])).
% 2.43/2.64 tff(7034,plain,
% 2.43/2.64 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1711, 7033])).
% 2.43/2.64 tff(7035,plain,
% 2.43/2.64 ($false),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2677, 17, 58, 67, 68, 63, 305])).
% 2.43/2.64 tff(7036,plain,((~r(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(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7037,plain,
% 2.43/2.64 (~r(z, s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7036, 305, 6998, 63, 58])).
% 2.43/2.64 tff(7038,plain,
% 2.43/2.64 (b(z, s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[88, 7037])).
% 2.43/2.64 tff(7039,plain,
% 2.43/2.64 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[4928, 6429, 64, 58, 66, 57, 6431])).
% 2.43/2.64 tff(7040,plain,
% 2.43/2.64 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[496, 7039])).
% 2.43/2.64 tff(7041,plain,
% 2.43/2.64 (((~![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))))), 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(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(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(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7042,plain,
% 2.43/2.64 (((~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(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(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7043,plain,
% 2.43/2.64 (((~![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))))), 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(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(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.43/2.64 inference(monotonicity,[status(thm)],[7042])).
% 2.43/2.64 tff(7044,plain,
% 2.43/2.64 (((~![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))))), 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(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(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.43/2.64 inference(transitivity,[status(thm)],[7043, 7041])).
% 2.43/2.64 tff(7045,plain,
% 2.43/2.64 ((~![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))))), 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)))))),
% 2.43/2.64 inference(quant_inst,[status(thm)],[])).
% 2.43/2.64 tff(7046,plain,
% 2.43/2.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.43/2.64 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 2.43/2.64 tff(7047,plain,
% 2.43/2.64 ($false),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7046, 17, 58, 7040, 6431, 63, 64])).
% 2.43/2.64 tff(7048,plain,((~b(s(s(s(s(s(z))))), s(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))))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7049,plain,
% 2.43/2.64 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7048, 66, 63, 64, 58])).
% 2.43/2.64 tff(7050,plain,
% 2.43/2.64 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1711, 7049])).
% 2.43/2.64 tff(7051,plain,
% 2.43/2.64 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2165, 7050, 58, 63, 305])).
% 2.43/2.64 tff(7052,plain,
% 2.43/2.64 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[279, 7051])).
% 2.43/2.64 tff(7053,plain,
% 2.43/2.64 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1983, 7052, 124, 66])).
% 2.43/2.64 tff(7054,plain,
% 2.43/2.64 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[496, 7053])).
% 2.43/2.64 tff(7055,plain,
% 2.43/2.64 (~r(s(s(z)), s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[3115, 7050, 6998, 305, 124, 58, 63])).
% 2.43/2.64 tff(7056,plain,
% 2.43/2.64 (b(s(s(z)), s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[195, 7055])).
% 2.43/2.64 tff(7057,plain,
% 2.43/2.64 (~b(s(s(z)), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2736, 7056, 6709, 66])).
% 2.43/2.64 tff(7058,plain,
% 2.43/2.64 (r(s(s(z)), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1392, 7057])).
% 2.43/2.64 tff(7059,plain,
% 2.43/2.64 ($false),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[6733, 7058, 7054, 7050, 63, 64])).
% 2.43/2.64 tff(7060,plain,((~b(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))))))) | (~b(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))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7061,plain,
% 2.43/2.64 (~b(z, s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7060, 305, 64, 124, 63, 58])).
% 2.43/2.64 tff(7062,plain,
% 2.43/2.64 (r(z, s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[122, 7061])).
% 2.43/2.64 tff(7063,plain,
% 2.43/2.64 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1524, 7062, 58, 64, 63])).
% 2.43/2.64 tff(7064,plain,
% 2.43/2.64 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[496, 7063])).
% 2.43/2.64 tff(7065,plain,
% 2.43/2.64 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[6349, 7062, 58, 305, 63])).
% 2.43/2.64 tff(7066,plain,
% 2.43/2.64 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1711, 7065])).
% 2.43/2.64 tff(7067,plain,
% 2.43/2.64 (~b(s(s(z)), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1321, 62, 4610, 7066, 305, 7064])).
% 2.43/2.64 tff(7068,plain,
% 2.43/2.64 (r(s(s(z)), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[1392, 7067])).
% 2.43/2.64 tff(7069,plain,
% 2.43/2.64 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[313, 62, 64, 305])).
% 2.43/2.64 tff(7070,plain,
% 2.43/2.64 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[232, 7069])).
% 2.43/2.64 tff(7071,plain,
% 2.43/2.64 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[5363, 168, 125, 498])).
% 2.43/2.64 tff(7072,plain,
% 2.43/2.64 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[409, 7071])).
% 2.43/2.64 tff(7073,plain,
% 2.43/2.64 (~r(s(z), s(s(s(s(s(z))))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[4153, 7072, 64, 67])).
% 2.43/2.64 tff(7074,plain,
% 2.43/2.64 (b(s(z), s(s(s(s(s(z))))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[3202, 7073])).
% 2.43/2.64 tff(7075,plain,
% 2.43/2.64 ($false),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2270, 102, 168, 57, 197, 7074])).
% 2.43/2.64 tff(7076,plain,((~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))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(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))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7077,plain,
% 2.43/2.64 (~b(s(s(z)), s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7076, 125, 7070, 64, 6998, 7066, 7064])).
% 2.43/2.64 tff(7078,plain,
% 2.43/2.64 (r(s(s(z)), s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[195, 7077])).
% 2.43/2.64 tff(7079,plain,
% 2.43/2.64 (~r(z, s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2687, 7078, 62, 63, 7068])).
% 2.43/2.64 tff(7080,plain,
% 2.43/2.64 (b(z, s(z))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[88, 7079])).
% 2.43/2.64 tff(7081,plain,
% 2.43/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, 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))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, 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))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7082,plain,
% 2.43/2.64 (((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(s(z), z)) | (~b(z, 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))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7083,plain,
% 2.43/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, 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)))))),
% 2.43/2.64 inference(monotonicity,[status(thm)],[7082])).
% 2.43/2.64 tff(7084,plain,
% 2.43/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, 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))))),
% 2.43/2.64 inference(transitivity,[status(thm)],[7083, 7081])).
% 2.43/2.64 tff(7085,plain,
% 2.43/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.43/2.64 inference(quant_inst,[status(thm)],[])).
% 2.43/2.64 tff(7086,plain,
% 2.43/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.43/2.64 inference(modus_ponens,[status(thm)],[7085, 7084])).
% 2.43/2.64 tff(7087,plain,
% 2.43/2.64 ($false),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7086, 102, 540, 2300, 382, 3411, 363])).
% 2.43/2.64 tff(7088,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7089,plain,
% 2.43/2.64 (~b(z, s(s(s(s(z)))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7088, 2300, 382, 4610, 6709])).
% 2.43/2.64 tff(7090,plain,
% 2.43/2.64 (r(z, s(s(s(s(z)))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[54, 7089])).
% 2.43/2.64 tff(7091,plain,
% 2.43/2.64 (((~![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))))), z)) | (~r(s(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(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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))))), z)) | (~r(s(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(z)))))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7092,plain,
% 2.43/2.64 (((~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(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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7093,plain,
% 2.43/2.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.43/2.64 inference(monotonicity,[status(thm)],[7092])).
% 2.43/2.64 tff(7094,plain,
% 2.43/2.64 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.43/2.64 inference(transitivity,[status(thm)],[7093, 7091])).
% 2.43/2.64 tff(7095,plain,
% 2.43/2.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))))))),
% 2.43/2.64 inference(quant_inst,[status(thm)],[])).
% 2.43/2.64 tff(7096,plain,
% 2.43/2.64 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.43/2.64 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 2.43/2.64 tff(7097,plain,
% 2.43/2.64 ($false),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7096, 17, 58, 63, 305, 4318, 7])).
% 2.43/2.64 tff(7098,plain,((~r(z, s(s(s(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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.64 tff(7099,plain,
% 2.43/2.64 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7098, 7090, 63, 305, 58])).
% 2.43/2.64 tff(7100,plain,
% 2.43/2.64 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2114, 7099])).
% 2.43/2.64 tff(7101,plain,
% 2.43/2.64 (~b(s(s(s(s(z)))), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[4474, 2300, 6709, 382])).
% 2.43/2.64 tff(7102,plain,
% 2.43/2.64 (r(s(s(s(s(z)))), z)),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2083, 7101])).
% 2.43/2.64 tff(7103,plain,
% 2.43/2.64 (((~![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)), z)) | (~r(z, s(s(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(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7104,plain,
% 2.43/2.64 (((~r(s(s(z)), z)) | (~r(s(s(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))) <=> ((~r(s(s(z)), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7105,plain,
% 2.43/2.64 (((~![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)), z)) | (~r(s(s(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)))) <=> ((~![X0: $i, X3: $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(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))))),
% 2.43/2.64 inference(monotonicity,[status(thm)],[7104])).
% 2.43/2.64 tff(7106,plain,
% 2.43/2.64 (((~![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)), z)) | (~r(s(s(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)))) <=> ((~![X0: $i, X3: $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(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 2.43/2.64 inference(transitivity,[status(thm)],[7105, 7103])).
% 2.43/2.64 tff(7107,plain,
% 2.43/2.64 ((~![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)), z)) | (~r(s(s(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)))),
% 2.43/2.64 inference(quant_inst,[status(thm)],[])).
% 2.43/2.64 tff(7108,plain,
% 2.43/2.64 ((~![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)), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z))))),
% 2.43/2.64 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 2.43/2.64 tff(7109,plain,
% 2.43/2.64 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[7108, 17, 65, 2, 7102])).
% 2.43/2.64 tff(7110,plain,
% 2.43/2.64 (b(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.64 inference(unit_resolution,[status(thm)],[2048, 7109])).
% 2.43/2.64 tff(7111,plain,
% 2.43/2.64 (((~![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)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), 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(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7112,plain,
% 2.43/2.64 (((~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(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.43/2.64 inference(rewrite,[status(thm)],[])).
% 2.43/2.64 tff(7113,plain,
% 2.43/2.64 (((~![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)))), 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(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.43/2.65 inference(monotonicity,[status(thm)],[7112])).
% 2.43/2.65 tff(7114,plain,
% 2.43/2.65 (((~![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(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(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.43/2.65 inference(transitivity,[status(thm)],[7113, 7111])).
% 2.43/2.65 tff(7115,plain,
% 2.43/2.65 ((~![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(z)), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)))),
% 2.43/2.65 inference(quant_inst,[status(thm)],[])).
% 2.43/2.65 tff(7116,plain,
% 2.43/2.65 ((~![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)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.43/2.65 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 2.43/2.65 tff(7117,plain,
% 2.43/2.65 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[7116, 17, 65, 7090, 7102])).
% 2.43/2.65 tff(7118,plain,
% 2.43/2.65 (b(s(s(z)), s(s(s(s(z)))))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[3456, 7117, 3443])).
% 2.43/2.65 tff(7119,assumption,(b(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 2.43/2.65 tff(7120,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7121,plain,
% 2.43/2.65 (((~b(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)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~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(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7122,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), s(s(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(X0, 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(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))))))),
% 2.43/2.65 inference(monotonicity,[status(thm)],[7121])).
% 2.43/2.65 tff(7123,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), s(s(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(X0, 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(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)))))),
% 2.43/2.65 inference(transitivity,[status(thm)],[7122, 7120])).
% 2.43/2.65 tff(7124,plain,
% 2.43/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), s(s(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))))))))),
% 2.43/2.65 inference(quant_inst,[status(thm)],[])).
% 2.43/2.65 tff(7125,plain,
% 2.43/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.43/2.65 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 2.43/2.65 tff(7126,plain,
% 2.43/2.65 ($false),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[7125, 102, 197, 7119, 5086, 1588])).
% 2.43/2.65 tff(7127,plain,((~b(s(s(s(s(z)))), 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))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.65 tff(7128,plain,
% 2.43/2.65 ($false),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[7127, 7118, 7110, 197, 7100])).
% 2.43/2.65 tff(7129,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(z, 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(s(z))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.65 tff(7130,plain,
% 2.43/2.65 (~b(s(s(s(s(z)))), s(z))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[7129, 7080, 7068, 7062, 63, 305, 58, 7070])).
% 2.43/2.65 tff(7131,plain,
% 2.43/2.65 (r(s(s(s(s(z)))), s(z))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[1573, 7130])).
% 2.43/2.65 tff(7132,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(z)))))))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7133,plain,
% 2.43/2.65 (((~b(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(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(z)), s(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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7134,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), 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(s(z))))))))))),
% 2.43/2.65 inference(monotonicity,[status(thm)],[7133])).
% 2.43/2.65 tff(7135,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), 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(s(z)))))))))),
% 2.43/2.65 inference(transitivity,[status(thm)],[7134, 7132])).
% 2.43/2.65 tff(7136,plain,
% 2.43/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.43/2.65 inference(quant_inst,[status(thm)],[])).
% 2.43/2.65 tff(7137,plain,
% 2.43/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(z))))))))),
% 2.43/2.65 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 2.43/2.65 tff(7138,plain,
% 2.43/2.65 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[7137, 102, 498, 57, 197, 1588])).
% 2.43/2.65 tff(7139,plain,
% 2.43/2.65 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[2072, 7138])).
% 2.43/2.65 tff(7140,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7141,plain,
% 2.43/2.65 (((~b(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(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)), s(s(s(s(s(z))))))) | (~b(s(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(z)))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7142,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z))))))),
% 2.43/2.65 inference(monotonicity,[status(thm)],[7141])).
% 2.43/2.65 tff(7143,plain,
% 2.43/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))),
% 2.43/2.65 inference(transitivity,[status(thm)],[7142, 7140])).
% 2.43/2.65 tff(7144,plain,
% 2.43/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.43/2.65 inference(quant_inst,[status(thm)],[])).
% 2.43/2.65 tff(7145,plain,
% 2.43/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z))))),
% 2.43/2.65 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 2.43/2.65 tff(7146,plain,
% 2.43/2.65 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[7145, 102, 57, 197, 1588])).
% 2.43/2.65 tff(7147,plain,
% 2.43/2.65 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.43/2.65 inference(unit_resolution,[status(thm)],[6546, 7146])).
% 2.43/2.65 tff(7148,plain,
% 2.43/2.65 (((~![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(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(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(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(z)))), s(z))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7149,plain,
% 2.43/2.65 (((~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(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(z)))), s(z))))),
% 2.43/2.65 inference(rewrite,[status(thm)],[])).
% 2.43/2.65 tff(7150,plain,
% 2.43/2.65 (((~![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(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(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(z)))), s(z)))))),
% 2.43/2.65 inference(monotonicity,[status(thm)],[7149])).
% 2.43/2.65 tff(7151,plain,
% 2.43/2.65 (((~![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(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(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(z)))), s(z))))),
% 2.43/2.65 inference(transitivity,[status(thm)],[7150, 7148])).
% 2.43/2.65 tff(7152,plain,
% 2.43/2.65 ((~![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(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)))))))))),
% 2.43/2.65 inference(quant_inst,[status(thm)],[])).
% 2.43/2.65 tff(7153,plain,
% 2.43/2.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.43/2.65 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 2.43/2.66 tff(7154,plain,
% 2.43/2.66 ((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7153, 17, 67, 64, 2926])).
% 2.43/2.66 tff(7155,plain,
% 2.43/2.66 ($false),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7154, 7147, 7139])).
% 2.43/2.66 tff(7156,plain,((~b(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(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))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.66 tff(7157,plain,
% 2.43/2.66 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7156, 7131, 64, 6998, 7066, 7070, 7064])).
% 2.43/2.66 tff(7158,plain,
% 2.43/2.66 (r(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[2048, 7157])).
% 2.43/2.66 tff(7159,plain,
% 2.43/2.66 (((~![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(z)), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), 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(z)), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7160,plain,
% 2.43/2.66 (((~r(s(s(z)), s(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(z)), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7161,plain,
% 2.43/2.66 (((~![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(z)), s(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)))) <=> ((~![X0: $i, X3: $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(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))))),
% 2.43/2.66 inference(monotonicity,[status(thm)],[7160])).
% 2.43/2.66 tff(7162,plain,
% 2.43/2.66 (((~![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(z)), s(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)))) <=> ((~![X0: $i, X3: $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(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(transitivity,[status(thm)],[7161, 7159])).
% 2.43/2.66 tff(7163,plain,
% 2.43/2.66 ((~![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(z)), s(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)))),
% 2.43/2.66 inference(quant_inst,[status(thm)],[])).
% 2.43/2.66 tff(7164,plain,
% 2.43/2.66 ((~![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(z)), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.43/2.66 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 2.43/2.66 tff(7165,plain,
% 2.43/2.66 (~r(s(s(s(s(z)))), z)),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7164, 17, 7078, 7062, 7131, 7158])).
% 2.43/2.66 tff(7166,plain,
% 2.43/2.66 (b(s(s(s(s(z)))), z)),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[2083, 7165])).
% 2.43/2.66 tff(7167,plain,
% 2.43/2.66 (r(s(z), s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[4511, 7166, 6709, 7080])).
% 2.43/2.66 tff(7168,plain,
% 2.43/2.66 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[433, 7080, 125, 124])).
% 2.43/2.66 tff(7169,plain,
% 2.43/2.66 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[409, 7168])).
% 2.43/2.66 tff(7170,plain,
% 2.43/2.66 (~r(s(z), s(s(s(s(s(z))))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[4153, 7169, 64, 6998])).
% 2.43/2.66 tff(7171,plain,
% 2.43/2.66 (b(s(z), s(s(s(s(s(z))))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[3202, 7170])).
% 2.43/2.66 tff(7172,plain,
% 2.43/2.66 (~b(s(z), s(s(z)))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[5432, 7171, 64, 7064, 7066, 7068, 58])).
% 2.43/2.66 tff(7173,plain,
% 2.43/2.66 (r(s(z), s(s(z)))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[698, 7172])).
% 2.43/2.66 tff(7174,plain,
% 2.43/2.66 (((~![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))))), z)) | (~r(s(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(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(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7175,plain,
% 2.43/2.66 (((~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(s(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(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7176,plain,
% 2.43/2.66 (((~![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(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(s(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(s(s(s(s(z)))), s(z)))))),
% 2.43/2.66 inference(monotonicity,[status(thm)],[7175])).
% 2.43/2.66 tff(7177,plain,
% 2.43/2.66 (((~![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(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(s(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(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(transitivity,[status(thm)],[7176, 7174])).
% 2.43/2.66 tff(7178,plain,
% 2.43/2.66 ((~![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(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)))),
% 2.43/2.66 inference(quant_inst,[status(thm)],[])).
% 2.43/2.66 tff(7179,plain,
% 2.43/2.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.43/2.66 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 2.43/2.66 tff(7180,plain,
% 2.43/2.66 ($false),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7179, 17, 58, 67, 4318, 2926, 7])).
% 2.43/2.66 tff(7181,plain,((~r(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(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.66 tff(7182,plain,
% 2.43/2.66 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7181, 7, 67, 2926, 58])).
% 2.43/2.66 tff(7183,plain,
% 2.43/2.66 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[2114, 7182])).
% 2.43/2.66 tff(7184,plain,
% 2.43/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7185,plain,
% 2.43/2.66 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), 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(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(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7186,plain,
% 2.43/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 2.43/2.66 inference(monotonicity,[status(thm)],[7185])).
% 2.43/2.66 tff(7187,plain,
% 2.43/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.43/2.66 inference(transitivity,[status(thm)],[7186, 7184])).
% 2.43/2.66 tff(7188,plain,
% 2.43/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.43/2.66 inference(quant_inst,[status(thm)],[])).
% 2.43/2.66 tff(7189,plain,
% 2.43/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 2.43/2.66 inference(modus_ponens,[status(thm)],[7188, 7187])).
% 2.43/2.66 tff(7190,plain,
% 2.43/2.66 ($false),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7189, 102, 540, 5086, 91, 363, 3410])).
% 2.43/2.66 tff(7191,plain,((~b(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(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.66 tff(7192,plain,
% 2.43/2.66 (~b(s(s(s(s(z)))), z)),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7191, 7183, 4610, 91, 6709])).
% 2.43/2.66 tff(7193,plain,
% 2.43/2.66 (r(s(s(s(s(z)))), z)),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[2083, 7192])).
% 2.43/2.66 tff(7194,plain,
% 2.43/2.66 (((~![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(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(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(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(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7195,plain,
% 2.43/2.66 (((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), 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(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(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7196,plain,
% 2.43/2.66 (((~![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(z)), z)) | (~r(s(s(s(s(z)))), 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(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(s(s(s(s(z)))), s(z)))))),
% 2.43/2.66 inference(monotonicity,[status(thm)],[7195])).
% 2.43/2.66 tff(7197,plain,
% 2.43/2.66 (((~![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(z)), z)) | (~r(s(s(s(s(z)))), 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(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(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(transitivity,[status(thm)],[7196, 7194])).
% 2.43/2.66 tff(7198,plain,
% 2.43/2.66 ((~![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(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.43/2.66 inference(quant_inst,[status(thm)],[])).
% 2.43/2.66 tff(7199,plain,
% 2.43/2.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.43/2.66 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 2.43/2.66 tff(7200,plain,
% 2.43/2.66 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7199, 17, 780, 65, 2926, 7193])).
% 2.43/2.66 tff(7201,plain,
% 2.43/2.66 (b(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[2048, 7200])).
% 2.43/2.66 tff(7202,plain,
% 2.43/2.66 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7116, 17, 65, 7, 7193])).
% 2.43/2.66 tff(7203,plain,
% 2.43/2.66 (b(s(s(z)), s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[3456, 7202, 3443])).
% 2.43/2.66 tff(7204,plain,
% 2.43/2.66 ($false),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7127, 7203, 7201, 197, 7183])).
% 2.43/2.66 tff(7205,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.66 tff(7206,plain,
% 2.43/2.66 (~r(z, s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[7205, 7131, 7068, 7173, 7070, 7171, 6998, 58])).
% 2.43/2.66 tff(7207,plain,
% 2.43/2.66 (b(z, s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[54, 7206])).
% 2.43/2.66 tff(7208,plain,
% 2.43/2.66 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[6573, 7207, 58, 7062, 7070])).
% 2.43/2.66 tff(7209,plain,
% 2.43/2.66 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.66 inference(unit_resolution,[status(thm)],[2114, 7208])).
% 2.43/2.66 tff(7210,plain,
% 2.43/2.66 (((~![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(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(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(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.43/2.66 inference(rewrite,[status(thm)],[])).
% 2.43/2.66 tff(7211,plain,
% 2.43/2.66 (((~r(s(s(s(s(z)))), 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)))))) | (~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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.43/2.67 inference(rewrite,[status(thm)],[])).
% 2.43/2.67 tff(7212,plain,
% 2.43/2.67 (((~![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(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(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.43/2.67 inference(monotonicity,[status(thm)],[7211])).
% 2.43/2.67 tff(7213,plain,
% 2.43/2.67 (((~![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(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(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.43/2.67 inference(transitivity,[status(thm)],[7212, 7210])).
% 2.43/2.67 tff(7214,plain,
% 2.43/2.67 ((~![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(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(s(s(s(s(s(z))))), s(z))))),
% 2.43/2.67 inference(quant_inst,[status(thm)],[])).
% 2.43/2.67 tff(7215,plain,
% 2.43/2.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.43/2.67 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 2.43/2.67 tff(7216,plain,
% 2.43/2.67 ($false),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[7215, 17, 6998, 7209, 7131, 7167])).
% 2.43/2.67 tff(7217,plain,((~b(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)))))), 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)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.67 tff(7218,plain,
% 2.43/2.67 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[7217, 62, 64, 63, 305, 124, 58])).
% 2.43/2.67 tff(7219,plain,
% 2.43/2.67 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[165, 7218])).
% 2.43/2.67 tff(7220,plain,
% 2.43/2.67 (~r(s(z), s(s(s(s(s(z))))))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[3487, 7219, 64, 305])).
% 2.43/2.67 tff(7221,plain,
% 2.43/2.67 (b(s(z), s(s(s(s(s(z))))))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[3202, 7220])).
% 2.43/2.67 tff(7222,plain,
% 2.43/2.67 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[1524, 2, 58, 64, 63])).
% 2.43/2.67 tff(7223,plain,
% 2.43/2.67 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[496, 7222])).
% 2.43/2.67 tff(7224,plain,
% 2.43/2.67 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[6349, 2, 58, 305, 63])).
% 2.43/2.67 tff(7225,plain,
% 2.43/2.67 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[1711, 7224])).
% 2.43/2.67 tff(7226,plain,
% 2.43/2.67 (~b(s(s(z)), z)),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[1321, 62, 4610, 7225, 305, 7223])).
% 2.43/2.67 tff(7227,plain,
% 2.43/2.67 (r(s(s(z)), z)),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[1392, 7226])).
% 2.43/2.67 tff(7228,plain,
% 2.43/2.67 (~r(z, s(z))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[2687, 234, 62, 63, 7227])).
% 2.43/2.67 tff(7229,plain,
% 2.43/2.67 (b(z, s(z))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[88, 7228])).
% 2.43/2.67 tff(7230,plain,
% 2.43/2.67 (~b(s(s(s(s(z)))), s(z))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[7129, 7229, 7227, 2, 63, 305, 58, 7070])).
% 2.43/2.67 tff(7231,plain,
% 2.43/2.67 (r(s(s(s(s(z)))), s(z))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[1573, 7230])).
% 2.43/2.67 tff(7232,plain,
% 2.43/2.67 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[7156, 7231, 64, 6998, 7225, 7070, 7223])).
% 2.43/2.67 tff(7233,plain,
% 2.43/2.67 (r(s(s(s(s(z)))), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[2048, 7232])).
% 2.43/2.67 tff(7234,plain,
% 2.43/2.67 (~r(s(s(s(s(z)))), z)),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[7164, 17, 234, 2, 7231, 7233])).
% 2.43/2.67 tff(7235,plain,
% 2.43/2.67 (b(s(s(s(s(z)))), z)),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[2083, 7234])).
% 2.43/2.67 tff(7236,plain,
% 2.43/2.67 (r(s(z), s(s(s(s(z)))))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[4511, 7235, 6709, 7229])).
% 2.43/2.67 tff(7237,plain,
% 2.43/2.67 (~b(s(z), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[5432, 91, 64, 7223, 7225, 7227, 58])).
% 2.43/2.67 tff(7238,plain,
% 2.43/2.67 (r(s(z), s(s(z)))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[698, 7237])).
% 2.43/2.67 tff(7239,plain,
% 2.43/2.67 (~r(z, s(s(s(s(z)))))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[7205, 7231, 7227, 7238, 7070, 91, 6998, 58])).
% 2.43/2.67 tff(7240,plain,
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% 2.43/2.67 inference(unit_resolution,[status(thm)],[54, 7239])).
% 2.43/2.67 tff(7241,plain,
% 2.43/2.67 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.67 inference(unit_resolution,[status(thm)],[6573, 7240, 58, 2, 7070])).
% 2.43/2.67 tff(7242,plain,
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% 2.43/2.67 inference(unit_resolution,[status(thm)],[2114, 7241])).
% 2.43/2.67 tff(7243,plain,
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% 2.43/2.67 tff(7244,plain,((~r(s(s(z)), s(z))) | (~r(z, s(s(z)))) | (~r(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(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(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.67 tff(7245,plain,
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% 2.43/2.67 inference(unit_resolution,[status(thm)],[7244, 7221, 58, 64, 7062, 63, 305, 62])).
% 2.43/2.67 tff(7246,plain,
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% 2.43/2.67 tff(7249,plain,
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% 2.43/2.67 tff(7250,plain,
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% 2.43/2.67 inference(unit_resolution,[status(thm)],[279, 7249])).
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% 2.43/2.67 tff(7255,plain,
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% 2.43/2.67 (((~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(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(s(z)))))), 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)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
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% 2.43/2.67 inference(monotonicity,[status(thm)],[7260])).
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% 2.43/2.67 tff(7266,plain,
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% 2.43/2.67 tff(7267,plain,
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% 2.43/2.67 tff(7268,plain,
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% 2.43/2.67 tff(7270,plain,
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% 2.43/2.67 tff(7276,plain,
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% 2.43/2.67 tff(7277,plain,
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% 2.43/2.67 tff(7280,plain,
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% 2.43/2.67 tff(7284,plain,
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% 2.43/2.67 tff(7291,plain,
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% 2.43/2.67 tff(7300,plain,
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% 2.43/2.67 inference(unit_resolution,[status(thm)],[232, 7342])).
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% 2.43/2.67 tff(7348,plain,
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% 2.43/2.68 tff(7378,plain,
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% 2.43/2.68 inference(monotonicity,[status(thm)],[7389])).
% 2.43/2.68 tff(7391,plain,
% 2.43/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.43/2.68 inference(transitivity,[status(thm)],[7390, 7388])).
% 2.43/2.68 tff(7392,plain,
% 2.43/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 2.43/2.68 inference(quant_inst,[status(thm)],[])).
% 2.43/2.68 tff(7393,plain,
% 2.43/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 2.43/2.68 tff(7394,plain,
% 2.43/2.68 ($false),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7393, 102, 4610, 66, 7387, 7329, 7379])).
% 2.43/2.68 tff(7395,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), 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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.68 tff(7396,plain,
% 2.43/2.68 (~b(z, s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7395, 5, 4, 64, 58])).
% 2.43/2.68 tff(7397,plain,
% 2.43/2.68 (r(z, s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[122, 7396])).
% 2.43/2.68 tff(7398,plain,
% 2.43/2.68 (~b(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[4209, 4626, 363, 4])).
% 2.43/2.68 tff(7399,plain,
% 2.43/2.68 (r(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[88, 7398])).
% 2.43/2.68 tff(7400,plain,
% 2.43/2.68 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[1040, 2, 1, 5])).
% 2.43/2.68 tff(7401,plain,
% 2.43/2.68 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[279, 7400])).
% 2.43/2.68 tff(7402,plain,
% 2.43/2.68 (~b(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[3543, 7375, 7401, 4626])).
% 2.43/2.68 tff(7403,plain,
% 2.43/2.68 (r(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[195, 7402])).
% 2.43/2.68 tff(7404,plain,
% 2.43/2.68 ($false),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[2466, 7403, 7399, 1, 5, 2])).
% 2.43/2.68 tff(7405,plain,((~r(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)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~b(s(z), 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(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.68 tff(7406,plain,
% 2.43/2.68 (~r(s(z), s(s(s(s(s(z))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7405, 5, 7311, 7397, 6709, 4, 64, 7349, 6998])).
% 2.43/2.68 tff(7407,plain,
% 2.43/2.68 (b(s(z), s(s(s(s(s(z))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[3202, 7406])).
% 2.43/2.68 tff(7408,plain,
% 2.43/2.68 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[1040, 7397, 7311, 5])).
% 2.43/2.68 tff(7409,plain,
% 2.43/2.68 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[279, 7408])).
% 2.43/2.68 tff(7410,plain,
% 2.43/2.68 ((~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[2569, 102, 4, 7329, 7409, 6709])).
% 2.43/2.68 tff(7411,plain,
% 2.43/2.68 (~b(s(z), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7410, 7407])).
% 2.43/2.68 tff(7412,plain,
% 2.43/2.68 (r(s(z), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[698, 7411])).
% 2.43/2.68 tff(7413,plain,
% 2.43/2.68 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[1162, 7412, 64, 6998, 5])).
% 2.43/2.68 tff(7414,plain,
% 2.43/2.68 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[409, 7413])).
% 2.43/2.68 tff(7415,plain,
% 2.43/2.68 (~b(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[4209, 7414, 6709, 4])).
% 2.43/2.68 tff(7416,plain,
% 2.43/2.68 (r(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[88, 7415])).
% 2.43/2.68 tff(7417,plain,
% 2.43/2.68 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[6874, 7416, 5, 7311, 7397])).
% 2.43/2.68 tff(7418,plain,
% 2.43/2.68 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[165, 7417])).
% 2.43/2.68 tff(7419,plain,
% 2.43/2.68 (~r(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[2466, 7416, 7311, 5, 7397])).
% 2.43/2.68 tff(7420,plain,
% 2.43/2.68 (b(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[195, 7419])).
% 2.43/2.68 tff(7421,plain,
% 2.43/2.68 ($false),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[3543, 7420, 7418, 7409, 7414])).
% 2.43/2.68 tff(7422,plain,((~r(s(s(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(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.68 tff(7423,plain,
% 2.43/2.68 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7422, 4, 64, 58])).
% 2.43/2.68 tff(7424,plain,
% 2.43/2.68 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[496, 7423])).
% 2.43/2.68 tff(7425,plain,
% 2.43/2.68 (~b(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[4209, 425, 6709, 4])).
% 2.43/2.68 tff(7426,plain,
% 2.43/2.68 (r(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[88, 7425])).
% 2.43/2.68 tff(7427,plain,
% 2.43/2.68 (~b(z, s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[6751, 3, 498, 4610, 60, 7333])).
% 2.43/2.68 tff(7428,plain,
% 2.43/2.68 (r(z, s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[122, 7427])).
% 2.43/2.68 tff(7429,plain,
% 2.43/2.68 (~r(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[578, 7428, 1, 7331, 7426])).
% 2.43/2.68 tff(7430,plain,
% 2.43/2.68 (b(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[195, 7429])).
% 2.43/2.68 tff(7431,plain,
% 2.43/2.68 (~r(s(s(z)), z)),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[6822, 3, 58, 67, 7426])).
% 2.43/2.68 tff(7432,plain,
% 2.43/2.68 (b(s(s(z)), z)),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[1392, 7431])).
% 2.43/2.68 tff(7433,plain,
% 2.43/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.43/2.68 inference(rewrite,[status(thm)],[])).
% 2.43/2.68 tff(7434,plain,
% 2.43/2.68 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.43/2.68 inference(rewrite,[status(thm)],[])).
% 2.43/2.68 tff(7435,plain,
% 2.43/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.43/2.68 inference(monotonicity,[status(thm)],[7434])).
% 2.43/2.68 tff(7436,plain,
% 2.43/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.43/2.68 inference(transitivity,[status(thm)],[7435, 7433])).
% 2.43/2.68 tff(7437,plain,
% 2.43/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 2.43/2.68 inference(quant_inst,[status(thm)],[])).
% 2.43/2.68 tff(7438,plain,
% 2.43/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.43/2.68 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 2.43/2.68 tff(7439,plain,
% 2.43/2.68 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7438, 102, 4610, 425, 7432, 7430, 60])).
% 2.43/2.68 tff(7440,plain,
% 2.43/2.68 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[232, 7439])).
% 2.43/2.68 tff(7441,plain,
% 2.43/2.68 (~r(s(z), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[3938, 7440, 7333, 3])).
% 2.43/2.68 tff(7442,plain,
% 2.43/2.68 (b(s(z), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[698, 7441])).
% 2.43/2.68 tff(7443,plain,
% 2.43/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.43/2.68 inference(rewrite,[status(thm)],[])).
% 2.43/2.68 tff(7444,plain,
% 2.43/2.68 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), s(s(z)))) | (~b(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(z))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.43/2.68 inference(rewrite,[status(thm)],[])).
% 2.43/2.68 tff(7445,plain,
% 2.43/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.43/2.68 inference(monotonicity,[status(thm)],[7444])).
% 2.43/2.68 tff(7446,plain,
% 2.43/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.43/2.68 inference(transitivity,[status(thm)],[7445, 7443])).
% 2.43/2.68 tff(7447,plain,
% 2.43/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(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(z)))))),
% 2.43/2.68 inference(quant_inst,[status(thm)],[])).
% 2.43/2.68 tff(7448,plain,
% 2.43/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.43/2.68 inference(modus_ponens,[status(thm)],[7447, 7446])).
% 2.43/2.68 tff(7449,plain,
% 2.43/2.68 ($false),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7448, 102, 7442, 425, 498, 7432, 7430, 4])).
% 2.43/2.68 tff(7450,plain,((~r(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)))) | (~b(s(s(s(s(s(s(z)))))), 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(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.68 tff(7451,plain,
% 2.43/2.68 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7450, 7335, 7424, 4, 60, 7311, 58, 6998])).
% 2.43/2.68 tff(7452,plain,
% 2.43/2.68 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[1711, 7451])).
% 2.43/2.68 tff(7453,plain,
% 2.43/2.68 ($false),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[6948, 102, 4610, 7335, 7424, 4, 7452, 6709])).
% 2.43/2.68 tff(7454,plain,((~b(s(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(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.68 tff(7455,plain,
% 2.43/2.68 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7454, 4, 58, 64])).
% 2.43/2.68 tff(7456,plain,
% 2.43/2.68 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[341, 7455])).
% 2.43/2.68 tff(7457,plain,
% 2.43/2.68 (~b(z, s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[3151, 3, 1, 58, 305, 4])).
% 2.43/2.68 tff(7458,plain,
% 2.43/2.68 (r(z, s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[122, 7457])).
% 2.43/2.68 tff(7459,plain,
% 2.43/2.68 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[5551, 7458, 305, 3, 58])).
% 2.43/2.68 tff(7460,plain,
% 2.43/2.68 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[279, 7459])).
% 2.43/2.68 tff(7461,plain,
% 2.43/2.68 (~r(s(s(z)), z)),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[2229, 3, 58, 1, 305])).
% 2.43/2.68 tff(7462,plain,
% 2.43/2.68 (b(s(s(z)), z)),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[1392, 7461])).
% 2.43/2.68 tff(7463,plain,
% 2.43/2.68 (~r(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[3084, 7458, 58, 67, 3])).
% 2.43/2.68 tff(7464,plain,
% 2.43/2.68 (b(s(s(z)), s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[195, 7463])).
% 2.43/2.68 tff(7465,plain,
% 2.43/2.68 (~b(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[2744, 7464, 6709, 7462])).
% 2.43/2.68 tff(7466,plain,
% 2.43/2.68 (r(z, s(z))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[88, 7465])).
% 2.43/2.68 tff(7467,plain,
% 2.43/2.68 ($false),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7020, 17, 780, 58, 67, 3, 68])).
% 2.43/2.68 tff(7468,plain,((~r(s(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(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.68 tff(7469,plain,
% 2.43/2.68 (~r(s(z), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[7468, 3, 67, 58, 7466])).
% 2.43/2.68 tff(7470,plain,
% 2.43/2.68 (b(s(z), s(s(z)))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[698, 7469])).
% 2.43/2.68 tff(7471,plain,
% 2.43/2.68 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[2774, 7470, 498, 7460])).
% 2.43/2.68 tff(7472,plain,
% 2.43/2.68 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.43/2.68 inference(unit_resolution,[status(thm)],[165, 7471])).
% 2.43/2.68 tff(7473,plain,
% 2.43/2.68 (((~![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(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(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(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(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.68 inference(rewrite,[status(thm)],[])).
% 2.43/2.68 tff(7474,plain,
% 2.43/2.68 (((~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(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(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7475,plain,
% 2.43/2.69 (((~![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(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(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(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))))),
% 2.43/2.69 inference(monotonicity,[status(thm)],[7474])).
% 2.43/2.69 tff(7476,plain,
% 2.43/2.69 (((~![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(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(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(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))))),
% 2.43/2.69 inference(transitivity,[status(thm)],[7475, 7473])).
% 2.43/2.69 tff(7477,plain,
% 2.43/2.69 ((~![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(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)))),
% 2.43/2.69 inference(quant_inst,[status(thm)],[])).
% 2.43/2.69 tff(7478,plain,
% 2.43/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 2.43/2.69 inference(modus_ponens,[status(thm)],[7477, 7476])).
% 2.43/2.69 tff(7479,plain,
% 2.43/2.69 ($false),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7478, 17, 58, 67, 7466, 305, 7472])).
% 2.43/2.69 tff(7480,plain,((~r(s(s(s(s(s(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(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), 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,[]))).
% 2.43/2.69 tff(7481,plain,
% 2.43/2.69 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7480, 7456, 6998, 58, 7424, 7311, 4])).
% 2.43/2.69 tff(7482,plain,
% 2.43/2.69 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[1711, 7481])).
% 2.43/2.69 tff(7483,plain,
% 2.43/2.69 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[6948, 102, 4610, 7424, 4, 7482, 6709])).
% 2.43/2.69 tff(7484,plain,
% 2.43/2.69 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[409, 7483])).
% 2.43/2.69 tff(7485,plain,
% 2.43/2.69 ($false),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[993, 17, 58, 6998, 7484, 7311, 7456])).
% 2.43/2.69 tff(7486,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.69 tff(7487,plain,
% 2.43/2.69 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7486, 64, 58])).
% 2.43/2.69 tff(7488,plain,
% 2.43/2.69 (r(s(s(s(s(s(s(z)))))), z)),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[252, 7487])).
% 2.43/2.69 tff(7489,plain,
% 2.43/2.69 (~b(s(s(z)), z)),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7004, 66, 3, 6709, 6998])).
% 2.43/2.69 tff(7490,plain,
% 2.43/2.69 (r(s(s(z)), z)),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[1392, 7489])).
% 2.43/2.69 tff(7491,plain,
% 2.43/2.69 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[6733, 7490, 7488, 3, 64])).
% 2.43/2.69 tff(7492,plain,
% 2.43/2.69 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[496, 7491])).
% 2.43/2.69 tff(7493,plain,
% 2.43/2.69 (~r(s(z), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[1861, 7490, 58, 6998, 3])).
% 2.43/2.69 tff(7494,plain,
% 2.43/2.69 (b(s(z), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[698, 7493])).
% 2.43/2.69 tff(7495,plain,
% 2.43/2.69 ($false),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[4894, 7494, 7492, 4610, 66])).
% 2.43/2.69 tff(7496,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.69 tff(7497,plain,
% 2.43/2.69 (~b(z, s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7496, 3, 58, 64])).
% 2.43/2.69 tff(7498,plain,
% 2.43/2.69 (r(z, s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[122, 7497])).
% 2.43/2.69 tff(7499,plain,
% 2.43/2.69 (~r(s(s(z)), s(z))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[3084, 7498, 58, 6998, 3])).
% 2.43/2.69 tff(7500,plain,
% 2.43/2.69 (b(s(s(z)), s(z))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[195, 7499])).
% 2.43/2.69 tff(7501,plain,
% 2.43/2.69 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[1524, 7498, 58, 64, 7488])).
% 2.43/2.69 tff(7502,plain,
% 2.43/2.69 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[496, 7501])).
% 2.43/2.69 tff(7503,plain,
% 2.43/2.69 (~r(s(s(z)), z)),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[1762, 7498, 3, 58])).
% 2.43/2.69 tff(7504,plain,
% 2.43/2.69 (b(s(s(z)), z)),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[1392, 7503])).
% 2.43/2.69 tff(7505,plain,
% 2.43/2.69 (~b(z, s(z))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[2744, 7500, 6709, 7504])).
% 2.43/2.69 tff(7506,plain,
% 2.43/2.69 (r(z, s(z))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[88, 7505])).
% 2.43/2.69 tff(7507,plain,
% 2.43/2.69 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[3954, 17, 58, 3, 63, 2])).
% 2.43/2.69 tff(7508,plain,
% 2.43/2.69 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[341, 7507])).
% 2.43/2.69 tff(7509,plain,
% 2.43/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7510,plain,
% 2.43/2.69 (((~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(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(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(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7511,plain,
% 2.43/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.43/2.69 inference(monotonicity,[status(thm)],[7510])).
% 2.43/2.69 tff(7512,plain,
% 2.43/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.43/2.69 inference(transitivity,[status(thm)],[7511, 7509])).
% 2.43/2.69 tff(7513,plain,
% 2.43/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.43/2.69 inference(quant_inst,[status(thm)],[])).
% 2.43/2.69 tff(7514,plain,
% 2.43/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.43/2.69 inference(modus_ponens,[status(thm)],[7513, 7512])).
% 2.43/2.69 tff(7515,plain,
% 2.43/2.69 ($false),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7514, 102, 540, 56, 254, 60, 7119, 3410])).
% 2.43/2.69 tff(7516,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(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))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.69 tff(7517,plain,
% 2.43/2.69 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7516, 3410, 56, 254, 60, 4610])).
% 2.43/2.69 tff(7518,plain,
% 2.43/2.69 (r(s(s(z)), s(s(s(s(z)))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[3456, 7517, 3443])).
% 2.43/2.69 tff(7519,assumption,(r(s(s(z)), s(s(s(s(z)))))), introduced(assumption)).
% 2.43/2.69 tff(7520,plain,
% 2.43/2.69 (((~![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(z))))), z)) | (~r(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(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(z))))), z)) | (~r(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(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7521,plain,
% 2.43/2.69 (((~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(s(s(s(s(s(z))))), z)) | (~r(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(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7522,plain,
% 2.43/2.69 (((~![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(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(s(s(s(s(s(z))))), z)) | (~r(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(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 2.43/2.69 inference(monotonicity,[status(thm)],[7521])).
% 2.43/2.69 tff(7523,plain,
% 2.43/2.69 (((~![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(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(s(s(s(s(s(z))))), z)) | (~r(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(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.43/2.69 inference(transitivity,[status(thm)],[7522, 7520])).
% 2.43/2.69 tff(7524,plain,
% 2.43/2.69 ((~![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(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)))),
% 2.43/2.69 inference(quant_inst,[status(thm)],[])).
% 2.43/2.69 tff(7525,plain,
% 2.43/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 2.43/2.69 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 2.43/2.69 tff(7526,plain,
% 2.43/2.69 ($false),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7525, 17, 58, 3, 2, 7519, 4318])).
% 2.43/2.69 tff(7527,plain,((~r(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(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.69 tff(7528,plain,
% 2.43/2.69 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7527, 7518, 3, 2, 58])).
% 2.43/2.69 tff(7529,plain,
% 2.43/2.69 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[2114, 7528])).
% 2.43/2.69 tff(7530,plain,
% 2.43/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(s(z)))))))))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7531,plain,
% 2.43/2.69 (((~b(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(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(z)))) | (~b(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(s(s(s(s(s(z)))))))))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7532,plain,
% 2.43/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(s(s(s(s(z))))))))))),
% 2.43/2.69 inference(monotonicity,[status(thm)],[7531])).
% 2.43/2.69 tff(7533,plain,
% 2.43/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(s(s(s(s(z)))))))))),
% 2.43/2.69 inference(transitivity,[status(thm)],[7532, 7530])).
% 2.43/2.69 tff(7534,plain,
% 2.43/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.43/2.69 inference(quant_inst,[status(thm)],[])).
% 2.43/2.69 tff(7535,plain,
% 2.43/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.43/2.69 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 2.43/2.69 tff(7536,plain,
% 2.43/2.69 ($false),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7535, 102, 498, 254, 60, 5086, 3366])).
% 2.43/2.69 tff(7537,plain,((~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(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))))))), inference(lemma,lemma(discharge,[]))).
% 2.43/2.69 tff(7538,plain,
% 2.43/2.69 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[7537, 7529, 498, 60, 254])).
% 2.43/2.69 tff(7539,plain,
% 2.43/2.69 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[2072, 7538])).
% 2.43/2.69 tff(7540,plain,
% 2.43/2.69 (~b(z, s(s(s(s(z)))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[6571, 102, 4610, 7529, 3410])).
% 2.43/2.69 tff(7541,plain,
% 2.43/2.69 (r(z, s(s(s(s(z)))))),
% 2.43/2.69 inference(unit_resolution,[status(thm)],[54, 7540])).
% 2.43/2.69 tff(7542,plain,
% 2.43/2.69 (((~![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(s(z)))))))) | (~r(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(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(z)))) | (~r(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)))))))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7543,plain,
% 2.43/2.69 (((~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(s(s(s(s(z)))))))) | (~r(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(z, s(s(s(s(z)))))))),
% 2.43/2.69 inference(rewrite,[status(thm)],[])).
% 2.43/2.69 tff(7544,plain,
% 2.43/2.69 (((~![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(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(s(s(s(s(z)))))))) | (~r(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(z, s(s(s(s(z))))))))),
% 2.43/2.69 inference(monotonicity,[status(thm)],[7543])).
% 2.43/2.69 tff(7545,plain,
% 2.43/2.69 (((~![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(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(s(s(s(s(z)))))))) | (~r(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(z, s(s(s(s(z)))))))),
% 2.43/2.69 inference(transitivity,[status(thm)],[7544, 7542])).
% 2.43/2.69 tff(7546,plain,
% 2.43/2.69 ((~![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(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)))))),
% 2.43/2.69 inference(quant_inst,[status(thm)],[])).
% 2.53/2.70 tff(7547,plain,
% 2.53/2.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))),
% 2.53/2.70 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 2.53/2.70 tff(7548,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7547, 17, 2, 1, 7518, 7541, 7539])).
% 2.53/2.70 tff(7549,plain,((~b(s(s(s(s(z)))), 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(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)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.70 tff(7550,plain,
% 2.53/2.70 (~b(s(s(s(s(z)))), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7549, 254, 1, 498, 7508, 2, 3, 58, 56])).
% 2.53/2.70 tff(7551,plain,
% 2.53/2.70 (r(s(s(s(s(z)))), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[2083, 7550])).
% 2.53/2.70 tff(7552,plain,
% 2.53/2.70 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[5083, 7551, 2, 3, 58])).
% 2.53/2.70 tff(7553,plain,
% 2.53/2.70 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[2114, 7552])).
% 2.53/2.70 tff(7554,plain,
% 2.53/2.70 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7537, 7553, 498, 7508, 254])).
% 2.53/2.70 tff(7555,plain,
% 2.53/2.70 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[2072, 7554])).
% 2.53/2.70 tff(7556,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[4413, 17, 63, 1, 7551, 7555])).
% 2.53/2.70 tff(7557,plain,((~b(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(s(s(z)))))), 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)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.70 tff(7558,plain,
% 2.53/2.70 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7557, 7504, 7311, 7488, 7502, 3, 58, 7498])).
% 2.53/2.70 tff(7559,plain,
% 2.53/2.70 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[279, 7558])).
% 2.53/2.70 tff(7560,plain,
% 2.53/2.70 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[6958, 7559, 7311, 7498, 7506])).
% 2.53/2.70 tff(7561,plain,
% 2.53/2.70 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[409, 7560])).
% 2.53/2.70 tff(7562,plain,
% 2.53/2.70 (~r(s(z), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7468, 7506, 6998, 58, 3])).
% 2.53/2.70 tff(7563,plain,
% 2.53/2.70 (b(s(z), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[698, 7562])).
% 2.53/2.70 tff(7564,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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))))),
% 2.53/2.70 inference(rewrite,[status(thm)],[])).
% 2.53/2.70 tff(7565,plain,
% 2.53/2.70 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), 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(z)), 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))))),
% 2.53/2.70 inference(rewrite,[status(thm)],[])).
% 2.53/2.70 tff(7566,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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)))))),
% 2.53/2.70 inference(monotonicity,[status(thm)],[7565])).
% 2.53/2.70 tff(7567,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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))))),
% 2.53/2.70 inference(transitivity,[status(thm)],[7566, 7564])).
% 2.53/2.70 tff(7568,plain,
% 2.53/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), 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))))),
% 2.53/2.70 inference(quant_inst,[status(thm)],[])).
% 2.53/2.70 tff(7569,plain,
% 2.53/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.53/2.70 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 2.53/2.70 tff(7570,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7569, 102, 7563, 7561, 7502, 7500])).
% 2.53/2.70 tff(7571,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.70 tff(7572,plain,
% 2.53/2.70 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7571, 64, 58])).
% 2.53/2.70 tff(7573,plain,
% 2.53/2.70 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1711, 7572])).
% 2.53/2.70 tff(7574,plain,
% 2.53/2.70 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[680, 7488, 58, 7311])).
% 2.53/2.70 tff(7575,plain,
% 2.53/2.70 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[341, 7574])).
% 2.53/2.70 tff(7576,plain,
% 2.53/2.70 (~b(z, s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7048, 7573, 7488, 64, 58])).
% 2.53/2.70 tff(7577,plain,
% 2.53/2.70 (r(z, s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[122, 7576])).
% 2.53/2.70 tff(7578,plain,
% 2.53/2.70 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1524, 63, 58, 64, 2])).
% 2.53/2.70 tff(7579,plain,
% 2.53/2.70 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[496, 7578])).
% 2.53/2.70 tff(7580,plain,
% 2.53/2.70 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[2713, 63, 1, 65])).
% 2.53/2.70 tff(7581,plain,
% 2.53/2.70 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[279, 7580])).
% 2.53/2.70 tff(7582,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[2442, 7581, 7579, 57, 60])).
% 2.53/2.70 tff(7583,plain,((~r(s(s(s(s(s(s(z)))))), 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)))))))) | (~r(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(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.70 tff(7584,plain,
% 2.53/2.70 (~r(s(s(z)), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7583, 7577, 7311, 7488, 7575, 58, 64, 7573])).
% 2.53/2.70 tff(7585,plain,
% 2.53/2.70 (b(s(s(z)), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1392, 7584])).
% 2.53/2.70 tff(7586,plain,
% 2.53/2.70 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1524, 7577, 58, 64, 7488])).
% 2.53/2.70 tff(7587,plain,
% 2.53/2.70 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[496, 7586])).
% 2.53/2.70 tff(7588,plain,
% 2.53/2.70 (~b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1384, 7587, 7573, 7585, 58])).
% 2.53/2.70 tff(7589,plain,
% 2.53/2.70 (r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[3202, 7588])).
% 2.53/2.70 tff(7590,plain,
% 2.53/2.70 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1052, 7587, 7311, 7573, 7585])).
% 2.53/2.70 tff(7591,plain,
% 2.53/2.70 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[232, 7590])).
% 2.53/2.70 tff(7592,plain,
% 2.53/2.70 (~r(s(s(z)), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[3785, 7591, 6998, 7589])).
% 2.53/2.70 tff(7593,plain,
% 2.53/2.70 (b(s(s(z)), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[195, 7592])).
% 2.53/2.70 tff(7594,plain,
% 2.53/2.70 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[4153, 7589, 64, 6998])).
% 2.53/2.70 tff(7595,plain,
% 2.53/2.70 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[409, 7594])).
% 2.53/2.70 tff(7596,plain,
% 2.53/2.70 (~b(z, s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[2744, 7593, 6709, 7585])).
% 2.53/2.70 tff(7597,plain,
% 2.53/2.70 (r(z, s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[88, 7596])).
% 2.53/2.70 tff(7598,plain,
% 2.53/2.70 (~r(s(z), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1180, 7597, 7311, 7573, 7585, 7577, 7587, 58])).
% 2.53/2.70 tff(7599,plain,
% 2.53/2.70 (b(s(z), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[698, 7598])).
% 2.53/2.70 tff(7600,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7569, 102, 7599, 7595, 7587, 7593])).
% 2.53/2.70 tff(7601,plain,((~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,[]))).
% 2.53/2.70 tff(7602,plain,
% 2.53/2.70 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7601, 58])).
% 2.53/2.70 tff(7603,plain,
% 2.53/2.70 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[361, 7602])).
% 2.53/2.70 tff(7604,plain,
% 2.53/2.70 (~b(s(s(z)), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[6771, 56, 4610, 343, 6709])).
% 2.53/2.70 tff(7605,plain,
% 2.53/2.70 (r(s(s(z)), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[195, 7604])).
% 2.53/2.70 tff(7606,plain,
% 2.53/2.70 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[6136, 56, 4610, 7603, 498])).
% 2.53/2.70 tff(7607,plain,
% 2.53/2.70 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1711, 7606])).
% 2.53/2.70 tff(7608,plain,
% 2.53/2.70 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[6741, 102, 4610, 56, 343, 6709])).
% 2.53/2.70 tff(7609,plain,
% 2.53/2.70 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[232, 7608])).
% 2.53/2.70 tff(7610,plain,
% 2.53/2.70 (~b(z, s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[4138, 7609, 6709, 58, 6719, 7607, 6717, 7605])).
% 2.53/2.70 tff(7611,plain,
% 2.53/2.70 (r(z, s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[122, 7610])).
% 2.53/2.70 tff(7612,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.70 inference(rewrite,[status(thm)],[])).
% 2.53/2.70 tff(7613,plain,
% 2.53/2.70 (((~b(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(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), 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))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.70 inference(rewrite,[status(thm)],[])).
% 2.53/2.70 tff(7614,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.53/2.70 inference(monotonicity,[status(thm)],[7613])).
% 2.53/2.70 tff(7615,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.70 inference(transitivity,[status(thm)],[7614, 7612])).
% 2.53/2.70 tff(7616,plain,
% 2.53/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.53/2.70 inference(quant_inst,[status(thm)],[])).
% 2.53/2.70 tff(7617,plain,
% 2.53/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 2.53/2.70 tff(7618,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7617, 102, 540, 343, 4, 364, 363])).
% 2.53/2.70 tff(7619,plain,((~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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.70 tff(7620,plain,
% 2.53/2.70 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7619, 343, 4610, 7603, 6709])).
% 2.53/2.70 tff(7621,plain,
% 2.53/2.70 (r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[252, 7620])).
% 2.53/2.70 tff(7622,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.70 inference(rewrite,[status(thm)],[])).
% 2.53/2.70 tff(7623,plain,
% 2.53/2.70 (((~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(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(z), z)) | (~b(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))))))))),
% 2.53/2.70 inference(rewrite,[status(thm)],[])).
% 2.53/2.70 tff(7624,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.53/2.70 inference(monotonicity,[status(thm)],[7623])).
% 2.53/2.70 tff(7625,plain,
% 2.53/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.70 inference(transitivity,[status(thm)],[7624, 7622])).
% 2.53/2.70 tff(7626,plain,
% 2.53/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.53/2.70 inference(quant_inst,[status(thm)],[])).
% 2.53/2.70 tff(7627,plain,
% 2.53/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(modus_ponens,[status(thm)],[7626, 7625])).
% 2.53/2.70 tff(7628,plain,
% 2.53/2.70 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7627, 102, 4610, 343, 7603, 6709])).
% 2.53/2.70 tff(7629,plain,
% 2.53/2.70 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[409, 7628])).
% 2.53/2.70 tff(7630,plain,
% 2.53/2.70 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[3887, 7609, 7629, 6717, 7605])).
% 2.53/2.70 tff(7631,plain,
% 2.53/2.70 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[279, 7630])).
% 2.53/2.70 tff(7632,plain,
% 2.53/2.70 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7557, 7631, 56, 7621, 498, 7607, 58, 7611])).
% 2.53/2.70 tff(7633,plain,
% 2.53/2.70 (~r(s(z), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[3938, 7609, 6717, 7607])).
% 2.53/2.70 tff(7634,plain,
% 2.53/2.70 (b(s(z), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[698, 7633])).
% 2.53/2.70 tff(7635,plain,
% 2.53/2.70 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[616, 7634, 6709, 498, 56])).
% 2.53/2.70 tff(7636,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[538, 7635, 7632])).
% 2.53/2.70 tff(7637,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.70 tff(7638,plain,
% 2.53/2.70 (~b(s(s(z)), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7637, 498, 58, 343])).
% 2.53/2.70 tff(7639,plain,
% 2.53/2.70 (r(s(s(z)), z)),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1392, 7638])).
% 2.53/2.70 tff(7640,plain,
% 2.53/2.70 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1711, 6906])).
% 2.53/2.70 tff(7641,plain,
% 2.53/2.70 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[6751, 7640, 6717, 4610, 498, 66])).
% 2.53/2.70 tff(7642,plain,
% 2.53/2.70 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[341, 7641])).
% 2.53/2.70 tff(7643,plain,
% 2.53/2.70 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[3956, 7642, 58, 7621, 498, 7640])).
% 2.53/2.70 tff(7644,plain,
% 2.53/2.70 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[2165, 7642, 58, 7621, 7640])).
% 2.53/2.70 tff(7645,plain,
% 2.53/2.70 ($false),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[279, 7644, 7643])).
% 2.53/2.70 tff(7646,plain,((~b(z, s(s(z)))) | (~r(s(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(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.70 tff(7647,plain,
% 2.53/2.70 (~b(z, s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[7646, 498, 58, 343])).
% 2.53/2.70 tff(7648,plain,
% 2.53/2.70 (r(z, s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[122, 7647])).
% 2.53/2.70 tff(7649,plain,
% 2.53/2.70 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.70 inference(unit_resolution,[status(thm)],[1762, 7648, 7639, 58])).
% 2.53/2.70 tff(7650,plain,
% 2.53/2.70 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1711, 7649])).
% 2.53/2.71 tff(7651,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1346, 7650, 7603, 498])).
% 2.53/2.71 tff(7652,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[232, 7651])).
% 2.53/2.71 tff(7653,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3926, 7650, 7603, 498])).
% 2.53/2.71 tff(7654,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[279, 7653])).
% 2.53/2.71 tff(7655,plain,
% 2.53/2.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3317, 7654, 7652, 7621, 7639])).
% 2.53/2.71 tff(7656,plain,
% 2.53/2.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7655])).
% 2.53/2.71 tff(7657,plain,
% 2.53/2.71 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6196, 7654, 7603, 58, 498, 7650])).
% 2.53/2.71 tff(7658,plain,
% 2.53/2.71 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[538, 7657])).
% 2.53/2.71 tff(7659,plain,
% 2.53/2.71 (~r(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2687, 7654, 6719, 7621, 7639])).
% 2.53/2.71 tff(7660,plain,
% 2.53/2.71 (b(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[195, 7659])).
% 2.53/2.71 tff(7661,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3305, 7660, 7658, 6709, 343, 7650, 7656])).
% 2.53/2.71 tff(7662,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7663,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7662, 343, 58])).
% 2.53/2.71 tff(7664,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[496, 7663])).
% 2.53/2.71 tff(7665,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7627, 102, 540, 343, 364, 363])).
% 2.53/2.71 tff(7666,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[409, 7665])).
% 2.53/2.71 tff(7667,plain,
% 2.53/2.71 (~b(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6771, 56, 540, 343, 363])).
% 2.53/2.71 tff(7668,plain,
% 2.53/2.71 (r(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[195, 7667])).
% 2.53/2.71 tff(7669,plain,
% 2.53/2.71 (~r(s(z), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[856, 7668, 7666, 5])).
% 2.53/2.71 tff(7670,plain,
% 2.53/2.71 (b(s(z), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[698, 7669])).
% 2.53/2.71 tff(7671,plain,
% 2.53/2.71 (~b(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2972, 7670, 363, 56])).
% 2.53/2.71 tff(7672,plain,
% 2.53/2.71 (r(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[122, 7671])).
% 2.53/2.71 tff(7673,plain,
% 2.53/2.71 (((~![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(z)), s(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)))))), 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(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(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 2.53/2.71 inference(rewrite,[status(thm)],[])).
% 2.53/2.71 tff(7674,plain,
% 2.53/2.71 (((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), 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(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(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 2.53/2.71 inference(rewrite,[status(thm)],[])).
% 2.53/2.71 tff(7675,plain,
% 2.53/2.71 (((~![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(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), 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(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(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))))),
% 2.53/2.71 inference(monotonicity,[status(thm)],[7674])).
% 2.53/2.71 tff(7676,plain,
% 2.53/2.71 (((~![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(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), 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(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(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))))),
% 2.53/2.71 inference(transitivity,[status(thm)],[7675, 7673])).
% 2.53/2.71 tff(7677,plain,
% 2.53/2.71 ((~![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(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), 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)))),
% 2.53/2.71 inference(quant_inst,[status(thm)],[])).
% 2.53/2.71 tff(7678,plain,
% 2.53/2.71 ((~![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(z)), s(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)))))), s(s(z)))) | (~r(z, s(s(z))))),
% 2.53/2.71 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 2.53/2.71 tff(7679,plain,
% 2.53/2.71 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7678, 17, 7668, 5, 7666, 7672])).
% 2.53/2.71 tff(7680,plain,
% 2.53/2.71 (b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[252, 7679])).
% 2.53/2.71 tff(7681,plain,
% 2.53/2.71 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6263, 7680, 540, 364])).
% 2.53/2.71 tff(7682,plain,
% 2.53/2.71 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7681])).
% 2.53/2.71 tff(7683,plain,
% 2.53/2.71 (~b(z, s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[5754, 343, 540, 363])).
% 2.53/2.71 tff(7684,plain,
% 2.53/2.71 (r(z, s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[88, 7683])).
% 2.53/2.71 tff(7685,plain,
% 2.53/2.71 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2466, 7672, 5, 7684, 7668])).
% 2.53/2.71 tff(7686,plain,
% 2.53/2.71 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[538, 7685])).
% 2.53/2.71 tff(7687,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[262, 7680, 56, 7686])).
% 2.53/2.71 tff(7688,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[279, 7687])).
% 2.53/2.71 tff(7689,plain,
% 2.53/2.71 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2100, 7688, 5, 7682])).
% 2.53/2.71 tff(7690,plain,
% 2.53/2.71 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4432, 7688, 363, 364, 7666, 7668, 7686, 5])).
% 2.53/2.71 tff(7691,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1711, 7690, 7689])).
% 2.53/2.71 tff(7692,plain,((~b(s(s(z)), 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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7693,plain,
% 2.53/2.71 (~b(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7692, 7664, 7603, 6709, 4610, 343])).
% 2.53/2.71 tff(7694,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4095, 17, 5, 393, 68, 63, 65])).
% 2.53/2.71 tff(7695,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7696,plain,
% 2.53/2.71 (~r(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7695, 7664, 7629, 6719, 7621])).
% 2.53/2.71 tff(7697,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1392, 7696, 7693])).
% 2.53/2.71 tff(7698,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7699,plain,
% 2.53/2.71 (~b(s(s(s(s(s(z))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7698, 58])).
% 2.53/2.71 tff(7700,plain,
% 2.53/2.71 (r(s(s(s(s(s(z))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[303, 7699])).
% 2.53/2.71 tff(7701,plain,
% 2.53/2.71 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6263, 4, 540, 364])).
% 2.53/2.71 tff(7702,plain,
% 2.53/2.71 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7701])).
% 2.53/2.71 tff(7703,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4209, 4, 363, 382])).
% 2.53/2.71 tff(7704,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[409, 7703])).
% 2.53/2.71 tff(7705,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2433, 17, 67, 7704, 7702, 4027])).
% 2.53/2.71 tff(7706,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7707,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7706, 382, 7700, 6709, 4610, 7603])).
% 2.53/2.71 tff(7708,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[252, 7707])).
% 2.53/2.71 tff(7709,plain,
% 2.53/2.71 (~r(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2482, 5, 7708, 2])).
% 2.53/2.71 tff(7710,plain,
% 2.53/2.71 (b(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1392, 7709])).
% 2.53/2.71 tff(7711,plain,
% 2.53/2.71 (~b(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2744, 7710, 6709, 382])).
% 2.53/2.71 tff(7712,plain,
% 2.53/2.71 (r(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[195, 7711])).
% 2.53/2.71 tff(7713,plain,
% 2.53/2.71 (~b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2601, 7712, 6709, 57, 58, 7710])).
% 2.53/2.71 tff(7714,plain,
% 2.53/2.71 (r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3202, 7713])).
% 2.53/2.71 tff(7715,plain,
% 2.53/2.71 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3785, 7714, 7700, 7712])).
% 2.53/2.71 tff(7716,plain,
% 2.53/2.71 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[232, 7715])).
% 2.53/2.71 tff(7717,plain,
% 2.53/2.71 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6116, 7714, 7603, 7700, 7708, 57, 2, 4610, 382])).
% 2.53/2.71 tff(7718,plain,
% 2.53/2.71 (r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[538, 7717])).
% 2.53/2.71 tff(7719,plain,
% 2.53/2.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[680, 7718, 58, 7708])).
% 2.53/2.71 tff(7720,plain,
% 2.53/2.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7719])).
% 2.53/2.71 tff(7721,plain,
% 2.53/2.71 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1040, 7718, 2, 5])).
% 2.53/2.71 tff(7722,plain,
% 2.53/2.71 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[279, 7721])).
% 2.53/2.71 tff(7723,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2876, 102, 7603, 7722, 7720, 7716])).
% 2.53/2.71 tff(7724,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7725,plain,
% 2.53/2.71 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7724, 2, 58, 57, 382])).
% 2.53/2.71 tff(7726,plain,
% 2.53/2.71 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[496, 7725])).
% 2.53/2.71 tff(7727,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3926, 7726, 7603, 57])).
% 2.53/2.71 tff(7728,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[279, 7727])).
% 2.53/2.71 tff(7729,plain,
% 2.53/2.71 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6196, 7728, 7603, 58, 7726, 57])).
% 2.53/2.71 tff(7730,plain,
% 2.53/2.71 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[538, 7729])).
% 2.53/2.71 tff(7731,plain,
% 2.53/2.71 (~b(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6136, 7726, 4610, 7603, 57])).
% 2.53/2.71 tff(7732,plain,
% 2.53/2.71 (r(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1392, 7731])).
% 2.53/2.71 tff(7733,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1346, 7726, 7603, 57])).
% 2.53/2.71 tff(7734,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[232, 7733])).
% 2.53/2.71 tff(7735,plain,
% 2.53/2.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3317, 7734, 7728, 7708, 7732])).
% 2.53/2.71 tff(7736,plain,
% 2.53/2.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7735])).
% 2.53/2.71 tff(7737,plain,
% 2.53/2.71 (~r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6128, 7730, 58, 7603, 7700, 7708, 2, 7728, 382])).
% 2.53/2.71 tff(7738,plain,
% 2.53/2.71 (b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3202, 7737])).
% 2.53/2.71 tff(7739,plain,
% 2.53/2.71 (~b(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6106, 7730, 7603, 4610, 382, 57])).
% 2.53/2.71 tff(7740,plain,
% 2.53/2.71 (r(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[195, 7739])).
% 2.53/2.71 tff(7741,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1362, 364, 498, 57, 91, 62, 124, 382])).
% 2.53/2.71 tff(7742,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[409, 7741])).
% 2.53/2.71 tff(7743,plain,
% 2.53/2.71 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1190, 364, 91, 60])).
% 2.53/2.71 tff(7744,plain,
% 2.53/2.71 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[165, 7743])).
% 2.53/2.71 tff(7745,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1441, 7744, 7742, 62, 234])).
% 2.53/2.71 tff(7746,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7747,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7746, 7740, 7738, 7603, 7726, 7736, 57, 7728, 7730, 382])).
% 2.53/2.71 tff(7748,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7749,plain,
% 2.53/2.71 (~r(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7748, 57, 382, 58])).
% 2.53/2.71 tff(7750,plain,
% 2.53/2.71 (b(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[122, 7749])).
% 2.53/2.71 tff(7751,plain,
% 2.53/2.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6434, 7750, 7603, 58, 7708, 57])).
% 2.53/2.71 tff(7752,plain,
% 2.53/2.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7751])).
% 2.53/2.71 tff(7753,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4618, 7750, 4610, 57])).
% 2.53/2.71 tff(7754,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[232, 7753])).
% 2.53/2.71 tff(7755,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4059, 7750, 7603, 58, 7708, 57])).
% 2.53/2.71 tff(7756,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[279, 7755])).
% 2.53/2.71 tff(7757,plain,
% 2.53/2.71 (~b(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[719, 7750, 4610, 57])).
% 2.53/2.71 tff(7758,plain,
% 2.53/2.71 (r(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1392, 7757])).
% 2.53/2.71 tff(7759,plain,
% 2.53/2.71 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1483, 7754, 58, 7758, 7756])).
% 2.53/2.71 tff(7760,plain,
% 2.53/2.71 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[538, 7759])).
% 2.53/2.71 tff(7761,plain,
% 2.53/2.71 (~b(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[6106, 7760, 7603, 4610, 382, 57])).
% 2.53/2.71 tff(7762,plain,
% 2.53/2.71 (r(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[195, 7761])).
% 2.53/2.71 tff(7763,plain,
% 2.53/2.71 (~r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3785, 7762, 7700, 7754])).
% 2.53/2.71 tff(7764,plain,
% 2.53/2.71 (b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3202, 7763])).
% 2.53/2.71 tff(7765,plain,
% 2.53/2.71 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[288, 7762, 7700, 7754, 7756])).
% 2.53/2.71 tff(7766,plain,
% 2.53/2.71 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[165, 7765])).
% 2.53/2.71 tff(7767,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1190, 7766, 7764, 7603, 7752])).
% 2.53/2.71 tff(7768,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7769,plain,
% 2.53/2.71 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7768, 382, 58])).
% 2.53/2.71 tff(7770,plain,
% 2.53/2.71 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1711, 7769])).
% 2.53/2.71 tff(7771,plain,
% 2.53/2.71 (~b(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7004, 56, 7700, 6709, 7770])).
% 2.53/2.71 tff(7772,plain,
% 2.53/2.71 (r(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[122, 7771])).
% 2.53/2.71 tff(7773,plain,
% 2.53/2.71 (~b(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2744, 56, 6709, 382])).
% 2.53/2.71 tff(7774,plain,
% 2.53/2.71 (r(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[195, 7773])).
% 2.53/2.71 tff(7775,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3084, 7774, 7772, 58, 7700, 7770])).
% 2.53/2.71 tff(7776,plain,((~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7777,plain,
% 2.53/2.71 (~b(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7776, 382, 58])).
% 2.53/2.71 tff(7778,plain,
% 2.53/2.71 (r(s(s(z)), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1392, 7777])).
% 2.53/2.71 tff(7779,plain,
% 2.53/2.71 (~r(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1762, 7778, 7770, 58])).
% 2.53/2.71 tff(7780,plain,
% 2.53/2.71 (b(z, s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[122, 7779])).
% 2.53/2.71 tff(7781,plain,
% 2.53/2.71 (~r(s(z), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1861, 7778, 58, 7700, 7770])).
% 2.53/2.71 tff(7782,plain,
% 2.53/2.71 (b(s(z), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[698, 7781])).
% 2.53/2.71 tff(7783,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4894, 7782, 4610, 7780])).
% 2.53/2.71 tff(7784,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[496, 7783])).
% 2.53/2.71 tff(7785,plain,
% 2.53/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.53/2.71 inference(rewrite,[status(thm)],[])).
% 2.53/2.71 tff(7786,plain,
% 2.53/2.71 (((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(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(z, s(z))) | (~b(s(z), 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(s(s(s(s(z))))))))),
% 2.53/2.71 inference(rewrite,[status(thm)],[])).
% 2.53/2.71 tff(7787,plain,
% 2.53/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(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)))))))))),
% 2.53/2.71 inference(monotonicity,[status(thm)],[7786])).
% 2.53/2.71 tff(7788,plain,
% 2.53/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(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))))))))),
% 2.53/2.71 inference(transitivity,[status(thm)],[7787, 7785])).
% 2.53/2.71 tff(7789,plain,
% 2.53/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 2.53/2.71 inference(quant_inst,[status(thm)],[])).
% 2.53/2.71 tff(7790,plain,
% 2.53/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 2.53/2.71 tff(7791,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7790, 102, 92, 540, 66, 364, 254, 382])).
% 2.53/2.71 tff(7792,plain,((~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(z, 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(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7793,plain,
% 2.53/2.71 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7792, 7782, 4610, 7603, 382, 7780])).
% 2.53/2.71 tff(7794,plain,
% 2.53/2.71 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[279, 7793])).
% 2.53/2.71 tff(7795,plain,
% 2.53/2.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2100, 7794, 7770, 7784])).
% 2.53/2.71 tff(7796,plain,
% 2.53/2.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7795])).
% 2.53/2.71 tff(7797,plain,
% 2.53/2.71 (~b(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1833, 7782, 382, 7780])).
% 2.53/2.71 tff(7798,plain,
% 2.53/2.71 (r(s(s(z)), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[195, 7797])).
% 2.53/2.71 tff(7799,plain,
% 2.53/2.71 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[2713, 7794, 7778, 7708])).
% 2.53/2.71 tff(7800,plain,
% 2.53/2.71 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[538, 7799])).
% 2.53/2.71 tff(7801,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4667, 7800, 4610, 7782, 7796, 7780])).
% 2.53/2.71 tff(7802,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[409, 7801])).
% 2.53/2.71 tff(7803,plain,
% 2.53/2.71 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1441, 7802, 7794, 7798])).
% 2.53/2.71 tff(7804,plain,
% 2.53/2.71 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[165, 7803])).
% 2.53/2.71 tff(7805,plain,
% 2.53/2.71 (~r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[4462, 7802, 7796, 7800, 7780, 7794, 7708, 6709, 7798, 7784])).
% 2.53/2.71 tff(7806,plain,
% 2.53/2.71 (b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[3202, 7805])).
% 2.53/2.71 tff(7807,plain,
% 2.53/2.71 ($false),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[1190, 7806, 7804, 7603, 7796])).
% 2.53/2.71 tff(7808,plain,((~b(z, s(z))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.71 tff(7809,plain,
% 2.53/2.71 (~b(z, s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7808, 58])).
% 2.53/2.71 tff(7810,plain,
% 2.53/2.71 (r(z, s(z))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[88, 7809])).
% 2.53/2.71 tff(7811,plain,
% 2.53/2.71 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[262, 124, 56, 254])).
% 2.53/2.71 tff(7812,plain,
% 2.53/2.71 (r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[252, 7811])).
% 2.53/2.71 tff(7813,plain,
% 2.53/2.71 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[7036, 7812, 7700, 7810, 58])).
% 2.53/2.71 tff(7814,plain,
% 2.53/2.71 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.71 inference(unit_resolution,[status(thm)],[341, 7813])).
% 2.53/2.71 tff(7815,plain,
% 2.53/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7816,plain,
% 2.53/2.72 (((~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(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(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(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(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7817,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(z, s(s(s(s(s(s(z))))))))))),
% 2.53/2.72 inference(monotonicity,[status(thm)],[7816])).
% 2.53/2.72 tff(7818,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.72 inference(transitivity,[status(thm)],[7817, 7815])).
% 2.53/2.72 tff(7819,plain,
% 2.53/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)))),
% 2.53/2.72 inference(quant_inst,[status(thm)],[])).
% 2.53/2.72 tff(7820,plain,
% 2.53/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.53/2.72 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 2.53/2.72 tff(7821,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7820, 102, 56, 7603, 124, 254, 7814])).
% 2.53/2.72 tff(7822,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7823,plain,
% 2.53/2.72 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7822, 254, 56, 58])).
% 2.53/2.72 tff(7824,plain,
% 2.53/2.72 (r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[538, 7823])).
% 2.53/2.72 tff(7825,plain,
% 2.53/2.72 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[6263, 4, 4610, 7603])).
% 2.53/2.72 tff(7826,plain,
% 2.53/2.72 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[341, 7825])).
% 2.53/2.72 tff(7827,plain,
% 2.53/2.72 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[6363, 7826, 3, 58, 1])).
% 2.53/2.72 tff(7828,plain,
% 2.53/2.72 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7480, 7826, 7700, 58, 1, 3, 4])).
% 2.53/2.72 tff(7829,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[496, 7828, 7827])).
% 2.53/2.72 tff(7830,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7831,plain,
% 2.53/2.72 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7830, 7824, 58, 3])).
% 2.53/2.72 tff(7832,plain,
% 2.53/2.72 (r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[252, 7831])).
% 2.53/2.72 tff(7833,plain,
% 2.53/2.72 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7036, 7832, 7700, 7810, 58])).
% 2.53/2.72 tff(7834,plain,
% 2.53/2.72 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[341, 7833])).
% 2.53/2.72 tff(7835,plain,
% 2.53/2.72 (~r(s(s(z)), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[6822, 3, 58, 7700, 7810])).
% 2.53/2.72 tff(7836,plain,
% 2.53/2.72 (~b(s(s(z)), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7004, 3, 7700, 6709, 66])).
% 2.53/2.72 tff(7837,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[1392, 7836, 7835])).
% 2.53/2.72 tff(7838,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7839,plain,
% 2.53/2.72 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7838, 66, 58])).
% 2.53/2.72 tff(7840,plain,
% 2.53/2.72 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[1711, 7839])).
% 2.53/2.72 tff(7841,plain,
% 2.53/2.72 (~b(s(s(z)), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[719, 7840, 4610, 66])).
% 2.53/2.72 tff(7842,plain,
% 2.53/2.72 (r(s(s(z)), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[1392, 7841])).
% 2.53/2.72 tff(7843,plain,
% 2.53/2.72 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[4618, 7840, 4610, 66])).
% 2.53/2.72 tff(7844,plain,
% 2.53/2.72 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[232, 7843])).
% 2.53/2.72 tff(7845,plain,
% 2.53/2.72 (~r(s(s(z)), s(z))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[2293, 7844, 58, 7810, 7842])).
% 2.53/2.72 tff(7846,plain,
% 2.53/2.72 (b(s(s(z)), s(z))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[195, 7845])).
% 2.53/2.72 tff(7847,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[6462, 102, 540, 66, 364, 57, 254])).
% 2.53/2.72 tff(7848,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7849,plain,
% 2.53/2.72 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7848, 66, 4610, 7603, 7840])).
% 2.53/2.72 tff(7850,plain,
% 2.53/2.72 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[279, 7849])).
% 2.53/2.72 tff(7851,plain,
% 2.53/2.72 (~b(s(z), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[2822, 7846, 6709, 66])).
% 2.53/2.72 tff(7852,plain,
% 2.53/2.72 (r(s(z), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[698, 7851])).
% 2.53/2.72 tff(7853,plain,
% 2.53/2.72 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[901, 17, 780, 5, 62])).
% 2.53/2.72 tff(7854,plain,
% 2.53/2.72 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[2996, 102, 4, 5682, 6709])).
% 2.53/2.72 tff(7855,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[165, 7854, 7853])).
% 2.53/2.72 tff(7856,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(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(z))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7857,plain,
% 2.53/2.72 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7856, 4, 7852, 7850, 58, 7842, 7844])).
% 2.53/2.72 tff(7858,plain,
% 2.53/2.72 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[496, 7857])).
% 2.53/2.72 tff(7859,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[3673, 102, 66, 7858, 7846, 4, 6709])).
% 2.53/2.72 tff(7860,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7861,plain,
% 2.53/2.72 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7860, 66, 58])).
% 2.53/2.72 tff(7862,plain,
% 2.53/2.72 (r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[252, 7861])).
% 2.53/2.72 tff(7863,plain,
% 2.53/2.72 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7036, 7862, 7700, 7810, 58])).
% 2.53/2.72 tff(7864,plain,
% 2.53/2.72 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[341, 7863])).
% 2.53/2.72 tff(7865,plain,
% 2.53/2.72 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[1483, 7850, 58, 7842, 7844])).
% 2.53/2.72 tff(7866,plain,
% 2.53/2.72 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[538, 7865])).
% 2.53/2.72 tff(7867,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7868,plain,
% 2.53/2.72 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(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(z, s(s(s(s(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(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(s(z)))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7869,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.53/2.72 inference(monotonicity,[status(thm)],[7868])).
% 2.53/2.72 tff(7870,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.53/2.72 inference(transitivity,[status(thm)],[7869, 7867])).
% 2.53/2.72 tff(7871,plain,
% 2.53/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.53/2.72 inference(quant_inst,[status(thm)],[])).
% 2.53/2.72 tff(7872,plain,
% 2.53/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.53/2.72 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 2.53/2.72 tff(7873,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7872, 102, 4610, 66, 7603, 7840, 7866, 7864])).
% 2.53/2.72 tff(7874,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7875,plain,
% 2.53/2.72 (~b(z, s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7874, 58])).
% 2.53/2.72 tff(7876,plain,
% 2.53/2.72 (r(z, s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[122, 7875])).
% 2.53/2.72 tff(7877,plain,
% 2.53/2.72 (~r(s(s(z)), s(z))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[3084, 3, 58, 7700, 7876])).
% 2.53/2.72 tff(7878,plain,
% 2.53/2.72 (b(s(s(z)), s(z))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[195, 7877])).
% 2.53/2.72 tff(7879,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7880,plain,
% 2.53/2.72 (((~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(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7881,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z))))), s(s(s(s(s(s(z))))))))))),
% 2.53/2.72 inference(monotonicity,[status(thm)],[7880])).
% 2.53/2.72 tff(7882,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), 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(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.72 inference(transitivity,[status(thm)],[7881, 7879])).
% 2.53/2.72 tff(7883,plain,
% 2.53/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 2.53/2.72 inference(quant_inst,[status(thm)],[])).
% 2.53/2.72 tff(7884,plain,
% 2.53/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.53/2.72 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 2.53/2.72 tff(7885,plain,
% 2.53/2.72 ($false),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7884, 102, 4610, 56, 7878, 254, 7834, 6709])).
% 2.53/2.72 tff(7886,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.72 tff(7887,plain,
% 2.53/2.72 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[7886, 3, 58, 56])).
% 2.53/2.72 tff(7888,plain,
% 2.53/2.72 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[279, 7887])).
% 2.53/2.72 tff(7889,plain,
% 2.53/2.72 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[5551, 7888, 7876, 3, 58])).
% 2.53/2.72 tff(7890,plain,
% 2.53/2.72 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[341, 7889])).
% 2.53/2.72 tff(7891,plain,
% 2.53/2.72 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[6270, 102, 4610, 7603, 7890])).
% 2.53/2.72 tff(7892,plain,
% 2.53/2.72 (r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[538, 7891])).
% 2.53/2.72 tff(7893,plain,
% 2.53/2.72 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[1040, 7892, 7876, 7888])).
% 2.53/2.72 tff(7894,plain,
% 2.53/2.72 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[496, 7893])).
% 2.53/2.72 tff(7895,plain,
% 2.53/2.72 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[6958, 7892, 7810, 7888, 7876])).
% 2.53/2.72 tff(7896,plain,
% 2.53/2.72 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.72 inference(unit_resolution,[status(thm)],[409, 7895])).
% 2.53/2.72 tff(7897,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7898,plain,
% 2.53/2.72 (((~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(z)), 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(z))) | (~b(s(z), z)) | (~b(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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.72 inference(rewrite,[status(thm)],[])).
% 2.53/2.72 tff(7899,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.53/2.72 inference(monotonicity,[status(thm)],[7898])).
% 2.53/2.72 tff(7900,plain,
% 2.53/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(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(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.73 inference(transitivity,[status(thm)],[7899, 7897])).
% 2.53/2.73 tff(7901,plain,
% 2.53/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.53/2.73 inference(quant_inst,[status(thm)],[])).
% 2.53/2.73 tff(7902,plain,
% 2.53/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 2.53/2.73 tff(7903,plain,
% 2.53/2.73 ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7902, 102, 4610, 7878, 7603, 6709])).
% 2.53/2.73 tff(7904,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7903, 7896, 7894])).
% 2.53/2.73 tff(7905,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7906,plain,
% 2.53/2.73 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7905, 56, 58])).
% 2.53/2.73 tff(7907,plain,
% 2.53/2.73 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[1711, 7906])).
% 2.53/2.73 tff(7908,plain,
% 2.53/2.73 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[6136, 7907, 4610, 7603, 56])).
% 2.53/2.73 tff(7909,plain,
% 2.53/2.73 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[496, 7908])).
% 2.53/2.73 tff(7910,plain,
% 2.53/2.73 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[6270, 102, 540, 364, 60])).
% 2.53/2.73 tff(7911,plain,
% 2.53/2.73 (r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[538, 7910])).
% 2.53/2.73 tff(7912,plain,
% 2.53/2.73 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[1040, 7911, 2, 5])).
% 2.53/2.73 tff(7913,plain,
% 2.53/2.73 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[279, 7912])).
% 2.53/2.73 tff(7914,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[735, 102, 364, 57, 7913, 60])).
% 2.53/2.73 tff(7915,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7916,plain,
% 2.53/2.73 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7915, 7907, 7603, 7876, 7909, 4610])).
% 2.53/2.73 tff(7917,plain,
% 2.53/2.73 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[341, 7916])).
% 2.53/2.73 tff(7918,plain,
% 2.53/2.73 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7036, 7917, 7700, 7810, 58])).
% 2.53/2.73 tff(7919,plain,
% 2.53/2.73 (b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[252, 7918])).
% 2.53/2.73 tff(7920,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[1152, 102, 4610, 56, 7919, 7603, 7907])).
% 2.53/2.73 tff(7921,plain,((~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7922,plain,
% 2.53/2.73 (~b(s(s(z)), z)),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7921, 58])).
% 2.53/2.73 tff(7923,plain,
% 2.53/2.73 (r(s(s(z)), z)),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[1392, 7922])).
% 2.53/2.73 tff(7924,plain,
% 2.53/2.73 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[6822, 7923, 58, 7700, 7810])).
% 2.53/2.73 tff(7925,plain,
% 2.53/2.73 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[1711, 7924])).
% 2.53/2.73 tff(7926,plain,
% 2.53/2.73 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7915, 60, 7603, 7876, 7925, 4610])).
% 2.53/2.73 tff(7927,plain,
% 2.53/2.73 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[496, 7926])).
% 2.53/2.73 tff(7928,plain,
% 2.53/2.73 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[1346, 7927, 7603, 7925])).
% 2.53/2.73 tff(7929,plain,
% 2.53/2.73 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[232, 7928])).
% 2.53/2.73 tff(7930,plain,
% 2.53/2.73 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[3926, 7927, 7603, 7925])).
% 2.53/2.73 tff(7931,plain,
% 2.53/2.73 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[279, 7930])).
% 2.53/2.73 tff(7932,plain,
% 2.53/2.73 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[1483, 7931, 58, 7923, 7929])).
% 2.53/2.73 tff(7933,plain,
% 2.53/2.73 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[538, 7932])).
% 2.53/2.73 tff(7934,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[6126, 102, 4610, 7603, 7933, 60])).
% 2.53/2.73 tff(7935,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7936,plain,
% 2.53/2.73 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7935, 58])).
% 2.53/2.73 tff(7937,plain,
% 2.53/2.73 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[341, 7936])).
% 2.53/2.73 tff(7938,plain,
% 2.53/2.73 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7036, 7937, 7700, 7810, 58])).
% 2.53/2.73 tff(7939,plain,
% 2.53/2.73 (b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[252, 7938])).
% 2.53/2.73 tff(7940,plain,
% 2.53/2.73 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[2996, 102, 4, 124, 363])).
% 2.53/2.73 tff(7941,plain,
% 2.53/2.73 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[165, 7940])).
% 2.53/2.73 tff(7942,plain,
% 2.53/2.73 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[4576, 124, 363, 4])).
% 2.53/2.73 tff(7943,plain,
% 2.53/2.73 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[409, 7942])).
% 2.53/2.73 tff(7944,plain,
% 2.53/2.73 (((~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))))),
% 2.53/2.73 inference(rewrite,[status(thm)],[])).
% 2.53/2.73 tff(7945,plain,
% 2.53/2.73 (((~![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(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)))))),
% 2.53/2.73 inference(monotonicity,[status(thm)],[7944])).
% 2.53/2.73 tff(7946,plain,
% 2.53/2.73 (((~![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(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))))),
% 2.53/2.73 inference(transitivity,[status(thm)],[7945, 2428])).
% 2.53/2.73 tff(7947,plain,
% 2.53/2.73 ((~![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(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)))))))))),
% 2.53/2.73 inference(quant_inst,[status(thm)],[])).
% 2.53/2.73 tff(7948,plain,
% 2.53/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.53/2.73 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 2.53/2.73 tff(7949,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7948, 17, 67, 7943, 305, 7941])).
% 2.53/2.73 tff(7950,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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7951,plain,
% 2.53/2.73 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7950, 7939, 7700, 7937, 6709])).
% 2.53/2.73 tff(7952,plain,
% 2.53/2.73 (r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[538, 7951])).
% 2.53/2.73 tff(7953,plain,
% 2.53/2.73 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[6208, 7952, 7603, 7876, 7939, 58])).
% 2.53/2.73 tff(7954,plain,
% 2.53/2.73 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[279, 7953])).
% 2.53/2.73 tff(7955,plain,
% 2.53/2.73 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[3926, 7954, 7603, 7925])).
% 2.53/2.73 tff(7956,plain,
% 2.53/2.73 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[496, 7955])).
% 2.53/2.73 tff(7957,plain,
% 2.53/2.73 (~r(s(s(z)), s(z))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[2466, 7956, 7810, 7876, 7952])).
% 2.53/2.73 tff(7958,plain,
% 2.53/2.73 (b(s(s(z)), s(z))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[195, 7957])).
% 2.53/2.73 tff(7959,plain,
% 2.53/2.73 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[6874, 7956, 7810, 7876, 7952])).
% 2.53/2.73 tff(7960,plain,
% 2.53/2.73 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[165, 7959])).
% 2.53/2.73 tff(7961,plain,
% 2.53/2.73 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[3543, 7960, 7958, 7954])).
% 2.53/2.73 tff(7962,plain,
% 2.53/2.73 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[409, 7961])).
% 2.53/2.73 tff(7963,plain,
% 2.53/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.53/2.73 inference(rewrite,[status(thm)],[])).
% 2.53/2.73 tff(7964,plain,
% 2.53/2.73 (((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), 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(z), z)) | (~b(s(z), 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(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.53/2.73 inference(rewrite,[status(thm)],[])).
% 2.53/2.73 tff(7965,plain,
% 2.53/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.53/2.73 inference(monotonicity,[status(thm)],[7964])).
% 2.53/2.73 tff(7966,plain,
% 2.53/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.53/2.73 inference(transitivity,[status(thm)],[7965, 7963])).
% 2.53/2.73 tff(7967,plain,
% 2.53/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.53/2.73 inference(quant_inst,[status(thm)],[])).
% 2.53/2.73 tff(7968,plain,
% 2.53/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.53/2.73 inference(modus_ponens,[status(thm)],[7967, 7966])).
% 2.53/2.73 tff(7969,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7968, 102, 92, 540, 4, 57, 363, 125])).
% 2.53/2.73 tff(7970,plain,((~b(s(z), 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(s(z))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7971,plain,
% 2.53/2.73 (~b(s(z), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7970, 4610, 7939, 7925, 6709, 7960])).
% 2.53/2.73 tff(7972,plain,
% 2.53/2.73 (r(s(z), s(s(z)))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[698, 7971])).
% 2.53/2.73 tff(7973,plain,
% 2.53/2.73 (((~![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(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(z)))))),
% 2.53/2.73 inference(rewrite,[status(thm)],[])).
% 2.53/2.73 tff(7974,plain,
% 2.53/2.73 (((~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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(z)))))),
% 2.53/2.73 inference(rewrite,[status(thm)],[])).
% 2.53/2.73 tff(7975,plain,
% 2.53/2.73 (((~![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(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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(z))))))),
% 2.53/2.73 inference(monotonicity,[status(thm)],[7974])).
% 2.53/2.73 tff(7976,plain,
% 2.53/2.73 (((~![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(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(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(z)))))),
% 2.53/2.73 inference(transitivity,[status(thm)],[7975, 7973])).
% 2.53/2.73 tff(7977,plain,
% 2.53/2.73 ((~![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(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)))))))))),
% 2.53/2.73 inference(quant_inst,[status(thm)],[])).
% 2.53/2.73 tff(7978,plain,
% 2.53/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(z))))),
% 2.53/2.73 inference(modus_ponens,[status(thm)],[7977, 7976])).
% 2.53/2.73 tff(7979,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7978, 17, 7972, 7962, 7810, 7876, 7952])).
% 2.53/2.73 tff(7980,plain,(~r(s(s(s(s(s(z))))), z)), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7981,plain,
% 2.53/2.73 (b(s(s(s(s(s(z))))), z)),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[4787, 7980])).
% 2.53/2.73 tff(7982,plain,
% 2.53/2.73 ($false),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[640, 17, 1, 90, 305, 64])).
% 2.53/2.73 tff(7983,plain,((~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(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.73 tff(7984,plain,
% 2.53/2.73 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[7983, 64, 90, 305])).
% 2.53/2.73 tff(7985,plain,
% 2.53/2.73 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.73 inference(unit_resolution,[status(thm)],[538, 7984])).
% 2.53/2.73 tff(7986,plain,
% 2.53/2.73 (((~![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(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(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)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.53/2.73 inference(rewrite,[status(thm)],[])).
% 2.53/2.73 tff(7987,plain,
% 2.53/2.73 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(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(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(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.53/2.73 inference(rewrite,[status(thm)],[])).
% 2.53/2.73 tff(7988,plain,
% 2.53/2.73 (((~![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(s(z)))) | (~r(s(s(s(s(s(s(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(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)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.53/2.73 inference(monotonicity,[status(thm)],[7987])).
% 2.53/2.73 tff(7989,plain,
% 2.53/2.73 (((~![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(s(z)))) | (~r(s(s(s(s(s(s(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(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)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.53/2.73 inference(transitivity,[status(thm)],[7988, 7986])).
% 2.53/2.73 tff(7990,plain,
% 2.53/2.73 ((~![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(s(z)))) | (~r(s(s(s(s(s(s(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(s(s(s(s(s(s(z)))))), z)))),
% 2.53/2.73 inference(quant_inst,[status(thm)],[])).
% 2.53/2.73 tff(7991,plain,
% 2.53/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.53/2.74 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 2.53/2.74 tff(7992,plain,
% 2.53/2.74 ($false),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[7991, 17, 5, 3, 63, 90, 64])).
% 2.53/2.74 tff(7993,plain,((~r(z, s(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(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.74 tff(7994,plain,
% 2.53/2.74 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[7993, 64, 90, 63, 3])).
% 2.53/2.74 tff(7995,plain,
% 2.53/2.74 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[496, 7994])).
% 2.53/2.74 tff(7996,plain,
% 2.53/2.74 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[313, 64, 305, 62])).
% 2.53/2.74 tff(7997,plain,
% 2.53/2.74 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[232, 7996])).
% 2.53/2.74 tff(7998,plain,
% 2.53/2.74 (((~![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), 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(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(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(7999,plain,
% 2.53/2.74 (((~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(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(8000,plain,
% 2.53/2.74 (((~![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(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(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.53/2.74 inference(monotonicity,[status(thm)],[7999])).
% 2.53/2.74 tff(8001,plain,
% 2.53/2.74 (((~![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(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(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))))),
% 2.53/2.74 inference(transitivity,[status(thm)],[8000, 7998])).
% 2.53/2.74 tff(8002,plain,
% 2.53/2.74 ((~![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(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))))),
% 2.53/2.74 inference(quant_inst,[status(thm)],[])).
% 2.53/2.74 tff(8003,plain,
% 2.53/2.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.53/2.74 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 2.53/2.74 tff(8004,plain,
% 2.53/2.74 ($false),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8003, 17, 393, 59, 63, 90, 64])).
% 2.53/2.74 tff(8005,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.74 tff(8006,plain,
% 2.53/2.74 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8005, 64, 63, 90, 59])).
% 2.53/2.74 tff(8007,plain,
% 2.53/2.74 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[409, 8006])).
% 2.53/2.74 tff(8008,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(8009,plain,
% 2.53/2.74 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), 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(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(8010,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.53/2.74 inference(monotonicity,[status(thm)],[8009])).
% 2.53/2.74 tff(8011,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.74 inference(transitivity,[status(thm)],[8010, 8008])).
% 2.53/2.74 tff(8012,plain,
% 2.53/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.74 inference(quant_inst,[status(thm)],[])).
% 2.53/2.74 tff(8013,plain,
% 2.53/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))),
% 2.53/2.74 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 2.53/2.74 tff(8014,plain,
% 2.53/2.74 ($false),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8013, 102, 92, 4759, 56, 343, 382])).
% 2.53/2.74 tff(8015,plain,((~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.74 tff(8016,plain,
% 2.53/2.74 ((~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z)))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8015, 7981])).
% 2.53/2.74 tff(8017,plain,
% 2.53/2.74 (~b(s(z), s(s(z)))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8016, 382, 56, 343])).
% 2.53/2.74 tff(8018,plain,
% 2.53/2.74 (r(s(z), s(s(z)))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[698, 8017])).
% 2.53/2.74 tff(8019,plain,
% 2.53/2.74 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[433, 382, 425, 124])).
% 2.53/2.74 tff(8020,plain,
% 2.53/2.74 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[165, 8019])).
% 2.53/2.74 tff(8021,plain,
% 2.53/2.74 ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[5932, 17, 59, 63, 62])).
% 2.53/2.74 tff(8022,plain,
% 2.53/2.74 ($false),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8021, 8020, 8018])).
% 2.53/2.74 tff(8023,plain,((~b(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(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(z)), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.74 tff(8024,plain,
% 2.53/2.74 (~b(z, s(z))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8023, 56, 63, 62, 425, 124, 59, 343])).
% 2.53/2.74 tff(8025,plain,
% 2.53/2.74 (r(z, s(z))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[88, 8024])).
% 2.53/2.74 tff(8026,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(8027,plain,
% 2.53/2.74 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(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(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(8028,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(z))) | (~b(z, s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.53/2.74 inference(monotonicity,[status(thm)],[8027])).
% 2.53/2.74 tff(8029,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(z))) | (~b(z, s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.74 inference(transitivity,[status(thm)],[8028, 8026])).
% 2.53/2.74 tff(8030,plain,
% 2.53/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(z))) | (~b(z, s(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))))))))),
% 2.53/2.74 inference(quant_inst,[status(thm)],[])).
% 2.53/2.74 tff(8031,plain,
% 2.53/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.53/2.74 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 2.53/2.74 tff(8032,plain,
% 2.53/2.74 ($false),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8031, 102, 4759, 425, 56, 168, 124, 197])).
% 2.53/2.74 tff(8033,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.74 tff(8034,plain,
% 2.53/2.74 ((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8033, 7981])).
% 2.53/2.74 tff(8035,plain,
% 2.53/2.74 (~b(s(s(z)), s(z))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8034, 56, 425, 124, 197])).
% 2.53/2.74 tff(8036,plain,
% 2.53/2.74 (r(s(s(z)), s(z))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[195, 8035])).
% 2.53/2.74 tff(8037,plain,
% 2.53/2.74 (~r(z, s(s(z)))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[2960, 17, 8036, 3, 8025, 90])).
% 2.53/2.74 tff(8038,plain,
% 2.53/2.74 (b(z, s(s(z)))),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[122, 8037])).
% 2.53/2.74 tff(8039,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(8040,plain,
% 2.53/2.74 (((~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(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.74 inference(rewrite,[status(thm)],[])).
% 2.53/2.74 tff(8041,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.53/2.74 inference(monotonicity,[status(thm)],[8040])).
% 2.53/2.74 tff(8042,plain,
% 2.53/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.74 inference(transitivity,[status(thm)],[8041, 8039])).
% 2.53/2.74 tff(8043,plain,
% 2.53/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.53/2.74 inference(quant_inst,[status(thm)],[])).
% 2.53/2.74 tff(8044,plain,
% 2.53/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 2.53/2.74 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 2.53/2.74 tff(8045,plain,
% 2.53/2.74 ($false),
% 2.53/2.74 inference(unit_resolution,[status(thm)],[8044, 102, 7981, 8038, 56, 197])).
% 2.53/2.74 tff(8046,plain,((~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(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)))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.75 tff(8047,plain,
% 2.53/2.75 (~b(s(s(z)), z)),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[8046, 7997, 3, 90, 63, 62, 8007, 124, 59, 343])).
% 2.53/2.75 tff(8048,plain,
% 2.53/2.75 (r(s(s(z)), z)),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[1392, 8047])).
% 2.53/2.75 tff(8049,plain,
% 2.53/2.75 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[2100, 62, 305, 3])).
% 2.53/2.75 tff(8050,plain,
% 2.53/2.75 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[496, 8049])).
% 2.53/2.75 tff(8051,plain,
% 2.53/2.75 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[1930, 68, 59, 63])).
% 2.53/2.75 tff(8052,plain,
% 2.53/2.75 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[409, 8051])).
% 2.53/2.75 tff(8053,plain,
% 2.53/2.75 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[5363, 8052, 498, 1405])).
% 2.53/2.75 tff(8054,plain,
% 2.53/2.75 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[165, 8053])).
% 2.53/2.75 tff(8055,plain,
% 2.53/2.75 (~b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[1748, 1405, 343, 197])).
% 2.53/2.75 tff(8056,plain,
% 2.53/2.75 (r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[3202, 8055])).
% 2.53/2.75 tff(8057,plain,
% 2.53/2.75 ($false),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[3487, 8056, 8054, 305, 64])).
% 2.53/2.75 tff(8058,plain,((~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(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(s(z)))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.75 tff(8059,plain,
% 2.53/2.75 (~r(z, s(z))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[8058, 8048, 64, 343, 7997, 8050, 59, 305, 63])).
% 2.53/2.75 tff(8060,plain,
% 2.53/2.75 (b(z, s(z))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[88, 8059])).
% 2.53/2.75 tff(8061,plain,
% 2.53/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8062,plain,
% 2.53/2.75 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(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(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8063,plain,
% 2.53/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z, s(s(s(s(s(s(z))))))))))),
% 2.53/2.75 inference(monotonicity,[status(thm)],[8062])).
% 2.53/2.75 tff(8064,plain,
% 2.53/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(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(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.75 inference(transitivity,[status(thm)],[8063, 8061])).
% 2.53/2.75 tff(8065,plain,
% 2.53/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(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)))))))))),
% 2.53/2.75 inference(quant_inst,[status(thm)],[])).
% 2.53/2.75 tff(8066,plain,
% 2.53/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.53/2.75 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 2.53/2.75 tff(8067,plain,
% 2.53/2.75 ($false),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[8066, 102, 66, 498, 343, 124, 197, 382])).
% 2.53/2.75 tff(8068,plain,((~b(z, s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.75 tff(8069,plain,
% 2.53/2.75 (~b(z, s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[8068, 8060, 8050, 343, 124, 7997])).
% 2.53/2.75 tff(8070,plain,
% 2.53/2.75 (r(z, s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[122, 8069])).
% 2.53/2.75 tff(8071,plain,
% 2.53/2.75 (~r(s(z), s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[1419, 8070, 59, 8048])).
% 2.53/2.75 tff(8072,plain,
% 2.53/2.75 (b(s(z), s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[698, 8071])).
% 2.53/2.75 tff(8073,plain,
% 2.53/2.75 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[433, 8060, 8007, 124])).
% 2.53/2.75 tff(8074,plain,
% 2.53/2.75 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[165, 8073])).
% 2.53/2.75 tff(8075,plain,
% 2.53/2.75 (~r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[3487, 8074, 305, 64])).
% 2.53/2.75 tff(8076,plain,
% 2.53/2.75 (b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[3202, 8075])).
% 2.53/2.75 tff(8077,plain,
% 2.53/2.75 ($false),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[1738, 8076, 8072, 343, 7997])).
% 2.53/2.75 tff(8078,plain,((~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(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.75 tff(8079,plain,
% 2.53/2.75 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[8078, 124, 305, 59, 343, 63, 3, 90, 62])).
% 2.53/2.75 tff(8080,plain,
% 2.53/2.75 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[361, 8079])).
% 2.53/2.75 tff(8081,plain,
% 2.53/2.75 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[3317, 65, 305, 63, 62])).
% 2.53/2.75 tff(8082,plain,
% 2.53/2.75 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[232, 8081])).
% 2.53/2.75 tff(8083,plain,
% 2.53/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8084,plain,
% 2.53/2.75 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(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(s(s(s(s(z)))))), 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(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8085,plain,
% 2.53/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.53/2.75 inference(monotonicity,[status(thm)],[8084])).
% 2.53/2.75 tff(8086,plain,
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% 2.53/2.75 inference(transitivity,[status(thm)],[8085, 8083])).
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% 2.53/2.75 tff(8088,plain,
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% 2.53/2.75 inference(modus_ponens,[status(thm)],[8087, 8086])).
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% 2.53/2.75 tff(8091,plain,
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% 2.53/2.75 tff(8092,plain,
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% 2.53/2.75 tff(8094,plain,
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% 2.53/2.75 tff(8095,plain,
% 2.53/2.75 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[8021, 8092])).
% 2.53/2.75 tff(8096,plain,
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% 2.53/2.75 inference(unit_resolution,[status(thm)],[165, 8095])).
% 2.53/2.75 tff(8097,plain,
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% 2.53/2.75 inference(unit_resolution,[status(thm)],[798, 8096, 8094, 343, 364])).
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% 2.53/2.75 tff(8099,plain,
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% 2.53/2.75 tff(8100,plain,
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% 2.53/2.75 inference(unit_resolution,[status(thm)],[1392, 8099])).
% 2.53/2.75 tff(8101,plain,
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% 2.53/2.75 tff(8102,plain,
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% 2.53/2.75 tff(8103,plain,
% 2.53/2.75 (~r(s(s(z)), s(s(s(s(s(z))))))),
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% 2.53/2.75 tff(8104,plain,
% 2.53/2.75 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[232, 8103])).
% 2.53/2.75 tff(8105,plain,
% 2.53/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(s(z)))))))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8106,plain,
% 2.53/2.75 (((~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(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(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(s(z)))))))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8107,plain,
% 2.53/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(s(z))))))))))),
% 2.53/2.75 inference(monotonicity,[status(thm)],[8106])).
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% 2.53/2.75 inference(transitivity,[status(thm)],[8107, 8105])).
% 2.53/2.75 tff(8109,plain,
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% 2.53/2.75 tff(8110,plain,
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% 2.53/2.75 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 2.53/2.75 tff(8111,plain,
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% 2.53/2.75 inference(unit_resolution,[status(thm)],[8110, 102, 7981, 8100, 8080, 124, 8104])).
% 2.53/2.75 tff(8112,plain,((~b(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(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(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(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.75 tff(8113,plain,
% 2.53/2.75 (~b(z, s(s(s(s(s(s(z)))))))),
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% 2.53/2.75 tff(8114,plain,
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% 2.53/2.75 tff(8115,plain,
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% 2.53/2.75 tff(8116,plain,
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% 2.53/2.75 tff(8117,plain,
% 2.53/2.75 (((~![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))))), 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(z)))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8118,plain,
% 2.53/2.75 (((~r(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(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(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8119,plain,
% 2.53/2.75 (((~![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(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(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(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), 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(z))))))),
% 2.53/2.75 inference(monotonicity,[status(thm)],[8118])).
% 2.53/2.75 tff(8120,plain,
% 2.53/2.75 (((~![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(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(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(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), 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(z)))))),
% 2.53/2.75 inference(transitivity,[status(thm)],[8119, 8117])).
% 2.53/2.75 tff(8121,plain,
% 2.53/2.75 ((~![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(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(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))))),
% 2.53/2.75 inference(quant_inst,[status(thm)],[])).
% 2.53/2.75 tff(8122,plain,
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% 2.53/2.75 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 2.53/2.75 tff(8123,plain,
% 2.53/2.75 (~r(z, s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[8122, 17, 3, 8114, 62, 90])).
% 2.53/2.75 tff(8124,plain,
% 2.53/2.75 (b(z, s(s(z)))),
% 2.53/2.75 inference(unit_resolution,[status(thm)],[122, 8123])).
% 2.53/2.75 tff(8125,plain,
% 2.53/2.75 (((~b(s(s(z)), z)) | (~b(s(s(z)), z)) | (~b(z, 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(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.75 inference(rewrite,[status(thm)],[])).
% 2.53/2.75 tff(8126,plain,
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% 2.53/2.76 inference(monotonicity,[status(thm)],[8125])).
% 2.53/2.76 tff(8127,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.76 inference(transitivity,[status(thm)],[8126, 8039])).
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% 2.53/2.76 inference(quant_inst,[status(thm)],[])).
% 2.53/2.76 tff(8129,plain,
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% 2.53/2.76 inference(modus_ponens,[status(thm)],[8128, 8127])).
% 2.53/2.76 tff(8130,plain,
% 2.53/2.76 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8129, 102, 7981, 8124, 8116])).
% 2.53/2.76 tff(8131,plain,
% 2.53/2.76 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[232, 8130])).
% 2.53/2.76 tff(8132,plain,
% 2.53/2.76 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[1796, 8114, 59, 63])).
% 2.53/2.76 tff(8133,plain,
% 2.53/2.76 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[165, 8132])).
% 2.53/2.76 tff(8134,plain,
% 2.53/2.76 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[313, 8131, 305, 62])).
% 2.53/2.76 tff(8135,plain,
% 2.53/2.76 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[361, 8134])).
% 2.53/2.76 tff(8136,plain,
% 2.53/2.76 (~b(s(z), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[798, 8135, 343, 8133])).
% 2.53/2.76 tff(8137,plain,
% 2.53/2.76 (r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[3202, 8136])).
% 2.53/2.76 tff(8138,plain,
% 2.53/2.76 (~r(s(z), s(s(z)))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[3938, 8137, 3, 8131])).
% 2.53/2.76 tff(8139,plain,
% 2.53/2.76 (b(s(z), s(s(z)))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[698, 8138])).
% 2.53/2.76 tff(8140,plain,
% 2.53/2.76 (~r(z, s(z))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[4219, 8137, 90, 305, 8114])).
% 2.53/2.76 tff(8141,plain,
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% 2.53/2.76 inference(unit_resolution,[status(thm)],[88, 8140])).
% 2.53/2.76 tff(8142,plain,
% 2.53/2.76 ($false),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8016, 8141, 8139, 8116, 343])).
% 2.53/2.76 tff(8143,plain,((~r(s(s(z)), s(s(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))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.76 tff(8144,plain,
% 2.53/2.76 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8143, 3, 90, 305, 343, 59, 63])).
% 2.53/2.76 tff(8145,plain,
% 2.53/2.76 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[279, 8144])).
% 2.53/2.76 tff(8146,plain,
% 2.53/2.76 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[7983, 1, 90, 305])).
% 2.53/2.76 tff(8147,plain,
% 2.53/2.76 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[361, 8146])).
% 2.53/2.76 tff(8148,plain,
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% 2.53/2.76 inference(unit_resolution,[status(thm)],[798, 8147, 343, 2147])).
% 2.53/2.76 tff(8149,plain,
% 2.53/2.76 (r(s(z), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[3202, 8148])).
% 2.53/2.76 tff(8150,plain,
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% 2.53/2.76 inference(unit_resolution,[status(thm)],[4219, 8149, 90, 305, 1])).
% 2.53/2.76 tff(8151,plain,
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% 2.53/2.76 inference(unit_resolution,[status(thm)],[88, 8150])).
% 2.53/2.76 tff(8152,plain,
% 2.53/2.76 (~r(s(z), s(s(z)))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[4910, 59, 3, 61, 65])).
% 2.53/2.76 tff(8153,plain,
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% 2.53/2.76 inference(unit_resolution,[status(thm)],[698, 8152])).
% 2.53/2.76 tff(8154,plain,
% 2.53/2.76 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[1910, 64, 3, 5])).
% 2.53/2.76 tff(8155,plain,
% 2.53/2.76 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[232, 8154])).
% 2.53/2.76 tff(8156,plain,
% 2.53/2.76 (~b(z, s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[4838, 8155, 4759, 66])).
% 2.53/2.76 tff(8157,plain,
% 2.53/2.76 (r(z, s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[557, 8156])).
% 2.53/2.76 tff(8158,plain,
% 2.53/2.76 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[7993, 8157, 3, 5, 64])).
% 2.53/2.76 tff(8159,plain,
% 2.53/2.76 (b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[252, 8158])).
% 2.53/2.76 tff(8160,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8161,plain,
% 2.53/2.76 (((~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(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)))))), 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)))))))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8162,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.53/2.76 inference(monotonicity,[status(thm)],[8161])).
% 2.53/2.76 tff(8163,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.53/2.76 inference(transitivity,[status(thm)],[8162, 8160])).
% 2.53/2.76 tff(8164,plain,
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% 2.53/2.76 inference(quant_inst,[status(thm)],[])).
% 2.53/2.76 tff(8165,plain,
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% 2.53/2.76 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 2.53/2.76 tff(8166,plain,
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% 2.53/2.76 inference(unit_resolution,[status(thm)],[8165, 102, 4759, 4, 124, 60])).
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% 2.53/2.76 tff(8168,plain,
% 2.53/2.76 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 2.53/2.76 tff(8169,plain,
% 2.53/2.76 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[341, 8168])).
% 2.53/2.76 tff(8170,plain,
% 2.53/2.76 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[2034, 124, 4, 66])).
% 2.53/2.76 tff(8171,plain,
% 2.53/2.76 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
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% 2.53/2.76 tff(8172,plain,
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% 2.53/2.76 tff(8173,plain,((~b(z, s(s(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(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.76 tff(8174,plain,
% 2.53/2.76 (~b(z, s(s(s(s(s(s(z)))))))),
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% 2.53/2.76 tff(8175,plain,
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% 2.53/2.76 tff(8176,plain,
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% 2.53/2.76 tff(8177,plain,
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% 2.53/2.76 tff(8178,plain,
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% 2.53/2.76 tff(8179,plain,
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% 2.53/2.76 inference(unit_resolution,[status(thm)],[88, 8178])).
% 2.53/2.76 tff(8180,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8181,plain,
% 2.53/2.76 (((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(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(z, 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(z))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8182,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)), s(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(X0, 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(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.53/2.76 inference(monotonicity,[status(thm)],[8181])).
% 2.53/2.76 tff(8183,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)), s(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(X0, 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(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.53/2.76 inference(transitivity,[status(thm)],[8182, 8180])).
% 2.53/2.76 tff(8184,plain,
% 2.53/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 2.53/2.76 inference(quant_inst,[status(thm)],[])).
% 2.53/2.76 tff(8185,plain,
% 2.53/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.53/2.76 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 2.53/2.76 tff(8186,plain,
% 2.53/2.76 ($false),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8185, 102, 92, 425, 66, 254, 382])).
% 2.53/2.76 tff(8187,plain,((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.76 tff(8188,plain,
% 2.53/2.76 (~b(s(z), s(s(z)))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8187, 2217, 66, 425, 8179])).
% 2.53/2.76 tff(8189,plain,
% 2.53/2.76 (r(s(z), s(s(z)))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[698, 8188])).
% 2.53/2.76 tff(8190,plain,
% 2.53/2.76 (~r(s(z), z)),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[4910, 8189, 3, 61, 65])).
% 2.53/2.76 tff(8191,plain,
% 2.53/2.76 (b(s(z), z)),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[380, 8190])).
% 2.53/2.76 tff(8192,plain,
% 2.53/2.76 ($false),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[2514, 102, 425, 4, 8179, 8191])).
% 2.53/2.76 tff(8193,plain,((~r(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(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.76 tff(8194,plain,
% 2.53/2.76 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8193, 8177, 8159, 3, 61, 65, 66, 5, 8175, 8157])).
% 2.53/2.76 tff(8195,plain,
% 2.53/2.76 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[341, 8194])).
% 2.53/2.76 tff(8196,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), z)) | (~b(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(X0, 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(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8197,plain,
% 2.53/2.76 (((~b(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(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(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8198,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, 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(X0, 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(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.53/2.76 inference(monotonicity,[status(thm)],[8197])).
% 2.53/2.76 tff(8199,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, 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(X0, 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(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.76 inference(transitivity,[status(thm)],[8198, 8196])).
% 2.53/2.76 tff(8200,plain,
% 2.53/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, 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)))))))))),
% 2.53/2.76 inference(quant_inst,[status(thm)],[])).
% 2.53/2.76 tff(8201,plain,
% 2.53/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.53/2.76 inference(modus_ponens,[status(thm)],[8200, 8199])).
% 2.53/2.76 tff(8202,plain,
% 2.53/2.76 ($false),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8201, 102, 4759, 66, 4, 254, 60])).
% 2.53/2.76 tff(8203,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, 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,[]))).
% 2.53/2.76 tff(8204,plain,
% 2.53/2.76 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[8203, 60, 66, 4, 4759])).
% 2.53/2.76 tff(8205,plain,
% 2.53/2.76 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[279, 8204])).
% 2.53/2.76 tff(8206,plain,
% 2.53/2.76 (~b(z, s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[4838, 197, 4759, 66])).
% 2.53/2.76 tff(8207,plain,
% 2.53/2.76 (r(z, s(s(s(s(s(z))))))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[557, 8206])).
% 2.53/2.76 tff(8208,plain,
% 2.53/2.76 (~r(s(s(s(s(s(z))))), s(z))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[3247, 68, 8207, 61])).
% 2.53/2.76 tff(8209,plain,
% 2.53/2.76 (b(s(s(s(s(s(z))))), s(z))),
% 2.53/2.76 inference(unit_resolution,[status(thm)],[303, 8208])).
% 2.53/2.76 tff(8210,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z))))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8211,plain,
% 2.53/2.76 (((~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(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(z, s(s(z)))) | (~b(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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.76 inference(rewrite,[status(thm)],[])).
% 2.53/2.76 tff(8212,plain,
% 2.53/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z))))), s(s(s(s(s(s(z))))))))))),
% 2.53/2.77 inference(monotonicity,[status(thm)],[8211])).
% 2.53/2.77 tff(8213,plain,
% 2.53/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z))))), s(s(s(s(s(s(z)))))))))),
% 2.53/2.77 inference(transitivity,[status(thm)],[8212, 8210])).
% 2.53/2.77 tff(8214,plain,
% 2.53/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.53/2.77 inference(quant_inst,[status(thm)],[])).
% 2.53/2.77 tff(8215,plain,
% 2.53/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.53/2.77 inference(modus_ponens,[status(thm)],[8214, 8213])).
% 2.53/2.77 tff(8216,plain,
% 2.53/2.77 ($false),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8215, 102, 4759, 66, 168, 343, 4, 60])).
% 2.53/2.77 tff(8217,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(z)))) | (~b(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))))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.77 tff(8218,plain,
% 2.53/2.77 (~b(s(s(z)), s(z))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8217, 8209, 66, 4759, 4, 60])).
% 2.53/2.77 tff(8219,plain,
% 2.53/2.77 (r(s(s(z)), s(z))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[195, 8218])).
% 2.53/2.77 tff(8220,plain,
% 2.53/2.77 (~r(s(z), z)),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[1403, 8219, 68, 65])).
% 2.53/2.77 tff(8221,plain,
% 2.53/2.77 (b(s(z), z)),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[380, 8220])).
% 2.53/2.77 tff(8222,plain,
% 2.53/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.77 inference(rewrite,[status(thm)],[])).
% 2.53/2.77 tff(8223,plain,
% 2.53/2.77 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(s(z)), 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), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.77 inference(rewrite,[status(thm)],[])).
% 2.53/2.77 tff(8224,plain,
% 2.53/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.53/2.77 inference(monotonicity,[status(thm)],[8223])).
% 2.53/2.77 tff(8225,plain,
% 2.53/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.77 inference(transitivity,[status(thm)],[8224, 8222])).
% 2.53/2.77 tff(8226,plain,
% 2.53/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(z), z)))),
% 2.53/2.77 inference(quant_inst,[status(thm)],[])).
% 2.53/2.77 tff(8227,plain,
% 2.53/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 2.53/2.77 inference(modus_ponens,[status(thm)],[8226, 8225])).
% 2.53/2.77 tff(8228,plain,
% 2.53/2.77 ($false),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8227, 102, 92, 4759, 66, 197, 363])).
% 2.53/2.77 tff(8229,plain,((~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.77 tff(8230,plain,
% 2.53/2.77 (~b(s(z), s(s(z)))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8229, 8221, 4759, 66, 197])).
% 2.53/2.77 tff(8231,plain,
% 2.53/2.77 (r(s(z), s(s(z)))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[698, 8230])).
% 2.53/2.77 tff(8232,plain,
% 2.53/2.77 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[6848, 17, 8231, 8205, 64, 61])).
% 2.53/2.77 tff(8233,plain,
% 2.53/2.77 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[165, 8232])).
% 2.53/2.77 tff(8234,plain,
% 2.53/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), 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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))))), 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)))))))))),
% 2.53/2.77 inference(rewrite,[status(thm)],[])).
% 2.53/2.77 tff(8235,plain,
% 2.53/2.77 (((~b(s(z), z)) | (~b(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)))))))) | (~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)) | (~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(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)))))))))),
% 2.53/2.77 inference(rewrite,[status(thm)],[])).
% 2.53/2.77 tff(8236,plain,
% 2.53/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))))), 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))))))))))),
% 2.53/2.77 inference(monotonicity,[status(thm)],[8235])).
% 2.53/2.77 tff(8237,plain,
% 2.53/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))))), 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)))))))))),
% 2.53/2.77 inference(transitivity,[status(thm)],[8236, 8234])).
% 2.53/2.77 tff(8238,plain,
% 2.53/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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))))),
% 2.53/2.77 inference(quant_inst,[status(thm)],[])).
% 2.53/2.77 tff(8239,plain,
% 2.53/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.53/2.77 inference(modus_ponens,[status(thm)],[8238, 8237])).
% 2.53/2.77 tff(8240,plain,
% 2.53/2.77 ($false),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8239, 102, 4759, 425, 8209, 60, 8221, 8233])).
% 2.53/2.77 tff(8241,plain,((~r(z, s(z))) | (~b(s(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(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(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.77 tff(8242,plain,
% 2.53/2.77 (~r(z, s(z))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8241, 8177, 4759, 8195, 64, 61, 66, 8155, 65, 8159])).
% 2.53/2.77 tff(8243,plain,
% 2.53/2.77 (b(z, s(z))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[88, 8242])).
% 2.53/2.77 tff(8244,plain,
% 2.53/2.77 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[1695, 8177, 8159, 8243])).
% 2.53/2.77 tff(8245,plain,
% 2.53/2.77 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[165, 8244])).
% 2.53/2.77 tff(8246,plain,
% 2.53/2.77 (((~![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(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))))))))) <=> ((~![X0: $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)))))), 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))))))))),
% 2.53/2.77 inference(rewrite,[status(thm)],[])).
% 2.53/2.77 tff(8247,plain,
% 2.53/2.77 (((~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(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))))))))),
% 2.53/2.77 inference(rewrite,[status(thm)],[])).
% 2.53/2.77 tff(8248,plain,
% 2.53/2.77 (((~![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)))))), 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(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)))))))))),
% 2.53/2.77 inference(monotonicity,[status(thm)],[8247])).
% 2.53/2.77 tff(8249,plain,
% 2.53/2.77 (((~![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)))))), 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(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))))))))),
% 2.53/2.77 inference(transitivity,[status(thm)],[8248, 8246])).
% 2.53/2.77 tff(8250,plain,
% 2.53/2.77 ((~![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)))))), 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)))),
% 2.53/2.77 inference(quant_inst,[status(thm)],[])).
% 2.53/2.77 tff(8251,plain,
% 2.53/2.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.53/2.77 inference(modus_ponens,[status(thm)],[8250, 8249])).
% 2.53/2.77 tff(8252,plain,
% 2.53/2.77 ((~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8251, 17, 8175, 64, 61])).
% 2.53/2.77 tff(8253,plain,
% 2.53/2.77 (~r(s(z), z)),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[8252, 8245])).
% 2.53/2.77 tff(8254,plain,
% 2.53/2.77 (b(s(z), z)),
% 2.53/2.77 inference(unit_resolution,[status(thm)],[380, 8253])).
% 2.53/2.77 tff(8255,plain,
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% 2.53/2.78 ($false),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[1881, 17, 8305, 59, 65, 8303, 8301])).
% 2.53/2.78 tff(8307,plain,((~b(z, s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), 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))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.78 tff(8308,plain,
% 2.53/2.78 (~b(z, s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8307, 59, 65, 66, 4759, 61, 3, 5])).
% 2.53/2.78 tff(8309,plain,
% 2.53/2.78 (r(z, s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[88, 8308])).
% 2.53/2.78 tff(8310,plain,
% 2.53/2.78 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[1928, 17, 68, 59, 63])).
% 2.53/2.78 tff(8311,plain,
% 2.53/2.78 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[409, 8310])).
% 2.53/2.78 tff(8312,plain,
% 2.53/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8313,plain,
% 2.53/2.78 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(z)), 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(z))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8314,plain,
% 2.53/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(z)))))),
% 2.53/2.78 inference(monotonicity,[status(thm)],[8313])).
% 2.53/2.78 tff(8315,plain,
% 2.53/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(z))))),
% 2.53/2.78 inference(transitivity,[status(thm)],[8314, 8312])).
% 2.53/2.78 tff(8316,plain,
% 2.53/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 2.53/2.78 inference(quant_inst,[status(thm)],[])).
% 2.53/2.78 tff(8317,plain,
% 2.53/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.53/2.78 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 2.53/2.78 tff(8318,plain,
% 2.53/2.78 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8317, 102, 92, 8311, 1405])).
% 2.53/2.78 tff(8319,plain,
% 2.53/2.78 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[279, 8318])).
% 2.53/2.78 tff(8320,plain,
% 2.53/2.78 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[2100, 8319, 3, 5])).
% 2.53/2.78 tff(8321,plain,
% 2.53/2.78 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[341, 8320])).
% 2.53/2.78 tff(8322,plain,
% 2.53/2.78 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[2713, 8319, 65, 63])).
% 2.53/2.78 tff(8323,plain,
% 2.53/2.78 (b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[538, 8322])).
% 2.53/2.78 tff(8324,plain,
% 2.53/2.78 ($false),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8281, 8323, 8321, 4759, 364])).
% 2.53/2.78 tff(8325,plain,((~r(s(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))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.78 tff(8326,plain,
% 2.53/2.78 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8325, 8153, 8263, 65, 3, 5, 4759, 8309, 59])).
% 2.53/2.78 tff(8327,plain,
% 2.53/2.78 (b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[252, 8326])).
% 2.53/2.78 tff(8328,plain,
% 2.53/2.78 (~r(s(s(z)), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[1403, 8309, 59, 65])).
% 2.53/2.78 tff(8329,plain,
% 2.53/2.78 (b(s(s(z)), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[195, 8328])).
% 2.53/2.78 tff(8330,plain,
% 2.53/2.78 (~b(z, s(s(s(s(s(z))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[4767, 8327, 4759, 8263])).
% 2.53/2.78 tff(8331,plain,
% 2.53/2.78 (r(z, s(s(s(s(s(z))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[557, 8330])).
% 2.53/2.78 tff(8332,plain,
% 2.53/2.78 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8297, 8331, 59, 61, 8153, 66, 8327, 3, 5])).
% 2.53/2.78 tff(8333,plain,
% 2.53/2.78 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[341, 8332])).
% 2.53/2.78 tff(8334,plain,
% 2.53/2.78 (~r(s(s(s(s(s(z))))), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[3247, 8331, 8309, 61])).
% 2.53/2.78 tff(8335,plain,
% 2.53/2.78 (b(s(s(s(s(s(z))))), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[303, 8334])).
% 2.53/2.78 tff(8336,plain,
% 2.53/2.78 ($false),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8217, 8335, 8333, 66, 4759, 8329, 8327])).
% 2.53/2.78 tff(8337,plain,((~r(s(z), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), 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)), z))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.78 tff(8338,plain,
% 2.53/2.78 (~r(s(z), z)),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8337, 66, 4759, 61, 3, 5, 65])).
% 2.53/2.78 tff(8339,plain,
% 2.53/2.78 (b(s(z), z)),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[380, 8338])).
% 2.53/2.78 tff(8340,plain,
% 2.53/2.78 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[3938, 780, 61, 3])).
% 2.53/2.78 tff(8341,plain,
% 2.53/2.78 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[232, 8340])).
% 2.53/2.78 tff(8342,plain,
% 2.53/2.78 (~b(z, s(s(s(s(s(z))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[4838, 8341, 4759, 66])).
% 2.53/2.78 tff(8343,plain,
% 2.53/2.78 (r(z, s(s(s(s(s(z))))))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[557, 8342])).
% 2.53/2.78 tff(8344,plain,
% 2.53/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8345,plain,
% 2.53/2.78 (((~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(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(z, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8346,plain,
% 2.53/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.53/2.78 inference(monotonicity,[status(thm)],[8345])).
% 2.53/2.78 tff(8347,plain,
% 2.53/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.78 inference(transitivity,[status(thm)],[8346, 8344])).
% 2.53/2.78 tff(8348,plain,
% 2.53/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.53/2.78 inference(quant_inst,[status(thm)],[])).
% 2.53/2.78 tff(8349,plain,
% 2.53/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z)))))))),
% 2.53/2.78 inference(modus_ponens,[status(thm)],[8348, 8347])).
% 2.53/2.78 tff(8350,plain,
% 2.53/2.78 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8349, 102, 4759, 66, 8263, 8341])).
% 2.53/2.78 tff(8351,plain,
% 2.53/2.78 (r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[252, 8350])).
% 2.53/2.78 tff(8352,plain,
% 2.53/2.78 (((~![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(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(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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8353,plain,
% 2.53/2.78 (((~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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8354,plain,
% 2.53/2.78 (((~![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(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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 2.53/2.78 inference(monotonicity,[status(thm)],[8353])).
% 2.53/2.78 tff(8355,plain,
% 2.53/2.78 (((~![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(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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.53/2.78 inference(transitivity,[status(thm)],[8354, 8352])).
% 2.53/2.78 tff(8356,plain,
% 2.53/2.78 ((~![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(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))))),
% 2.53/2.78 inference(quant_inst,[status(thm)],[])).
% 2.53/2.78 tff(8357,plain,
% 2.53/2.78 ((~![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(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(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.53/2.78 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 2.53/2.78 tff(8358,plain,
% 2.53/2.78 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[8357, 17, 780, 5, 8351, 65])).
% 2.53/2.78 tff(8359,plain,
% 2.53/2.78 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.78 inference(unit_resolution,[status(thm)],[409, 8358])).
% 2.53/2.78 tff(8360,plain,
% 2.53/2.78 (((~![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(z), 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(z)))))) <=> ((~![X0: $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(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(z)))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8361,plain,
% 2.53/2.78 (((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), 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), 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(z)))))),
% 2.53/2.78 inference(rewrite,[status(thm)],[])).
% 2.53/2.78 tff(8362,plain,
% 2.53/2.78 (((~![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(s(z)))))), s(s(z)))) | (~r(s(z), 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(z), 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(z))))))),
% 2.53/2.78 inference(monotonicity,[status(thm)],[8361])).
% 2.53/2.78 tff(8363,plain,
% 2.53/2.78 (((~![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(s(z)))))), s(s(z)))) | (~r(s(z), 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(z), 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(z)))))),
% 2.53/2.79 inference(transitivity,[status(thm)],[8362, 8360])).
% 2.53/2.79 tff(8364,plain,
% 2.53/2.79 ((~![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)))))), s(s(z)))) | (~r(s(z), 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))))))))),
% 2.53/2.79 inference(quant_inst,[status(thm)],[])).
% 2.53/2.79 tff(8365,plain,
% 2.53/2.79 ((~![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(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(z))))),
% 2.53/2.79 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 2.53/2.79 tff(8366,plain,
% 2.53/2.79 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8365, 17, 780, 5, 305, 61])).
% 2.53/2.79 tff(8367,plain,
% 2.53/2.79 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[165, 8366])).
% 2.53/2.79 tff(8368,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.53/2.79 inference(rewrite,[status(thm)],[])).
% 2.53/2.79 tff(8369,plain,
% 2.53/2.79 (((~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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z))) <=> ((~b(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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.53/2.79 inference(rewrite,[status(thm)],[])).
% 2.53/2.79 tff(8370,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.53/2.79 inference(monotonicity,[status(thm)],[8369])).
% 2.53/2.79 tff(8371,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.53/2.79 inference(transitivity,[status(thm)],[8370, 8368])).
% 2.53/2.79 tff(8372,plain,
% 2.53/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)))),
% 2.53/2.79 inference(quant_inst,[status(thm)],[])).
% 2.53/2.79 tff(8373,plain,
% 2.53/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.53/2.79 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 2.53/2.79 tff(8374,plain,
% 2.53/2.79 ($false),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8373, 102, 4759, 364, 124, 363, 125])).
% 2.53/2.79 tff(8375,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(z), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.79 tff(8376,plain,
% 2.53/2.79 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8375, 8367, 4759, 364, 363])).
% 2.53/2.79 tff(8377,plain,
% 2.53/2.79 (r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[538, 8376])).
% 2.53/2.79 tff(8378,plain,
% 2.53/2.79 (~r(z, s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[4217, 17, 8377, 90, 305, 61])).
% 2.53/2.79 tff(8379,plain,
% 2.53/2.79 (b(z, s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[88, 8378])).
% 2.53/2.79 tff(8380,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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)))),
% 2.53/2.79 inference(rewrite,[status(thm)],[])).
% 2.53/2.79 tff(8381,plain,
% 2.53/2.79 (((~b(s(z), z)) | (~b(s(s(s(s(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(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.53/2.79 inference(rewrite,[status(thm)],[])).
% 2.53/2.79 tff(8382,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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))))),
% 2.53/2.79 inference(monotonicity,[status(thm)],[8381])).
% 2.53/2.79 tff(8383,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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)))),
% 2.53/2.79 inference(transitivity,[status(thm)],[8382, 8380])).
% 2.53/2.79 tff(8384,plain,
% 2.53/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.53/2.79 inference(quant_inst,[status(thm)],[])).
% 2.53/2.79 tff(8385,plain,
% 2.53/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))),
% 2.53/2.79 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 2.53/2.79 tff(8386,plain,
% 2.53/2.79 ($false),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8385, 102, 4759, 343, 382, 363])).
% 2.53/2.79 tff(8387,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.79 tff(8388,plain,
% 2.53/2.79 (~b(s(s(s(s(s(z))))), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8387, 8379, 4759, 363])).
% 2.53/2.79 tff(8389,plain,
% 2.53/2.79 (r(s(s(s(s(s(z))))), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[303, 8388])).
% 2.53/2.79 tff(8390,plain,
% 2.53/2.79 (((~b(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(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(z)), 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)))))))))),
% 2.53/2.79 inference(rewrite,[status(thm)],[])).
% 2.53/2.79 tff(8391,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.53/2.79 inference(monotonicity,[status(thm)],[8390])).
% 2.53/2.79 tff(8392,plain,
% 2.53/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.53/2.79 inference(transitivity,[status(thm)],[8391, 3536])).
% 2.53/2.79 tff(8393,plain,
% 2.53/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))))),
% 2.53/2.79 inference(quant_inst,[status(thm)],[])).
% 2.53/2.79 tff(8394,plain,
% 2.53/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.53/2.79 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 2.53/2.79 tff(8395,plain,
% 2.53/2.79 (~b(s(s(z)), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8394, 102, 425, 2217, 8367])).
% 2.53/2.79 tff(8396,plain,
% 2.53/2.79 (r(s(s(z)), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[195, 8395])).
% 2.53/2.79 tff(8397,plain,
% 2.53/2.79 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), 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(z), 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)))))),
% 2.53/2.79 inference(rewrite,[status(thm)],[])).
% 2.53/2.79 tff(8398,plain,
% 2.53/2.79 (((~![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(s(z))))), 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(z), 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))))))),
% 2.53/2.79 inference(monotonicity,[status(thm)],[8397])).
% 2.53/2.79 tff(8399,plain,
% 2.53/2.79 (((~![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(s(z))))), 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(z), 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)))))),
% 2.53/2.79 inference(transitivity,[status(thm)],[8398, 3087])).
% 2.53/2.79 tff(8400,plain,
% 2.53/2.79 ((~![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(s(z))))), 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)))))),
% 2.53/2.79 inference(quant_inst,[status(thm)],[])).
% 2.53/2.79 tff(8401,plain,
% 2.53/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 2.53/2.79 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 2.53/2.79 tff(8402,plain,
% 2.53/2.79 ($false),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8401, 17, 780, 8396, 8389, 3])).
% 2.53/2.79 tff(8403,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(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), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.79 tff(8404,plain,
% 2.53/2.79 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8403, 780, 3, 8359, 4759, 8339, 8343, 61, 8263, 5])).
% 2.53/2.79 tff(8405,plain,
% 2.53/2.79 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[341, 8404])).
% 2.53/2.79 tff(8406,plain,
% 2.53/2.79 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8281, 8405, 4759, 8263])).
% 2.53/2.79 tff(8407,plain,
% 2.53/2.79 (r(z, s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[538, 8406])).
% 2.53/2.79 tff(8408,plain,
% 2.53/2.79 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[2713, 8407, 65, 8351])).
% 2.53/2.79 tff(8409,plain,
% 2.53/2.79 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[279, 8408])).
% 2.53/2.79 tff(8410,plain,
% 2.53/2.79 ($false),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[2876, 102, 8263, 8409, 8405, 8341])).
% 2.53/2.79 tff(8411,plain,((~r(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~b(s(s(s(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(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.79 tff(8412,plain,
% 2.53/2.79 (~r(s(z), s(s(z)))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8411, 66, 4759, 3, 61, 5, 65])).
% 2.53/2.79 tff(8413,plain,
% 2.53/2.79 (b(s(z), s(s(z)))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[698, 8412])).
% 2.53/2.79 tff(8414,plain,
% 2.53/2.79 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8229, 8413, 4759, 66, 8339])).
% 2.53/2.79 tff(8415,plain,
% 2.53/2.79 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[232, 8414])).
% 2.53/2.79 tff(8416,plain,
% 2.53/2.79 (~b(s(s(z)), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[2822, 8413, 66, 8339])).
% 2.53/2.79 tff(8417,plain,
% 2.53/2.79 (r(s(s(z)), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[195, 8416])).
% 2.53/2.79 tff(8418,plain,
% 2.53/2.79 (~r(s(s(s(s(s(z))))), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[3785, 8417, 8415, 61])).
% 2.53/2.79 tff(8419,plain,
% 2.53/2.79 (b(s(s(s(s(s(z))))), s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[303, 8418])).
% 2.53/2.79 tff(8420,plain,
% 2.53/2.79 (~b(z, s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[8387, 8419, 4759, 8339])).
% 2.53/2.79 tff(8421,plain,
% 2.53/2.79 (r(z, s(z))),
% 2.53/2.79 inference(unit_resolution,[status(thm)],[88, 8420])).
% 2.53/2.79 tff(8422,plain,
% 2.53/2.79 (((~![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(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(z)), 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(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.53/2.80 inference(rewrite,[status(thm)],[])).
% 2.53/2.80 tff(8423,plain,
% 2.53/2.80 (((~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z))) <=> ((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.53/2.80 inference(rewrite,[status(thm)],[])).
% 2.53/2.80 tff(8424,plain,
% 2.53/2.80 (((~![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(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(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)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))))),
% 2.53/2.80 inference(monotonicity,[status(thm)],[8423])).
% 2.53/2.80 tff(8425,plain,
% 2.53/2.80 (((~![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(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(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)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z))))))))),
% 2.53/2.80 inference(transitivity,[status(thm)],[8424, 8422])).
% 2.53/2.80 tff(8426,plain,
% 2.53/2.80 ((~![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(z), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(z)), z)))),
% 2.53/2.80 inference(quant_inst,[status(thm)],[])).
% 2.53/2.80 tff(8427,plain,
% 2.53/2.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), s(s(s(s(s(z)))))))),
% 2.53/2.80 inference(modus_ponens,[status(thm)],[8426, 8425])).
% 2.53/2.80 tff(8428,plain,
% 2.53/2.80 ($false),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[8427, 17, 8417, 8415, 8421, 65, 61])).
% 2.53/2.80 tff(8429,plain,((~b(z, s(s(z)))) | (~r(s(s(z)), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.53/2.80 tff(8430,plain,
% 2.53/2.80 (~b(z, s(s(z)))),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[8429, 5, 61, 4759, 3, 65])).
% 2.53/2.80 tff(8431,plain,
% 2.53/2.80 (r(z, s(s(z)))),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[122, 8430])).
% 2.53/2.80 tff(8432,plain,
% 2.53/2.80 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[2482, 8431, 65, 5])).
% 2.53/2.80 tff(8433,plain,
% 2.53/2.80 (b(s(s(s(s(s(s(z)))))), z)),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[252, 8432])).
% 2.53/2.80 tff(8434,plain,
% 2.53/2.80 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[4767, 540, 4759, 4])).
% 2.53/2.80 tff(8435,plain,
% 2.53/2.80 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[361, 8434])).
% 2.53/2.80 tff(8436,plain,
% 2.53/2.80 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[3747, 8435, 3, 5, 61])).
% 2.53/2.80 tff(8437,plain,
% 2.53/2.80 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.53/2.80 inference(unit_resolution,[status(thm)],[409, 8436])).
% 2.53/2.80 tff(8438,plain,
% 2.53/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))), s(z))))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(8439,plain,
% 2.63/2.80 (((~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(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))) <=> ((~b(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(s(z)))))), s(z))))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(8440,plain,
% 2.63/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))), s(z)))))),
% 2.63/2.80 inference(monotonicity,[status(thm)],[8439])).
% 2.63/2.80 tff(8441,plain,
% 2.63/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))), s(z))))),
% 2.63/2.80 inference(transitivity,[status(thm)],[8440, 8438])).
% 2.63/2.80 tff(8442,plain,
% 2.63/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(8443,plain,
% 2.63/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[8442, 8441])).
% 2.63/2.80 tff(8444,plain,
% 2.63/2.80 ($false),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8443, 102, 540, 4759, 8437, 4, 363])).
% 2.63/2.80 tff(8445,plain,((~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(s(z), z)) | (~r(s(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(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.80 tff(8446,plain,
% 2.63/2.80 (~b(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8445, 363, 4, 4759, 3, 5, 61])).
% 2.63/2.80 tff(8447,plain,
% 2.63/2.80 (r(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[557, 8446])).
% 2.63/2.80 tff(8448,plain,
% 2.63/2.80 (~r(z, s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[3221, 8447, 3, 2, 61])).
% 2.63/2.80 tff(8449,plain,
% 2.63/2.80 (b(z, s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[88, 8448])).
% 2.63/2.80 tff(8450,plain,
% 2.63/2.80 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[2514, 102, 4, 8449, 363])).
% 2.63/2.80 tff(8451,plain,
% 2.63/2.80 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[409, 8450])).
% 2.63/2.80 tff(8452,plain,
% 2.63/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(8453,plain,
% 2.63/2.80 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), 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(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(8454,plain,
% 2.63/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z)))))), s(s(s(s(s(z)))))))))),
% 2.63/2.80 inference(monotonicity,[status(thm)],[8453])).
% 2.63/2.80 tff(8455,plain,
% 2.63/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z)))))), s(s(s(s(s(z))))))))),
% 2.63/2.80 inference(transitivity,[status(thm)],[8454, 8452])).
% 2.63/2.80 tff(8456,plain,
% 2.63/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(8457,plain,
% 2.63/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 2.63/2.80 tff(8458,plain,
% 2.63/2.80 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8457, 102, 4759, 4, 8449, 363])).
% 2.63/2.80 tff(8459,plain,
% 2.63/2.80 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[361, 8458])).
% 2.63/2.80 tff(8460,plain,
% 2.63/2.80 ($false),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[3747, 8459, 8451, 3, 5, 61])).
% 2.63/2.80 tff(8461,plain,((~b(s(z), z)) | (~r(s(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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.80 tff(8462,plain,
% 2.63/2.80 (~b(s(z), z)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8461, 5, 3, 61, 4759, 8433, 8431])).
% 2.63/2.80 tff(8463,plain,
% 2.63/2.80 (r(s(z), z)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[380, 8462])).
% 2.63/2.80 tff(8464,plain,
% 2.63/2.80 (~r(s(s(z)), s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[1403, 68, 8463, 65])).
% 2.63/2.80 tff(8465,plain,
% 2.63/2.80 (b(s(s(z)), s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[195, 8464])).
% 2.63/2.80 tff(8466,plain,
% 2.63/2.80 (~r(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[3221, 68, 3, 8431, 61])).
% 2.63/2.80 tff(8467,plain,
% 2.63/2.80 (b(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[557, 8466])).
% 2.63/2.80 tff(8468,plain,
% 2.63/2.80 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4767, 8467, 4759, 8433])).
% 2.63/2.80 tff(8469,plain,
% 2.63/2.80 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[361, 8468])).
% 2.63/2.80 tff(8470,plain,
% 2.63/2.80 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[1910, 8469, 3, 5])).
% 2.63/2.80 tff(8471,plain,
% 2.63/2.80 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[232, 8470])).
% 2.63/2.80 tff(8472,plain,
% 2.63/2.80 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8167, 60, 4759, 4])).
% 2.63/2.80 tff(8473,plain,
% 2.63/2.80 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[538, 8472])).
% 2.63/2.80 tff(8474,plain,
% 2.63/2.80 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[1040, 8473, 5, 2])).
% 2.63/2.80 tff(8475,plain,
% 2.63/2.80 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[279, 8474])).
% 2.63/2.80 tff(8476,plain,
% 2.63/2.80 (~b(z, s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[3531, 8475, 4, 168, 60, 197])).
% 2.63/2.80 tff(8477,plain,
% 2.63/2.80 (r(z, s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[88, 8476])).
% 2.63/2.80 tff(8478,plain,
% 2.63/2.80 (~r(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[3221, 8477, 3, 2, 61])).
% 2.63/2.80 tff(8479,plain,
% 2.63/2.80 (b(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[557, 8478])).
% 2.63/2.80 tff(8480,plain,
% 2.63/2.80 (((~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(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(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)))))))))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(8481,plain,
% 2.63/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.63/2.80 inference(monotonicity,[status(thm)],[8480])).
% 2.63/2.80 tff(8482,plain,
% 2.63/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.63/2.80 inference(transitivity,[status(thm)],[8481, 4772])).
% 2.63/2.80 tff(8483,plain,
% 2.63/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(8484,plain,
% 2.63/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 2.63/2.80 tff(8485,plain,
% 2.63/2.80 ($false),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8484, 102, 8479, 4759, 4, 60])).
% 2.63/2.80 tff(8486,plain,((~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)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.80 tff(8487,plain,
% 2.63/2.80 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8486, 8471, 8433, 3, 8431, 61, 4759, 8465, 5])).
% 2.63/2.80 tff(8488,plain,
% 2.63/2.80 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[341, 8487])).
% 2.63/2.80 tff(8489,plain,
% 2.63/2.80 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[2100, 8488, 3, 5])).
% 2.63/2.80 tff(8490,plain,
% 2.63/2.80 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[279, 8489])).
% 2.63/2.80 tff(8491,plain,
% 2.63/2.80 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[3747, 8469, 3, 5, 61])).
% 2.63/2.80 tff(8492,plain,
% 2.63/2.80 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[409, 8491])).
% 2.63/2.80 tff(8493,plain,
% 2.63/2.80 (~r(s(z), s(s(z)))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[1419, 8463, 65, 8431])).
% 2.63/2.80 tff(8494,plain,
% 2.63/2.80 (b(s(z), s(s(z)))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[698, 8493])).
% 2.63/2.80 tff(8495,plain,
% 2.63/2.80 ($false),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8317, 102, 8494, 8492, 8465, 8490])).
% 2.63/2.80 tff(8496,plain,((~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.80 tff(8497,plain,
% 2.63/2.80 (~r(z, s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8496, 5, 3, 61, 4759, 65])).
% 2.63/2.80 tff(8498,plain,
% 2.63/2.80 (b(z, s(z))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[88, 8497])).
% 2.63/2.80 tff(8499,plain,
% 2.63/2.80 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[1695, 8177, 4, 382])).
% 2.63/2.80 tff(8500,plain,
% 2.63/2.80 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[165, 8499])).
% 2.63/2.80 tff(8501,plain,
% 2.63/2.80 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[3487, 64, 61, 8500])).
% 2.63/2.80 tff(8502,plain,
% 2.63/2.80 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[341, 8501])).
% 2.63/2.80 tff(8503,plain,
% 2.63/2.80 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8167, 8502, 4759, 4])).
% 2.63/2.80 tff(8504,plain,
% 2.63/2.80 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[538, 8503])).
% 2.63/2.80 tff(8505,plain,
% 2.63/2.80 ($false),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8251, 17, 59, 8504, 64, 61, 8500])).
% 2.63/2.80 tff(8506,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(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(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.80 tff(8507,plain,
% 2.63/2.80 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8506, 8463, 61, 4759, 8433, 8498, 3, 5])).
% 2.63/2.80 tff(8508,plain,
% 2.63/2.80 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[361, 8507])).
% 2.63/2.80 tff(8509,plain,
% 2.63/2.80 (~b(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4767, 8508, 4759, 8433])).
% 2.63/2.80 tff(8510,plain,
% 2.63/2.80 (r(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[557, 8509])).
% 2.63/2.80 tff(8511,plain,
% 2.63/2.80 (~b(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4767, 364, 4759, 4])).
% 2.63/2.80 tff(8512,plain,
% 2.63/2.80 (r(z, s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[557, 8511])).
% 2.63/2.80 tff(8513,plain,
% 2.63/2.80 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[566, 8473, 5, 2, 8512])).
% 2.63/2.80 tff(8514,plain,
% 2.63/2.80 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[232, 8513])).
% 2.63/2.80 tff(8515,plain,
% 2.63/2.80 ($false),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[2876, 102, 364, 8475, 60, 8514])).
% 2.63/2.80 tff(8516,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(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.80 tff(8517,plain,
% 2.63/2.80 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[8516, 8508, 5, 8431, 4759, 8433])).
% 2.63/2.81 tff(8518,plain,
% 2.63/2.81 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[341, 8517])).
% 2.63/2.81 tff(8519,plain,
% 2.63/2.81 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1140, 8518, 5, 8431, 8510])).
% 2.63/2.81 tff(8520,plain,
% 2.63/2.81 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[538, 8519])).
% 2.63/2.81 tff(8521,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(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(X0, 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8522,plain,
% 2.63/2.81 (((~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(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)))))), 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(s(z)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8523,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.63/2.81 inference(monotonicity,[status(thm)],[8522])).
% 2.63/2.81 tff(8524,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.81 inference(transitivity,[status(thm)],[8523, 8521])).
% 2.63/2.81 tff(8525,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(8526,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[8525, 8524])).
% 2.63/2.81 tff(8527,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8526, 102, 4759, 8433, 8508, 8520])).
% 2.63/2.81 tff(8528,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(8529,plain,
% 2.63/2.81 ((~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(z))))), s(s(z)))) | (~r(s(s(z)), z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8528, 7981])).
% 2.63/2.81 tff(8530,plain,
% 2.63/2.81 (~r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8529, 5, 3, 65])).
% 2.63/2.81 tff(8531,plain,
% 2.63/2.81 (b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[3202, 8530])).
% 2.63/2.81 tff(8532,plain,
% 2.63/2.81 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[7993, 5, 90, 63, 3])).
% 2.63/2.81 tff(8533,plain,
% 2.63/2.81 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[361, 8532])).
% 2.63/2.81 tff(8534,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[798, 8533, 8531, 343, 125])).
% 2.63/2.81 tff(8535,plain,((~r(s(s(s(s(s(s(z)))))), 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(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(8536,plain,
% 2.63/2.81 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8535, 65, 2147, 90, 63, 3, 343])).
% 2.63/2.81 tff(8537,plain,
% 2.63/2.81 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[496, 8536])).
% 2.63/2.81 tff(8538,plain,
% 2.63/2.81 (~b(s(z), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[2774, 8537, 254, 2147])).
% 2.63/2.81 tff(8539,plain,
% 2.63/2.81 (r(s(z), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[698, 8538])).
% 2.63/2.81 tff(8540,plain,
% 2.63/2.81 (~r(z, s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1419, 8539, 59, 65])).
% 2.63/2.81 tff(8541,plain,
% 2.63/2.81 (b(z, s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[122, 8540])).
% 2.63/2.81 tff(8542,plain,
% 2.63/2.81 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[2923, 8541, 254, 8537, 1])).
% 2.63/2.81 tff(8543,plain,
% 2.63/2.81 (r(s(s(s(s(z)))), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[2048, 8542])).
% 2.63/2.81 tff(8544,plain,
% 2.63/2.81 (~r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4910, 8539, 59, 3, 65])).
% 2.63/2.81 tff(8545,plain,
% 2.63/2.81 (b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[3202, 8544])).
% 2.63/2.81 tff(8546,plain,
% 2.63/2.81 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[798, 8545, 343, 2147])).
% 2.63/2.81 tff(8547,plain,
% 2.63/2.81 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[361, 8546])).
% 2.63/2.81 tff(8548,plain,
% 2.63/2.81 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8005, 8547, 63, 90, 59])).
% 2.63/2.81 tff(8549,plain,
% 2.63/2.81 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[409, 8548])).
% 2.63/2.81 tff(8550,plain,
% 2.63/2.81 (~b(s(s(z)), s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[5363, 8549, 8537, 2147])).
% 2.63/2.81 tff(8551,plain,
% 2.63/2.81 (r(s(s(z)), s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[195, 8550])).
% 2.63/2.81 tff(8552,plain,
% 2.63/2.81 (~r(z, s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1403, 8551, 59, 65])).
% 2.63/2.81 tff(8553,plain,
% 2.63/2.81 (b(z, s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[88, 8552])).
% 2.63/2.81 tff(8554,plain,
% 2.63/2.81 (~b(s(s(s(s(z)))), s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[2332, 8553, 90, 343, 8545])).
% 2.63/2.81 tff(8555,plain,
% 2.63/2.81 (r(s(s(s(s(z)))), s(z))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1573, 8554])).
% 2.63/2.81 tff(8556,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[2371, 17, 8539, 8551, 8555, 8543])).
% 2.63/2.81 tff(8557,plain,((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(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(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(8558,plain,
% 2.63/2.81 (~r(s(s(z)), z)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8557, 1, 343, 59, 63, 8145, 90, 3])).
% 2.63/2.81 tff(8559,plain,
% 2.63/2.81 (b(s(s(z)), z)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1392, 8558])).
% 2.63/2.81 tff(8560,plain,
% 2.63/2.81 (~b(s(z), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8016, 8151, 8559, 343])).
% 2.63/2.81 tff(8561,plain,
% 2.63/2.81 (r(s(z), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[698, 8560])).
% 2.63/2.81 tff(8562,plain,
% 2.63/2.81 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[3938, 8561, 3, 8149])).
% 2.63/2.81 tff(8563,plain,
% 2.63/2.81 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[232, 8562])).
% 2.63/2.81 tff(8564,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8565,plain,
% 2.63/2.81 (((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(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(z, s(z))) | (~b(s(s(z)), 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(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8566,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.63/2.81 inference(monotonicity,[status(thm)],[8565])).
% 2.63/2.81 tff(8567,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.81 inference(transitivity,[status(thm)],[8566, 8564])).
% 2.63/2.81 tff(8568,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(s(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))))))))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(8569,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[8568, 8567])).
% 2.63/2.81 tff(8570,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8569, 102, 7981, 8559, 8145, 8563, 8151, 2147])).
% 2.63/2.81 tff(8571,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), 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))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(8572,plain,
% 2.63/2.81 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8571, 3, 343, 90, 305, 59, 63])).
% 2.63/2.81 tff(8573,plain,
% 2.63/2.81 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[538, 8572])).
% 2.63/2.81 tff(8574,plain,
% 2.63/2.81 (~b(z, s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1983, 7995, 8145, 8573])).
% 2.63/2.81 tff(8575,plain,
% 2.63/2.81 (r(z, s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[122, 8574])).
% 2.63/2.81 tff(8576,plain,
% 2.63/2.81 (~b(s(s(z)), z)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1807, 102, 7995, 8573, 8145])).
% 2.63/2.81 tff(8577,plain,
% 2.63/2.81 (r(s(s(z)), z)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1392, 8576])).
% 2.63/2.81 tff(8578,plain,
% 2.63/2.81 (~r(s(z), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1419, 8577, 59, 8575])).
% 2.63/2.81 tff(8579,plain,
% 2.63/2.81 (b(s(z), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[698, 8578])).
% 2.63/2.81 tff(8580,plain,
% 2.63/2.81 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[2774, 8579, 8145, 7995])).
% 2.63/2.81 tff(8581,plain,
% 2.63/2.81 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[165, 8580])).
% 2.63/2.81 tff(8582,plain,
% 2.63/2.81 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1720, 8575, 90, 3])).
% 2.63/2.81 tff(8583,plain,
% 2.63/2.81 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[232, 8582])).
% 2.63/2.81 tff(8584,plain,
% 2.63/2.81 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1738, 8579, 343, 8583])).
% 2.63/2.81 tff(8585,plain,
% 2.63/2.81 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[3202, 8584])).
% 2.63/2.81 tff(8586,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[3487, 8585, 8581, 305, 64])).
% 2.63/2.81 tff(8587,plain,((~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(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(8588,plain,
% 2.63/2.81 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8587, 3, 343, 59, 90, 305, 63])).
% 2.63/2.81 tff(8589,plain,
% 2.63/2.81 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[361, 8588])).
% 2.63/2.81 tff(8590,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(s(z)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8591,plain,
% 2.63/2.81 (((~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))))), 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(z)), s(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(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8592,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), 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(s(z))))))))))),
% 2.63/2.81 inference(monotonicity,[status(thm)],[8591])).
% 2.63/2.81 tff(8593,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), 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(s(z)))))))))),
% 2.63/2.81 inference(transitivity,[status(thm)],[8592, 8590])).
% 2.63/2.81 tff(8594,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(8595,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(s(z))))))))),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 2.63/2.81 tff(8596,plain,
% 2.63/2.81 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[8595, 102, 7981, 8589, 8573, 8145])).
% 2.63/2.81 tff(8597,plain,
% 2.63/2.81 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[232, 8596])).
% 2.63/2.81 tff(8598,plain,
% 2.63/2.81 (~r(z, s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1720, 8597, 90, 3])).
% 2.63/2.81 tff(8599,plain,
% 2.63/2.81 (b(z, s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[122, 8598])).
% 2.63/2.81 tff(8600,plain,
% 2.63/2.81 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[1983, 8599, 8145, 8573])).
% 2.63/2.81 tff(8601,plain,
% 2.63/2.81 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[496, 8600])).
% 2.63/2.81 tff(8602,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8603,plain,
% 2.63/2.81 (((~b(s(s(s(s(s(z))))), z)) | (~b(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(z)), s(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(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)))))))))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(8604,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))))),
% 2.63/2.81 inference(monotonicity,[status(thm)],[8603])).
% 2.63/2.81 tff(8605,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.63/2.82 inference(transitivity,[status(thm)],[8604, 8602])).
% 2.63/2.82 tff(8606,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), z)))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(8607,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 2.63/2.82 tff(8608,plain,
% 2.63/2.82 ($false),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8607, 102, 7981, 56, 364, 124, 254])).
% 2.63/2.82 tff(8609,plain,((~b(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(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.82 tff(8610,plain,
% 2.63/2.82 (~b(s(s(z)), z)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8609, 8589, 8573, 8145])).
% 2.63/2.82 tff(8611,plain,
% 2.63/2.82 (r(s(s(z)), z)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1392, 8610])).
% 2.63/2.82 tff(8612,plain,
% 2.63/2.82 (~r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8529, 8611, 3, 8601])).
% 2.63/2.82 tff(8613,plain,
% 2.63/2.82 (b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[3202, 8612])).
% 2.63/2.82 tff(8614,plain,
% 2.63/2.82 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1520, 8613, 343, 8589])).
% 2.63/2.82 tff(8615,plain,
% 2.63/2.82 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[409, 8614])).
% 2.63/2.82 tff(8616,plain,
% 2.63/2.82 (((~![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(z)), s(z))) | (~r(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))))))))) <=> ((~![X0: $i, X3: $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(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))))))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8617,plain,
% 2.63/2.82 (((~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(s(s(z)), s(z))) | (~r(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))))))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8618,plain,
% 2.63/2.82 (((~![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(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(s(s(z)), s(z))) | (~r(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)))))))))),
% 2.63/2.82 inference(monotonicity,[status(thm)],[8617])).
% 2.63/2.82 tff(8619,plain,
% 2.63/2.82 (((~![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(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(s(s(z)), s(z))) | (~r(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))))))))),
% 2.63/2.82 inference(transitivity,[status(thm)],[8618, 8616])).
% 2.63/2.82 tff(8620,plain,
% 2.63/2.82 ((~![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(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z))))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(8621,plain,
% 2.63/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[8620, 8619])).
% 2.63/2.82 tff(8622,plain,
% 2.63/2.82 ((~r(s(s(z)), s(z))) | (~r(s(s(z)), z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8621, 17, 8597, 59, 90])).
% 2.63/2.82 tff(8623,plain,
% 2.63/2.82 (~r(s(s(z)), s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8622, 8611])).
% 2.63/2.82 tff(8624,plain,
% 2.63/2.82 (b(s(s(z)), s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[195, 8623])).
% 2.63/2.82 tff(8625,plain,
% 2.63/2.82 (~b(z, s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1961, 8624, 343, 8599, 8613])).
% 2.63/2.82 tff(8626,plain,
% 2.63/2.82 (r(z, s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[88, 8625])).
% 2.63/2.82 tff(8627,plain,
% 2.63/2.82 ($false),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1930, 8626, 8615, 59, 63])).
% 2.63/2.82 tff(8628,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), 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))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.82 tff(8629,plain,
% 2.63/2.82 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8628, 63, 59, 343, 90, 305])).
% 2.63/2.82 tff(8630,plain,
% 2.63/2.82 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1711, 8629])).
% 2.63/2.82 tff(8631,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(z))) | (~b(s(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(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(z))) | (~b(s(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(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8632,plain,
% 2.63/2.82 (((~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(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))))), s(z))) | (~b(s(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(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8633,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), s(z))) | (~b(s(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(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.63/2.82 inference(monotonicity,[status(thm)],[8632])).
% 2.63/2.82 tff(8634,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), s(z))) | (~b(s(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(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.82 inference(transitivity,[status(thm)],[8633, 8631])).
% 2.63/2.82 tff(8635,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(8636,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 2.63/2.82 tff(8637,plain,
% 2.63/2.82 ($false),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8636, 102, 7981, 425, 56, 343, 57, 124])).
% 2.63/2.82 tff(8638,plain,((~b(s(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(z)))) | (~b(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.82 tff(8639,plain,
% 2.63/2.82 (~b(s(s(z)), z)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8638, 8007, 343, 8630, 7985])).
% 2.63/2.82 tff(8640,plain,
% 2.63/2.82 (r(s(s(z)), z)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1392, 8639])).
% 2.63/2.82 tff(8641,plain,
% 2.63/2.82 (~b(s(s(z)), z)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8638, 425, 343, 57, 124])).
% 2.63/2.82 tff(8642,plain,
% 2.63/2.82 (r(s(s(z)), z)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1392, 8641])).
% 2.63/2.82 tff(8643,plain,
% 2.63/2.82 (~r(s(z), s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1419, 2, 59, 8642])).
% 2.63/2.82 tff(8644,plain,
% 2.63/2.82 (b(s(z), s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[698, 8643])).
% 2.63/2.82 tff(8645,plain,
% 2.63/2.82 (~b(s(s(z)), s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[3257, 8644, 343, 57])).
% 2.63/2.82 tff(8646,plain,
% 2.63/2.82 (r(s(s(z)), s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[195, 8645])).
% 2.63/2.82 tff(8647,plain,
% 2.63/2.82 (~r(z, s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[1403, 8646, 59, 8642])).
% 2.63/2.82 tff(8648,plain,
% 2.63/2.82 (b(z, s(z))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[88, 8647])).
% 2.63/2.82 tff(8649,plain,
% 2.63/2.82 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[433, 8648, 124, 425])).
% 2.63/2.82 tff(8650,plain,
% 2.63/2.82 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[165, 8649])).
% 2.63/2.82 tff(8651,plain,
% 2.63/2.82 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[2482, 2, 63, 8642])).
% 2.63/2.82 tff(8652,plain,
% 2.63/2.82 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[496, 8651])).
% 2.63/2.82 tff(8653,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))), s(s(z)))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8654,plain,
% 2.63/2.82 (((~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(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(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(z))))), s(s(z)))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8655,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))), s(s(z))))))),
% 2.63/2.82 inference(monotonicity,[status(thm)],[8654])).
% 2.63/2.82 tff(8656,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))), s(s(z)))))),
% 2.63/2.82 inference(transitivity,[status(thm)],[8655, 8653])).
% 2.63/2.82 tff(8657,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(8658,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[8657, 8656])).
% 2.63/2.82 tff(8659,plain,
% 2.63/2.82 ($false),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8658, 102, 92, 4759, 343, 57, 197])).
% 2.63/2.82 tff(8660,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(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))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.82 tff(8661,plain,
% 2.63/2.82 ((~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(s(s(s(z))))), s(s(z))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8660, 7981])).
% 2.63/2.82 tff(8662,plain,
% 2.63/2.82 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8661, 8644, 343, 57])).
% 2.63/2.82 tff(8663,plain,
% 2.63/2.82 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[232, 8662])).
% 2.63/2.82 tff(8664,plain,
% 2.63/2.82 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[313, 8663, 305, 64])).
% 2.63/2.82 tff(8665,plain,
% 2.63/2.82 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[279, 8664])).
% 2.63/2.82 tff(8666,plain,
% 2.63/2.82 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[506, 8665, 57, 8652, 8644])).
% 2.63/2.82 tff(8667,plain,
% 2.63/2.82 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[3202, 8666])).
% 2.63/2.82 tff(8668,plain,
% 2.63/2.82 ($false),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[3487, 8667, 8650, 305, 64])).
% 2.63/2.82 tff(8669,plain,((~r(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(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(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(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.82 tff(8670,plain,
% 2.63/2.82 (~r(z, s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8669, 64, 305, 8630, 7985, 8007, 59, 343, 63])).
% 2.63/2.82 tff(8671,plain,
% 2.63/2.82 (b(z, s(s(z)))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[122, 8670])).
% 2.63/2.82 tff(8672,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(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(X0, 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))))), 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(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8673,plain,
% 2.63/2.82 (((~b(s(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(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))))), 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(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(8674,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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(X0, 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))))), 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(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 2.63/2.82 inference(monotonicity,[status(thm)],[8673])).
% 2.63/2.82 tff(8675,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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(X0, 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))))), 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(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.82 inference(transitivity,[status(thm)],[8674, 8672])).
% 2.63/2.82 tff(8676,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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)))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(8677,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[8676, 8675])).
% 2.63/2.82 tff(8678,plain,
% 2.63/2.82 ($false),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8677, 102, 7981, 425, 66, 343, 57, 254])).
% 2.63/2.82 tff(8679,plain,((~b(s(s(z)), s(s(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(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.82 tff(8680,plain,
% 2.63/2.82 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[8679, 8007, 8671, 343, 8630])).
% 2.63/2.82 tff(8681,plain,
% 2.63/2.82 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[279, 8680])).
% 2.63/2.82 tff(8682,plain,
% 2.63/2.82 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[3317, 8681, 305, 63, 8640])).
% 2.63/2.82 tff(8683,plain,
% 2.63/2.82 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[232, 8682])).
% 2.63/2.82 tff(8684,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8685,plain,
% 2.63/2.83 (((~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(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)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8686,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 2.63/2.83 inference(monotonicity,[status(thm)],[8685])).
% 2.63/2.83 tff(8687,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.83 inference(transitivity,[status(thm)],[8686, 8684])).
% 2.63/2.83 tff(8688,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(8689,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[8688, 8687])).
% 2.63/2.83 tff(8690,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8689, 102, 7981, 8671, 8630, 8683])).
% 2.63/2.83 tff(8691,plain,((~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)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8692,plain,
% 2.63/2.83 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8691, 63, 305, 343, 59, 90])).
% 2.63/2.83 tff(8693,plain,
% 2.63/2.83 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[361, 8692])).
% 2.63/2.83 tff(8694,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1346, 197, 57, 364])).
% 2.63/2.83 tff(8695,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[496, 8694])).
% 2.63/2.83 tff(8696,plain,
% 2.63/2.83 (~r(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2482, 8695, 63, 65])).
% 2.63/2.83 tff(8697,plain,
% 2.63/2.83 (b(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[122, 8696])).
% 2.63/2.83 tff(8698,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8689, 102, 7981, 8697, 57, 197])).
% 2.63/2.83 tff(8699,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8700,plain,
% 2.63/2.83 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8699, 65, 63, 57, 364])).
% 2.63/2.83 tff(8701,plain,
% 2.63/2.83 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[232, 8700])).
% 2.63/2.83 tff(8702,plain,
% 2.63/2.83 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[3317, 8701, 305, 63, 65])).
% 2.63/2.83 tff(8703,plain,
% 2.63/2.83 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[279, 8702])).
% 2.63/2.83 tff(8704,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[3926, 8703, 57, 364])).
% 2.63/2.83 tff(8705,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[496, 8704])).
% 2.63/2.83 tff(8706,plain,
% 2.63/2.83 (~r(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2482, 8705, 63, 65])).
% 2.63/2.83 tff(8707,plain,
% 2.63/2.83 (b(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[122, 8706])).
% 2.63/2.83 tff(8708,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8679, 8707, 8703, 343, 57])).
% 2.63/2.83 tff(8709,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[409, 8708])).
% 2.63/2.83 tff(8710,plain,
% 2.63/2.83 (~r(z, s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1930, 8709, 59, 63])).
% 2.63/2.83 tff(8711,plain,
% 2.63/2.83 (b(z, s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[88, 8710])).
% 2.63/2.83 tff(8712,plain,
% 2.63/2.83 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2713, 1, 65, 63])).
% 2.63/2.83 tff(8713,plain,
% 2.63/2.83 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[279, 8712])).
% 2.63/2.83 tff(8714,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[3926, 8713, 57, 364])).
% 2.63/2.83 tff(8715,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[496, 8714])).
% 2.63/2.83 tff(8716,plain,
% 2.63/2.83 (~r(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2482, 8715, 63, 65])).
% 2.63/2.83 tff(8717,plain,
% 2.63/2.83 (b(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[122, 8716])).
% 2.63/2.83 tff(8718,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8679, 8717, 8713, 343, 57])).
% 2.63/2.83 tff(8719,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[409, 8718])).
% 2.63/2.83 tff(8720,plain,
% 2.63/2.83 (~r(s(s(z)), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1971, 8719, 59, 63, 8715])).
% 2.63/2.83 tff(8721,plain,
% 2.63/2.83 (b(s(s(z)), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[195, 8720])).
% 2.63/2.83 tff(8722,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8723,plain,
% 2.63/2.83 (((~b(s(s(s(s(s(z))))), s(z))) | (~b(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)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(z))) | (~b(s(s(s(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(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8724,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.63/2.83 inference(monotonicity,[status(thm)],[8723])).
% 2.63/2.83 tff(8725,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.63/2.83 inference(transitivity,[status(thm)],[8724, 8722])).
% 2.63/2.83 tff(8726,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(8727,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 2.63/2.83 tff(8728,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8727, 102, 8721, 343, 364, 8713, 2147])).
% 2.63/2.83 tff(8729,plain,((~r(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))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8730,plain,
% 2.63/2.83 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8729, 65, 364, 59, 63, 57, 343])).
% 2.63/2.83 tff(8731,plain,
% 2.63/2.83 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[538, 8730])).
% 2.63/2.83 tff(8732,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2852, 102, 8707, 343, 364, 8731, 8703, 8711])).
% 2.63/2.83 tff(8733,plain,((~r(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(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8734,plain,
% 2.63/2.83 (~r(s(s(z)), z)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8733, 8693, 343, 59, 63, 8630, 305])).
% 2.63/2.83 tff(8735,plain,
% 2.63/2.83 (b(s(s(z)), z)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1392, 8734])).
% 2.63/2.83 tff(8736,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, 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)))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8737,plain,
% 2.63/2.83 (((~b(s(s(z)), 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))))) <=> ((~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)))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8738,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))))),
% 2.63/2.83 inference(monotonicity,[status(thm)],[8737])).
% 2.63/2.83 tff(8739,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))),
% 2.63/2.83 inference(transitivity,[status(thm)],[8738, 8736])).
% 2.63/2.83 tff(8740,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(8741,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[8740, 8739])).
% 2.63/2.83 tff(8742,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8741, 102, 7981, 66, 56, 57])).
% 2.63/2.83 tff(8743,plain,((~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8744,plain,
% 2.63/2.83 (~b(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8743, 8735, 8630])).
% 2.63/2.83 tff(8745,plain,
% 2.63/2.83 (r(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[122, 8744])).
% 2.63/2.83 tff(8746,plain,
% 2.63/2.83 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1140, 1, 90, 2, 305])).
% 2.63/2.83 tff(8747,plain,
% 2.63/2.83 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[496, 8746])).
% 2.63/2.83 tff(8748,plain,
% 2.63/2.83 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1346, 8747, 57, 364])).
% 2.63/2.83 tff(8749,plain,
% 2.63/2.83 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[232, 8748])).
% 2.63/2.83 tff(8750,plain,
% 2.63/2.83 (((~![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(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(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)))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8751,plain,
% 2.63/2.83 ((~![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(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)))))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(8752,plain,
% 2.63/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 2.63/2.83 tff(8753,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8752, 17, 8749, 2, 1, 90, 305])).
% 2.63/2.83 tff(8754,plain,((~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(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(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8755,plain,
% 2.63/2.83 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8754, 8745, 90, 305, 8630, 8693])).
% 2.63/2.83 tff(8756,plain,
% 2.63/2.83 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[538, 8755])).
% 2.63/2.83 tff(8757,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8638, 8756, 343, 8630, 8735])).
% 2.63/2.83 tff(8758,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[409, 8757])).
% 2.63/2.83 tff(8759,plain,
% 2.63/2.83 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[401, 8758, 59, 63, 8745])).
% 2.63/2.83 tff(8760,plain,
% 2.63/2.83 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[496, 8759])).
% 2.63/2.83 tff(8761,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(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(X0, 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(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8762,plain,
% 2.63/2.83 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(8763,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), s(s(z)))) | (~b(z, s(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(X0, 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(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.63/2.83 inference(monotonicity,[status(thm)],[8762])).
% 2.63/2.83 tff(8764,plain,
% 2.63/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), s(s(z)))) | (~b(z, s(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(X0, 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(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.83 inference(transitivity,[status(thm)],[8763, 8761])).
% 2.63/2.83 tff(8765,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), s(s(z)))) | (~b(z, s(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)))))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(8766,plain,
% 2.63/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 2.63/2.83 tff(8767,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8766, 102, 7981, 8760, 8735, 8630, 8756])).
% 2.63/2.83 tff(8768,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), 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))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8769,plain,
% 2.63/2.83 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8768, 305, 343, 90, 59])).
% 2.63/2.83 tff(8770,plain,
% 2.63/2.83 (b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[252, 8769])).
% 2.63/2.83 tff(8771,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[777, 66, 4, 56])).
% 2.63/2.83 tff(8772,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[496, 8771])).
% 2.63/2.83 tff(8773,plain,
% 2.63/2.83 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[707, 66, 4, 56])).
% 2.63/2.83 tff(8774,plain,
% 2.63/2.83 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[279, 8773])).
% 2.63/2.83 tff(8775,plain,
% 2.63/2.83 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8743, 66, 56])).
% 2.63/2.83 tff(8776,plain,
% 2.63/2.83 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1711, 8775])).
% 2.63/2.83 tff(8777,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2100, 8776, 8774, 305, 8772])).
% 2.63/2.83 tff(8778,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(8779,plain,
% 2.63/2.83 (~b(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8778, 56, 305, 8770])).
% 2.63/2.83 tff(8780,plain,
% 2.63/2.83 (r(z, s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[122, 8779])).
% 2.63/2.83 tff(8781,plain,
% 2.63/2.83 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1140, 5, 90, 8780, 305])).
% 2.63/2.83 tff(8782,plain,
% 2.63/2.83 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[538, 8781])).
% 2.63/2.83 tff(8783,plain,
% 2.63/2.83 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[262, 8782, 8770, 56])).
% 2.63/2.83 tff(8784,plain,
% 2.63/2.83 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[279, 8783])).
% 2.63/2.83 tff(8785,plain,
% 2.63/2.83 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2100, 8784, 305, 5])).
% 2.63/2.83 tff(8786,plain,
% 2.63/2.83 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1711, 8785])).
% 2.63/2.83 tff(8787,plain,
% 2.63/2.83 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8526, 102, 7981, 8770, 8782])).
% 2.63/2.83 tff(8788,plain,
% 2.63/2.83 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[361, 8787])).
% 2.63/2.83 tff(8789,plain,
% 2.63/2.83 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[313, 8788, 305, 8784])).
% 2.63/2.83 tff(8790,plain,
% 2.63/2.83 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[232, 8789])).
% 2.63/2.83 tff(8791,plain,
% 2.63/2.83 (~b(s(z), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[8661, 8790, 343, 8786])).
% 2.63/2.83 tff(8792,plain,
% 2.63/2.83 (r(s(z), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[698, 8791])).
% 2.63/2.83 tff(8793,plain,
% 2.63/2.83 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[3291, 68, 780, 2, 90])).
% 2.63/2.83 tff(8794,plain,
% 2.63/2.83 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[232, 8793])).
% 2.63/2.83 tff(8795,plain,
% 2.63/2.83 (~r(s(s(s(s(s(z))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[2254, 68, 780, 2, 90])).
% 2.63/2.83 tff(8796,plain,
% 2.63/2.83 (b(s(s(s(s(s(z))))), s(z))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[303, 8795])).
% 2.63/2.83 tff(8797,plain,
% 2.63/2.83 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1748, 1176, 8796, 8794])).
% 2.63/2.83 tff(8798,plain,
% 2.63/2.83 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[3202, 8797])).
% 2.63/2.83 tff(8799,plain,
% 2.63/2.83 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[3221, 68, 2, 90, 8798])).
% 2.63/2.83 tff(8800,plain,
% 2.63/2.83 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1711, 8799])).
% 2.63/2.83 tff(8801,plain,
% 2.63/2.83 (~r(s(s(z)), z)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1419, 59, 780, 2])).
% 2.63/2.83 tff(8802,plain,
% 2.63/2.83 (b(s(s(z)), z)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[1392, 8801])).
% 2.63/2.84 tff(8803,plain,
% 2.63/2.84 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[642, 498, 90, 197, 57])).
% 2.63/2.84 tff(8804,plain,
% 2.63/2.84 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[538, 8803])).
% 2.63/2.84 tff(8805,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8766, 102, 4759, 498, 56, 57, 8804])).
% 2.63/2.84 tff(8806,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8807,plain,
% 2.63/2.84 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8806, 8802, 4759, 8800, 90, 8794])).
% 2.63/2.84 tff(8808,plain,
% 2.63/2.84 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[496, 8807])).
% 2.63/2.84 tff(8809,plain,
% 2.63/2.84 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[951, 17, 780, 5, 59, 1])).
% 2.63/2.84 tff(8810,plain,
% 2.63/2.84 ((s(z) = s(s(s(s(s(s(z))))))) | b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[163, 49, 8809])).
% 2.63/2.84 tff(8811,plain,
% 2.63/2.84 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8810, 4645])).
% 2.63/2.84 tff(8812,plain,
% 2.63/2.84 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[1040, 1, 2, 5])).
% 2.63/2.84 tff(8813,plain,
% 2.63/2.84 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[279, 8812])).
% 2.63/2.84 tff(8814,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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))))), 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(X0, 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)))))), 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))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8815,plain,
% 2.63/2.84 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(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)), 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)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8816,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.63/2.84 inference(monotonicity,[status(thm)],[8815])).
% 2.63/2.84 tff(8817,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.84 inference(transitivity,[status(thm)],[8816, 8814])).
% 2.63/2.84 tff(8818,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(8819,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 2.63/2.84 tff(8820,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8819, 102, 4759, 168, 343, 4, 57, 125])).
% 2.63/2.84 tff(8821,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), 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(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8822,plain,
% 2.63/2.84 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8821, 8811, 1176, 343, 57, 4759])).
% 2.63/2.84 tff(8823,plain,
% 2.63/2.84 (r(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[252, 8822])).
% 2.63/2.84 tff(8824,plain,
% 2.63/2.84 ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[3710, 17, 780, 5, 68])).
% 2.63/2.84 tff(8825,plain,
% 2.63/2.84 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8824, 8823])).
% 2.63/2.84 tff(8826,plain,
% 2.63/2.84 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[409, 8825])).
% 2.63/2.84 tff(8827,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[3541, 102, 8826, 1176, 8813, 8811])).
% 2.63/2.84 tff(8828,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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(s(s(s(z))))), z)) | (~r(s(z), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8829,plain,
% 2.63/2.84 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8828, 8808, 780, 68, 8796, 8800, 4759, 59, 2])).
% 2.63/2.84 tff(8830,plain,
% 2.63/2.84 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[538, 8829])).
% 2.63/2.84 tff(8831,plain,
% 2.63/2.84 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8033, 8802, 4759, 1176, 8830, 8794])).
% 2.63/2.84 tff(8832,plain,
% 2.63/2.84 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[409, 8831])).
% 2.63/2.84 tff(8833,plain,
% 2.63/2.84 ((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[3710, 17, 780, 8808, 68])).
% 2.63/2.84 tff(8834,plain,
% 2.63/2.84 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8833, 8832])).
% 2.63/2.84 tff(8835,plain,
% 2.63/2.84 (b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[252, 8834])).
% 2.63/2.84 tff(8836,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(s(s(s(s(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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8837,plain,
% 2.63/2.84 (((~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(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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8838,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.63/2.84 inference(monotonicity,[status(thm)],[8837])).
% 2.63/2.84 tff(8839,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.84 inference(transitivity,[status(thm)],[8838, 8836])).
% 2.63/2.84 tff(8840,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(8841,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 2.63/2.84 tff(8842,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8841, 102, 4759, 8802, 8835, 8800, 8830])).
% 2.63/2.84 tff(8843,plain,((~r(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8844,plain,
% 2.63/2.84 ((~r(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8843, 7981])).
% 2.63/2.84 tff(8845,plain,
% 2.63/2.84 (~r(z, s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8844, 8792, 90, 8780, 59])).
% 2.63/2.84 tff(8846,plain,
% 2.63/2.84 (b(z, s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[88, 8845])).
% 2.63/2.84 tff(8847,plain,
% 2.63/2.84 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8638, 8786, 343, 8782, 56])).
% 2.63/2.84 tff(8848,plain,
% 2.63/2.84 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[409, 8847])).
% 2.63/2.84 tff(8849,plain,
% 2.63/2.84 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[1786, 8790, 90, 343, 8770, 56, 8848, 8780])).
% 2.63/2.84 tff(8850,plain,
% 2.63/2.84 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[3202, 8849])).
% 2.63/2.84 tff(8851,plain,
% 2.63/2.84 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[3487, 8850, 305, 8788])).
% 2.63/2.84 tff(8852,plain,
% 2.63/2.84 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[165, 8851])).
% 2.63/2.84 tff(8853,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[455, 8852, 8846, 8770, 8782])).
% 2.63/2.84 tff(8854,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8855,plain,
% 2.63/2.84 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8854, 56, 90, 59, 343, 305])).
% 2.63/2.84 tff(8856,plain,
% 2.63/2.84 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[496, 8855])).
% 2.63/2.84 tff(8857,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[1329, 102, 498, 56, 4, 124])).
% 2.63/2.84 tff(8858,plain,((~b(z, s(s(s(s(s(s(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))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8859,plain,
% 2.63/2.84 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8858, 8856, 56, 8770])).
% 2.63/2.84 tff(8860,plain,
% 2.63/2.84 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[538, 8859])).
% 2.63/2.84 tff(8861,plain,
% 2.63/2.84 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[7983, 8860, 90, 305])).
% 2.63/2.84 tff(8862,plain,
% 2.63/2.84 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[361, 8861])).
% 2.63/2.84 tff(8863,plain,
% 2.63/2.84 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8754, 8862, 90, 305, 8780, 8860])).
% 2.63/2.84 tff(8864,plain,
% 2.63/2.84 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[1711, 8863])).
% 2.63/2.84 tff(8865,plain,
% 2.63/2.84 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[1720, 3, 90, 2])).
% 2.63/2.84 tff(8866,plain,
% 2.63/2.84 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[232, 8865])).
% 2.63/2.84 tff(8867,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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)))), z)))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8868,plain,
% 2.63/2.84 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), 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(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)))), z)))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8869,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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)))), z))))),
% 2.63/2.84 inference(monotonicity,[status(thm)],[8868])).
% 2.63/2.84 tff(8870,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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)))), z)))),
% 2.63/2.84 inference(transitivity,[status(thm)],[8869, 8867])).
% 2.63/2.84 tff(8871,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(8872,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 2.63/2.84 tff(8873,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8872, 102, 7981, 56, 197, 3411, 3410])).
% 2.63/2.84 tff(8874,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8875,plain,
% 2.63/2.84 (~b(z, s(s(s(s(z)))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8874, 3410, 197, 56])).
% 2.63/2.84 tff(8876,plain,
% 2.63/2.84 (r(z, s(s(s(s(z)))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[54, 8875])).
% 2.63/2.84 tff(8877,plain,
% 2.63/2.84 (((~![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(z, 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(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(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8878,plain,
% 2.63/2.84 (((~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(s(s(s(z))))))) | (~r(z, 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(z, s(s(s(s(z)))))))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(8879,plain,
% 2.63/2.84 (((~![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(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(s(s(s(z))))))) | (~r(z, 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(z, s(s(s(s(z))))))))),
% 2.63/2.84 inference(monotonicity,[status(thm)],[8878])).
% 2.63/2.84 tff(8880,plain,
% 2.63/2.84 (((~![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(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(s(s(s(z))))))) | (~r(z, 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(z, s(s(s(s(z)))))))),
% 2.63/2.84 inference(transitivity,[status(thm)],[8879, 8877])).
% 2.63/2.84 tff(8881,plain,
% 2.63/2.84 ((~![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(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))))))))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(8882,plain,
% 2.63/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 2.63/2.84 tff(8883,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8882, 17, 2, 90, 4318, 7, 4477])).
% 2.63/2.84 tff(8884,plain,((~r(s(s(s(s(s(z))))), 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))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.84 tff(8885,plain,
% 2.63/2.84 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[8884, 8876, 90, 2, 4477])).
% 2.63/2.84 tff(8886,plain,
% 2.63/2.84 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[2114, 8885])).
% 2.63/2.84 tff(8887,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(s(s(s(z)))), z)))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8888,plain,
% 2.63/2.85 (((~b(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(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(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(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)))), z)))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8889,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(s(s(z)))))), 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(s(s(s(z)))), z))))),
% 2.63/2.85 inference(monotonicity,[status(thm)],[8888])).
% 2.63/2.85 tff(8890,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(s(s(z)))))), 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(s(s(s(z)))), z)))),
% 2.63/2.85 inference(transitivity,[status(thm)],[8889, 8887])).
% 2.63/2.85 tff(8891,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(8892,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[8891, 8890])).
% 2.63/2.85 tff(8893,plain,
% 2.63/2.85 ($false),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8892, 102, 498, 4, 364, 197, 8886, 3410])).
% 2.63/2.85 tff(8894,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.85 tff(8895,plain,
% 2.63/2.85 (~b(s(s(s(s(z)))), z)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8894, 4477, 4, 364, 8866, 90, 2, 498, 56])).
% 2.63/2.85 tff(8896,plain,
% 2.63/2.85 (r(s(s(s(s(z)))), z)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[2083, 8895])).
% 2.63/2.85 tff(8897,plain,
% 2.63/2.85 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4255, 17, 3, 90, 4477])).
% 2.63/2.85 tff(8898,plain,
% 2.63/2.85 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8897, 8896])).
% 2.63/2.85 tff(8899,plain,
% 2.63/2.85 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[6546, 8898])).
% 2.63/2.85 tff(8900,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(z)))))) | (~b(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8901,plain,
% 2.63/2.85 (((~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(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(z)), z)) | (~b(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8902,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.63/2.85 inference(monotonicity,[status(thm)],[8901])).
% 2.63/2.85 tff(8903,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.63/2.85 inference(transitivity,[status(thm)],[8902, 8900])).
% 2.63/2.85 tff(8904,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(8905,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[8904, 8903])).
% 2.63/2.85 tff(8906,plain,
% 2.63/2.85 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8905, 102, 7981, 56, 197, 5086, 3594])).
% 2.63/2.85 tff(8907,plain,
% 2.63/2.85 (b(s(s(z)), s(s(s(s(z))))) | r(s(s(z)), s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[3456, 3443])).
% 2.63/2.85 tff(8908,plain,
% 2.63/2.85 (r(s(s(z)), s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8907, 8906])).
% 2.63/2.85 tff(8909,plain,
% 2.63/2.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8910,plain,
% 2.63/2.85 (((~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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8911,plain,
% 2.63/2.85 (((~![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)))), 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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))))),
% 2.63/2.85 inference(monotonicity,[status(thm)],[8910])).
% 2.63/2.85 tff(8912,plain,
% 2.63/2.85 (((~![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)))), 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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.63/2.85 inference(transitivity,[status(thm)],[8911, 8909])).
% 2.63/2.85 tff(8913,plain,
% 2.63/2.85 ((~![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)))), 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)))))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(8914,plain,
% 2.63/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[8913, 8912])).
% 2.63/2.85 tff(8915,plain,
% 2.63/2.85 (~r(z, s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8914, 17, 2, 8908, 4477])).
% 2.63/2.85 tff(8916,plain,
% 2.63/2.85 (b(z, s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[54, 8915])).
% 2.63/2.85 tff(8917,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), s(s(s(s(s(z))))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8918,plain,
% 2.63/2.85 (((~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)))))) | (~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)))), s(s(s(s(s(z))))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8919,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), s(s(s(s(s(z)))))))))),
% 2.63/2.85 inference(monotonicity,[status(thm)],[8918])).
% 2.63/2.85 tff(8920,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), s(s(s(s(s(z))))))))),
% 2.63/2.85 inference(transitivity,[status(thm)],[8919, 8917])).
% 2.63/2.85 tff(8921,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(8922,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 2.63/2.85 tff(8923,plain,
% 2.63/2.85 ($false),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8922, 102, 7981, 5086, 8916, 3594])).
% 2.63/2.85 tff(8924,plain,((~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(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.85 tff(8925,plain,
% 2.63/2.85 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8924, 8899, 2, 4477, 56, 8866])).
% 2.63/2.85 tff(8926,plain,
% 2.63/2.85 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[2114, 8925])).
% 2.63/2.85 tff(8927,plain,
% 2.63/2.85 (~r(z, s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[8884, 8926, 90, 2, 4477])).
% 2.63/2.85 tff(8928,plain,
% 2.63/2.85 (b(z, s(s(s(s(z)))))),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[54, 8927])).
% 2.63/2.85 tff(8929,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(z))))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8930,plain,
% 2.63/2.85 (((~b(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(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(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(z))))))))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(8931,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), z)) | (~b(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(z)))))))))),
% 2.63/2.86 inference(monotonicity,[status(thm)],[8930])).
% 2.63/2.86 tff(8932,plain,
% 2.63/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(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(z))))))))),
% 2.63/2.86 inference(transitivity,[status(thm)],[8931, 8929])).
% 2.63/2.86 tff(8933,plain,
% 2.63/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(8934,plain,
% 2.63/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 2.63/2.86 tff(8935,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8934, 102, 7981, 56, 8866, 8928, 8899])).
% 2.63/2.86 tff(8936,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), 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)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(8937,plain,
% 2.63/2.86 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8936, 56, 90, 8780, 8864, 8770, 8862, 8856])).
% 2.63/2.86 tff(8938,plain,
% 2.63/2.86 (b(s(s(s(s(z)))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[2048, 8937])).
% 2.63/2.86 tff(8939,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8122, 17, 3, 2, 1, 62, 90])).
% 2.63/2.86 tff(8940,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(8941,plain,
% 2.63/2.86 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8940, 8864, 8780, 8860, 90])).
% 2.63/2.86 tff(8942,plain,
% 2.63/2.86 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[279, 8941])).
% 2.63/2.86 tff(8943,plain,
% 2.63/2.86 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[2386, 102, 8856, 8942, 8938])).
% 2.63/2.86 tff(8944,plain,
% 2.63/2.86 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[2072, 8943])).
% 2.63/2.86 tff(8945,plain,
% 2.63/2.86 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[2896, 102, 8856, 8942, 8938])).
% 2.63/2.86 tff(8946,plain,
% 2.63/2.86 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 8945])).
% 2.63/2.86 tff(8947,assumption,(r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.63/2.86 tff(8948,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[5135, 17, 1, 7, 6, 8947])).
% 2.63/2.86 tff(8949,plain,((~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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(8950,plain,
% 2.63/2.86 (~r(z, s(s(s(s(z)))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8949, 8946, 8944, 8860])).
% 2.63/2.86 tff(8951,plain,
% 2.63/2.86 (b(z, s(s(s(s(z)))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[54, 8950])).
% 2.63/2.86 tff(8952,plain,
% 2.63/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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)))))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(8953,plain,
% 2.63/2.86 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(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)))))), z)) | (~b(s(s(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(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(8954,plain,
% 2.63/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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))))))),
% 2.63/2.86 inference(monotonicity,[status(thm)],[8953])).
% 2.63/2.86 tff(8955,plain,
% 2.63/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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)))))),
% 2.63/2.86 inference(transitivity,[status(thm)],[8954, 8952])).
% 2.63/2.86 tff(8956,plain,
% 2.63/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(8957,plain,
% 2.63/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 2.63/2.86 tff(8958,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8957, 102, 7981, 8856, 8770, 8862, 8951, 8938])).
% 2.63/2.86 tff(8959,plain,((~b(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(z), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(8960,plain,
% 2.63/2.86 (~b(s(s(z)), z)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8959, 305, 90, 59, 343])).
% 2.63/2.86 tff(8961,plain,
% 2.63/2.86 (r(s(s(z)), z)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1392, 8960])).
% 2.63/2.86 tff(8962,plain,
% 2.63/2.86 ((~b(z, s(s(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(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8173, 7981])).
% 2.63/2.86 tff(8963,plain,
% 2.63/2.86 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8962, 7985, 8770, 66, 5])).
% 2.63/2.86 tff(8964,plain,
% 2.63/2.86 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1711, 8963])).
% 2.63/2.86 tff(8965,plain,
% 2.63/2.86 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[2034, 7985, 8770, 66])).
% 2.63/2.86 tff(8966,plain,
% 2.63/2.86 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[279, 8965])).
% 2.63/2.86 tff(8967,plain,
% 2.63/2.86 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[313, 8966, 305, 64])).
% 2.63/2.86 tff(8968,plain,
% 2.63/2.86 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[232, 8967])).
% 2.63/2.86 tff(8969,plain,
% 2.63/2.86 (~b(s(z), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8661, 8968, 343, 8964])).
% 2.63/2.86 tff(8970,plain,
% 2.63/2.86 (r(s(z), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[698, 8969])).
% 2.63/2.86 tff(8971,plain,
% 2.63/2.86 ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1685, 17, 5, 59, 8961])).
% 2.63/2.86 tff(8972,plain,
% 2.63/2.86 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8971, 8970])).
% 2.63/2.86 tff(8973,plain,
% 2.63/2.86 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[165, 8972])).
% 2.63/2.86 tff(8974,plain,
% 2.63/2.86 (~b(z, s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[455, 8973, 8770, 7985])).
% 2.63/2.86 tff(8975,plain,
% 2.63/2.86 (r(z, s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[88, 8974])).
% 2.63/2.86 tff(8976,plain,
% 2.63/2.86 ((~b(s(s(s(s(s(s(z)))))), 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(s(s(s(s(z))))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8821, 7981])).
% 2.63/2.86 tff(8977,plain,
% 2.63/2.86 (~b(s(s(z)), s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8976, 8973, 343, 8770, 8964])).
% 2.63/2.86 tff(8978,plain,
% 2.63/2.86 (r(s(s(z)), s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[195, 8977])).
% 2.63/2.86 tff(8979,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1403, 8978, 8975, 59, 8961])).
% 2.63/2.86 tff(8980,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~b(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(8981,plain,
% 2.63/2.86 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8980, 5, 343, 59, 305, 66, 90])).
% 2.63/2.86 tff(8982,plain,
% 2.63/2.86 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[361, 8981])).
% 2.63/2.86 tff(8983,plain,
% 2.63/2.86 (~r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8529, 3, 65, 5])).
% 2.63/2.86 tff(8984,plain,
% 2.63/2.86 (b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[3202, 8983])).
% 2.63/2.86 tff(8985,plain,
% 2.63/2.86 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[798, 8984, 343, 364])).
% 2.63/2.86 tff(8986,plain,
% 2.63/2.86 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[165, 8985])).
% 2.63/2.86 tff(8987,plain,
% 2.63/2.86 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8962, 3, 4, 66, 5])).
% 2.63/2.86 tff(8988,plain,
% 2.63/2.86 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[538, 8987])).
% 2.63/2.86 tff(8989,plain,
% 2.63/2.86 (~r(s(s(z)), s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8621, 17, 235, 59, 65, 90])).
% 2.63/2.86 tff(8990,plain,
% 2.63/2.86 (b(s(s(z)), s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[195, 8989])).
% 2.63/2.86 tff(8991,plain,
% 2.63/2.86 (~b(z, s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1961, 8990, 343, 66, 8984])).
% 2.63/2.86 tff(8992,plain,
% 2.63/2.86 (r(z, s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[88, 8991])).
% 2.63/2.86 tff(8993,plain,
% 2.63/2.86 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1520, 8984, 343, 364])).
% 2.63/2.86 tff(8994,plain,
% 2.63/2.86 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[409, 8993])).
% 2.63/2.86 tff(8995,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[745, 17, 8994, 8992, 8988, 8986])).
% 2.63/2.86 tff(8996,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(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(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(8997,plain,
% 2.63/2.86 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8996, 235, 66, 343, 59, 65, 90, 364, 5, 4])).
% 2.63/2.86 tff(8998,plain,
% 2.63/2.86 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1711, 8997])).
% 2.63/2.86 tff(8999,plain,
% 2.63/2.86 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8976, 8990, 343, 4, 8998])).
% 2.63/2.86 tff(9000,plain,
% 2.63/2.86 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[165, 8999])).
% 2.63/2.86 tff(9001,plain,
% 2.63/2.86 (~b(s(z), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[3257, 8990, 343, 8998])).
% 2.63/2.86 tff(9002,plain,
% 2.63/2.86 (r(s(z), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[698, 9001])).
% 2.63/2.86 tff(9003,plain,
% 2.63/2.86 ((~r(s(z), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1685, 17, 5, 59, 65])).
% 2.63/2.86 tff(9004,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[9003, 9002, 9000])).
% 2.63/2.86 tff(9005,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(9006,plain,
% 2.63/2.86 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[9005, 5, 59, 8961, 343, 8770, 90, 66, 8982])).
% 2.63/2.86 tff(9007,plain,
% 2.63/2.86 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[232, 9006])).
% 2.63/2.86 tff(9008,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[8349, 102, 7981, 66, 8770, 8982, 9007])).
% 2.63/2.86 tff(9009,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~r(s(z), 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))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(9010,plain,
% 2.63/2.86 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[9009, 66, 59, 343, 90, 305])).
% 2.63/2.86 tff(9011,plain,
% 2.63/2.86 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[496, 9010])).
% 2.63/2.86 tff(9012,plain,
% 2.63/2.86 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[1462, 9011, 8770, 66])).
% 2.63/2.86 tff(9013,plain,
% 2.63/2.86 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[279, 9012])).
% 2.63/2.86 tff(9014,plain,
% 2.63/2.86 (((~![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(z))))), s(s(s(s(s(s(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)), 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(z)), z)) | (~r(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)))))))))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(9015,plain,
% 2.63/2.86 (((~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(z, s(s(s(s(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(s(s(s(s(s(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)), s(s(s(s(s(s(z)))))))))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(9016,plain,
% 2.63/2.86 (((~![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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(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(s(s(s(s(s(z))))), s(s(s(s(s(s(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)), s(s(s(s(s(s(z))))))))))),
% 2.63/2.86 inference(monotonicity,[status(thm)],[9015])).
% 2.63/2.86 tff(9017,plain,
% 2.63/2.86 (((~![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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(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(s(s(s(s(s(z))))), s(s(s(s(s(s(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)), s(s(s(s(s(s(z)))))))))),
% 2.63/2.86 inference(transitivity,[status(thm)],[9016, 9014])).
% 2.63/2.86 tff(9018,plain,
% 2.63/2.86 ((~![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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(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)))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(9019,plain,
% 2.63/2.86 ((~![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(z))))), s(s(s(s(s(s(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)), s(s(s(s(s(s(z))))))))),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[9018, 9017])).
% 2.63/2.86 tff(9020,plain,
% 2.63/2.86 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[9019, 17, 8961, 9013, 90, 305])).
% 2.63/2.86 tff(9021,plain,
% 2.63/2.86 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[232, 9020])).
% 2.63/2.86 tff(9022,plain,
% 2.63/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(9023,plain,
% 2.63/2.86 (((~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(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)), 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(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(9024,plain,
% 2.63/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.63/2.86 inference(monotonicity,[status(thm)],[9023])).
% 2.63/2.86 tff(9025,plain,
% 2.63/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.87 inference(transitivity,[status(thm)],[9024, 9022])).
% 2.63/2.87 tff(9026,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(9027,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z))),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 2.63/2.87 tff(9028,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9027, 102, 7981, 66, 9011, 8770, 9021])).
% 2.63/2.87 tff(9029,plain,((~b(z, 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(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9030,plain,
% 2.63/2.87 (~b(z, s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9029, 305, 90, 59, 343])).
% 2.63/2.87 tff(9031,plain,
% 2.63/2.87 (r(z, s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[122, 9030])).
% 2.63/2.87 tff(9032,plain,
% 2.63/2.87 (~r(s(z), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1419, 9031, 59, 8961])).
% 2.63/2.87 tff(9033,plain,
% 2.63/2.87 (b(s(z), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[698, 9032])).
% 2.63/2.87 tff(9034,plain,
% 2.63/2.87 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1720, 235, 90, 2])).
% 2.63/2.87 tff(9035,plain,
% 2.63/2.87 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1711, 9034])).
% 2.63/2.87 tff(9036,plain,
% 2.63/2.87 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[313, 235, 305, 64])).
% 2.63/2.87 tff(9037,plain,
% 2.63/2.87 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[279, 9036])).
% 2.63/2.87 tff(9038,plain,
% 2.63/2.87 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[506, 9037, 9035, 498, 92])).
% 2.63/2.87 tff(9039,plain,
% 2.63/2.87 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3202, 9038])).
% 2.63/2.87 tff(9040,plain,
% 2.63/2.87 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[2774, 9037, 92, 498])).
% 2.63/2.87 tff(9041,plain,
% 2.63/2.87 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[165, 9040])).
% 2.63/2.87 tff(9042,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3487, 9041, 9039, 305, 64])).
% 2.63/2.87 tff(9043,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9044,plain,
% 2.63/2.87 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9043, 64, 305, 92, 498, 90, 2])).
% 2.63/2.87 tff(9045,plain,
% 2.63/2.87 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[232, 9044])).
% 2.63/2.87 tff(9046,plain,
% 2.63/2.87 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1738, 9045, 343, 92])).
% 2.63/2.87 tff(9047,plain,
% 2.63/2.87 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3202, 9046])).
% 2.63/2.87 tff(9048,plain,
% 2.63/2.87 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8661, 9045, 343, 92])).
% 2.63/2.87 tff(9049,plain,
% 2.63/2.87 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1711, 9048])).
% 2.63/2.87 tff(9050,plain,
% 2.63/2.87 (~r(z, s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3221, 9049, 90, 2, 9047])).
% 2.63/2.87 tff(9051,plain,
% 2.63/2.87 (b(z, s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[88, 9050])).
% 2.63/2.87 tff(9052,plain,
% 2.63/2.87 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3487, 9047, 305, 64])).
% 2.63/2.87 tff(9053,plain,
% 2.63/2.87 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[165, 9052])).
% 2.63/2.87 tff(9054,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[455, 9053, 9051, 4, 7985])).
% 2.63/2.87 tff(9055,plain,((~r(s(s(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))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(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(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9056,plain,
% 2.63/2.87 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9055, 498, 305, 90, 2, 343, 92, 4])).
% 2.63/2.87 tff(9057,plain,
% 2.63/2.87 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[361, 9056])).
% 2.63/2.87 tff(9058,plain,
% 2.63/2.87 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8090, 9057, 343, 92, 498])).
% 2.63/2.87 tff(9059,plain,
% 2.63/2.87 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[232, 9058])).
% 2.63/2.87 tff(9060,plain,
% 2.63/2.87 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1720, 9059, 90, 2])).
% 2.63/2.87 tff(9061,plain,
% 2.63/2.87 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1711, 9060])).
% 2.63/2.87 tff(9062,plain,
% 2.63/2.87 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3926, 9061, 498, 9057])).
% 2.63/2.87 tff(9063,plain,
% 2.63/2.87 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[279, 9062])).
% 2.63/2.87 tff(9064,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9019, 17, 9059, 65, 9063, 90, 305])).
% 2.63/2.87 tff(9065,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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(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(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9066,plain,
% 2.63/2.87 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9065, 8961, 90, 305, 9031, 343, 9033, 8770])).
% 2.63/2.87 tff(9067,plain,
% 2.63/2.87 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[496, 9066])).
% 2.63/2.87 tff(9068,plain,
% 2.63/2.87 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1140, 9067, 90, 9031, 305])).
% 2.63/2.87 tff(9069,plain,
% 2.63/2.87 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[538, 9068])).
% 2.63/2.87 tff(9070,plain,
% 2.63/2.87 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8526, 102, 7981, 8770, 9069])).
% 2.63/2.87 tff(9071,plain,
% 2.63/2.87 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[361, 9070])).
% 2.63/2.87 tff(9072,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), 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(z))))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), 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(z))))), s(s(z)))))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(9073,plain,
% 2.63/2.87 (((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(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(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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), 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(z))))), s(s(z)))))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(9074,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), 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(z))))), s(s(z))))))),
% 2.63/2.87 inference(monotonicity,[status(thm)],[9073])).
% 2.63/2.87 tff(9075,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), 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(z))))), s(s(z)))))),
% 2.63/2.87 inference(transitivity,[status(thm)],[9074, 9072])).
% 2.63/2.87 tff(9076,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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))))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(9077,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[9076, 9075])).
% 2.63/2.87 tff(9078,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9077, 102, 92, 7981, 343, 4, 9035, 9037])).
% 2.63/2.87 tff(9079,plain,((~r(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(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))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9080,plain,
% 2.63/2.87 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9079, 9033, 343, 8770, 305, 9071, 90, 9031])).
% 2.63/2.87 tff(9081,plain,
% 2.63/2.87 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[232, 9080])).
% 2.63/2.87 tff(9082,plain,
% 2.63/2.87 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8661, 9081, 343, 9033])).
% 2.63/2.87 tff(9083,plain,
% 2.63/2.87 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1711, 9082])).
% 2.63/2.87 tff(9084,plain,
% 2.63/2.87 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1738, 9081, 343, 9033])).
% 2.63/2.87 tff(9085,plain,
% 2.63/2.87 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3202, 9084])).
% 2.63/2.87 tff(9086,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8529, 9085, 9083, 8961, 9067])).
% 2.63/2.87 tff(9087,plain,((~r(s(s(s(s(s(z))))), s(s(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))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9088,plain,
% 2.63/2.87 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9087, 59, 90, 343])).
% 2.63/2.87 tff(9089,plain,
% 2.63/2.87 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[341, 9088])).
% 2.63/2.87 tff(9090,plain,
% 2.63/2.87 (r(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[252, 244])).
% 2.63/2.87 tff(9091,plain,
% 2.63/2.87 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8005, 64, 9090, 90, 59])).
% 2.63/2.87 tff(9092,plain,
% 2.63/2.87 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[409, 9091])).
% 2.63/2.87 tff(9093,plain,
% 2.63/2.87 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3737, 9092, 343, 9089])).
% 2.63/2.87 tff(9094,plain,
% 2.63/2.87 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[165, 9093])).
% 2.63/2.87 tff(9095,plain,
% 2.63/2.87 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1796, 9094, 59, 9090])).
% 2.63/2.87 tff(9096,plain,
% 2.63/2.87 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[538, 9095])).
% 2.63/2.87 tff(9097,plain,
% 2.63/2.87 (~b(s(s(z)), z)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8743, 57, 66])).
% 2.63/2.87 tff(9098,plain,
% 2.63/2.87 (r(s(s(z)), z)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1392, 9097])).
% 2.63/2.87 tff(9099,plain,
% 2.63/2.87 ((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, 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))))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8203, 7981])).
% 2.63/2.87 tff(9100,plain,
% 2.63/2.87 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9099, 4, 60, 66])).
% 2.63/2.87 tff(9101,plain,
% 2.63/2.87 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[279, 9100])).
% 2.63/2.87 tff(9102,plain,
% 2.63/2.87 ((~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(s(s(s(s(s(z))))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8167, 7981])).
% 2.63/2.87 tff(9103,plain,
% 2.63/2.87 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9102, 4, 60])).
% 2.63/2.87 tff(9104,plain,
% 2.63/2.87 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[538, 9103])).
% 2.63/2.87 tff(9105,plain,
% 2.63/2.87 ((~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(s(z)))) | (~b(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))))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8217, 7981])).
% 2.63/2.87 tff(9106,plain,
% 2.63/2.87 (~b(s(s(z)), s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9105, 4, 343, 60, 66])).
% 2.63/2.87 tff(9107,plain,
% 2.63/2.87 (r(s(s(z)), s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[195, 9106])).
% 2.63/2.87 tff(9108,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1881, 17, 9107, 59, 65, 9104, 9101])).
% 2.63/2.87 tff(9109,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(z), z)) | (~r(s(s(z)), 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(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9110,plain,
% 2.63/2.87 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9109, 9098, 59, 343, 9089, 66])).
% 2.63/2.87 tff(9111,plain,
% 2.63/2.87 (r(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[252, 9110])).
% 2.63/2.87 tff(9112,plain,
% 2.63/2.87 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9109, 9098, 59, 343, 60, 66])).
% 2.63/2.87 tff(9113,plain,
% 2.63/2.87 (r(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[252, 9112])).
% 2.63/2.87 tff(9114,plain,
% 2.63/2.87 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[3737, 425, 343, 60])).
% 2.63/2.87 tff(9115,plain,
% 2.63/2.87 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[165, 9114])).
% 2.63/2.87 tff(9116,plain,
% 2.63/2.87 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1796, 9115, 59, 9113])).
% 2.63/2.87 tff(9117,plain,
% 2.63/2.87 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[538, 9116])).
% 2.63/2.87 tff(9118,plain,
% 2.63/2.87 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8679, 425, 66, 343, 57])).
% 2.63/2.87 tff(9119,plain,
% 2.63/2.87 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[279, 9118])).
% 2.63/2.87 tff(9120,plain,
% 2.63/2.87 (~r(s(z), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[5932, 17, 59, 9113, 9119, 9115])).
% 2.63/2.87 tff(9121,plain,
% 2.63/2.87 (b(s(z), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[698, 9120])).
% 2.63/2.87 tff(9122,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(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(X0, 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))))), 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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(9123,plain,
% 2.63/2.87 (((~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(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(z), s(s(z)))) | (~b(s(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(9124,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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))))), 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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.63/2.87 inference(monotonicity,[status(thm)],[9123])).
% 2.63/2.87 tff(9125,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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))))), 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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.87 inference(transitivity,[status(thm)],[9124, 9122])).
% 2.63/2.87 tff(9126,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(9127,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 2.63/2.87 tff(9128,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9127, 102, 9121, 7981, 425, 57, 9117, 60])).
% 2.63/2.87 tff(9129,plain,((~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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9130,plain,
% 2.63/2.87 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9129, 57, 9089, 59, 66, 343])).
% 2.63/2.87 tff(9131,plain,
% 2.63/2.87 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[409, 9130])).
% 2.63/2.87 tff(9132,plain,
% 2.63/2.87 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8005, 9131, 9111, 90, 59])).
% 2.63/2.87 tff(9133,plain,
% 2.63/2.87 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[361, 9132])).
% 2.63/2.87 tff(9134,plain,
% 2.63/2.87 ((~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))))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8281, 7981])).
% 2.63/2.87 tff(9135,plain,
% 2.63/2.87 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9134, 9133, 9089])).
% 2.63/2.87 tff(9136,plain,
% 2.63/2.87 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[8729, 9133, 9098, 59, 9111, 57, 343])).
% 2.63/2.87 tff(9137,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[538, 9136, 9135])).
% 2.63/2.87 tff(9138,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(9139,plain,
% 2.63/2.87 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[9138, 66, 343, 90, 59])).
% 2.63/2.87 tff(9140,plain,
% 2.63/2.87 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1711, 9139])).
% 2.63/2.87 tff(9141,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(z)))), introduced(assumption)).
% 2.63/2.87 tff(9142,plain,
% 2.63/2.87 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[1910, 5, 3, 64])).
% 2.63/2.87 tff(9143,plain,
% 2.63/2.87 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[230, 49, 227, 9142])).
% 2.63/2.87 tff(9144,plain,
% 2.63/2.87 (~r(z, s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[7993, 5, 3, 63, 64])).
% 2.63/2.87 tff(9145,plain,
% 2.63/2.87 (b(z, s(s(s(s(s(z))))))),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[557, 9144])).
% 2.63/2.87 tff(9146,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(9147,plain,
% 2.63/2.87 (((~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(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(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(9148,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.63/2.87 inference(monotonicity,[status(thm)],[9147])).
% 2.63/2.87 tff(9149,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.63/2.87 inference(transitivity,[status(thm)],[9148, 9146])).
% 2.63/2.87 tff(9150,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(9151,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 2.63/2.88 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 2.63/2.88 tff(9152,plain,
% 2.63/2.88 ($false),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9151, 102, 9145, 4759, 56, 9143])).
% 2.63/2.88 tff(9153,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~r(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)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9154,plain,
% 2.63/2.88 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9153, 9090, 56, 3, 64, 4759])).
% 2.63/2.88 tff(9155,plain,
% 2.63/2.88 (s(s(s(s(s(s(z)))))) = s(s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[495, 9154, 9141])).
% 2.63/2.88 tff(9156,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), z) <=> b(s(s(z)), z)),
% 2.63/2.88 inference(monotonicity,[status(thm)],[9155])).
% 2.63/2.88 tff(9157,plain,
% 2.63/2.88 (b(s(s(z)), z) <=> b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.88 inference(symmetry,[status(thm)],[9156])).
% 2.63/2.88 tff(9158,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.88 inference(modus_ponens,[status(thm)],[56, 9157])).
% 2.63/2.88 tff(9159,plain,
% 2.63/2.88 ($false),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[244, 9158])).
% 2.63/2.88 tff(9160,plain,(b(s(s(s(s(s(s(z)))))), z) | (~b(s(s(z)), z)) | b(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(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9161,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), z) | (~b(s(s(z)), z)) | b(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(s(z)))))), s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9160, 7981])).
% 2.63/2.88 tff(9162,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9161, 64, 9140, 244, 56])).
% 2.63/2.88 tff(9163,plain,
% 2.63/2.88 (((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), 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(z, 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)))))))))),
% 2.63/2.88 inference(rewrite,[status(thm)],[])).
% 2.63/2.88 tff(9164,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.63/2.88 inference(monotonicity,[status(thm)],[9163])).
% 2.63/2.88 tff(9165,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.88 inference(transitivity,[status(thm)],[9164, 1302])).
% 2.63/2.88 tff(9166,plain,
% 2.63/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.63/2.88 inference(quant_inst,[status(thm)],[])).
% 2.63/2.88 tff(9167,plain,
% 2.63/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.63/2.88 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 2.63/2.88 tff(9168,plain,
% 2.63/2.88 ($false),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9167, 102, 66, 9162, 56, 9096])).
% 2.63/2.88 tff(9169,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | b(s(s(s(s(s(s(z)))))), z) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9170,plain,
% 2.63/2.88 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9169, 56, 66, 59, 343, 244, 90])).
% 2.63/2.88 tff(9171,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[361, 9170])).
% 2.63/2.88 tff(9172,plain,
% 2.63/2.88 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9134, 9171, 9089])).
% 2.63/2.88 tff(9173,plain,
% 2.63/2.88 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[538, 9172])).
% 2.63/2.88 tff(9174,plain,
% 2.63/2.88 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1796, 9173, 59, 9090])).
% 2.63/2.88 tff(9175,plain,
% 2.63/2.88 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[165, 9174])).
% 2.63/2.88 tff(9176,plain,
% 2.63/2.88 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[798, 9175, 343, 9171])).
% 2.63/2.88 tff(9177,plain,
% 2.63/2.88 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[3202, 9176])).
% 2.63/2.88 tff(9178,plain,
% 2.63/2.88 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[3737, 9175, 343, 9089])).
% 2.63/2.88 tff(9179,plain,
% 2.63/2.88 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[409, 9178])).
% 2.63/2.88 tff(9180,plain,
% 2.63/2.88 (~r(z, s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1930, 9179, 59, 9090])).
% 2.63/2.88 tff(9181,plain,
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% 2.63/2.88 inference(unit_resolution,[status(thm)],[88, 9180])).
% 2.63/2.88 tff(9182,plain,
% 2.63/2.88 (~b(s(z), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8016, 9181, 56, 343])).
% 2.63/2.88 tff(9183,plain,
% 2.63/2.88 (r(s(z), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[698, 9182])).
% 2.63/2.88 tff(9184,plain,
% 2.63/2.88 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[3938, 9183, 9140, 9177])).
% 2.63/2.88 tff(9185,plain,
% 2.63/2.88 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[232, 9184])).
% 2.63/2.88 tff(9186,plain,
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% 2.63/2.88 inference(unit_resolution,[status(thm)],[8129, 102, 7981, 66, 56, 9185])).
% 2.63/2.88 tff(9187,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | b(s(s(s(s(s(s(z)))))), z) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9188,plain,
% 2.63/2.88 (~b(s(s(z)), z)),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9187, 244, 343, 59, 66, 90])).
% 2.63/2.88 tff(9189,plain,
% 2.63/2.88 (r(s(s(z)), z)),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1392, 9188])).
% 2.63/2.88 tff(9190,plain,
% 2.63/2.88 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8557, 1, 343, 59, 3, 63, 90, 65])).
% 2.63/2.88 tff(9191,plain,
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% 2.63/2.88 inference(unit_resolution,[status(thm)],[279, 8712, 9190])).
% 2.63/2.88 tff(9192,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9193,plain,
% 2.63/2.88 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9192, 9189, 9090, 343, 59, 9140, 90])).
% 2.63/2.88 tff(9194,plain,
% 2.63/2.88 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[538, 9193])).
% 2.63/2.88 tff(9195,plain,
% 2.63/2.88 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9134, 9194, 9089])).
% 2.63/2.88 tff(9196,plain,
% 2.63/2.88 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[361, 9195])).
% 2.63/2.88 tff(9197,plain,
% 2.63/2.88 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[7993, 9196, 90, 9140, 9090])).
% 2.63/2.88 tff(9198,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[496, 9197])).
% 2.63/2.88 tff(9199,plain,
% 2.63/2.88 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8005, 9196, 9090, 90, 59])).
% 2.63/2.88 tff(9200,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[409, 9199])).
% 2.63/2.88 tff(9201,plain,
% 2.63/2.88 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[3737, 9200, 343, 9089])).
% 2.63/2.88 tff(9202,plain,
% 2.63/2.88 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[165, 9201])).
% 2.63/2.88 tff(9203,plain,
% 2.63/2.88 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1983, 9198, 66, 9194])).
% 2.63/2.88 tff(9204,plain,
% 2.63/2.88 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[279, 9203])).
% 2.63/2.88 tff(9205,plain,
% 2.63/2.88 (~r(s(z), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[5932, 17, 59, 9090, 9204, 9202])).
% 2.63/2.88 tff(9206,plain,
% 2.63/2.88 (b(s(z), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[698, 9205])).
% 2.63/2.88 tff(9207,plain,
% 2.63/2.88 (~b(s(s(z)), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[4730, 9206, 66, 9198, 9194])).
% 2.63/2.88 tff(9208,plain,
% 2.63/2.88 (r(s(s(z)), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[195, 9207])).
% 2.63/2.88 tff(9209,plain,
% 2.63/2.88 (~r(z, s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1403, 9208, 59, 9189])).
% 2.63/2.88 tff(9210,plain,
% 2.63/2.88 (b(z, s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[88, 9209])).
% 2.63/2.88 tff(9211,plain,
% 2.63/2.88 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8068, 9210, 66, 343, 9194, 9198])).
% 2.63/2.88 tff(9212,plain,
% 2.63/2.88 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[232, 9211])).
% 2.63/2.88 tff(9213,plain,
% 2.63/2.88 ($false),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8621, 17, 9208, 9212, 59, 9189, 90])).
% 2.63/2.88 tff(9214,plain,(b(s(s(s(s(s(s(z)))))), z) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9215,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9214, 66, 90, 59, 343])).
% 2.63/2.88 tff(9216,plain,
% 2.63/2.88 (~r(s(s(z)), z)),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9109, 9215, 59, 343, 9089, 66])).
% 2.63/2.88 tff(9217,plain,
% 2.63/2.88 (b(s(s(z)), z)),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1392, 9216])).
% 2.63/2.88 tff(9218,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.63/2.88 inference(rewrite,[status(thm)],[])).
% 2.63/2.88 tff(9219,plain,
% 2.63/2.88 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, 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(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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.63/2.88 inference(rewrite,[status(thm)],[])).
% 2.63/2.88 tff(9220,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.63/2.88 inference(monotonicity,[status(thm)],[9219])).
% 2.63/2.88 tff(9221,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.63/2.88 inference(transitivity,[status(thm)],[9220, 9218])).
% 2.63/2.88 tff(9222,plain,
% 2.63/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.63/2.88 inference(quant_inst,[status(thm)],[])).
% 2.63/2.88 tff(9223,plain,
% 2.63/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.63/2.88 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 2.63/2.88 tff(9224,plain,
% 2.63/2.88 ($false),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9223, 102, 7981, 66, 9217, 9215, 9089])).
% 2.63/2.88 tff(9225,plain,((~b(z, s(s(z)))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9226,plain,
% 2.63/2.88 (~b(z, s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9225, 59, 343, 90])).
% 2.63/2.88 tff(9227,plain,
% 2.63/2.88 (r(z, s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[122, 9226])).
% 2.63/2.88 tff(9228,plain,
% 2.63/2.88 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1720, 3, 90, 9227])).
% 2.63/2.88 tff(9229,plain,
% 2.63/2.88 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[232, 9228])).
% 2.63/2.88 tff(9230,plain,
% 2.63/2.88 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[3737, 125, 343, 60])).
% 2.63/2.88 tff(9231,plain,
% 2.63/2.88 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[409, 9230])).
% 2.63/2.88 tff(9232,plain,
% 2.63/2.88 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[401, 9231, 59, 2, 63])).
% 2.63/2.88 tff(9233,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[496, 9232])).
% 2.63/2.88 tff(9234,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(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(X0, 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))))), 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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.88 inference(rewrite,[status(thm)],[])).
% 2.63/2.88 tff(9235,plain,
% 2.63/2.88 (((~b(s(s(z)), z)) | (~b(s(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)))))))) | (~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)), 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))))), 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)))))))))),
% 2.63/2.88 inference(rewrite,[status(thm)],[])).
% 2.63/2.88 tff(9236,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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))))), 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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 2.63/2.88 inference(monotonicity,[status(thm)],[9235])).
% 2.63/2.88 tff(9237,plain,
% 2.63/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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))))), 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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 2.63/2.88 inference(transitivity,[status(thm)],[9236, 9234])).
% 2.63/2.88 tff(9238,plain,
% 2.63/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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))))),
% 2.63/2.88 inference(quant_inst,[status(thm)],[])).
% 2.63/2.88 tff(9239,plain,
% 2.63/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 2.63/2.88 inference(modus_ponens,[status(thm)],[9238, 9237])).
% 2.63/2.88 tff(9240,plain,
% 2.63/2.88 ($false),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9239, 102, 7981, 9233, 56, 343, 60, 125])).
% 2.63/2.88 tff(9241,plain,((~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9242,plain,
% 2.63/2.88 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9241, 56, 343, 9089, 59, 9227, 9090])).
% 2.63/2.88 tff(9243,plain,
% 2.63/2.88 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[165, 9242])).
% 2.63/2.88 tff(9244,plain,
% 2.63/2.88 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1796, 9243, 59, 9090])).
% 2.63/2.88 tff(9245,plain,
% 2.63/2.88 (b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[538, 9244])).
% 2.63/2.88 tff(9246,plain,
% 2.63/2.88 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9134, 9245, 9089])).
% 2.63/2.88 tff(9247,plain,
% 2.63/2.88 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[361, 9246])).
% 2.63/2.88 tff(9248,plain,
% 2.63/2.88 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8005, 9247, 9090, 90, 59])).
% 2.63/2.88 tff(9249,plain,
% 2.63/2.88 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[409, 9248])).
% 2.63/2.88 tff(9250,plain,
% 2.63/2.88 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9134, 124, 9089])).
% 2.63/2.88 tff(9251,plain,
% 2.63/2.88 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[361, 9250])).
% 2.63/2.88 tff(9252,plain,
% 2.63/2.88 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8638, 124, 343, 56, 57])).
% 2.63/2.88 tff(9253,plain,
% 2.63/2.88 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[409, 9252])).
% 2.63/2.88 tff(9254,plain,
% 2.63/2.88 ($false),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[8005, 9253, 9251, 63, 90, 59])).
% 2.63/2.88 tff(9255,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.88 tff(9256,plain,
% 2.63/2.88 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[9255, 9245, 90, 59, 343, 56, 9090])).
% 2.63/2.88 tff(9257,plain,
% 2.63/2.88 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.88 inference(unit_resolution,[status(thm)],[1711, 9256])).
% 2.63/2.89 tff(9258,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1720, 9257, 90, 9227])).
% 2.63/2.89 tff(9259,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[232, 9258])).
% 2.63/2.89 tff(9260,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8046, 9259, 9090, 90, 56, 9257, 9249, 9245, 59, 343])).
% 2.63/2.89 tff(9261,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[279, 9260])).
% 2.63/2.89 tff(9262,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9161, 9257, 244, 56, 9247])).
% 2.63/2.89 tff(9263,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1299, 102, 9262, 56, 9245, 9261])).
% 2.63/2.89 tff(9264,plain,((~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(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,[]))).
% 2.63/2.89 tff(9265,plain,
% 2.63/2.89 (~b(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9264, 244, 59, 343, 90])).
% 2.63/2.89 tff(9266,plain,
% 2.63/2.89 (r(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1392, 9265])).
% 2.63/2.89 tff(9267,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[2482, 9266, 9227, 9090])).
% 2.63/2.89 tff(9268,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[496, 9267])).
% 2.63/2.89 tff(9269,plain,
% 2.63/2.89 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9134, 364, 9089])).
% 2.63/2.89 tff(9270,plain,
% 2.63/2.89 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[538, 9269])).
% 2.63/2.89 tff(9271,plain,
% 2.63/2.89 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8729, 9270, 65, 59, 63, 364, 343])).
% 2.63/2.89 tff(9272,plain,
% 2.63/2.89 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9192, 9270, 63, 343, 59, 65, 90])).
% 2.63/2.89 tff(9273,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1711, 9272, 9271])).
% 2.63/2.89 tff(9274,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9275,plain,
% 2.63/2.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9274, 9090, 343, 59, 9266, 90])).
% 2.63/2.89 tff(9276,plain,
% 2.63/2.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[361, 9275])).
% 2.63/2.89 tff(9277,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8005, 9276, 9090, 90, 59])).
% 2.63/2.89 tff(9278,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[409, 9277])).
% 2.63/2.89 tff(9279,plain,
% 2.63/2.89 (~r(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1419, 9266, 59, 9227])).
% 2.63/2.89 tff(9280,plain,
% 2.63/2.89 (b(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[698, 9279])).
% 2.63/2.89 tff(9281,plain,
% 2.63/2.89 (((~b(s(s(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(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(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(z))))),
% 2.63/2.89 inference(rewrite,[status(thm)],[])).
% 2.63/2.89 tff(9282,plain,
% 2.63/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))),
% 2.63/2.89 inference(monotonicity,[status(thm)],[9281])).
% 2.63/2.89 tff(9283,plain,
% 2.63/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z))))),
% 2.63/2.89 inference(transitivity,[status(thm)],[9282, 3828])).
% 2.63/2.89 tff(9284,plain,
% 2.63/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 2.63/2.89 inference(quant_inst,[status(thm)],[])).
% 2.63/2.89 tff(9285,plain,
% 2.63/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.63/2.89 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 2.63/2.89 tff(9286,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9285, 102, 92, 425, 498, 254])).
% 2.63/2.89 tff(9287,plain,((~b(s(s(z)), s(s(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(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9288,plain,
% 2.63/2.89 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9287, 9280, 9278, 9268])).
% 2.63/2.89 tff(9289,plain,
% 2.63/2.89 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[279, 9288])).
% 2.63/2.89 tff(9290,plain,
% 2.63/2.89 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3737, 9278, 343, 9089])).
% 2.63/2.89 tff(9291,plain,
% 2.63/2.89 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[165, 9290])).
% 2.63/2.89 tff(9292,plain,
% 2.63/2.89 (((~![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(s(z)), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(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)))))))))) <=> ((~![X0: $i, X3: $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(z)), z)) | (~r(s(s(s(s(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)))))))))),
% 2.63/2.89 inference(rewrite,[status(thm)],[])).
% 2.63/2.89 tff(9293,plain,
% 2.63/2.89 (((~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(z)), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(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)))))))))),
% 2.63/2.89 inference(rewrite,[status(thm)],[])).
% 2.63/2.89 tff(9294,plain,
% 2.63/2.89 (((~![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(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(z)), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(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))))))))))),
% 2.63/2.89 inference(monotonicity,[status(thm)],[9293])).
% 2.63/2.89 tff(9295,plain,
% 2.63/2.89 (((~![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(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(z)), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(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)))))))))),
% 2.63/2.89 inference(transitivity,[status(thm)],[9294, 9292])).
% 2.63/2.89 tff(9296,plain,
% 2.63/2.89 ((~![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(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))))),
% 2.63/2.89 inference(quant_inst,[status(thm)],[])).
% 2.63/2.89 tff(9297,plain,
% 2.63/2.89 ((~![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(s(z)), s(z))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(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))))))))),
% 2.63/2.89 inference(modus_ponens,[status(thm)],[9296, 9295])).
% 2.63/2.89 tff(9298,plain,
% 2.63/2.89 ((~r(s(s(z)), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9297, 17, 9090, 9266, 9291])).
% 2.63/2.89 tff(9299,plain,
% 2.63/2.89 (~r(s(s(z)), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9298, 9289])).
% 2.63/2.89 tff(9300,plain,
% 2.63/2.89 (b(s(s(z)), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[195, 9299])).
% 2.63/2.89 tff(9301,plain,
% 2.63/2.89 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(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(z))))) <=> ((~b(s(s(z)), 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))))),
% 2.63/2.89 inference(rewrite,[status(thm)],[])).
% 2.63/2.89 tff(9302,plain,
% 2.63/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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)))))),
% 2.63/2.89 inference(monotonicity,[status(thm)],[9301])).
% 2.63/2.89 tff(9303,plain,
% 2.63/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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))))),
% 2.63/2.89 inference(transitivity,[status(thm)],[9302, 7564])).
% 2.63/2.89 tff(9304,plain,
% 2.63/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), s(s(z)))) | (~b(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(z)))))),
% 2.63/2.89 inference(quant_inst,[status(thm)],[])).
% 2.63/2.89 tff(9305,plain,
% 2.63/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 2.63/2.89 inference(modus_ponens,[status(thm)],[9304, 9303])).
% 2.63/2.89 tff(9306,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9305, 102, 9280, 9278, 9268, 9300])).
% 2.63/2.89 tff(9307,plain,(b(s(s(s(s(s(s(z)))))), z) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9308,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9307, 59, 90, 343])).
% 2.63/2.89 tff(9309,plain,
% 2.63/2.89 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9102, 9308, 9089])).
% 2.63/2.89 tff(9310,plain,
% 2.63/2.89 (r(z, s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[538, 9309])).
% 2.63/2.89 tff(9311,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8940, 3, 9227, 9310, 90])).
% 2.63/2.89 tff(9312,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[279, 9311])).
% 2.63/2.89 tff(9313,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[594, 64, 90, 9227, 9310])).
% 2.63/2.89 tff(9314,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[279, 9313])).
% 2.63/2.89 tff(9315,plain,
% 2.63/2.89 (~r(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1419, 65, 59, 9227])).
% 2.63/2.89 tff(9316,plain,
% 2.63/2.89 (b(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[698, 9315])).
% 2.63/2.89 tff(9317,plain,
% 2.63/2.89 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9077, 102, 9316, 7981, 343, 9308, 254])).
% 2.63/2.89 tff(9318,plain,
% 2.63/2.89 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1711, 9317])).
% 2.63/2.89 tff(9319,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1720, 9318, 90, 9227])).
% 2.63/2.89 tff(9320,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[232, 9319])).
% 2.63/2.89 tff(9321,plain,
% 2.63/2.89 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1738, 9320, 343, 9316])).
% 2.63/2.89 tff(9322,plain,
% 2.63/2.89 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3202, 9321])).
% 2.63/2.89 tff(9323,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8529, 9322, 65, 9318])).
% 2.63/2.89 tff(9324,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[496, 9323])).
% 2.63/2.89 tff(9325,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3020, 102, 9324, 254, 9089, 9320])).
% 2.63/2.89 tff(9326,plain,((~r(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9327,plain,
% 2.63/2.89 (~r(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9326, 9314, 343, 90, 59])).
% 2.63/2.89 tff(9328,plain,
% 2.63/2.89 (b(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1392, 9327])).
% 2.63/2.89 tff(9329,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[594, 64, 90, 2, 9104])).
% 2.63/2.89 tff(9330,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[279, 9329])).
% 2.63/2.89 tff(9331,plain,
% 2.63/2.89 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1786, 8866, 90, 343, 4, 393, 56, 2])).
% 2.63/2.89 tff(9332,plain,
% 2.63/2.89 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3202, 9331])).
% 2.63/2.89 tff(9333,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3747, 9332, 393, 64, 3])).
% 2.63/2.89 tff(9334,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[496, 9333])).
% 2.63/2.89 tff(9335,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3020, 102, 9334, 9330, 60, 8866])).
% 2.63/2.89 tff(9336,plain,((~r(s(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(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9337,plain,
% 2.63/2.89 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9336, 64, 393, 9089, 90, 343, 9308, 9328, 9227])).
% 2.63/2.89 tff(9338,plain,
% 2.63/2.89 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1711, 9337])).
% 2.63/2.89 tff(9339,plain,
% 2.63/2.89 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[2442, 9338, 9089, 9314])).
% 2.63/2.89 tff(9340,plain,
% 2.63/2.89 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[496, 9339])).
% 2.63/2.89 tff(9341,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[566, 9340, 90, 9227, 9310])).
% 2.63/2.89 tff(9342,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[232, 9341])).
% 2.63/2.89 tff(9343,plain,
% 2.63/2.89 (~b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1786, 9342, 90, 343, 9308, 393, 9328, 9227])).
% 2.63/2.89 tff(9344,plain,
% 2.63/2.89 (r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3202, 9343])).
% 2.63/2.89 tff(9345,plain,
% 2.63/2.89 (~b(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[5897, 9340, 343, 9227, 9328, 9310, 9338])).
% 2.63/2.89 tff(9346,plain,
% 2.63/2.89 (r(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[698, 9345])).
% 2.63/2.89 tff(9347,plain,
% 2.63/2.89 (~r(s(s(z)), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[856, 9346, 393, 9340])).
% 2.63/2.89 tff(9348,plain,
% 2.63/2.89 (b(s(s(z)), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[195, 9347])).
% 2.63/2.89 tff(9349,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3553, 9348, 9344, 90, 9308, 9227, 9310, 64, 9089, 9340])).
% 2.63/2.89 tff(9350,plain,((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9351,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9350, 393, 90, 343, 59])).
% 2.63/2.89 tff(9352,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[361, 9351])).
% 2.63/2.89 tff(9353,plain,
% 2.63/2.89 ((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8516, 7981])).
% 2.63/2.89 tff(9354,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9353, 9352, 9089, 9227, 9308])).
% 2.63/2.89 tff(9355,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[496, 9354])).
% 2.63/2.89 tff(9356,plain,
% 2.63/2.89 (~r(z, s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[6958, 62, 393, 9310, 9227])).
% 2.63/2.89 tff(9357,plain,
% 2.63/2.89 (b(z, s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[88, 9356])).
% 2.63/2.89 tff(9358,plain,
% 2.63/2.89 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8940, 62, 9227, 9310, 90])).
% 2.63/2.89 tff(9359,plain,
% 2.63/2.89 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1711, 9358])).
% 2.63/2.89 tff(9360,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3257, 1884, 4976, 343, 57])).
% 2.63/2.89 tff(9361,plain,((~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9362,plain,
% 2.63/2.89 (~r(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9361, 9359, 343, 59, 9310, 62, 9227])).
% 2.63/2.89 tff(9363,plain,
% 2.63/2.89 (b(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1392, 9362])).
% 2.63/2.89 tff(9364,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1256, 102, 9355, 9363, 343, 9359, 9089, 9357])).
% 2.63/2.89 tff(9365,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9366,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9365, 393, 59, 343, 90])).
% 2.63/2.89 tff(9367,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[279, 9366])).
% 2.63/2.89 tff(9368,plain,
% 2.63/2.89 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3926, 9367, 9355, 9352])).
% 2.63/2.89 tff(9369,plain,
% 2.63/2.89 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1711, 9368])).
% 2.63/2.89 tff(9370,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1720, 9369, 90, 9227])).
% 2.63/2.89 tff(9371,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[232, 9370])).
% 2.63/2.89 tff(9372,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3020, 102, 9355, 9367, 9089, 9371])).
% 2.63/2.89 tff(9373,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9374,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9373, 59, 90, 343])).
% 2.63/2.89 tff(9375,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[409, 9374])).
% 2.63/2.89 tff(9376,plain,
% 2.63/2.89 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3737, 9375, 343, 9089])).
% 2.63/2.89 tff(9377,plain,
% 2.63/2.89 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[165, 9376])).
% 2.63/2.89 tff(9378,plain,
% 2.63/2.89 (~r(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9326, 9312, 343, 90, 59])).
% 2.63/2.89 tff(9379,plain,
% 2.63/2.89 (b(s(s(z)), z)),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1392, 9378])).
% 2.63/2.89 tff(9380,plain,
% 2.63/2.89 (~r(z, s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[6874, 5, 2, 167, 9104])).
% 2.63/2.89 tff(9381,plain,
% 2.63/2.89 (b(z, s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[88, 9380])).
% 2.63/2.89 tff(9382,plain,
% 2.63/2.89 (~b(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8016, 9381, 56, 343])).
% 2.63/2.89 tff(9383,plain,
% 2.63/2.89 (r(s(z), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[698, 9382])).
% 2.63/2.89 tff(9384,plain,
% 2.63/2.89 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9353, 5, 60, 2, 4])).
% 2.63/2.89 tff(9385,plain,
% 2.63/2.89 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[361, 9384])).
% 2.63/2.89 tff(9386,plain,
% 2.63/2.89 ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[8506, 7981])).
% 2.63/2.89 tff(9387,plain,
% 2.63/2.89 (~r(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9386, 9381, 59, 4, 3, 5, 9385])).
% 2.63/2.89 tff(9388,plain,
% 2.63/2.89 (b(s(z), s(s(s(s(s(z))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3202, 9387])).
% 2.63/2.89 tff(9389,plain,
% 2.63/2.89 (~b(s(s(z)), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3531, 9381, 60, 4, 254, 197])).
% 2.63/2.89 tff(9390,plain,
% 2.63/2.89 (r(s(s(z)), s(z))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[195, 9389])).
% 2.63/2.89 tff(9391,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1248, 9390, 9388, 343, 2, 9104, 5, 9383])).
% 2.63/2.89 tff(9392,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9393,plain,
% 2.63/2.89 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9392, 9379, 9227, 343, 9089, 9308, 9312, 9229, 59, 3, 9377])).
% 2.63/2.89 tff(9394,plain,
% 2.63/2.89 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[496, 9393])).
% 2.63/2.89 tff(9395,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[3020, 102, 9394, 9312, 9089, 9229])).
% 2.63/2.89 tff(9396,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.63/2.89 tff(9397,plain,
% 2.63/2.89 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[9396, 59, 343, 90])).
% 2.63/2.89 tff(9398,plain,
% 2.63/2.89 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1711, 9397])).
% 2.63/2.89 tff(9399,plain,
% 2.63/2.89 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[1040, 5, 2, 9104])).
% 2.63/2.89 tff(9400,plain,
% 2.63/2.89 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[279, 9399])).
% 2.63/2.89 tff(9401,plain,
% 2.63/2.89 ($false),
% 2.63/2.89 inference(unit_resolution,[status(thm)],[4161, 102, 343, 4, 57, 9400, 60, 9381])).
% 2.63/2.89 tff(9402,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(z), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9403,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9402, 9308, 343, 9398, 9089, 9227, 9377])).
% 2.73/2.90 tff(9404,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[496, 9403])).
% 2.73/2.90 tff(9405,plain,
% 2.73/2.90 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2442, 9404, 9089, 9398])).
% 2.73/2.90 tff(9406,plain,
% 2.73/2.90 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[279, 9405])).
% 2.73/2.90 tff(9407,plain,
% 2.73/2.90 (~r(s(s(z)), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9361, 9406, 343, 59, 9310, 9398, 9227])).
% 2.73/2.90 tff(9408,plain,
% 2.73/2.90 (b(s(s(z)), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1392, 9407])).
% 2.73/2.90 tff(9409,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1256, 102, 498, 56, 343, 57, 60, 382])).
% 2.73/2.90 tff(9410,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9411,plain,
% 2.73/2.90 (~b(z, s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9410, 9404, 9408, 343, 9398, 9089])).
% 2.73/2.90 tff(9412,plain,
% 2.73/2.90 (r(z, s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[88, 9411])).
% 2.73/2.90 tff(9413,plain,
% 2.73/2.90 (~r(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[8844, 9412, 90, 9227, 59])).
% 2.73/2.90 tff(9414,plain,
% 2.73/2.90 (b(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[698, 9413])).
% 2.73/2.90 tff(9415,plain,
% 2.73/2.90 (~r(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[578, 9412, 9227, 9310, 9377])).
% 2.73/2.90 tff(9416,plain,
% 2.73/2.90 (b(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[195, 9415])).
% 2.73/2.90 tff(9417,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3257, 9416, 9414, 343, 9398])).
% 2.73/2.90 tff(9418,plain,((~r(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9419,plain,
% 2.73/2.90 (~r(s(z), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9418, 343, 90])).
% 2.73/2.90 tff(9420,plain,
% 2.73/2.90 (b(s(z), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[380, 9419])).
% 2.73/2.90 tff(9421,plain,
% 2.73/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.90 inference(rewrite,[status(thm)],[])).
% 2.73/2.90 tff(9422,plain,
% 2.73/2.90 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, 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(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.90 inference(rewrite,[status(thm)],[])).
% 2.73/2.90 tff(9423,plain,
% 2.73/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.73/2.90 inference(monotonicity,[status(thm)],[9422])).
% 2.73/2.90 tff(9424,plain,
% 2.73/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.90 inference(transitivity,[status(thm)],[9423, 9421])).
% 2.73/2.90 tff(9425,plain,
% 2.73/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.73/2.90 inference(quant_inst,[status(thm)],[])).
% 2.73/2.90 tff(9426,plain,
% 2.73/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))),
% 2.73/2.90 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 2.73/2.90 tff(9427,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9426, 102, 7981, 66, 168, 343, 363])).
% 2.73/2.90 tff(9428,plain,((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9429,plain,
% 2.73/2.90 (~b(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9428, 66, 343, 9420])).
% 2.73/2.90 tff(9430,plain,
% 2.73/2.90 (r(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[195, 9429])).
% 2.73/2.90 tff(9431,plain,
% 2.73/2.90 ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[8387, 7981])).
% 2.73/2.90 tff(9432,plain,
% 2.73/2.90 (~b(z, s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9431, 9420, 343])).
% 2.73/2.90 tff(9433,plain,
% 2.73/2.90 (r(z, s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[88, 9432])).
% 2.73/2.90 tff(9434,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2687, 62, 9433, 9430, 9098])).
% 2.73/2.90 tff(9435,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[252, 9434])).
% 2.73/2.90 tff(9436,plain,
% 2.73/2.90 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9019, 17, 9098, 62, 90, 305])).
% 2.73/2.90 tff(9437,plain,
% 2.73/2.90 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[232, 9436])).
% 2.73/2.90 tff(9438,plain,
% 2.73/2.90 (~b(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[8661, 9437, 343, 57])).
% 2.73/2.90 tff(9439,plain,
% 2.73/2.90 (r(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[698, 9438])).
% 2.73/2.90 tff(9440,plain,
% 2.73/2.90 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2617, 9437, 66, 57, 90])).
% 2.73/2.90 tff(9441,plain,
% 2.73/2.90 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[496, 9440])).
% 2.73/2.90 tff(9442,plain,
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% 2.73/2.90 inference(unit_resolution,[status(thm)],[856, 9441, 9430, 9439])).
% 2.73/2.90 tff(9443,plain,
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% 2.73/2.90 inference(unit_resolution,[status(thm)],[409, 9442])).
% 2.73/2.90 tff(9444,plain,
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% 2.73/2.90 inference(unit_resolution,[status(thm)],[4576, 9443, 9420, 9435])).
% 2.73/2.90 tff(9445,plain,
% 2.73/2.90 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[538, 9444])).
% 2.73/2.90 tff(9446,plain,
% 2.73/2.90 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[4594, 9443, 9420, 66, 9435, 9437])).
% 2.73/2.90 tff(9447,plain,
% 2.73/2.90 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[361, 9446])).
% 2.73/2.90 tff(9448,plain,
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% 2.73/2.90 inference(unit_resolution,[status(thm)],[7983, 9447, 9445, 90, 305])).
% 2.73/2.90 tff(9449,plain,((~r(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(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9450,plain,
% 2.73/2.90 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9449, 57, 305, 66, 343, 90])).
% 2.73/2.90 tff(9451,plain,
% 2.73/2.90 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[279, 9450])).
% 2.73/2.90 tff(9452,plain,
% 2.73/2.90 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[8679, 9451, 66, 343, 57])).
% 2.73/2.90 tff(9453,plain,
% 2.73/2.90 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[409, 9452])).
% 2.73/2.90 tff(9454,plain,
% 2.73/2.90 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3926, 498, 57, 254])).
% 2.73/2.90 tff(9455,plain,
% 2.73/2.90 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[361, 9454])).
% 2.73/2.90 tff(9456,plain,
% 2.73/2.90 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1983, 498, 66, 254])).
% 2.73/2.90 tff(9457,plain,
% 2.73/2.90 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[538, 9456])).
% 2.73/2.90 tff(9458,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[7983, 9457, 9455, 90, 305])).
% 2.73/2.90 tff(9459,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9460,plain,
% 2.73/2.90 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9459, 9451, 305, 66, 90, 57])).
% 2.73/2.90 tff(9461,plain,
% 2.73/2.90 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[496, 9460])).
% 2.73/2.90 tff(9462,plain,
% 2.73/2.90 (~r(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[856, 9461, 9430, 9453])).
% 2.73/2.90 tff(9463,plain,
% 2.73/2.90 (b(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[698, 9462])).
% 2.73/2.90 tff(9464,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[7695, 9461, 9433, 9453, 9098])).
% 2.73/2.90 tff(9465,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[252, 9464])).
% 2.73/2.90 tff(9466,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2946, 9465, 9463, 9420, 66, 9451])).
% 2.73/2.90 tff(9467,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(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(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9468,plain,
% 2.73/2.90 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9467, 66, 305, 90, 343])).
% 2.73/2.90 tff(9469,plain,
% 2.73/2.90 (r(s(s(s(s(s(z))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1711, 9468])).
% 2.73/2.90 tff(9470,plain,
% 2.73/2.90 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2100, 5, 305, 9469])).
% 2.73/2.90 tff(9471,plain,
% 2.73/2.90 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[279, 9470])).
% 2.73/2.90 tff(9472,plain,
% 2.73/2.90 (~r(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[8529, 65, 5, 3])).
% 2.73/2.90 tff(9473,plain,
% 2.73/2.90 (b(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3202, 9472])).
% 2.73/2.90 tff(9474,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[7695, 65, 68, 63, 5])).
% 2.73/2.90 tff(9475,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[409, 9474])).
% 2.73/2.90 tff(9476,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1520, 9475, 9473, 343, 364])).
% 2.73/2.90 tff(9477,plain,((~r(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(z, 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(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9478,plain,
% 2.73/2.90 (~r(s(s(z)), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9477, 8533, 343, 9433, 63, 5, 3])).
% 2.73/2.90 tff(9479,plain,
% 2.73/2.90 (b(s(s(z)), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1392, 9478])).
% 2.73/2.90 tff(9480,plain,
% 2.73/2.90 (~b(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2972, 9479, 9420, 66])).
% 2.73/2.90 tff(9481,plain,
% 2.73/2.90 (r(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[698, 9480])).
% 2.73/2.90 tff(9482,plain,
% 2.73/2.90 (~b(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2736, 9479, 9420, 66])).
% 2.73/2.90 tff(9483,plain,
% 2.73/2.90 (r(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[195, 9482])).
% 2.73/2.90 tff(9484,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[856, 9483, 5, 9481])).
% 2.73/2.90 tff(9485,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[409, 9484])).
% 2.73/2.90 tff(9486,plain,
% 2.73/2.90 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2100, 5, 305, 3])).
% 2.73/2.90 tff(9487,plain,
% 2.73/2.90 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[279, 9486])).
% 2.73/2.90 tff(9488,plain,
% 2.73/2.90 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[8609, 9479, 8533, 9487])).
% 2.73/2.90 tff(9489,plain,
% 2.73/2.90 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[538, 9488])).
% 2.73/2.90 tff(9490,plain,
% 2.73/2.90 (~r(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[4219, 9489, 90, 9433, 305])).
% 2.73/2.90 tff(9491,plain,
% 2.73/2.90 (b(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3202, 9490])).
% 2.73/2.90 tff(9492,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1520, 9491, 9485, 343, 8533])).
% 2.73/2.90 tff(9493,plain,((~r(s(s(s(s(s(s(z)))))), 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))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9494,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9493, 5, 90, 305, 66, 9469, 343])).
% 2.73/2.90 tff(9495,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[252, 9494])).
% 2.73/2.90 tff(9496,plain,
% 2.73/2.90 (~b(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2946, 9495, 9420, 66, 9471])).
% 2.73/2.90 tff(9497,plain,
% 2.73/2.90 (r(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[698, 9496])).
% 2.73/2.90 tff(9498,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[856, 9497, 9430, 5])).
% 2.73/2.90 tff(9499,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[409, 9498])).
% 2.73/2.90 tff(9500,plain,
% 2.73/2.90 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2034, 9495, 66, 9471])).
% 2.73/2.90 tff(9501,plain,
% 2.73/2.90 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[538, 9500])).
% 2.73/2.90 tff(9502,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[7983, 9501, 90, 305])).
% 2.73/2.90 tff(9503,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[361, 9502])).
% 2.73/2.90 tff(9504,plain,
% 2.73/2.90 (~r(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[4219, 9501, 90, 9433, 305])).
% 2.73/2.90 tff(9505,plain,
% 2.73/2.90 (b(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3202, 9504])).
% 2.73/2.90 tff(9506,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1520, 9505, 9503, 343, 9499])).
% 2.73/2.90 tff(9507,plain,((~r(s(s(s(s(s(s(z)))))), 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))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9508,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9507, 66, 90, 305, 343])).
% 2.73/2.90 tff(9509,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[496, 9508])).
% 2.73/2.90 tff(9510,plain,
% 2.73/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.90 inference(rewrite,[status(thm)],[])).
% 2.73/2.90 tff(9511,plain,
% 2.73/2.90 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, 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(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.90 inference(rewrite,[status(thm)],[])).
% 2.73/2.90 tff(9512,plain,
% 2.73/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.73/2.90 inference(monotonicity,[status(thm)],[9511])).
% 2.73/2.90 tff(9513,plain,
% 2.73/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.90 inference(transitivity,[status(thm)],[9512, 9510])).
% 2.73/2.90 tff(9514,plain,
% 2.73/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 2.73/2.90 inference(quant_inst,[status(thm)],[])).
% 2.73/2.90 tff(9515,plain,
% 2.73/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))),
% 2.73/2.90 inference(modus_ponens,[status(thm)],[9514, 9513])).
% 2.73/2.90 tff(9516,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9515, 102, 7981, 66, 56, 343, 363])).
% 2.73/2.90 tff(9517,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9518,plain,
% 2.73/2.90 (~b(s(s(z)), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9517, 66, 343, 9420])).
% 2.73/2.90 tff(9519,plain,
% 2.73/2.90 (r(s(s(z)), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1392, 9518])).
% 2.73/2.90 tff(9520,plain,
% 2.73/2.90 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9019, 17, 65, 62, 90, 305])).
% 2.73/2.90 tff(9521,plain,
% 2.73/2.90 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[232, 9520])).
% 2.73/2.90 tff(9522,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[2687, 62, 68, 234, 65])).
% 2.73/2.90 tff(9523,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[252, 9522])).
% 2.73/2.90 tff(9524,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9027, 102, 7981, 66, 498, 9523, 9521])).
% 2.73/2.90 tff(9525,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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(z, s(z))) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9526,plain,
% 2.73/2.90 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9525, 66, 9509, 9519, 90, 305, 9433, 9430])).
% 2.73/2.90 tff(9527,plain,
% 2.73/2.90 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[279, 9526])).
% 2.73/2.90 tff(9528,plain,
% 2.73/2.90 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1983, 9527, 66, 9509])).
% 2.73/2.90 tff(9529,plain,
% 2.73/2.90 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[538, 9528])).
% 2.73/2.90 tff(9530,plain,
% 2.73/2.90 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[7983, 9529, 90, 305])).
% 2.73/2.90 tff(9531,plain,
% 2.73/2.90 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[361, 9530])).
% 2.73/2.90 tff(9532,plain,
% 2.73/2.90 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3897, 9531, 343, 9420, 66, 9509])).
% 2.73/2.90 tff(9533,plain,
% 2.73/2.90 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[409, 9532])).
% 2.73/2.90 tff(9534,plain,
% 2.73/2.90 (((~![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(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(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(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(s(s(s(s(s(s(z)))))), s(z))))),
% 2.73/2.90 inference(rewrite,[status(thm)],[])).
% 2.73/2.90 tff(9535,plain,
% 2.73/2.90 (((~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(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(s(s(s(s(s(s(z)))))), s(z))))),
% 2.73/2.90 inference(rewrite,[status(thm)],[])).
% 2.73/2.90 tff(9536,plain,
% 2.73/2.90 (((~![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(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(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(s(s(s(s(s(s(z)))))), s(z)))))),
% 2.73/2.90 inference(monotonicity,[status(thm)],[9535])).
% 2.73/2.90 tff(9537,plain,
% 2.73/2.90 (((~![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(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(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(s(s(s(s(s(s(z)))))), s(z))))),
% 2.73/2.90 inference(transitivity,[status(thm)],[9536, 9534])).
% 2.73/2.90 tff(9538,plain,
% 2.73/2.90 ((~![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(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))))))))),
% 2.73/2.90 inference(quant_inst,[status(thm)],[])).
% 2.73/2.90 tff(9539,plain,
% 2.73/2.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(z)))),
% 2.73/2.90 inference(modus_ponens,[status(thm)],[9538, 9537])).
% 2.73/2.90 tff(9540,plain,
% 2.73/2.90 ($false),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9539, 17, 9533, 9433, 9529, 90, 305])).
% 2.73/2.90 tff(9541,plain,((~b(z, 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(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.90 tff(9542,plain,
% 2.73/2.90 (~b(z, s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[9541, 305, 90, 343])).
% 2.73/2.90 tff(9543,plain,
% 2.73/2.90 (r(z, s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[122, 9542])).
% 2.73/2.90 tff(9544,plain,
% 2.73/2.90 (~r(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3221, 3, 90, 9433, 2])).
% 2.73/2.90 tff(9545,plain,
% 2.73/2.90 (b(s(z), s(s(s(s(s(z))))))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[3202, 9544])).
% 2.73/2.90 tff(9546,plain,
% 2.73/2.90 (~b(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1748, 9545, 343, 8866])).
% 2.73/2.90 tff(9547,plain,
% 2.73/2.90 (r(s(s(z)), s(z))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[195, 9546])).
% 2.73/2.90 tff(9548,plain,
% 2.73/2.90 (~b(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[1738, 8866, 343, 9545])).
% 2.73/2.90 tff(9549,plain,
% 2.73/2.90 (r(s(z), s(s(z)))),
% 2.73/2.90 inference(unit_resolution,[status(thm)],[698, 9548])).
% 2.73/2.91 tff(9550,plain,
% 2.73/2.91 ($false),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[976, 9549, 9547, 9433, 2])).
% 2.73/2.91 tff(9551,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.91 tff(9552,plain,
% 2.73/2.91 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9551, 9543, 343, 90])).
% 2.73/2.91 tff(9553,plain,
% 2.73/2.91 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[1711, 9552])).
% 2.73/2.91 tff(9554,plain,
% 2.73/2.91 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[8754, 1, 90, 305, 2, 57])).
% 2.73/2.91 tff(9555,plain,
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% 2.73/2.91 inference(unit_resolution,[status(thm)],[361, 9554, 8146])).
% 2.73/2.91 tff(9556,plain,((~r(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)))))))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.91 tff(9557,plain,
% 2.73/2.91 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9556, 305, 90, 9543, 9553])).
% 2.73/2.91 tff(9558,plain,
% 2.73/2.91 (b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[538, 9557])).
% 2.73/2.91 tff(9559,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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))))), z)) | (~b(s(s(s(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9560,plain,
% 2.73/2.91 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), 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(z), 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9561,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.73/2.91 inference(monotonicity,[status(thm)],[9560])).
% 2.73/2.91 tff(9562,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.91 inference(transitivity,[status(thm)],[9561, 9559])).
% 2.73/2.91 tff(9563,plain,
% 2.73/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), 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))))),
% 2.73/2.91 inference(quant_inst,[status(thm)],[])).
% 2.73/2.91 tff(9564,plain,
% 2.73/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.73/2.91 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 2.73/2.91 tff(9565,plain,
% 2.73/2.91 ($false),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9564, 102, 7981, 498, 343, 57, 124, 363])).
% 2.73/2.91 tff(9566,plain,((~b(s(s(s(s(s(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(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.91 tff(9567,plain,
% 2.73/2.91 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9566, 9558, 9553, 343, 9420])).
% 2.73/2.91 tff(9568,plain,
% 2.73/2.91 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[496, 9567])).
% 2.73/2.91 tff(9569,plain,
% 2.73/2.91 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[1140, 5, 90, 305, 9543])).
% 2.73/2.91 tff(9570,plain,
% 2.73/2.91 (b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[538, 9569])).
% 2.73/2.91 tff(9571,plain,
% 2.73/2.91 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[262, 56, 124, 254])).
% 2.73/2.91 tff(9572,plain,
% 2.73/2.91 (r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[252, 9571])).
% 2.73/2.91 tff(9573,plain,
% 2.73/2.91 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[8609, 56, 124, 254])).
% 2.73/2.91 tff(9574,plain,
% 2.73/2.91 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[361, 9573])).
% 2.73/2.91 tff(9575,plain,
% 2.73/2.91 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[7993, 9574, 90, 5, 9572])).
% 2.73/2.91 tff(9576,plain,
% 2.73/2.91 (b(s(s(s(s(s(z))))), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[1711, 9575])).
% 2.73/2.91 tff(9577,plain,
% 2.73/2.91 (~b(s(z), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[3257, 168, 343, 57])).
% 2.73/2.91 tff(9578,plain,
% 2.73/2.91 (r(s(z), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[698, 9577])).
% 2.73/2.91 tff(9579,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9580,plain,
% 2.73/2.91 (((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), 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(z)), s(z))) | (~b(s(z), 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(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9581,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), 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(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 2.73/2.91 inference(monotonicity,[status(thm)],[9580])).
% 2.73/2.91 tff(9582,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), 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(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.91 inference(transitivity,[status(thm)],[9581, 9579])).
% 2.73/2.91 tff(9583,plain,
% 2.73/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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))))))))),
% 2.73/2.91 inference(quant_inst,[status(thm)],[])).
% 2.73/2.91 tff(9584,plain,
% 2.73/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.73/2.91 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 2.73/2.91 tff(9585,plain,
% 2.73/2.91 ((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9584, 102, 343, 124, 254, 9420])).
% 2.73/2.91 tff(9586,plain,
% 2.73/2.91 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9585, 168])).
% 2.73/2.91 tff(9587,plain,
% 2.73/2.91 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[232, 9586])).
% 2.73/2.91 tff(9588,plain,
% 2.73/2.91 ($false),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[3291, 9587, 9578, 90, 9433, 2])).
% 2.73/2.91 tff(9589,plain,((~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~b(s(s(s(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(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.91 tff(9590,plain,
% 2.73/2.91 (~b(s(s(z)), s(z))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9589, 9576, 2, 343, 124, 254, 90])).
% 2.73/2.91 tff(9591,plain,
% 2.73/2.91 (r(s(s(z)), s(z))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[195, 9590])).
% 2.73/2.91 tff(9592,plain,
% 2.73/2.91 (~r(s(z), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[976, 9591, 9433, 2])).
% 2.73/2.91 tff(9593,plain,
% 2.73/2.91 (b(s(z), s(s(z)))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[698, 9592])).
% 2.73/2.91 tff(9594,plain,
% 2.73/2.91 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[8661, 9593, 343, 9576])).
% 2.73/2.91 tff(9595,plain,
% 2.73/2.91 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[232, 9594])).
% 2.73/2.91 tff(9596,plain,
% 2.73/2.91 (((~![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(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9597,plain,
% 2.73/2.91 (((~r(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, 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(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9598,plain,
% 2.73/2.91 (((~![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(z)), s(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))))),
% 2.73/2.91 inference(monotonicity,[status(thm)],[9597])).
% 2.73/2.91 tff(9599,plain,
% 2.73/2.91 (((~![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(z)), s(z))) | (~r(z, 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(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.91 inference(transitivity,[status(thm)],[9598, 9596])).
% 2.73/2.91 tff(9600,plain,
% 2.73/2.91 ((~![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(z)), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.91 inference(quant_inst,[status(thm)],[])).
% 2.73/2.91 tff(9601,plain,
% 2.73/2.91 ((~![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(z)), s(z))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z))))))),
% 2.73/2.91 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 2.73/2.91 tff(9602,plain,
% 2.73/2.91 (~r(z, s(s(s(s(z)))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[9601, 17, 234, 68, 2, 4477])).
% 2.73/2.91 tff(9603,plain,
% 2.73/2.91 (b(z, s(s(s(s(z)))))),
% 2.73/2.91 inference(unit_resolution,[status(thm)],[54, 9602])).
% 2.73/2.91 tff(9604,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, 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(X0, 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))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9605,plain,
% 2.73/2.91 (((~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(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))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.91 inference(rewrite,[status(thm)],[])).
% 2.73/2.91 tff(9606,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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(X0, 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))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.73/2.91 inference(monotonicity,[status(thm)],[9605])).
% 2.73/2.91 tff(9607,plain,
% 2.73/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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(X0, 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))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.91 inference(transitivity,[status(thm)],[9606, 9604])).
% 2.73/2.91 tff(9608,plain,
% 2.73/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.73/2.92 inference(quant_inst,[status(thm)],[])).
% 2.73/2.92 tff(9609,plain,
% 2.73/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.73/2.92 inference(modus_ponens,[status(thm)],[9608, 9607])).
% 2.73/2.92 tff(9610,plain,
% 2.73/2.92 ($false),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9609, 102, 7981, 56, 343, 57, 2300, 3411])).
% 2.73/2.92 tff(9611,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.92 tff(9612,plain,
% 2.73/2.92 (~b(s(s(s(s(z)))), s(z))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9611, 9603, 343, 57, 56])).
% 2.73/2.92 tff(9613,plain,
% 2.73/2.92 (r(s(s(s(s(z)))), s(z))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[1573, 9612])).
% 2.73/2.92 tff(9614,plain,
% 2.73/2.92 (~r(s(s(s(s(z)))), z)),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[7164, 17, 234, 2, 9613, 4477])).
% 2.73/2.92 tff(9615,plain,
% 2.73/2.92 (b(s(s(s(s(z)))), z)),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[2083, 9614])).
% 2.73/2.92 tff(9616,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), 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(X0, 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(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9617,plain,
% 2.73/2.92 (((~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(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(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9618,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.73/2.92 inference(monotonicity,[status(thm)],[9617])).
% 2.73/2.92 tff(9619,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.73/2.92 inference(transitivity,[status(thm)],[9618, 9616])).
% 2.73/2.92 tff(9620,plain,
% 2.73/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 2.73/2.92 inference(quant_inst,[status(thm)],[])).
% 2.73/2.92 tff(9621,plain,
% 2.73/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.73/2.92 inference(modus_ponens,[status(thm)],[9620, 9619])).
% 2.73/2.92 tff(9622,plain,
% 2.73/2.92 ($false),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9621, 102, 7981, 56, 57, 9603, 9615])).
% 2.73/2.92 tff(9623,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.92 tff(9624,plain,
% 2.73/2.92 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9623, 56, 9576, 9591, 2, 343, 9433])).
% 2.73/2.92 tff(9625,plain,
% 2.73/2.92 (b(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[2048, 9624])).
% 2.73/2.92 tff(9626,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9627,plain,
% 2.73/2.92 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), 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(z), z)) | (~b(s(z), 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(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9628,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.73/2.92 inference(monotonicity,[status(thm)],[9627])).
% 2.73/2.92 tff(9629,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.92 inference(transitivity,[status(thm)],[9628, 9626])).
% 2.73/2.92 tff(9630,plain,
% 2.73/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.73/2.92 inference(quant_inst,[status(thm)],[])).
% 2.73/2.92 tff(9631,plain,
% 2.73/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.92 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 2.73/2.92 tff(9632,plain,
% 2.73/2.92 ($false),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9631, 102, 92, 7981, 3411, 91, 363, 1588])).
% 2.73/2.92 tff(9633,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.92 tff(9634,plain,
% 2.73/2.92 (~b(z, s(s(s(s(z)))))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9633, 1588, 91, 9420, 92])).
% 2.73/2.92 tff(9635,plain,
% 2.73/2.92 (r(z, s(s(s(s(z)))))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[54, 9634])).
% 2.73/2.92 tff(9636,plain,
% 2.73/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, 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(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(z))) | (~r(z, 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(s(s(s(s(z)))), s(z))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9637,plain,
% 2.73/2.92 (((~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(z))) | (~r(z, 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(s(s(s(s(z)))), s(z))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9638,plain,
% 2.73/2.92 (((~![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(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(z))) | (~r(z, 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(s(s(s(s(z)))), s(z)))))),
% 2.73/2.92 inference(monotonicity,[status(thm)],[9637])).
% 2.73/2.92 tff(9639,plain,
% 2.73/2.92 (((~![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(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(z))) | (~r(z, 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(s(s(s(s(z)))), s(z))))),
% 2.73/2.92 inference(transitivity,[status(thm)],[9638, 9636])).
% 2.73/2.92 tff(9640,plain,
% 2.73/2.92 ((~![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(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))))))))),
% 2.73/2.92 inference(quant_inst,[status(thm)],[])).
% 2.73/2.92 tff(9641,plain,
% 2.73/2.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.73/2.92 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 2.73/2.92 tff(9642,plain,
% 2.73/2.92 ($false),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9641, 17, 68, 90, 4318, 2926, 7])).
% 2.73/2.92 tff(9643,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~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))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.92 tff(9644,plain,
% 2.73/2.92 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9643, 2926, 90, 68, 7])).
% 2.73/2.92 tff(9645,plain,
% 2.73/2.92 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[2114, 9644])).
% 2.73/2.92 tff(9646,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(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(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9647,plain,
% 2.73/2.92 (((~b(s(s(z)), z)) | (~b(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(z), z)) | (~b(s(s(z)), 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(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9648,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))))),
% 2.73/2.92 inference(monotonicity,[status(thm)],[9647])).
% 2.73/2.92 tff(9649,plain,
% 2.73/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.73/2.92 inference(transitivity,[status(thm)],[9648, 9646])).
% 2.73/2.92 tff(9650,plain,
% 2.73/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.73/2.92 inference(quant_inst,[status(thm)],[])).
% 2.73/2.92 tff(9651,plain,
% 2.73/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), s(s(s(s(z))))))),
% 2.73/2.92 inference(modus_ponens,[status(thm)],[9650, 9649])).
% 2.73/2.92 tff(9652,plain,
% 2.73/2.92 (~b(s(z), s(s(s(s(z)))))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9651, 102, 56, 9645, 91, 363, 1588])).
% 2.73/2.92 tff(9653,plain,
% 2.73/2.92 ((s(z) = s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[4276, 49, 9652])).
% 2.73/2.92 tff(9654,plain,
% 2.73/2.92 (r(s(z), s(s(s(s(z)))))),
% 2.73/2.92 inference(unit_resolution,[status(thm)],[9653, 4043])).
% 2.73/2.92 tff(9655,plain,
% 2.73/2.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))))) <=> ((~![X0: $i, 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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9656,plain,
% 2.73/2.92 (((~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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.73/2.92 inference(rewrite,[status(thm)],[])).
% 2.73/2.92 tff(9657,plain,
% 2.73/2.92 (((~![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(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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[9656])).
% 2.73/2.93 tff(9658,plain,
% 2.73/2.93 (((~![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)))), 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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.73/2.93 inference(transitivity,[status(thm)],[9657, 9655])).
% 2.73/2.93 tff(9659,plain,
% 2.73/2.93 ((~![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)))), 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))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(9660,plain,
% 2.73/2.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 2.73/2.93 tff(9661,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[9660, 17, 68, 2926, 7, 9654])).
% 2.73/2.93 tff(9662,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(9663,plain,
% 2.73/2.93 (~r(s(s(s(s(z)))), s(z))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[9662, 9635, 9433, 56, 91, 9420, 1588, 90])).
% 2.73/2.93 tff(9664,plain,
% 2.73/2.93 (b(s(s(s(s(z)))), s(z))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[1573, 9663])).
% 2.73/2.93 tff(9665,plain,
% 2.73/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(z)))), s(z))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(9666,plain,
% 2.73/2.93 (((~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(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(s(z))))), s(z))) | (~b(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(z))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(9667,plain,
% 2.73/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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(z)))), s(z)))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[9666])).
% 2.73/2.93 tff(9668,plain,
% 2.73/2.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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(z)))), s(z))))),
% 2.73/2.93 inference(transitivity,[status(thm)],[9667, 9665])).
% 2.73/2.93 tff(9669,plain,
% 2.73/2.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.73/2.93 inference(quant_inst,[status(thm)],[])).
% 2.73/2.93 tff(9670,plain,
% 2.73/2.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.73/2.93 inference(modus_ponens,[status(thm)],[9669, 9668])).
% 2.73/2.93 tff(9671,plain,
% 2.73/2.93 ($false),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[9670, 102, 4759, 343, 5086, 2300, 91])).
% 2.73/2.93 tff(9672,plain,((~b(s(z), s(s(s(s(s(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))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.93 tff(9673,plain,
% 2.73/2.93 ((~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)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[9672, 7981])).
% 2.73/2.93 tff(9674,plain,
% 2.73/2.93 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[9673, 9664, 343, 91])).
% 2.73/2.93 tff(9675,plain,
% 2.73/2.93 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.73/2.93 inference(unit_resolution,[status(thm)],[2114, 9674])).
% 2.73/2.93 tff(9676,plain,
% 2.73/2.93 (((~![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)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(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)))))))) <=> ((~![X0: $i, X3: $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(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(9677,plain,
% 2.73/2.93 (((~r(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(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, 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(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.93 inference(rewrite,[status(thm)],[])).
% 2.73/2.93 tff(9678,plain,
% 2.73/2.93 (((~![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(s(z))))), s(s(s(s(z)))))) | (~r(z, 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(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(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))))))))),
% 2.73/2.93 inference(monotonicity,[status(thm)],[9677])).
% 2.73/2.93 tff(9679,plain,
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% 2.73/2.93 inference(transitivity,[status(thm)],[9678, 9676])).
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% 2.73/2.93 inference(modus_ponens,[status(thm)],[9680, 9679])).
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% 2.73/2.93 inference(unit_resolution,[status(thm)],[9681, 17, 235, 2, 90, 9675, 9635])).
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% 2.73/2.93 tff(9684,plain,
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% 2.73/2.93 inference(unit_resolution,[status(thm)],[9683, 9625, 2, 90, 343, 9595, 56, 9593])).
% 2.73/2.93 tff(9685,plain,
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% 2.73/2.93 inference(unit_resolution,[status(thm)],[3202, 9684])).
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% 2.73/2.93 tff(9688,plain,
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% 2.73/2.93 tff(9689,plain,
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% 2.73/2.93 inference(unit_resolution,[status(thm)],[1392, 9688])).
% 2.73/2.93 tff(9690,plain,
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% 2.73/2.93 inference(unit_resolution,[status(thm)],[2482, 9689, 9543, 5])).
% 2.73/2.93 tff(9691,plain,
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% 2.73/2.93 inference(unit_resolution,[status(thm)],[252, 9690])).
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% 2.73/2.93 tff(9700,plain,
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% 2.73/2.93 tff(9701,plain,
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% 2.73/2.93 tff(9707,plain,
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% 2.73/2.93 tff(9709,plain,
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% 2.73/2.93 tff(9710,plain,
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% 2.73/2.93 tff(9711,plain,
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% 2.73/2.93 tff(9713,plain,((~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~b(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,[]))).
% 2.73/2.93 tff(9714,plain,
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% 2.73/2.93 tff(9715,plain,
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% 2.73/2.93 tff(9716,plain,
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% 2.73/2.93 tff(9720,plain,
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% 2.73/2.93 tff(9723,plain,
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% 2.73/2.93 tff(9744,plain,
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% 2.73/2.94 tff(9770,plain,
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% 2.73/2.94 tff(9782,plain,
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% 2.73/2.94 tff(9785,plain,
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% 2.73/2.94 tff(9789,plain,
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% 2.73/2.94 inference(modus_ponens,[status(thm)],[9788, 9787])).
% 2.73/2.94 tff(9790,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9789, 102, 4759, 498, 168, 57, 60, 363])).
% 2.73/2.94 tff(9791,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), 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(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(9792,plain,
% 2.73/2.94 ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), 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(z), z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9791, 7981])).
% 2.73/2.94 tff(9793,plain,
% 2.73/2.94 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9792, 168, 363, 60, 57])).
% 2.73/2.94 tff(9794,plain,
% 2.73/2.94 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[496, 9793])).
% 2.73/2.94 tff(9795,plain,
% 2.73/2.94 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[3305, 168, 343, 363, 60, 57])).
% 2.73/2.94 tff(9796,plain,
% 2.73/2.94 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[538, 9795])).
% 2.73/2.94 tff(9797,plain,
% 2.73/2.94 (~b(z, s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9431, 363, 343])).
% 2.73/2.94 tff(9798,plain,
% 2.73/2.94 (r(z, s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[88, 9797])).
% 2.73/2.94 tff(9799,plain,
% 2.73/2.94 (~b(z, s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9428, 168, 343, 363])).
% 2.73/2.94 tff(9800,plain,
% 2.73/2.94 (r(z, s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[122, 9799])).
% 2.73/2.94 tff(9801,plain,
% 2.73/2.94 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[6874, 9800, 9798, 9796, 9794])).
% 2.73/2.94 tff(9802,plain,
% 2.73/2.94 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[165, 9801])).
% 2.73/2.94 tff(9803,plain,
% 2.73/2.94 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[8976, 9802, 343, 168, 57])).
% 2.73/2.94 tff(9804,plain,
% 2.73/2.94 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[1040, 9800, 9796, 9794])).
% 2.73/2.94 tff(9805,plain,
% 2.73/2.94 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[279, 9804])).
% 2.73/2.94 tff(9806,plain,
% 2.73/2.94 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9791, 60, 168, 57, 4759, 363])).
% 2.73/2.94 tff(9807,plain,
% 2.73/2.94 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[496, 9806])).
% 2.73/2.94 tff(9808,plain,
% 2.73/2.94 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[3710, 17, 780, 9807, 68, 63])).
% 2.73/2.94 tff(9809,plain,
% 2.73/2.94 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[409, 9808])).
% 2.73/2.94 tff(9810,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(9811,plain,
% 2.73/2.94 (((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(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(z))))) <=> ((~b(s(z), 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(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)))))))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(9812,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(z))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[9811])).
% 2.73/2.94 tff(9813,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(z))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.94 inference(transitivity,[status(thm)],[9812, 9810])).
% 2.73/2.94 tff(9814,plain,
% 2.73/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), s(z))) | (~b(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(z)))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(9815,plain,
% 2.73/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 2.73/2.94 tff(9816,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9815, 102, 4759, 9809, 57, 254, 60, 363])).
% 2.73/2.94 tff(9817,plain,((~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(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(9818,plain,
% 2.73/2.94 ((~b(s(s(s(s(s(z))))), s(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(s(z)))))))) | (~b(s(z), z)) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9817, 7981])).
% 2.73/2.94 tff(9819,plain,
% 2.73/2.94 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9818, 9805, 363, 60, 57, 9798, 9578, 168])).
% 2.73/2.94 tff(9820,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[252, 9819, 9803])).
% 2.73/2.94 tff(9821,plain,((~b(s(s(z)), s(z))) | (~b(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(z)))) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(9822,plain,
% 2.73/2.94 (~b(s(s(z)), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9821, 9420, 9745, 9783, 343])).
% 2.73/2.94 tff(9823,plain,
% 2.73/2.94 (r(s(s(z)), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[195, 9822])).
% 2.73/2.94 tff(9824,plain,
% 2.73/2.94 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[2687, 9755, 9433, 9519, 9823])).
% 2.73/2.94 tff(9825,plain,
% 2.73/2.94 (b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[252, 9824])).
% 2.73/2.94 tff(9826,plain,
% 2.73/2.94 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9102, 9825, 9745])).
% 2.73/2.94 tff(9827,plain,
% 2.73/2.94 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[538, 9826])).
% 2.73/2.94 tff(9828,plain,
% 2.73/2.94 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9769, 9827, 9823, 9519, 9755])).
% 2.73/2.94 tff(9829,plain,
% 2.73/2.94 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[409, 9828])).
% 2.73/2.94 tff(9830,plain,
% 2.73/2.94 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[3737, 9829, 343, 9745])).
% 2.73/2.94 tff(9831,plain,
% 2.73/2.94 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[165, 9830])).
% 2.73/2.94 tff(9832,plain,
% 2.73/2.94 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[3062, 9831, 90, 9433, 9827])).
% 2.73/2.94 tff(9833,plain,
% 2.73/2.94 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[361, 9832])).
% 2.73/2.94 tff(9834,plain,
% 2.73/2.94 (~b(s(z), s(s(s(s(s(z))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[1520, 9833, 343, 9829])).
% 2.73/2.94 tff(9835,plain,
% 2.73/2.94 (r(s(z), s(s(s(s(s(z))))))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[3202, 9834])).
% 2.73/2.94 tff(9836,plain,
% 2.73/2.94 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[3897, 9833, 343, 9420, 66, 9829])).
% 2.73/2.94 tff(9837,plain,
% 2.73/2.94 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[496, 9836])).
% 2.73/2.94 tff(9838,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(z))) | (~b(z, 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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(9839,plain,
% 2.73/2.94 (((~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)))))) | (~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(z), z)) | (~b(s(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(s(s(s(s(z)))), s(z))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(9840,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[9839])).
% 2.73/2.94 tff(9841,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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(X0, 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(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.94 inference(transitivity,[status(thm)],[9840, 9838])).
% 2.73/2.94 tff(9842,plain,
% 2.73/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, 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(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))))),
% 2.73/2.94 inference(quant_inst,[status(thm)],[])).
% 2.73/2.94 tff(9843,plain,
% 2.73/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.73/2.94 inference(modus_ponens,[status(thm)],[9842, 9841])).
% 2.73/2.94 tff(9844,plain,
% 2.73/2.94 ($false),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9843, 102, 425, 4, 2300, 3411, 363])).
% 2.73/2.94 tff(9845,plain,((~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)))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.94 tff(9846,plain,
% 2.73/2.94 (~b(s(s(s(s(z)))), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[9845, 3411, 363, 4, 425])).
% 2.73/2.94 tff(9847,plain,
% 2.73/2.94 (r(s(s(s(s(z)))), s(z))),
% 2.73/2.94 inference(unit_resolution,[status(thm)],[1573, 9846])).
% 2.73/2.94 tff(9848,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(9849,plain,
% 2.73/2.94 (((~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(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)))))), 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(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.94 inference(rewrite,[status(thm)],[])).
% 2.73/2.94 tff(9850,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.73/2.94 inference(monotonicity,[status(thm)],[9849])).
% 2.73/2.94 tff(9851,plain,
% 2.73/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.73/2.95 inference(transitivity,[status(thm)],[9850, 9848])).
% 2.73/2.95 tff(9852,plain,
% 2.73/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(9853,plain,
% 2.73/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[9852, 9851])).
% 2.73/2.95 tff(9854,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9853, 102, 7981, 4, 60, 3411, 3366])).
% 2.73/2.95 tff(9855,plain,((~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(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9856,plain,
% 2.73/2.95 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9855, 3411, 60, 4])).
% 2.73/2.95 tff(9857,plain,
% 2.73/2.95 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2072, 9856])).
% 2.73/2.95 tff(9858,plain,
% 2.73/2.95 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[4493, 9857, 5, 9847, 234])).
% 2.73/2.95 tff(9859,plain,
% 2.73/2.95 (b(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2048, 9858])).
% 2.73/2.95 tff(9860,plain,
% 2.73/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(z)))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(z)))) | (~b(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(z)))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(9861,plain,
% 2.73/2.95 (((~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(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)))))), z)) | (~b(s(s(s(s(s(z))))), 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))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(9862,plain,
% 2.73/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), s(s(z)))) | (~b(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(z))))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[9861])).
% 2.73/2.95 tff(9863,plain,
% 2.73/2.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z))))), s(s(z)))) | (~b(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(z)))))),
% 2.73/2.95 inference(transitivity,[status(thm)],[9862, 9860])).
% 2.73/2.95 tff(9864,plain,
% 2.73/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(9865,plain,
% 2.73/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.73/2.95 inference(modus_ponens,[status(thm)],[9864, 9863])).
% 2.73/2.95 tff(9866,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9865, 102, 7981, 4, 57, 60, 3411, 9859])).
% 2.73/2.95 tff(9867,plain,((~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(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(z)))) | (~r(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9868,plain,
% 2.73/2.95 (~b(z, s(s(s(s(z)))))),
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% 2.73/2.95 tff(9869,plain,
% 2.73/2.95 (r(z, s(s(s(s(z)))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[54, 9868])).
% 2.73/2.95 tff(9870,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[3353, 17, 68, 90, 2926, 7, 61])).
% 2.73/2.95 tff(9871,plain,((~r(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(z)))))) | (~r(s(z), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9872,plain,
% 2.73/2.95 (~r(s(s(s(s(z)))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9871, 9869, 90, 9433, 9835])).
% 2.73/2.95 tff(9873,plain,
% 2.73/2.95 (b(s(s(s(s(z)))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[1573, 9872])).
% 2.73/2.95 tff(9874,plain,
% 2.73/2.95 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[4326, 9869, 90, 9433, 9835])).
% 2.73/2.95 tff(9875,plain,
% 2.73/2.95 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2114, 9874])).
% 2.73/2.95 tff(9876,plain,
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% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(9877,plain,
% 2.73/2.95 (((~b(z, s(s(z)))) | (~b(s(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(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), 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))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(9878,plain,
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% 2.73/2.95 inference(monotonicity,[status(thm)],[9877])).
% 2.73/2.95 tff(9879,plain,
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% 2.73/2.95 inference(transitivity,[status(thm)],[9878, 9876])).
% 2.73/2.95 tff(9880,plain,
% 2.73/2.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.73/2.95 inference(quant_inst,[status(thm)],[])).
% 2.73/2.95 tff(9881,plain,
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% 2.73/2.95 inference(modus_ponens,[status(thm)],[9880, 9879])).
% 2.73/2.95 tff(9882,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9881, 102, 66, 343, 9783, 9875, 9873, 9420])).
% 2.73/2.95 tff(9883,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9884,plain,
% 2.73/2.95 (~b(z, s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9883, 343, 90])).
% 2.73/2.95 tff(9885,plain,
% 2.73/2.95 (r(z, s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[122, 9884])).
% 2.73/2.95 tff(9886,plain,
% 2.73/2.95 (~b(s(s(z)), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9821, 363, 60, 57, 343])).
% 2.73/2.95 tff(9887,plain,
% 2.73/2.95 (r(s(s(z)), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[195, 9886])).
% 2.73/2.95 tff(9888,plain,
% 2.73/2.95 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9566, 498, 57, 343, 363])).
% 2.73/2.95 tff(9889,plain,
% 2.73/2.95 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[538, 9888])).
% 2.73/2.95 tff(9890,plain,
% 2.73/2.95 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[578, 9889, 9798, 9887, 2])).
% 2.73/2.95 tff(9891,plain,
% 2.73/2.95 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[165, 9890])).
% 2.73/2.95 tff(9892,plain,
% 2.73/2.95 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2442, 498, 60, 57])).
% 2.73/2.95 tff(9893,plain,
% 2.73/2.95 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[279, 9892])).
% 2.73/2.95 tff(9894,plain,
% 2.73/2.95 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[6958, 9893, 9798, 2, 9889])).
% 2.73/2.95 tff(9895,plain,
% 2.73/2.95 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[409, 9894])).
% 2.73/2.95 tff(9896,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[3737, 9895, 9891, 343, 60])).
% 2.73/2.95 tff(9897,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9898,plain,
% 2.73/2.95 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9897, 343, 9745, 9885, 9783, 9420])).
% 2.73/2.95 tff(9899,plain,
% 2.73/2.95 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[496, 9898])).
% 2.73/2.95 tff(9900,plain,
% 2.73/2.95 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2466, 9899, 9433, 9823, 9885])).
% 2.73/2.95 tff(9901,plain,
% 2.73/2.95 (b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[538, 9900])).
% 2.73/2.95 tff(9902,plain,
% 2.73/2.95 (~r(s(z), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[976, 2, 68, 234])).
% 2.73/2.95 tff(9903,plain,
% 2.73/2.95 (b(s(z), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[698, 9902])).
% 2.73/2.95 tff(9904,plain,
% 2.73/2.95 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2466, 5, 68, 234, 2])).
% 2.73/2.95 tff(9905,plain,
% 2.73/2.95 (b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[538, 9904])).
% 2.73/2.95 tff(9906,plain,
% 2.73/2.95 (~r(s(s(z)), z)),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2482, 5, 2, 63])).
% 2.73/2.95 tff(9907,plain,
% 2.73/2.95 (b(s(s(z)), z)),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[1392, 9906])).
% 2.73/2.95 tff(9908,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[351, 9907, 9905, 343, 60, 9903, 57])).
% 2.73/2.95 tff(9909,plain,((~r(s(s(s(s(s(s(z)))))), s(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(z)))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(z))) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9910,plain,
% 2.73/2.95 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9909, 9899, 9745, 9783, 9885, 343, 9433, 9823])).
% 2.73/2.95 tff(9911,plain,
% 2.73/2.95 (b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[252, 9910])).
% 2.73/2.95 tff(9912,plain,
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% 2.73/2.95 inference(unit_resolution,[status(thm)],[9102, 9911, 9901, 9745])).
% 2.73/2.95 tff(9913,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9914,plain,
% 2.73/2.95 (~b(s(s(s(s(s(z))))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9913, 90])).
% 2.73/2.95 tff(9915,plain,
% 2.73/2.95 (r(s(s(s(s(s(z))))), s(z))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[303, 9914])).
% 2.73/2.95 tff(9916,plain,
% 2.73/2.95 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[496, 9141])).
% 2.73/2.95 tff(9917,plain,
% 2.73/2.95 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[1720, 2, 90, 3])).
% 2.73/2.95 tff(9918,plain,
% 2.73/2.95 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[232, 9917])).
% 2.73/2.95 tff(9919,plain,
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% 2.73/2.95 inference(unit_resolution,[status(thm)],[1833, 66, 168, 382])).
% 2.73/2.95 tff(9920,plain,
% 2.73/2.95 (r(s(z), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[698, 9919])).
% 2.73/2.95 tff(9921,plain,
% 2.73/2.95 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[2034, 124, 66, 4])).
% 2.73/2.95 tff(9922,plain,
% 2.73/2.95 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[279, 9921])).
% 2.73/2.95 tff(9923,plain,
% 2.73/2.95 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9102, 124, 4])).
% 2.73/2.95 tff(9924,plain,
% 2.73/2.95 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[341, 9923])).
% 2.73/2.95 tff(9925,plain,
% 2.73/2.95 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[313, 9924, 64, 9922])).
% 2.73/2.95 tff(9926,plain,
% 2.73/2.95 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[232, 9925])).
% 2.73/2.95 tff(9927,plain,
% 2.73/2.95 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[8962, 124, 66, 3, 4])).
% 2.73/2.95 tff(9928,plain,
% 2.73/2.95 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[496, 9927])).
% 2.73/2.95 tff(9929,plain,
% 2.73/2.95 ($false),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9027, 102, 7981, 66, 9928, 4, 9926])).
% 2.73/2.95 tff(9930,plain,((~b(z, s(s(s(s(s(s(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(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.95 tff(9931,plain,
% 2.73/2.95 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[9930, 64, 4, 66, 3])).
% 2.73/2.95 tff(9932,plain,
% 2.73/2.95 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.95 inference(unit_resolution,[status(thm)],[538, 9931])).
% 2.73/2.95 tff(9933,plain,
% 2.73/2.95 (((~![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(z), s(s(z)))) | (~r(s(z), 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)))))))))) <=> ((~![X0: $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(z), 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)))))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(9934,plain,
% 2.73/2.95 (((~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(z), s(s(z)))) | (~r(s(z), 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)))))))))),
% 2.73/2.95 inference(rewrite,[status(thm)],[])).
% 2.73/2.95 tff(9935,plain,
% 2.73/2.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(z), s(s(z)))) | (~r(s(z), 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))))))))))),
% 2.73/2.95 inference(monotonicity,[status(thm)],[9934])).
% 2.73/2.95 tff(9936,plain,
% 2.73/2.95 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(z), s(s(z)))) | (~r(s(z), 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)))))))))),
% 2.73/2.95 inference(transitivity,[status(thm)],[9935, 9933])).
% 2.73/2.95 tff(9937,plain,
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% 2.73/2.95 tff(9941,plain,
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% 2.73/2.95 tff(9942,plain,
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% 2.73/2.95 tff(9943,plain,
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% 2.73/2.95 tff(9944,plain,
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% 2.73/2.95 tff(9945,plain,
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% 2.73/2.95 tff(9946,plain,
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% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(9948,plain,
% 2.73/2.96 (((~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(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
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% 2.73/2.96 inference(monotonicity,[status(thm)],[9948])).
% 2.73/2.96 tff(9950,plain,
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% 2.73/2.96 inference(transitivity,[status(thm)],[9949, 9947])).
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% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
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% 2.73/2.96 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 2.73/2.96 tff(9953,plain,
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% 2.73/2.96 tff(9955,plain,
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% 2.73/2.96 inference(unit_resolution,[status(thm)],[9954, 65, 168, 382, 9915, 4, 59, 66, 3])).
% 2.73/2.96 tff(9956,plain,
% 2.73/2.96 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 2.73/2.96 tff(9957,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(s(z)))))))))),
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% 2.73/2.96 tff(9958,plain,
% 2.73/2.96 (((~b(s(s(s(s(s(s(z)))))), 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(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)))))), 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(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(9959,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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(s(z))))))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[9958])).
% 2.73/2.96 tff(9960,plain,
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% 2.73/2.96 inference(transitivity,[status(thm)],[9959, 9957])).
% 2.73/2.96 tff(9961,plain,
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% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(9962,plain,
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% 2.73/2.96 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 2.73/2.96 tff(9963,plain,
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% 2.73/2.96 tff(9964,plain,((~b(z, s(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(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(9965,plain,
% 2.73/2.96 (~b(z, s(s(s(s(s(s(z)))))))),
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% 2.73/2.96 tff(9966,plain,
% 2.73/2.96 (r(z, s(s(s(s(s(s(z)))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[538, 9965])).
% 2.73/2.96 tff(9967,plain,
% 2.73/2.96 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[3938, 61, 3, 780])).
% 2.73/2.96 tff(9968,plain,
% 2.73/2.96 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[232, 9967])).
% 2.73/2.96 tff(9969,plain,
% 2.73/2.96 (~r(s(s(z)), z)),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[4910, 61, 59, 3, 780])).
% 2.73/2.96 tff(9970,plain,
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% 2.73/2.96 tff(9971,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(9972,plain,
% 2.73/2.96 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(z, 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(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(9973,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[9972])).
% 2.73/2.96 tff(9974,plain,
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% 2.73/2.96 inference(transitivity,[status(thm)],[9973, 9971])).
% 2.73/2.96 tff(9975,plain,
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% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(9976,plain,
% 2.73/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 2.73/2.96 inference(modus_ponens,[status(thm)],[9975, 9974])).
% 2.73/2.96 tff(9977,plain,
% 2.73/2.96 ((~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[9976, 102, 7981, 66, 168])).
% 2.73/2.96 tff(9978,plain,
% 2.73/2.96 ($false),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[9977, 9970, 9968])).
% 2.73/2.96 tff(9979,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(9980,plain,
% 2.73/2.96 (~r(s(z), s(s(s(s(s(z))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[9979, 66, 168, 59, 3, 9920])).
% 2.73/2.96 tff(9981,plain,
% 2.73/2.96 (b(s(z), s(s(s(s(s(z))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[3202, 9980])).
% 2.73/2.96 tff(9982,plain,
% 2.73/2.96 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[9940, 9966, 59, 65, 9920])).
% 2.73/2.96 tff(9983,plain,
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% 2.73/2.96 inference(unit_resolution,[status(thm)],[165, 9982])).
% 2.73/2.96 tff(9984,plain,
% 2.73/2.96 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 2.73/2.96 tff(9985,plain,
% 2.73/2.96 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[341, 9984])).
% 2.73/2.96 tff(9986,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
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% 2.73/2.96 tff(9987,plain,
% 2.73/2.96 (((~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(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)))))) | (~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)))))))))),
% 2.73/2.96 inference(rewrite,[status(thm)],[])).
% 2.73/2.96 tff(9988,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.73/2.96 inference(monotonicity,[status(thm)],[9987])).
% 2.73/2.96 tff(9989,plain,
% 2.73/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.73/2.96 inference(transitivity,[status(thm)],[9988, 9986])).
% 2.73/2.96 tff(9990,plain,
% 2.73/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.73/2.96 inference(quant_inst,[status(thm)],[])).
% 2.73/2.96 tff(9991,plain,
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% 2.73/2.96 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 2.73/2.96 tff(9992,plain,
% 2.73/2.96 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 2.73/2.96 tff(9993,plain,
% 2.73/2.96 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 2.73/2.96 tff(9994,plain,
% 2.73/2.96 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.73/2.96 inference(unit_resolution,[status(thm)],[8949, 9993, 1, 7])).
% 2.73/2.96 tff(9995,assumption,(~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.73/2.96 tff(9996,plain,
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% 2.73/2.96 tff(9997,plain,(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(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(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.96 tff(9998,plain,
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% 2.73/2.96 tff(9999,plain,
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% 2.73/2.96 tff(10000,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(s(z))))))) | (~b(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))))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(10001,plain,
% 2.73/2.97 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 2.73/2.97 tff(10002,plain,
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% 2.73/2.97 tff(10003,plain,
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% 2.73/2.97 tff(10004,plain,
% 2.73/2.97 (((~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(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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
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% 2.73/2.97 tff(10005,plain,
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% 2.73/2.97 inference(monotonicity,[status(thm)],[10004])).
% 2.73/2.97 tff(10006,plain,
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% 2.73/2.97 inference(transitivity,[status(thm)],[10005, 10003])).
% 2.73/2.97 tff(10007,plain,
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% 2.73/2.97 tff(10008,plain,
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% 2.73/2.97 inference(modus_ponens,[status(thm)],[10007, 10006])).
% 2.73/2.97 tff(10009,plain,
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% 2.73/2.97 tff(10010,plain,((~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(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(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(10011,plain,
% 2.73/2.97 (~r(z, s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10010, 9985, 90, 9966, 5086, 9956])).
% 2.73/2.97 tff(10012,plain,
% 2.73/2.97 (b(z, s(s(s(s(z)))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[54, 10011])).
% 2.73/2.97 tff(10013,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[8922, 102, 7981, 5086, 3411, 3594])).
% 2.73/2.97 tff(10014,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(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(10015,plain,
% 2.73/2.97 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10014, 10012, 5086])).
% 2.73/2.97 tff(10016,plain,
% 2.73/2.97 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[6546, 10015])).
% 2.73/2.97 tff(10017,plain,
% 2.73/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10018,plain,
% 2.73/2.97 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10019,plain,
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% 2.73/2.97 inference(monotonicity,[status(thm)],[10018])).
% 2.73/2.97 tff(10020,plain,
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% 2.73/2.97 inference(transitivity,[status(thm)],[10019, 10017])).
% 2.73/2.97 tff(10021,plain,
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% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(10022,plain,
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% 2.73/2.97 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 2.73/2.97 tff(10023,plain,
% 2.73/2.97 ($false),
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% 2.73/2.97 tff(10024,plain,((~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))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(10025,plain,
% 2.73/2.97 (~b(s(s(s(s(z)))), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10024, 10012, 5086])).
% 2.73/2.97 tff(10026,plain,
% 2.73/2.97 (r(s(s(s(s(z)))), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[2083, 10025])).
% 2.73/2.97 tff(10027,plain,
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% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10028,plain,
% 2.73/2.97 (((~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(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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10029,plain,
% 2.73/2.97 (((~![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(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(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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[10028])).
% 2.73/2.97 tff(10030,plain,
% 2.73/2.97 (((~![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(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(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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[10029, 10027])).
% 2.73/2.97 tff(10031,plain,
% 2.73/2.97 ((~![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(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)))))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(10032,plain,
% 2.73/2.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[10031, 10030])).
% 2.73/2.97 tff(10033,plain,
% 2.73/2.97 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10032, 17, 65, 90, 10026, 10016])).
% 2.73/2.97 tff(10034,plain,
% 2.73/2.97 (b(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[2048, 10033])).
% 2.73/2.97 tff(10035,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[8957, 102, 7981, 498, 4, 364, 3411, 1588])).
% 2.73/2.97 tff(10036,plain,((~b(s(s(s(s(s(s(z)))))), 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(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(10037,plain,
% 2.73/2.97 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10036, 9956, 4, 10012, 10034])).
% 2.73/2.97 tff(10038,plain,
% 2.73/2.97 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[496, 10037])).
% 2.73/2.97 tff(10039,plain,
% 2.73/2.97 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[2100, 10038, 3, 9985])).
% 2.73/2.97 tff(10040,plain,
% 2.73/2.97 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[279, 10039])).
% 2.73/2.97 tff(10041,plain,
% 2.73/2.97 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[4237, 10040, 66, 4, 10034])).
% 2.73/2.97 tff(10042,plain,
% 2.73/2.97 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[2072, 10041])).
% 2.73/2.97 tff(10043,plain,
% 2.73/2.97 (((~![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(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))))))) | (~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(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))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10044,plain,
% 2.73/2.97 (((~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(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)))), 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)))))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10045,plain,
% 2.73/2.97 (((~![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(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(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)))), 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))))))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[10044])).
% 2.73/2.97 tff(10046,plain,
% 2.73/2.97 (((~![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(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(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)))), 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)))))))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[10045, 10043])).
% 2.73/2.97 tff(10047,plain,
% 2.73/2.97 ((~![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(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)))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(10048,plain,
% 2.73/2.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.73/2.97 inference(modus_ponens,[status(thm)],[10047, 10046])).
% 2.73/2.97 tff(10049,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10048, 17, 90, 9985, 10026, 10042, 10016])).
% 2.73/2.97 tff(10050,plain,((~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(10051,plain,
% 2.73/2.97 (~r(s(s(z)), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10050, 4, 66, 90, 3, 5086, 59, 168, 382])).
% 2.73/2.97 tff(10052,plain,
% 2.73/2.97 (b(s(s(z)), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[1392, 10051])).
% 2.73/2.97 tff(10053,plain,
% 2.73/2.97 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[8778, 10052, 66, 4])).
% 2.73/2.97 tff(10054,plain,
% 2.73/2.97 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[341, 10053])).
% 2.73/2.97 tff(10055,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[9223, 102, 7981, 66, 10052, 4, 10054])).
% 2.73/2.97 tff(10056,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.97 tff(10057,plain,
% 2.73/2.97 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10056, 66, 90, 3, 5086, 59, 168, 382])).
% 2.73/2.97 tff(10058,plain,
% 2.73/2.97 (r(s(s(s(s(s(s(z)))))), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[252, 10057])).
% 2.73/2.97 tff(10059,plain,
% 2.73/2.97 ($false),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[9167, 102, 66, 498, 56, 124])).
% 2.73/2.97 tff(10060,plain,((~b(s(s(z)), z)) | (~b(z, s(s(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,[]))).
% 2.73/2.97 tff(10061,plain,
% 2.73/2.97 (~b(s(s(z)), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[10060, 498, 66, 124])).
% 2.73/2.97 tff(10062,plain,
% 2.73/2.97 (r(s(s(z)), z)),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[1392, 10061])).
% 2.73/2.97 tff(10063,plain,
% 2.73/2.97 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[3317, 10062, 63, 305, 2157])).
% 2.73/2.97 tff(10064,plain,
% 2.73/2.97 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/2.97 inference(unit_resolution,[status(thm)],[232, 10063])).
% 2.73/2.97 tff(10065,plain,
% 2.73/2.97 (((~![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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), 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(s(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(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10066,plain,
% 2.73/2.97 (((~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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.97 inference(rewrite,[status(thm)],[])).
% 2.73/2.97 tff(10067,plain,
% 2.73/2.97 (((~![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(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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.73/2.97 inference(monotonicity,[status(thm)],[10066])).
% 2.73/2.97 tff(10068,plain,
% 2.73/2.97 (((~![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(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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.73/2.97 inference(transitivity,[status(thm)],[10067, 10065])).
% 2.73/2.97 tff(10069,plain,
% 2.73/2.97 ((~![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(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)))))))))),
% 2.73/2.97 inference(quant_inst,[status(thm)],[])).
% 2.73/2.97 tff(10070,plain,
% 2.73/2.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 2.73/2.98 tff(10071,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10070, 17, 63, 65, 62, 7519, 7])).
% 2.73/2.98 tff(10072,plain,((~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(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(10073,plain,
% 2.73/2.98 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10072, 7, 10062, 2157, 63])).
% 2.73/2.98 tff(10074,plain,
% 2.73/2.98 (b(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[8907, 10073])).
% 2.73/2.98 tff(10075,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10076,plain,
% 2.73/2.98 (((~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(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(z, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10077,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[10076])).
% 2.73/2.98 tff(10078,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[10077, 10075])).
% 2.73/2.98 tff(10079,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(10080,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[10079, 10078])).
% 2.73/2.98 tff(10081,plain,
% 2.73/2.98 ($false),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10080, 102, 66, 498, 124, 7119, 3366])).
% 2.73/2.98 tff(10082,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(z, 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(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.98 tff(10083,plain,
% 2.73/2.98 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10082, 10074, 498, 124, 66])).
% 2.73/2.98 tff(10084,plain,
% 2.73/2.98 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[2072, 10083])).
% 2.73/2.98 tff(10085,plain,
% 2.73/2.98 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[7127, 10074, 197, 5086])).
% 2.73/2.98 tff(10086,plain,
% 2.73/2.98 (r(s(s(s(s(z)))), s(s(z)))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[2048, 10085])).
% 2.73/2.98 tff(10087,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10088,plain,
% 2.73/2.98 (((~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(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(z, 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(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10089,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[10088])).
% 2.73/2.98 tff(10090,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[10089, 10087])).
% 2.73/2.98 tff(10091,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(10092,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[10091, 10090])).
% 2.73/2.98 tff(10093,plain,
% 2.73/2.98 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10092, 102, 7981, 66, 498, 197])).
% 2.73/2.98 tff(10094,plain,
% 2.73/2.98 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[361, 10093])).
% 2.73/2.98 tff(10095,plain,
% 2.73/2.98 (((~![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(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(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(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(s(s(s(s(z)))))))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10096,plain,
% 2.73/2.98 (((~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(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(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(s(s(s(s(z)))))))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10097,plain,
% 2.73/2.98 (((~![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(z)))) | (~r(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(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(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(s(s(s(s(z))))))))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[10096])).
% 2.73/2.98 tff(10098,plain,
% 2.73/2.98 (((~![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(z)))) | (~r(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(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(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(s(s(s(s(z)))))))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[10097, 10095])).
% 2.73/2.98 tff(10099,plain,
% 2.73/2.98 ((~![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(z)))) | (~r(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(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(10100,plain,
% 2.73/2.98 ((~![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(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(s(s(s(s(z))))))))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[10099, 10098])).
% 2.73/2.98 tff(10101,plain,
% 2.73/2.98 ((~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))))))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10100, 17, 3, 64, 4477])).
% 2.73/2.98 tff(10102,plain,
% 2.73/2.98 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10101, 6])).
% 2.73/2.98 tff(10103,plain,
% 2.73/2.98 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[6546, 10102])).
% 2.73/2.98 tff(10104,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10105,plain,
% 2.73/2.98 (((~b(s(s(z)), s(z))) | (~b(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(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)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.98 tff(10106,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z)))))),
% 2.73/2.98 inference(monotonicity,[status(thm)],[10105])).
% 2.73/2.98 tff(10107,plain,
% 2.73/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z))))),
% 2.73/2.98 inference(transitivity,[status(thm)],[10106, 10104])).
% 2.73/2.98 tff(10108,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(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))))))))),
% 2.73/2.98 inference(quant_inst,[status(thm)],[])).
% 2.73/2.98 tff(10109,plain,
% 2.73/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z)))),
% 2.73/2.98 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 2.73/2.98 tff(10110,plain,
% 2.73/2.98 ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10109, 102, 7981, 66, 168, 2300])).
% 2.73/2.98 tff(10111,plain,
% 2.73/2.98 (~b(s(s(s(s(z)))), z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[10110, 10103])).
% 2.73/2.98 tff(10112,plain,
% 2.73/2.98 (r(s(s(s(s(z)))), z)),
% 2.73/2.98 inference(unit_resolution,[status(thm)],[2083, 10111])).
% 2.73/2.98 tff(10113,plain,
% 2.73/2.98 (((~![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)))))), z)) | (~r(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(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)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.98 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10114,plain,
% 2.73/2.99 (((~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(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10115,plain,
% 2.73/2.99 (((~![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(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(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[10114])).
% 2.73/2.99 tff(10116,plain,
% 2.73/2.99 (((~![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(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(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[10115, 10113])).
% 2.73/2.99 tff(10117,plain,
% 2.73/2.99 ((~![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(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)))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(10118,plain,
% 2.73/2.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 2.73/2.99 tff(10119,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10118, 17, 63, 62, 10112, 6, 4477])).
% 2.73/2.99 tff(10120,plain,((~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(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(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(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(10121,plain,
% 2.73/2.99 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10120, 4477, 2157, 63, 66, 168, 2300, 3, 10094])).
% 2.73/2.99 tff(10122,plain,
% 2.73/2.99 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[2072, 10121])).
% 2.73/2.99 tff(10123,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(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(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(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(s(s(s(s(z)))), s(z))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10124,plain,
% 2.73/2.99 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), 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(s(s(z)), 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)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10125,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(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(X0, 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(s(z)))) | (~b(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(s(s(s(s(z)))), s(z)))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[10124])).
% 2.73/2.99 tff(10126,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(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(X0, 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(s(z)))) | (~b(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(s(s(s(s(z)))), s(z))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[10125, 10123])).
% 2.73/2.99 tff(10127,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(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)))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(10128,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(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(s(s(s(s(z)))), s(z)))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[10127, 10126])).
% 2.73/2.99 tff(10129,plain,
% 2.73/2.99 ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10128, 102, 498, 168, 124, 2300])).
% 2.73/2.99 tff(10130,plain,
% 2.73/2.99 (~b(s(s(s(s(z)))), z)),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10129, 10122])).
% 2.73/2.99 tff(10131,plain,
% 2.73/2.99 (r(s(s(s(s(z)))), z)),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[2083, 10130])).
% 2.73/2.99 tff(10132,plain,
% 2.73/2.99 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[8897, 10131])).
% 2.73/2.99 tff(10133,plain,
% 2.73/2.99 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[6546, 10132])).
% 2.73/2.99 tff(10134,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10135,plain,
% 2.73/2.99 (((~b(z, s(z))) | (~b(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(z)), s(z))) | (~b(z, s(z))) | (~b(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(z)))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10136,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[10135])).
% 2.73/2.99 tff(10137,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[10136, 10134])).
% 2.73/2.99 tff(10138,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(10139,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[10138, 10137])).
% 2.73/2.99 tff(10140,plain,
% 2.73/2.99 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10139, 102, 7981, 168, 197, 382, 10133])).
% 2.73/2.99 tff(10141,plain,
% 2.73/2.99 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[7116, 17, 10062, 7, 10131])).
% 2.73/2.99 tff(10142,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[8907, 10141, 10140])).
% 2.73/2.99 tff(10143,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(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(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(10144,plain,
% 2.73/2.99 (~b(s(s(s(s(z)))), s(z))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10143, 10086, 168, 197, 382, 3, 90, 498, 124, 7, 63, 66])).
% 2.73/2.99 tff(10145,plain,
% 2.73/2.99 (r(s(s(s(s(z)))), s(z))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[1573, 10144])).
% 2.73/2.99 tff(10146,plain,
% 2.73/2.99 ((~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))))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[7153, 17, 9915, 10094, 10145])).
% 2.73/2.99 tff(10147,plain,
% 2.73/2.99 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10146, 10084])).
% 2.73/2.99 tff(10148,plain,
% 2.73/2.99 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[6546, 10147])).
% 2.73/2.99 tff(10149,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10139, 102, 7981, 168, 197, 10074, 382, 10148])).
% 2.73/2.99 tff(10150,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(10151,plain,
% 2.73/2.99 (~r(z, s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10150, 10064, 168, 382, 498, 124, 66, 3, 90, 63, 5086])).
% 2.73/2.99 tff(10152,plain,
% 2.73/2.99 (b(z, s(s(s(s(z)))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[54, 10151])).
% 2.73/2.99 tff(10153,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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)))))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10154,plain,
% 2.73/2.99 (((~b(s(s(s(s(s(z))))), 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(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z))))))))) <=> ((~b(z, 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(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)))))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10155,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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))))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[10154])).
% 2.73/2.99 tff(10156,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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(X0, 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(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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)))))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[10155, 10153])).
% 2.73/2.99 tff(10157,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(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)))))))))),
% 2.73/2.99 inference(quant_inst,[status(thm)],[])).
% 2.73/2.99 tff(10158,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.73/2.99 inference(modus_ponens,[status(thm)],[10157, 10156])).
% 2.73/2.99 tff(10159,plain,
% 2.73/2.99 ($false),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10158, 102, 66, 498, 124, 10064, 5086, 10152])).
% 2.73/2.99 tff(10160,plain,((~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(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(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))))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/2.99 tff(10161,plain,
% 2.73/2.99 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[10160, 305, 124, 5086, 168, 382, 3, 90, 63, 66])).
% 2.73/2.99 tff(10162,plain,
% 2.73/2.99 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[496, 10161])).
% 2.73/2.99 tff(10163,plain,
% 2.73/2.99 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[7993, 10162, 90, 3, 63])).
% 2.73/2.99 tff(10164,plain,
% 2.73/2.99 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[361, 10163])).
% 2.73/2.99 tff(10165,plain,
% 2.73/2.99 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[2100, 10162, 3, 305])).
% 2.73/2.99 tff(10166,plain,
% 2.73/2.99 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.73/2.99 inference(unit_resolution,[status(thm)],[279, 10165])).
% 2.73/2.99 tff(10167,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10168,plain,
% 2.73/2.99 (((~b(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(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(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(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.99 inference(rewrite,[status(thm)],[])).
% 2.73/2.99 tff(10169,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z, s(s(s(s(s(s(z))))))))))),
% 2.73/2.99 inference(monotonicity,[status(thm)],[10168])).
% 2.73/2.99 tff(10170,plain,
% 2.73/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z, s(s(s(s(s(s(z)))))))))),
% 2.73/2.99 inference(transitivity,[status(thm)],[10169, 10167])).
% 2.73/2.99 tff(10171,plain,
% 2.73/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(10172,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[10171, 10170])).
% 2.73/3.00 tff(10173,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10172, 102, 66, 364, 124, 254, 5086, 3411])).
% 2.73/3.00 tff(10174,plain,((~b(s(s(s(s(s(z))))), 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(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(10175,plain,
% 2.73/3.00 (~b(z, s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10174, 10166, 124, 10164, 5086, 66])).
% 2.73/3.00 tff(10176,plain,
% 2.73/3.00 (r(z, s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[54, 10175])).
% 2.73/3.00 tff(10177,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))))), 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(z)))), z)))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(10178,plain,
% 2.73/3.00 (((~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(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(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(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(10179,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(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(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(X0, 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)))))), 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(z)))), z))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[10178])).
% 2.73/3.00 tff(10180,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(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(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(X0, 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)))))), 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(z)))), z)))),
% 2.73/3.00 inference(transitivity,[status(thm)],[10179, 10177])).
% 2.73/3.00 tff(10181,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(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(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(10182,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[10181, 10180])).
% 2.73/3.00 tff(10183,plain,
% 2.73/3.00 (~b(s(s(s(s(z)))), z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10182, 102, 7981, 364, 124, 3594])).
% 2.73/3.00 tff(10184,plain,
% 2.73/3.00 (r(s(s(s(s(z)))), z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[2083, 10183])).
% 2.73/3.00 tff(10185,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[4564, 17, 63, 7, 1537, 8947])).
% 2.73/3.00 tff(10186,plain,((~r(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))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(10187,plain,
% 2.73/3.00 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10186, 10184, 7, 63])).
% 2.73/3.00 tff(10188,plain,
% 2.73/3.00 (((~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(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(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)))))), s(s(s(s(z)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(10189,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[10188])).
% 2.73/3.00 tff(10190,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[10189, 3400])).
% 2.73/3.00 tff(10191,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(10192,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 2.73/3.00 tff(10193,plain,
% 2.73/3.00 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10192, 102, 364, 5086, 3594])).
% 2.73/3.00 tff(10194,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 10193, 10187])).
% 2.73/3.00 tff(10195,plain,((~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(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(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(10196,plain,
% 2.73/3.00 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10195, 10176, 63, 10164, 124, 5086])).
% 2.73/3.00 tff(10197,plain,
% 2.73/3.00 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[6546, 10196])).
% 2.73/3.00 tff(10198,plain,
% 2.73/3.00 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[8595, 102, 7981, 10164, 124, 10166])).
% 2.73/3.00 tff(10199,plain,
% 2.73/3.00 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[232, 10198])).
% 2.73/3.00 tff(10200,plain,
% 2.73/3.00 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[3028, 17, 3, 10199, 10197])).
% 2.73/3.00 tff(10201,plain,
% 2.73/3.00 (b(s(s(s(s(z)))), s(s(z)))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[2048, 10200])).
% 2.73/3.00 tff(10202,plain,
% 2.73/3.00 (~b(s(s(z)), z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[8609, 10164, 124, 10166])).
% 2.73/3.00 tff(10203,plain,
% 2.73/3.00 (r(s(s(z)), z)),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[1392, 10202])).
% 2.73/3.00 tff(10204,assumption,(r(s(s(s(s(z)))), s(s(s(s(s(z))))))), introduced(assumption)).
% 2.73/3.00 tff(10205,plain,
% 2.73/3.00 (((~![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(z)), 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(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(s(z))))))) | (~r(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)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(10206,plain,
% 2.73/3.00 (((~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(s(z))))))) | (~r(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)))))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(10207,plain,
% 2.73/3.00 (((~![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(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(s(z))))))) | (~r(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))))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[10206])).
% 2.73/3.00 tff(10208,plain,
% 2.73/3.00 (((~![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(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(s(z))))))) | (~r(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)))))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[10207, 10205])).
% 2.73/3.00 tff(10209,plain,
% 2.73/3.00 ((~![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(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)))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(10210,plain,
% 2.73/3.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))),
% 2.73/3.00 inference(modus_ponens,[status(thm)],[10209, 10208])).
% 2.73/3.00 tff(10211,plain,
% 2.73/3.00 ($false),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10210, 17, 235, 65, 7519, 7, 10204])).
% 2.73/3.00 tff(10212,plain,((~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)), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.73/3.00 tff(10213,plain,
% 2.73/3.00 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[10212, 10197, 10203, 10199, 10176])).
% 2.73/3.00 tff(10214,plain,
% 2.73/3.00 (b(s(s(z)), s(s(s(s(z)))))),
% 2.73/3.00 inference(unit_resolution,[status(thm)],[8907, 10213])).
% 2.73/3.00 tff(10215,plain,
% 2.73/3.00 (((~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(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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/3.00 inference(rewrite,[status(thm)],[])).
% 2.73/3.00 tff(10216,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.73/3.00 inference(monotonicity,[status(thm)],[10215])).
% 2.73/3.00 tff(10217,plain,
% 2.73/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.73/3.00 inference(transitivity,[status(thm)],[10216, 4521])).
% 2.73/3.00 tff(10218,plain,
% 2.73/3.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), z)))),
% 2.73/3.00 inference(quant_inst,[status(thm)],[])).
% 2.73/3.00 tff(10219,plain,
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% 2.73/3.00 tff(10221,plain,
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% 2.73/3.01 tff(10232,plain,
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% 2.73/3.01 inference(monotonicity,[status(thm)],[10232])).
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% 2.73/3.01 tff(10237,plain,
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% 2.84/3.02 inference(rewrite,[status(thm)],[])).
% 2.84/3.02 tff(10305,plain,
% 2.84/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 2.84/3.02 inference(monotonicity,[status(thm)],[10304])).
% 2.84/3.02 tff(10306,plain,
% 2.84/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 2.84/3.02 inference(transitivity,[status(thm)],[10305, 10303])).
% 2.84/3.02 tff(10307,plain,
% 2.84/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, 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(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))))))))),
% 2.84/3.02 inference(quant_inst,[status(thm)],[])).
% 2.84/3.02 tff(10308,plain,
% 2.84/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.84/3.02 inference(modus_ponens,[status(thm)],[10307, 10306])).
% 2.84/3.02 tff(10309,plain,
% 2.84/3.02 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[10308, 102, 10284, 5086, 10302])).
% 2.84/3.02 tff(10310,plain,
% 2.84/3.02 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 10309])).
% 2.84/3.02 tff(10311,plain,
% 2.84/3.02 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[3028, 17, 3, 235, 10300])).
% 2.84/3.02 tff(10312,plain,
% 2.84/3.02 (b(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[2048, 10311])).
% 2.84/3.02 tff(10313,plain,
% 2.84/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))), s(s(z)))))),
% 2.84/3.02 inference(rewrite,[status(thm)],[])).
% 2.84/3.02 tff(10314,plain,
% 2.84/3.02 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), s(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)))))),
% 2.84/3.02 inference(rewrite,[status(thm)],[])).
% 2.84/3.02 tff(10315,plain,
% 2.84/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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)))), s(s(z))))))),
% 2.84/3.02 inference(monotonicity,[status(thm)],[10314])).
% 2.84/3.02 tff(10316,plain,
% 2.84/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))), s(s(z)))))),
% 2.84/3.02 inference(transitivity,[status(thm)],[10315, 10313])).
% 2.84/3.02 tff(10317,plain,
% 2.84/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))),
% 2.84/3.02 inference(quant_inst,[status(thm)],[])).
% 2.84/3.02 tff(10318,plain,
% 2.84/3.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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)))), s(s(z))))),
% 2.84/3.02 inference(modus_ponens,[status(thm)],[10317, 10316])).
% 2.84/3.02 tff(10319,plain,
% 2.84/3.02 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[10318, 102, 56, 168, 3411, 10312])).
% 2.84/3.02 tff(10320,plain,
% 2.84/3.02 (r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[8907, 10319])).
% 2.84/3.02 tff(10321,plain,
% 2.84/3.02 (((~![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)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.84/3.02 inference(rewrite,[status(thm)],[])).
% 2.84/3.02 tff(10322,plain,
% 2.84/3.02 (((~r(s(s(s(s(z)))), 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))))) <=> ((~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(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.84/3.02 inference(rewrite,[status(thm)],[])).
% 2.84/3.02 tff(10323,plain,
% 2.84/3.02 (((~![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(z)))), 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(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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))))))))),
% 2.84/3.02 inference(monotonicity,[status(thm)],[10322])).
% 2.84/3.02 tff(10324,plain,
% 2.84/3.02 (((~![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(z)))), 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(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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)))))))),
% 2.84/3.02 inference(transitivity,[status(thm)],[10323, 10321])).
% 2.84/3.02 tff(10325,plain,
% 2.84/3.02 ((~![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(z)))), 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)))))),
% 2.84/3.02 inference(quant_inst,[status(thm)],[])).
% 2.84/3.02 tff(10326,plain,
% 2.84/3.02 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.84/3.02 inference(modus_ponens,[status(thm)],[10325, 10324])).
% 2.84/3.02 tff(10327,plain,
% 2.84/3.02 ($false),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[10326, 17, 5, 63, 10320, 10298, 10310])).
% 2.84/3.02 tff(10328,plain,((~b(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)))))), z)) | (~b(s(s(z)), z)) | (~b(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(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.02 tff(10329,plain,
% 2.84/3.02 (~b(s(s(z)), z)),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[10328, 10290, 63, 5, 168, 5086, 3, 235, 90])).
% 2.84/3.02 tff(10330,plain,
% 2.84/3.02 (r(s(s(z)), z)),
% 2.84/3.02 inference(unit_resolution,[status(thm)],[1392, 10329])).
% 2.84/3.02 tff(10331,plain,
% 2.84/3.02 (((~![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(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(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(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(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.84/3.02 inference(rewrite,[status(thm)],[])).
% 2.84/3.02 tff(10332,plain,
% 2.84/3.02 (((~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(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(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 2.84/3.02 inference(rewrite,[status(thm)],[])).
% 2.84/3.02 tff(10333,plain,
% 2.84/3.02 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(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(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 2.84/3.02 inference(monotonicity,[status(thm)],[10332])).
% 2.84/3.02 tff(10334,plain,
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% 2.84/3.03 inference(rewrite,[status(thm)],[])).
% 2.84/3.03 tff(10378,plain,
% 2.84/3.03 (((~b(z, s(s(z)))) | (~b(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)))))),
% 2.84/3.03 inference(rewrite,[status(thm)],[])).
% 2.84/3.03 tff(10379,plain,
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% 2.84/3.03 inference(monotonicity,[status(thm)],[10378])).
% 2.84/3.03 tff(10380,plain,
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% 2.84/3.03 inference(transitivity,[status(thm)],[10379, 10377])).
% 2.84/3.03 tff(10381,plain,
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% 2.84/3.03 inference(quant_inst,[status(thm)],[])).
% 2.84/3.03 tff(10382,plain,
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% 2.84/3.03 inference(modus_ponens,[status(thm)],[10381, 10380])).
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[10382, 102, 66, 56, 3411, 10376])).
% 2.84/3.03 tff(10384,plain,((~b(s(s(z)), z)) | (~b(z, s(s(z)))) | (~b(z, 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(z))))))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.03 tff(10385,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[10384, 3411, 66, 3, 10204, 168])).
% 2.84/3.03 tff(10386,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[1392, 10385])).
% 2.84/3.03 tff(10387,plain,
% 2.84/3.03 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[2713, 10386, 63, 1])).
% 2.84/3.03 tff(10388,plain,
% 2.84/3.03 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[279, 10387])).
% 2.84/3.03 tff(10389,plain,
% 2.84/3.03 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[2923, 10388, 66, 498, 1])).
% 2.84/3.03 tff(10390,plain,
% 2.84/3.03 (r(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[2048, 10389])).
% 2.84/3.03 tff(10391,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[10032, 17, 10386, 90, 10298, 10390, 10204])).
% 2.84/3.03 tff(10392,plain,((~b(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))))))) | (~b(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)))))), z)) | (~r(s(s(s(s(s(z))))), 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,[]))).
% 2.84/3.03 tff(10393,plain,
% 2.84/3.03 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[10392, 10371, 90, 66, 10058, 10278, 10363, 3, 168, 5086])).
% 2.84/3.03 tff(10394,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[6546, 10393, 10372])).
% 2.84/3.03 tff(10395,plain,((~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.03 tff(10396,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[10395, 59, 3, 168, 5086, 90, 382])).
% 2.84/3.03 tff(10397,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[122, 10396])).
% 2.84/3.03 tff(10398,plain,
% 2.84/3.03 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[1720, 10397, 90, 3])).
% 2.84/3.03 tff(10399,plain,
% 2.84/3.03 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[232, 10398])).
% 2.84/3.03 tff(10400,plain,
% 2.84/3.03 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[8034, 56, 124, 197, 168])).
% 2.84/3.03 tff(10401,plain,
% 2.84/3.03 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[409, 10400])).
% 2.84/3.03 tff(10402,plain,
% 2.84/3.03 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[401, 10401, 59, 2, 5])).
% 2.84/3.03 tff(10403,plain,
% 2.84/3.03 (b(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[252, 10402])).
% 2.84/3.03 tff(10404,plain,
% 2.84/3.03 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[9102, 10403, 124])).
% 2.84/3.03 tff(10405,plain,
% 2.84/3.03 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[341, 10404])).
% 2.84/3.03 tff(10406,plain,
% 2.84/3.03 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[262, 10403, 56, 124])).
% 2.84/3.03 tff(10407,plain,
% 2.84/3.03 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[279, 10406])).
% 2.84/3.03 tff(10408,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[2100, 10407, 10405, 3, 5])).
% 2.84/3.03 tff(10409,plain,((~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z)) | (~r(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.03 tff(10410,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[10409, 124, 5, 3, 59, 2, 197, 168])).
% 2.84/3.03 tff(10411,plain,
% 2.84/3.03 (r(s(s(z)), z)),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[1392, 10410])).
% 2.84/3.03 tff(10412,plain,
% 2.84/3.03 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[2482, 10411, 2, 5])).
% 2.84/3.03 tff(10413,plain,
% 2.84/3.03 (b(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[252, 10412])).
% 2.84/3.03 tff(10414,plain,
% 2.84/3.03 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[9102, 10413, 124])).
% 2.84/3.03 tff(10415,plain,
% 2.84/3.03 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[341, 10414])).
% 2.84/3.03 tff(10416,plain,
% 2.84/3.03 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[455, 10413, 382, 124])).
% 2.84/3.03 tff(10417,plain,
% 2.84/3.03 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[165, 10416])).
% 2.84/3.03 tff(10418,plain,
% 2.84/3.03 ($false),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[2185, 10417, 10415, 67, 3, 5])).
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% 2.84/3.03 tff(10420,plain,
% 2.84/3.03 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[10419, 5, 3, 9915, 382, 2, 59, 9918, 168])).
% 2.84/3.03 tff(10421,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[538, 10420])).
% 2.84/3.03 tff(10422,plain,
% 2.84/3.03 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[8940, 10421, 3, 2, 90])).
% 2.84/3.03 tff(10423,plain,
% 2.84/3.03 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[279, 10422])).
% 2.84/3.03 tff(10424,plain,
% 2.84/3.03 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[4183, 10423, 90, 2, 10421, 5])).
% 2.84/3.03 tff(10425,plain,
% 2.84/3.03 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[361, 10424])).
% 2.84/3.03 tff(10426,plain,
% 2.84/3.03 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[1140, 10421, 90, 2, 5])).
% 2.84/3.03 tff(10427,plain,
% 2.84/3.03 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[341, 10426])).
% 2.84/3.03 tff(10428,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[3531, 10427, 10423, 168, 382, 9918])).
% 2.84/3.03 tff(10429,plain,
% 2.84/3.03 (r(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[252, 10428])).
% 2.84/3.03 tff(10430,plain,
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% 2.84/3.03 tff(10432,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[10431, 10397, 3, 168, 382, 90, 59])).
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[8940, 1, 3, 2, 90])).
% 2.84/3.03 tff(10435,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[279, 10434])).
% 2.84/3.03 tff(10436,plain,
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% 2.84/3.03 tff(10437,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[409, 10436])).
% 2.84/3.03 tff(10438,plain,
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% 2.84/3.03 tff(10439,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[361, 10438])).
% 2.84/3.03 tff(10440,plain,
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% 2.84/3.03 inference(unit_resolution,[status(thm)],[2774, 10435, 498, 2147])).
% 2.84/3.03 tff(10441,plain,
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% 2.84/3.03 inference(rewrite,[status(thm)],[])).
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% 2.84/3.03 (((~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(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))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.84/3.03 inference(rewrite,[status(thm)],[])).
% 2.84/3.03 tff(10446,plain,
% 2.84/3.03 (((~![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(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(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))))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 2.84/3.03 inference(monotonicity,[status(thm)],[10445])).
% 2.84/3.03 tff(10447,plain,
% 2.84/3.03 (((~![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(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(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))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.84/3.03 inference(transitivity,[status(thm)],[10446, 10444])).
% 2.84/3.03 tff(10448,plain,
% 2.84/3.03 ((~![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(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)))),
% 2.84/3.03 inference(quant_inst,[status(thm)],[])).
% 2.84/3.03 tff(10449,plain,
% 2.84/3.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.84/3.03 inference(modus_ponens,[status(thm)],[10448, 10447])).
% 2.84/3.03 tff(10450,plain,
% 2.84/3.03 ($false),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[10449, 17, 9915, 90, 2926, 1537, 10204])).
% 2.84/3.03 tff(10451,plain,((~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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.03 tff(10452,plain,
% 2.84/3.03 (~r(s(s(s(s(z)))), s(z))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[10451, 10300, 10298, 90])).
% 2.84/3.03 tff(10453,plain,
% 2.84/3.03 (b(s(s(s(s(z)))), s(z))),
% 2.84/3.03 inference(unit_resolution,[status(thm)],[1573, 10452])).
% 2.84/3.03 tff(10454,plain,
% 2.84/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))))),
% 2.84/3.03 inference(rewrite,[status(thm)],[])).
% 2.84/3.03 tff(10455,plain,
% 2.84/3.03 (((~b(s(s(s(s(z)))), s(z))) | (~b(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(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))))),
% 2.84/3.03 inference(rewrite,[status(thm)],[])).
% 2.84/3.03 tff(10456,plain,
% 2.84/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z)))))),
% 2.84/3.03 inference(monotonicity,[status(thm)],[10455])).
% 2.84/3.03 tff(10457,plain,
% 2.84/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(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(z))))),
% 2.84/3.03 inference(transitivity,[status(thm)],[10456, 10454])).
% 2.84/3.04 tff(10458,plain,
% 2.84/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(z)), s(z))) | (~b(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))))))))),
% 2.84/3.04 inference(quant_inst,[status(thm)],[])).
% 2.84/3.04 tff(10459,plain,
% 2.84/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.84/3.04 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 2.84/3.04 tff(10460,plain,
% 2.84/3.04 ($false),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10459, 102, 7981, 56, 168, 197, 10453, 3411])).
% 2.84/3.04 tff(10461,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(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,[]))).
% 2.84/3.04 tff(10462,plain,
% 2.84/3.04 (~b(z, s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10461, 10443, 168, 9918, 90, 5086])).
% 2.84/3.04 tff(10463,plain,
% 2.84/3.04 (r(z, s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[54, 10462])).
% 2.84/3.04 tff(10464,plain,
% 2.84/3.04 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10010, 10463, 90, 1, 5086, 10439])).
% 2.84/3.04 tff(10465,plain,
% 2.84/3.04 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[341, 10464])).
% 2.84/3.04 tff(10466,plain,
% 2.84/3.04 (~b(s(z), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[1190, 10465, 10439, 2147])).
% 2.84/3.04 tff(10467,plain,
% 2.84/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.04 inference(rewrite,[status(thm)],[])).
% 2.84/3.04 tff(10468,plain,
% 2.84/3.04 (((~b(s(s(z)), z)) | (~b(s(s(z)), 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(z)), s(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)), 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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.04 inference(rewrite,[status(thm)],[])).
% 2.84/3.04 tff(10469,plain,
% 2.84/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.84/3.04 inference(monotonicity,[status(thm)],[10468])).
% 2.84/3.04 tff(10470,plain,
% 2.84/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.04 inference(transitivity,[status(thm)],[10469, 10467])).
% 2.84/3.04 tff(10471,plain,
% 2.84/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.84/3.04 inference(quant_inst,[status(thm)],[])).
% 2.84/3.04 tff(10472,plain,
% 2.84/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.84/3.04 inference(modus_ponens,[status(thm)],[10471, 10470])).
% 2.84/3.04 tff(10473,plain,
% 2.84/3.04 ((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10472, 102, 498, 56, 60])).
% 2.84/3.04 tff(10474,plain,
% 2.84/3.04 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10473, 254])).
% 2.84/3.04 tff(10475,plain,
% 2.84/3.04 (r(s(s(z)), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[232, 10474])).
% 2.84/3.04 tff(10476,plain,
% 2.84/3.04 ($false),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[3938, 10475, 4960, 3, 61])).
% 2.84/3.04 tff(10477,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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))))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10478,plain,
% 2.84/3.04 (~r(s(z), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10477, 10465, 10435, 498, 2147, 10443, 3])).
% 2.84/3.04 tff(10479,plain,
% 2.84/3.04 ($false),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[3202, 10478, 10466])).
% 2.84/3.04 tff(10480,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10481,plain,
% 2.84/3.04 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10480, 63, 3, 90, 5086, 168, 59, 10433, 10397])).
% 2.84/3.04 tff(10482,plain,
% 2.84/3.04 (b(z, s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[538, 10481])).
% 2.84/3.04 tff(10483,plain,
% 2.84/3.04 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10266, 10298, 90, 63, 10300])).
% 2.84/3.04 tff(10484,plain,
% 2.84/3.04 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[2072, 10483])).
% 2.84/3.04 tff(10485,plain,
% 2.84/3.04 ($false),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10274, 102, 498, 168, 124, 382, 3411, 10484])).
% 2.84/3.04 tff(10486,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10487,plain,
% 2.84/3.04 (~b(z, s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10486, 10482, 168, 10433, 382, 90, 63, 5086])).
% 2.84/3.04 tff(10488,plain,
% 2.84/3.04 (r(z, s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[54, 10487])).
% 2.84/3.04 tff(10489,plain,
% 2.84/3.04 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[8005, 10401, 59, 90, 63])).
% 2.84/3.04 tff(10490,plain,
% 2.84/3.04 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[361, 10489])).
% 2.84/3.04 tff(10491,plain,
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% 2.84/3.04 inference(unit_resolution,[status(thm)],[8110, 102, 7981, 56, 10490, 124, 197])).
% 2.84/3.04 tff(10492,plain,((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(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(s(z)))))), z)) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10493,plain,
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% 2.84/3.04 inference(unit_resolution,[status(thm)],[10492, 10482, 10399, 59, 90, 63, 168])).
% 2.84/3.04 tff(10494,plain,
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% 2.84/3.04 inference(unit_resolution,[status(thm)],[1392, 10493])).
% 2.84/3.04 tff(10495,plain,
% 2.84/3.04 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[7127, 7119, 197, 5086])).
% 2.84/3.04 tff(10496,plain,
% 2.84/3.04 (r(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[2048, 10495])).
% 2.84/3.04 tff(10497,plain,
% 2.84/3.04 (~r(s(s(s(s(z)))), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[7254, 10496, 2, 65])).
% 2.84/3.04 tff(10498,plain,
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% 2.84/3.04 inference(unit_resolution,[status(thm)],[2083, 10497])).
% 2.84/3.04 tff(10499,plain,
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% 2.84/3.04 inference(rewrite,[status(thm)],[])).
% 2.84/3.04 tff(10500,plain,
% 2.84/3.04 (((~b(z, s(z))) | (~b(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(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))) <=> ((~b(s(s(z)), s(z))) | (~b(z, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.84/3.04 inference(rewrite,[status(thm)],[])).
% 2.84/3.04 tff(10501,plain,
% 2.84/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.84/3.04 inference(monotonicity,[status(thm)],[10500])).
% 2.84/3.04 tff(10502,plain,
% 2.84/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.84/3.04 inference(transitivity,[status(thm)],[10501, 10499])).
% 2.84/3.04 tff(10503,plain,
% 2.84/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.84/3.04 inference(quant_inst,[status(thm)],[])).
% 2.84/3.04 tff(10504,plain,
% 2.84/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.84/3.04 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 2.84/3.04 tff(10505,plain,
% 2.84/3.04 ($false),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10504, 102, 168, 197, 7119, 5086, 382, 10498])).
% 2.84/3.04 tff(10506,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), 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(z, s(z))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10507,plain,
% 2.84/3.04 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10506, 10494, 10399, 5086, 382, 10397, 168])).
% 2.84/3.04 tff(10508,plain,
% 2.84/3.04 (r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[8907, 10507])).
% 2.84/3.04 tff(10509,plain,
% 2.84/3.04 (((~![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(s(s(s(z))))), s(s(z)))) | (~r(z, s(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)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(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)))))))),
% 2.84/3.04 inference(rewrite,[status(thm)],[])).
% 2.84/3.04 tff(10510,plain,
% 2.84/3.04 (((~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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(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)))))))),
% 2.84/3.04 inference(rewrite,[status(thm)],[])).
% 2.84/3.04 tff(10511,plain,
% 2.84/3.04 (((~![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(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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(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))))))))),
% 2.84/3.04 inference(monotonicity,[status(thm)],[10510])).
% 2.84/3.04 tff(10512,plain,
% 2.84/3.04 (((~![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(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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(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)))))))),
% 2.84/3.04 inference(transitivity,[status(thm)],[10511, 10509])).
% 2.84/3.04 tff(10513,plain,
% 2.84/3.04 ((~![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(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))))))))),
% 2.84/3.04 inference(quant_inst,[status(thm)],[])).
% 2.84/3.04 tff(10514,plain,
% 2.84/3.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.84/3.04 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 2.84/3.04 tff(10515,plain,
% 2.84/3.04 ($false),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10514, 17, 3, 10397, 90, 10508, 10488])).
% 2.84/3.04 tff(10516,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10517,plain,
% 2.84/3.04 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10516, 59, 90, 168, 382, 5086, 3])).
% 2.84/3.04 tff(10518,plain,
% 2.84/3.04 (b(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[252, 10517])).
% 2.84/3.04 tff(10519,plain,
% 2.84/3.04 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[3531, 10435, 4, 168, 382, 9918])).
% 2.84/3.04 tff(10520,plain,
% 2.84/3.04 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[341, 10519])).
% 2.84/3.04 tff(10521,plain,
% 2.84/3.04 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[7983, 10520, 90, 1])).
% 2.84/3.04 tff(10522,plain,
% 2.84/3.04 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[361, 10521])).
% 2.84/3.04 tff(10523,plain,
% 2.84/3.04 (~r(z, s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10010, 10522, 90, 1, 5086, 10520])).
% 2.84/3.04 tff(10524,plain,
% 2.84/3.04 (b(z, s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[54, 10523])).
% 2.84/3.04 tff(10525,plain,
% 2.84/3.04 (~b(s(s(z)), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10461, 10524, 168, 9918, 90, 5086])).
% 2.84/3.04 tff(10526,plain,
% 2.84/3.04 (r(s(s(z)), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[1392, 10525])).
% 2.84/3.04 tff(10527,plain,
% 2.84/3.04 (~b(s(s(s(s(z)))), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10024, 10524, 5086])).
% 2.84/3.04 tff(10528,plain,
% 2.84/3.04 (r(s(s(s(s(z)))), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[2083, 10527])).
% 2.84/3.04 tff(10529,plain,
% 2.84/3.04 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10036, 10524, 498, 4, 10522])).
% 2.84/3.04 tff(10530,plain,
% 2.84/3.04 (r(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[2048, 10529])).
% 2.84/3.04 tff(10531,plain,
% 2.84/3.04 ($false),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[7254, 10530, 10528, 2, 10526])).
% 2.84/3.04 tff(10532,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(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(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10533,plain,
% 2.84/3.04 (~r(z, s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10532, 10397, 10433, 10518, 168, 90, 5086, 382, 3])).
% 2.84/3.04 tff(10534,plain,
% 2.84/3.04 (b(z, s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[538, 10533])).
% 2.84/3.04 tff(10535,plain,
% 2.84/3.04 (~b(s(s(z)), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[8858, 10534, 10433, 10518])).
% 2.84/3.04 tff(10536,plain,
% 2.84/3.04 (r(s(s(z)), z)),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[1392, 10535])).
% 2.84/3.04 tff(10537,plain,
% 2.84/3.04 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10506, 10536, 10399, 5086, 382, 10397, 168])).
% 2.84/3.04 tff(10538,plain,
% 2.84/3.04 (r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[8907, 10537])).
% 2.84/3.04 tff(10539,plain,
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% 2.84/3.04 inference(unit_resolution,[status(thm)],[10514, 17, 3, 2, 90, 7519, 7])).
% 2.84/3.04 tff(10540,plain,((~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(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.04 tff(10541,plain,
% 2.84/3.04 (~r(z, s(s(s(s(z)))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10540, 10397, 3, 90, 10538])).
% 2.84/3.04 tff(10542,plain,
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% 2.84/3.04 inference(unit_resolution,[status(thm)],[54, 10541])).
% 2.84/3.04 tff(10543,plain,
% 2.84/3.04 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[10014, 10542, 5086])).
% 2.84/3.04 tff(10544,plain,
% 2.84/3.04 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[6546, 10543])).
% 2.84/3.04 tff(10545,plain,
% 2.84/3.04 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[9962, 102, 7981, 10433, 10518, 10534])).
% 2.84/3.04 tff(10546,plain,
% 2.84/3.04 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[361, 10545])).
% 2.84/3.04 tff(10547,plain,
% 2.84/3.04 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.04 inference(unit_resolution,[status(thm)],[9102, 10534, 10518])).
% 2.84/3.04 tff(10548,plain,
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% 2.84/3.04 inference(unit_resolution,[status(thm)],[341, 10547])).
% 2.84/3.04 tff(10549,plain,
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% 2.84/3.05 tff(10550,plain,
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% 2.84/3.05 inference(rewrite,[status(thm)],[])).
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% 2.84/3.05 inference(monotonicity,[status(thm)],[10550])).
% 2.84/3.05 tff(10552,plain,
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% 2.84/3.05 inference(transitivity,[status(thm)],[10551, 10549])).
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% 2.84/3.05 inference(quant_inst,[status(thm)],[])).
% 2.84/3.05 tff(10554,plain,
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% 2.84/3.05 inference(modus_ponens,[status(thm)],[10553, 10552])).
% 2.84/3.05 tff(10555,plain,
% 2.84/3.05 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[10554, 17, 10548, 10546, 10544])).
% 2.84/3.05 tff(10556,plain,
% 2.84/3.05 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[2072, 10555])).
% 2.84/3.05 tff(10557,plain,
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% 2.84/3.05 inference(unit_resolution,[status(thm)],[10274, 102, 10433, 168, 10534, 382, 10542, 10556])).
% 2.84/3.05 tff(10558,plain,((~r(s(z), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.05 tff(10559,plain,
% 2.84/3.05 (~r(s(z), z)),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[10558, 5086, 382, 168, 3, 90])).
% 2.84/3.05 tff(10560,plain,
% 2.84/3.05 (b(s(z), z)),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[380, 10559])).
% 2.84/3.05 tff(10561,plain,
% 2.84/3.05 (~b(s(s(z)), z)),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[2744, 10560, 382, 168])).
% 2.84/3.05 tff(10562,plain,
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% 2.84/3.05 inference(unit_resolution,[status(thm)],[1392, 10561])).
% 2.84/3.05 tff(10563,plain,
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% 2.84/3.05 inference(unit_resolution,[status(thm)],[1720, 235, 90, 3])).
% 2.84/3.05 tff(10564,plain,
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% 2.84/3.05 inference(unit_resolution,[status(thm)],[122, 10563])).
% 2.84/3.05 tff(10565,plain,
% 2.84/3.05 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[10032, 17, 65, 90, 10298, 10300])).
% 2.84/3.05 tff(10566,plain,
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% 2.84/3.05 inference(unit_resolution,[status(thm)],[2048, 10565])).
% 2.84/3.05 tff(10567,plain,
% 2.84/3.05 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[10336, 17, 235, 65, 90, 10298])).
% 2.84/3.05 tff(10568,plain,
% 2.84/3.05 (b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[8907, 10567])).
% 2.84/3.05 tff(10569,plain,
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% 2.84/3.05 inference(unit_resolution,[status(thm)],[10344, 102, 66, 168, 10568, 382, 3411, 10566])).
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% 2.84/3.05 tff(10571,plain,
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% 2.84/3.05 tff(10572,plain,
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% 2.84/3.05 inference(rewrite,[status(thm)],[])).
% 2.84/3.05 tff(10579,plain,
% 2.84/3.05 (((~![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(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: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))))),
% 2.84/3.05 inference(monotonicity,[status(thm)],[10578])).
% 2.84/3.05 tff(10580,plain,
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% 2.84/3.05 tff(10581,plain,
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% 2.84/3.05 inference(quant_inst,[status(thm)],[])).
% 2.84/3.05 tff(10582,plain,
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% 2.84/3.05 inference(modus_ponens,[status(thm)],[10581, 10580])).
% 2.84/3.05 tff(10583,plain,
% 2.84/3.05 ($false),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[10582, 17, 1, 90, 64, 7, 6])).
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% 2.84/3.05 tff(10585,plain,
% 2.84/3.05 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[10584, 64, 90, 1, 7])).
% 2.84/3.05 tff(10586,plain,
% 2.84/3.05 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[2072, 10585])).
% 2.84/3.05 tff(10587,plain,
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% 2.84/3.05 inference(unit_resolution,[status(thm)],[7537, 10586, 5086, 10576, 10574])).
% 2.84/3.05 tff(10588,plain,
% 2.84/3.05 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.05 inference(unit_resolution,[status(thm)],[279, 10587])).
% 2.84/3.05 tff(10589,plain,
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% 2.84/3.05 inference(rewrite,[status(thm)],[])).
% 2.84/3.05 tff(10590,plain,
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% 2.84/3.05 tff(10592,plain,
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% 2.84/3.05 tff(10595,plain,
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% 2.84/3.05 tff(10598,plain,
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% 2.84/3.05 tff(10600,plain,
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% 2.84/3.05 tff(10602,plain,
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% 2.84/3.05 tff(10604,plain,
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% 2.84/3.05 tff(10606,plain,
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% 2.84/3.05 inference(rewrite,[status(thm)],[])).
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% 2.84/3.05 inference(monotonicity,[status(thm)],[10606])).
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% 2.84/3.05 tff(10611,plain,
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% 2.84/3.05 tff(10613,plain,
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% 2.84/3.05 tff(10614,plain,
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% 2.84/3.05 tff(10616,plain,
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% 2.84/3.05 inference(rewrite,[status(thm)],[])).
% 2.84/3.05 tff(10618,plain,
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% 2.84/3.05 inference(rewrite,[status(thm)],[])).
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% 2.84/3.06 inference(monotonicity,[status(thm)],[10618])).
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% 2.84/3.06 tff(10666,plain,
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% 2.84/3.06 tff(10668,plain,
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% 2.84/3.06 inference(unit_resolution,[status(thm)],[2072, 10667])).
% 2.84/3.06 tff(10669,plain,
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% 2.84/3.06 tff(10670,plain,
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% 2.84/3.06 tff(10672,plain,
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% 2.84/3.06 tff(10679,plain,
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[496, 10713])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[252, 10717])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[279, 10719])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[496, 10721])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[10728, 10726, 168, 10644, 382])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[279, 10729])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[2713, 10730, 1, 10562])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[252, 10731])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[8940, 10730, 3, 1, 90])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[122, 10733])).
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% 2.84/3.07 tff(10737,plain,
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[10736, 5086, 90, 168, 382, 3])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[1720, 10740, 90, 3])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[232, 10741])).
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% 2.84/3.07 tff(10751,plain,
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[10750, 5086, 90, 168, 382, 3])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[279, 10761])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[10060, 10774, 124, 56])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[361, 10776])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[9160, 3, 9141, 4759, 244, 56])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[341, 10780])).
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% 2.84/3.07 tff(10784,plain,
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[10788, 56, 3, 90, 10760, 168])).
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% 2.84/3.07 inference(unit_resolution,[status(thm)],[3202, 10799])).
% 2.84/3.07 tff(10801,plain,
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% 2.84/3.07 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[341, 10801])).
% 2.84/3.07 tff(10803,plain,
% 2.84/3.07 (((~![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(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(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(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(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.07 inference(rewrite,[status(thm)],[])).
% 2.84/3.07 tff(10804,plain,
% 2.84/3.07 (((~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(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(s(z)))) | (~r(s(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.07 inference(rewrite,[status(thm)],[])).
% 2.84/3.07 tff(10805,plain,
% 2.84/3.07 (((~![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(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(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(s(z)))) | (~r(s(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(z)))), s(s(s(s(s(s(z))))))))))),
% 2.84/3.07 inference(monotonicity,[status(thm)],[10804])).
% 2.84/3.07 tff(10806,plain,
% 2.84/3.07 (((~![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(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(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(s(z)))) | (~r(s(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.07 inference(transitivity,[status(thm)],[10805, 10803])).
% 2.84/3.07 tff(10807,plain,
% 2.84/3.07 ((~![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(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(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 2.84/3.07 inference(quant_inst,[status(thm)],[])).
% 2.84/3.07 tff(10808,plain,
% 2.84/3.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.84/3.07 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 2.84/3.07 tff(10809,plain,
% 2.84/3.07 ($false),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[10808, 17, 5, 3, 305, 4318, 6])).
% 2.84/3.07 tff(10810,plain,((~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(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(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.07 tff(10811,plain,
% 2.84/3.07 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[10810, 10802, 3, 10758, 9916])).
% 2.84/3.07 tff(10812,plain,
% 2.84/3.07 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[2072, 10811])).
% 2.84/3.07 tff(10813,plain,
% 2.84/3.07 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[2100, 10802, 3, 9916])).
% 2.84/3.07 tff(10814,plain,
% 2.84/3.07 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[279, 10813])).
% 2.84/3.07 tff(10815,plain,
% 2.84/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.07 inference(rewrite,[status(thm)],[])).
% 2.84/3.07 tff(10816,plain,
% 2.84/3.07 (((~b(s(s(s(s(s(z))))), z)) | (~b(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), 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(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)))))))))),
% 2.84/3.07 inference(rewrite,[status(thm)],[])).
% 2.84/3.07 tff(10817,plain,
% 2.84/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.84/3.07 inference(monotonicity,[status(thm)],[10816])).
% 2.84/3.07 tff(10818,plain,
% 2.84/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.07 inference(transitivity,[status(thm)],[10817, 10815])).
% 2.84/3.07 tff(10819,plain,
% 2.84/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.84/3.07 inference(quant_inst,[status(thm)],[])).
% 2.84/3.07 tff(10820,plain,
% 2.84/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.84/3.07 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 2.84/3.07 tff(10821,plain,
% 2.84/3.07 ($false),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[10820, 102, 7981, 56, 364, 254, 7119, 3366])).
% 2.84/3.07 tff(10822,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(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(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.07 tff(10823,plain,
% 2.84/3.07 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[10822, 10796, 56, 10814, 10812])).
% 2.84/3.07 tff(10824,plain,
% 2.84/3.07 (r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.07 inference(unit_resolution,[status(thm)],[8907, 10823])).
% 2.84/3.07 tff(10825,plain,
% 2.84/3.07 (((~![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(z))))), 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(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(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(z))))),
% 2.84/3.07 inference(rewrite,[status(thm)],[])).
% 2.84/3.07 tff(10826,plain,
% 2.84/3.07 (((~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(s(s(s(z))))), 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(z))))),
% 2.84/3.08 inference(rewrite,[status(thm)],[])).
% 2.84/3.08 tff(10827,plain,
% 2.84/3.08 (((~![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)))), 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(s(s(s(z))))), 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(z)))))),
% 2.84/3.08 inference(monotonicity,[status(thm)],[10826])).
% 2.84/3.08 tff(10828,plain,
% 2.84/3.08 (((~![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)))), 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(s(s(s(z))))), 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(z))))),
% 2.84/3.08 inference(transitivity,[status(thm)],[10827, 10825])).
% 2.84/3.08 tff(10829,plain,
% 2.84/3.08 ((~![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)))), 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)))))),
% 2.84/3.08 inference(quant_inst,[status(thm)],[])).
% 2.84/3.08 tff(10830,plain,
% 2.84/3.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))),
% 2.84/3.08 inference(modus_ponens,[status(thm)],[10829, 10828])).
% 2.84/3.08 tff(10831,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10830, 17, 67, 3, 7519, 4318, 2926])).
% 2.84/3.08 tff(10832,plain,((~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(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10833,plain,
% 2.84/3.08 (~r(s(s(s(s(z)))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10832, 10824, 9915, 3, 10758])).
% 2.84/3.08 tff(10834,plain,
% 2.84/3.08 (b(s(s(s(s(z)))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[1573, 10833])).
% 2.84/3.08 tff(10835,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z)))), s(z))))),
% 2.84/3.08 inference(rewrite,[status(thm)],[])).
% 2.84/3.08 tff(10836,plain,
% 2.84/3.08 (((~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(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(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(z)))), s(z))))),
% 2.84/3.08 inference(rewrite,[status(thm)],[])).
% 2.84/3.08 tff(10837,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(z)))), s(z)))))),
% 2.84/3.08 inference(monotonicity,[status(thm)],[10836])).
% 2.84/3.08 tff(10838,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(z)))), s(z))))),
% 2.84/3.08 inference(transitivity,[status(thm)],[10837, 10835])).
% 2.84/3.08 tff(10839,plain,
% 2.84/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.84/3.08 inference(quant_inst,[status(thm)],[])).
% 2.84/3.08 tff(10840,plain,
% 2.84/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.84/3.08 inference(modus_ponens,[status(thm)],[10839, 10838])).
% 2.84/3.08 tff(10841,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10840, 102, 7981, 364, 2300, 382, 3366, 3594])).
% 2.84/3.08 tff(10842,plain,((~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(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,[]))).
% 2.84/3.08 tff(10843,plain,
% 2.84/3.08 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10842, 10834, 382, 10812, 10796])).
% 2.84/3.08 tff(10844,plain,
% 2.84/3.08 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[6546, 10843])).
% 2.84/3.08 tff(10845,plain,
% 2.84/3.08 (~b(z, s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10384, 10844, 56, 3, 10794, 168])).
% 2.84/3.08 tff(10846,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10008, 17, 1, 90, 305, 7, 10204])).
% 2.84/3.08 tff(10847,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10848,plain,
% 2.84/3.08 (~r(z, s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10847, 10844, 90, 10802, 10790])).
% 2.84/3.08 tff(10849,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[54, 10848, 10845])).
% 2.84/3.08 tff(10850,plain,(b(s(s(s(s(s(s(z)))))), s(s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | b(s(s(s(s(s(s(z)))))), z)), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10851,plain,
% 2.84/3.08 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10850, 244, 56, 3, 168, 382, 90])).
% 2.84/3.08 tff(10852,plain,
% 2.84/3.08 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[5363, 10851, 168, 10792])).
% 2.84/3.08 tff(10853,plain,
% 2.84/3.08 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[409, 10852])).
% 2.84/3.08 tff(10854,plain,
% 2.84/3.08 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[8005, 10853, 10760, 90, 9090])).
% 2.84/3.08 tff(10855,plain,
% 2.84/3.08 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[361, 10854])).
% 2.84/3.08 tff(10856,plain,
% 2.84/3.08 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[1796, 63, 10760, 10790])).
% 2.84/3.08 tff(10857,plain,
% 2.84/3.08 (b(s(z), s(s(s(s(s(s(z)))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[165, 10856])).
% 2.84/3.08 tff(10858,plain,
% 2.84/3.08 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[5363, 498, 168, 10857])).
% 2.84/3.08 tff(10859,plain,
% 2.84/3.08 (r(s(s(s(s(s(s(z)))))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[409, 10858])).
% 2.84/3.08 tff(10860,plain,
% 2.84/3.08 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[8005, 10859, 10760, 90, 63])).
% 2.84/3.08 tff(10861,plain,
% 2.84/3.08 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[361, 10860])).
% 2.84/3.08 tff(10862,plain,
% 2.84/3.08 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10384, 3411, 56, 3, 66, 168])).
% 2.84/3.08 tff(10863,plain,
% 2.84/3.08 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[6546, 10862])).
% 2.84/3.08 tff(10864,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(X0, 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)))),
% 2.84/3.08 inference(rewrite,[status(thm)],[])).
% 2.84/3.08 tff(10865,plain,
% 2.84/3.08 (((~b(s(s(z)), z)) | (~b(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)))),
% 2.84/3.08 inference(rewrite,[status(thm)],[])).
% 2.84/3.08 tff(10866,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))),
% 2.84/3.08 inference(monotonicity,[status(thm)],[10865])).
% 2.84/3.08 tff(10867,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))),
% 2.84/3.08 inference(transitivity,[status(thm)],[10866, 10864])).
% 2.84/3.08 tff(10868,plain,
% 2.84/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.84/3.08 inference(quant_inst,[status(thm)],[])).
% 2.84/3.08 tff(10869,plain,
% 2.84/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.84/3.08 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 2.84/3.08 tff(10870,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10869, 102, 66, 56, 7119, 3410])).
% 2.84/3.08 tff(10871,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10872,plain,
% 2.84/3.08 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10871, 3410, 56, 66])).
% 2.84/3.08 tff(10873,plain,
% 2.84/3.08 (r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[8907, 10872])).
% 2.84/3.08 tff(10874,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10109, 102, 7981, 66, 168, 2300, 3410, 3594])).
% 2.84/3.08 tff(10875,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10876,plain,
% 2.84/3.08 (~b(s(s(s(s(z)))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10875, 3410, 168, 66, 3594])).
% 2.84/3.08 tff(10877,plain,
% 2.84/3.08 (r(s(s(s(s(z)))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[1573, 10876])).
% 2.84/3.08 tff(10878,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10832, 10877, 10873, 67, 3, 4318])).
% 2.84/3.08 tff(10879,plain,((~b(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(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10880,plain,
% 2.84/3.08 (~b(s(s(s(s(z)))), z)),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10879, 10863, 3, 4318, 168, 66, 67, 56])).
% 2.84/3.08 tff(10881,plain,
% 2.84/3.08 (r(s(s(s(s(z)))), z)),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[2083, 10880])).
% 2.84/3.08 tff(10882,plain,
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% 2.84/3.08 inference(unit_resolution,[status(thm)],[4413, 17, 63, 1, 1537, 6])).
% 2.84/3.08 tff(10883,plain,((~r(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(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10884,plain,
% 2.84/3.08 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10883, 10881, 1, 63])).
% 2.84/3.08 tff(10885,plain,
% 2.84/3.08 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[2072, 10884])).
% 2.84/3.08 tff(10886,plain,
% 2.84/3.08 (~b(s(s(s(s(z)))), s(z))),
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% 2.84/3.08 tff(10887,plain,
% 2.84/3.08 (r(s(s(s(s(z)))), s(z))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[1573, 10886])).
% 2.84/3.08 tff(10888,plain,
% 2.84/3.08 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10832, 10887, 67, 3, 4318])).
% 2.84/3.08 tff(10889,plain,
% 2.84/3.08 (b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[8907, 10888])).
% 2.84/3.08 tff(10890,plain,
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% 2.84/3.08 inference(rewrite,[status(thm)],[])).
% 2.84/3.08 tff(10891,plain,
% 2.84/3.08 (((~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(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z))) <=> ((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, 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)))))))),
% 2.84/3.08 inference(rewrite,[status(thm)],[])).
% 2.84/3.08 tff(10892,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))))),
% 2.84/3.08 inference(monotonicity,[status(thm)],[10891])).
% 2.84/3.08 tff(10893,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))))),
% 2.84/3.08 inference(transitivity,[status(thm)],[10892, 10890])).
% 2.84/3.08 tff(10894,plain,
% 2.84/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), z)))),
% 2.84/3.08 inference(quant_inst,[status(thm)],[])).
% 2.84/3.08 tff(10895,plain,
% 2.84/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.84/3.08 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 2.84/3.08 tff(10896,plain,
% 2.84/3.08 ($false),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10895, 102, 7981, 56, 10889, 3411, 10863])).
% 2.84/3.08 tff(10897,plain,((~b(z, s(s(s(s(z)))))) | (~b(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(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, 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)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.08 tff(10898,plain,
% 2.84/3.08 (~b(z, s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10897, 66, 9915, 3, 10758, 382, 10861, 10790, 63, 168, 56])).
% 2.84/3.08 tff(10899,plain,
% 2.84/3.08 (r(z, s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[54, 10898])).
% 2.84/3.08 tff(10900,plain,
% 2.84/3.08 (~r(s(z), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[9979, 9920, 168, 10760, 3, 66])).
% 2.84/3.08 tff(10901,plain,
% 2.84/3.08 (b(s(z), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[3202, 10900])).
% 2.84/3.08 tff(10902,plain,
% 2.84/3.08 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[1190, 10901, 10857, 10861])).
% 2.84/3.08 tff(10903,plain,
% 2.84/3.08 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[341, 10902])).
% 2.84/3.08 tff(10904,plain,
% 2.84/3.08 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10847, 10899, 90, 10903, 10790])).
% 2.84/3.08 tff(10905,plain,
% 2.84/3.08 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[6546, 10904])).
% 2.84/3.08 tff(10906,plain,
% 2.84/3.08 (~b(s(s(s(s(z)))), z)),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10879, 10905, 3, 10758, 168, 66, 9915, 56])).
% 2.84/3.08 tff(10907,plain,
% 2.84/3.08 (r(s(s(s(s(z)))), z)),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[2083, 10906])).
% 2.84/3.08 tff(10908,plain,
% 2.84/3.08 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.84/3.08 inference(unit_resolution,[status(thm)],[10186, 10907, 10899, 63])).
% 2.84/3.08 tff(10909,plain,
% 2.84/3.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.84/3.09 inference(rewrite,[status(thm)],[])).
% 2.84/3.09 tff(10910,plain,
% 2.84/3.09 (((~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(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(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(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.84/3.09 inference(rewrite,[status(thm)],[])).
% 2.84/3.09 tff(10911,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 2.84/3.09 inference(monotonicity,[status(thm)],[10910])).
% 2.84/3.09 tff(10912,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.84/3.09 inference(transitivity,[status(thm)],[10911, 10909])).
% 2.84/3.09 tff(10913,plain,
% 2.84/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 2.84/3.09 inference(quant_inst,[status(thm)],[])).
% 2.84/3.09 tff(10914,plain,
% 2.84/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.84/3.09 inference(modus_ponens,[status(thm)],[10913, 10912])).
% 2.84/3.09 tff(10915,plain,
% 2.84/3.09 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10914, 102, 7981, 66, 498, 10861, 10905])).
% 2.84/3.09 tff(10916,plain,
% 2.84/3.09 ($false),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 10915, 10908])).
% 2.84/3.09 tff(10917,plain,((~b(z, s(s(z)))) | (~b(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(z))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10918,plain,
% 2.84/3.09 (~b(z, s(s(z)))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10917, 10851, 9090, 3, 168, 56, 90, 382])).
% 2.84/3.09 tff(10919,plain,
% 2.84/3.09 (r(z, s(s(z)))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[122, 10918])).
% 2.84/3.09 tff(10920,plain,
% 2.84/3.09 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[1720, 10919, 90, 3])).
% 2.84/3.09 tff(10921,plain,
% 2.84/3.09 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[232, 10920])).
% 2.84/3.09 tff(10922,plain,
% 2.84/3.09 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[8940, 10919, 3, 10790, 90])).
% 2.84/3.09 tff(10923,plain,
% 2.84/3.09 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[279, 10922])).
% 2.84/3.09 tff(10924,plain,
% 2.84/3.09 ($false),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10728, 10923, 10921, 168, 10855, 382])).
% 2.84/3.09 tff(10925,plain,(b(s(s(s(s(s(s(z)))))), z) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10926,plain,
% 2.84/3.09 (b(s(s(s(s(s(s(z)))))), z)),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10925, 56, 382, 3, 90, 168])).
% 2.84/3.09 tff(10927,plain,
% 2.84/3.09 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[8940, 2, 3, 1, 90])).
% 2.84/3.09 tff(10928,plain,
% 2.84/3.09 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[279, 10927])).
% 2.84/3.09 tff(10929,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[3531, 10928, 9918, 4, 168, 382, 60])).
% 2.84/3.09 tff(10930,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(z))) | (~b(z, 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(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10931,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[10930, 60, 168, 382, 10926, 3, 10790, 90])).
% 2.84/3.09 tff(10932,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[122, 10931])).
% 2.84/3.09 tff(10933,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[9223, 102, 7981, 10932, 56, 10926, 60])).
% 2.84/3.09 tff(10934,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10935,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[10934, 56, 168, 382, 3, 90])).
% 2.84/3.09 tff(10936,plain,
% 2.84/3.09 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[341, 10935])).
% 2.84/3.09 tff(10937,plain,
% 2.84/3.09 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[7983, 10936, 90, 10790])).
% 2.84/3.09 tff(10938,plain,
% 2.84/3.09 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[361, 10937])).
% 2.84/3.09 tff(10939,plain,
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% 2.84/3.09 tff(10940,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[122, 10939])).
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[1720, 10940, 90, 3])).
% 2.84/3.09 tff(10942,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[232, 10941])).
% 2.84/3.09 tff(10943,plain,
% 2.84/3.09 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[8940, 10940, 3, 10790, 90])).
% 2.84/3.09 tff(10944,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[279, 10943])).
% 2.84/3.09 tff(10945,plain,
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% 2.84/3.09 tff(10947,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[10946, 3, 382, 168, 90])).
% 2.84/3.09 tff(10948,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[1392, 10947])).
% 2.84/3.09 tff(10949,plain,
% 2.84/3.09 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[2482, 63, 10948, 2])).
% 2.84/3.09 tff(10950,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[496, 10949])).
% 2.84/3.09 tff(10951,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[8884, 7, 90, 4318, 2])).
% 2.84/3.09 tff(10952,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[2048, 10951])).
% 2.84/3.09 tff(10953,plain,
% 2.84/3.09 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10540, 7, 3, 90, 2])).
% 2.84/3.09 tff(10954,plain,
% 2.84/3.09 (b(s(s(z)), s(s(s(s(z)))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[8907, 10953])).
% 2.84/3.09 tff(10955,plain,
% 2.84/3.09 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[5128, 102, 498, 10954, 10952])).
% 2.84/3.09 tff(10956,plain,
% 2.84/3.09 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 10955])).
% 2.84/3.09 tff(10957,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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)))))))))),
% 2.84/3.09 inference(rewrite,[status(thm)],[])).
% 2.84/3.09 tff(10958,plain,
% 2.84/3.09 (((~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(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)))))), 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)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.09 inference(rewrite,[status(thm)],[])).
% 2.84/3.09 tff(10959,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), 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))))))))))),
% 2.84/3.09 inference(monotonicity,[status(thm)],[10958])).
% 2.84/3.09 tff(10960,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), 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)))))))))),
% 2.84/3.09 inference(transitivity,[status(thm)],[10959, 10957])).
% 2.84/3.09 tff(10961,plain,
% 2.84/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.84/3.09 inference(quant_inst,[status(thm)],[])).
% 2.84/3.09 tff(10962,plain,
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% 2.84/3.09 inference(modus_ponens,[status(thm)],[10961, 10960])).
% 2.84/3.09 tff(10963,plain,
% 2.84/3.09 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10962, 102, 498, 10954, 10952])).
% 2.84/3.09 tff(10964,plain,
% 2.84/3.09 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[2072, 10963])).
% 2.84/3.09 tff(10965,plain,
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% 2.84/3.09 tff(10966,plain,((~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)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10967,plain,
% 2.84/3.09 (~r(z, s(s(s(s(z)))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10966, 305, 10758, 10950, 3, 90, 2])).
% 2.84/3.09 tff(10968,plain,
% 2.84/3.09 (b(z, s(s(s(s(z)))))),
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% 2.84/3.09 tff(10969,plain,
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% 2.84/3.09 tff(10970,plain,((~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(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10971,plain,
% 2.84/3.09 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10970, 10968, 168, 124, 382, 10950])).
% 2.84/3.09 tff(10972,plain,
% 2.84/3.09 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[2072, 10971])).
% 2.84/3.09 tff(10973,plain,
% 2.84/3.09 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[4153, 61, 67, 64])).
% 2.84/3.09 tff(10974,plain,
% 2.84/3.09 (b(s(s(s(s(s(s(z)))))), s(z))),
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% 2.84/3.09 tff(10975,plain,
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% 2.84/3.09 tff(10976,plain,((~r(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)))) | (~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(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10977,plain,
% 2.84/3.09 (~r(s(z), s(s(s(s(s(z))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[10976, 305, 10950, 64, 168, 9915])).
% 2.84/3.09 tff(10978,plain,
% 2.84/3.09 (b(s(z), s(s(s(s(s(z))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[3202, 10977])).
% 2.84/3.09 tff(10979,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.84/3.09 inference(rewrite,[status(thm)],[])).
% 2.84/3.09 tff(10980,plain,
% 2.84/3.09 (((~b(s(z), z)) | (~b(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(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.84/3.09 inference(rewrite,[status(thm)],[])).
% 2.84/3.09 tff(10981,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 2.84/3.09 inference(monotonicity,[status(thm)],[10980])).
% 2.84/3.09 tff(10982,plain,
% 2.84/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 2.84/3.09 inference(transitivity,[status(thm)],[10981, 10979])).
% 2.84/3.09 tff(10983,plain,
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% 2.84/3.09 tff(10984,plain,
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% 2.84/3.09 inference(modus_ponens,[status(thm)],[10983, 10982])).
% 2.84/3.09 tff(10985,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[10984, 102, 7981, 382, 91, 363])).
% 2.84/3.09 tff(10986,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.09 tff(10987,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[10986, 10978, 382])).
% 2.84/3.09 tff(10988,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[380, 10987])).
% 2.84/3.09 tff(10989,plain,
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% 2.84/3.09 tff(10990,plain,
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% 2.84/3.09 tff(10991,plain,
% 2.84/3.09 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.84/3.09 inference(unit_resolution,[status(thm)],[5363, 10990, 168, 10950])).
% 2.84/3.09 tff(10992,plain,
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% 2.84/3.09 inference(unit_resolution,[status(thm)],[165, 10991])).
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% 2.84/3.09 inference(rewrite,[status(thm)],[])).
% 2.84/3.09 tff(10994,plain,
% 2.84/3.09 (((~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(z), z)) | (~r(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(s(s(s(s(s(z)))))))) | (~r(s(z), s(s(s(s(z)))))))),
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% 2.84/3.09 tff(10995,plain,
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% 2.84/3.09 inference(monotonicity,[status(thm)],[10994])).
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% 2.84/3.09 tff(10998,plain,
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% 2.84/3.10 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 2.84/3.10 tff(10999,plain,
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% 2.84/3.10 inference(unit_resolution,[status(thm)],[10998, 17, 59, 63, 167, 6])).
% 2.84/3.10 tff(11000,assumption,(~b(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.84/3.10 tff(11001,plain,
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% 2.84/3.10 inference(unit_resolution,[status(thm)],[4276, 49, 11000])).
% 2.84/3.10 tff(11002,plain,
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% 2.84/3.10 inference(unit_resolution,[status(thm)],[11001, 10999, 4043])).
% 2.84/3.10 tff(11003,plain,(b(s(z), s(s(s(s(z))))) | (~r(s(z), z)) | (~r(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(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.10 tff(11004,plain,
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% 2.84/3.10 inference(unit_resolution,[status(thm)],[11003, 10988, 63, 10992, 10972])).
% 2.84/3.10 tff(11005,plain,
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% 2.84/3.10 inference(unit_resolution,[status(thm)],[1419, 10988, 10948, 2])).
% 2.84/3.10 tff(11006,plain,
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% 2.84/3.10 inference(unit_resolution,[status(thm)],[698, 11005])).
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% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, 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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11008,plain,
% 2.84/3.10 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z))))) <=> ((~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11009,plain,
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% 2.84/3.10 inference(monotonicity,[status(thm)],[11008])).
% 2.84/3.10 tff(11010,plain,
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% 2.84/3.10 tff(11011,plain,
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% 2.84/3.10 inference(quant_inst,[status(thm)],[])).
% 2.84/3.10 tff(11012,plain,
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% 2.84/3.10 inference(modus_ponens,[status(thm)],[11011, 11010])).
% 2.84/3.10 tff(11013,plain,
% 2.84/3.10 ($false),
% 2.84/3.10 inference(unit_resolution,[status(thm)],[11012, 102, 11006, 7981, 9918, 10968, 10978, 11004])).
% 2.84/3.10 tff(11014,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~b(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(z, s(s(z)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.10 tff(11015,plain,
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% 2.84/3.10 inference(unit_resolution,[status(thm)],[11014, 64, 168, 90, 63, 2, 382, 124, 3])).
% 2.84/3.10 tff(11016,plain,
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% 2.84/3.10 tff(11017,plain,
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% 2.84/3.10 tff(11018,plain,
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% 2.84/3.10 tff(11020,plain,
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% 2.84/3.10 tff(11021,plain,
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% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11022,plain,
% 2.84/3.10 (((~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(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(s(s(z)), s(s(s(s(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(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11023,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.84/3.10 inference(monotonicity,[status(thm)],[11022])).
% 2.84/3.10 tff(11024,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.10 inference(transitivity,[status(thm)],[11023, 11021])).
% 2.84/3.10 tff(11025,plain,
% 2.84/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.84/3.10 inference(quant_inst,[status(thm)],[])).
% 2.84/3.10 tff(11026,plain,
% 2.84/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.84/3.10 inference(modus_ponens,[status(thm)],[11025, 11024])).
% 2.84/3.10 tff(11027,plain,
% 2.84/3.10 ($false),
% 2.84/3.10 inference(unit_resolution,[status(thm)],[11026, 102, 498, 60, 197, 3366, 11020])).
% 2.84/3.10 tff(11028,plain,((~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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(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(z)))))) | (~r(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.10 tff(11029,plain,
% 2.84/3.10 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.10 inference(unit_resolution,[status(thm)],[11028, 11016, 10950, 9918, 90, 10758, 2, 168, 124, 382])).
% 2.84/3.10 tff(11030,plain,
% 2.84/3.10 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.84/3.10 inference(unit_resolution,[status(thm)],[2072, 11029])).
% 2.84/3.10 tff(11031,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11032,plain,
% 2.84/3.10 (((~b(s(s(z)), 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(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(z)), 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(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11033,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 2.84/3.10 inference(monotonicity,[status(thm)],[11032])).
% 2.84/3.10 tff(11034,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.10 inference(transitivity,[status(thm)],[11033, 11031])).
% 2.84/3.10 tff(11035,plain,
% 2.84/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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))))))))),
% 2.84/3.10 inference(quant_inst,[status(thm)],[])).
% 2.84/3.10 tff(11036,plain,
% 2.84/3.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 2.84/3.10 inference(modus_ponens,[status(thm)],[11035, 11034])).
% 2.84/3.10 tff(11037,plain,
% 2.84/3.10 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.10 inference(unit_resolution,[status(thm)],[11036, 102, 10950, 168, 11016, 9918])).
% 2.84/3.10 tff(11038,plain,
% 2.84/3.10 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.84/3.10 inference(unit_resolution,[status(thm)],[279, 11037])).
% 2.84/3.10 tff(11039,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11040,plain,
% 2.84/3.10 (((~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(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(s(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(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(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.84/3.10 inference(rewrite,[status(thm)],[])).
% 2.84/3.10 tff(11041,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(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(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(X0, 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(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(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.84/3.10 inference(monotonicity,[status(thm)],[11040])).
% 2.84/3.10 tff(11042,plain,
% 2.84/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(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(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(X0, 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(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(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.84/3.11 inference(transitivity,[status(thm)],[11041, 11039])).
% 2.84/3.11 tff(11043,plain,
% 2.84/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(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(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.84/3.11 inference(quant_inst,[status(thm)],[])).
% 2.84/3.11 tff(11044,plain,
% 2.84/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.84/3.11 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 2.84/3.11 tff(11045,plain,
% 2.84/3.11 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[11044, 102, 498, 60, 9918, 10952])).
% 2.84/3.11 tff(11046,plain,
% 2.84/3.11 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[6546, 11045])).
% 2.84/3.11 tff(11047,plain,
% 2.84/3.11 (((~![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(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.84/3.11 inference(rewrite,[status(thm)],[])).
% 2.84/3.11 tff(11048,plain,
% 2.84/3.11 (((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, 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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.84/3.11 inference(rewrite,[status(thm)],[])).
% 2.84/3.11 tff(11049,plain,
% 2.84/3.11 (((~![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(s(z)))) | (~r(z, 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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))))),
% 2.84/3.11 inference(monotonicity,[status(thm)],[11048])).
% 2.84/3.11 tff(11050,plain,
% 2.84/3.11 (((~![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(s(z)))) | (~r(z, 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(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.84/3.11 inference(transitivity,[status(thm)],[11049, 11047])).
% 2.84/3.11 tff(11051,plain,
% 2.84/3.11 ((~![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(s(z)))) | (~r(z, 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)))))))),
% 2.84/3.11 inference(quant_inst,[status(thm)],[])).
% 2.84/3.11 tff(11052,plain,
% 2.84/3.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))),
% 2.84/3.11 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 2.84/3.11 tff(11053,plain,
% 2.84/3.11 ($false),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[11052, 17, 3, 2, 90, 7, 11046])).
% 2.84/3.11 tff(11054,plain,((~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))))))) | (~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)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.11 tff(11055,plain,
% 2.84/3.11 (~r(z, s(s(s(s(z)))))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[11054, 11016, 2, 90, 10950, 3, 10758])).
% 2.84/3.11 tff(11056,plain,
% 2.84/3.11 (b(z, s(s(s(s(z)))))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[54, 11055])).
% 2.84/3.11 tff(11057,plain,
% 2.84/3.11 (((~![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(s(z)))) | (~r(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(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(z))))), s(s(z)))) | (~r(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.11 inference(rewrite,[status(thm)],[])).
% 2.84/3.11 tff(11058,plain,
% 2.84/3.11 (((~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(s(z))))), s(s(z)))) | (~r(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.11 inference(rewrite,[status(thm)],[])).
% 2.84/3.11 tff(11059,plain,
% 2.84/3.11 (((~![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(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(s(z))))), s(s(z)))) | (~r(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.84/3.11 inference(monotonicity,[status(thm)],[11058])).
% 2.84/3.11 tff(11060,plain,
% 2.84/3.11 (((~![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(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(s(z))))), s(s(z)))) | (~r(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.84/3.11 inference(transitivity,[status(thm)],[11059, 11057])).
% 2.84/3.11 tff(11061,plain,
% 2.84/3.11 ((~![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(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))))))))),
% 2.84/3.11 inference(quant_inst,[status(thm)],[])).
% 2.84/3.11 tff(11062,plain,
% 2.84/3.11 ((~![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(s(z)))) | (~r(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.84/3.11 inference(modus_ponens,[status(thm)],[11061, 11060])).
% 2.84/3.11 tff(11063,plain,
% 2.84/3.11 ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[11062, 17, 3, 62, 6])).
% 2.84/3.11 tff(11064,plain,
% 2.84/3.11 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[11063, 4477])).
% 2.84/3.11 tff(11065,plain,
% 2.84/3.11 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[6546, 11064])).
% 2.84/3.11 tff(11066,plain,
% 2.84/3.11 (~r(s(s(s(s(z)))), z)),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[7254, 4477, 2, 65])).
% 2.84/3.11 tff(11067,plain,
% 2.84/3.11 (b(s(s(s(s(z)))), z)),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[2083, 11066])).
% 2.84/3.11 tff(11068,plain,
% 2.84/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.84/3.11 inference(rewrite,[status(thm)],[])).
% 2.84/3.11 tff(11069,plain,
% 2.84/3.11 (((~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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.84/3.11 inference(rewrite,[status(thm)],[])).
% 2.84/3.11 tff(11070,plain,
% 2.84/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 2.84/3.11 inference(monotonicity,[status(thm)],[11069])).
% 2.84/3.11 tff(11071,plain,
% 2.84/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.84/3.11 inference(transitivity,[status(thm)],[11070, 11068])).
% 2.84/3.11 tff(11072,plain,
% 2.84/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 2.84/3.11 inference(quant_inst,[status(thm)],[])).
% 2.84/3.11 tff(11073,plain,
% 2.84/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 2.84/3.11 inference(modus_ponens,[status(thm)],[11072, 11071])).
% 2.84/3.11 tff(11074,plain,
% 2.84/3.11 ($false),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[11073, 102, 7981, 3411, 11067, 11065])).
% 2.84/3.11 tff(11075,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(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(z)))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 2.84/3.11 tff(11076,plain,
% 2.84/3.11 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[11075, 11056, 3, 11038, 11030, 2, 10948])).
% 2.84/3.11 tff(11077,plain,
% 2.84/3.11 (b(s(s(s(s(z)))), s(s(z)))),
% 2.84/3.11 inference(unit_resolution,[status(thm)],[2048, 11076])).
% 2.84/3.11 tff(11078,plain,
% 2.84/3.11 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[11044, 102, 10950, 11016, 9918, 11077])).
% 2.94/3.11 tff(11079,plain,
% 2.94/3.11 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[6546, 11078])).
% 2.94/3.11 tff(11080,plain,
% 2.94/3.11 (~r(s(s(s(s(z)))), z)),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[10266, 11079, 90, 11030, 63])).
% 2.94/3.11 tff(11081,plain,
% 2.94/3.11 (b(s(s(s(s(z)))), z)),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[2083, 11080])).
% 2.94/3.11 tff(11082,plain,
% 2.94/3.11 ($false),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[7153, 17, 67, 64, 2926, 6, 10204])).
% 2.94/3.11 tff(11083,plain,((~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(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,[]))).
% 2.94/3.11 tff(11084,plain,
% 2.94/3.11 (~r(s(s(s(s(z)))), s(z))),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[11083, 64, 9915, 11030, 11079])).
% 2.94/3.11 tff(11085,plain,
% 2.94/3.11 (b(s(s(s(s(z)))), s(z))),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[1573, 11084])).
% 2.94/3.11 tff(11086,plain,
% 2.94/3.11 (~b(s(z), z)),
% 2.94/3.11 inference(unit_resolution,[status(thm)],[4474, 11085, 382, 11081])).
% 2.94/3.11 tff(11087,plain,
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% 2.94/3.11 inference(unit_resolution,[status(thm)],[380, 11086])).
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% 2.94/3.12 inference(rewrite,[status(thm)],[])).
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% 2.94/3.12 inference(monotonicity,[status(thm)],[11129])).
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% 2.94/3.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(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(z)))), s(z))))),
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% 2.94/3.12 tff(11140,plain,
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% 2.94/3.12 inference(unit_resolution,[status(thm)],[1419, 11139, 10948, 2])).
% 2.94/3.12 tff(11141,plain,
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% 2.94/3.12 (((~b(s(z), s(s(z)))) | (~b(s(s(s(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(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))))),
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% 2.94/3.12 tff(11143,plain,
% 2.94/3.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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)))))),
% 2.94/3.12 inference(monotonicity,[status(thm)],[11142])).
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% 2.94/3.12 tff(11146,plain,
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% 2.94/3.12 tff(11147,plain,
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% 2.94/3.12 (((~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(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)))))), 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))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
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% 2.94/3.12 inference(transitivity,[status(thm)],[11172, 11170])).
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% 2.94/3.12 inference(quant_inst,[status(thm)],[])).
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% 2.94/3.12 inference(modus_ponens,[status(thm)],[11174, 11173])).
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% 2.94/3.12 tff(11177,plain,
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% 2.94/3.12 tff(11178,plain,((~r(z, s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
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% 2.94/3.12 inference(unit_resolution,[status(thm)],[341, 11185])).
% 2.94/3.12 tff(11187,plain,
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% 2.94/3.12 tff(11189,plain,
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% 2.94/3.12 tff(11190,plain,
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% 2.94/3.12 tff(11192,plain,
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% 2.94/3.12 inference(unit_resolution,[status(thm)],[2072, 11191])).
% 2.94/3.12 tff(11193,plain,
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% 2.94/3.12 inference(unit_resolution,[status(thm)],[3028, 17, 3, 235, 10204])).
% 2.94/3.12 tff(11194,plain,
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% 2.94/3.12 inference(unit_resolution,[status(thm)],[2048, 11193])).
% 2.94/3.12 tff(11195,plain,
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% 2.94/3.12 inference(unit_resolution,[status(thm)],[2330, 17, 90, 4318, 7, 10204])).
% 2.94/3.12 tff(11196,plain,((~r(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)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.12 tff(11197,plain,
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% 2.94/3.12 tff(11198,plain,
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% 2.94/3.12 tff(11199,plain,
% 2.94/3.12 (((~![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(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(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(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(s(s(s(z))))))))),
% 2.94/3.12 inference(rewrite,[status(thm)],[])).
% 2.94/3.12 tff(11200,plain,
% 2.94/3.12 (((~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(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(s(s(s(z))))))))),
% 2.94/3.12 inference(rewrite,[status(thm)],[])).
% 2.94/3.12 tff(11201,plain,
% 2.94/3.12 (((~![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(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(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(s(s(s(z)))))))))),
% 2.94/3.13 inference(monotonicity,[status(thm)],[11200])).
% 2.94/3.13 tff(11202,plain,
% 2.94/3.13 (((~![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(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(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(s(s(s(z))))))))),
% 2.94/3.13 inference(transitivity,[status(thm)],[11201, 11199])).
% 2.94/3.13 tff(11203,plain,
% 2.94/3.13 ((~![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(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))))))))),
% 2.94/3.13 inference(quant_inst,[status(thm)],[])).
% 2.94/3.13 tff(11204,plain,
% 2.94/3.13 ((~![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(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(s(s(z)))), s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(modus_ponens,[status(thm)],[11203, 11202])).
% 2.94/3.13 tff(11205,plain,
% 2.94/3.13 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11204, 17, 235, 4318, 10204])).
% 2.94/3.13 tff(11206,plain,
% 2.94/3.13 (b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[8907, 11205])).
% 2.94/3.13 tff(11207,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.13 inference(rewrite,[status(thm)],[])).
% 2.94/3.13 tff(11208,plain,
% 2.94/3.13 (((~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(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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.13 inference(rewrite,[status(thm)],[])).
% 2.94/3.13 tff(11209,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z))))))))))),
% 2.94/3.13 inference(monotonicity,[status(thm)],[11208])).
% 2.94/3.13 tff(11210,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.13 inference(transitivity,[status(thm)],[11209, 11207])).
% 2.94/3.13 tff(11211,plain,
% 2.94/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))))),
% 2.94/3.13 inference(quant_inst,[status(thm)],[])).
% 2.94/3.13 tff(11212,plain,
% 2.94/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.94/3.13 inference(modus_ponens,[status(thm)],[11211, 11210])).
% 2.94/3.13 tff(11213,plain,
% 2.94/3.13 ($false),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11212, 102, 66, 124, 11206, 11198, 3366, 11194])).
% 2.94/3.13 tff(11214,plain,((~r(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(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)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.13 tff(11215,plain,
% 2.94/3.13 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11214, 11192, 124, 11180, 11190, 10758, 3, 90])).
% 2.94/3.13 tff(11216,plain,
% 2.94/3.13 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 2.94/3.13 tff(11217,plain,
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% 2.94/3.13 inference(rewrite,[status(thm)],[])).
% 2.94/3.13 tff(11218,plain,
% 2.94/3.13 (((~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(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(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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.13 inference(rewrite,[status(thm)],[])).
% 2.94/3.13 tff(11219,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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(z)))), s(s(s(s(s(s(z))))))))))),
% 2.94/3.13 inference(monotonicity,[status(thm)],[11218])).
% 2.94/3.13 tff(11220,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)))))), 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(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.13 inference(transitivity,[status(thm)],[11219, 11217])).
% 2.94/3.13 tff(11221,plain,
% 2.94/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.94/3.13 inference(quant_inst,[status(thm)],[])).
% 2.94/3.13 tff(11222,plain,
% 2.94/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.94/3.13 inference(modus_ponens,[status(thm)],[11221, 11220])).
% 2.94/3.13 tff(11223,plain,
% 2.94/3.13 ($false),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11222, 102, 7981, 11184, 124, 11192, 11216])).
% 2.94/3.13 tff(11224,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.13 tff(11225,plain,
% 2.94/3.13 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11224, 124, 3, 90, 168, 382])).
% 2.94/3.13 tff(11226,plain,
% 2.94/3.13 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[496, 11225])).
% 2.94/3.13 tff(11227,plain,
% 2.94/3.13 (~r(z, s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11196, 10204, 10758, 90])).
% 2.94/3.13 tff(11228,plain,
% 2.94/3.13 (b(z, s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[54, 11227])).
% 2.94/3.13 tff(11229,plain,
% 2.94/3.13 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10970, 11228, 168, 124, 382, 11226])).
% 2.94/3.13 tff(11230,plain,
% 2.94/3.13 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[2072, 11229])).
% 2.94/3.13 tff(11231,plain,
% 2.94/3.13 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[9134, 364, 124])).
% 2.94/3.13 tff(11232,plain,
% 2.94/3.13 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[341, 11231])).
% 2.94/3.13 tff(11233,plain,
% 2.94/3.13 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[1983, 498, 124, 66])).
% 2.94/3.13 tff(11234,plain,
% 2.94/3.13 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[279, 11233])).
% 2.94/3.13 tff(11235,plain,
% 2.94/3.13 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[9964, 364, 124, 66, 3])).
% 2.94/3.13 tff(11236,plain,
% 2.94/3.13 (r(s(s(s(s(s(s(z)))))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[252, 11235])).
% 2.94/3.13 tff(11237,plain,
% 2.94/3.13 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[3317, 11236, 65, 11234, 11232])).
% 2.94/3.13 tff(11238,plain,
% 2.94/3.13 (b(s(s(z)), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[232, 11237])).
% 2.94/3.13 tff(11239,plain,
% 2.94/3.13 ($false),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10092, 102, 7981, 66, 498, 364, 11238])).
% 2.94/3.13 tff(11240,plain,((~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(s(z)))))), s(s(z)))) | (~r(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.13 tff(11241,plain,
% 2.94/3.13 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11240, 11180, 11226, 10948, 124, 3])).
% 2.94/3.13 tff(11242,plain,
% 2.94/3.13 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[361, 11241])).
% 2.94/3.13 tff(11243,plain,
% 2.94/3.13 (~b(s(s(s(s(s(s(z)))))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[9930, 11242, 124, 11180, 3])).
% 2.94/3.13 tff(11244,plain,
% 2.94/3.13 (r(s(s(s(s(s(s(z)))))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[252, 11243])).
% 2.94/3.13 tff(11245,plain,
% 2.94/3.13 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[1983, 11226, 124, 11180])).
% 2.94/3.13 tff(11246,plain,
% 2.94/3.13 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[279, 11245])).
% 2.94/3.13 tff(11247,plain,
% 2.94/3.13 (~r(s(s(s(s(z)))), s(z))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11083, 11230, 9915, 10204, 11242])).
% 2.94/3.13 tff(11248,plain,
% 2.94/3.13 (b(s(s(s(s(z)))), s(z))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[1573, 11247])).
% 2.94/3.13 tff(11249,plain,
% 2.94/3.13 (~r(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10120, 11248, 11180, 11242, 11246, 168, 11244, 3, 11230])).
% 2.94/3.13 tff(11250,plain,
% 2.94/3.13 (b(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[2048, 11249])).
% 2.94/3.13 tff(11251,plain,
% 2.94/3.13 (~r(s(s(s(s(z)))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10266, 11230, 90, 10204, 11244])).
% 2.94/3.13 tff(11252,plain,
% 2.94/3.13 (b(s(s(s(s(z)))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[2083, 11251])).
% 2.94/3.13 tff(11253,plain,
% 2.94/3.13 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11113, 11230, 10948, 11246, 11244])).
% 2.94/3.13 tff(11254,plain,
% 2.94/3.13 (b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[8907, 11253])).
% 2.94/3.13 tff(11255,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)))), 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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.94/3.13 inference(rewrite,[status(thm)],[])).
% 2.94/3.13 tff(11256,plain,
% 2.94/3.13 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.94/3.13 inference(rewrite,[status(thm)],[])).
% 2.94/3.13 tff(11257,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.94/3.13 inference(monotonicity,[status(thm)],[11256])).
% 2.94/3.13 tff(11258,plain,
% 2.94/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(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(X0, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.94/3.13 inference(transitivity,[status(thm)],[11257, 11255])).
% 2.94/3.13 tff(11259,plain,
% 2.94/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(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)))),
% 2.94/3.13 inference(quant_inst,[status(thm)],[])).
% 2.94/3.13 tff(11260,plain,
% 2.94/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.94/3.13 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 2.94/3.13 tff(11261,plain,
% 2.94/3.13 ($false),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11260, 102, 11180, 11254, 11248, 11252, 11250])).
% 2.94/3.13 tff(11262,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~r(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(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.13 tff(11263,plain,
% 2.94/3.13 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[11262, 124, 3, 90, 168, 382])).
% 2.94/3.13 tff(11264,plain,
% 2.94/3.13 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[6546, 11263])).
% 2.94/3.13 tff(11265,plain,
% 2.94/3.13 (~b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10082, 3366, 124, 66, 498])).
% 2.94/3.13 tff(11266,plain,
% 2.94/3.13 (r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[8907, 11265])).
% 2.94/3.13 tff(11267,plain,
% 2.94/3.13 (~r(s(s(s(s(z)))), s(z))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10832, 11266, 67, 3, 4318])).
% 2.94/3.13 tff(11268,plain,
% 2.94/3.13 (b(s(s(s(s(z)))), s(z))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[1573, 11267])).
% 2.94/3.13 tff(11269,plain,
% 2.94/3.13 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10842, 11268, 382, 3594, 3366])).
% 2.94/3.13 tff(11270,plain,
% 2.94/3.13 (~r(s(s(s(s(s(s(z)))))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[10072, 11018, 65, 11234, 11266])).
% 2.94/3.13 tff(11271,plain,
% 2.94/3.13 (b(s(s(s(s(s(s(z)))))), z)),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[252, 11270])).
% 2.94/3.13 tff(11272,plain,
% 2.94/3.13 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[9930, 11271, 124, 66, 3])).
% 2.94/3.13 tff(11273,plain,
% 2.94/3.13 ($false),
% 2.94/3.13 inference(unit_resolution,[status(thm)],[361, 11272, 11269])).
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% 2.94/3.13 tff(11277,plain,
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% 2.94/3.14 tff(11287,plain,
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% 2.94/3.14 tff(11291,plain,
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% 2.94/3.14 tff(11302,plain,
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% 2.94/3.14 tff(11303,plain,
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% 2.94/3.14 tff(11305,plain,
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% 2.94/3.14 tff(11311,plain,
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% 2.94/3.14 tff(11314,plain,
% 2.94/3.14 (((~b(z, s(z))) | (~b(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(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(z))) | (~b(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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
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% 2.94/3.14 tff(11317,plain,
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% 2.94/3.14 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 2.94/3.14 tff(11319,plain,
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% 2.94/3.14 tff(11321,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[538, 11567])).
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[361, 11569])).
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[4153, 11570, 9915, 11544])).
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[409, 11571])).
% 2.94/3.16 tff(11573,plain,
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% 2.94/3.16 tff(11575,plain,
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% 2.94/3.16 tff(11578,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[232, 11578])).
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% 2.94/3.16 tff(11582,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[361, 11584])).
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% 2.94/3.16 tff(11589,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[252, 11593])).
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[538, 11595])).
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[594, 11596, 90, 2, 11592])).
% 2.94/3.16 tff(11598,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[361, 11597])).
% 2.94/3.16 tff(11599,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[10014, 3594, 5086])).
% 2.94/3.16 tff(11600,plain,
% 2.94/3.16 (~r(z, s(s(s(s(z)))))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[10000, 3594, 5086, 364, 1])).
% 2.94/3.16 tff(11601,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[54, 11600, 11599])).
% 2.94/3.16 tff(11602,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(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,[]))).
% 2.94/3.16 tff(11603,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[11602, 3594, 364, 1])).
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% 2.94/3.16 tff(11606,plain,((~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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.16 tff(11607,plain,
% 2.94/3.16 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[11606, 11604, 65, 90, 235])).
% 2.94/3.16 tff(11608,plain,
% 2.94/3.16 (b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[8907, 11607])).
% 2.94/3.16 tff(11609,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.94/3.16 inference(rewrite,[status(thm)],[])).
% 2.94/3.16 tff(11610,plain,
% 2.94/3.16 (((~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(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))))), 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(s(s(z)))), s(s(z)))))),
% 2.94/3.16 inference(rewrite,[status(thm)],[])).
% 2.94/3.16 tff(11611,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.94/3.16 inference(monotonicity,[status(thm)],[11610])).
% 2.94/3.16 tff(11612,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.94/3.16 inference(transitivity,[status(thm)],[11611, 11609])).
% 2.94/3.16 tff(11613,plain,
% 2.94/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.94/3.16 inference(quant_inst,[status(thm)],[])).
% 2.94/3.16 tff(11614,plain,
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% 2.94/3.16 inference(modus_ponens,[status(thm)],[11613, 11612])).
% 2.94/3.16 tff(11615,plain,
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% 2.94/3.16 tff(11617,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[11616, 3594, 57, 65, 90, 235, 1, 364])).
% 2.94/3.16 tff(11618,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[2048, 11617])).
% 2.94/3.16 tff(11619,plain,
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% 2.94/3.16 tff(11620,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[2083, 11619])).
% 2.94/3.16 tff(11621,plain,
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% 2.94/3.16 tff(11622,plain,
% 2.94/3.16 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[2114, 11621])).
% 2.94/3.16 tff(11623,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[8884, 11618, 90, 2, 11622])).
% 2.94/3.16 tff(11624,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[54, 11623])).
% 2.94/3.16 tff(11625,plain,
% 2.94/3.16 (((~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(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(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)))),
% 2.94/3.16 inference(rewrite,[status(thm)],[])).
% 2.94/3.16 tff(11626,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 2.94/3.16 inference(monotonicity,[status(thm)],[11625])).
% 2.94/3.16 tff(11627,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.94/3.16 inference(transitivity,[status(thm)],[11626, 11068])).
% 2.94/3.16 tff(11628,plain,
% 2.94/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.94/3.16 inference(quant_inst,[status(thm)],[])).
% 2.94/3.16 tff(11629,plain,
% 2.94/3.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 2.94/3.16 inference(modus_ponens,[status(thm)],[11628, 11627])).
% 2.94/3.16 tff(11630,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[11629, 102, 7981, 3411, 3410, 3594])).
% 2.94/3.16 tff(11631,plain,((~b(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,[]))).
% 2.94/3.16 tff(11632,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[11631, 11624, 11620, 3594])).
% 2.94/3.16 tff(11633,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(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(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.16 tff(11634,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[11633, 11596, 2, 11523, 11434, 11579, 90, 11598])).
% 2.94/3.16 tff(11635,plain,
% 2.94/3.16 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[6546, 11634])).
% 2.94/3.16 tff(11636,plain,
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% 2.94/3.16 tff(11637,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[2114, 11636])).
% 2.94/3.16 tff(11638,plain,
% 2.94/3.16 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[11602, 11637, 1, 364])).
% 2.94/3.16 tff(11639,plain,
% 2.94/3.16 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[6546, 11638])).
% 2.94/3.16 tff(11640,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[10212, 11639, 65, 235, 7519])).
% 2.94/3.16 tff(11641,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[54, 11640])).
% 2.94/3.16 tff(11642,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[10024, 11641, 11637])).
% 2.94/3.16 tff(11643,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[2083, 11642])).
% 2.94/3.16 tff(11644,plain,
% 2.94/3.16 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[10036, 11641, 4, 498, 364])).
% 2.94/3.16 tff(11645,plain,
% 2.94/3.16 (r(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[2048, 11644])).
% 2.94/3.16 tff(11646,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[7254, 11645, 11643, 65, 2])).
% 2.94/3.16 tff(11647,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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))))))) | (~r(s(s(z)), 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,[]))).
% 2.94/3.16 tff(11648,plain,
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% 2.94/3.16 tff(11649,plain,
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% 2.94/3.16 tff(11650,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), 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(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(X0, 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(z))))), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
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% 2.94/3.16 tff(11651,plain,
% 2.94/3.16 (((~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(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(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.94/3.16 inference(rewrite,[status(thm)],[])).
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% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.94/3.16 inference(monotonicity,[status(thm)],[11651])).
% 2.94/3.16 tff(11653,plain,
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% 2.94/3.16 inference(transitivity,[status(thm)],[11652, 11650])).
% 2.94/3.16 tff(11654,plain,
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% 2.94/3.16 inference(quant_inst,[status(thm)],[])).
% 2.94/3.16 tff(11655,plain,
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% 2.94/3.16 inference(modus_ponens,[status(thm)],[11654, 11653])).
% 2.94/3.16 tff(11656,plain,
% 2.94/3.16 ($false),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[11655, 102, 7981, 498, 57, 60, 7119, 3410])).
% 2.94/3.16 tff(11657,plain,((~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)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.16 tff(11658,plain,
% 2.94/3.16 (~b(s(s(s(s(z)))), z)),
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% 2.94/3.16 tff(11659,plain,
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% 2.94/3.16 tff(11660,plain,
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% 2.94/3.16 tff(11661,plain,
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% 2.94/3.16 tff(11662,plain,
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% 2.94/3.16 tff(11663,plain,
% 2.94/3.16 (b(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.16 inference(unit_resolution,[status(thm)],[2048, 11662])).
% 2.94/3.16 tff(11664,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(s(s(z)))), s(z))))),
% 2.94/3.16 inference(rewrite,[status(thm)],[])).
% 2.94/3.16 tff(11665,plain,
% 2.94/3.16 (((~b(s(s(s(s(z)))), 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(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)))))), 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)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.94/3.16 inference(rewrite,[status(thm)],[])).
% 2.94/3.16 tff(11666,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(s(s(z)))), s(z)))))),
% 2.94/3.16 inference(monotonicity,[status(thm)],[11665])).
% 2.94/3.16 tff(11667,plain,
% 2.94/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(s(s(z)))), s(z))))),
% 2.94/3.16 inference(transitivity,[status(thm)],[11666, 11664])).
% 2.94/3.16 tff(11668,plain,
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% 2.94/3.16 inference(quant_inst,[status(thm)],[])).
% 2.94/3.16 tff(11669,plain,
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% 2.94/3.16 inference(modus_ponens,[status(thm)],[11668, 11667])).
% 2.94/3.16 tff(11670,plain,
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% 2.94/3.16 tff(11672,plain,
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[11671, 11663, 498, 11649, 11661])).
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[2072, 11672])).
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% 2.94/3.16 inference(unit_resolution,[status(thm)],[8949, 11675, 11596, 11673])).
% 2.94/3.16 tff(11677,assumption,(~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), introduced(assumption)).
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% 2.94/3.16 tff(11679,plain,(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)))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.17 tff(11680,plain,
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% 2.94/3.17 tff(11683,plain,
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% 2.94/3.17 tff(11690,plain,((~r(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.17 tff(11691,plain,
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% 2.94/3.17 tff(11695,plain,
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% 2.94/3.17 tff(11700,plain,
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% 2.94/3.17 tff(11703,plain,
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% 2.94/3.17 tff(11707,plain,
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% 2.94/3.17 tff(11731,assumption,(b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.94/3.17 tff(11732,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.94/3.17 inference(rewrite,[status(thm)],[])).
% 2.94/3.17 tff(11733,plain,
% 2.94/3.17 (((~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(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(z, 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(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(s(s(z)))))))),
% 2.94/3.17 inference(rewrite,[status(thm)],[])).
% 2.94/3.17 tff(11734,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 2.94/3.17 inference(monotonicity,[status(thm)],[11733])).
% 2.94/3.17 tff(11735,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 2.94/3.17 inference(transitivity,[status(thm)],[11734, 11732])).
% 2.94/3.17 tff(11736,plain,
% 2.94/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 2.94/3.17 inference(quant_inst,[status(thm)],[])).
% 2.94/3.17 tff(11737,plain,
% 2.94/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 2.94/3.17 inference(modus_ponens,[status(thm)],[11736, 11735])).
% 2.94/3.17 tff(11738,plain,
% 2.94/3.17 ($false),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11737, 102, 7981, 66, 4, 364, 7119, 11731])).
% 2.94/3.17 tff(11739,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(z, 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(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.17 tff(11740,plain,
% 2.94/3.17 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11739, 11730, 4, 364, 66])).
% 2.94/3.17 tff(11741,plain,
% 2.94/3.17 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11679, 11740])).
% 2.94/3.17 tff(11742,plain,
% 2.94/3.17 (~r(z, s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[8949, 11741, 1, 11728])).
% 2.94/3.17 tff(11743,plain,
% 2.94/3.17 (b(z, s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[54, 11742])).
% 2.94/3.17 tff(11744,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(z)), s(s(s(s(z)))))))),
% 2.94/3.17 inference(rewrite,[status(thm)],[])).
% 2.94/3.17 tff(11745,plain,
% 2.94/3.17 (((~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(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), 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(z)), s(s(s(s(z)))))))),
% 2.94/3.17 inference(rewrite,[status(thm)],[])).
% 2.94/3.17 tff(11746,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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(z)), s(s(s(s(z))))))))),
% 2.94/3.17 inference(monotonicity,[status(thm)],[11745])).
% 2.94/3.17 tff(11747,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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(z)), s(s(s(s(z)))))))),
% 2.94/3.17 inference(transitivity,[status(thm)],[11746, 11744])).
% 2.94/3.17 tff(11748,plain,
% 2.94/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))),
% 2.94/3.17 inference(quant_inst,[status(thm)],[])).
% 2.94/3.17 tff(11749,plain,
% 2.94/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z))))))),
% 2.94/3.17 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 2.94/3.17 tff(11750,plain,
% 2.94/3.17 ($false),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11749, 102, 66, 57, 11730, 11743, 3594])).
% 2.94/3.17 tff(11751,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(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(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.17 tff(11752,plain,
% 2.94/3.17 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11751, 11553, 11434, 66, 4, 11720, 11523, 90])).
% 2.94/3.17 tff(11753,plain,
% 2.94/3.17 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[6546, 11752])).
% 2.94/3.17 tff(11754,plain,
% 2.94/3.17 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11616, 1588, 11434, 11523, 90, 11696, 364, 1])).
% 2.94/3.17 tff(11755,plain,
% 2.94/3.17 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[6546, 11754])).
% 2.94/3.17 tff(11756,plain,
% 2.94/3.17 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11606, 7519, 11523, 90, 11696])).
% 2.94/3.17 tff(11757,plain,
% 2.94/3.17 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[2114, 11756])).
% 2.94/3.17 tff(11758,plain,
% 2.94/3.17 (~r(z, s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[10212, 7519, 11523, 11696, 10204])).
% 2.94/3.17 tff(11759,plain,
% 2.94/3.17 (b(z, s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[54, 11758])).
% 2.94/3.17 tff(11760,plain,
% 2.94/3.17 ($false),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[10570, 11759, 11757, 168, 382, 11523, 66, 90, 11696])).
% 2.94/3.17 tff(11761,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, 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,[]))).
% 2.94/3.17 tff(11762,plain,
% 2.94/3.17 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11761, 11755, 382, 66, 90, 168])).
% 2.94/3.17 tff(11763,plain,
% 2.94/3.17 (b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[8907, 11762])).
% 2.94/3.17 tff(11764,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.94/3.17 inference(rewrite,[status(thm)],[])).
% 2.94/3.17 tff(11765,plain,
% 2.94/3.17 (((~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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.94/3.17 inference(rewrite,[status(thm)],[])).
% 2.94/3.17 tff(11766,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), 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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 2.94/3.17 inference(monotonicity,[status(thm)],[11765])).
% 2.94/3.17 tff(11767,plain,
% 2.94/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), 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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 2.94/3.17 inference(transitivity,[status(thm)],[11766, 11764])).
% 2.94/3.17 tff(11768,plain,
% 2.94/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)), 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)))),
% 2.94/3.17 inference(quant_inst,[status(thm)],[])).
% 2.94/3.17 tff(11769,plain,
% 2.94/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 2.94/3.17 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 2.94/3.17 tff(11770,plain,
% 2.94/3.17 ($false),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11769, 102, 7981, 66, 11434, 11763, 1588])).
% 2.94/3.17 tff(11771,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~r(z, 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))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.17 tff(11772,plain,
% 2.94/3.17 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11771, 11720, 382, 90, 168, 66, 11553])).
% 2.94/3.17 tff(11773,plain,
% 2.94/3.17 (r(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[2048, 11772])).
% 2.94/3.17 tff(11774,plain,
% 2.94/3.17 (~r(s(s(s(s(z)))), z)),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[10032, 17, 11523, 90, 11773, 11753])).
% 2.94/3.17 tff(11775,plain,
% 2.94/3.17 (b(s(s(s(s(z)))), z)),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[2083, 11774])).
% 2.94/3.17 tff(11776,plain,
% 2.94/3.17 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.17 inference(unit_resolution,[status(thm)],[11761, 11753, 382, 66, 90, 168])).
% 2.94/3.17 tff(11777,plain,
% 2.94/3.18 (b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[8907, 11776])).
% 2.94/3.18 tff(11778,plain,
% 2.94/3.18 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11739, 11777, 4, 11720, 66])).
% 2.94/3.18 tff(11779,plain,
% 2.94/3.18 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11679, 11778])).
% 2.94/3.18 tff(11780,plain,
% 2.94/3.18 ($false),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[10636, 17, 67, 235, 2926, 4477, 10204])).
% 2.94/3.18 tff(11781,plain,((~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(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.18 tff(11782,plain,
% 2.94/3.18 (~r(s(s(s(s(z)))), s(z))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11781, 11753, 11696, 11773, 9915])).
% 2.94/3.18 tff(11783,plain,
% 2.94/3.18 (b(s(s(s(s(z)))), s(z))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[1573, 11782])).
% 2.94/3.18 tff(11784,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z))))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11785,plain,
% 2.94/3.18 (((~b(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(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(s(z)))) | (~b(s(s(z)), 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(z)))), s(z))))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11786,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z)))))),
% 2.94/3.18 inference(monotonicity,[status(thm)],[11785])).
% 2.94/3.18 tff(11787,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z))))),
% 2.94/3.18 inference(transitivity,[status(thm)],[11786, 11784])).
% 2.94/3.18 tff(11788,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, 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)))))))))),
% 2.94/3.18 inference(quant_inst,[status(thm)],[])).
% 2.94/3.18 tff(11789,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(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(z)))), s(z)))),
% 2.94/3.18 inference(modus_ponens,[status(thm)],[11788, 11787])).
% 2.94/3.18 tff(11790,plain,
% 2.94/3.18 ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11789, 102, 66, 168, 4, 11783])).
% 2.94/3.18 tff(11791,plain,
% 2.94/3.18 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11790, 11775])).
% 2.94/3.18 tff(11792,plain,
% 2.94/3.18 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[2072, 11791])).
% 2.94/3.18 tff(11793,plain,
% 2.94/3.18 (~r(z, s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[8949, 11792, 11553, 11779])).
% 2.94/3.18 tff(11794,plain,
% 2.94/3.18 (b(z, s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[54, 11793])).
% 2.94/3.18 tff(11795,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11796,plain,
% 2.94/3.18 (((~b(z, s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z))))) <=> ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11797,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.94/3.18 inference(monotonicity,[status(thm)],[11796])).
% 2.94/3.18 tff(11798,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.94/3.18 inference(transitivity,[status(thm)],[11797, 11795])).
% 2.94/3.18 tff(11799,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(z)))))),
% 2.94/3.18 inference(quant_inst,[status(thm)],[])).
% 2.94/3.18 tff(11800,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.94/3.18 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 2.94/3.18 tff(11801,plain,
% 2.94/3.18 ($false),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11800, 102, 66, 11777, 11794, 11775])).
% 2.94/3.18 tff(11802,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.18 tff(11803,plain,
% 2.94/3.18 (~b(s(s(s(s(s(s(z)))))), z)),
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% 2.94/3.18 tff(11804,plain,
% 2.94/3.18 (r(s(s(s(s(s(s(z)))))), z)),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[252, 11803])).
% 2.94/3.18 tff(11805,plain,
% 2.94/3.18 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11286, 11804, 11523, 11696, 90])).
% 2.94/3.18 tff(11806,plain,
% 2.94/3.18 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[279, 11805])).
% 2.94/3.18 tff(11807,plain,
% 2.94/3.18 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[1983, 124, 66, 254])).
% 2.94/3.18 tff(11808,plain,
% 2.94/3.18 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[496, 11807])).
% 2.94/3.18 tff(11809,plain,
% 2.94/3.18 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[1162, 11808, 67, 64, 9920])).
% 2.94/3.18 tff(11810,plain,
% 2.94/3.18 (b(s(s(s(s(s(s(z)))))), s(z))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[409, 11809])).
% 2.94/3.18 tff(11811,plain,
% 2.94/3.18 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[3543, 11810, 168, 254])).
% 2.94/3.18 tff(11812,plain,
% 2.94/3.18 (r(s(z), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[165, 11811])).
% 2.94/3.18 tff(11813,plain,
% 2.94/3.18 (~b(s(z), s(s(s(s(s(z))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[1653, 11810, 382, 57, 66, 124])).
% 2.94/3.18 tff(11814,plain,
% 2.94/3.18 (r(s(z), s(s(s(s(s(z))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[3202, 11813])).
% 2.94/3.18 tff(11815,plain,
% 2.94/3.18 ($false),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[4606, 17, 9920, 11808, 11722, 11814, 11812])).
% 2.94/3.18 tff(11816,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(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)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.18 tff(11817,plain,
% 2.94/3.18 (~b(z, s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11816, 64, 11434, 66, 168, 11806, 9915, 382])).
% 2.94/3.18 tff(11818,plain,
% 2.94/3.18 (r(z, s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[538, 11817])).
% 2.94/3.18 tff(11819,plain,
% 2.94/3.18 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[7983, 11818, 90, 64])).
% 2.94/3.18 tff(11820,plain,
% 2.94/3.18 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[341, 11819])).
% 2.94/3.18 tff(11821,plain,
% 2.94/3.18 (~b(z, s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[10570, 5086, 168, 382, 11523, 66, 90, 11696])).
% 2.94/3.18 tff(11822,plain,
% 2.94/3.18 (r(z, s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[54, 11821])).
% 2.94/3.18 tff(11823,plain,
% 2.94/3.18 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[10584, 11822, 90, 64, 11818])).
% 2.94/3.18 tff(11824,plain,
% 2.94/3.18 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[2072, 11823])).
% 2.94/3.18 tff(11825,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11826,plain,
% 2.94/3.18 (((~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(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(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)))))))))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11827,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(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))))))))))),
% 2.94/3.18 inference(monotonicity,[status(thm)],[11826])).
% 2.94/3.18 tff(11828,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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(X0, 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(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)))))))))),
% 2.94/3.18 inference(transitivity,[status(thm)],[11827, 11825])).
% 2.94/3.18 tff(11829,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~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(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)))))))))),
% 2.94/3.18 inference(quant_inst,[status(thm)],[])).
% 2.94/3.18 tff(11830,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.94/3.18 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 2.94/3.18 tff(11831,plain,
% 2.94/3.18 ($false),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11830, 102, 60, 5086, 3366, 11731])).
% 2.94/3.18 tff(11832,plain,((~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(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.18 tff(11833,plain,
% 2.94/3.18 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11832, 11824, 5086, 11820])).
% 2.94/3.18 tff(11834,plain,
% 2.94/3.18 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11679, 11833])).
% 2.94/3.18 tff(11835,plain,
% 2.94/3.18 (~r(s(s(s(s(z)))), z)),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[10186, 11834, 11822, 11804])).
% 2.94/3.18 tff(11836,plain,
% 2.94/3.18 (b(s(s(s(s(z)))), z)),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[2083, 11835])).
% 2.94/3.18 tff(11837,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))), z)))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11838,plain,
% 2.94/3.18 (((~b(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(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(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(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)))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11839,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, 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(X0, 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(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)))), z))))),
% 2.94/3.18 inference(monotonicity,[status(thm)],[11838])).
% 2.94/3.18 tff(11840,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, 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(X0, 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(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)))), z)))),
% 2.94/3.18 inference(transitivity,[status(thm)],[11839, 11837])).
% 2.94/3.18 tff(11841,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, 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)))))))),
% 2.94/3.18 inference(quant_inst,[status(thm)],[])).
% 2.94/3.18 tff(11842,plain,
% 2.94/3.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 2.94/3.18 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 2.94/3.18 tff(11843,plain,
% 2.94/3.18 ($false),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11842, 102, 7981, 66, 11806, 11820, 5086, 11836])).
% 2.94/3.18 tff(11844,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(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))))))) | (~b(s(s(z)), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.18 tff(11845,plain,
% 2.94/3.18 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11844, 64, 90, 66, 168, 382])).
% 2.94/3.18 tff(11846,plain,
% 2.94/3.18 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[2114, 11845])).
% 2.94/3.18 tff(11847,plain,
% 2.94/3.18 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[11606, 11846, 11523, 90, 11696])).
% 2.94/3.18 tff(11848,plain,
% 2.94/3.18 (b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.18 inference(unit_resolution,[status(thm)],[8907, 11847])).
% 2.94/3.18 tff(11849,plain,
% 2.94/3.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(s(s(s(z)))))))))),
% 2.94/3.18 inference(rewrite,[status(thm)],[])).
% 2.94/3.18 tff(11850,plain,
% 2.94/3.18 (((~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(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(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(s(s(s(s(z)))))))))),
% 2.94/3.19 inference(rewrite,[status(thm)],[])).
% 2.94/3.19 tff(11851,plain,
% 2.94/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(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(s(s(s(s(z))))))))))),
% 2.94/3.19 inference(monotonicity,[status(thm)],[11850])).
% 2.94/3.19 tff(11852,plain,
% 2.94/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, 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(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(s(s(s(s(z)))))))))),
% 2.94/3.19 inference(transitivity,[status(thm)],[11851, 11849])).
% 2.94/3.19 tff(11853,plain,
% 2.94/3.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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)))),
% 2.94/3.19 inference(quant_inst,[status(thm)],[])).
% 2.94/3.19 tff(11854,plain,
% 2.94/3.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.94/3.19 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 2.94/3.19 tff(11855,plain,
% 2.94/3.19 ($false),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11854, 102, 7981, 66, 57, 60, 7119, 3366])).
% 2.94/3.19 tff(11856,plain,((~b(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(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))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.19 tff(11857,plain,
% 2.94/3.19 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11856, 11848, 11434, 11820, 66])).
% 2.94/3.19 tff(11858,plain,
% 2.94/3.19 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[2072, 11857])).
% 2.94/3.19 tff(11859,plain,
% 2.94/3.19 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[2442, 11820, 11434, 11806])).
% 2.94/3.19 tff(11860,plain,
% 2.94/3.19 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[496, 11859])).
% 2.94/3.19 tff(11861,plain,
% 2.94/3.19 (~r(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11761, 10204, 382, 66, 90, 168])).
% 2.94/3.19 tff(11862,plain,
% 2.94/3.19 (b(s(s(z)), s(s(s(s(z)))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[8907, 11861])).
% 2.94/3.19 tff(11863,plain,
% 2.94/3.19 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11856, 11862, 11434, 60, 66])).
% 2.94/3.19 tff(11864,plain,
% 2.94/3.19 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[2072, 11863])).
% 2.94/3.19 tff(11865,plain,
% 2.94/3.19 (~r(s(s(s(s(z)))), z)),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[10266, 11864, 90, 11804, 10204])).
% 2.94/3.19 tff(11866,plain,
% 2.94/3.19 (b(s(s(s(s(z)))), z)),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[2083, 11865])).
% 2.94/3.19 tff(11867,plain,
% 2.94/3.19 (~r(s(s(s(s(z)))), s(z))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11083, 11864, 9915, 64, 10204])).
% 2.94/3.19 tff(11868,plain,
% 2.94/3.19 (b(s(s(s(s(z)))), s(z))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[1573, 11867])).
% 2.94/3.19 tff(11869,plain,
% 2.94/3.19 (~b(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11260, 102, 66, 11862, 11868, 11866])).
% 2.94/3.19 tff(11870,plain,
% 2.94/3.19 (r(s(s(s(s(z)))), s(s(z)))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[2048, 11869])).
% 2.94/3.19 tff(11871,plain,
% 2.94/3.19 (((~![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(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(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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.19 inference(rewrite,[status(thm)],[])).
% 2.94/3.19 tff(11872,plain,
% 2.94/3.19 (((~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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.19 inference(rewrite,[status(thm)],[])).
% 2.94/3.19 tff(11873,plain,
% 2.94/3.19 (((~![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(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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 2.94/3.19 inference(monotonicity,[status(thm)],[11872])).
% 2.94/3.19 tff(11874,plain,
% 2.94/3.19 (((~![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(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(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(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 2.94/3.19 inference(transitivity,[status(thm)],[11873, 11871])).
% 2.94/3.19 tff(11875,plain,
% 2.94/3.19 ((~![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(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)))))))))),
% 2.94/3.19 inference(quant_inst,[status(thm)],[])).
% 2.94/3.19 tff(11876,plain,
% 2.94/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 2.94/3.19 inference(modus_ponens,[status(thm)],[11875, 11874])).
% 2.94/3.19 tff(11877,plain,
% 2.94/3.19 ($false),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11876, 17, 5, 11696, 11864, 11870, 10204])).
% 2.94/3.19 tff(11878,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(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))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.19 tff(11879,plain,
% 2.94/3.19 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11878, 11860, 66, 64, 90, 11820, 382, 168])).
% 2.94/3.19 tff(11880,plain,
% 2.94/3.19 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[6546, 11879])).
% 2.94/3.19 tff(11881,plain,
% 2.94/3.19 (((~![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(s(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(z))))), 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(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(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.94/3.19 inference(rewrite,[status(thm)],[])).
% 2.94/3.19 tff(11882,plain,
% 2.94/3.19 (((~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(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(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.94/3.19 inference(rewrite,[status(thm)],[])).
% 2.94/3.19 tff(11883,plain,
% 2.94/3.19 (((~![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))))), 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(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(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 2.94/3.19 inference(monotonicity,[status(thm)],[11882])).
% 2.94/3.19 tff(11884,plain,
% 2.94/3.19 (((~![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))))), 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(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(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 2.94/3.19 inference(transitivity,[status(thm)],[11883, 11881])).
% 2.94/3.19 tff(11885,plain,
% 2.94/3.19 ((~![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))))), 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)))))))))),
% 2.94/3.19 inference(quant_inst,[status(thm)],[])).
% 2.94/3.19 tff(11886,plain,
% 2.94/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 2.94/3.19 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 2.94/3.19 tff(11887,plain,
% 2.94/3.19 ($false),
% 2.94/3.19 inference(unit_resolution,[status(thm)],[11886, 17, 1, 90, 64, 4318, 7])).
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% 2.94/3.19 tff(11908,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[409, 11907])).
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[3543, 8367, 11908, 168, 254])).
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% 2.94/3.19 tff(11911,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[11910, 11906, 11544, 11904, 11902, 168, 11898, 11523])).
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[538, 11913])).
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[2114, 11915])).
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[11606, 11916, 11523, 90, 11900])).
% 2.94/3.19 tff(11918,plain,
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% 2.94/3.19 tff(11920,plain,((~b(z, s(s(s(s(z)))))) | (~b(z, 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(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.19 tff(11921,plain,
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% 2.94/3.19 tff(11924,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[2048, 11923])).
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[11856, 11918, 11434, 11692, 11912])).
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% 2.94/3.19 tff(11929,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[11928, 168, 90, 382])).
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[2114, 11931])).
% 2.94/3.19 tff(11933,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[10266, 1537, 90, 63, 10204])).
% 2.94/3.19 tff(11934,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[2072, 11933])).
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% 2.94/3.19 tff(11939,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[11938, 7, 60, 63, 90, 10204])).
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% 2.94/3.19 tff(11943,plain,
% 2.94/3.19 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
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% 2.94/3.19 tff(11946,plain,
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% 2.94/3.19 tff(11950,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[2114, 11949])).
% 2.94/3.19 tff(11951,plain,
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% 2.94/3.19 inference(unit_resolution,[status(thm)],[11606, 11950, 11523, 90, 11900])).
% 2.94/3.20 tff(11952,plain,
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% 2.94/3.20 inference(unit_resolution,[status(thm)],[8907, 11951])).
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% 2.94/3.20 inference(rewrite,[status(thm)],[])).
% 2.94/3.20 tff(11954,plain,
% 2.94/3.20 (((~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(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(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.94/3.20 inference(rewrite,[status(thm)],[])).
% 2.94/3.20 tff(11955,plain,
% 2.94/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 2.94/3.20 inference(monotonicity,[status(thm)],[11954])).
% 2.94/3.20 tff(11956,plain,
% 2.94/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 2.94/3.20 inference(transitivity,[status(thm)],[11955, 11953])).
% 2.94/3.20 tff(11957,plain,
% 2.94/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 2.94/3.20 inference(quant_inst,[status(thm)],[])).
% 2.94/3.20 tff(11958,plain,
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% 2.94/3.20 inference(modus_ponens,[status(thm)],[11957, 11956])).
% 2.94/3.20 tff(11959,plain,
% 2.94/3.20 ($false),
% 2.94/3.20 inference(unit_resolution,[status(thm)],[11958, 102, 7981, 11692, 11434, 11952, 11948])).
% 2.94/3.20 tff(11960,plain,((~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.94/3.20 tff(11961,plain,
% 2.94/3.20 (~b(s(s(z)), s(z))),
% 2.94/3.20 inference(unit_resolution,[status(thm)],[11960, 382, 90])).
% 2.94/3.20 tff(11962,plain,
% 2.94/3.20 (r(s(s(z)), s(z))),
% 2.94/3.20 inference(unit_resolution,[status(thm)],[195, 11961])).
% 2.94/3.20 tff(11963,plain,
% 2.94/3.20 (~r(s(z), s(s(z)))),
% 2.94/3.20 inference(unit_resolution,[status(thm)],[3094, 3, 9915, 11962])).
% 2.94/3.20 tff(11964,plain,
% 2.94/3.20 (b(s(z), s(s(z)))),
% 2.94/3.20 inference(unit_resolution,[status(thm)],[698, 11963])).
% 2.94/3.20 tff(11965,plain,
% 2.94/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(11966,plain,
% 3.03/3.20 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z)))) <=> ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(11967,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[11966])).
% 3.03/3.20 tff(11968,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[11967, 11965])).
% 3.03/3.20 tff(11969,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(11970,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 3.03/3.20 tff(11971,plain,
% 3.03/3.20 (~b(z, s(s(z)))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[11970, 102, 11964, 56, 382])).
% 3.03/3.20 tff(11972,plain,
% 3.03/3.20 (r(z, s(s(z)))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[122, 11971])).
% 3.03/3.20 tff(11973,plain,
% 3.03/3.20 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[1720, 11972, 90, 3])).
% 3.03/3.20 tff(11974,plain,
% 3.03/3.20 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[232, 11973])).
% 3.03/3.20 tff(11975,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(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))))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(11976,plain,
% 3.03/3.20 (((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(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(z, s(z))) | (~b(s(s(z)), z)) | (~b(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))))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(11977,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(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)))))))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[11976])).
% 3.03/3.20 tff(11978,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(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))))))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[11977, 11975])).
% 3.03/3.20 tff(11979,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(11980,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[11979, 11978])).
% 3.03/3.20 tff(11981,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[11980, 102, 7981, 56, 197, 382, 91])).
% 3.03/3.20 tff(11982,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(11983,plain,
% 3.03/3.20 (~b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[11982, 56, 11974, 382])).
% 3.03/3.20 tff(11984,plain,
% 3.03/3.20 (r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[3202, 11983])).
% 3.03/3.20 tff(11985,plain,
% 3.03/3.20 (~b(s(z), z)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[4354, 56, 382, 11964])).
% 3.03/3.20 tff(11986,plain,
% 3.03/3.20 (r(s(z), z)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[380, 11985])).
% 3.03/3.20 tff(11987,plain,
% 3.03/3.20 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[10768, 124, 3, 56])).
% 3.03/3.20 tff(11988,plain,
% 3.03/3.20 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[10784, 9141, 3, 56, 11987, 124])).
% 3.03/3.20 tff(11989,plain,
% 3.03/3.20 (~b(z, s(s(z)))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[11970, 102, 92, 56, 382])).
% 3.03/3.20 tff(11990,plain,
% 3.03/3.20 (r(z, s(s(z)))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[122, 11989])).
% 3.03/3.20 tff(11991,plain,
% 3.03/3.20 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[418, 9916, 382, 92, 56, 11990, 124])).
% 3.03/3.20 tff(11992,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[279, 11991, 11988])).
% 3.03/3.20 tff(11993,plain,(b(s(s(s(s(s(s(z)))))), s(s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(11994,plain,
% 3.03/3.20 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[11993, 124, 92, 56, 382, 3])).
% 3.03/3.20 tff(11995,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(11996,plain,
% 3.03/3.20 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(z)), 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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(11997,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(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))))))))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[11996])).
% 3.03/3.20 tff(11998,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(X0, 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(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)))))))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[11997, 11995])).
% 3.03/3.20 tff(11999,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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)))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(12000,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 3.03/3.20 tff(12001,plain,
% 3.03/3.20 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[12000, 102, 7981, 11994, 56, 124])).
% 3.03/3.20 tff(12002,plain,
% 3.03/3.20 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[341, 12001])).
% 3.03/3.20 tff(12003,plain,
% 3.03/3.20 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[1299, 102, 11994, 56, 124])).
% 3.03/3.20 tff(12004,plain,
% 3.03/3.20 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[279, 12003])).
% 3.03/3.20 tff(12005,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(12006,plain,
% 3.03/3.20 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), 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(z, s(z))) | (~b(s(s(z)), 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))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(12007,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), 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)))))),
% 3.03/3.20 inference(monotonicity,[status(thm)],[12006])).
% 3.03/3.20 tff(12008,plain,
% 3.03/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), 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))))),
% 3.03/3.20 inference(transitivity,[status(thm)],[12007, 12005])).
% 3.03/3.20 tff(12009,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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))))),
% 3.03/3.20 inference(quant_inst,[status(thm)],[])).
% 3.03/3.20 tff(12010,plain,
% 3.03/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.03/3.20 inference(modus_ponens,[status(thm)],[12009, 12008])).
% 3.03/3.20 tff(12011,plain,
% 3.03/3.20 ($false),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[12010, 102, 92, 425, 498, 56, 382])).
% 3.03/3.20 tff(12012,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.20 tff(12013,plain,
% 3.03/3.20 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[12012, 11994, 92, 56, 382])).
% 3.03/3.20 tff(12014,plain,
% 3.03/3.20 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.20 inference(unit_resolution,[status(thm)],[409, 12013])).
% 3.03/3.20 tff(12015,plain,
% 3.03/3.20 (((~![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))))), 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(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(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(12016,plain,
% 3.03/3.20 (((~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(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.03/3.20 inference(rewrite,[status(thm)],[])).
% 3.03/3.20 tff(12017,plain,
% 3.03/3.20 (((~![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(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(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[12016])).
% 3.03/3.21 tff(12018,plain,
% 3.03/3.21 (((~![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(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(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.03/3.21 inference(transitivity,[status(thm)],[12017, 12015])).
% 3.03/3.21 tff(12019,plain,
% 3.03/3.21 ((~![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(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)))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(12020,plain,
% 3.03/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 3.03/3.21 tff(12021,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12020, 17, 67, 3, 12014, 12004, 12002])).
% 3.03/3.21 tff(12022,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(z))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12023,plain,
% 3.03/3.21 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12022, 56, 3, 11964, 9915, 382])).
% 3.03/3.21 tff(12024,plain,
% 3.03/3.21 (r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[538, 12023])).
% 3.03/3.21 tff(12025,plain,
% 3.03/3.21 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[8940, 12024, 3, 11972, 90])).
% 3.03/3.21 tff(12026,plain,
% 3.03/3.21 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[279, 12025])).
% 3.03/3.21 tff(12027,plain,
% 3.03/3.21 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[4183, 9916, 90, 11972, 12024, 12026])).
% 3.03/3.21 tff(12028,plain,
% 3.03/3.21 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[361, 12027])).
% 3.03/3.21 tff(12029,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9161, 12028, 3, 56, 9141])).
% 3.03/3.21 tff(12030,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9386, 12029, 12028, 3, 11986, 11984, 382, 9916])).
% 3.03/3.21 tff(12031,plain,(b(s(s(s(s(s(s(z)))))), s(s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12032,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12031, 56, 382, 3, 90])).
% 3.03/3.21 tff(12033,plain,
% 3.03/3.21 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12012, 12032, 11964, 56, 382])).
% 3.03/3.21 tff(12034,plain,
% 3.03/3.21 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[409, 12033])).
% 3.03/3.21 tff(12035,plain,
% 3.03/3.21 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[4153, 12034, 9915, 11984])).
% 3.03/3.21 tff(12036,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[361, 12035])).
% 3.03/3.21 tff(12037,plain,
% 3.03/3.21 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2774, 12032, 11964, 12026])).
% 3.03/3.21 tff(12038,plain,
% 3.03/3.21 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[165, 12037])).
% 3.03/3.21 tff(12039,plain,
% 3.03/3.21 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1796, 12038, 11986, 12024])).
% 3.03/3.21 tff(12040,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[252, 12039])).
% 3.03/3.21 tff(12041,plain,
% 3.03/3.21 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[8936, 12040, 90, 3, 56, 12032, 11972, 12036])).
% 3.03/3.21 tff(12042,plain,
% 3.03/3.21 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2048, 12041])).
% 3.03/3.21 tff(12043,plain,
% 3.03/3.21 (~b(z, s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[10036, 12042, 12040, 12032, 12036])).
% 3.03/3.21 tff(12044,plain,
% 3.03/3.21 (r(z, s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[54, 12043])).
% 3.03/3.21 tff(12045,plain,
% 3.03/3.21 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[10540, 12044, 3, 90, 11972])).
% 3.03/3.21 tff(12046,plain,
% 3.03/3.21 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[8907, 12045])).
% 3.03/3.21 tff(12047,plain,
% 3.03/3.21 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[7127, 12046, 11974, 12042])).
% 3.03/3.21 tff(12048,plain,
% 3.03/3.21 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2114, 12047])).
% 3.03/3.21 tff(12049,plain,
% 3.03/3.21 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[10966, 12048, 11972, 12044, 3, 90, 12032])).
% 3.03/3.21 tff(12050,plain,
% 3.03/3.21 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[11054, 12048, 3, 90, 11972, 12032, 12044])).
% 3.03/3.21 tff(12051,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[341, 12050, 12049])).
% 3.03/3.21 tff(12052,plain,((~b(s(s(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12053,plain,
% 3.03/3.21 (~b(s(s(z)), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12052, 3, 90, 382])).
% 3.03/3.21 tff(12054,plain,
% 3.03/3.21 (r(s(s(z)), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1392, 12053])).
% 3.03/3.21 tff(12055,plain,
% 3.03/3.21 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2400, 17, 11962, 9915, 90])).
% 3.03/3.21 tff(12056,plain,
% 3.03/3.21 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12055, 12054])).
% 3.03/3.21 tff(12057,plain,
% 3.03/3.21 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[232, 12056])).
% 3.03/3.21 tff(12058,plain,
% 3.03/3.21 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3113, 17, 11962, 5, 9915, 3])).
% 3.03/3.21 tff(12059,plain,
% 3.03/3.21 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[341, 12058])).
% 3.03/3.21 tff(12060,plain,
% 3.03/3.21 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9102, 124, 60])).
% 3.03/3.21 tff(12061,plain,
% 3.03/3.21 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[252, 12060])).
% 3.03/3.21 tff(12062,plain,
% 3.03/3.21 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9134, 124, 60])).
% 3.03/3.21 tff(12063,plain,
% 3.03/3.21 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[361, 12062])).
% 3.03/3.21 tff(12064,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[7993, 12063, 12061, 90, 3, 5])).
% 3.03/3.21 tff(12065,plain,((~b(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(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12066,plain,
% 3.03/3.21 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12065, 5, 3, 90, 12059])).
% 3.03/3.21 tff(12067,plain,
% 3.03/3.21 (r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[538, 12066])).
% 3.03/3.21 tff(12068,plain,
% 3.03/3.21 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[8529, 5, 3, 12054])).
% 3.03/3.21 tff(12069,plain,
% 3.03/3.21 (b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3202, 12068])).
% 3.03/3.21 tff(12070,plain,
% 3.03/3.21 (~b(s(z), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[10986, 12069, 382])).
% 3.03/3.21 tff(12071,plain,
% 3.03/3.21 (r(s(z), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[380, 12070])).
% 3.03/3.21 tff(12072,plain,
% 3.03/3.21 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[7993, 63, 90, 3, 5])).
% 3.03/3.21 tff(12073,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[361, 12072])).
% 3.03/3.21 tff(12074,plain,
% 3.03/3.21 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12065, 5, 3, 90, 60])).
% 3.03/3.21 tff(12075,plain,
% 3.03/3.21 (r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[538, 12074])).
% 3.03/3.21 tff(12076,plain,
% 3.03/3.21 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1796, 63, 59, 12075])).
% 3.03/3.21 tff(12077,plain,
% 3.03/3.21 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[165, 12076])).
% 3.03/3.21 tff(12078,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[1190, 12077, 12073, 60, 91])).
% 3.03/3.21 tff(12079,plain,((~r(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))))))) | (~r(s(z), z)) | (~r(z, 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))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12080,plain,
% 3.03/3.21 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12079, 12059, 12069, 12071, 90, 3, 5])).
% 3.03/3.21 tff(12081,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[252, 12080])).
% 3.03/3.21 tff(12082,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), 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(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(12083,plain,
% 3.03/3.21 (((~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(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(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(12084,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[12083])).
% 3.03/3.21 tff(12085,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.03/3.21 inference(transitivity,[status(thm)],[12084, 12082])).
% 3.03/3.21 tff(12086,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z, s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(12087,plain,
% 3.03/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[12086, 12085])).
% 3.03/3.21 tff(12088,plain,
% 3.03/3.21 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12087, 102, 7981, 12081, 382, 12069])).
% 3.03/3.21 tff(12089,plain,
% 3.03/3.21 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[409, 12088])).
% 3.03/3.21 tff(12090,plain,
% 3.03/3.21 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9769, 12089, 11962, 12054, 12067])).
% 3.03/3.21 tff(12091,plain,
% 3.03/3.21 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[279, 12090])).
% 3.03/3.21 tff(12092,plain,
% 3.03/3.21 (~b(z, s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9099, 12091, 12059, 12081])).
% 3.03/3.21 tff(12093,plain,
% 3.03/3.21 (r(z, s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[122, 12092])).
% 3.03/3.21 tff(12094,plain,
% 3.03/3.21 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[4183, 12093, 90, 5, 12067, 12091])).
% 3.03/3.21 tff(12095,plain,
% 3.03/3.21 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[361, 12094])).
% 3.03/3.21 tff(12096,plain,
% 3.03/3.21 (((~![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(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(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(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(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(12097,plain,
% 3.03/3.21 (((~r(s(s(z)), s(z))) | (~r(s(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(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(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))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.03/3.21 inference(rewrite,[status(thm)],[])).
% 3.03/3.21 tff(12098,plain,
% 3.03/3.21 (((~![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(z)), s(z))) | (~r(s(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(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(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(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.03/3.21 inference(monotonicity,[status(thm)],[12097])).
% 3.03/3.21 tff(12099,plain,
% 3.03/3.21 (((~![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(z)), s(z))) | (~r(s(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(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(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(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.03/3.21 inference(transitivity,[status(thm)],[12098, 12096])).
% 3.03/3.21 tff(12100,plain,
% 3.03/3.21 ((~![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(z)), s(z))) | (~r(s(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(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))))),
% 3.03/3.21 inference(quant_inst,[status(thm)],[])).
% 3.03/3.21 tff(12101,plain,
% 3.03/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.03/3.21 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 3.03/3.21 tff(12102,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12101, 17, 11962, 5, 3, 12089, 12095])).
% 3.03/3.21 tff(12103,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12104,plain,
% 3.03/3.21 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12103, 3, 90, 382])).
% 3.03/3.21 tff(12105,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[496, 12104])).
% 3.03/3.21 tff(12106,plain,
% 3.03/3.21 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2774, 254, 92, 498])).
% 3.03/3.21 tff(12107,plain,
% 3.03/3.21 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[165, 12106])).
% 3.03/3.21 tff(12108,plain,
% 3.03/3.21 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9287, 254, 92, 498])).
% 3.03/3.21 tff(12109,plain,
% 3.03/3.21 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[409, 12108])).
% 3.03/3.21 tff(12110,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[2433, 17, 67, 12109, 305, 12107])).
% 3.03/3.21 tff(12111,plain,((~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12112,plain,
% 3.03/3.21 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12111, 305, 9915, 11964, 12105])).
% 3.03/3.21 tff(12113,plain,
% 3.03/3.21 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[279, 12112])).
% 3.03/3.21 tff(12114,plain,
% 3.03/3.21 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[4153, 393, 9915, 64])).
% 3.03/3.21 tff(12115,plain,
% 3.03/3.21 (b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[3202, 12114])).
% 3.03/3.21 tff(12116,plain,
% 3.03/3.21 (~r(s(z), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[8005, 393, 64, 90, 63])).
% 3.03/3.21 tff(12117,plain,
% 3.03/3.21 (b(s(z), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[380, 12116])).
% 3.03/3.21 tff(12118,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[10986, 12117, 12115, 382])).
% 3.03/3.21 tff(12119,plain,((~r(s(s(s(s(s(s(z)))))), s(z))) | (~b(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(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12120,plain,
% 3.03/3.21 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12119, 63, 64, 90, 382])).
% 3.03/3.21 tff(12121,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[409, 12120])).
% 3.03/3.21 tff(12122,plain,
% 3.03/3.21 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[433, 12121, 382, 124])).
% 3.03/3.21 tff(12123,plain,
% 3.03/3.21 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[165, 12122])).
% 3.03/3.21 tff(12124,plain,
% 3.03/3.21 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9287, 12121, 92, 498])).
% 3.03/3.21 tff(12125,plain,
% 3.03/3.21 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[279, 12124])).
% 3.03/3.21 tff(12126,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[9297, 17, 234, 63, 65, 62, 167])).
% 3.03/3.21 tff(12127,plain,((~r(s(z), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12128,plain,
% 3.03/3.21 ($false),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12127, 12125, 12123, 63, 65, 11962])).
% 3.03/3.21 tff(12129,plain,((~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(z))) | (~b(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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.21 tff(12130,plain,
% 3.03/3.21 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12129, 7985, 92, 498, 382, 65, 64, 90])).
% 3.03/3.21 tff(12131,plain,
% 3.03/3.21 (b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[252, 12130])).
% 3.03/3.21 tff(12132,plain,
% 3.03/3.21 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[455, 12131, 382, 7985])).
% 3.03/3.21 tff(12133,plain,
% 3.03/3.21 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[165, 12132])).
% 3.03/3.21 tff(12134,plain,
% 3.03/3.21 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[12055, 65])).
% 3.03/3.21 tff(12135,plain,
% 3.03/3.21 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.21 inference(unit_resolution,[status(thm)],[232, 12134])).
% 3.03/3.21 tff(12136,plain,
% 3.03/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12137,plain,
% 3.03/3.22 (((~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(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(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(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12138,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z)))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[12137])).
% 3.03/3.22 tff(12139,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z))))))) | (~b(s(s(s(s(s(s(z)))))), 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(z))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[12138, 12136])).
% 3.03/3.22 tff(12140,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(12141,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z)))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[12140, 12139])).
% 3.03/3.22 tff(12142,plain,
% 3.03/3.22 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12141, 102, 92, 7981, 498, 12131, 12135])).
% 3.03/3.22 tff(12143,plain,
% 3.03/3.22 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[409, 12142])).
% 3.03/3.22 tff(12144,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[2433, 17, 9915, 12143, 305, 12133])).
% 3.03/3.22 tff(12145,plain,((~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(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(z))) | (~r(s(s(z)), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(12146,plain,
% 3.03/3.22 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12145, 305, 11964, 12105, 382, 12054, 90])).
% 3.03/3.22 tff(12147,plain,
% 3.03/3.22 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[361, 12146])).
% 3.03/3.22 tff(12148,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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))))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12149,plain,
% 3.03/3.22 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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))))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12150,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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)))))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[12149])).
% 3.03/3.22 tff(12151,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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))))))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[12150, 12148])).
% 3.03/3.22 tff(12152,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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))))))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(12153,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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)))))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 3.03/3.22 tff(12154,plain,
% 3.03/3.22 ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12153, 102, 11964, 7981, 12105, 382])).
% 3.03/3.22 tff(12155,plain,
% 3.03/3.22 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12154, 12147])).
% 3.03/3.22 tff(12156,plain,
% 3.03/3.22 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[252, 12155])).
% 3.03/3.22 tff(12157,plain,
% 3.03/3.22 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12127, 12113, 12156, 12054, 11962])).
% 3.03/3.22 tff(12158,plain,
% 3.03/3.22 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[165, 12157])).
% 3.03/3.22 tff(12159,plain,
% 3.03/3.22 (~b(z, s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[11346, 12147, 12057, 12105])).
% 3.03/3.22 tff(12160,plain,
% 3.03/3.22 (r(z, s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[122, 12159])).
% 3.03/3.22 tff(12161,plain,
% 3.03/3.22 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[8940, 12113, 3, 12160, 90])).
% 3.03/3.22 tff(12162,plain,
% 3.03/3.22 (b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[538, 12161])).
% 3.03/3.22 tff(12163,plain,
% 3.03/3.22 ((~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), z)) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[8375, 7981])).
% 3.03/3.22 tff(12164,plain,
% 3.03/3.22 (~b(s(z), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12163, 12162, 12147, 12158])).
% 3.03/3.22 tff(12165,plain,
% 3.03/3.22 (r(s(z), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[380, 12164])).
% 3.03/3.22 tff(12166,plain,
% 3.03/3.22 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[433, 12158, 382, 12162])).
% 3.03/3.22 tff(12167,plain,
% 3.03/3.22 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[409, 12166])).
% 3.03/3.22 tff(12168,plain,
% 3.03/3.22 (((~![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(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(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(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12169,plain,
% 3.03/3.22 (((~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)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12170,plain,
% 3.03/3.22 (((~![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), 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)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[12169])).
% 3.03/3.22 tff(12171,plain,
% 3.03/3.22 (((~![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), 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)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[12170, 12168])).
% 3.03/3.22 tff(12172,plain,
% 3.03/3.22 ((~![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), 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)))))))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(12173,plain,
% 3.03/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(z))) | (~r(s(z), z)) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(z))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 3.03/3.22 tff(12174,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12173, 17, 11962, 12167, 12165, 12054, 12113])).
% 3.03/3.22 tff(12175,plain,((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(12176,plain,
% 3.03/3.22 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12175, 3, 382, 90])).
% 3.03/3.22 tff(12177,plain,
% 3.03/3.22 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[341, 12176])).
% 3.03/3.22 tff(12178,plain,
% 3.03/3.22 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3806, 102, 12105, 12177, 12057])).
% 3.03/3.22 tff(12179,plain,
% 3.03/3.22 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[279, 12178])).
% 3.03/3.22 tff(12180,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z), s(s(s(s(s(z))))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12181,plain,
% 3.03/3.22 (((~b(s(s(s(s(s(s(z)))))), 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(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(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(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12182,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(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(X0, 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(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(z), s(s(s(s(s(z)))))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[12181])).
% 3.03/3.22 tff(12183,plain,
% 3.03/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(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(X0, 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(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(z), s(s(s(s(s(z))))))))),
% 3.03/3.22 inference(transitivity,[status(thm)],[12182, 12180])).
% 3.03/3.22 tff(12184,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(z), s(s(s(s(s(z))))))) | (~b(s(z), s(s(z)))))),
% 3.03/3.22 inference(quant_inst,[status(thm)],[])).
% 3.03/3.22 tff(12185,plain,
% 3.03/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 3.03/3.22 tff(12186,plain,
% 3.03/3.22 (~b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12185, 102, 11964, 12105, 12177, 12057])).
% 3.03/3.22 tff(12187,plain,
% 3.03/3.22 (r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3202, 12186])).
% 3.03/3.22 tff(12188,plain,
% 3.03/3.22 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[3663, 102, 12105, 12177, 12057])).
% 3.03/3.22 tff(12189,plain,
% 3.03/3.22 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[361, 12188])).
% 3.03/3.22 tff(12190,plain,
% 3.03/3.22 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[4153, 12189, 9915, 12187])).
% 3.03/3.22 tff(12191,plain,
% 3.03/3.22 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[409, 12190])).
% 3.03/3.22 tff(12192,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12141, 102, 92, 7981, 425, 498, 4, 197])).
% 3.03/3.22 tff(12193,plain,((~b(s(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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(12194,plain,
% 3.03/3.22 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12193, 11964, 12191, 12105, 12057])).
% 3.03/3.22 tff(12195,plain,
% 3.03/3.22 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[252, 12194])).
% 3.03/3.22 tff(12196,plain,
% 3.03/3.22 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[2713, 12195, 12054, 12179])).
% 3.03/3.22 tff(12197,plain,
% 3.03/3.22 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12129, 12195, 11964, 12105, 382, 12054, 12189, 90])).
% 3.03/3.22 tff(12198,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[538, 12197, 12196])).
% 3.03/3.22 tff(12199,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(12200,plain,
% 3.03/3.22 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12199, 382, 90])).
% 3.03/3.22 tff(12201,plain,
% 3.03/3.22 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1711, 12200])).
% 3.03/3.22 tff(12202,plain,
% 3.03/3.22 (~b(s(s(z)), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[8743, 66, 57])).
% 3.03/3.22 tff(12203,plain,
% 3.03/3.22 (r(s(s(z)), z)),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1392, 12202])).
% 3.03/3.22 tff(12204,plain,
% 3.03/3.22 ((~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[2400, 17, 234, 9915, 90])).
% 3.03/3.22 tff(12205,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12204, 11722, 12203])).
% 3.03/3.22 tff(12206,plain,((~b(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(12207,plain,
% 3.03/3.22 (~b(z, s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12206, 11962, 90, 12201])).
% 3.03/3.22 tff(12208,plain,
% 3.03/3.22 (r(z, s(s(z)))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[122, 12207])).
% 3.03/3.22 tff(12209,plain,
% 3.03/3.22 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[1140, 2, 90, 5, 1])).
% 3.03/3.22 tff(12210,plain,
% 3.03/3.22 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[9353, 2, 5, 364, 4])).
% 3.03/3.22 tff(12211,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[341, 12210, 12209])).
% 3.03/3.22 tff(12212,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(12213,plain,
% 3.03/3.22 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12212, 364, 2, 4, 90, 5])).
% 3.03/3.22 tff(12214,plain,
% 3.03/3.22 (b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[538, 12213])).
% 3.03/3.22 tff(12215,plain,
% 3.03/3.22 ($false),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[8526, 102, 7981, 4, 364, 12214])).
% 3.03/3.22 tff(12216,plain,((~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(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.22 tff(12217,plain,
% 3.03/3.22 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12216, 5, 12208, 90, 4])).
% 3.03/3.22 tff(12218,plain,
% 3.03/3.22 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[361, 12217])).
% 3.03/3.22 tff(12219,plain,
% 3.03/3.22 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[11471, 56, 4, 57])).
% 3.03/3.22 tff(12220,plain,
% 3.03/3.22 (r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[538, 12219])).
% 3.03/3.22 tff(12221,plain,
% 3.03/3.22 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[566, 12220, 90, 2, 5])).
% 3.03/3.22 tff(12222,plain,
% 3.03/3.22 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[232, 12221])).
% 3.03/3.22 tff(12223,plain,
% 3.03/3.22 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[25, 7, 5, 2, 1])).
% 3.03/3.22 tff(12224,plain,
% 3.03/3.22 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[2072, 12223])).
% 3.03/3.22 tff(12225,plain,
% 3.03/3.22 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[12212, 1, 2, 4, 90, 5])).
% 3.03/3.22 tff(12226,plain,
% 3.03/3.22 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[361, 12225])).
% 3.03/3.22 tff(12227,plain,
% 3.03/3.22 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[11888, 7, 90, 12226, 1])).
% 3.03/3.22 tff(12228,plain,
% 3.03/3.22 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.22 inference(unit_resolution,[status(thm)],[2114, 12227])).
% 3.03/3.22 tff(12229,plain,
% 3.03/3.22 (((~![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(s(z)))))))) | (~r(s(s(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)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12230,plain,
% 3.03/3.22 (((~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(s(s(s(s(z)))))))) | (~r(s(s(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)))))))),
% 3.03/3.22 inference(rewrite,[status(thm)],[])).
% 3.03/3.22 tff(12231,plain,
% 3.03/3.22 (((~![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(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(s(s(s(s(z)))))))) | (~r(s(s(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))))))))),
% 3.03/3.22 inference(monotonicity,[status(thm)],[12230])).
% 3.03/3.22 tff(12232,plain,
% 3.03/3.22 (((~![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(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(s(s(s(s(z)))))))) | (~r(s(s(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)))))))),
% 3.03/3.23 inference(transitivity,[status(thm)],[12231, 12229])).
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% 3.03/3.23 ((~![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(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)))))))))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(12234,plain,
% 3.03/3.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[12233, 12232])).
% 3.03/3.23 tff(12235,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12234, 17, 5, 2, 1, 7519, 7])).
% 3.03/3.23 tff(12236,plain,((~r(s(s(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(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12237,plain,
% 3.03/3.23 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12236, 7, 2, 5, 1])).
% 3.03/3.23 tff(12238,plain,
% 3.03/3.23 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[8907, 12237])).
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% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(12240,plain,
% 3.03/3.23 (((~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(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)))))), 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(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)))))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(12241,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[12240])).
% 3.03/3.23 tff(12242,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.23 inference(transitivity,[status(thm)],[12241, 12239])).
% 3.03/3.23 tff(12243,plain,
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% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
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% 3.03/3.23 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 3.03/3.23 tff(12245,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12244, 102, 7981, 4, 57, 12238, 12228, 12224])).
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% 3.03/3.23 tff(12247,plain,
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% 3.03/3.23 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 3.03/3.23 tff(12252,plain,
% 3.03/3.23 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
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% 3.03/3.23 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 3.03/3.23 tff(12254,plain,
% 3.03/3.23 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
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% 3.03/3.23 tff(12255,plain,
% 3.03/3.23 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
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% 3.03/3.23 tff(12256,plain,
% 3.03/3.23 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[2072, 12255])).
% 3.03/3.23 tff(12257,plain,
% 3.03/3.23 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[10690, 12256, 12252, 12220, 12250])).
% 3.03/3.23 tff(12258,plain,
% 3.03/3.23 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[6546, 12257])).
% 3.03/3.23 tff(12259,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[8934, 102, 7981, 56, 12222, 12248, 12258])).
% 3.03/3.23 tff(12260,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12261,plain,
% 3.03/3.23 (~b(s(s(z)), z)),
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% 3.03/3.23 (~r(s(s(z)), s(s(s(s(s(z))))))),
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% 3.03/3.23 tff(12264,plain,
% 3.03/3.23 (b(s(s(z)), s(s(s(s(s(z))))))),
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% 3.03/3.23 tff(12265,plain,
% 3.03/3.23 (~r(s(z), s(s(z)))),
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% 3.03/3.23 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3487, 9924, 64, 11527])).
% 3.03/3.23 tff(12267,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3202, 12266])).
% 3.03/3.23 tff(12268,plain,
% 3.03/3.23 (~b(s(z), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[205, 12267, 57, 197])).
% 3.03/3.23 tff(12269,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[698, 12268, 12265])).
% 3.03/3.23 tff(12270,plain,((~b(z, s(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))))))) | (~r(z, 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(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12271,plain,
% 3.03/3.23 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12270, 12264, 12201, 12208, 12262, 12218, 9915, 4, 382])).
% 3.03/3.23 tff(12272,plain,
% 3.03/3.23 (r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[538, 12271])).
% 3.03/3.23 tff(12273,plain,
% 3.03/3.23 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[9556, 12272, 90, 12201, 12208])).
% 3.03/3.23 tff(12274,plain,
% 3.03/3.23 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[341, 12273])).
% 3.03/3.23 tff(12275,plain,
% 3.03/3.23 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[856, 780, 234, 5])).
% 3.03/3.23 tff(12276,plain,
% 3.03/3.23 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[11702, 780, 65, 4, 382, 1])).
% 3.03/3.23 tff(12277,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[409, 12276, 12275])).
% 3.03/3.23 tff(12278,plain,((~r(s(z), s(s(z)))) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12279,plain,
% 3.03/3.23 (~r(s(z), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12278, 12262, 4, 382, 12272, 11962, 5])).
% 3.03/3.23 tff(12280,plain,
% 3.03/3.23 (b(s(z), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[698, 12279])).
% 3.03/3.23 tff(12281,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), 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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(12282,plain,
% 3.03/3.23 (((~b(s(z), s(s(z)))) | (~b(s(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(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))) <=> ((~b(z, s(z))) | (~b(s(z), 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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(12283,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), 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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[12282])).
% 3.03/3.23 tff(12284,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), 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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.23 inference(transitivity,[status(thm)],[12283, 12281])).
% 3.03/3.23 tff(12285,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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)))))))))),
% 3.03/3.23 inference(quant_inst,[status(thm)],[])).
% 3.03/3.23 tff(12286,plain,
% 3.03/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))),
% 3.03/3.23 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 3.03/3.23 tff(12287,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12286, 102, 12280, 7981, 4, 12201, 12274, 382])).
% 3.03/3.23 tff(12288,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12289,plain,
% 3.03/3.23 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12288, 4, 382, 90])).
% 3.03/3.23 tff(12290,plain,
% 3.03/3.23 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[496, 12289])).
% 3.03/3.23 tff(12291,plain,
% 3.03/3.23 (~b(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[11471, 124, 4, 12201])).
% 3.03/3.23 tff(12292,plain,
% 3.03/3.23 (r(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1392, 12291])).
% 3.03/3.23 tff(12293,plain,
% 3.03/3.23 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12055, 12292])).
% 3.03/3.23 tff(12294,plain,
% 3.03/3.23 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[232, 12293])).
% 3.03/3.23 tff(12295,plain,
% 3.03/3.23 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1346, 12294, 12201, 12290])).
% 3.03/3.23 tff(12296,plain,
% 3.03/3.23 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12270, 12294, 12201, 12208, 124, 12292, 9915, 4, 382])).
% 3.03/3.23 tff(12297,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[361, 12296, 12295])).
% 3.03/3.23 tff(12298,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12299,plain,
% 3.03/3.23 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12298, 4, 382, 90])).
% 3.03/3.23 tff(12300,plain,
% 3.03/3.23 (r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[538, 12299])).
% 3.03/3.23 tff(12301,plain,
% 3.03/3.23 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[642, 12300, 90, 12201, 12290])).
% 3.03/3.23 tff(12302,plain,
% 3.03/3.23 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[232, 12301])).
% 3.03/3.23 tff(12303,plain,
% 3.03/3.23 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3785, 12302, 9915, 11962])).
% 3.03/3.23 tff(12304,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3202, 12303])).
% 3.03/3.23 tff(12305,plain,
% 3.03/3.23 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[9556, 12300, 90, 12201, 12208])).
% 3.03/3.23 tff(12306,plain,
% 3.03/3.23 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[341, 12305])).
% 3.03/3.23 tff(12307,plain,
% 3.03/3.23 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[2442, 12306, 12201, 12290])).
% 3.03/3.23 tff(12308,plain,
% 3.03/3.23 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[279, 12307])).
% 3.03/3.23 tff(12309,plain,
% 3.03/3.23 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[594, 12308, 90, 12208, 12300])).
% 3.03/3.23 tff(12310,plain,
% 3.03/3.23 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[361, 12309])).
% 3.03/3.23 tff(12311,plain,
% 3.03/3.23 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[288, 12308, 9915, 11962, 12302])).
% 3.03/3.23 tff(12312,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[165, 12311])).
% 3.03/3.23 tff(12313,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1190, 12312, 12310, 12306, 12304])).
% 3.03/3.23 tff(12314,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12315,plain,
% 3.03/3.23 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12314, 382, 90])).
% 3.03/3.23 tff(12316,plain,
% 3.03/3.23 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[252, 12315])).
% 3.03/3.23 tff(12317,plain,
% 3.03/3.23 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[9556, 1, 90, 12201, 12208])).
% 3.03/3.23 tff(12318,plain,
% 3.03/3.23 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[341, 12317])).
% 3.03/3.23 tff(12319,plain,
% 3.03/3.23 (r(s(z), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[380, 11540])).
% 3.03/3.23 tff(12320,plain,
% 3.03/3.23 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1190, 91, 364, 60])).
% 3.03/3.23 tff(12321,plain,
% 3.03/3.23 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[165, 12320])).
% 3.03/3.23 tff(12322,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1796, 12321, 12319, 63, 1])).
% 3.03/3.23 tff(12323,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12324,plain,
% 3.03/3.23 (~b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12323, 1, 12316, 364, 12318, 382])).
% 3.03/3.23 tff(12325,plain,
% 3.03/3.23 (r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3202, 12324])).
% 3.03/3.23 tff(12326,plain,
% 3.03/3.23 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3785, 12325, 9915, 11962])).
% 3.03/3.23 tff(12327,plain,
% 3.03/3.23 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[232, 12326])).
% 3.03/3.23 tff(12328,plain,
% 3.03/3.23 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[642, 12327, 90, 12201, 1])).
% 3.03/3.23 tff(12329,plain,
% 3.03/3.23 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[496, 12328])).
% 3.03/3.23 tff(12330,plain,
% 3.03/3.23 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1040, 12329, 12208, 1])).
% 3.03/3.23 tff(12331,plain,
% 3.03/3.23 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4183, 12329, 90, 12208, 364, 1])).
% 3.03/3.23 tff(12332,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[279, 12331, 12330])).
% 3.03/3.23 tff(12333,plain,((~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(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12334,plain,
% 3.03/3.23 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12333, 364, 90, 382])).
% 3.03/3.23 tff(12335,plain,
% 3.03/3.23 (b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[538, 12334])).
% 3.03/3.23 tff(12336,plain,
% 3.03/3.23 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3785, 235, 9915, 11962])).
% 3.03/3.23 tff(12337,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3202, 12336])).
% 3.03/3.23 tff(12338,plain,
% 3.03/3.23 (~r(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12055, 235])).
% 3.03/3.23 tff(12339,plain,
% 3.03/3.23 (b(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1392, 12338])).
% 3.03/3.23 tff(12340,plain,
% 3.03/3.23 (~b(s(z), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[10986, 12337, 382])).
% 3.03/3.23 tff(12341,plain,
% 3.03/3.23 (r(s(z), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[380, 12340])).
% 3.03/3.23 tff(12342,plain,
% 3.03/3.23 (~r(s(z), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[11485, 12341, 12201, 12316, 12335, 382, 12339])).
% 3.03/3.23 tff(12343,plain,
% 3.03/3.23 (b(s(z), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[698, 12342])).
% 3.03/3.23 tff(12344,plain,
% 3.03/3.23 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[8609, 12339, 364, 12335])).
% 3.03/3.23 tff(12345,plain,
% 3.03/3.23 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[279, 12344])).
% 3.03/3.23 tff(12346,plain,
% 3.03/3.23 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[288, 12345, 9915, 11962, 235])).
% 3.03/3.23 tff(12347,plain,
% 3.03/3.23 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[165, 12346])).
% 3.03/3.23 tff(12348,plain,
% 3.03/3.23 ($false),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[133, 12347, 12343, 12201, 12339, 12337, 12335])).
% 3.03/3.23 tff(12349,plain,((~r(s(s(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))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.23 tff(12350,plain,
% 3.03/3.23 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[12349, 364, 382, 90])).
% 3.03/3.23 tff(12351,plain,
% 3.03/3.23 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[232, 12350])).
% 3.03/3.23 tff(12352,plain,
% 3.03/3.23 (~r(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[8699, 12351, 12201, 12316, 364])).
% 3.03/3.23 tff(12353,plain,
% 3.03/3.23 (b(s(s(z)), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1392, 12352])).
% 3.03/3.23 tff(12354,plain,
% 3.03/3.23 (~b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[11982, 12353, 12351, 382])).
% 3.03/3.23 tff(12355,plain,
% 3.03/3.23 (r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[3202, 12354])).
% 3.03/3.23 tff(12356,plain,
% 3.03/3.23 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[1346, 12351, 12201, 364])).
% 3.03/3.23 tff(12357,plain,
% 3.03/3.23 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[496, 12356])).
% 3.03/3.23 tff(12358,plain,
% 3.03/3.23 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[8609, 12353, 364, 12335])).
% 3.03/3.23 tff(12359,plain,
% 3.03/3.23 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[279, 12358])).
% 3.03/3.23 tff(12360,plain,
% 3.03/3.23 (~b(s(z), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[4362, 12359, 90, 12316, 12357, 12355, 12208, 11962])).
% 3.03/3.23 tff(12361,plain,
% 3.03/3.23 (r(s(z), z)),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[380, 12360])).
% 3.03/3.23 tff(12362,plain,
% 3.03/3.23 (~r(s(z), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[11485, 12361, 12201, 12316, 12335, 382, 12353])).
% 3.03/3.23 tff(12363,plain,
% 3.03/3.23 (b(s(z), s(s(z)))),
% 3.03/3.23 inference(unit_resolution,[status(thm)],[698, 12362])).
% 3.03/3.23 tff(12364,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(12365,plain,
% 3.03/3.23 (((~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, 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(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.03/3.23 inference(rewrite,[status(thm)],[])).
% 3.03/3.23 tff(12366,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.03/3.23 inference(monotonicity,[status(thm)],[12365])).
% 3.03/3.23 tff(12367,plain,
% 3.03/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[12366, 12364])).
% 3.03/3.24 tff(12368,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))) | (~b(z, 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)))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(12369,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[12368, 12367])).
% 3.03/3.24 tff(12370,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12369, 102, 12363, 7981, 12353, 12201, 382])).
% 3.03/3.24 tff(12371,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12372,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12371, 382, 90])).
% 3.03/3.24 tff(12373,plain,
% 3.03/3.24 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[361, 12372])).
% 3.03/3.24 tff(12374,plain,
% 3.03/3.24 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12119, 12373, 12316, 90, 382])).
% 3.03/3.24 tff(12375,plain,
% 3.03/3.24 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[409, 12374])).
% 3.03/3.24 tff(12376,plain,
% 3.03/3.24 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[433, 124, 382, 12375])).
% 3.03/3.24 tff(12377,plain,
% 3.03/3.24 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[165, 12376])).
% 3.03/3.24 tff(12378,plain,
% 3.03/3.24 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[433, 124, 382, 425])).
% 3.03/3.24 tff(12379,plain,
% 3.03/3.24 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[165, 12378])).
% 3.03/3.24 tff(12380,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[288, 235, 67, 234, 12379])).
% 3.03/3.24 tff(12381,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[279, 12380])).
% 3.03/3.24 tff(12382,plain,
% 3.03/3.24 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3785, 235, 67, 234])).
% 3.03/3.24 tff(12383,plain,
% 3.03/3.24 (b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3202, 12382])).
% 3.03/3.24 tff(12384,plain,
% 3.03/3.24 (~b(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10986, 12383, 382])).
% 3.03/3.24 tff(12385,plain,
% 3.03/3.24 (r(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[380, 12384])).
% 3.03/3.24 tff(12386,plain,
% 3.03/3.24 (~r(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11485, 12385, 57, 63, 124, 382, 56])).
% 3.03/3.24 tff(12387,plain,
% 3.03/3.24 (b(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[698, 12386])).
% 3.03/3.24 tff(12388,plain,
% 3.03/3.24 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[418, 12387, 382, 124, 56, 2, 12381])).
% 3.03/3.24 tff(12389,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[9287, 12387, 12381, 425])).
% 3.03/3.24 tff(12390,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12389, 12388])).
% 3.03/3.24 tff(12391,plain,((~r(s(s(z)), 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(z)), z)) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12392,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12391, 56, 382, 124, 12375, 12208, 12201, 12316, 9915, 11962])).
% 3.03/3.24 tff(12393,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[232, 12392])).
% 3.03/3.24 tff(12394,plain,
% 3.03/3.24 (~b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11982, 12393, 56, 382])).
% 3.03/3.24 tff(12395,plain,
% 3.03/3.24 (r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3202, 12394])).
% 3.03/3.24 tff(12396,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11435, 12393, 12201, 90, 56])).
% 3.03/3.24 tff(12397,plain,
% 3.03/3.24 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12396])).
% 3.03/3.24 tff(12398,plain,
% 3.03/3.24 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3487, 12395, 12373, 12377])).
% 3.03/3.24 tff(12399,plain,
% 3.03/3.24 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[341, 12398])).
% 3.03/3.24 tff(12400,plain,
% 3.03/3.24 (~b(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11574, 12399, 12201, 12375, 124])).
% 3.03/3.24 tff(12401,plain,
% 3.03/3.24 (r(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[698, 12400])).
% 3.03/3.24 tff(12402,plain,
% 3.03/3.24 (~r(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11485, 12401, 12201, 12316, 124, 382, 56])).
% 3.03/3.24 tff(12403,plain,
% 3.03/3.24 (b(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[380, 12402])).
% 3.03/3.24 tff(12404,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4362, 12403, 90, 12316, 12397, 12395, 12208, 11962])).
% 3.03/3.24 tff(12405,plain,
% 3.03/3.24 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4122, 12403, 12375, 56, 124])).
% 3.03/3.24 tff(12406,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[279, 12405, 12404])).
% 3.03/3.24 tff(12407,plain,((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12408,plain,
% 3.03/3.24 (~b(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12407, 124, 90, 382])).
% 3.03/3.24 tff(12409,plain,
% 3.03/3.24 (r(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1392, 12408])).
% 3.03/3.24 tff(12410,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12127, 12409, 12316, 12377, 11962])).
% 3.03/3.24 tff(12411,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[279, 12410])).
% 3.03/3.24 tff(12412,plain,
% 3.03/3.24 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2482, 12409, 12208, 12316])).
% 3.03/3.24 tff(12413,plain,
% 3.03/3.24 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12412])).
% 3.03/3.24 tff(12414,plain,
% 3.03/3.24 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2442, 12413, 12201, 12411])).
% 3.03/3.24 tff(12415,plain,
% 3.03/3.24 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[341, 12414])).
% 3.03/3.24 tff(12416,plain,
% 3.03/3.24 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3487, 12415, 12373, 12377])).
% 3.03/3.24 tff(12417,plain,
% 3.03/3.24 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2482, 63, 65, 2])).
% 3.03/3.24 tff(12418,plain,
% 3.03/3.24 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12417])).
% 3.03/3.24 tff(12419,plain,
% 3.03/3.24 (~r(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1419, 59, 65, 2])).
% 3.03/3.24 tff(12420,plain,
% 3.03/3.24 (b(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[698, 12419])).
% 3.03/3.24 tff(12421,plain,
% 3.03/3.24 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8005, 59, 63, 90, 64])).
% 3.03/3.24 tff(12422,plain,
% 3.03/3.24 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[409, 12421])).
% 3.03/3.24 tff(12423,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[9287, 12422, 12420, 254, 12418])).
% 3.03/3.24 tff(12424,plain,((~r(s(z), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(z)), z)) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12425,plain,
% 3.03/3.24 (~r(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12424, 12411, 12316, 90, 12373, 12409, 12208])).
% 3.03/3.24 tff(12426,plain,
% 3.03/3.24 (b(s(z), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[380, 12425])).
% 3.03/3.24 tff(12427,plain,
% 3.03/3.24 (~b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10986, 12426, 382])).
% 3.03/3.24 tff(12428,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3202, 12427, 12416])).
% 3.03/3.24 tff(12429,plain,((~b(z, s(s(s(s(s(s(z)))))))) | (~b(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12430,plain,
% 3.03/3.24 (~b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12429, 382, 90])).
% 3.03/3.24 tff(12431,plain,
% 3.03/3.24 (r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[538, 12430])).
% 3.03/3.24 tff(12432,plain,
% 3.03/3.24 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[9556, 12431, 90, 12201, 12208])).
% 3.03/3.24 tff(12433,plain,
% 3.03/3.24 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[341, 12432])).
% 3.03/3.24 tff(12434,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[594, 12431, 90, 12208, 12373])).
% 3.03/3.24 tff(12435,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[279, 12434])).
% 3.03/3.24 tff(12436,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2442, 12433, 12201, 12435])).
% 3.03/3.24 tff(12437,plain,
% 3.03/3.24 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12436])).
% 3.03/3.24 tff(12438,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[566, 12437, 90, 12208, 12431])).
% 3.03/3.24 tff(12439,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[232, 12438])).
% 3.03/3.24 tff(12440,plain,
% 3.03/3.24 (~r(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2482, 12437, 12208, 12316])).
% 3.03/3.24 tff(12441,plain,
% 3.03/3.24 (b(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1392, 12440])).
% 3.03/3.24 tff(12442,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8874, 3411, 56, 197])).
% 3.03/3.24 tff(12443,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2083, 12442])).
% 3.03/3.24 tff(12444,plain,
% 3.03/3.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10883, 12443, 63, 1])).
% 3.03/3.24 tff(12445,plain,
% 3.03/3.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2072, 12444])).
% 3.03/3.24 tff(12446,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(s(z)))))))) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(12447,plain,
% 3.03/3.24 (((~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(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(z)), s(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(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(12448,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), 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(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 3.03/3.24 inference(monotonicity,[status(thm)],[12447])).
% 3.03/3.24 tff(12449,plain,
% 3.03/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), 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(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[12448, 12446])).
% 3.03/3.24 tff(12450,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(12451,plain,
% 3.03/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 3.03/3.24 tff(12452,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12451, 102, 7981, 56, 254, 197, 3411, 12445])).
% 3.03/3.24 tff(12453,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(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,[]))).
% 3.03/3.24 tff(12454,plain,
% 3.03/3.24 (~b(z, s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12453, 12441, 12435, 12439, 12316, 12431])).
% 3.03/3.24 tff(12455,plain,
% 3.03/3.24 (r(z, s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[54, 12454])).
% 3.03/3.24 tff(12456,plain,
% 3.03/3.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[25, 12455, 12437, 12208, 12431])).
% 3.03/3.24 tff(12457,plain,
% 3.03/3.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2072, 12456])).
% 3.03/3.24 tff(12458,plain,
% 3.03/3.24 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11888, 12455, 90, 12373, 12431])).
% 3.03/3.24 tff(12459,plain,
% 3.03/3.24 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2114, 12458])).
% 3.03/3.24 tff(12460,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11832, 12459, 12457, 12433])).
% 3.03/3.24 tff(12461,plain,
% 3.03/3.24 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11679, 12460])).
% 3.03/3.24 tff(12462,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12236, 12455, 12208, 12437, 12431])).
% 3.03/3.24 tff(12463,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8907, 12462])).
% 3.03/3.24 tff(12464,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[7127, 12459, 12439, 12463])).
% 3.03/3.24 tff(12465,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2048, 12464])).
% 3.03/3.24 tff(12466,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8924, 12465, 12441, 12208, 12439, 12459])).
% 3.03/3.24 tff(12467,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[6546, 12466])).
% 3.03/3.24 tff(12468,plain,
% 3.03/3.24 (((~![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(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(s(s(s(s(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(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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(12469,plain,
% 3.03/3.24 (((~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)))))), 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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(12470,plain,
% 3.03/3.24 (((~![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(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)))))), 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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))))),
% 3.03/3.24 inference(monotonicity,[status(thm)],[12469])).
% 3.03/3.24 tff(12471,plain,
% 3.03/3.24 (((~![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(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)))))), 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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.03/3.24 inference(transitivity,[status(thm)],[12470, 12468])).
% 3.03/3.24 tff(12472,plain,
% 3.03/3.24 ((~![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(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)))),
% 3.03/3.24 inference(quant_inst,[status(thm)],[])).
% 3.03/3.24 tff(12473,plain,
% 3.03/3.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(z))))))),
% 3.03/3.24 inference(modus_ponens,[status(thm)],[12472, 12471])).
% 3.03/3.24 tff(12474,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12473, 17, 12316, 12373, 12455, 12467, 12461])).
% 3.03/3.24 tff(12475,plain,((~b(z, s(z))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12476,plain,
% 3.03/3.24 (~b(z, s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12475, 90])).
% 3.03/3.24 tff(12477,plain,
% 3.03/3.24 (r(z, s(z))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[88, 12476])).
% 3.03/3.24 tff(12478,plain,
% 3.03/3.24 (~r(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3247, 12477, 90, 9915])).
% 3.03/3.24 tff(12479,plain,
% 3.03/3.24 (b(s(z), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[3202, 12478])).
% 3.03/3.24 tff(12480,plain,
% 3.03/3.24 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2643, 1, 90, 9915, 12477])).
% 3.03/3.24 tff(12481,plain,
% 3.03/3.24 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[165, 12480])).
% 3.03/3.24 tff(12482,plain,
% 3.03/3.24 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2758, 1, 90, 9915, 12477])).
% 3.03/3.24 tff(12483,plain,
% 3.03/3.24 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[361, 12482])).
% 3.03/3.24 tff(12484,plain,
% 3.03/3.24 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1190, 12483, 12481, 12479])).
% 3.03/3.24 tff(12485,plain,
% 3.03/3.24 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[341, 12484])).
% 3.03/3.24 tff(12486,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8940, 2, 1, 3, 90])).
% 3.03/3.24 tff(12487,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[279, 12486])).
% 3.03/3.24 tff(12488,plain,
% 3.03/3.24 (~r(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2254, 2, 90, 9915, 12477])).
% 3.03/3.24 tff(12489,plain,
% 3.03/3.24 (b(s(z), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[698, 12488])).
% 3.03/3.24 tff(12490,plain,
% 3.03/3.24 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1140, 2, 90, 1, 12485])).
% 3.03/3.24 tff(12491,plain,
% 3.03/3.24 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12490])).
% 3.03/3.24 tff(12492,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12111, 12491, 12489, 9915, 12487, 12485])).
% 3.03/3.24 tff(12493,plain,((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12494,plain,
% 3.03/3.24 (~r(z, s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12493, 3, 1, 90])).
% 3.03/3.24 tff(12495,plain,
% 3.03/3.24 (b(z, s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[122, 12494])).
% 3.03/3.24 tff(12496,plain,
% 3.03/3.24 (~b(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8778, 66, 305, 4])).
% 3.03/3.24 tff(12497,plain,
% 3.03/3.24 (r(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1392, 12496])).
% 3.03/3.24 tff(12498,plain,
% 3.03/3.24 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11346, 498, 364, 66])).
% 3.03/3.24 tff(12499,plain,
% 3.03/3.24 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[232, 12498])).
% 3.03/3.24 tff(12500,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11581, 1871, 12499, 12497, 90, 305])).
% 3.03/3.24 tff(12501,plain,((~b(s(s(s(s(s(s(z)))))), 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(z, 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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12502,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12501, 66, 12485, 90, 4, 12483])).
% 3.03/3.24 tff(12503,plain,
% 3.03/3.24 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12502])).
% 3.03/3.24 tff(12504,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2100, 12503, 3, 12485])).
% 3.03/3.24 tff(12505,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[279, 12504])).
% 3.03/3.24 tff(12506,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11602, 5086, 1, 12483])).
% 3.03/3.24 tff(12507,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[6546, 12506])).
% 3.03/3.24 tff(12508,plain,
% 3.03/3.24 (~r(z, s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10010, 5086, 90, 12485, 1, 12483])).
% 3.03/3.24 tff(12509,plain,
% 3.03/3.24 (b(z, s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[54, 12508])).
% 3.03/3.24 tff(12510,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10024, 12509, 5086])).
% 3.03/3.24 tff(12511,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2083, 12510])).
% 3.03/3.24 tff(12512,plain,
% 3.03/3.24 (~b(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8778, 66, 12485, 4])).
% 3.03/3.24 tff(12513,plain,
% 3.03/3.24 (r(s(s(z)), z)),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[1392, 12512])).
% 3.03/3.24 tff(12514,plain,
% 3.03/3.24 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10032, 17, 12513, 90, 12511, 12507])).
% 3.03/3.24 tff(12515,plain,
% 3.03/3.24 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2048, 12514])).
% 3.03/3.24 tff(12516,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4237, 12515, 66, 4, 254])).
% 3.03/3.24 tff(12517,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2072, 12516])).
% 3.03/3.24 tff(12518,plain,
% 3.03/3.24 ($false),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10048, 17, 90, 12485, 12511, 12517, 12507])).
% 3.03/3.24 tff(12519,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.24 tff(12520,plain,
% 3.03/3.24 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12519, 66, 90, 4, 12505, 1])).
% 3.03/3.24 tff(12521,plain,
% 3.03/3.24 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2114, 12520])).
% 3.03/3.24 tff(12522,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11606, 4318, 12497, 90, 235])).
% 3.03/3.24 tff(12523,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[8907, 12522])).
% 3.03/3.24 tff(12524,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11739, 12523, 4, 364, 66])).
% 3.03/3.24 tff(12525,plain,
% 3.03/3.24 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[11679, 12524])).
% 3.03/3.24 tff(12526,plain,
% 3.03/3.24 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[12501, 66, 305, 90, 4, 364])).
% 3.03/3.24 tff(12527,plain,
% 3.03/3.24 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[496, 12526])).
% 3.03/3.24 tff(12528,plain,
% 3.03/3.24 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2100, 12527, 3, 305])).
% 3.03/3.24 tff(12529,plain,
% 3.03/3.24 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[279, 12528])).
% 3.03/3.24 tff(12530,plain,
% 3.03/3.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[10810, 4318, 3, 12527, 305])).
% 3.03/3.24 tff(12531,plain,
% 3.03/3.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2072, 12530])).
% 3.03/3.24 tff(12532,plain,
% 3.03/3.24 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[4237, 12531, 66, 4, 12529])).
% 3.03/3.24 tff(12533,plain,
% 3.03/3.24 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.24 inference(unit_resolution,[status(thm)],[2048, 12532])).
% 3.03/3.24 tff(12534,plain,
% 3.03/3.24 (((~![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(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(z)))))) | (~r(s(s(s(s(s(s(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(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(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(12535,plain,
% 3.03/3.24 (((~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(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(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(z)))), s(s(z)))))),
% 3.03/3.24 inference(rewrite,[status(thm)],[])).
% 3.03/3.24 tff(12536,plain,
% 3.03/3.24 (((~![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(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(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(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(z)))), s(s(z))))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[12535])).
% 3.03/3.25 tff(12537,plain,
% 3.03/3.25 (((~![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(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(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(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(z)))), s(s(z)))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[12536, 12534])).
% 3.03/3.25 tff(12538,plain,
% 3.03/3.25 ((~![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(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(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)))))))))),
% 3.03/3.25 inference(quant_inst,[status(thm)],[])).
% 3.03/3.25 tff(12539,plain,
% 3.03/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 3.03/3.25 tff(12540,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12539, 17, 3, 305, 4318, 12533, 12525])).
% 3.03/3.25 tff(12541,plain,((~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))))), s(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(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12542,plain,
% 3.03/3.25 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12541, 12521, 12485, 4, 12483, 66, 90, 3])).
% 3.03/3.25 tff(12543,plain,
% 3.03/3.25 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[232, 12542])).
% 3.03/3.25 tff(12544,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[8349, 102, 7981, 66, 4, 12483, 12543])).
% 3.03/3.25 tff(12545,plain,((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12546,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12545, 12495, 90, 3, 1])).
% 3.03/3.25 tff(12547,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[252, 12546])).
% 3.03/3.25 tff(12548,plain,
% 3.03/3.25 (~b(s(z), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4718, 498, 12477, 12495, 12547, 1])).
% 3.03/3.25 tff(12549,plain,
% 3.03/3.25 (r(s(z), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[698, 12548])).
% 3.03/3.25 tff(12550,plain,
% 3.03/3.25 (~r(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3094, 12549, 9915, 3])).
% 3.03/3.25 tff(12551,plain,
% 3.03/3.25 (b(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[195, 12550])).
% 3.03/3.25 tff(12552,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[5363, 12551, 498, 12481])).
% 3.03/3.25 tff(12553,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[409, 12552])).
% 3.03/3.25 tff(12554,plain,
% 3.03/3.25 (~r(s(z), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1930, 12553, 12477, 12547])).
% 3.03/3.25 tff(12555,plain,
% 3.03/3.25 (b(s(z), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[380, 12554])).
% 3.03/3.25 tff(12556,plain,
% 3.03/3.25 (~b(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2736, 12555, 12495, 12551])).
% 3.03/3.25 tff(12557,plain,
% 3.03/3.25 (r(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1392, 12556])).
% 3.03/3.25 tff(12558,plain,
% 3.03/3.25 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11346, 498, 12483, 12495])).
% 3.03/3.25 tff(12559,plain,
% 3.03/3.25 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[232, 12558])).
% 3.03/3.25 tff(12560,plain,
% 3.03/3.25 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2100, 62, 3, 305])).
% 3.03/3.25 tff(12561,plain,
% 3.03/3.25 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[496, 12560])).
% 3.03/3.25 tff(12562,plain,
% 3.03/3.25 (~b(s(z), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[4718, 12561, 68, 66, 63, 1])).
% 3.03/3.25 tff(12563,plain,
% 3.03/3.25 (r(s(z), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[698, 12562])).
% 3.03/3.25 tff(12564,plain,
% 3.03/3.25 (~r(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3094, 12563, 67, 3])).
% 3.03/3.25 tff(12565,plain,
% 3.03/3.25 (b(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[195, 12564])).
% 3.03/3.25 tff(12566,plain,
% 3.03/3.25 (~r(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2713, 62, 1, 63])).
% 3.03/3.25 tff(12567,plain,
% 3.03/3.25 (b(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1392, 12566])).
% 3.03/3.25 tff(12568,plain,
% 3.03/3.25 (~b(s(z), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[7004, 12567, 67, 3, 66])).
% 3.03/3.25 tff(12569,plain,
% 3.03/3.25 (r(s(z), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[380, 12568])).
% 3.03/3.25 tff(12570,plain,
% 3.03/3.25 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1930, 12569, 68, 63])).
% 3.03/3.25 tff(12571,plain,
% 3.03/3.25 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[409, 12570])).
% 3.03/3.25 tff(12572,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[5363, 12571, 12565, 12561, 125])).
% 3.03/3.25 tff(12573,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~r(z, s(z))) | (~r(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(z)))) | (~b(z, 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,[]))).
% 3.03/3.25 tff(12574,plain,
% 3.03/3.25 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12573, 12547, 12477, 12481, 9915, 3, 12495, 1, 12485])).
% 3.03/3.25 tff(12575,plain,
% 3.03/3.25 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[279, 12574])).
% 3.03/3.25 tff(12576,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2923, 498, 12495, 12575, 1])).
% 3.03/3.25 tff(12577,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2048, 12576])).
% 3.03/3.25 tff(12578,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11631, 3411, 3410])).
% 3.03/3.25 tff(12579,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[6546, 12578])).
% 3.03/3.25 tff(12580,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(12581,plain,
% 3.03/3.25 (((~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(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(12582,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[12581])).
% 3.03/3.25 tff(12583,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[12582, 12580])).
% 3.03/3.25 tff(12584,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.25 inference(quant_inst,[status(thm)],[])).
% 3.03/3.25 tff(12585,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 3.03/3.25 tff(12586,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12585, 102, 2300, 3411, 363, 3410])).
% 3.03/3.25 tff(12587,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12588,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12587, 3411, 363, 3410])).
% 3.03/3.25 tff(12589,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1573, 12588])).
% 3.03/3.25 tff(12590,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11781, 12589, 12579, 235, 4477, 67])).
% 3.03/3.25 tff(12591,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12592,plain,
% 3.03/3.25 (~b(z, s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12591, 3410, 4477, 9915, 363, 235])).
% 3.03/3.25 tff(12593,plain,
% 3.03/3.25 (r(z, s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[54, 12592])).
% 3.03/3.25 tff(12594,plain,
% 3.03/3.25 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[10010, 12593, 90, 12485, 1, 12483])).
% 3.03/3.25 tff(12595,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[10847, 7, 90, 12485, 1])).
% 3.03/3.25 tff(12596,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[6546, 12595])).
% 3.03/3.25 tff(12597,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[9643, 7, 90, 12477, 4318])).
% 3.03/3.25 tff(12598,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1573, 12597])).
% 3.03/3.25 tff(12599,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[10875, 12598, 12596, 168, 66, 3410])).
% 3.03/3.25 tff(12600,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(z)), s(z))) | (~b(z, 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))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12601,plain,
% 3.03/3.25 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12600, 12593, 66, 3410, 90, 168, 1])).
% 3.03/3.25 tff(12602,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2114, 12601, 12594])).
% 3.03/3.25 tff(12603,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~b(s(z), z)) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12604,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12603, 12551, 90, 12495, 1, 12577, 12555, 12559])).
% 3.03/3.25 tff(12605,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2083, 12604])).
% 3.03/3.25 tff(12606,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[10883, 12605, 12547, 1])).
% 3.03/3.25 tff(12607,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2072, 12606])).
% 3.03/3.25 tff(12608,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(12609,plain,
% 3.03/3.25 (((~b(s(s(z)), s(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(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(z)), 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.25 inference(rewrite,[status(thm)],[])).
% 3.03/3.25 tff(12610,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 3.03/3.25 inference(monotonicity,[status(thm)],[12609])).
% 3.03/3.25 tff(12611,plain,
% 3.03/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 3.03/3.25 inference(transitivity,[status(thm)],[12610, 12608])).
% 3.03/3.25 tff(12612,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 3.03/3.25 inference(quant_inst,[status(thm)],[])).
% 3.03/3.25 tff(12613,plain,
% 3.03/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.03/3.25 inference(modus_ponens,[status(thm)],[12612, 12611])).
% 3.03/3.25 tff(12614,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12613, 102, 498, 168, 254, 7119, 3366])).
% 3.03/3.25 tff(12615,plain,((~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(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))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12616,plain,
% 3.03/3.25 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12615, 498, 12551, 12575, 12607])).
% 3.03/3.25 tff(12617,plain,
% 3.03/3.25 (r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[8907, 12616])).
% 3.03/3.25 tff(12618,plain,
% 3.03/3.25 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11606, 12617, 12559, 90, 12557])).
% 3.03/3.25 tff(12619,plain,
% 3.03/3.25 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2114, 12618])).
% 3.03/3.25 tff(12620,plain,
% 3.03/3.25 (~r(z, s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[10010, 12619, 90, 12485, 1, 12483])).
% 3.03/3.25 tff(12621,plain,
% 3.03/3.25 (b(z, s(s(s(s(z)))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[54, 12620])).
% 3.03/3.25 tff(12622,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11602, 12619, 1, 12483])).
% 3.03/3.25 tff(12623,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[6546, 12622])).
% 3.03/3.25 tff(12624,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[10392, 12623, 12621, 90, 12495, 12547, 1, 498, 3, 12551, 12619])).
% 3.03/3.25 tff(12625,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12626,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12625, 3, 1, 90])).
% 3.03/3.25 tff(12627,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[496, 12626])).
% 3.03/3.25 tff(12628,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3113, 17, 234, 5, 67, 3, 305])).
% 3.03/3.25 tff(12629,plain,((~r(s(s(z)), 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(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12630,plain,
% 3.03/3.25 (~r(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12629, 12627, 9915, 3, 12485])).
% 3.03/3.25 tff(12631,plain,
% 3.03/3.25 (b(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[195, 12630])).
% 3.03/3.25 tff(12632,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3543, 12631, 12481, 12575])).
% 3.03/3.25 tff(12633,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[409, 12632])).
% 3.03/3.25 tff(12634,plain,
% 3.03/3.25 (~r(s(z), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1930, 12633, 12477, 12547])).
% 3.03/3.25 tff(12635,plain,
% 3.03/3.25 (b(s(z), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[380, 12634])).
% 3.03/3.25 tff(12636,plain,
% 3.03/3.25 (~r(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[7695, 12633, 12477, 12547, 12627])).
% 3.03/3.25 tff(12637,plain,
% 3.03/3.25 (b(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1392, 12636])).
% 3.03/3.25 tff(12638,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2736, 12637, 12635, 12495, 12631])).
% 3.03/3.25 tff(12639,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12640,plain,
% 3.03/3.25 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12639, 1, 90])).
% 3.03/3.25 tff(12641,plain,
% 3.03/3.25 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1711, 12640])).
% 3.03/3.25 tff(12642,plain,
% 3.03/3.25 (~r(z, s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[9556, 12641, 90, 1, 12485])).
% 3.03/3.25 tff(12643,plain,
% 3.03/3.25 (b(z, s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[122, 12642])).
% 3.03/3.25 tff(12644,plain,
% 3.03/3.25 (~b(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[8743, 12643, 12641])).
% 3.03/3.25 tff(12645,plain,
% 3.03/3.25 (r(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1392, 12644])).
% 3.03/3.25 tff(12646,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2402, 12645, 90, 9915, 12483, 12641, 12479])).
% 3.03/3.25 tff(12647,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[496, 12646])).
% 3.03/3.25 tff(12648,plain,
% 3.03/3.25 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11694, 12643, 12641])).
% 3.03/3.25 tff(12649,plain,
% 3.03/3.25 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[232, 12648])).
% 3.03/3.25 tff(12650,plain,
% 3.03/3.25 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11581, 12645, 12649, 90, 12485])).
% 3.03/3.25 tff(12651,plain,
% 3.03/3.25 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[279, 12650])).
% 3.03/3.25 tff(12652,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11706, 12651, 12641, 12643])).
% 3.03/3.25 tff(12653,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[252, 12652])).
% 3.03/3.25 tff(12654,plain,
% 3.03/3.25 (~r(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12206, 12643, 90, 12641])).
% 3.03/3.25 tff(12655,plain,
% 3.03/3.25 (b(s(s(z)), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[195, 12654])).
% 3.03/3.25 tff(12656,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[3543, 12651, 12481, 12655])).
% 3.03/3.25 tff(12657,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[409, 12656])).
% 3.03/3.25 tff(12658,plain,
% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[7695, 12657, 12653, 12477, 12645, 12647])).
% 3.03/3.25 tff(12659,plain,((~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12660,plain,
% 3.03/3.25 (~r(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12659, 90])).
% 3.03/3.25 tff(12661,plain,
% 3.03/3.25 (b(z, s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[538, 12660])).
% 3.03/3.25 tff(12662,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[9102, 60, 12661])).
% 3.03/3.25 tff(12663,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[252, 12662])).
% 3.03/3.25 tff(12664,plain,
% 3.03/3.25 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[9134, 60, 12661])).
% 3.03/3.25 tff(12665,plain,
% 3.03/3.25 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[361, 12664])).
% 3.03/3.25 tff(12666,plain,
% 3.03/3.25 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[7993, 5, 90, 12665, 12663])).
% 3.03/3.25 tff(12667,plain,
% 3.03/3.25 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1711, 12666])).
% 3.03/3.25 tff(12668,plain,
% 3.03/3.25 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[205, 12489, 12479, 57])).
% 3.03/3.25 tff(12669,plain,
% 3.03/3.25 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[232, 12668])).
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% 3.03/3.25 ($false),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[650, 17, 9915, 12669, 12477, 2, 90])).
% 3.03/3.25 tff(12671,plain,((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.25 tff(12672,plain,
% 3.03/3.25 (~r(z, s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[12671, 12667, 90])).
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% 3.03/3.25 (b(z, s(s(z)))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[122, 12672])).
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% 3.03/3.25 (~b(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[8743, 12673, 12667])).
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% 3.03/3.25 (r(s(s(z)), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[1392, 12674])).
% 3.03/3.25 tff(12676,plain,
% 3.03/3.25 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11694, 12673, 12667])).
% 3.03/3.25 tff(12677,plain,
% 3.03/3.25 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[232, 12676])).
% 3.03/3.25 tff(12678,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11920, 7119, 12667, 12673, 3411])).
% 3.03/3.25 tff(12679,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[6546, 12678])).
% 3.03/3.25 tff(12680,plain,
% 3.03/3.25 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11856, 7119, 12667, 12673, 60])).
% 3.03/3.25 tff(12681,plain,
% 3.03/3.25 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2072, 12680])).
% 3.03/3.25 tff(12682,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[10266, 12681, 90, 12663, 12679])).
% 3.03/3.25 tff(12683,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), z)),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[2083, 12682])).
% 3.03/3.25 tff(12684,plain,
% 3.03/3.25 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.25 inference(unit_resolution,[status(thm)],[11083, 12681, 9915, 12665, 12679])).
% 3.03/3.25 tff(12685,plain,
% 3.03/3.25 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1573, 12684])).
% 3.03/3.26 tff(12686,plain,
% 3.03/3.26 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11260, 102, 12673, 7119, 12685, 12683])).
% 3.03/3.26 tff(12687,plain,
% 3.03/3.26 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2048, 12686])).
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% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11876, 17, 5, 12677, 12681, 12687, 12679])).
% 3.03/3.26 tff(12689,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12690,plain,
% 3.03/3.26 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12689, 3411, 90, 60, 5])).
% 3.03/3.26 tff(12691,plain,
% 3.03/3.26 (r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[8907, 12690])).
% 3.03/3.26 tff(12692,plain,
% 3.03/3.26 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11606, 12691, 12677, 90, 12675])).
% 3.03/3.26 tff(12693,plain,
% 3.03/3.26 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2114, 12692])).
% 3.03/3.26 tff(12694,plain,
% 3.03/3.26 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10014, 12693, 3411])).
% 3.03/3.26 tff(12695,plain,
% 3.03/3.26 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[6546, 12694])).
% 3.03/3.26 tff(12696,plain,
% 3.03/3.26 (~b(s(s(s(s(z)))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10024, 12693, 3411])).
% 3.03/3.26 tff(12697,plain,
% 3.03/3.26 (r(s(s(s(s(z)))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2083, 12696])).
% 3.03/3.26 tff(12698,plain,
% 3.03/3.26 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10032, 17, 12675, 90, 12697, 12695])).
% 3.03/3.26 tff(12699,plain,
% 3.03/3.26 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2048, 12698])).
% 3.03/3.26 tff(12700,plain,
% 3.03/3.26 (~b(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10060, 56, 12661, 498])).
% 3.03/3.26 tff(12701,plain,
% 3.03/3.26 (r(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[122, 12700])).
% 3.03/3.26 tff(12702,plain,
% 3.03/3.26 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[7293, 56, 12661, 60, 498])).
% 3.03/3.26 tff(12703,plain,
% 3.03/3.26 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1711, 12702])).
% 3.03/3.26 tff(12704,plain,
% 3.03/3.26 (~r(s(z), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2254, 12701, 90, 9915, 12477])).
% 3.03/3.26 tff(12705,plain,
% 3.03/3.26 (b(s(z), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[698, 12704])).
% 3.03/3.26 tff(12706,plain,
% 3.03/3.26 (~b(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[616, 12705, 56, 12661, 498])).
% 3.03/3.26 tff(12707,plain,
% 3.03/3.26 (r(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[380, 12706])).
% 3.03/3.26 tff(12708,plain,
% 3.03/3.26 (~b(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10788, 12707, 12661, 90, 56, 12703])).
% 3.03/3.26 tff(12709,plain,
% 3.03/3.26 (r(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[195, 12708])).
% 3.03/3.26 tff(12710,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2960, 17, 12709, 12703, 12477, 12701, 90])).
% 3.03/3.26 tff(12711,plain,((~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12712,plain,
% 3.03/3.26 (~b(s(s(z)), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12711, 498, 90, 60])).
% 3.03/3.26 tff(12713,plain,
% 3.03/3.26 (r(s(s(z)), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1392, 12712])).
% 3.03/3.26 tff(12714,plain,
% 3.03/3.26 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11286, 12713, 12663, 62, 90])).
% 3.03/3.26 tff(12715,plain,
% 3.03/3.26 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[232, 12714])).
% 3.03/3.26 tff(12716,plain,
% 3.03/3.26 (~r(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2687, 12713, 12477, 12663, 62])).
% 3.03/3.26 tff(12717,plain,
% 3.03/3.26 (b(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[195, 12716])).
% 3.03/3.26 tff(12718,plain,
% 3.03/3.26 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[176, 12489, 12479, 12717])).
% 3.03/3.26 tff(12719,plain,
% 3.03/3.26 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1711, 12718])).
% 3.03/3.26 tff(12720,plain,
% 3.03/3.26 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11054, 7, 3, 90, 498, 60, 2])).
% 3.03/3.26 tff(12721,plain,
% 3.03/3.26 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2114, 12720])).
% 3.03/3.26 tff(12722,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10256, 10954, 12721, 12661, 498, 60])).
% 3.03/3.26 tff(12723,plain,((~r(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)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12724,plain,
% 3.03/3.26 (~r(z, s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12723, 12719, 60, 498, 90, 2])).
% 3.03/3.26 tff(12725,plain,
% 3.03/3.26 (b(z, s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[54, 12724])).
% 3.03/3.26 tff(12726,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[7569, 102, 92, 425, 498, 168])).
% 3.03/3.26 tff(12727,plain,((~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12728,plain,
% 3.03/3.26 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12727, 12489, 12717, 498])).
% 3.03/3.26 tff(12729,plain,
% 3.03/3.26 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[409, 12728])).
% 3.03/3.26 tff(12730,plain,
% 3.03/3.26 (~r(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[8005, 12729, 12663, 90, 12665])).
% 3.03/3.26 tff(12731,plain,
% 3.03/3.26 (b(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[380, 12730])).
% 3.03/3.26 tff(12732,plain,
% 3.03/3.26 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[9633, 12725, 12479, 12489, 12731])).
% 3.03/3.26 tff(12733,plain,
% 3.03/3.26 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2048, 12732])).
% 3.03/3.26 tff(12734,plain,
% 3.03/3.26 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11075, 12733, 12719, 2, 62, 12725, 12713])).
% 3.03/3.26 tff(12735,plain,
% 3.03/3.26 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2072, 12734])).
% 3.03/3.26 tff(12736,plain,
% 3.03/3.26 (~r(s(s(s(s(z)))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[7254, 12733, 12713, 2])).
% 3.03/3.26 tff(12737,plain,
% 3.03/3.26 (b(s(s(s(s(z)))), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2083, 12736])).
% 3.03/3.26 tff(12738,plain,
% 3.03/3.26 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10024, 12737, 12725])).
% 3.03/3.26 tff(12739,plain,
% 3.03/3.26 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2114, 12738])).
% 3.03/3.26 tff(12740,plain,
% 3.03/3.26 (~b(s(s(s(s(z)))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12587, 12737, 12731, 12725])).
% 3.03/3.26 tff(12741,plain,
% 3.03/3.26 (r(s(s(s(s(z)))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1573, 12740])).
% 3.03/3.26 tff(12742,plain,
% 3.03/3.26 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10832, 12741, 9915, 12719, 12739])).
% 3.03/3.26 tff(12743,plain,
% 3.03/3.26 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[8907, 12742])).
% 3.03/3.26 tff(12744,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(12745,plain,
% 3.03/3.26 (((~b(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(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(z, 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(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(12746,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z))))))))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[12745])).
% 3.03/3.26 tff(12747,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.26 inference(transitivity,[status(thm)],[12746, 12744])).
% 3.03/3.26 tff(12748,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(12749,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[12748, 12747])).
% 3.03/3.26 tff(12750,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12749, 102, 498, 12661, 12743, 12725, 12735])).
% 3.03/3.26 tff(12751,plain,((~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(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(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12752,plain,
% 3.03/3.26 (~r(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12751, 498, 62, 60, 90])).
% 3.03/3.26 tff(12753,plain,
% 3.03/3.26 (b(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[122, 12752])).
% 3.03/3.26 tff(12754,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(12755,plain,
% 3.03/3.26 (((~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(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(z, 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(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(12756,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[12755])).
% 3.03/3.26 tff(12757,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 3.03/3.26 inference(transitivity,[status(thm)],[12756, 12754])).
% 3.03/3.26 tff(12758,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(12759,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[12758, 12757])).
% 3.03/3.26 tff(12760,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12759, 102, 12753, 498, 12661, 60, 12715])).
% 3.03/3.26 tff(12761,plain,((~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)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12762,plain,
% 3.03/3.26 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12761, 62, 60, 90])).
% 3.03/3.26 tff(12763,plain,
% 3.03/3.26 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[496, 12762])).
% 3.03/3.26 tff(12764,plain,
% 3.03/3.26 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[7993, 12763, 90, 12665, 12663])).
% 3.03/3.26 tff(12765,plain,
% 3.03/3.26 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1711, 12764])).
% 3.03/3.26 tff(12766,plain,
% 3.03/3.26 (~b(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[8743, 56, 12765])).
% 3.03/3.26 tff(12767,plain,
% 3.03/3.26 (r(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[122, 12766])).
% 3.03/3.26 tff(12768,plain,
% 3.03/3.26 (~r(s(z), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2254, 12767, 90, 9915, 12477])).
% 3.03/3.26 tff(12769,plain,
% 3.03/3.26 (b(s(z), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[698, 12768])).
% 3.03/3.26 tff(12770,plain,
% 3.03/3.26 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11574, 12769, 12661, 12765, 60])).
% 3.03/3.26 tff(12771,plain,
% 3.03/3.26 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[409, 12770])).
% 3.03/3.26 tff(12772,plain,
% 3.03/3.26 (~b(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[176, 12769, 12479, 12765])).
% 3.03/3.26 tff(12773,plain,
% 3.03/3.26 (r(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[195, 12772])).
% 3.03/3.26 tff(12774,plain,
% 3.03/3.26 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[133, 12769, 12479, 12765, 56, 12661])).
% 3.03/3.26 tff(12775,plain,
% 3.03/3.26 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[165, 12774])).
% 3.03/3.26 tff(12776,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1441, 12775, 12773, 12771, 62])).
% 3.03/3.26 tff(12777,plain,((~b(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12778,plain,
% 3.03/3.26 (~b(s(s(z)), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12777, 62, 60, 90])).
% 3.03/3.26 tff(12779,plain,
% 3.03/3.26 (r(s(s(z)), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[1392, 12778])).
% 3.03/3.26 tff(12780,plain,
% 3.03/3.26 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11286, 12779, 12663, 62, 90])).
% 3.03/3.26 tff(12781,plain,
% 3.03/3.26 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[232, 12780])).
% 3.03/3.26 tff(12782,plain,
% 3.03/3.26 (~r(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2482, 12779, 12763, 12663])).
% 3.03/3.26 tff(12783,plain,
% 3.03/3.26 (b(z, s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[122, 12782])).
% 3.03/3.26 tff(12784,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11694, 12783, 12781, 12765])).
% 3.03/3.26 tff(12785,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(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,[]))).
% 3.03/3.26 tff(12786,plain,
% 3.03/3.26 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12785, 60, 90])).
% 3.03/3.26 tff(12787,plain,
% 3.03/3.26 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[279, 12786])).
% 3.03/3.26 tff(12788,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)), 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)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)), 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)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(12789,plain,
% 3.03/3.26 (((~b(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(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(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)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.03/3.26 inference(rewrite,[status(thm)],[])).
% 3.03/3.26 tff(12790,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(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(X0, 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)), 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)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.03/3.26 inference(monotonicity,[status(thm)],[12789])).
% 3.03/3.26 tff(12791,plain,
% 3.03/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(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(X0, 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)), 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)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.03/3.26 inference(transitivity,[status(thm)],[12790, 12788])).
% 3.03/3.26 tff(12792,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(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(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.03/3.26 inference(quant_inst,[status(thm)],[])).
% 3.03/3.26 tff(12793,plain,
% 3.03/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.03/3.26 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 3.03/3.26 tff(12794,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12793, 102, 7981, 12787, 60, 12693, 3411, 12699])).
% 3.03/3.26 tff(12795,plain,((~b(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(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.26 tff(12796,plain,
% 3.03/3.26 (~b(z, s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12795, 5, 90, 60])).
% 3.03/3.26 tff(12797,plain,
% 3.03/3.26 (r(z, s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[54, 12796])).
% 3.03/3.26 tff(12798,plain,
% 3.03/3.26 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11942, 12797, 60, 12663, 12787, 90, 12673])).
% 3.03/3.26 tff(12799,plain,
% 3.03/3.26 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[6546, 12798])).
% 3.03/3.26 tff(12800,plain,
% 3.03/3.26 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[7695, 12675, 12477, 12663, 5])).
% 3.03/3.26 tff(12801,plain,
% 3.03/3.26 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[409, 12800])).
% 3.03/3.26 tff(12802,plain,
% 3.03/3.26 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[878, 12801, 12479, 60])).
% 3.03/3.26 tff(12803,plain,
% 3.03/3.26 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[165, 12802])).
% 3.03/3.26 tff(12804,plain,
% 3.03/3.26 (~r(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[12206, 12673, 90, 12667])).
% 3.03/3.26 tff(12805,plain,
% 3.03/3.26 (b(s(s(z)), s(z))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[195, 12804])).
% 3.03/3.26 tff(12806,plain,
% 3.03/3.26 (~b(s(z), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[176, 12805, 12479, 12667])).
% 3.03/3.26 tff(12807,plain,
% 3.03/3.26 (r(s(z), s(s(z)))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[698, 12806])).
% 3.03/3.26 tff(12808,plain,
% 3.03/3.26 (~b(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[9818, 12807, 12477, 60, 12787, 12667, 12663, 12805])).
% 3.03/3.26 tff(12809,plain,
% 3.03/3.26 (r(s(z), z)),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[380, 12808])).
% 3.03/3.26 tff(12810,plain,
% 3.03/3.26 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[10186, 1537, 12663, 12797])).
% 3.03/3.26 tff(12811,plain,
% 3.03/3.26 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11679, 12810])).
% 3.03/3.26 tff(12812,plain,
% 3.03/3.26 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11832, 5086, 60, 11731])).
% 3.03/3.26 tff(12813,plain,
% 3.03/3.26 (~b(s(z), s(s(s(s(z)))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[6592, 5086, 91, 3594])).
% 3.03/3.26 tff(12814,plain,
% 3.03/3.26 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[11003, 12813, 63, 59, 167])).
% 3.03/3.26 tff(12815,plain,
% 3.03/3.26 ($false),
% 3.03/3.26 inference(unit_resolution,[status(thm)],[2072, 12814, 12812])).
% 3.03/3.26 tff(12816,plain,((~b(s(s(s(s(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)))))))) | (~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(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(12817,plain,
% 3.03/3.27 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12816, 12811, 12809, 12803, 60, 12663, 12479, 12799])).
% 3.03/3.27 tff(12818,plain,
% 3.03/3.27 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2114, 12817])).
% 3.03/3.27 tff(12819,plain,
% 3.03/3.27 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[9643, 12818, 90, 12477, 12797])).
% 3.03/3.27 tff(12820,plain,
% 3.03/3.27 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1573, 12819])).
% 3.03/3.27 tff(12821,plain,
% 3.03/3.27 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[11606, 12818, 12677, 90, 12675])).
% 3.03/3.27 tff(12822,plain,
% 3.03/3.27 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[8907, 12821])).
% 3.03/3.27 tff(12823,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12824,plain,
% 3.03/3.27 (((~b(s(s(s(s(z)))), 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(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))))), 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(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12825,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(z)), 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(X0, 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(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(z)))), s(z)))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[12824])).
% 3.03/3.27 tff(12826,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(z)), 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(X0, 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(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(z)))), s(z))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[12825, 12823])).
% 3.03/3.27 tff(12827,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(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(z)), 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))))))))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(12828,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 3.03/3.27 tff(12829,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12828, 102, 57, 7119, 2300, 1588, 3594])).
% 3.03/3.27 tff(12830,plain,((~b(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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(12831,plain,
% 3.03/3.27 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12830, 12822, 12667, 12799, 12820])).
% 3.03/3.27 tff(12832,plain,
% 3.03/3.27 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2048, 12831])).
% 3.03/3.27 tff(12833,plain,
% 3.03/3.27 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[11856, 12822, 12667, 12673, 60])).
% 3.03/3.27 tff(12834,plain,
% 3.03/3.27 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2072, 12833])).
% 3.03/3.27 tff(12835,plain,
% 3.03/3.27 (((~![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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), 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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12836,plain,
% 3.03/3.27 (((~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), 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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12837,plain,
% 3.03/3.27 (((~![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(z)), z)) | (~r(s(s(s(s(z)))), 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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[12836])).
% 3.03/3.27 tff(12838,plain,
% 3.03/3.27 (((~![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(z)), z)) | (~r(s(s(s(s(z)))), 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(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[12837, 12835])).
% 3.03/3.27 tff(12839,plain,
% 3.03/3.27 ((~![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(z)), z)) | (~r(s(s(s(s(z)))), 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)))))))))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(12840,plain,
% 3.03/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 3.03/3.27 tff(12841,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12840, 17, 5, 12675, 1537, 12834, 12832])).
% 3.03/3.27 tff(12842,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(z)))))), 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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(12843,plain,
% 3.03/3.27 (~r(s(s(s(s(z)))), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12842, 5, 60, 90])).
% 3.03/3.27 tff(12844,plain,
% 3.03/3.27 (b(s(s(s(s(z)))), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2083, 12843])).
% 3.03/3.27 tff(12845,plain,
% 3.03/3.27 (~b(s(s(s(s(z)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[10875, 12844, 12805, 12673, 12799])).
% 3.03/3.27 tff(12846,plain,
% 3.03/3.27 (r(s(s(s(s(z)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1573, 12845])).
% 3.03/3.27 tff(12847,plain,
% 3.03/3.27 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[9643, 12846, 90, 12477, 12797])).
% 3.03/3.27 tff(12848,plain,
% 3.03/3.27 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2114, 12847])).
% 3.03/3.27 tff(12849,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[11842, 102, 7981, 12673, 12787, 60, 12848, 12844])).
% 3.03/3.27 tff(12850,plain,((~r(s(s(s(s(s(s(z)))))), 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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(12851,plain,
% 3.03/3.27 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12850, 60, 90])).
% 3.03/3.27 tff(12852,plain,
% 3.03/3.27 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[496, 12851])).
% 3.03/3.27 tff(12853,plain,
% 3.03/3.27 (~b(s(s(z)), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12711, 12852, 90, 60])).
% 3.03/3.27 tff(12854,plain,
% 3.03/3.27 (r(s(s(z)), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1392, 12853])).
% 3.03/3.27 tff(12855,plain,
% 3.03/3.27 (~b(z, s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1983, 12852, 12661, 12787])).
% 3.03/3.27 tff(12856,plain,
% 3.03/3.27 (r(z, s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[122, 12855])).
% 3.03/3.27 tff(12857,plain,
% 3.03/3.27 (~r(s(z), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12424, 12856, 12663, 90, 12665, 12787, 12854])).
% 3.03/3.27 tff(12858,plain,
% 3.03/3.27 (b(s(z), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[380, 12857])).
% 3.03/3.27 tff(12859,plain,
% 3.03/3.27 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2442, 12852, 60, 12787])).
% 3.03/3.27 tff(12860,plain,
% 3.03/3.27 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1711, 12859])).
% 3.03/3.27 tff(12861,plain,
% 3.03/3.27 (~r(z, s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12723, 12856, 60, 12852, 90, 12860])).
% 3.03/3.27 tff(12862,plain,
% 3.03/3.27 (b(z, s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[54, 12861])).
% 3.03/3.27 tff(12863,plain,
% 3.03/3.27 (~b(s(s(s(s(z)))), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12585, 102, 2300, 3411, 363])).
% 3.03/3.27 tff(12864,plain,
% 3.03/3.27 (r(s(s(s(s(z)))), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1592, 49, 38, 12863])).
% 3.03/3.27 tff(12865,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), 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(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12866,plain,
% 3.03/3.27 (((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(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)))), s(z))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12867,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[12866])).
% 3.03/3.27 tff(12868,plain,
% 3.03/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[12867, 12865])).
% 3.03/3.27 tff(12869,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(12870,plain,
% 3.03/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[12869, 12868])).
% 3.03/3.27 tff(12871,plain,
% 3.03/3.27 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12870, 102, 4759, 2300, 3411, 363])).
% 3.03/3.27 tff(12872,plain,
% 3.03/3.27 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2114, 12871])).
% 3.03/3.27 tff(12873,plain,
% 3.03/3.27 (((~![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(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(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(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(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)))))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12874,plain,
% 3.03/3.27 (((~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)))))), 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(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.03/3.27 inference(rewrite,[status(thm)],[])).
% 3.03/3.27 tff(12875,plain,
% 3.03/3.27 (((~![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(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))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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)))))), 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(s(s(z)))))), s(s(s(s(z))))))))),
% 3.03/3.27 inference(monotonicity,[status(thm)],[12874])).
% 3.03/3.27 tff(12876,plain,
% 3.03/3.27 (((~![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(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))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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)))))), 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(s(s(z)))))), s(s(s(s(z)))))))),
% 3.03/3.27 inference(transitivity,[status(thm)],[12875, 12873])).
% 3.03/3.27 tff(12877,plain,
% 3.03/3.27 ((~![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(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))))))))),
% 3.03/3.27 inference(quant_inst,[status(thm)],[])).
% 3.03/3.27 tff(12878,plain,
% 3.03/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.03/3.27 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 3.03/3.27 tff(12879,plain,
% 3.03/3.27 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12878, 17, 63, 64, 12872, 12864])).
% 3.03/3.27 tff(12880,plain,
% 3.03/3.27 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2904, 49, 2901, 12879])).
% 3.03/3.27 tff(12881,plain,
% 3.03/3.27 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[7108, 17, 65, 2, 12864])).
% 3.03/3.27 tff(12882,plain,
% 3.03/3.27 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1613, 49, 1610, 12881])).
% 3.03/3.27 tff(12883,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2896, 102, 498, 254, 12882, 12880])).
% 3.03/3.27 tff(12884,plain,((~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(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(z)), z)) | (~r(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(z))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.27 tff(12885,plain,
% 3.03/3.27 ((~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(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(z)), z)) | (~r(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12884, 7981])).
% 3.03/3.27 tff(12886,plain,
% 3.03/3.27 (~b(s(s(s(s(z)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[12885, 12862, 12787, 12663, 12665, 12852, 12856, 12854, 12858])).
% 3.03/3.27 tff(12887,plain,
% 3.03/3.27 (r(s(s(s(s(z)))), s(z))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[1573, 12886])).
% 3.03/3.27 tff(12888,plain,
% 3.03/3.27 (~r(s(z), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2254, 12856, 90, 9915, 12477])).
% 3.03/3.27 tff(12889,plain,
% 3.03/3.27 (b(s(z), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[698, 12888])).
% 3.03/3.27 tff(12890,plain,
% 3.03/3.27 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[9633, 12889, 12479, 12862, 12858])).
% 3.03/3.27 tff(12891,plain,
% 3.03/3.27 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2048, 12890])).
% 3.03/3.27 tff(12892,plain,
% 3.03/3.27 (~r(s(s(s(s(z)))), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[7254, 12891, 12854, 12856])).
% 3.03/3.27 tff(12893,plain,
% 3.03/3.27 (b(s(s(s(s(z)))), z)),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2083, 12892])).
% 3.03/3.27 tff(12894,plain,
% 3.03/3.27 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[11631, 12893, 12862])).
% 3.03/3.27 tff(12895,plain,
% 3.03/3.27 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[6546, 12894])).
% 3.03/3.27 tff(12896,plain,
% 3.03/3.27 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[11083, 12895, 9915, 12665, 12887])).
% 3.03/3.27 tff(12897,plain,
% 3.03/3.27 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[2072, 12896])).
% 3.03/3.27 tff(12898,plain,
% 3.03/3.27 ($false),
% 3.03/3.27 inference(unit_resolution,[status(thm)],[4483, 17, 234, 3, 2926, 4477, 10204])).
% 3.03/3.27 tff(12899,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(12900,plain,
% 3.03/3.28 (~r(s(s(z)), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12899, 12895, 12860, 12891, 12887])).
% 3.03/3.28 tff(12901,plain,
% 3.03/3.28 (b(s(s(z)), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[195, 12900])).
% 3.03/3.28 tff(12902,plain,
% 3.03/3.28 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[10024, 12893, 12862])).
% 3.03/3.28 tff(12903,plain,
% 3.03/3.28 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2114, 12902])).
% 3.03/3.28 tff(12904,plain,
% 3.03/3.28 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[10832, 12903, 9915, 12860, 12887])).
% 3.03/3.28 tff(12905,plain,
% 3.03/3.28 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[8907, 12904])).
% 3.03/3.28 tff(12906,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12615, 12905, 12901, 12787, 12852, 12897])).
% 3.03/3.28 tff(12907,plain,((~b(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,[]))).
% 3.03/3.28 tff(12908,plain,
% 3.03/3.28 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12907, 90])).
% 3.03/3.28 tff(12909,plain,
% 3.03/3.28 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[341, 12908])).
% 3.03/3.28 tff(12910,plain,
% 3.03/3.28 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[11471, 56, 124, 4])).
% 3.03/3.28 tff(12911,plain,
% 3.03/3.28 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[10768, 56, 124, 4])).
% 3.03/3.28 tff(12912,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1711, 12911, 12910])).
% 3.03/3.28 tff(12913,plain,((~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(12914,plain,
% 3.03/3.28 (~b(s(s(z)), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12913, 4, 12661])).
% 3.03/3.28 tff(12915,plain,
% 3.03/3.28 (r(s(s(z)), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1392, 12914])).
% 3.03/3.28 tff(12916,plain,
% 3.03/3.28 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[8526, 102, 7981, 4, 12661])).
% 3.03/3.28 tff(12917,plain,
% 3.03/3.28 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[361, 12916])).
% 3.03/3.28 tff(12918,plain,
% 3.03/3.28 (~b(z, s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[9930, 3, 12661, 4, 12917])).
% 3.03/3.28 tff(12919,plain,
% 3.03/3.28 (r(z, s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[122, 12918])).
% 3.03/3.28 tff(12920,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(12921,plain,
% 3.03/3.28 (((~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(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(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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(12922,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[12921])).
% 3.03/3.28 tff(12923,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.03/3.28 inference(transitivity,[status(thm)],[12922, 12920])).
% 3.03/3.28 tff(12924,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(12925,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[12924, 12923])).
% 3.03/3.28 tff(12926,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12925, 102, 7981, 4, 124, 3410, 3594])).
% 3.03/3.28 tff(12927,plain,((~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)))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(12928,plain,
% 3.03/3.28 (~b(s(s(s(s(z)))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12927, 3594, 12661, 4])).
% 3.03/3.28 tff(12929,plain,
% 3.03/3.28 (r(s(s(s(s(z)))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2083, 12928])).
% 3.03/3.28 tff(12930,plain,
% 3.03/3.28 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1720, 12919, 90, 3])).
% 3.03/3.28 tff(12931,plain,
% 3.03/3.28 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[232, 12930])).
% 3.03/3.28 tff(12932,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[7254, 1537, 12915, 2])).
% 3.03/3.28 tff(12933,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2048, 12932])).
% 3.03/3.28 tff(12934,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(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(X0, 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(s(s(z)))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(12935,plain,
% 3.03/3.28 (((~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(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(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(z)))) | (~b(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)))))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(12936,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[12935])).
% 3.03/3.28 tff(12937,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[12936, 12934])).
% 3.03/3.28 tff(12938,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(12939,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), 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(z)))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 3.03/3.28 tff(12940,plain,
% 3.03/3.28 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12939, 102, 7981, 498, 4, 197, 12933])).
% 3.03/3.28 tff(12941,plain,
% 3.03/3.28 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[11679, 12940])).
% 3.03/3.28 tff(12942,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[10451, 1537, 10204, 90])).
% 3.03/3.28 tff(12943,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[1573, 12942])).
% 3.03/3.28 tff(12944,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[11167, 10204, 12909, 12917])).
% 3.03/3.28 tff(12945,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2072, 12944])).
% 3.03/3.28 tff(12946,plain,
% 3.03/3.28 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[11671, 12933, 498, 12945, 12943])).
% 3.03/3.28 tff(12947,plain,
% 3.03/3.28 (r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[8907, 12946])).
% 3.03/3.28 tff(12948,plain,
% 3.03/3.28 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12111, 498, 9915, 12909, 12489])).
% 3.03/3.28 tff(12949,plain,
% 3.03/3.28 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[279, 12948])).
% 3.03/3.28 tff(12950,plain,
% 3.03/3.28 (((~![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(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(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)))))))) <=> ((~![X0: $i, X3: $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(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(12951,plain,
% 3.03/3.28 (((~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(s(s(z)))))))) | (~r(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)))))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(12952,plain,
% 3.03/3.28 (((~![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(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(s(s(z)))))))) | (~r(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))))))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[12951])).
% 3.03/3.28 tff(12953,plain,
% 3.03/3.28 (((~![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(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(s(s(z)))))))) | (~r(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)))))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[12952, 12950])).
% 3.03/3.28 tff(12954,plain,
% 3.03/3.28 ((~![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(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)))))))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(12955,plain,
% 3.03/3.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 3.03/3.28 tff(12956,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12955, 17, 12915, 12949, 12947, 1537, 12941])).
% 3.03/3.28 tff(12957,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(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(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(12958,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12957, 10204, 4, 197, 498, 90, 2])).
% 3.03/3.28 tff(12959,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2083, 12958])).
% 3.03/3.28 tff(12960,plain,
% 3.03/3.28 (((~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(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(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)))))))))),
% 3.03/3.28 inference(rewrite,[status(thm)],[])).
% 3.03/3.28 tff(12961,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))))),
% 3.03/3.28 inference(monotonicity,[status(thm)],[12960])).
% 3.03/3.28 tff(12962,plain,
% 3.03/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.28 inference(transitivity,[status(thm)],[12961, 2074])).
% 3.03/3.28 tff(12963,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(z)))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.28 inference(quant_inst,[status(thm)],[])).
% 3.03/3.28 tff(12964,plain,
% 3.03/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.03/3.28 inference(modus_ponens,[status(thm)],[12963, 12962])).
% 3.03/3.28 tff(12965,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12964, 102, 4, 12661, 12945, 12959])).
% 3.03/3.28 tff(12966,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(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)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(12967,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12966, 498, 12931, 4, 90, 12919])).
% 3.03/3.28 tff(12968,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[6546, 12967])).
% 3.03/3.28 tff(12969,plain,
% 3.03/3.28 (~b(s(s(s(s(z)))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12927, 12968, 12661, 4])).
% 3.03/3.28 tff(12970,plain,
% 3.03/3.28 (r(s(s(s(s(z)))), z)),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2083, 12969])).
% 3.03/3.28 tff(12971,plain,
% 3.03/3.28 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[7254, 12970, 12915, 12919])).
% 3.03/3.28 tff(12972,plain,
% 3.03/3.28 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2048, 12971])).
% 3.03/3.28 tff(12973,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12939, 102, 7981, 498, 4, 197, 1588, 11731])).
% 3.03/3.28 tff(12974,plain,((~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(12975,plain,
% 3.03/3.28 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12974, 498, 4, 12931, 12972])).
% 3.03/3.28 tff(12976,plain,
% 3.03/3.28 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[11679, 12975])).
% 3.03/3.28 tff(12977,plain,
% 3.03/3.28 (~b(z, s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[10014, 5086, 3594])).
% 3.03/3.28 tff(12978,plain,
% 3.03/3.28 (r(z, s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[54, 12977])).
% 3.03/3.28 tff(12979,plain,
% 3.03/3.28 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[7127, 5086, 9918, 1588])).
% 3.03/3.28 tff(12980,plain,
% 3.03/3.28 (r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[8907, 12979])).
% 3.03/3.28 tff(12981,plain,
% 3.03/3.28 ($false),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[10540, 12980, 12978, 3, 90, 2])).
% 3.03/3.28 tff(12982,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.28 tff(12983,plain,
% 3.03/3.28 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[12982, 12972, 90, 12919, 3, 12968])).
% 3.03/3.28 tff(12984,plain,
% 3.03/3.28 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2114, 12983])).
% 3.03/3.28 tff(12985,plain,
% 3.03/3.28 (~r(s(z), s(s(z)))),
% 3.03/3.28 inference(unit_resolution,[status(thm)],[2254, 12919, 90, 9915, 12477])).
% 3.03/3.28 tff(12986,plain,
% 3.03/3.28 (b(s(z), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[698, 12985])).
% 3.03/3.29 tff(12987,plain,
% 3.03/3.29 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[12111, 498, 9915, 12909, 12986])).
% 3.03/3.29 tff(12988,plain,
% 3.03/3.29 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[279, 12987])).
% 3.03/3.29 tff(12989,plain,
% 3.03/3.29 (((~![X0: $i, X3: $i, X2: $i, X1: $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(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)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(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)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(12990,plain,
% 3.03/3.29 (((~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(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(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(12991,plain,
% 3.03/3.29 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(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(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[12990])).
% 3.03/3.29 tff(12992,plain,
% 3.03/3.29 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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(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(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[12991, 12989])).
% 3.03/3.29 tff(12993,plain,
% 3.03/3.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(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)))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(12994,plain,
% 3.03/3.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 3.03/3.29 tff(12995,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[12994, 17, 3, 12988, 12909, 12984, 12976])).
% 3.03/3.29 tff(12996,plain,((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(12997,plain,
% 3.03/3.29 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[12996, 3, 90, 4])).
% 3.03/3.29 tff(12998,plain,
% 3.03/3.29 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[496, 12997])).
% 3.03/3.29 tff(12999,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10810, 4318, 3, 5, 305])).
% 3.03/3.29 tff(13000,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2072, 12999])).
% 3.03/3.29 tff(13001,plain,
% 3.03/3.29 (((~![X0: $i, X3: $i, X2: $i, X1: $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(s(s(s(z))))), 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(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(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(13002,plain,
% 3.03/3.29 (((~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(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(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(13003,plain,
% 3.03/3.29 (((~![X0: $i, X3: $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(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(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[13002])).
% 3.03/3.29 tff(13004,plain,
% 3.03/3.29 (((~![X0: $i, X3: $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(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(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[13003, 13001])).
% 3.03/3.29 tff(13005,plain,
% 3.03/3.29 ((~![X0: $i, X3: $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(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)))))))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(13006,plain,
% 3.03/3.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z))))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[13005, 13004])).
% 3.03/3.29 tff(13007,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13006, 17, 5, 3, 305, 7519, 4318])).
% 3.03/3.29 tff(13008,plain,((~r(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(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(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13009,plain,
% 3.03/3.29 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13008, 4318, 3, 305, 5])).
% 3.03/3.29 tff(13010,plain,
% 3.03/3.29 (b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[8907, 13009])).
% 3.03/3.29 tff(13011,plain,
% 3.03/3.29 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2100, 5, 3, 305])).
% 3.03/3.29 tff(13012,plain,
% 3.03/3.29 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[279, 13011])).
% 3.03/3.29 tff(13013,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)), 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(z)))), s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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)), 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(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(13014,plain,
% 3.03/3.29 (((~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(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)))))), z)) | (~b(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(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(13015,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)), 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(z)))), s(s(s(s(s(s(z))))))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[13014])).
% 3.03/3.29 tff(13016,plain,
% 3.03/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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)), 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(z)))), s(s(s(s(s(s(z)))))))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[13015, 13013])).
% 3.03/3.29 tff(13017,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(13018,plain,
% 3.03/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 3.03/3.29 tff(13019,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13018, 102, 4, 124, 13012, 13010, 13000])).
% 3.03/3.29 tff(13020,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(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(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13021,plain,
% 3.03/3.29 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13020, 3, 12661, 4, 12909, 12998])).
% 3.03/3.29 tff(13022,plain,
% 3.03/3.29 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2114, 13021])).
% 3.03/3.29 tff(13023,plain,
% 3.03/3.29 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[12982, 3594, 90, 12919, 3, 13022])).
% 3.03/3.29 tff(13024,plain,
% 3.03/3.29 (r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2048, 13023])).
% 3.03/3.29 tff(13025,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[7254, 13024, 12929, 12915, 12919])).
% 3.03/3.29 tff(13026,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13027,plain,
% 3.03/3.29 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13026, 3, 90, 4])).
% 3.03/3.29 tff(13028,plain,
% 3.03/3.29 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[6546, 13027])).
% 3.03/3.29 tff(13029,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[11167, 13028, 12909, 12917])).
% 3.03/3.29 tff(13030,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2072, 13029])).
% 3.03/3.29 tff(13031,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[12964, 102, 4, 124, 3366, 3410])).
% 3.03/3.29 tff(13032,plain,((~b(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(z)))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13033,plain,
% 3.03/3.29 (~b(s(s(s(s(z)))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13032, 13030, 12661, 4])).
% 3.03/3.29 tff(13034,plain,
% 3.03/3.29 (r(s(s(s(s(z)))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2083, 13033])).
% 3.03/3.29 tff(13035,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[7254, 13034, 12915, 12919])).
% 3.03/3.29 tff(13036,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2048, 13035])).
% 3.03/3.29 tff(13037,plain,
% 3.03/3.29 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[7127, 13036, 12931, 13022])).
% 3.03/3.29 tff(13038,plain,
% 3.03/3.29 (r(s(s(z)), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[8907, 13037])).
% 3.03/3.29 tff(13039,plain,
% 3.03/3.29 (~r(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10540, 13038, 3, 90, 12919])).
% 3.03/3.29 tff(13040,plain,
% 3.03/3.29 (b(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[54, 13039])).
% 3.03/3.29 tff(13041,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[3610, 102, 4, 12661, 13040, 13030])).
% 3.03/3.29 tff(13042,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13043,plain,
% 3.03/3.29 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13042, 4, 90])).
% 3.03/3.29 tff(13044,plain,
% 3.03/3.29 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1711, 13043])).
% 3.03/3.29 tff(13045,plain,
% 3.03/3.29 (~r(z, s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[12671, 13044, 90])).
% 3.03/3.29 tff(13046,plain,
% 3.03/3.29 (b(z, s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[122, 13045])).
% 3.03/3.29 tff(13047,plain,
% 3.03/3.29 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[11694, 13046, 13044])).
% 3.03/3.29 tff(13048,plain,
% 3.03/3.29 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[232, 13047])).
% 3.03/3.29 tff(13049,plain,
% 3.03/3.29 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2034, 13046, 12661, 4])).
% 3.03/3.29 tff(13050,plain,
% 3.03/3.29 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[279, 13049])).
% 3.03/3.29 tff(13051,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[11581, 13050, 13048, 12909, 90, 12915])).
% 3.03/3.29 tff(13052,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13053,plain,
% 3.03/3.29 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13052, 90])).
% 3.03/3.29 tff(13054,plain,
% 3.03/3.29 (r(s(s(s(s(s(s(z)))))), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[252, 13053])).
% 3.03/3.29 tff(13055,plain,
% 3.03/3.29 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[11694, 57, 66])).
% 3.03/3.29 tff(13056,plain,
% 3.03/3.29 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[232, 13055])).
% 3.03/3.29 tff(13057,plain,
% 3.03/3.29 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[3317, 13056, 12909, 13054, 9098])).
% 3.03/3.29 tff(13058,plain,
% 3.03/3.29 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[279, 13057])).
% 3.03/3.29 tff(13059,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[4055, 102, 66, 364, 57, 124, 254])).
% 3.03/3.29 tff(13060,plain,((~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))))), s(s(z)))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13061,plain,
% 3.03/3.29 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13060, 57, 66, 12661, 13058])).
% 3.03/3.29 tff(13062,plain,
% 3.03/3.29 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[361, 13061])).
% 3.03/3.29 tff(13063,plain,
% 3.03/3.29 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[9459, 13058, 12909, 57, 90, 66])).
% 3.03/3.29 tff(13064,plain,
% 3.03/3.29 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[496, 13063])).
% 3.03/3.29 tff(13065,plain,
% 3.03/3.29 (((~![X0: $i, X3: $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(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(z)))))) <=> ((~![X0: $i, X3: $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(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(z)))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(13066,plain,
% 3.03/3.29 (((~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(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.03/3.29 inference(rewrite,[status(thm)],[])).
% 3.03/3.29 tff(13067,plain,
% 3.03/3.29 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~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(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))))),
% 3.03/3.29 inference(monotonicity,[status(thm)],[13066])).
% 3.03/3.29 tff(13068,plain,
% 3.03/3.29 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~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(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(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.03/3.29 inference(transitivity,[status(thm)],[13067, 13065])).
% 3.03/3.29 tff(13069,plain,
% 3.03/3.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~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)))))),
% 3.03/3.29 inference(quant_inst,[status(thm)],[])).
% 3.03/3.29 tff(13070,plain,
% 3.03/3.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.03/3.29 inference(modus_ponens,[status(thm)],[13069, 13068])).
% 3.03/3.29 tff(13071,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13070, 17, 13064, 13054, 9098, 90, 13062])).
% 3.03/3.29 tff(13072,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13073,plain,
% 3.03/3.29 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13072, 66, 90])).
% 3.03/3.29 tff(13074,plain,
% 3.03/3.29 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1711, 13073])).
% 3.03/3.29 tff(13075,plain,
% 3.03/3.29 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10060, 56, 124, 66])).
% 3.03/3.29 tff(13076,plain,
% 3.03/3.29 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10784, 56, 3, 13075, 244, 124])).
% 3.03/3.29 tff(13077,plain,
% 3.03/3.29 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[279, 13076])).
% 3.03/3.29 tff(13078,plain,
% 3.03/3.29 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[9161, 56, 244, 3, 13075])).
% 3.03/3.29 tff(13079,plain,
% 3.03/3.29 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[361, 13078])).
% 3.03/3.29 tff(13080,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[8609, 13079, 13077, 124, 56])).
% 3.03/3.29 tff(13081,plain,((~b(s(s(z)), 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(z)))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.03/3.29 tff(13082,plain,
% 3.03/3.29 (~b(s(s(z)), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[13081, 13074, 13053, 12661, 66])).
% 3.03/3.29 tff(13083,plain,
% 3.03/3.29 (r(s(s(z)), z)),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1392, 13082])).
% 3.03/3.29 tff(13084,plain,
% 3.03/3.29 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2100, 62, 13074, 12909])).
% 3.03/3.29 tff(13085,plain,
% 3.03/3.29 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[496, 13084])).
% 3.03/3.29 tff(13086,plain,
% 3.03/3.29 (~r(s(s(z)), s(z))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2687, 62, 12477, 13054, 13083])).
% 3.03/3.29 tff(13087,plain,
% 3.03/3.29 (b(s(s(z)), s(z))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[195, 13086])).
% 3.03/3.29 tff(13088,plain,
% 3.03/3.29 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[11286, 62, 13054, 13083, 90])).
% 3.03/3.29 tff(13089,plain,
% 3.03/3.29 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[232, 13088])).
% 3.03/3.29 tff(13090,plain,
% 3.03/3.29 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[11346, 13089, 13085, 66])).
% 3.03/3.29 tff(13091,plain,
% 3.03/3.29 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[361, 13090])).
% 3.03/3.29 tff(13092,plain,
% 3.03/3.29 (~r(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10072, 11266, 63, 62, 65])).
% 3.03/3.29 tff(13093,plain,
% 3.03/3.29 (b(z, s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[54, 13092])).
% 3.03/3.29 tff(13094,plain,
% 3.03/3.29 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10024, 13093, 3410])).
% 3.03/3.29 tff(13095,plain,
% 3.03/3.29 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[2114, 13094])).
% 3.03/3.29 tff(13096,plain,
% 3.03/3.29 (~r(s(s(s(s(z)))), s(z))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10832, 13095, 67, 3, 11266])).
% 3.03/3.29 tff(13097,plain,
% 3.03/3.29 (b(s(s(s(s(z)))), s(z))),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[1573, 13096])).
% 3.03/3.29 tff(13098,plain,
% 3.03/3.29 ($false),
% 3.03/3.29 inference(unit_resolution,[status(thm)],[10128, 102, 498, 168, 124, 13097, 3366, 3410])).
% 3.03/3.29 tff(13099,plain,((~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(z))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(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(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(13100,plain,
% 3.13/3.30 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13099, 3410, 13087, 12661, 13085, 9915, 13074, 13054, 62, 13083, 66])).
% 3.13/3.30 tff(13101,plain,
% 3.13/3.30 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2072, 13100])).
% 3.13/3.30 tff(13102,plain,
% 3.13/3.30 (~b(s(s(s(s(z)))), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[10120, 13101, 62, 66, 13091, 13087, 13054, 13074, 4477])).
% 3.13/3.30 tff(13103,plain,
% 3.13/3.30 (r(s(s(s(s(z)))), s(z))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[1573, 13102])).
% 3.13/3.30 tff(13104,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[11167, 13101, 12909, 13091])).
% 3.13/3.30 tff(13105,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[6546, 13104])).
% 3.13/3.30 tff(13106,plain,
% 3.13/3.30 (~b(z, s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[11631, 13105, 3410])).
% 3.13/3.30 tff(13107,plain,
% 3.13/3.30 (r(z, s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[54, 13106])).
% 3.13/3.30 tff(13108,plain,
% 3.13/3.30 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[9643, 13107, 90, 12477, 13103])).
% 3.13/3.30 tff(13109,plain,
% 3.13/3.30 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2114, 13108])).
% 3.13/3.30 tff(13110,plain,
% 3.13/3.30 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[11113, 13101, 13054, 62, 13083])).
% 3.13/3.30 tff(13111,plain,
% 3.13/3.30 (b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[8907, 13110])).
% 3.13/3.30 tff(13112,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13113,plain,
% 3.13/3.30 (((~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(z)))), z)) | (~b(s(s(s(s(s(z))))), 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(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13114,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[13113])).
% 3.13/3.30 tff(13115,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.13/3.30 inference(transitivity,[status(thm)],[13114, 13112])).
% 3.13/3.30 tff(13116,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(13117,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[13116, 13115])).
% 3.13/3.30 tff(13118,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13117, 102, 7981, 66, 13111, 13109, 3410])).
% 3.13/3.30 tff(13119,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(13120,plain,
% 3.13/3.30 (~b(s(s(s(s(z)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13119, 4477, 90, 62, 66])).
% 3.13/3.30 tff(13121,plain,
% 3.13/3.30 (r(s(s(s(s(z)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2083, 13120])).
% 3.13/3.30 tff(13122,plain,
% 3.13/3.30 (((~![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(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), 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(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13123,plain,
% 3.13/3.30 (((~r(s(s(z)), 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(z)))) | (~r(s(s(s(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(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13124,plain,
% 3.13/3.30 (((~![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(z)), 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(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(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[13123])).
% 3.13/3.30 tff(13125,plain,
% 3.13/3.30 (((~![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(z)), 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(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(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.30 inference(transitivity,[status(thm)],[13124, 13122])).
% 3.13/3.30 tff(13126,plain,
% 3.13/3.30 ((~![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(z)), 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(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(13127,plain,
% 3.13/3.30 ((~![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(z)), z)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[13126, 13125])).
% 3.13/3.30 tff(13128,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13127, 17, 13074, 13083, 13121, 4477])).
% 3.13/3.30 tff(13129,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[6546, 13128])).
% 3.13/3.30 tff(13130,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[10118, 17, 13054, 62, 13121, 4477])).
% 3.13/3.30 tff(13131,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2072, 13130])).
% 3.13/3.30 tff(13132,plain,
% 3.13/3.30 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[10082, 13131, 12661, 66, 13085])).
% 3.13/3.30 tff(13133,plain,
% 3.13/3.30 (r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[8907, 13132])).
% 3.13/3.30 tff(13134,plain,
% 3.13/3.30 (~r(z, s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[10072, 13133, 13054, 62, 13083])).
% 3.13/3.30 tff(13135,plain,
% 3.13/3.30 (b(z, s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[54, 13134])).
% 3.13/3.30 tff(13136,plain,
% 3.13/3.30 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[10014, 13135, 13129])).
% 3.13/3.30 tff(13137,plain,
% 3.13/3.30 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2114, 13136])).
% 3.13/3.30 tff(13138,plain,
% 3.13/3.30 (((~![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))))), s(s(s(s(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(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(s(s(s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13139,plain,
% 3.13/3.30 (((~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(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(s(s(s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13140,plain,
% 3.13/3.30 (((~![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(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(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(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(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[13139])).
% 3.13/3.30 tff(13141,plain,
% 3.13/3.30 (((~![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(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(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(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(z)))))) | (~r(s(s(s(s(z)))), s(s(z)))))),
% 3.13/3.30 inference(transitivity,[status(thm)],[13140, 13138])).
% 3.13/3.30 tff(13142,plain,
% 3.13/3.30 ((~![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(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(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(13143,plain,
% 3.13/3.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[13142, 13141])).
% 3.13/3.30 tff(13144,plain,
% 3.13/3.30 ($false),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13143, 17, 13074, 62, 12909, 13137, 4477])).
% 3.13/3.30 tff(13145,plain,((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.30 tff(13146,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13145, 62, 66, 90])).
% 3.13/3.30 tff(13147,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2048, 13146])).
% 3.13/3.30 tff(13148,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13149,plain,
% 3.13/3.30 (((~b(z, s(s(z)))) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), 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(z, s(s(z)))) | (~b(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)))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13150,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), 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(X0, 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(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))))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[13149])).
% 3.13/3.30 tff(13151,plain,
% 3.13/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), 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(X0, 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(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)))))),
% 3.13/3.30 inference(transitivity,[status(thm)],[13150, 13148])).
% 3.13/3.30 tff(13152,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), 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)))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(13153,plain,
% 3.13/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 3.13/3.30 inference(modus_ponens,[status(thm)],[13152, 13151])).
% 3.13/3.30 tff(13154,plain,
% 3.13/3.30 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13153, 102, 7981, 66, 13089, 13147])).
% 3.13/3.30 tff(13155,plain,
% 3.13/3.30 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[6546, 13154])).
% 3.13/3.30 tff(13156,plain,
% 3.13/3.30 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[11167, 13155, 12909, 13091])).
% 3.13/3.30 tff(13157,plain,
% 3.13/3.30 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2072, 13156])).
% 3.13/3.30 tff(13158,plain,
% 3.13/3.30 (~b(s(s(s(s(z)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[13099, 13157, 13087, 12661, 13085, 9915, 13074, 13054, 62, 13083, 66])).
% 3.13/3.30 tff(13159,plain,
% 3.13/3.30 (r(s(s(s(s(z)))), z)),
% 3.13/3.30 inference(unit_resolution,[status(thm)],[2083, 13158])).
% 3.13/3.30 tff(13160,plain,
% 3.13/3.30 (((~![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(s(z)))))), z)) | (~r(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)))))), 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(s(s(z)))))), s(s(s(s(z)))))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13161,plain,
% 3.13/3.30 (((~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)))))), 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(s(s(z)))))), s(s(s(s(z)))))))),
% 3.13/3.30 inference(rewrite,[status(thm)],[])).
% 3.13/3.30 tff(13162,plain,
% 3.13/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))), 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(s(s(z)))))), s(s(s(s(z))))))))),
% 3.13/3.30 inference(monotonicity,[status(thm)],[13161])).
% 3.13/3.30 tff(13163,plain,
% 3.13/3.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))), 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(s(s(z)))))), s(s(s(s(z)))))))),
% 3.13/3.30 inference(transitivity,[status(thm)],[13162, 13160])).
% 3.13/3.30 tff(13164,plain,
% 3.13/3.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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)))))))),
% 3.13/3.30 inference(quant_inst,[status(thm)],[])).
% 3.13/3.30 tff(13165,plain,
% 3.13/3.30 ((~![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(s(z)))))), z)) | (~r(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))))))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[13164, 13163])).
% 3.13/3.31 tff(13166,plain,
% 3.13/3.31 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13165, 17, 13054, 90, 13091, 13159])).
% 3.13/3.31 tff(13167,plain,
% 3.13/3.31 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[11679, 13166])).
% 3.13/3.31 tff(13168,plain,
% 3.13/3.31 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[10082, 13157, 12661, 66, 13085])).
% 3.13/3.31 tff(13169,plain,
% 3.13/3.31 (r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[8907, 13168])).
% 3.13/3.31 tff(13170,plain,
% 3.13/3.31 (~r(z, s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[10072, 13169, 13054, 62, 13083])).
% 3.13/3.31 tff(13171,plain,
% 3.13/3.31 (b(z, s(s(s(s(z)))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[54, 13170])).
% 3.13/3.31 tff(13172,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(13173,plain,
% 3.13/3.31 (((~b(s(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(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(z, s(s(z)))) | (~b(s(s(s(s(s(s(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)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(13174,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[13173])).
% 3.13/3.31 tff(13175,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 3.13/3.31 inference(transitivity,[status(thm)],[13174, 13172])).
% 3.13/3.31 tff(13176,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(13177,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[13176, 13175])).
% 3.13/3.31 tff(13178,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13177, 102, 66, 13085, 12661, 13171, 13157, 13167])).
% 3.13/3.31 tff(13179,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(13180,plain,
% 3.13/3.31 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13179, 66, 90])).
% 3.13/3.31 tff(13181,plain,
% 3.13/3.31 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[279, 13180])).
% 3.13/3.31 tff(13182,plain,
% 3.13/3.31 (~b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1983, 13181, 12661, 66])).
% 3.13/3.31 tff(13183,plain,
% 3.13/3.31 (r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[496, 13182])).
% 3.13/3.31 tff(13184,plain,
% 3.13/3.31 (~r(s(s(z)), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[12629, 13183, 9915, 13074, 12909])).
% 3.13/3.31 tff(13185,plain,
% 3.13/3.31 (b(s(s(z)), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[195, 13184])).
% 3.13/3.31 tff(13186,plain,
% 3.13/3.31 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[7695, 13183, 12477, 13054, 13083])).
% 3.13/3.31 tff(13187,plain,
% 3.13/3.31 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[409, 13186])).
% 3.13/3.31 tff(13188,plain,
% 3.13/3.31 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2185, 13183, 9915, 13074, 12909])).
% 3.13/3.31 tff(13189,plain,
% 3.13/3.31 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[165, 13188])).
% 3.13/3.31 tff(13190,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[3543, 13189, 13187, 13181, 13185])).
% 3.13/3.31 tff(13191,plain,((~b(z, s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(13192,plain,
% 3.13/3.31 (~b(z, s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13191, 90])).
% 3.13/3.31 tff(13193,plain,
% 3.13/3.31 (r(z, s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[122, 13192])).
% 3.13/3.31 tff(13194,plain,
% 3.13/3.31 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[12671, 13193, 90])).
% 3.13/3.31 tff(13195,plain,
% 3.13/3.31 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1711, 13194])).
% 3.13/3.31 tff(13196,plain,
% 3.13/3.31 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2100, 5, 13195, 12909])).
% 3.13/3.31 tff(13197,plain,
% 3.13/3.31 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[279, 13196])).
% 3.13/3.31 tff(13198,plain,
% 3.13/3.31 (~r(s(s(z)), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2482, 5, 13054, 13193])).
% 3.13/3.31 tff(13199,plain,
% 3.13/3.31 (b(s(s(z)), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1392, 13198])).
% 3.13/3.31 tff(13200,plain,
% 3.13/3.31 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[7993, 5, 90, 13054, 13195])).
% 3.13/3.31 tff(13201,plain,
% 3.13/3.31 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[361, 13200])).
% 3.13/3.31 tff(13202,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[8609, 13201, 13199, 12661, 13197])).
% 3.13/3.31 tff(13203,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(13204,plain,
% 3.13/3.31 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13203, 90])).
% 3.13/3.31 tff(13205,plain,
% 3.13/3.31 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[496, 13204])).
% 3.13/3.31 tff(13206,plain,
% 3.13/3.31 (~r(s(z), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2254, 13193, 90, 9915, 12477])).
% 3.13/3.31 tff(13207,plain,
% 3.13/3.31 (b(s(z), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[698, 13206])).
% 3.13/3.31 tff(13208,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(13209,plain,
% 3.13/3.31 (((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), 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(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(13210,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[13209])).
% 3.13/3.31 tff(13211,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.31 inference(transitivity,[status(thm)],[13210, 13208])).
% 3.13/3.31 tff(13212,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), 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))))))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(13213,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 3.13/3.31 tff(13214,plain,
% 3.13/3.31 (~b(s(z), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13213, 102, 13207, 7981, 13205, 12661, 12479])).
% 3.13/3.31 tff(13215,plain,
% 3.13/3.31 (r(s(z), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[380, 13214])).
% 3.13/3.31 tff(13216,plain,
% 3.13/3.31 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1930, 13215, 12477, 13054])).
% 3.13/3.31 tff(13217,plain,
% 3.13/3.31 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[409, 13216])).
% 3.13/3.31 tff(13218,plain,
% 3.13/3.31 (~b(s(s(z)), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[12727, 13217, 13207, 13205])).
% 3.13/3.31 tff(13219,plain,
% 3.13/3.31 (r(s(s(z)), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[195, 13218])).
% 3.13/3.31 tff(13220,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2960, 17, 13219, 13195, 12477, 13193, 90])).
% 3.13/3.31 tff(13221,plain,(~r(z, s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(13222,plain,
% 3.13/3.31 (b(z, s(s(s(s(s(z))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[557, 13221])).
% 3.13/3.31 tff(13223,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(13224,plain,
% 3.13/3.31 (((~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(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(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(13225,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[13224])).
% 3.13/3.31 tff(13226,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.13/3.31 inference(transitivity,[status(thm)],[13225, 13223])).
% 3.13/3.31 tff(13227,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(13228,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[13227, 13226])).
% 3.13/3.31 tff(13229,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13228, 102, 13222, 7981, 56, 57])).
% 3.13/3.31 tff(13230,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.31 tff(13231,plain,
% 3.13/3.31 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13230, 56])).
% 3.13/3.31 tff(13232,plain,
% 3.13/3.31 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1711, 13231])).
% 3.13/3.31 tff(13233,plain,
% 3.13/3.31 (((~b(s(s(s(s(s(z))))), z)) | (~b(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(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)))),
% 3.13/3.31 inference(rewrite,[status(thm)],[])).
% 3.13/3.31 tff(13234,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 3.13/3.31 inference(monotonicity,[status(thm)],[13233])).
% 3.13/3.31 tff(13235,plain,
% 3.13/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.13/3.31 inference(transitivity,[status(thm)],[13234, 9146])).
% 3.13/3.31 tff(13236,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.13/3.31 inference(quant_inst,[status(thm)],[])).
% 3.13/3.31 tff(13237,plain,
% 3.13/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 3.13/3.31 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 3.13/3.31 tff(13238,plain,
% 3.13/3.31 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13237, 102, 13222, 7981, 56])).
% 3.13/3.31 tff(13239,plain,
% 3.13/3.31 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[232, 13238])).
% 3.13/3.31 tff(13240,plain,
% 3.13/3.31 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1910, 13239, 13232, 5])).
% 3.13/3.31 tff(13241,plain,
% 3.13/3.31 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[361, 13240])).
% 3.13/3.31 tff(13242,plain,
% 3.13/3.31 ((~b(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)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[4767, 7981])).
% 3.13/3.31 tff(13243,plain,
% 3.13/3.31 ((~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13242, 13222])).
% 3.13/3.31 tff(13244,plain,
% 3.13/3.31 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13243, 13241])).
% 3.13/3.31 tff(13245,plain,
% 3.13/3.31 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[252, 13244])).
% 3.13/3.31 tff(13246,plain,
% 3.13/3.31 ((~b(s(s(z)), 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)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[7692, 13222])).
% 3.13/3.31 tff(13247,plain,
% 3.13/3.31 (~b(s(z), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13246, 343, 56, 13241, 5])).
% 3.13/3.31 tff(13248,plain,
% 3.13/3.31 (r(s(z), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[380, 13247])).
% 3.13/3.31 tff(13249,plain,
% 3.13/3.31 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[1796, 13248, 1, 13245])).
% 3.13/3.31 tff(13250,plain,
% 3.13/3.31 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[9241, 13248, 343, 60, 13245, 2, 56])).
% 3.13/3.31 tff(13251,plain,
% 3.13/3.31 ($false),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[165, 13250, 13249])).
% 3.13/3.31 tff(13252,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~b(s(s(z)), 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,[]))).
% 3.13/3.31 tff(13253,plain,
% 3.13/3.31 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13252, 60, 2, 56, 1, 5])).
% 3.13/3.31 tff(13254,plain,
% 3.13/3.31 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[303, 13253])).
% 3.13/3.31 tff(13255,plain,
% 3.13/3.31 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[13243, 364])).
% 3.13/3.31 tff(13256,plain,
% 3.13/3.31 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[252, 13255])).
% 3.13/3.31 tff(13257,plain,
% 3.13/3.31 (~r(z, s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[2466, 234, 1, 2, 5])).
% 3.13/3.31 tff(13258,plain,
% 3.13/3.31 (b(z, s(z))),
% 3.13/3.31 inference(unit_resolution,[status(thm)],[88, 13257])).
% 3.13/3.32 tff(13259,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3785, 234, 235, 67])).
% 3.13/3.32 tff(13260,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13259])).
% 3.13/3.32 tff(13261,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[12323, 13260, 13258, 1, 13256, 364, 60])).
% 3.13/3.32 tff(13262,plain,((~r(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13263,plain,
% 3.13/3.32 (~r(s(s(z)), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13262, 60, 13241, 1, 13239, 13254, 2, 5])).
% 3.13/3.32 tff(13264,plain,
% 3.13/3.32 (b(s(s(z)), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[195, 13263])).
% 3.13/3.32 tff(13265,plain,
% 3.13/3.32 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[401, 59, 63, 2, 5])).
% 3.13/3.32 tff(13266,plain,
% 3.13/3.32 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[409, 13265])).
% 3.13/3.32 tff(13267,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1796, 59, 1, 63])).
% 3.13/3.32 tff(13268,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[165, 13267])).
% 3.13/3.32 tff(13269,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3543, 13268, 13266, 7401, 168])).
% 3.13/3.32 tff(13270,plain,((~r(s(z), z)) | (~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(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)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13271,plain,
% 3.13/3.32 (~r(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13270, 168, 1, 13245, 2, 5])).
% 3.13/3.32 tff(13272,plain,
% 3.13/3.32 (b(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[380, 13271])).
% 3.13/3.32 tff(13273,plain,
% 3.13/3.32 (~r(s(s(s(s(z)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10883, 6, 1, 13245])).
% 3.13/3.32 tff(13274,plain,
% 3.13/3.32 (b(s(s(s(s(z)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2083, 13273])).
% 3.13/3.32 tff(13275,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3419, 55, 13274, 56, 13272, 168])).
% 3.13/3.32 tff(13276,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13277,plain,
% 3.13/3.32 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13276, 13264, 56, 1, 5, 2])).
% 3.13/3.32 tff(13278,plain,
% 3.13/3.32 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2072, 13277])).
% 3.13/3.32 tff(13279,plain,
% 3.13/3.32 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3602, 13278, 13241, 60])).
% 3.13/3.32 tff(13280,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[6546, 13279])).
% 3.13/3.32 tff(13281,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10624, 13278, 13241, 60])).
% 3.13/3.32 tff(13282,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2114, 13281])).
% 3.13/3.32 tff(13283,plain,
% 3.13/3.32 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10822, 13278, 56, 7401, 13241])).
% 3.13/3.32 tff(13284,plain,
% 3.13/3.32 (r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[8907, 13283])).
% 3.13/3.32 tff(13285,plain,
% 3.13/3.32 (((~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(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(s(s(s(z))))))))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(13286,plain,
% 3.13/3.32 (((~![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(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(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(s(s(s(z)))))))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[13285])).
% 3.13/3.32 tff(13287,plain,
% 3.13/3.32 (((~![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(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(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(s(s(s(z))))))))),
% 3.13/3.32 inference(transitivity,[status(thm)],[13286, 11199])).
% 3.13/3.32 tff(13288,plain,
% 3.13/3.32 ((~![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(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)))))))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(13289,plain,
% 3.13/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 3.13/3.32 tff(13290,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13289, 17, 13239, 13284, 13282, 13280])).
% 3.13/3.32 tff(13291,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13292,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13291, 56, 1, 5, 2])).
% 3.13/3.32 tff(13293,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[341, 13292])).
% 3.13/3.32 tff(13294,plain,
% 3.13/3.32 (~r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[12629, 234, 5, 13232, 13293])).
% 3.13/3.32 tff(13295,plain,
% 3.13/3.32 (b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[303, 13294])).
% 3.13/3.32 tff(13296,plain,
% 3.13/3.32 (~b(s(z), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[8016, 13258, 13295, 56])).
% 3.13/3.32 tff(13297,plain,
% 3.13/3.32 (r(s(z), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[698, 13296])).
% 3.13/3.32 tff(13298,plain,
% 3.13/3.32 ((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[5861, 13222])).
% 3.13/3.32 tff(13299,plain,
% 3.13/3.32 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13298, 13295, 13258])).
% 3.13/3.32 tff(13300,plain,
% 3.13/3.32 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13299])).
% 3.13/3.32 tff(13301,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3938, 13300, 13297, 13232, 13239])).
% 3.13/3.32 tff(13302,plain,((~r(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13303,plain,
% 3.13/3.32 (~r(s(s(z)), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13302, 56, 5, 1, 2])).
% 3.13/3.32 tff(13304,plain,
% 3.13/3.32 (b(s(s(z)), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[195, 13303])).
% 3.13/3.32 tff(13305,plain,
% 3.13/3.32 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13276, 13304, 56, 1, 5, 2])).
% 3.13/3.32 tff(13306,plain,
% 3.13/3.32 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2072, 13305])).
% 3.13/3.32 tff(13307,plain,
% 3.13/3.32 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10822, 13306, 56, 7401, 13241])).
% 3.13/3.32 tff(13308,plain,
% 3.13/3.32 (r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[8907, 13307])).
% 3.13/3.32 tff(13309,plain,
% 3.13/3.32 (~r(z, s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[12236, 13308, 1, 5, 2])).
% 3.13/3.32 tff(13310,plain,
% 3.13/3.32 (b(z, s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[54, 13309])).
% 3.13/3.32 tff(13311,plain,
% 3.13/3.32 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13008, 13308, 13232, 13293, 5])).
% 3.13/3.32 tff(13312,plain,
% 3.13/3.32 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2114, 13311])).
% 3.13/3.32 tff(13313,plain,
% 3.13/3.32 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10014, 13312, 13310])).
% 3.13/3.32 tff(13314,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[6546, 13313])).
% 3.13/3.32 tff(13315,plain,
% 3.13/3.32 (~r(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13270, 13304, 1, 13245, 2, 5])).
% 3.13/3.32 tff(13316,plain,
% 3.13/3.32 (b(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[380, 13315])).
% 3.13/3.32 tff(13317,plain,
% 3.13/3.32 (~b(s(s(s(s(z)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3419, 13310, 56, 13316, 13304])).
% 3.13/3.32 tff(13318,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2083, 13317])).
% 3.13/3.32 tff(13319,plain,
% 3.13/3.32 (((~![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(z)))) | (~r(s(s(s(s(z)))), 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(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(13320,plain,
% 3.13/3.32 (((~r(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(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(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(13321,plain,
% 3.13/3.32 (((~![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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~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)), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[13320])).
% 3.13/3.32 tff(13322,plain,
% 3.13/3.32 (((~![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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~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)), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.32 inference(transitivity,[status(thm)],[13321, 13319])).
% 3.13/3.32 tff(13323,plain,
% 3.13/3.32 ((~![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(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), z)))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(13324,plain,
% 3.13/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 3.13/3.32 tff(13325,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13324, 17, 235, 2, 1537, 4477, 10204])).
% 3.13/3.32 tff(13326,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13327,plain,
% 3.13/3.32 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13326, 13318, 2, 13239, 13314])).
% 3.13/3.32 tff(13328,plain,
% 3.13/3.32 (b(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2048, 13327])).
% 3.13/3.32 tff(13329,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(13330,plain,
% 3.13/3.32 (((~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), 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(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.13/3.32 inference(rewrite,[status(thm)],[])).
% 3.13/3.32 tff(13331,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.13/3.32 inference(monotonicity,[status(thm)],[13330])).
% 3.13/3.32 tff(13332,plain,
% 3.13/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.13/3.32 inference(transitivity,[status(thm)],[13331, 13329])).
% 3.13/3.32 tff(13333,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 3.13/3.32 inference(quant_inst,[status(thm)],[])).
% 3.13/3.32 tff(13334,plain,
% 3.13/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.13/3.32 inference(modus_ponens,[status(thm)],[13333, 13332])).
% 3.13/3.32 tff(13335,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13334, 102, 7981, 56, 13312, 13310, 13328])).
% 3.13/3.32 tff(13336,plain,((~b(s(s(z)), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13337,plain,
% 3.13/3.32 (~b(s(s(z)), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13336, 2, 5, 1])).
% 3.13/3.32 tff(13338,plain,
% 3.13/3.32 (r(s(s(z)), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1392, 13337])).
% 3.13/3.32 tff(13339,plain,
% 3.13/3.32 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2482, 13338, 5, 2])).
% 3.13/3.32 tff(13340,plain,
% 3.13/3.32 (b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[252, 13339])).
% 3.13/3.32 tff(13341,plain,
% 3.13/3.32 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13243, 13340])).
% 3.13/3.32 tff(13342,plain,
% 3.13/3.32 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[361, 13341])).
% 3.13/3.32 tff(13343,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[4777, 102, 13222, 7981, 13340])).
% 3.13/3.32 tff(13344,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[341, 13343])).
% 3.13/3.32 tff(13345,plain,
% 3.13/3.32 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[11167, 6, 13344, 13342])).
% 3.13/3.32 tff(13346,plain,
% 3.13/3.32 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[6546, 13345])).
% 3.13/3.32 tff(13347,plain,
% 3.13/3.32 (~r(s(z), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[12278, 13258, 13340, 13338, 1, 234, 5])).
% 3.13/3.32 tff(13348,plain,
% 3.13/3.32 (b(s(z), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[698, 13347])).
% 3.13/3.32 tff(13349,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[4777, 102, 13222, 7981, 4])).
% 3.13/3.32 tff(13350,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[341, 13349])).
% 3.13/3.32 tff(13351,plain,
% 3.13/3.32 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13243, 4])).
% 3.13/3.32 tff(13352,plain,
% 3.13/3.32 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[361, 13351])).
% 3.13/3.32 tff(13353,plain,
% 3.13/3.32 ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[9077, 102, 92, 7981, 4, 254])).
% 3.13/3.32 tff(13354,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13353, 57])).
% 3.13/3.32 tff(13355,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[303, 13354])).
% 3.13/3.32 tff(13356,plain,
% 3.13/3.32 (~r(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1433, 235, 65, 234, 67])).
% 3.13/3.32 tff(13357,plain,
% 3.13/3.32 (b(s(z), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[380, 13356])).
% 3.13/3.32 tff(13358,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[7377, 235, 64, 254, 67, 305])).
% 3.13/3.32 tff(13359,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13358])).
% 3.13/3.32 tff(13360,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10986, 13359, 13357, 382])).
% 3.13/3.32 tff(13361,plain,((~r(s(s(z)), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13362,plain,
% 3.13/3.32 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13361, 13355, 13352, 254, 382, 13350, 65, 234])).
% 3.13/3.32 tff(13363,plain,
% 3.13/3.32 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[232, 13362])).
% 3.13/3.32 tff(13364,plain,
% 3.13/3.32 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[205, 13363, 92, 57])).
% 3.13/3.32 tff(13365,plain,
% 3.13/3.32 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13364])).
% 3.13/3.32 tff(13366,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3487, 13365, 13352, 13350])).
% 3.13/3.32 tff(13367,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[165, 13366])).
% 3.13/3.32 tff(13368,plain,
% 3.13/3.32 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[4153, 13365, 13352, 13355])).
% 3.13/3.32 tff(13369,plain,
% 3.13/3.32 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[409, 13368])).
% 3.13/3.32 tff(13370,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1695, 13369, 13367, 4, 382])).
% 3.13/3.32 tff(13371,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13372,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13371, 13258, 13340, 13348, 7401, 13338, 234])).
% 3.13/3.32 tff(13373,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1711, 13372])).
% 3.13/3.32 tff(13374,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[8529, 13373, 5, 13338])).
% 3.13/3.32 tff(13375,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13374])).
% 3.13/3.32 tff(13376,plain,
% 3.13/3.32 (~r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[12629, 13373, 5, 234, 13344])).
% 3.13/3.32 tff(13377,plain,
% 3.13/3.32 (b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[303, 13376])).
% 3.13/3.32 tff(13378,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13298, 13377, 13375, 13258])).
% 3.13/3.32 tff(13379,plain,((~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13380,plain,
% 3.13/3.32 (~r(s(s(z)), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13379, 2, 1, 5])).
% 3.13/3.32 tff(13381,plain,
% 3.13/3.32 (b(s(s(z)), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[195, 13380])).
% 3.13/3.32 tff(13382,plain,
% 3.13/3.32 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1228, 57, 168, 343])).
% 3.13/3.32 tff(13383,plain,
% 3.13/3.32 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13382])).
% 3.13/3.32 tff(13384,plain,
% 3.13/3.32 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[8976, 57, 168, 4, 343])).
% 3.13/3.32 tff(13385,plain,
% 3.13/3.32 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[165, 13384])).
% 3.13/3.32 tff(13386,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3487, 13385, 13383, 13352, 13350])).
% 3.13/3.32 tff(13387,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13388,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13387, 343, 4, 168])).
% 3.13/3.32 tff(13389,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1711, 13388])).
% 3.13/3.32 tff(13390,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[8529, 13389, 5, 65])).
% 3.13/3.32 tff(13391,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13390])).
% 3.13/3.32 tff(13392,plain,
% 3.13/3.32 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1910, 13389, 13352, 5])).
% 3.13/3.32 tff(13393,plain,
% 3.13/3.32 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[232, 13392])).
% 3.13/3.32 tff(13394,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1748, 13393, 13391, 168, 343])).
% 3.13/3.32 tff(13395,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13396,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13395, 13381, 5, 13338, 13340])).
% 3.13/3.32 tff(13397,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[303, 13396])).
% 3.13/3.32 tff(13398,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3543, 4626, 7375, 254, 168])).
% 3.13/3.32 tff(13399,plain,((~r(s(z), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(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(z))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13400,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13399, 7401, 13381, 13342, 13397, 13344])).
% 3.13/3.32 tff(13401,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3202, 13400])).
% 3.13/3.32 tff(13402,plain,
% 3.13/3.32 (~b(z, s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[11542, 57, 13381, 13401, 13338])).
% 3.13/3.32 tff(13403,plain,
% 3.13/3.32 (r(z, s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[88, 13402])).
% 3.13/3.32 tff(13404,plain,
% 3.13/3.32 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[6874, 13403, 1, 2, 5])).
% 3.13/3.32 tff(13405,plain,
% 3.13/3.32 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[165, 13404])).
% 3.13/3.32 tff(13406,plain,
% 3.13/3.32 (~b(s(z), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[176, 57, 13381, 13401])).
% 3.13/3.32 tff(13407,plain,
% 3.13/3.32 (r(s(z), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[698, 13406])).
% 3.13/3.32 tff(13408,plain,
% 3.13/3.32 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1162, 13407, 13342, 5, 13397])).
% 3.13/3.32 tff(13409,plain,
% 3.13/3.32 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[409, 13408])).
% 3.13/3.32 tff(13410,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[3543, 13409, 13405, 7401, 13381])).
% 3.13/3.32 tff(13411,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13412,plain,
% 3.13/3.32 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13411, 2, 1, 5])).
% 3.13/3.32 tff(13413,plain,
% 3.13/3.32 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1711, 13412])).
% 3.13/3.32 tff(13414,plain,
% 3.13/3.32 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10810, 6, 13413, 5, 13344])).
% 3.13/3.32 tff(13415,plain,
% 3.13/3.32 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2114, 13414])).
% 3.13/3.32 tff(13416,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10014, 13415, 13346, 55])).
% 3.13/3.32 tff(13417,plain,((~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(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13418,plain,
% 3.13/3.32 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13417, 2, 1, 5])).
% 3.13/3.32 tff(13419,plain,
% 3.13/3.32 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2072, 13418])).
% 3.13/3.32 tff(13420,plain,
% 3.13/3.32 (~r(z, s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[12236, 7519, 1, 5, 2])).
% 3.13/3.32 tff(13421,plain,
% 3.13/3.32 (b(z, s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[54, 13420])).
% 3.13/3.32 tff(13422,plain,
% 3.13/3.32 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[1910, 13413, 13342, 5])).
% 3.13/3.32 tff(13423,plain,
% 3.13/3.32 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[232, 13422])).
% 3.13/3.32 tff(13424,plain,
% 3.13/3.32 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13008, 7519, 13413, 13344, 5])).
% 3.13/3.32 tff(13425,plain,
% 3.13/3.32 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2114, 13424])).
% 3.13/3.32 tff(13426,plain,
% 3.13/3.32 ((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z))))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[6555, 13222])).
% 3.13/3.32 tff(13427,plain,
% 3.13/3.32 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13426, 13425, 13423, 13421])).
% 3.13/3.32 tff(13428,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2048, 13427])).
% 3.13/3.32 tff(13429,plain,
% 3.13/3.32 (~b(s(s(s(s(z)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[10024, 13425, 13421])).
% 3.13/3.32 tff(13430,plain,
% 3.13/3.32 (r(s(s(s(s(z)))), z)),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[2083, 13429])).
% 3.13/3.32 tff(13431,plain,
% 3.13/3.32 ($false),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[7254, 13430, 13428, 2, 13338])).
% 3.13/3.32 tff(13432,plain,((~r(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(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.32 tff(13433,plain,
% 3.13/3.32 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.32 inference(unit_resolution,[status(thm)],[13432, 2, 5, 1])).
% 3.13/3.32 tff(13434,plain,
% 3.13/3.33 (b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[8907, 13433])).
% 3.13/3.33 tff(13435,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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)))))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13436,plain,
% 3.13/3.33 (((~b(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)))))), 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(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)))))), 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)))))))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13437,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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))))))))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[13436])).
% 3.13/3.33 tff(13438,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), 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)))))))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[13437, 13435])).
% 3.13/3.33 tff(13439,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)), s(s(s(s(z)))))))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(13440,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[13439, 13438])).
% 3.13/3.33 tff(13441,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13440, 102, 13222, 13340, 7401, 13423, 13434, 13419])).
% 3.13/3.33 tff(13442,plain,((~r(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(13443,plain,
% 3.13/3.33 (~r(z, s(s(z)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13442, 5, 1])).
% 3.13/3.33 tff(13444,plain,
% 3.13/3.33 (b(z, s(s(z)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[122, 13443])).
% 3.13/3.33 tff(13445,plain,
% 3.13/3.33 ((~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[6800, 7981])).
% 3.13/3.33 tff(13446,plain,
% 3.13/3.33 ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13445, 13222])).
% 3.13/3.33 tff(13447,plain,
% 3.13/3.33 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13446, 4, 66])).
% 3.13/3.33 tff(13448,plain,
% 3.13/3.33 ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[5700, 7981])).
% 3.13/3.33 tff(13449,plain,
% 3.13/3.33 ((~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13448, 13222])).
% 3.13/3.33 tff(13450,plain,
% 3.13/3.33 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13449, 4, 5, 66])).
% 3.13/3.33 tff(13451,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[279, 13450, 13447])).
% 3.13/3.33 tff(13452,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(13453,plain,
% 3.13/3.33 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13452, 5, 13444])).
% 3.13/3.33 tff(13454,plain,
% 3.13/3.33 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[252, 13453])).
% 3.13/3.33 tff(13455,plain,
% 3.13/3.33 ((~b(z, s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[4838, 7981])).
% 3.13/3.33 tff(13456,plain,
% 3.13/3.33 ((~b(z, s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13455, 13222])).
% 3.13/3.33 tff(13457,plain,
% 3.13/3.33 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13456, 13444])).
% 3.13/3.33 tff(13458,plain,
% 3.13/3.33 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[232, 13457])).
% 3.13/3.33 tff(13459,plain,
% 3.13/3.33 (~b(s(z), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2736, 168, 66, 56])).
% 3.13/3.33 tff(13460,plain,
% 3.13/3.33 (r(s(z), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[380, 13459])).
% 3.13/3.33 tff(13461,plain,
% 3.13/3.33 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1796, 13460, 1, 13256])).
% 3.13/3.33 tff(13462,plain,
% 3.13/3.33 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[165, 13461])).
% 3.13/3.33 tff(13463,plain,
% 3.13/3.33 ((~b(s(s(z)), s(z))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[6380, 13222])).
% 3.13/3.33 tff(13464,plain,
% 3.13/3.33 (~b(z, s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13463, 13462, 364, 168, 66])).
% 3.13/3.33 tff(13465,plain,
% 3.13/3.33 (r(z, s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[88, 13464])).
% 3.13/3.33 tff(13466,plain,
% 3.13/3.33 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1930, 13465, 13256, 13460])).
% 3.13/3.33 tff(13467,plain,
% 3.13/3.33 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[409, 13466])).
% 3.13/3.33 tff(13468,plain,
% 3.13/3.33 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3737, 13467, 13462, 60])).
% 3.13/3.33 tff(13469,plain,
% 3.13/3.33 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[303, 13468])).
% 3.13/3.33 tff(13470,plain,
% 3.13/3.33 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13456, 66])).
% 3.13/3.33 tff(13471,plain,
% 3.13/3.33 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[232, 13470])).
% 3.13/3.33 tff(13472,plain,
% 3.13/3.33 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1190, 13462, 60, 364])).
% 3.13/3.33 tff(13473,plain,
% 3.13/3.33 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3202, 13472])).
% 3.13/3.33 tff(13474,plain,
% 3.13/3.33 (~r(s(z), s(s(z)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3938, 13473, 13232, 13471])).
% 3.13/3.33 tff(13475,plain,
% 3.13/3.33 (b(s(z), s(s(z)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[698, 13474])).
% 3.13/3.33 tff(13476,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[10883, 6, 1, 13256])).
% 3.13/3.33 tff(13477,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), z)),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2083, 13476])).
% 3.13/3.33 tff(13478,plain,
% 3.13/3.33 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1601, 13476, 66, 56])).
% 3.13/3.33 tff(13479,plain,
% 3.13/3.33 (r(s(s(s(s(z)))), s(s(z)))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2048, 13478])).
% 3.13/3.33 tff(13480,plain,
% 3.13/3.33 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[10871, 13477, 66, 56])).
% 3.13/3.33 tff(13481,plain,
% 3.13/3.33 (r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[8907, 13480])).
% 3.13/3.33 tff(13482,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[11781, 2926, 235, 4477, 67])).
% 3.13/3.33 tff(13483,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[6546, 13482])).
% 3.13/3.33 tff(13484,plain,
% 3.13/3.33 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[10832, 2926, 67, 3, 7519])).
% 3.13/3.33 tff(13485,plain,
% 3.13/3.33 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2114, 13484])).
% 3.13/3.33 tff(13486,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[11602, 13485, 13483, 1, 364])).
% 3.13/3.33 tff(13487,plain,((~r(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))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), 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(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(13488,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13487, 13481, 364, 67, 13232, 1, 13471, 13479])).
% 3.13/3.33 tff(13489,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1573, 13488])).
% 3.13/3.33 tff(13490,plain,
% 3.13/3.33 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[10875, 13489, 66, 168, 13477])).
% 3.13/3.33 tff(13491,plain,
% 3.13/3.33 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[6546, 13490])).
% 3.13/3.33 tff(13492,plain,
% 3.13/3.33 (~b(z, s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[10384, 13491, 66, 56, 13232, 168])).
% 3.13/3.33 tff(13493,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13494,plain,
% 3.13/3.33 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))) <=> ((~b(s(s(z)), s(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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13495,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[13494])).
% 3.13/3.33 tff(13496,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[13495, 13493])).
% 3.13/3.33 tff(13497,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(13498,plain,
% 3.13/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[13497, 13496])).
% 3.13/3.33 tff(13499,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13498, 102, 92, 425, 168, 2300, 11731])).
% 3.13/3.33 tff(13500,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(13501,plain,
% 3.13/3.33 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13500, 13489, 13467, 168, 92])).
% 3.13/3.33 tff(13502,plain,
% 3.13/3.33 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[11679, 13501])).
% 3.13/3.33 tff(13503,plain,
% 3.13/3.33 (~r(z, s(s(s(s(z)))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[8949, 13502, 1, 6])).
% 3.13/3.33 tff(13504,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[54, 13503, 13492])).
% 3.13/3.33 tff(13505,plain,((~r(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(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(13506,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13505, 168, 66, 56, 1, 13475, 364, 13469])).
% 3.13/3.33 tff(13507,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[2072, 13506])).
% 3.13/3.33 tff(13508,plain,
% 3.13/3.33 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[3602, 13507, 60, 364])).
% 3.13/3.33 tff(13509,plain,
% 3.13/3.33 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[6546, 13508])).
% 3.13/3.33 tff(13510,plain,
% 3.13/3.33 (((~![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(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))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13511,plain,
% 3.13/3.33 (((~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))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13512,plain,
% 3.13/3.33 (((~![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(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)))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[13511])).
% 3.13/3.33 tff(13513,plain,
% 3.13/3.33 (((~![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(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))))),
% 3.13/3.33 inference(transitivity,[status(thm)],[13512, 13510])).
% 3.13/3.33 tff(13514,plain,
% 3.13/3.33 ((~![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(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))))),
% 3.13/3.33 inference(quant_inst,[status(thm)],[])).
% 3.13/3.33 tff(13515,plain,
% 3.13/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.13/3.33 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 3.13/3.33 tff(13516,plain,
% 3.13/3.33 ($false),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13515, 17, 67, 2926, 61, 10204])).
% 3.13/3.33 tff(13517,plain,((~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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.33 tff(13518,plain,
% 3.13/3.33 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[13517, 13469, 13473, 13509])).
% 3.13/3.33 tff(13519,plain,
% 3.13/3.33 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.33 inference(unit_resolution,[status(thm)],[1573, 13518])).
% 3.13/3.33 tff(13520,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13521,plain,
% 3.13/3.33 (((~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(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(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.13/3.33 inference(rewrite,[status(thm)],[])).
% 3.13/3.33 tff(13522,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))),
% 3.13/3.33 inference(monotonicity,[status(thm)],[13521])).
% 3.13/3.33 tff(13523,plain,
% 3.13/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[13522, 13520])).
% 3.13/3.34 tff(13524,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(13525,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(z), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[13524, 13523])).
% 3.13/3.34 tff(13526,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13525, 102, 13467, 13519, 13462, 13507])).
% 3.13/3.34 tff(13527,plain,((~b(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(z, s(s(z)))) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(13528,plain,
% 3.13/3.34 (~b(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13527, 56, 364, 13444, 60, 1])).
% 3.13/3.34 tff(13529,plain,
% 3.13/3.34 (r(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[195, 13528])).
% 3.13/3.34 tff(13530,plain,
% 3.13/3.34 (~b(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[9517, 343, 13444, 56])).
% 3.13/3.34 tff(13531,plain,
% 3.13/3.34 (r(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[380, 13530])).
% 3.13/3.34 tff(13532,plain,
% 3.13/3.34 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1796, 13531, 1, 63])).
% 3.13/3.34 tff(13533,plain,
% 3.13/3.34 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[165, 13532])).
% 3.13/3.34 tff(13534,plain,
% 3.13/3.34 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1971, 13531, 234, 63, 5])).
% 3.13/3.34 tff(13535,plain,
% 3.13/3.34 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[409, 13534])).
% 3.13/3.34 tff(13536,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3737, 13535, 13533, 343, 60])).
% 3.13/3.34 tff(13537,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(13538,plain,
% 3.13/3.34 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13537, 13529, 60, 13256, 5, 1, 56])).
% 3.13/3.34 tff(13539,plain,
% 3.13/3.34 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[303, 13538])).
% 3.13/3.34 tff(13540,plain,
% 3.13/3.34 (~b(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[7004, 13539, 13444, 56, 13232])).
% 3.13/3.34 tff(13541,plain,
% 3.13/3.34 (r(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[380, 13540])).
% 3.13/3.34 tff(13542,plain,
% 3.13/3.34 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1796, 13541, 1, 13256])).
% 3.13/3.34 tff(13543,plain,
% 3.13/3.34 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3785, 13539, 13458, 13529])).
% 3.13/3.34 tff(13544,plain,
% 3.13/3.34 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3202, 13543])).
% 3.13/3.34 tff(13545,plain,
% 3.13/3.34 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1190, 13544, 60, 364])).
% 3.13/3.34 tff(13546,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[165, 13545, 13542])).
% 3.13/3.34 tff(13547,plain,((~b(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))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(13548,plain,
% 3.13/3.34 (~b(s(s(z)), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13547, 364, 60, 1, 5])).
% 3.13/3.34 tff(13549,plain,
% 3.13/3.34 (r(s(s(z)), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1392, 13548])).
% 3.13/3.34 tff(13550,plain,
% 3.13/3.34 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[2713, 13549, 1, 13256])).
% 3.13/3.34 tff(13551,plain,
% 3.13/3.34 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[279, 13550])).
% 3.13/3.34 tff(13552,plain,
% 3.13/3.34 ((~b(s(s(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(s(s(s(s(s(z))))), s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[7848, 13222])).
% 3.13/3.34 tff(13553,plain,
% 3.13/3.34 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13552, 13551, 13444, 364])).
% 3.13/3.34 tff(13554,plain,
% 3.13/3.34 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1711, 13553])).
% 3.13/3.34 tff(13555,plain,
% 3.13/3.34 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[8529, 13554, 5, 13549])).
% 3.13/3.34 tff(13556,plain,
% 3.13/3.34 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3202, 13555])).
% 3.13/3.34 tff(13557,plain,
% 3.13/3.34 (~b(z, s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[12323, 13556, 1, 60, 364, 13256])).
% 3.13/3.34 tff(13558,plain,
% 3.13/3.34 (r(z, s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[88, 13557])).
% 3.13/3.34 tff(13559,plain,
% 3.13/3.34 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[9477, 13558, 364, 13549, 13256, 5, 13554])).
% 3.13/3.34 tff(13560,plain,
% 3.13/3.34 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[303, 13559])).
% 3.13/3.34 tff(13561,plain,
% 3.13/3.34 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1190, 13556, 60, 364])).
% 3.13/3.34 tff(13562,plain,
% 3.13/3.34 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[165, 13561])).
% 3.13/3.34 tff(13563,plain,
% 3.13/3.34 (~r(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1796, 13562, 1, 13256])).
% 3.13/3.34 tff(13564,plain,
% 3.13/3.34 (b(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[380, 13563])).
% 3.13/3.34 tff(13565,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13566,plain,
% 3.13/3.34 (((~b(z, s(s(z)))) | (~b(s(z), 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(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13567,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[13566])).
% 3.13/3.34 tff(13568,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[13567, 13565])).
% 3.13/3.34 tff(13569,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z)))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(13570,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[13569, 13568])).
% 3.13/3.34 tff(13571,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13570, 102, 92, 13222, 7981, 66, 91, 363])).
% 3.13/3.34 tff(13572,plain,((~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(13573,plain,
% 3.13/3.34 (~b(s(z), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13572, 13556, 13444, 13564])).
% 3.13/3.34 tff(13574,plain,
% 3.13/3.34 (r(s(z), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[698, 13573])).
% 3.13/3.34 tff(13575,plain,
% 3.13/3.34 (~r(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3094, 13574, 13560, 13554])).
% 3.13/3.34 tff(13576,plain,
% 3.13/3.34 (b(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[195, 13575])).
% 3.13/3.34 tff(13577,plain,
% 3.13/3.34 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[7695, 13558, 13256, 13549, 5])).
% 3.13/3.34 tff(13578,plain,
% 3.13/3.34 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[409, 13577])).
% 3.13/3.34 tff(13579,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13580,plain,
% 3.13/3.34 (((~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(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(z)), 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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13581,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~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(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[13580])).
% 3.13/3.34 tff(13582,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~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(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[13581, 13579])).
% 3.13/3.34 tff(13583,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(13584,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 3.13/3.34 tff(13585,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13584, 102, 13578, 13576, 13551, 60, 13556])).
% 3.13/3.34 tff(13586,plain,((~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)))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(13587,plain,
% 3.13/3.34 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13586, 60, 1, 5])).
% 3.13/3.34 tff(13588,plain,
% 3.13/3.34 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[361, 13587])).
% 3.13/3.34 tff(13589,plain,
% 3.13/3.34 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1910, 13588, 13458, 5])).
% 3.13/3.34 tff(13590,plain,
% 3.13/3.34 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1711, 13589])).
% 3.13/3.34 tff(13591,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[279, 13447, 11723])).
% 3.13/3.34 tff(13592,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(13593,plain,
% 3.13/3.34 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13592, 13590, 13444])).
% 3.13/3.34 tff(13594,plain,
% 3.13/3.34 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[252, 13593])).
% 3.13/3.34 tff(13595,plain,
% 3.13/3.34 (~b(s(s(z)), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[8743, 13590, 13444])).
% 3.13/3.34 tff(13596,plain,
% 3.13/3.34 (r(s(s(z)), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1392, 13595])).
% 3.13/3.34 tff(13597,plain,
% 3.13/3.34 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[2713, 13594, 1, 13596])).
% 3.13/3.34 tff(13598,plain,
% 3.13/3.34 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[279, 13597])).
% 3.13/3.34 tff(13599,plain,
% 3.13/3.34 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1910, 64, 13471, 5])).
% 3.13/3.34 tff(13600,plain,
% 3.13/3.34 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1711, 13599])).
% 3.13/3.34 tff(13601,plain,
% 3.13/3.34 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13592, 13600, 66])).
% 3.13/3.34 tff(13602,plain,
% 3.13/3.34 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[252, 13601])).
% 3.13/3.34 tff(13603,plain,
% 3.13/3.34 (~b(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[9753, 343, 66, 60, 254])).
% 3.13/3.34 tff(13604,plain,
% 3.13/3.34 (r(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[380, 13603])).
% 3.13/3.34 tff(13605,plain,
% 3.13/3.34 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[8679, 343, 66, 13600, 254])).
% 3.13/3.34 tff(13606,plain,
% 3.13/3.34 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[409, 13605])).
% 3.13/3.34 tff(13607,plain,
% 3.13/3.34 (~r(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1971, 13606, 13604, 13602, 5])).
% 3.13/3.34 tff(13608,plain,
% 3.13/3.34 (b(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[195, 13607])).
% 3.13/3.34 tff(13609,plain,
% 3.13/3.34 (~b(s(s(z)), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[8743, 13600, 66])).
% 3.13/3.34 tff(13610,plain,
% 3.13/3.34 (r(s(s(z)), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1392, 13609])).
% 3.13/3.34 tff(13611,plain,
% 3.13/3.34 (~r(z, s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[7695, 13606, 13602, 13610, 5])).
% 3.13/3.34 tff(13612,plain,
% 3.13/3.34 (b(z, s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[88, 13611])).
% 3.13/3.34 tff(13613,plain,
% 3.13/3.34 (~r(s(z), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[6930, 13606, 13471, 64, 5])).
% 3.13/3.34 tff(13614,plain,
% 3.13/3.34 (b(s(z), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[698, 13613])).
% 3.13/3.34 tff(13615,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1833, 13614, 13612, 66, 13608])).
% 3.13/3.34 tff(13616,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(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(s(z))))))) | (~b(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,[]))).
% 3.13/3.34 tff(13617,plain,
% 3.13/3.34 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13616, 13588, 5, 13444, 13598, 60])).
% 3.13/3.34 tff(13618,plain,
% 3.13/3.34 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[303, 13617])).
% 3.13/3.34 tff(13619,plain,
% 3.13/3.34 (~r(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1433, 234, 235, 65, 67])).
% 3.13/3.34 tff(13620,plain,
% 3.13/3.34 (b(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[380, 13619])).
% 3.13/3.34 tff(13621,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13622,plain,
% 3.13/3.34 (((~b(s(s(s(s(s(z))))), z)) | (~b(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(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13623,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[13622])).
% 3.13/3.34 tff(13624,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[13623, 13621])).
% 3.13/3.34 tff(13625,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(z))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(13626,plain,
% 3.13/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[13625, 13624])).
% 3.13/3.34 tff(13627,plain,
% 3.13/3.34 ($false),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13626, 102, 13222, 7981, 13260, 13620])).
% 3.13/3.34 tff(13628,plain,((~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)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.34 tff(13629,plain,
% 3.13/3.34 (~r(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13628, 13596, 13458, 13618])).
% 3.13/3.34 tff(13630,plain,
% 3.13/3.34 (b(s(s(z)), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[195, 13629])).
% 3.13/3.34 tff(13631,plain,
% 3.13/3.34 ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[5666, 13222])).
% 3.13/3.34 tff(13632,plain,
% 3.13/3.34 (~b(s(z), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13631, 13630, 13444, 13590])).
% 3.13/3.34 tff(13633,plain,
% 3.13/3.34 (r(s(z), s(s(z)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[698, 13632])).
% 3.13/3.34 tff(13634,plain,
% 3.13/3.34 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1162, 13633, 13588, 5, 13618])).
% 3.13/3.34 tff(13635,plain,
% 3.13/3.34 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[409, 13634])).
% 3.13/3.34 tff(13636,plain,
% 3.13/3.34 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3543, 13635, 13598, 13630])).
% 3.13/3.34 tff(13637,plain,
% 3.13/3.34 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[165, 13636])).
% 3.13/3.34 tff(13638,plain,
% 3.13/3.34 (~r(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[1796, 13637, 1, 13594])).
% 3.13/3.34 tff(13639,plain,
% 3.13/3.34 (b(s(z), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[380, 13638])).
% 3.13/3.34 tff(13640,plain,
% 3.13/3.34 (~r(z, s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[9818, 13639, 60, 13590, 13598, 13630, 13594, 13633])).
% 3.13/3.34 tff(13641,plain,
% 3.13/3.34 (b(z, s(z))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[88, 13640])).
% 3.13/3.34 tff(13642,plain,
% 3.13/3.34 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[10986, 13641, 13639])).
% 3.13/3.34 tff(13643,plain,
% 3.13/3.34 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3202, 13642])).
% 3.13/3.34 tff(13644,plain,
% 3.13/3.34 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[13592, 57, 66])).
% 3.13/3.34 tff(13645,plain,
% 3.13/3.34 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[252, 13644])).
% 3.13/3.34 tff(13646,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(X0, 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))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13647,plain,
% 3.13/3.34 (((~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(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(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(13648,plain,
% 3.13/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[13647])).
% 3.13/3.35 tff(13649,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.13/3.35 inference(transitivity,[status(thm)],[13648, 13646])).
% 3.13/3.35 tff(13650,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(13651,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 3.13/3.35 tff(13652,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13651, 102, 13222, 7981, 3594])).
% 3.13/3.35 tff(13653,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2083, 13652])).
% 3.13/3.35 tff(13654,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(z, 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(X0, 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))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(13655,plain,
% 3.13/3.35 (((~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(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(s(z))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(13656,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[13655])).
% 3.13/3.35 tff(13657,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[13656, 13654])).
% 3.13/3.35 tff(13658,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(13659,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[13658, 13657])).
% 3.13/3.35 tff(13660,plain,
% 3.13/3.35 (~b(z, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13659, 102, 13222, 7981, 3594])).
% 3.13/3.35 tff(13661,plain,
% 3.13/3.35 (r(z, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[54, 13660])).
% 3.13/3.35 tff(13662,plain,
% 3.13/3.35 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(z)), 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(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(13663,plain,
% 3.13/3.35 (((~![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(z)))))) | (~r(s(s(z)), 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(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[13662])).
% 3.13/3.35 tff(13664,plain,
% 3.13/3.35 (((~![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(z)))))) | (~r(s(s(z)), 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(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[13663, 7111])).
% 3.13/3.35 tff(13665,plain,
% 3.13/3.35 ((~![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(z)))))) | (~r(s(s(z)), 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)))))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(13666,plain,
% 3.13/3.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(z)), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[13665, 13664])).
% 3.13/3.35 tff(13667,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13666, 17, 65, 7519, 13661, 13653])).
% 3.13/3.35 tff(13668,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(z)), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(13669,plain,
% 3.13/3.35 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13668, 3594, 9098])).
% 3.13/3.35 tff(13670,plain,
% 3.13/3.35 (b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[8907, 13669])).
% 3.13/3.35 tff(13671,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[11856, 13670, 60, 66, 57])).
% 3.13/3.35 tff(13672,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2072, 13671])).
% 3.13/3.35 tff(13673,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[10883, 13672, 1, 13645])).
% 3.13/3.35 tff(13674,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2083, 13673])).
% 3.13/3.35 tff(13675,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13651, 102, 13222, 7981, 13674, 3594])).
% 3.13/3.35 tff(13676,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(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(13677,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13676, 60, 1, 13444, 13590])).
% 3.13/3.35 tff(13678,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[6546, 13677])).
% 3.13/3.35 tff(13679,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13517, 13678, 13618, 13643])).
% 3.13/3.35 tff(13680,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1573, 13679])).
% 3.13/3.35 tff(13681,plain,
% 3.13/3.35 (~b(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[4474, 13680, 13639, 13641])).
% 3.13/3.35 tff(13682,plain,
% 3.13/3.35 (r(s(s(s(s(z)))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2083, 13681])).
% 3.13/3.35 tff(13683,plain,
% 3.13/3.35 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[10883, 13682, 1, 13594])).
% 3.13/3.35 tff(13684,plain,
% 3.13/3.35 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2072, 13683])).
% 3.13/3.35 tff(13685,plain,
% 3.13/3.35 ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[7088, 13222])).
% 3.13/3.35 tff(13686,plain,
% 3.13/3.35 (~b(z, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13685, 13680, 13639, 13641])).
% 3.13/3.35 tff(13687,plain,
% 3.13/3.35 (r(z, s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[54, 13686])).
% 3.13/3.35 tff(13688,plain,
% 3.13/3.35 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[10212, 13687, 13458, 13596, 13678])).
% 3.13/3.35 tff(13689,plain,
% 3.13/3.35 (b(s(s(z)), s(s(s(s(z)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[8907, 13688])).
% 3.13/3.35 tff(13690,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[11856, 13689, 13684, 60, 13444, 13590])).
% 3.13/3.35 tff(13691,plain,((~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(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(13692,plain,
% 3.13/3.35 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13691, 5, 1])).
% 3.13/3.35 tff(13693,plain,
% 3.13/3.35 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[341, 13692])).
% 3.13/3.35 tff(13694,plain,
% 3.13/3.35 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[8778, 56, 13444, 13693])).
% 3.13/3.35 tff(13695,plain,
% 3.13/3.35 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[252, 13694])).
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% 3.13/3.35 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1910, 13232, 13458, 5])).
% 3.13/3.35 tff(13697,plain,
% 3.13/3.35 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[361, 13696])).
% 3.13/3.35 tff(13698,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[9517, 343, 66, 56])).
% 3.13/3.35 tff(13699,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[380, 13698])).
% 3.13/3.35 tff(13700,plain,
% 3.13/3.35 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1796, 13699, 1, 63])).
% 3.13/3.35 tff(13701,plain,
% 3.13/3.35 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[165, 13700])).
% 3.13/3.35 tff(13702,plain,
% 3.13/3.35 ((~b(s(s(s(s(s(z))))), s(z))) | (~r(s(z), z)) | (~r(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(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[6682, 13222])).
% 3.13/3.35 tff(13703,plain,
% 3.13/3.35 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13702, 13699, 63, 364, 343])).
% 3.13/3.35 tff(13704,plain,
% 3.13/3.35 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3202, 13703])).
% 3.13/3.35 tff(13705,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[3938, 13704, 13232, 13471])).
% 3.13/3.35 tff(13706,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[698, 13705])).
% 3.13/3.35 tff(13707,plain,
% 3.13/3.35 ((~b(s(s(z)), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[4653, 13222])).
% 3.13/3.35 tff(13708,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[13707, 13706, 66, 56])).
% 3.13/3.35 tff(13709,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[88, 13708])).
% 3.13/3.35 tff(13710,plain,
% 3.13/3.35 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1930, 13709, 63, 13699])).
% 3.13/3.35 tff(13711,plain,
% 3.13/3.35 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[409, 13710])).
% 3.13/3.35 tff(13712,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[4386, 102, 13711, 343, 364, 13701])).
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% 3.13/3.35 tff(13714,plain,
% 3.13/3.35 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13713, 13697, 13695, 13444, 56, 1])).
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[303, 13714])).
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[7004, 13715, 13444, 56, 13232])).
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[380, 13716])).
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% 3.13/3.35 (~r(s(s(z)), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[12629, 13715, 5, 13693, 13232])).
% 3.13/3.35 tff(13719,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[195, 13718])).
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% 3.13/3.35 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2185, 13715, 5, 13693, 13232])).
% 3.13/3.35 tff(13721,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[165, 13720])).
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[2100, 13232, 5, 13693])).
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[409, 13724])).
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[88, 13726])).
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[3840, 17, 68, 59])).
% 3.13/3.35 tff(13729,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[13728, 393])).
% 3.13/3.35 tff(13730,plain,
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% 3.13/3.35 inference(unit_resolution,[status(thm)],[4787, 13731])).
% 3.13/3.35 tff(13733,plain,
% 3.13/3.35 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[9223, 102, 13732, 66, 56, 13730])).
% 3.13/3.35 tff(13734,assumption,(~(s(s(z)) = s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 3.13/3.35 tff(13735,assumption,(s(s(s(s(s(z))))) = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 3.13/3.35 tff(13736,plain,
% 3.13/3.35 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[13735])).
% 3.13/3.35 tff(13737,plain,
% 3.13/3.35 (s(s(s(s(z)))) = s(s(s(s(s(s(z))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[270, 13736, 150, 13735])).
% 3.13/3.35 tff(13738,plain,
% 3.13/3.35 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[13737])).
% 3.13/3.35 tff(13739,plain,
% 3.13/3.35 (s(s(s(z))) = s(s(s(s(s(s(z))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[221, 13738, 150, 13735])).
% 3.13/3.35 tff(13740,plain,
% 3.13/3.35 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[13739])).
% 3.13/3.35 tff(13741,plain,
% 3.13/3.35 (s(s(z)) = s(s(s(s(s(s(z))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[326, 13740, 150, 13735])).
% 3.13/3.35 tff(13742,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13734, 13741])).
% 3.13/3.35 tff(13743,plain,((~(s(s(s(s(s(z))))) = s(s(s(s(s(s(z)))))))) | (s(s(z)) = s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(13744,plain,
% 3.13/3.35 (~(s(s(s(s(s(z))))) = s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13743, 13734])).
% 3.13/3.35 tff(13745,plain,
% 3.13/3.35 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[340, 49, 13744, 13733])).
% 3.13/3.35 tff(13746,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(13747,plain,
% 3.13/3.35 (((~b(s(s(z)), s(z))) | (~b(s(s(z)), s(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)), 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)))))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(13748,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[13747])).
% 3.13/3.35 tff(13749,plain,
% 3.13/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[13748, 13746])).
% 3.13/3.35 tff(13750,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(13751,plain,
% 3.13/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 3.13/3.35 tff(13752,plain,
% 3.13/3.35 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13751, 102, 66, 168, 56, 13730])).
% 3.13/3.35 tff(13753,plain,
% 3.13/3.35 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[277, 49, 13734, 13752])).
% 3.13/3.35 tff(13754,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[12020, 17, 67, 3, 393, 13753, 13745])).
% 3.13/3.35 tff(13755,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))))), s(s(z)))) | (s(s(z)) = s(s(s(s(s(s(z))))))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(13756,plain,
% 3.13/3.35 ((~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(z)))) | (~b(z, s(s(z)))) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))) | (~r(z, s(z))) | (~r(s(z), z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13755, 274])).
% 3.13/3.35 tff(13757,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13756, 13727, 13725, 13444, 13715, 56, 13232, 13719, 13717])).
% 3.13/3.35 tff(13758,plain,((~b(s(s(z)), z)) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(13759,plain,
% 3.13/3.35 (~b(s(s(z)), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13758, 5, 1])).
% 3.13/3.35 tff(13760,plain,
% 3.13/3.35 (r(s(s(z)), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1392, 13759])).
% 3.13/3.35 tff(13761,plain,
% 3.13/3.35 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[2713, 13454, 1, 13760])).
% 3.13/3.35 tff(13762,plain,
% 3.13/3.35 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[279, 13761])).
% 3.13/3.35 tff(13763,plain,
% 3.13/3.35 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13452, 5, 66])).
% 3.13/3.35 tff(13764,plain,
% 3.13/3.35 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[252, 13763])).
% 3.13/3.35 tff(13765,plain,
% 3.13/3.35 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[7695, 68, 65, 13764, 5])).
% 3.13/3.35 tff(13766,plain,
% 3.13/3.35 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[409, 13765])).
% 3.13/3.35 tff(13767,plain,
% 3.13/3.35 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[8679, 13766, 66, 343, 254])).
% 3.13/3.35 tff(13768,plain,
% 3.13/3.35 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1711, 13767])).
% 3.13/3.35 tff(13769,plain,
% 3.13/3.35 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1910, 13768, 13471, 5])).
% 3.13/3.35 tff(13770,plain,
% 3.13/3.35 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[9477, 13768, 65, 343, 13764, 5, 68])).
% 3.13/3.35 tff(13771,plain,
% 3.13/3.35 ($false),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[361, 13770, 13769])).
% 3.13/3.35 tff(13772,plain,((~r(z, s(z))) | (~r(s(s(z)), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~r(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))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.35 tff(13773,plain,
% 3.13/3.35 (~r(z, s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13772, 343, 65, 5, 66, 254])).
% 3.13/3.35 tff(13774,plain,
% 3.13/3.35 (b(z, s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[88, 13773])).
% 3.13/3.35 tff(13775,plain,
% 3.13/3.35 ((~b(s(z), z)) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(z, s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[5754, 13222])).
% 3.13/3.35 tff(13776,plain,
% 3.13/3.35 (~b(s(z), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13775, 13774, 343])).
% 3.13/3.35 tff(13777,plain,
% 3.13/3.35 (r(s(z), z)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[380, 13776])).
% 3.13/3.35 tff(13778,plain,
% 3.13/3.35 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13298, 13774, 343])).
% 3.13/3.35 tff(13779,plain,
% 3.13/3.35 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[3202, 13778])).
% 3.13/3.35 tff(13780,plain,
% 3.13/3.35 ((~r(s(z), z)) | (~b(z, s(s(z)))) | (~r(s(z), 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)), z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[8337, 7981])).
% 3.13/3.35 tff(13781,plain,
% 3.13/3.35 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[13780, 13779, 5, 65, 13777, 66])).
% 3.13/3.35 tff(13782,plain,
% 3.13/3.35 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1711, 13781])).
% 3.13/3.35 tff(13783,plain,
% 3.13/3.35 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1971, 59, 234, 13764, 5])).
% 3.13/3.35 tff(13784,plain,
% 3.13/3.35 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[409, 13783])).
% 3.13/3.35 tff(13785,plain,
% 3.13/3.35 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[8679, 13784, 66, 343, 254])).
% 3.13/3.35 tff(13786,plain,
% 3.13/3.35 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[1711, 13785])).
% 3.13/3.36 tff(13787,plain,
% 3.13/3.36 (~r(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1403, 59, 65, 234])).
% 3.13/3.36 tff(13788,plain,
% 3.13/3.36 (b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[88, 13787])).
% 3.13/3.36 tff(13789,plain,
% 3.13/3.36 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13298, 13788, 343])).
% 3.13/3.36 tff(13790,plain,
% 3.13/3.36 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3202, 13789])).
% 3.13/3.36 tff(13791,plain,
% 3.13/3.36 (~b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[8187, 13788, 66, 254, 13784])).
% 3.13/3.36 tff(13792,plain,
% 3.13/3.36 (r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13791])).
% 3.13/3.36 tff(13793,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3938, 13792, 13790, 13786, 13471])).
% 3.13/3.36 tff(13794,plain,((~r(s(z), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13795,plain,
% 3.13/3.36 (~r(s(s(z)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13794, 13777, 343, 254, 66, 5, 65])).
% 3.13/3.36 tff(13796,plain,
% 3.13/3.36 (b(s(s(z)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[195, 13795])).
% 3.13/3.36 tff(13797,plain,
% 3.13/3.36 (~b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13631, 13796, 66, 13782])).
% 3.13/3.36 tff(13798,plain,
% 3.13/3.36 (~r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[11910, 13796, 305, 5, 13764, 254, 13779, 65])).
% 3.13/3.36 tff(13799,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13798, 13797])).
% 3.13/3.36 tff(13800,plain,((~b(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(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), z)) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13801,plain,
% 3.13/3.36 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13800, 13693, 5, 13762, 13760, 13444])).
% 3.13/3.36 tff(13802,plain,
% 3.13/3.36 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[303, 13801])).
% 3.13/3.36 tff(13803,plain,
% 3.13/3.36 (~r(s(s(z)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13628, 13802, 13458, 13760])).
% 3.13/3.36 tff(13804,plain,
% 3.13/3.36 (b(s(s(z)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[195, 13803])).
% 3.13/3.36 tff(13805,plain,
% 3.13/3.36 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13552, 57, 13444, 13762])).
% 3.13/3.36 tff(13806,plain,
% 3.13/3.36 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[361, 13805])).
% 3.13/3.36 tff(13807,plain,
% 3.13/3.36 (~b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13631, 57, 13444, 13804])).
% 3.13/3.36 tff(13808,plain,
% 3.13/3.36 (r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13807])).
% 3.13/3.36 tff(13809,plain,
% 3.13/3.36 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1162, 13808, 13806, 5, 13802])).
% 3.13/3.36 tff(13810,plain,
% 3.13/3.36 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[409, 13809])).
% 3.13/3.36 tff(13811,plain,
% 3.13/3.36 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3543, 13810, 13762, 13804])).
% 3.13/3.36 tff(13812,plain,
% 3.13/3.36 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[165, 13811])).
% 3.13/3.36 tff(13813,plain,
% 3.13/3.36 (~r(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1796, 13812, 1, 13454])).
% 3.13/3.36 tff(13814,plain,
% 3.13/3.36 (b(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[380, 13813])).
% 3.13/3.36 tff(13815,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[7377, 13806, 13458, 13693, 13762, 13802])).
% 3.13/3.36 tff(13816,plain,
% 3.13/3.36 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3202, 13815])).
% 3.13/3.36 tff(13817,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13626, 102, 13222, 7981, 13816, 13814])).
% 3.13/3.36 tff(13818,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13819,plain,
% 3.13/3.36 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13818, 5, 1])).
% 3.13/3.36 tff(13820,plain,
% 3.13/3.36 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1711, 13819])).
% 3.13/3.36 tff(13821,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2185, 13820, 5, 13693, 13802])).
% 3.13/3.36 tff(13822,plain,
% 3.13/3.36 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[165, 13821])).
% 3.13/3.36 tff(13823,plain,
% 3.13/3.36 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1910, 13820, 13458, 5])).
% 3.13/3.36 tff(13824,plain,
% 3.13/3.36 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[361, 13823])).
% 3.13/3.36 tff(13825,plain,
% 3.13/3.36 (~b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13463, 13824, 13804, 13822, 13444])).
% 3.13/3.36 tff(13826,plain,
% 3.13/3.36 (r(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[88, 13825])).
% 3.13/3.36 tff(13827,plain,
% 3.13/3.36 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3543, 13822, 13762, 13804])).
% 3.13/3.36 tff(13828,plain,
% 3.13/3.36 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[409, 13827])).
% 3.13/3.36 tff(13829,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[7695, 13828, 13826, 13760, 13454, 5])).
% 3.13/3.36 tff(13830,plain,((~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13831,plain,
% 3.13/3.36 (~r(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13830, 1])).
% 3.13/3.36 tff(13832,plain,
% 3.13/3.36 (b(s(s(s(s(s(s(z)))))), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[496, 13831])).
% 3.13/3.36 tff(13833,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), z)) | (~b(s(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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(13834,plain,
% 3.13/3.36 (((~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(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(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(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(13835,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[13834])).
% 3.13/3.36 tff(13836,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.13/3.36 inference(transitivity,[status(thm)],[13835, 13833])).
% 3.13/3.36 tff(13837,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), z)) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(13838,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 3.13/3.36 tff(13839,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13838, 102, 13222, 7981, 498, 56, 4])).
% 3.13/3.36 tff(13840,plain,((~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13841,plain,
% 3.13/3.36 (~b(s(s(z)), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13840, 4, 13832])).
% 3.13/3.36 tff(13842,plain,
% 3.13/3.36 (r(s(s(z)), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1392, 13841])).
% 3.13/3.36 tff(13843,plain,
% 3.13/3.36 ((~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[4779, 7981])).
% 3.13/3.36 tff(13844,plain,
% 3.13/3.36 ((~b(s(s(s(s(s(s(z)))))), z)) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13843, 13222])).
% 3.13/3.36 tff(13845,plain,
% 3.13/3.36 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13844, 62, 4])).
% 3.13/3.36 tff(13846,plain,
% 3.13/3.36 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[232, 13845])).
% 3.13/3.36 tff(13847,plain,
% 3.13/3.36 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[9769, 234, 13842, 62, 1])).
% 3.13/3.36 tff(13848,plain,
% 3.13/3.36 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[409, 13847])).
% 3.13/3.36 tff(13849,plain,
% 3.13/3.36 (~b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[12193, 13848, 13832, 4, 13846])).
% 3.13/3.36 tff(13850,plain,
% 3.13/3.36 (r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13849])).
% 3.13/3.36 tff(13851,plain,
% 3.13/3.36 (~r(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[976, 13850, 2, 234])).
% 3.13/3.36 tff(13852,plain,
% 3.13/3.36 (~b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[11702, 13850, 4, 13842, 13848, 1])).
% 3.13/3.36 tff(13853,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[88, 13852, 13851])).
% 3.13/3.36 tff(13854,plain,((~r(s(s(z)), s(z))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13855,plain,
% 3.13/3.36 (~r(s(s(z)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13854, 62, 1, 2, 4])).
% 3.13/3.36 tff(13856,plain,
% 3.13/3.36 (b(s(s(z)), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[195, 13855])).
% 3.13/3.36 tff(13857,plain,
% 3.13/3.36 (~b(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13775, 343, 382])).
% 3.13/3.36 tff(13858,plain,
% 3.13/3.36 (r(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[380, 13857])).
% 3.13/3.36 tff(13859,plain,
% 3.13/3.36 (~r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1419, 13858, 2, 65])).
% 3.13/3.36 tff(13860,plain,
% 3.13/3.36 (b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13859])).
% 3.13/3.36 tff(13861,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(13862,plain,
% 3.13/3.36 (((~b(s(s(z)), s(z))) | (~b(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(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(13863,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[13862])).
% 3.13/3.36 tff(13864,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[13863, 13861])).
% 3.13/3.36 tff(13865,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(z))))), s(z))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(13866,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z)))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[13865, 13864])).
% 3.13/3.36 tff(13867,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13866, 102, 13860, 168, 343, 197])).
% 3.13/3.36 tff(13868,plain,((~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))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13869,plain,
% 3.13/3.36 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13868, 382, 197, 2, 65, 168])).
% 3.13/3.36 tff(13870,plain,
% 3.13/3.36 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[303, 13869])).
% 3.13/3.36 tff(13871,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[10976, 13870, 498, 305, 64, 168])).
% 3.13/3.36 tff(13872,plain,
% 3.13/3.36 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3202, 13871])).
% 3.13/3.36 tff(13873,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(13874,plain,
% 3.13/3.36 (((~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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(13875,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[13874])).
% 3.13/3.36 tff(13876,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[13875, 13873])).
% 3.13/3.36 tff(13877,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(z))))))) | (~b(z, s(z))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(13878,plain,
% 3.13/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 3.13/3.36 tff(13879,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13878, 102, 13222, 7981, 382, 13872])).
% 3.13/3.36 tff(13880,plain,((~b(z, s(z))) | (~b(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(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~r(z, s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13881,plain,
% 3.13/3.36 (~b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13880, 13856, 13350, 13352, 13832, 13846, 2, 13842])).
% 3.13/3.36 tff(13882,plain,
% 3.13/3.36 (r(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[88, 13881])).
% 3.13/3.36 tff(13883,plain,
% 3.13/3.36 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[6958, 13882, 1, 2, 62])).
% 3.13/3.36 tff(13884,plain,
% 3.13/3.36 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[409, 13883])).
% 3.13/3.36 tff(13885,plain,
% 3.13/3.36 (~b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[12193, 13884, 13832, 4, 13846])).
% 3.13/3.36 tff(13886,plain,
% 3.13/3.36 (r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13885])).
% 3.13/3.36 tff(13887,plain,
% 3.13/3.36 (~r(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1419, 13886, 2, 13842])).
% 3.13/3.36 tff(13888,plain,
% 3.13/3.36 (b(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[380, 13887])).
% 3.13/3.36 tff(13889,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[8443, 102, 13222, 7981, 13884, 4, 13888])).
% 3.13/3.36 tff(13890,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13891,plain,
% 3.13/3.36 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13890, 4, 2, 1])).
% 3.13/3.36 tff(13892,plain,
% 3.13/3.36 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[279, 13891])).
% 3.13/3.36 tff(13893,plain,
% 3.13/3.36 (~b(s(s(z)), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13840, 4, 498])).
% 3.13/3.36 tff(13894,plain,
% 3.13/3.36 (r(s(s(z)), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1392, 13893])).
% 3.13/3.36 tff(13895,plain,
% 3.13/3.36 (~r(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1403, 59, 13894, 234])).
% 3.13/3.36 tff(13896,plain,
% 3.13/3.36 (b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[88, 13895])).
% 3.13/3.36 tff(13897,plain,
% 3.13/3.36 (~r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[1419, 59, 2, 13894])).
% 3.13/3.36 tff(13898,plain,
% 3.13/3.36 (b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13897])).
% 3.13/3.36 tff(13899,plain,
% 3.13/3.36 (~r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[12111, 13898, 498, 13350, 254])).
% 3.13/3.36 tff(13900,plain,
% 3.13/3.36 (b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[303, 13899])).
% 3.13/3.36 tff(13901,plain,
% 3.13/3.36 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[5497, 59, 498, 13894, 4, 234])).
% 3.13/3.36 tff(13902,plain,
% 3.13/3.36 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[165, 13901])).
% 3.13/3.36 tff(13903,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3487, 13902, 13350, 13352])).
% 3.13/3.36 tff(13904,plain,
% 3.13/3.36 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3202, 13903])).
% 3.13/3.36 tff(13905,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13298, 13904, 13900, 13896])).
% 3.13/3.36 tff(13906,plain,((~r(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(s(s(z)))))), z)) | (~r(s(s(z)), s(z))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13907,plain,
% 3.13/3.36 (~r(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13906, 234, 254, 4, 498, 2])).
% 3.13/3.36 tff(13908,plain,
% 3.13/3.36 (b(s(z), z)),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[380, 13907])).
% 3.13/3.36 tff(13909,plain,
% 3.13/3.36 (~r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3094, 780, 234, 3])).
% 3.13/3.36 tff(13910,plain,
% 3.13/3.36 (b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[303, 13909])).
% 3.13/3.36 tff(13911,plain,
% 3.13/3.36 (~r(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[976, 780, 2, 234])).
% 3.13/3.36 tff(13912,plain,
% 3.13/3.36 (b(z, s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[88, 13911])).
% 3.13/3.36 tff(13913,plain,
% 3.13/3.36 ($false),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13775, 13912, 13910, 363])).
% 3.13/3.36 tff(13914,plain,((~r(s(z), s(s(z)))) | (~b(s(z), z)) | (~r(z, s(s(z)))) | (~r(s(s(z)), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.36 tff(13915,plain,
% 3.13/3.36 (~r(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[13914, 13908, 2, 234, 3])).
% 3.13/3.36 tff(13916,plain,
% 3.13/3.36 (b(s(z), s(s(z)))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[698, 13915])).
% 3.13/3.36 tff(13917,plain,
% 3.13/3.36 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[2774, 13916, 498, 254])).
% 3.13/3.36 tff(13918,plain,
% 3.13/3.36 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[165, 13917])).
% 3.13/3.36 tff(13919,plain,
% 3.13/3.36 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[3487, 13918, 13350, 13352])).
% 3.13/3.36 tff(13920,plain,
% 3.13/3.36 (~r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[12111, 13916, 498, 13350, 254])).
% 3.13/3.36 tff(13921,plain,
% 3.13/3.36 (b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[303, 13920])).
% 3.13/3.36 tff(13922,plain,
% 3.13/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(s(z))))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13923,plain,
% 3.13/3.37 (((~b(s(z), s(s(z)))) | (~b(s(z), 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(s(z), z)) | (~b(s(z), 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(s(z))))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13924,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(z), 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(s(z)))))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[13923])).
% 3.13/3.37 tff(13925,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), 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(s(z))))))))),
% 3.13/3.37 inference(transitivity,[status(thm)],[13924, 13922])).
% 3.13/3.37 tff(13926,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(13927,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(z), s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[13926, 13925])).
% 3.13/3.37 tff(13928,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13927, 102, 92, 540, 343, 91, 363])).
% 3.13/3.37 tff(13929,plain,((~b(s(s(s(s(s(z))))), s(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(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(13930,plain,
% 3.13/3.37 ((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13929, 13222])).
% 3.13/3.37 tff(13931,plain,
% 3.13/3.37 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13930, 13921, 13916, 13908])).
% 3.13/3.37 tff(13932,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3202, 13931, 13919])).
% 3.13/3.37 tff(13933,plain,((~r(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(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(13934,plain,
% 3.13/3.37 (~r(s(s(z)), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13933, 13892, 13832, 2, 3, 4])).
% 3.13/3.37 tff(13935,plain,
% 3.13/3.37 (b(s(s(z)), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[195, 13934])).
% 3.13/3.37 tff(13936,plain,
% 3.13/3.37 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[2774, 92, 13832, 254])).
% 3.13/3.37 tff(13937,plain,
% 3.13/3.37 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[165, 13936])).
% 3.13/3.37 tff(13938,plain,
% 3.13/3.37 (~r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[12111, 92, 13832, 305, 254])).
% 3.13/3.37 tff(13939,plain,
% 3.13/3.37 (b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[303, 13938])).
% 3.13/3.37 tff(13940,plain,
% 3.13/3.37 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3487, 13937, 305, 64])).
% 3.13/3.37 tff(13941,plain,
% 3.13/3.37 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3202, 13940])).
% 3.13/3.37 tff(13942,plain,
% 3.13/3.37 (~b(z, s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13298, 13941, 13939])).
% 3.13/3.37 tff(13943,plain,
% 3.13/3.37 (r(z, s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[88, 13942])).
% 3.13/3.37 tff(13944,plain,
% 3.13/3.37 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[9287, 92, 13832, 254])).
% 3.13/3.37 tff(13945,plain,
% 3.13/3.37 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[409, 13944])).
% 3.13/3.37 tff(13946,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[745, 17, 13945, 13943, 1, 13937])).
% 3.13/3.37 tff(13947,plain,((~b(s(z), 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(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(13948,plain,
% 3.13/3.37 (~b(s(z), s(s(z)))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13947, 13350, 1, 13352, 13892])).
% 3.13/3.37 tff(13949,plain,
% 3.13/3.37 (r(s(z), s(s(z)))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[698, 13948])).
% 3.13/3.37 tff(13950,plain,
% 3.13/3.37 (~r(s(z), z)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1419, 13949, 2, 13842])).
% 3.13/3.37 tff(13951,plain,
% 3.13/3.37 (b(s(z), z)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[380, 13950])).
% 3.13/3.37 tff(13952,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z))))), z)))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13953,plain,
% 3.13/3.37 (((~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(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z)))) <=> ((~b(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(s(z))))), z)))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13954,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(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(s(z))))), z))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[13953])).
% 3.13/3.37 tff(13955,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(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(s(z))))), z)))),
% 3.13/3.37 inference(transitivity,[status(thm)],[13954, 13952])).
% 3.13/3.37 tff(13956,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(z))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(13957,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(z))))), z))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[13956, 13955])).
% 3.13/3.37 tff(13958,plain,
% 3.13/3.37 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13957, 102, 13222, 7981, 13951])).
% 3.13/3.37 tff(13959,plain,
% 3.13/3.37 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[303, 13958])).
% 3.13/3.37 tff(13960,plain,
% 3.13/3.37 (~b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13626, 102, 13222, 7981, 13951])).
% 3.13/3.37 tff(13961,plain,
% 3.13/3.37 (r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3202, 13960])).
% 3.13/3.37 tff(13962,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[10976, 13961, 13959, 13832, 13350, 13352, 13935])).
% 3.13/3.37 tff(13963,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(13964,plain,
% 3.13/3.37 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13963, 3, 1, 2])).
% 3.13/3.37 tff(13965,plain,
% 3.13/3.37 (r(s(s(s(s(s(s(z)))))), z)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[252, 13964])).
% 3.13/3.37 tff(13966,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[9151, 102, 13222, 7981, 56, 197])).
% 3.13/3.37 tff(13967,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(13968,plain,
% 3.13/3.37 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13967, 56])).
% 3.13/3.37 tff(13969,plain,
% 3.13/3.37 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[232, 13968])).
% 3.13/3.37 tff(13970,assumption,(~b(s(s(z)), s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 3.13/3.37 tff(13971,plain,
% 3.13/3.37 (r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[279, 13970])).
% 3.13/3.37 tff(13972,plain,
% 3.13/3.37 (r(s(z), s(s(z)))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[698, 692])).
% 3.13/3.37 tff(13973,plain,
% 3.13/3.37 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3938, 13972, 3, 13969])).
% 3.13/3.37 tff(13974,plain,
% 3.13/3.37 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3202, 13973])).
% 3.13/3.37 tff(13975,plain,
% 3.13/3.37 (~b(s(s(s(s(s(z))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13702, 59, 13965, 364, 13974])).
% 3.13/3.37 tff(13976,plain,
% 3.13/3.37 (r(s(s(s(s(s(z))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[303, 13975])).
% 3.13/3.37 tff(13977,plain,
% 3.13/3.37 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1796, 59, 1, 13965])).
% 3.13/3.37 tff(13978,plain,
% 3.13/3.37 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[165, 13977])).
% 3.13/3.37 tff(13979,plain,
% 3.13/3.37 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1190, 13978, 364, 13974])).
% 3.13/3.37 tff(13980,plain,
% 3.13/3.37 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[341, 13979])).
% 3.13/3.37 tff(13981,plain,
% 3.13/3.37 (~r(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3938, 780, 3, 235])).
% 3.13/3.37 tff(13982,assumption,(~(s(z) = s(s(s(s(s(z))))))), introduced(assumption)).
% 3.13/3.37 tff(13983,plain,
% 3.13/3.37 (b(s(z), s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[3200, 49, 13982, 13981])).
% 3.13/3.37 tff(13984,plain,
% 3.13/3.37 (~r(z, s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[1718, 17, 3, 235, 2])).
% 3.13/3.37 tff(13985,plain,
% 3.13/3.37 (b(z, s(s(s(s(s(z))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[557, 13984])).
% 3.13/3.37 tff(13986,assumption,(b(z, elem!1)), introduced(assumption)).
% 3.13/3.37 tff(13987,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13988,plain,
% 3.13/3.37 (((~b(z, elem!1)) | (~b(z, elem!1)) | (~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(z, elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13989,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, elem!1)) | (~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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[13988])).
% 3.13/3.37 tff(13990,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, elem!1)) | (~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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.37 inference(transitivity,[status(thm)],[13989, 13987])).
% 3.13/3.37 tff(13991,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, elem!1)) | (~b(z, elem!1)) | (~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))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(13992,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, elem!1)) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[13991, 13990])).
% 3.13/3.37 tff(13993,plain,
% 3.13/3.37 (~b(z, s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[13992, 102, 13986, 13985, 4759, 13983])).
% 3.13/3.37 tff(13994,plain,
% 3.13/3.37 (r(z, s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[87, 13993, 83])).
% 3.13/3.37 tff(13995,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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))))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13996,plain,
% 3.13/3.37 (((~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(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(z, s(s(s(s(s(z))))))) | (~b(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)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.37 inference(rewrite,[status(thm)],[])).
% 3.13/3.37 tff(13997,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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)))))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[13996])).
% 3.13/3.37 tff(13998,plain,
% 3.13/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), 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))))))))),
% 3.13/3.37 inference(transitivity,[status(thm)],[13997, 13995])).
% 3.13/3.37 tff(13999,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))),
% 3.13/3.37 inference(quant_inst,[status(thm)],[])).
% 3.13/3.37 tff(14000,plain,
% 3.13/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[13999, 13998])).
% 3.13/3.37 tff(14001,plain,
% 3.13/3.37 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[14000, 102, 13985, 4759, 364, 13983])).
% 3.13/3.37 tff(14002,plain,
% 3.13/3.37 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[407, 49, 14001, 156])).
% 3.13/3.37 tff(14003,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[7978, 17, 780, 14002, 13994, 2, 1])).
% 3.13/3.37 tff(14004,plain,((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(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(z, elem!1)) | (s(z) = s(s(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(14005,plain,
% 3.13/3.37 ((~r(s(z), s(s(z)))) | (~r(z, s(s(z)))) | (~r(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(z, elem!1)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[14004, 297])).
% 3.13/3.37 tff(14006,plain,
% 3.13/3.37 ((~r(s(z), s(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(s(z))))))) | (~b(z, elem!1)) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[14005, 7981])).
% 3.13/3.37 tff(14007,plain,
% 3.13/3.37 (~b(z, elem!1)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[14006, 13972, 2, 3, 13969, 1, 364])).
% 3.13/3.37 tff(14008,assumption,(s(s(s(s(s(z))))) = elem!1), introduced(assumption)).
% 3.13/3.37 tff(14009,plain,
% 3.13/3.37 (b(z, s(s(s(s(s(z)))))) <=> b(z, elem!1)),
% 3.13/3.37 inference(monotonicity,[status(thm)],[14008])).
% 3.13/3.37 tff(14010,plain,
% 3.13/3.37 (b(z, elem!1) <=> b(z, s(s(s(s(s(z))))))),
% 3.13/3.37 inference(symmetry,[status(thm)],[14009])).
% 3.13/3.37 tff(14011,plain,
% 3.13/3.37 ((~b(z, elem!1)) <=> (~b(z, s(s(s(s(s(z)))))))),
% 3.13/3.37 inference(monotonicity,[status(thm)],[14010])).
% 3.13/3.37 tff(14012,assumption,(~b(z, elem!1)), introduced(assumption)).
% 3.13/3.37 tff(14013,plain,
% 3.13/3.37 (~b(z, s(s(s(s(s(z))))))),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 3.13/3.37 tff(14014,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[540, 14013])).
% 3.13/3.37 tff(14015,plain,((~(s(s(s(s(s(z))))) = elem!1)) | (~b(z, s(s(s(s(s(z))))))) | b(z, elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(14016,plain,
% 3.13/3.37 ((~(s(s(s(s(s(z))))) = elem!1)) | b(z, elem!1)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[14015, 13222])).
% 3.13/3.37 tff(14017,plain,
% 3.13/3.37 (~(s(s(s(s(s(z))))) = elem!1)),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[14016, 14007])).
% 3.13/3.37 tff(14018,plain,
% 3.13/3.37 ((s(s(s(s(s(z))))) = elem!1) <=> (elem!1 = s(s(s(s(s(z))))))),
% 3.13/3.37 inference(commutativity,[status(thm)],[])).
% 3.13/3.37 tff(14019,plain,
% 3.13/3.37 ((elem!1 = s(s(s(s(s(z)))))) <=> (s(s(s(s(s(z))))) = elem!1)),
% 3.13/3.37 inference(symmetry,[status(thm)],[14018])).
% 3.13/3.37 tff(14020,assumption,(elem!1 = s(s(s(s(s(z)))))), introduced(assumption)).
% 3.13/3.37 tff(14021,plain,
% 3.13/3.37 (s(s(s(s(s(z))))) = elem!1),
% 3.13/3.37 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 3.13/3.37 tff(14022,assumption,(~(s(s(s(s(s(z))))) = elem!1)), introduced(assumption)).
% 3.13/3.37 tff(14023,plain,
% 3.13/3.37 ($false),
% 3.13/3.37 inference(unit_resolution,[status(thm)],[14022, 14021])).
% 3.13/3.37 tff(14024,plain,((~(elem!1 = s(s(s(s(s(z))))))) | (s(s(s(s(s(z))))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.37 tff(14025,plain,
% 3.13/3.38 (~(elem!1 = s(s(s(s(s(z))))))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14024, 14017])).
% 3.13/3.38 tff(14026,plain,
% 3.13/3.38 (~r(s(s(z)), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[3094, 13976, 13972, 3])).
% 3.13/3.38 tff(14027,plain,
% 3.13/3.38 (b(s(s(z)), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[195, 14026])).
% 3.13/3.38 tff(14028,plain,
% 3.13/3.38 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[5363, 14027, 13832, 13978])).
% 3.13/3.38 tff(14029,plain,
% 3.13/3.38 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[409, 14028])).
% 3.13/3.38 tff(14030,plain,
% 3.13/3.38 (~r(z, s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[1930, 14029, 13965, 59])).
% 3.13/3.38 tff(14031,plain,
% 3.13/3.38 (b(z, s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[88, 14030])).
% 3.13/3.38 tff(14032,assumption,(elem!1 = z), introduced(assumption)).
% 3.13/3.38 tff(14033,plain,
% 3.13/3.38 (b(s(s(s(s(s(z))))), elem!1) <=> b(s(s(s(s(s(z))))), z)),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14032])).
% 3.13/3.38 tff(14034,plain,
% 3.13/3.38 (b(s(s(s(s(s(z))))), z) <=> b(s(s(s(s(s(z))))), elem!1)),
% 3.13/3.38 inference(symmetry,[status(thm)],[14033])).
% 3.13/3.38 tff(14035,plain,
% 3.13/3.38 (b(s(s(s(s(s(z))))), elem!1)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[7981, 14034])).
% 3.13/3.38 tff(14036,plain,
% 3.13/3.38 (b(elem!1, s(s(s(s(s(z)))))) <=> b(z, s(s(s(s(s(z))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14032])).
% 3.13/3.38 tff(14037,plain,
% 3.13/3.38 (b(z, s(s(s(s(s(z)))))) <=> b(elem!1, s(s(s(s(s(z))))))),
% 3.13/3.38 inference(symmetry,[status(thm)],[14036])).
% 3.13/3.38 tff(14038,plain,
% 3.13/3.38 (b(elem!1, s(s(s(s(s(z))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[13222, 14037])).
% 3.13/3.38 tff(14039,plain,
% 3.13/3.38 (b(elem!1, s(z)) <=> b(z, s(z))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14032])).
% 3.13/3.38 tff(14040,plain,
% 3.13/3.38 (b(z, s(z)) <=> b(elem!1, s(z))),
% 3.13/3.38 inference(symmetry,[status(thm)],[14039])).
% 3.13/3.38 tff(14041,plain,
% 3.13/3.38 (b(elem!1, s(z))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[382, 14040])).
% 3.13/3.38 tff(14042,assumption,(b(elem!1, s(z))), introduced(assumption)).
% 3.13/3.38 tff(14043,assumption,(b(s(s(s(s(s(z))))), elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14044,assumption,(b(elem!1, s(s(s(s(s(z))))))), introduced(assumption)).
% 3.13/3.38 tff(14045,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14046,plain,
% 3.13/3.38 (((~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(z)))) <=> ((~b(elem!1, s(z))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14047,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(z))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14046])).
% 3.13/3.38 tff(14048,plain,
% 3.13/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z))))))))),
% 3.13/3.38 inference(transitivity,[status(thm)],[14047, 14045])).
% 3.13/3.38 tff(14049,plain,
% 3.13/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, s(z))))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14050,plain,
% 3.13/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, s(z))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(z), s(s(s(s(s(z)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 3.13/3.38 tff(14051,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14050, 102, 14044, 14043, 91, 14042])).
% 3.13/3.38 tff(14052,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), elem!1)) | (~b(elem!1, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14053,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14052, 14041, 14038, 91, 14035])).
% 3.13/3.38 tff(14054,plain,((~(elem!1 = z)) | (~b(s(z), s(s(s(s(s(z))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14055,plain,
% 3.13/3.38 (~(elem!1 = z)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14054, 14031, 13974])).
% 3.13/3.38 tff(14056,plain,
% 3.13/3.38 ((z = elem!1) <=> (elem!1 = z)),
% 3.13/3.38 inference(commutativity,[status(thm)],[])).
% 3.13/3.38 tff(14057,assumption,(z = elem!1), introduced(assumption)).
% 3.13/3.38 tff(14058,plain,
% 3.13/3.38 (elem!1 = z),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14057, 14056])).
% 3.13/3.38 tff(14059,assumption,(~(elem!1 = z)), introduced(assumption)).
% 3.13/3.38 tff(14060,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14059, 14058])).
% 3.13/3.38 tff(14061,plain,((~(z = elem!1)) | (elem!1 = z)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14062,plain,
% 3.13/3.38 (~(z = elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14061, 14055])).
% 3.13/3.38 tff(14063,plain,
% 3.13/3.38 (((~![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))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14064,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = elem!1) | b(z, elem!1) | r(z, elem!1))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14065,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = elem!1) | b(z, elem!1) | r(z, elem!1)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 3.13/3.38 tff(14066,plain,
% 3.13/3.38 ((z = elem!1) | b(z, elem!1) | r(z, elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14065, 49])).
% 3.13/3.38 tff(14067,plain,
% 3.13/3.38 (r(z, elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14066, 14062, 14007])).
% 3.13/3.38 tff(14068,plain,
% 3.13/3.38 (~r(s(s(z)), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[3094, 67, 13972, 3])).
% 3.13/3.38 tff(14069,plain,
% 3.13/3.38 (b(s(s(z)), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[195, 14068])).
% 3.13/3.38 tff(14070,plain,
% 3.13/3.38 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[5363, 14069, 13832, 13978])).
% 3.13/3.38 tff(14071,assumption,(s(s(s(s(s(s(z)))))) = elem!1), introduced(assumption)).
% 3.13/3.38 tff(14072,plain,
% 3.13/3.38 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z))))))) <=> r(s(s(s(s(s(z))))), elem!1)),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14071])).
% 3.13/3.38 tff(14073,plain,
% 3.13/3.38 (r(s(s(s(s(s(z))))), elem!1)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[305, 14072])).
% 3.13/3.38 tff(14074,assumption,(elem!1 = s(z)), introduced(assumption)).
% 3.13/3.38 tff(14075,plain,
% 3.13/3.38 (s(s(s(s(s(s(z)))))) = s(z)),
% 3.13/3.38 inference(transitivity,[status(thm)],[14071, 14074])).
% 3.13/3.38 tff(14076,plain,
% 3.13/3.38 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(z))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14075])).
% 3.13/3.38 tff(14077,plain,
% 3.13/3.38 (s(s(s(s(s(z))))) = z),
% 3.13/3.38 inference(transitivity,[status(thm)],[151, 14076, 146])).
% 3.13/3.38 tff(14078,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[154, 14077])).
% 3.13/3.38 tff(14079,plain,((~(s(s(s(s(s(s(z)))))) = elem!1)) | (~(elem!1 = s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14080,plain,
% 3.13/3.38 (~(elem!1 = s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14079, 14071])).
% 3.13/3.38 tff(14081,plain,
% 3.13/3.38 (elem!1 = s(s(s(s(s(s(z))))))),
% 3.13/3.38 inference(symmetry,[status(thm)],[14071])).
% 3.13/3.38 tff(14082,plain,
% 3.13/3.38 (b(elem!1, s(z)) <=> b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14081])).
% 3.13/3.38 tff(14083,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(z)))))), s(z)) <=> b(elem!1, s(z))),
% 3.13/3.38 inference(symmetry,[status(thm)],[14082])).
% 3.13/3.38 tff(14084,plain,
% 3.13/3.38 ((~b(s(s(s(s(s(s(z)))))), s(z))) <=> (~b(elem!1, s(z)))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14083])).
% 3.13/3.38 tff(14085,plain,
% 3.13/3.38 (~b(elem!1, s(z))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[404, 14084])).
% 3.13/3.38 tff(14086,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14042, 14085])).
% 3.13/3.38 tff(14087,plain,((~b(elem!1, s(z))) | b(s(s(s(s(s(s(z)))))), s(z)) | (~(s(s(s(s(s(s(z)))))) = elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14088,plain,
% 3.13/3.38 (~b(elem!1, s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14087, 14071, 404])).
% 3.13/3.38 tff(14089,assumption,(~b(elem!1, s(z))), introduced(assumption)).
% 3.13/3.38 tff(14090,assumption,(~(elem!1 = s(z))), introduced(assumption)).
% 3.13/3.38 tff(14091,assumption,(~r(elem!1, s(z))), introduced(assumption)).
% 3.13/3.38 tff(14092,plain,
% 3.13/3.38 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z)))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14093,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z)))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14094,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(z)) | b(elem!1, s(z)) | r(elem!1, s(z))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14093, 14092])).
% 3.13/3.38 tff(14095,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14094, 49, 14091, 14090, 14089])).
% 3.13/3.38 tff(14096,plain,(r(elem!1, s(z)) | (elem!1 = s(z)) | b(elem!1, s(z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14097,plain,
% 3.13/3.38 (r(elem!1, s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14096, 14088, 14080])).
% 3.13/3.38 tff(14098,plain,
% 3.13/3.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~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(elem!1, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14099,plain,
% 3.13/3.38 (((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), elem!1))) <=> ((~r(elem!1, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14100,plain,
% 3.13/3.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(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(elem!1, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14099])).
% 3.13/3.38 tff(14101,plain,
% 3.13/3.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(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(elem!1, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.13/3.38 inference(transitivity,[status(thm)],[14100, 14098])).
% 3.13/3.38 tff(14102,plain,
% 3.13/3.38 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(elem!1, s(z))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), elem!1)))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14103,plain,
% 3.13/3.38 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(z))) | (~r(s(z), s(s(z)))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(s(s(s(s(z))))), s(s(z))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14102, 14101])).
% 3.13/3.38 tff(14104,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14103, 17, 14097, 780, 67, 3, 14073])).
% 3.13/3.38 tff(14105,plain,((~(s(s(s(s(s(s(z)))))) = elem!1)) | (~r(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(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(s(s(z)))))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14106,plain,
% 3.13/3.38 (~(s(s(s(s(s(s(z)))))) = elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14105, 14070, 67, 305, 3, 13972])).
% 3.13/3.38 tff(14107,assumption,(~r(s(s(s(s(s(s(z)))))), elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14108,plain,
% 3.13/3.38 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = elem!1) | b(s(s(s(s(s(s(z)))))), elem!1) | r(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(z)))))) = elem!1) | b(s(s(s(s(s(s(z)))))), elem!1) | r(s(s(s(s(s(s(z)))))), elem!1))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14109,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(z)))))) = elem!1) | b(s(s(s(s(s(s(z)))))), elem!1) | r(s(s(s(s(s(s(z)))))), elem!1))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14110,plain,
% 3.13/3.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(z)))))) = elem!1) | b(s(s(s(s(s(s(z)))))), elem!1) | r(s(s(s(s(s(s(z)))))), elem!1)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 3.13/3.38 tff(14111,plain,
% 3.13/3.38 ((s(s(s(s(s(s(z)))))) = elem!1) | b(s(s(s(s(s(s(z)))))), elem!1) | r(s(s(s(s(s(s(z)))))), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14110, 49])).
% 3.13/3.38 tff(14112,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(z)))))), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14111, 14107, 14106])).
% 3.13/3.38 tff(14113,assumption,(~(elem!1 = s(s(s(s(s(z))))))), introduced(assumption)).
% 3.13/3.38 tff(14114,plain,
% 3.13/3.38 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[409, 14070])).
% 3.13/3.38 tff(14115,plain,
% 3.13/3.38 (~r(z, s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[1930, 14114, 13965, 59])).
% 3.13/3.38 tff(14116,plain,
% 3.13/3.38 (b(z, s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[88, 14115])).
% 3.13/3.38 tff(14117,plain,
% 3.13/3.38 (~(elem!1 = z)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14054, 14116, 13974])).
% 3.13/3.38 tff(14118,assumption,(r(z, elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14119,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(z)))))), elem!1) <=> b(s(s(s(s(s(s(z)))))), s(z))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14074])).
% 3.13/3.38 tff(14120,plain,
% 3.13/3.38 (b(s(s(s(s(s(s(z)))))), s(z)) <=> b(s(s(s(s(s(s(z)))))), elem!1)),
% 3.13/3.38 inference(symmetry,[status(thm)],[14119])).
% 3.13/3.38 tff(14121,plain,
% 3.13/3.38 ((~b(s(s(s(s(s(s(z)))))), s(z))) <=> (~b(s(s(s(s(s(s(z)))))), elem!1))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14120])).
% 3.13/3.38 tff(14122,plain,
% 3.13/3.38 (~b(s(s(s(s(s(s(z)))))), elem!1)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[404, 14121])).
% 3.13/3.38 tff(14123,assumption,(b(s(s(s(s(s(s(z)))))), elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14124,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14123, 14122])).
% 3.13/3.38 tff(14125,plain,((~(elem!1 = s(z))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | b(s(s(s(s(s(s(z)))))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14126,plain,
% 3.13/3.38 (~(elem!1 = s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14125, 14112, 14070])).
% 3.13/3.38 tff(14127,plain,
% 3.13/3.38 ((s(z) = elem!1) <=> (elem!1 = s(z))),
% 3.13/3.38 inference(commutativity,[status(thm)],[])).
% 3.13/3.38 tff(14128,assumption,(s(z) = elem!1), introduced(assumption)).
% 3.13/3.38 tff(14129,plain,
% 3.13/3.38 (elem!1 = s(z)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 3.13/3.38 tff(14130,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14090, 14129])).
% 3.13/3.38 tff(14131,plain,((~(s(z) = elem!1)) | (elem!1 = s(z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14132,plain,
% 3.13/3.38 (~(s(z) = elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14131, 14126])).
% 3.13/3.38 tff(14133,assumption,(~(s(z) = elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14134,assumption,(s(s(z)) = elem!1), introduced(assumption)).
% 3.13/3.38 tff(14135,plain,
% 3.13/3.38 ((elem!1 = s(s(z))) <=> (s(s(z)) = elem!1)),
% 3.13/3.38 inference(commutativity,[status(thm)],[])).
% 3.13/3.38 tff(14136,plain,
% 3.13/3.38 ((s(s(z)) = elem!1) <=> (elem!1 = s(s(z)))),
% 3.13/3.38 inference(symmetry,[status(thm)],[14135])).
% 3.13/3.38 tff(14137,plain,
% 3.13/3.38 (elem!1 = s(s(z))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14134, 14136])).
% 3.13/3.38 tff(14138,assumption,(~(elem!1 = s(s(z)))), introduced(assumption)).
% 3.13/3.38 tff(14139,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14138, 14137])).
% 3.13/3.38 tff(14140,plain,((~(s(s(z)) = elem!1)) | (elem!1 = s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14141,plain,
% 3.13/3.38 (elem!1 = s(s(z))),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14140, 14134])).
% 3.13/3.38 tff(14142,assumption,(elem!1 = s(s(z))), introduced(assumption)).
% 3.13/3.38 tff(14143,plain,
% 3.13/3.38 (b(s(z), elem!1) <=> b(s(z), s(s(z)))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14142])).
% 3.13/3.38 tff(14144,assumption,(b(s(z), elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14145,plain,
% 3.13/3.38 (b(s(z), s(s(z)))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14144, 14143])).
% 3.13/3.38 tff(14146,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[692, 14145])).
% 3.13/3.38 tff(14147,plain,((~b(s(z), elem!1)) | b(s(z), s(s(z))) | (~(elem!1 = s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14148,plain,
% 3.13/3.38 (~b(s(z), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14147, 14141, 692])).
% 3.13/3.38 tff(14149,plain,
% 3.13/3.38 (((~![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))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14150,plain,
% 3.13/3.38 ((~![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))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14151,plain,
% 3.13/3.38 ((~![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)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14150, 14149])).
% 3.13/3.38 tff(14152,plain,
% 3.13/3.38 ((s(z) = elem!1) | b(s(z), elem!1) | r(s(z), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14151, 49])).
% 3.13/3.38 tff(14153,plain,
% 3.13/3.38 (r(s(z), elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14152, 14148, 14133])).
% 3.13/3.38 tff(14154,plain,
% 3.13/3.38 (r(s(s(z)), s(s(s(s(s(s(z))))))) <=> r(elem!1, s(s(s(s(s(s(z)))))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14134])).
% 3.13/3.38 tff(14155,plain,
% 3.13/3.38 (r(elem!1, s(s(s(s(s(s(z)))))))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[62, 14154])).
% 3.13/3.38 tff(14156,plain,
% 3.13/3.38 (r(s(s(s(s(s(z))))), s(s(z))) <=> r(s(s(s(s(s(z))))), elem!1)),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14134])).
% 3.13/3.38 tff(14157,plain,
% 3.13/3.38 (r(s(s(s(s(s(z))))), elem!1)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[3, 14156])).
% 3.13/3.38 tff(14158,plain,
% 3.13/3.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(elem!1, 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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1)))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14159,plain,
% 3.13/3.38 (((~r(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(z), elem!1)) | (~r(s(s(s(s(s(z))))), 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(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1)))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14160,plain,
% 3.13/3.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(z), elem!1)) | (~r(s(s(s(s(s(z))))), elem!1)) | (~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))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1))))),
% 3.13/3.38 inference(monotonicity,[status(thm)],[14159])).
% 3.13/3.38 tff(14161,plain,
% 3.13/3.38 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(z), elem!1)) | (~r(s(s(s(s(s(z))))), elem!1)) | (~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))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1)))),
% 3.13/3.38 inference(transitivity,[status(thm)],[14160, 14158])).
% 3.13/3.38 tff(14162,plain,
% 3.13/3.38 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(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(z), elem!1)) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14163,plain,
% 3.13/3.38 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), elem!1)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(z), elem!1))),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 3.13/3.38 tff(14164,plain,
% 3.13/3.38 ($false),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14163, 17, 67, 14157, 14155, 305, 14153])).
% 3.13/3.38 tff(14165,plain,((~(s(s(z)) = 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(z)), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (s(z) = elem!1) | b(s(z), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.38 tff(14166,plain,
% 3.13/3.38 (~(s(s(z)) = elem!1)),
% 3.13/3.38 inference(unit_resolution,[status(thm)],[14165, 14132, 305, 13971, 3, 67, 692])).
% 3.13/3.38 tff(14167,assumption,(~b(s(s(z)), elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14168,assumption,(~(s(s(z)) = elem!1)), introduced(assumption)).
% 3.13/3.38 tff(14169,plain,
% 3.13/3.38 (((~![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))),
% 3.13/3.38 inference(rewrite,[status(thm)],[])).
% 3.13/3.38 tff(14170,plain,
% 3.13/3.38 ((~![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))),
% 3.13/3.38 inference(quant_inst,[status(thm)],[])).
% 3.13/3.38 tff(14171,plain,
% 3.13/3.38 ((~![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)),
% 3.13/3.38 inference(modus_ponens,[status(thm)],[14170, 14169])).
% 3.13/3.38 tff(14172,plain,
% 3.13/3.38 ((s(s(z)) = elem!1) | b(s(s(z)), elem!1) | r(s(s(z)), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14171, 49])).
% 3.13/3.39 tff(14173,plain,
% 3.13/3.39 (r(s(s(z)), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14172, 14168, 14167])).
% 3.13/3.39 tff(14174,assumption,(r(elem!1, s(s(s(s(s(z))))))), introduced(assumption)).
% 3.13/3.39 tff(14175,assumption,(r(s(s(z)), elem!1)), introduced(assumption)).
% 3.13/3.39 tff(14176,plain,
% 3.13/3.39 (((~![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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1)) | (~r(elem!1, 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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1)) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14177,plain,
% 3.13/3.39 (((~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(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1))) <=> ((~r(s(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(z)), elem!1)) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14178,plain,
% 3.13/3.39 (((~![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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1)) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[14177])).
% 3.13/3.39 tff(14179,plain,
% 3.13/3.39 (((~![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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1)) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))))),
% 3.13/3.39 inference(transitivity,[status(thm)],[14178, 14176])).
% 3.13/3.39 tff(14180,plain,
% 3.13/3.39 ((~![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(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1)))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14181,plain,
% 3.13/3.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1)) | (~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14180, 14179])).
% 3.13/3.39 tff(14182,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14181, 17, 14175, 14174, 235, 62, 305])).
% 3.13/3.39 tff(14183,plain,((~r(elem!1, s(s(s(s(s(z))))))) | (~r(s(s(z)), elem!1)) | (~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(z))))), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(14184,plain,
% 3.13/3.39 (~r(elem!1, s(s(s(s(s(z))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14183, 14173, 235, 62, 305])).
% 3.13/3.39 tff(14185,plain,
% 3.13/3.39 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(s(z)))))) | b(elem!1, s(s(s(s(s(z)))))) | r(elem!1, 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(z)))))) | b(elem!1, s(s(s(s(s(z)))))) | r(elem!1, s(s(s(s(s(z)))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14186,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = s(s(s(s(s(z)))))) | b(elem!1, s(s(s(s(s(z)))))) | r(elem!1, s(s(s(s(s(z)))))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14187,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = s(s(s(s(s(z)))))) | b(elem!1, s(s(s(s(s(z)))))) | r(elem!1, s(s(s(s(s(z))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 3.13/3.39 tff(14188,plain,
% 3.13/3.39 ((elem!1 = s(s(s(s(s(z)))))) | b(elem!1, s(s(s(s(s(z)))))) | r(elem!1, s(s(s(s(s(z))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14187, 49])).
% 3.13/3.39 tff(14189,plain,
% 3.13/3.39 (b(elem!1, s(s(s(s(s(z))))))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14188, 14184, 14113])).
% 3.13/3.39 tff(14190,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(elem!1, s(s(s(s(s(z))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(elem!1, s(s(s(s(s(z))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14191,plain,
% 3.13/3.39 (((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z))) <=> ((~b(elem!1, z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(elem!1, s(s(s(s(s(z))))))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14192,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(elem!1, s(s(s(s(s(z)))))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[14191])).
% 3.13/3.39 tff(14193,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(elem!1, s(s(s(s(s(z))))))))),
% 3.13/3.39 inference(transitivity,[status(thm)],[14192, 14190])).
% 3.13/3.39 tff(14194,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, s(s(s(s(s(z))))))) | (~b(elem!1, z)))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14195,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(elem!1, s(s(s(s(s(z)))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 3.13/3.39 tff(14196,plain,
% 3.13/3.39 (~b(elem!1, z)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14195, 102, 14189, 13222, 7981])).
% 3.13/3.39 tff(14197,plain,
% 3.13/3.39 (((~![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))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14198,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((elem!1 = z) | b(elem!1, z) | r(elem!1, z))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14199,plain,
% 3.13/3.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (elem!1 = z) | b(elem!1, z) | r(elem!1, z)),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 3.13/3.39 tff(14200,plain,
% 3.13/3.39 ((elem!1 = z) | b(elem!1, z) | r(elem!1, z)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14199, 49])).
% 3.13/3.39 tff(14201,plain,
% 3.13/3.39 (r(elem!1, z)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14200, 14196, 14059])).
% 3.13/3.39 tff(14202,assumption,(r(s(z), elem!1)), introduced(assumption)).
% 3.13/3.39 tff(14203,assumption,(r(elem!1, z)), introduced(assumption)).
% 3.13/3.39 tff(14204,plain,
% 3.13/3.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, elem!1)) | (~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(elem!1, z)) | (~r(z, elem!1)) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14205,plain,
% 3.13/3.39 (((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(elem!1, z)) | (~r(s(z), z)) | (~r(s(z), elem!1))) <=> ((~r(elem!1, z)) | (~r(z, elem!1)) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14206,plain,
% 3.13/3.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(elem!1, 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(elem!1, z)) | (~r(z, elem!1)) | (~r(s(z), z)) | (~r(s(z), elem!1))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[14205])).
% 3.13/3.39 tff(14207,plain,
% 3.13/3.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(elem!1, 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(elem!1, z)) | (~r(z, elem!1)) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 3.13/3.39 inference(transitivity,[status(thm)],[14206, 14204])).
% 3.13/3.39 tff(14208,plain,
% 3.13/3.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, elem!1)) | (~r(s(z), elem!1)) | (~r(elem!1, z)) | (~r(s(z), z)) | (~r(s(z), elem!1)))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14209,plain,
% 3.13/3.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, elem!1)) | (~r(s(z), z)) | (~r(s(z), elem!1))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14208, 14207])).
% 3.13/3.39 tff(14210,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14209, 17, 14203, 14118, 59, 14202])).
% 3.13/3.39 tff(14211,plain,((~r(s(z), elem!1)) | (~r(elem!1, z)) | (~r(z, elem!1)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(14212,plain,
% 3.13/3.39 (~r(s(z), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14211, 14201, 59, 14118])).
% 3.13/3.39 tff(14213,plain,
% 3.13/3.39 (b(s(z), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14152, 14212, 14133])).
% 3.13/3.39 tff(14214,plain,
% 3.13/3.39 (s(s(z)) = elem!1),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14142, 14135])).
% 3.13/3.39 tff(14215,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14168, 14214])).
% 3.13/3.39 tff(14216,plain,((~(elem!1 = s(s(z)))) | (s(s(z)) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(14217,plain,
% 3.13/3.39 (~(elem!1 = s(s(z)))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14216, 14168])).
% 3.13/3.39 tff(14218,assumption,(r(elem!1, s(s(z)))), introduced(assumption)).
% 3.13/3.39 tff(14219,plain,
% 3.13/3.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(z, elem!1)) | (~r(s(s(z)), 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(elem!1, s(s(z)))) | (~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(z, s(s(z)))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14220,plain,
% 3.13/3.39 (((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(z))))) <=> ((~r(elem!1, s(s(z)))) | (~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(z, s(s(z)))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14221,plain,
% 3.13/3.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), elem!1)) | (~r(z, 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(elem!1, s(s(z)))) | (~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(z, s(s(z))))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[14220])).
% 3.13/3.39 tff(14222,plain,
% 3.13/3.39 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), elem!1)) | (~r(z, 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(elem!1, s(s(z)))) | (~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(z, s(s(z)))))),
% 3.13/3.39 inference(transitivity,[status(thm)],[14221, 14219])).
% 3.13/3.39 tff(14223,plain,
% 3.13/3.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, s(s(z)))) | (~r(z, s(s(z)))) | (~r(s(s(z)), elem!1)) | (~r(z, elem!1)) | (~r(z, s(s(z)))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14224,plain,
% 3.13/3.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, s(s(z)))) | (~r(z, elem!1)) | (~r(s(s(z)), elem!1)) | (~r(z, s(s(z))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 3.13/3.39 tff(14225,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14224, 17, 14118, 14175, 14218, 2])).
% 3.13/3.39 tff(14226,plain,((~r(s(s(z)), elem!1)) | (~r(z, elem!1)) | (~r(elem!1, s(s(z)))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(14227,plain,
% 3.13/3.39 (~r(elem!1, s(s(z)))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14226, 14173, 2, 14118])).
% 3.13/3.39 tff(14228,plain,
% 3.13/3.39 (((~![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))))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14229,plain,
% 3.13/3.39 ((~![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))))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14230,plain,
% 3.13/3.39 ((~![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)))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 3.13/3.39 tff(14231,plain,
% 3.13/3.39 ((elem!1 = s(s(z))) | b(elem!1, s(s(z))) | r(elem!1, s(s(z)))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14230, 49])).
% 3.13/3.39 tff(14232,plain,
% 3.13/3.39 (b(elem!1, s(s(z)))),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14231, 14227, 14217])).
% 3.13/3.39 tff(14233,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14234,plain,
% 3.13/3.39 (((~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1))) <=> ((~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 3.13/3.39 inference(rewrite,[status(thm)],[])).
% 3.13/3.39 tff(14235,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1))))),
% 3.13/3.39 inference(monotonicity,[status(thm)],[14234])).
% 3.13/3.39 tff(14236,plain,
% 3.13/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 3.13/3.39 inference(transitivity,[status(thm)],[14235, 14233])).
% 3.13/3.39 tff(14237,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1)))),
% 3.13/3.39 inference(quant_inst,[status(thm)],[])).
% 3.13/3.39 tff(14238,plain,
% 3.13/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(elem!1, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 3.13/3.39 tff(14239,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14238, 102, 14232, 14123, 498, 168, 14213])).
% 3.13/3.39 tff(14240,plain,((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(z)))) | (~b(s(s(z)), s(z))) | (s(z) = elem!1) | (~r(s(z), z)) | (~r(z, elem!1)) | (elem!1 = z) | (elem!1 = 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(z))))), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | b(s(s(z)), elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(14241,plain,
% 3.13/3.39 (b(s(s(z)), elem!1)),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[14240, 14166, 13832, 14069, 14132, 59, 14118, 14117, 14113, 13969, 13971, 305, 2, 14112])).
% 3.13/3.39 tff(14242,assumption,(~r(elem!1, s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 3.13/3.39 tff(14243,assumption,(b(s(s(z)), elem!1)), introduced(assumption)).
% 3.13/3.39 tff(14244,plain,
% 3.13/3.39 (b(s(s(z)), s(s(s(s(s(s(z))))))) <=> b(s(s(z)), elem!1)),
% 3.13/3.39 inference(monotonicity,[status(thm)],[14071])).
% 3.13/3.39 tff(14245,plain,
% 3.13/3.39 (b(s(s(z)), elem!1) <=> b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.39 inference(symmetry,[status(thm)],[14244])).
% 3.13/3.39 tff(14246,plain,
% 3.13/3.39 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.13/3.39 inference(modus_ponens,[status(thm)],[14243, 14245])).
% 3.13/3.39 tff(14247,plain,
% 3.13/3.39 ($false),
% 3.13/3.39 inference(unit_resolution,[status(thm)],[13970, 14246])).
% 3.13/3.39 tff(14248,plain,((~(s(s(s(s(s(s(z)))))) = elem!1)) | b(s(s(z)), s(s(s(s(s(s(z))))))) | (~b(s(s(z)), elem!1))), inference(lemma,lemma(discharge,[]))).
% 3.13/3.39 tff(14249,plain,
% 3.13/3.39 (~(s(s(s(s(s(s(z)))))) = elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14248, 14243, 13970])).
% 3.23/3.40 tff(14250,plain,
% 3.23/3.40 ((elem!1 = s(s(s(s(s(s(z))))))) <=> (s(s(s(s(s(s(z)))))) = elem!1)),
% 3.23/3.40 inference(commutativity,[status(thm)],[])).
% 3.23/3.40 tff(14251,assumption,(elem!1 = s(s(s(s(s(s(z))))))), introduced(assumption)).
% 3.23/3.40 tff(14252,plain,
% 3.23/3.40 (s(s(s(s(s(s(z)))))) = elem!1),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[14251, 14250])).
% 3.23/3.40 tff(14253,assumption,(~(s(s(s(s(s(s(z)))))) = elem!1)), introduced(assumption)).
% 3.23/3.40 tff(14254,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14253, 14252])).
% 3.23/3.40 tff(14255,plain,((~(elem!1 = s(s(s(s(s(s(z)))))))) | (s(s(s(s(s(s(z)))))) = elem!1)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(14256,plain,
% 3.23/3.40 (~(elem!1 = s(s(s(s(s(s(z)))))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14255, 14249])).
% 3.23/3.40 tff(14257,plain,
% 3.23/3.40 (((~![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))))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14258,plain,
% 3.23/3.40 ((~![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))))))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(14259,plain,
% 3.23/3.40 ((~![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)))))))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 3.23/3.40 tff(14260,plain,
% 3.23/3.40 ((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)))))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14259, 49])).
% 3.23/3.40 tff(14261,plain,
% 3.23/3.40 (b(elem!1, s(s(s(s(s(s(z)))))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14260, 14256, 14242])).
% 3.23/3.40 tff(14262,plain,
% 3.23/3.40 (b(s(s(s(s(s(s(z)))))), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14111, 14249, 14107])).
% 3.23/3.40 tff(14263,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14264,plain,
% 3.23/3.40 (((~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(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(z))))) <=> ((~b(s(s(z)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14265,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z))))))))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[14264])).
% 3.23/3.40 tff(14266,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(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(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.23/3.40 inference(transitivity,[status(thm)],[14265, 14263])).
% 3.23/3.40 tff(14267,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z)))))))) | (~b(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(z)))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(14268,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), elem!1)) | (~b(elem!1, s(s(s(s(s(s(z))))))))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 3.23/3.40 tff(14269,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14268, 102, 14243, 14262, 498, 14261])).
% 3.23/3.40 tff(14270,plain,((~b(s(s(z)), elem!1)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | r(elem!1, s(s(s(s(s(s(z))))))) | r(s(s(s(s(s(s(z)))))), elem!1) | b(s(s(z)), s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(14271,plain,
% 3.23/3.40 (r(elem!1, s(s(s(s(s(s(z)))))))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14270, 14241, 13832, 14107, 13970])).
% 3.23/3.40 tff(14272,plain,
% 3.23/3.40 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(elem!1, z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), 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(elem!1, z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14273,plain,
% 3.23/3.40 (((~r(z, s(s(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(s(s(s(z))))))))) <=> ((~r(elem!1, z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14274,plain,
% 3.23/3.40 (((~![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(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, 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(elem!1, z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z))))))))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[14273])).
% 3.23/3.40 tff(14275,plain,
% 3.23/3.40 (((~![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(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, 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(elem!1, z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.23/3.40 inference(transitivity,[status(thm)],[14274, 14272])).
% 3.23/3.40 tff(14276,plain,
% 3.23/3.40 ((~![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(s(s(s(s(z)))))))) | (~r(elem!1, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, z)) | (~r(elem!1, s(s(s(s(s(s(z)))))))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(14277,plain,
% 3.23/3.40 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(elem!1, z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(elem!1, s(s(s(s(s(s(z))))))))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[14276, 14275])).
% 3.23/3.40 tff(14278,plain,
% 3.23/3.40 (~r(elem!1, z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14277, 17, 13965, 1, 14271])).
% 3.23/3.40 tff(14279,plain,
% 3.23/3.40 (b(elem!1, z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14200, 14278, 14117])).
% 3.23/3.40 tff(14280,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14281,plain,
% 3.23/3.40 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1))) <=> ((~b(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14282,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[14281])).
% 3.23/3.40 tff(14283,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.23/3.40 inference(transitivity,[status(thm)],[14282, 14280])).
% 3.23/3.40 tff(14284,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(14285,plain,
% 3.23/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(elem!1, z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), elem!1)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[14284, 14283])).
% 3.23/3.40 tff(14286,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14285, 102, 14279, 14241, 13222, 7981, 56])).
% 3.23/3.40 tff(14287,plain,(r(s(s(s(s(s(s(z)))))), elem!1) | (~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | b(s(s(z)), s(s(s(s(s(s(z))))))) | (~r(s(z), z)) | (~r(z, elem!1)) | (elem!1 = 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))))), s(z))) | b(s(z), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(14288,plain,
% 3.23/3.40 (r(s(s(s(s(s(s(z)))))), elem!1)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14287, 59, 1, 13970, 56, 14067, 14025, 13980, 2, 3, 13976, 692])).
% 3.23/3.40 tff(14289,plain,
% 3.23/3.40 (((~![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, elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(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, elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14290,plain,
% 3.23/3.40 (((~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(z, elem!1)) | (~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, elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14291,plain,
% 3.23/3.40 (((~![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(s(z)))))), elem!1)) | (~r(z, elem!1)) | (~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, elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))))),
% 3.23/3.40 inference(monotonicity,[status(thm)],[14290])).
% 3.23/3.40 tff(14292,plain,
% 3.23/3.40 (((~![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(s(z)))))), elem!1)) | (~r(z, elem!1)) | (~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, elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))))),
% 3.23/3.40 inference(transitivity,[status(thm)],[14291, 14289])).
% 3.23/3.40 tff(14293,plain,
% 3.23/3.40 ((~![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(s(z)))))), elem!1)) | (~r(z, elem!1)) | (~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)))))),
% 3.23/3.40 inference(quant_inst,[status(thm)],[])).
% 3.23/3.40 tff(14294,plain,
% 3.23/3.40 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, elem!1)) | (~r(s(s(s(s(s(s(z)))))), elem!1)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z))))),
% 3.23/3.40 inference(modus_ponens,[status(thm)],[14293, 14292])).
% 3.23/3.40 tff(14295,plain,
% 3.23/3.40 ($false),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14294, 17, 14067, 14288, 2, 1, 13971])).
% 3.23/3.40 tff(14296,plain,((~r(s(z), z)) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z)))))))) | b(s(s(z)), s(s(s(s(s(s(z))))))) | (~b(s(s(z)), z)) | (~r(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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.40 tff(14297,plain,
% 3.23/3.40 (~r(s(z), z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[14296, 692, 1, 13970, 56, 3, 2, 364])).
% 3.23/3.40 tff(14298,plain,
% 3.23/3.40 (b(s(z), z)),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[380, 14297])).
% 3.23/3.40 tff(14299,plain,
% 3.23/3.40 (~r(s(s(z)), s(z))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[13914, 14298, 2, 13972, 3])).
% 3.23/3.40 tff(14300,plain,
% 3.23/3.40 (b(s(s(z)), s(z))),
% 3.23/3.40 inference(unit_resolution,[status(thm)],[195, 14299])).
% 3.23/3.40 tff(14301,plain,
% 3.23/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.23/3.40 inference(rewrite,[status(thm)],[])).
% 3.23/3.40 tff(14302,plain,
% 3.23/3.41 (((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z)))) <=> ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(14303,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[14302])).
% 3.23/3.41 tff(14304,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)))),
% 3.23/3.41 inference(transitivity,[status(thm)],[14303, 14301])).
% 3.23/3.41 tff(14305,plain,
% 3.23/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z), z)) | (~b(s(s(z)), z)) | (~b(s(s(z)), s(z))))),
% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(14306,plain,
% 3.23/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), z)) | (~b(s(s(z)), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[14305, 14304])).
% 3.23/3.41 tff(14307,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14306, 102, 13222, 7981, 56, 14300, 14298])).
% 3.23/3.41 tff(14308,plain,(b(s(z), s(s(z))) | (~b(s(s(z)), z)) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(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(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(14309,plain,
% 3.23/3.41 (b(s(z), s(s(z)))),
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[12727, 168, 13832, 92])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[409, 14312])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14315, 14309, 2, 13971, 1, 56])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[195, 14316])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[3887, 393, 235, 62, 234])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[3202, 14318])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[6958, 393, 1, 2, 62])).
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% 3.23/3.41 tff(14324,plain,
% 3.23/3.41 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14323, 14317, 2, 13971, 13969, 1])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[409, 14324])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[165, 14328])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[6958, 14331, 1, 2, 62])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[409, 14332])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[578, 14331, 1, 2, 234])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[165, 14334])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14337, 234, 1, 2, 60, 62, 56, 92])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[303, 14338])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[3785, 14339, 13969, 234])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[3202, 14340])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[288, 14339, 13969, 62, 234])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[165, 14342])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[1190, 14343, 14341, 364, 60])).
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% 3.23/3.41 tff(14346,plain,
% 3.23/3.41 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14345, 14317, 364, 13971, 1, 2, 56, 14309])).
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% 3.23/3.41 tff(14350,plain,
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14349, 14317, 13969, 13971, 14347])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[3202, 14350])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14353, 13970, 1, 2, 3, 56])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[3202, 14358])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[409, 14360])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[303, 14362])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14370, 14367, 56])).
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% 3.23/3.41 tff(14374,plain,
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[165, 14397])).
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% 3.23/3.41 tff(14403,plain,
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14402, 56, 1, 2, 3])).
% 3.23/3.41 tff(14404,plain,
% 3.23/3.41 (b(s(z), s(s(z)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[698, 14403])).
% 3.23/3.41 tff(14405,plain,
% 3.23/3.41 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2774, 14404, 13832, 14388])).
% 3.23/3.41 tff(14406,plain,
% 3.23/3.41 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[165, 14405])).
% 3.23/3.41 tff(14407,plain,
% 3.23/3.41 (~r(s(z), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1796, 14406, 1, 13965])).
% 3.23/3.41 tff(14408,plain,
% 3.23/3.41 (b(s(z), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[380, 14407])).
% 3.23/3.41 tff(14409,plain,
% 3.23/3.41 (~b(z, s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[4354, 14408, 56, 14404])).
% 3.23/3.41 tff(14410,plain,
% 3.23/3.41 (r(z, s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[88, 14409])).
% 3.23/3.41 tff(14411,plain,
% 3.23/3.41 (~b(s(s(z)), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14370, 14408, 56])).
% 3.23/3.41 tff(14412,plain,
% 3.23/3.41 (r(s(s(z)), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[195, 14411])).
% 3.23/3.41 tff(14413,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[578, 14412, 14410, 1, 2, 14406])).
% 3.23/3.41 tff(14414,plain,((~b(s(s(z)), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(z, s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(14415,plain,
% 3.23/3.41 (~b(s(s(z)), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14414, 3, 2, 1])).
% 3.23/3.41 tff(14416,plain,
% 3.23/3.41 (r(s(s(z)), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1392, 14415])).
% 3.23/3.41 tff(14417,plain,
% 3.23/3.41 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2713, 14416, 1, 13965])).
% 3.23/3.41 tff(14418,plain,
% 3.23/3.41 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[279, 14417])).
% 3.23/3.41 tff(14419,plain,
% 3.23/3.41 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2713, 65, 1, 63])).
% 3.23/3.41 tff(14420,plain,
% 3.23/3.41 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[279, 14419])).
% 3.23/3.41 tff(14421,plain,
% 3.23/3.41 (~r(s(z), s(s(z)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1419, 59, 2, 65])).
% 3.23/3.41 tff(14422,plain,
% 3.23/3.41 (b(s(z), s(s(z)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[698, 14421])).
% 3.23/3.41 tff(14423,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2774, 13268, 14422, 13832, 14420])).
% 3.23/3.41 tff(14424,plain,((~r(s(z), z)) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), z)) | (~r(z, s(s(z)))) | (~r(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(14425,plain,
% 3.23/3.41 (~r(s(z), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14424, 13965, 1, 2, 14416])).
% 3.23/3.41 tff(14426,plain,
% 3.23/3.41 (b(s(z), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[380, 14425])).
% 3.23/3.41 tff(14427,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[13626, 102, 13222, 7981, 91, 363])).
% 3.23/3.41 tff(14428,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(14429,plain,
% 3.23/3.41 (~b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14428, 14426])).
% 3.23/3.41 tff(14430,plain,
% 3.23/3.41 (r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3202, 14429])).
% 3.23/3.41 tff(14431,plain,
% 3.23/3.41 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3938, 780, 3, 14430])).
% 3.23/3.41 tff(14432,plain,
% 3.23/3.41 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[232, 14431])).
% 3.23/3.41 tff(14433,plain,
% 3.23/3.41 (~r(s(s(z)), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[13914, 780, 2, 14426, 3])).
% 3.23/3.41 tff(14434,plain,
% 3.23/3.41 (b(s(s(z)), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[195, 14433])).
% 3.23/3.41 tff(14435,plain,
% 3.23/3.41 (~b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14428, 363])).
% 3.23/3.41 tff(14436,plain,
% 3.23/3.41 (r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[3202, 14435])).
% 3.23/3.41 tff(14437,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[11036, 102, 498, 168, 254, 60, 197])).
% 3.23/3.41 tff(14438,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(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(14439,plain,
% 3.23/3.41 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14438, 197, 168, 14420, 13832])).
% 3.23/3.41 tff(14440,plain,
% 3.23/3.41 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[341, 14439])).
% 3.23/3.41 tff(14441,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[13957, 102, 13222, 7981, 343, 363])).
% 3.23/3.41 tff(14442,plain,((~b(s(s(s(s(s(z))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(14443,plain,
% 3.23/3.41 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14442, 363])).
% 3.23/3.41 tff(14444,plain,
% 3.23/3.41 (r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[303, 14443])).
% 3.23/3.41 tff(14445,plain,
% 3.23/3.41 (~b(s(z), s(s(z)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[12111, 14444, 13832, 14420, 14440])).
% 3.23/3.41 tff(14446,plain,
% 3.23/3.41 (r(s(z), s(s(z)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[698, 14445])).
% 3.23/3.41 tff(14447,plain,
% 3.23/3.41 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[10976, 14436, 13832, 14440, 14444, 168])).
% 3.23/3.41 tff(14448,plain,
% 3.23/3.41 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[361, 14447])).
% 3.23/3.41 tff(14449,plain,
% 3.23/3.41 (~b(z, s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[10728, 14448, 197, 14420, 168])).
% 3.23/3.41 tff(14450,plain,
% 3.23/3.41 (r(z, s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[88, 14449])).
% 3.23/3.41 tff(14451,plain,
% 3.23/3.41 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[13515, 17, 67, 2926, 61])).
% 3.23/3.41 tff(14452,plain,
% 3.23/3.41 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1555, 49, 1552, 14451])).
% 3.23/3.41 tff(14453,plain,
% 3.23/3.41 (((~![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), 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(z))))) <=> ((~![X0: $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(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(14454,plain,
% 3.23/3.41 (((~r(s(z), 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))))))) <=> ((~r(s(z), 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(z))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(14455,plain,
% 3.23/3.41 (((~![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), 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)))))))) <=> ((~![X0: $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(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[14454])).
% 3.23/3.41 tff(14456,plain,
% 3.23/3.41 (((~![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), 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)))))))) <=> ((~![X0: $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(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.23/3.41 inference(transitivity,[status(thm)],[14455, 14453])).
% 3.23/3.41 tff(14457,plain,
% 3.23/3.41 ((~![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), 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)))))))),
% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(14458,plain,
% 3.23/3.41 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))),
% 3.23/3.41 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 3.23/3.41 tff(14459,plain,
% 3.23/3.41 (~r(z, s(s(s(s(z)))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14458, 17, 780, 68, 2, 2926])).
% 3.23/3.41 tff(14460,plain,
% 3.23/3.41 (b(z, s(s(s(s(z)))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[54, 14459])).
% 3.23/3.41 tff(14461,plain,
% 3.23/3.41 ($false),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[13659, 102, 540, 4759, 14460, 14452])).
% 3.23/3.41 tff(14462,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.41 tff(14463,plain,
% 3.23/3.41 ((~r(s(s(s(s(z)))), 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(z))))))) | (~r(s(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14462, 7981])).
% 3.23/3.41 tff(14464,plain,
% 3.23/3.41 ((~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(z), s(s(z)))) | (~r(z, s(z))) | (~r(z, s(s(z))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14463, 13222])).
% 3.23/3.41 tff(14465,plain,
% 3.23/3.41 (~r(s(s(s(s(z)))), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[14464, 14450, 14444, 14446, 14436, 2])).
% 3.23/3.41 tff(14466,plain,
% 3.23/3.41 (b(s(s(s(s(z)))), s(z))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[1573, 14465])).
% 3.23/3.41 tff(14467,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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(z))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(14468,plain,
% 3.23/3.41 (((~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(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), 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(z))))),
% 3.23/3.41 inference(rewrite,[status(thm)],[])).
% 3.23/3.41 tff(14469,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), 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(z)))))),
% 3.23/3.41 inference(monotonicity,[status(thm)],[14468])).
% 3.23/3.41 tff(14470,plain,
% 3.23/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), 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(z))))),
% 3.23/3.41 inference(transitivity,[status(thm)],[14469, 14467])).
% 3.23/3.41 tff(14471,plain,
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% 3.23/3.41 inference(quant_inst,[status(thm)],[])).
% 3.23/3.41 tff(14472,plain,
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% 3.23/3.41 inference(modus_ponens,[status(thm)],[14471, 14470])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14472, 102, 540, 4759, 2300, 363, 3410])).
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% 3.23/3.41 tff(14475,plain,
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14474, 7981])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14475, 13222])).
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[14476, 14466, 363])).
% 3.23/3.41 tff(14478,plain,
% 3.23/3.41 (r(s(s(s(s(z)))), z)),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2083, 14477])).
% 3.23/3.41 tff(14479,plain,
% 3.23/3.41 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[7254, 14478, 2, 65])).
% 3.23/3.41 tff(14480,plain,
% 3.23/3.41 (b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[2048, 14479])).
% 3.23/3.41 tff(14481,plain,
% 3.23/3.41 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.41 inference(unit_resolution,[status(thm)],[10883, 14478, 1, 63])).
% 3.23/3.41 tff(14482,plain,
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% 3.23/3.41 inference(unit_resolution,[status(thm)],[2072, 14481])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[10678, 102, 13832, 168, 14420, 14466, 14482, 14480])).
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% 3.23/3.42 tff(14485,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[14484, 14434, 14432, 2, 14416, 1, 13965, 14426])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[14486, 3, 1, 2])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[698, 14487])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[2774, 14488, 13832, 14418])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[165, 14489])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[9287, 14488, 13832, 14418])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[409, 14491])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[745, 17, 14492, 1, 14490])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[14442, 14426])).
% 3.23/3.42 tff(14496,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[303, 14495])).
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% 3.23/3.42 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[4153, 14492, 14496, 14430])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[361, 14497])).
% 3.23/3.42 tff(14499,plain,
% 3.23/3.42 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[12111, 14488, 13832, 14418, 14496])).
% 3.23/3.42 tff(14500,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[341, 14499])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[10883, 6, 1, 63])).
% 3.23/3.42 tff(14502,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[2083, 14501])).
% 3.23/3.42 tff(14503,plain,
% 3.23/3.42 (~b(s(s(s(s(z)))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14476, 14502, 363])).
% 3.23/3.42 tff(14504,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[1573, 14503])).
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% 3.23/3.42 tff(14507,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[14506, 14492, 14490, 14426, 1, 13965])).
% 3.23/3.42 tff(14508,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[2072, 14507])).
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% 3.23/3.42 tff(14510,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[6546, 14509])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[3020, 102, 13832, 14418, 14500])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[232, 14511])).
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% 3.23/3.42 tff(14514,plain,
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[195, 14513])).
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% 3.23/3.42 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[12615, 14508, 13832, 14418, 14514])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[8907, 14515])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[54, 14517])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[7537, 14508, 13832, 14418, 14500])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[14524, 2, 1])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[1711, 14525])).
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% 3.23/3.42 inference(unit_resolution,[status(thm)],[7254, 14556, 2, 14528])).
% 3.23/3.42 tff(14566,plain,
% 3.23/3.42 (b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2048, 14565])).
% 3.23/3.42 tff(14567,plain,
% 3.23/3.42 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[11671, 14566, 13832, 2300, 14564])).
% 3.23/3.42 tff(14568,plain,
% 3.23/3.42 (r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[8907, 14567])).
% 3.23/3.42 tff(14569,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13666, 17, 14528, 14568, 14562, 14556])).
% 3.23/3.42 tff(14570,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(14571,plain,
% 3.23/3.42 (~b(s(s(s(s(z)))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14570, 2, 1])).
% 3.23/3.42 tff(14572,plain,
% 3.23/3.42 (r(s(s(s(s(z)))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1573, 14571])).
% 3.23/3.42 tff(14573,plain,
% 3.23/3.42 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13517, 14572, 14554, 14552])).
% 3.23/3.42 tff(14574,plain,
% 3.23/3.42 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6546, 14573])).
% 3.23/3.42 tff(14575,plain,
% 3.23/3.42 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2442, 14558, 13832, 14526])).
% 3.23/3.42 tff(14576,plain,
% 3.23/3.42 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[341, 14575])).
% 3.23/3.42 tff(14577,plain,
% 3.23/3.42 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[7377, 14552, 14560, 14576, 14554, 14558])).
% 3.23/3.42 tff(14578,plain,
% 3.23/3.42 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[232, 14577])).
% 3.23/3.42 tff(14579,plain,
% 3.23/3.42 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[7156, 14572, 13832, 14526, 14578, 14560, 14554])).
% 3.23/3.42 tff(14580,plain,
% 3.23/3.42 (r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2048, 14579])).
% 3.23/3.42 tff(14581,plain,
% 3.23/3.42 (~r(s(s(s(s(z)))), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[7254, 14580, 2, 14528])).
% 3.23/3.42 tff(14582,plain,
% 3.23/3.42 (b(s(s(s(s(z)))), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2083, 14581])).
% 3.23/3.42 tff(14583,plain,
% 3.23/3.42 (((~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(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(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)))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(14584,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[14583])).
% 3.23/3.42 tff(14585,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.23/3.42 inference(transitivity,[status(thm)],[14584, 13646])).
% 3.23/3.42 tff(14586,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(14587,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[14586, 14585])).
% 3.23/3.42 tff(14588,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14587, 102, 13222, 7981, 14582, 14574])).
% 3.23/3.42 tff(14589,plain,((~r(z, s(s(z)))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(14590,plain,
% 3.23/3.42 (~r(z, s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14589, 1])).
% 3.23/3.42 tff(14591,plain,
% 3.23/3.42 (b(z, s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[122, 14590])).
% 3.23/3.42 tff(14592,plain,
% 3.23/3.42 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13456, 14591])).
% 3.23/3.42 tff(14593,plain,
% 3.23/3.42 (r(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[232, 14592])).
% 3.23/3.42 tff(14594,plain,
% 3.23/3.42 ((~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(z)))) | (~b(z, s(s(z))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[4894, 13222])).
% 3.23/3.42 tff(14595,plain,
% 3.23/3.42 (~b(s(z), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14594, 14591, 13832])).
% 3.23/3.42 tff(14596,plain,
% 3.23/3.42 (r(s(z), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[698, 14595])).
% 3.23/3.42 tff(14597,plain,
% 3.23/3.42 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13844, 4, 13471])).
% 3.23/3.42 tff(14598,plain,
% 3.23/3.42 (~b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1462, 4, 498, 66])).
% 3.23/3.42 tff(14599,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[279, 14598, 14597])).
% 3.23/3.42 tff(14600,plain,((~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))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(14601,plain,
% 3.23/3.42 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14600, 13832, 14591])).
% 3.23/3.42 tff(14602,plain,
% 3.23/3.42 (r(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[252, 14601])).
% 3.23/3.42 tff(14603,plain,
% 3.23/3.42 (~r(s(s(z)), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2713, 62, 1, 14602])).
% 3.23/3.42 tff(14604,plain,
% 3.23/3.42 (b(s(s(z)), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1392, 14603])).
% 3.23/3.42 tff(14605,plain,
% 3.23/3.42 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13230, 14604])).
% 3.23/3.42 tff(14606,plain,
% 3.23/3.42 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1711, 14605])).
% 3.23/3.42 tff(14607,plain,
% 3.23/3.42 (~r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[3938, 14606, 14596, 14593])).
% 3.23/3.42 tff(14608,plain,
% 3.23/3.42 (b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[3202, 14607])).
% 3.23/3.42 tff(14609,plain,
% 3.23/3.42 (~b(z, s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14390, 14608])).
% 3.23/3.42 tff(14610,plain,
% 3.23/3.42 (r(z, s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[88, 14609])).
% 3.23/3.42 tff(14611,plain,
% 3.23/3.42 (~b(s(z), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14428, 14608])).
% 3.23/3.42 tff(14612,plain,
% 3.23/3.42 (r(s(z), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[380, 14611])).
% 3.23/3.42 tff(14613,plain,
% 3.23/3.42 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1930, 14612, 14602, 14610])).
% 3.23/3.42 tff(14614,plain,
% 3.23/3.42 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[409, 14613])).
% 3.23/3.42 tff(14615,plain,
% 3.23/3.42 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1796, 14612, 1, 14602])).
% 3.23/3.42 tff(14616,plain,
% 3.23/3.42 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[165, 14615])).
% 3.23/3.42 tff(14617,plain,
% 3.23/3.42 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[878, 14616, 14608, 14614])).
% 3.23/3.42 tff(14618,plain,
% 3.23/3.42 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[341, 14617])).
% 3.23/3.42 tff(14619,plain,
% 3.23/3.42 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[313, 14618, 14593, 62])).
% 3.23/3.42 tff(14620,plain,
% 3.23/3.42 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[361, 14619])).
% 3.23/3.42 tff(14621,plain,
% 3.23/3.42 (~r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[12573, 14618, 1, 14591, 14602, 62, 14610, 14606, 14616])).
% 3.23/3.42 tff(14622,plain,
% 3.23/3.42 (b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[303, 14621])).
% 3.23/3.42 tff(14623,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13713, 14622, 14620, 14591, 14602, 14604, 1])).
% 3.23/3.42 tff(14624,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | (~r(z, s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(14625,plain,
% 3.23/3.42 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14624, 1])).
% 3.23/3.42 tff(14626,plain,
% 3.23/3.42 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[279, 14625])).
% 3.23/3.42 tff(14627,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(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(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(14628,plain,
% 3.23/3.42 (((~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(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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(14629,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[14628])).
% 3.23/3.42 tff(14630,plain,
% 3.23/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))))),
% 3.23/3.42 inference(transitivity,[status(thm)],[14629, 14627])).
% 3.23/3.42 tff(14631,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(14632,plain,
% 3.23/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), s(s(z))))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 3.23/3.42 tff(14633,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14632, 102, 13222, 66, 498, 57, 254])).
% 3.23/3.42 tff(14634,plain,((~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(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))))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(14635,plain,
% 3.23/3.42 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14634, 14591, 13832, 14626])).
% 3.23/3.42 tff(14636,plain,
% 3.23/3.42 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1711, 14635])).
% 3.23/3.42 tff(14637,plain,
% 3.23/3.42 (~r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[3938, 14636, 14596, 14593])).
% 3.23/3.42 tff(14638,plain,
% 3.23/3.42 (b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[3202, 14637])).
% 3.23/3.42 tff(14639,plain,
% 3.23/3.42 (~b(s(z), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14428, 14638])).
% 3.23/3.42 tff(14640,plain,
% 3.23/3.42 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2923, 14626, 13832, 14591, 1])).
% 3.23/3.42 tff(14641,plain,
% 3.23/3.42 (r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2048, 14640])).
% 3.23/3.42 tff(14642,plain,
% 3.23/3.42 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1796, 59, 1, 14602])).
% 3.23/3.42 tff(14643,plain,
% 3.23/3.42 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[165, 14642])).
% 3.23/3.42 tff(14644,plain,
% 3.23/3.42 (~b(z, s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14390, 91])).
% 3.23/3.42 tff(14645,plain,
% 3.23/3.42 (r(z, s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[88, 14644])).
% 3.23/3.42 tff(14646,plain,
% 3.23/3.42 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1930, 14645, 14602, 59])).
% 3.23/3.42 tff(14647,plain,
% 3.23/3.42 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[409, 14646])).
% 3.23/3.42 tff(14648,plain,
% 3.23/3.42 (~b(s(s(z)), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[5363, 14647, 13832, 14643])).
% 3.23/3.42 tff(14649,plain,
% 3.23/3.42 (r(s(s(z)), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[195, 14648])).
% 3.23/3.42 tff(14650,plain,
% 3.23/3.42 (~r(s(s(z)), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1403, 14649, 14645, 59])).
% 3.23/3.42 tff(14651,plain,
% 3.23/3.42 (b(s(s(z)), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1392, 14650])).
% 3.23/3.42 tff(14652,plain,
% 3.23/3.42 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13230, 14651])).
% 3.23/3.42 tff(14653,plain,
% 3.23/3.42 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1711, 14652])).
% 3.23/3.42 tff(14654,plain,
% 3.23/3.42 (~r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[3094, 14653, 14596, 14649])).
% 3.23/3.42 tff(14655,plain,
% 3.23/3.42 (b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[303, 14654])).
% 3.23/3.42 tff(14656,plain,
% 3.23/3.42 (~r(s(s(z)), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1403, 234, 68, 59])).
% 3.23/3.42 tff(14657,plain,
% 3.23/3.42 (b(s(s(z)), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1392, 14656])).
% 3.23/3.42 tff(14658,plain,
% 3.23/3.42 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13230, 14657])).
% 3.23/3.42 tff(14659,plain,
% 3.23/3.42 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1711, 14658])).
% 3.23/3.42 tff(14660,plain,
% 3.23/3.42 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[12899, 2926, 4477, 234, 14659])).
% 3.23/3.42 tff(14661,plain,
% 3.23/3.42 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[6546, 14660])).
% 3.23/3.42 tff(14662,plain,
% 3.23/3.42 (~b(s(s(s(s(z)))), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[13651, 102, 13222, 7981, 14661])).
% 3.23/3.42 tff(14663,plain,
% 3.23/3.42 (r(s(s(s(s(z)))), z)),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2083, 14662])).
% 3.23/3.42 tff(14664,plain,
% 3.23/3.42 (((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 3.23/3.42 inference(rewrite,[status(thm)],[])).
% 3.23/3.42 tff(14665,plain,
% 3.23/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), 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(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))))),
% 3.23/3.42 inference(monotonicity,[status(thm)],[14664])).
% 3.23/3.42 tff(14666,plain,
% 3.23/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), 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(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 3.23/3.42 inference(transitivity,[status(thm)],[14665, 1557])).
% 3.23/3.42 tff(14667,plain,
% 3.23/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 3.23/3.42 inference(quant_inst,[status(thm)],[])).
% 3.23/3.42 tff(14668,plain,
% 3.23/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))),
% 3.23/3.42 inference(modus_ponens,[status(thm)],[14667, 14666])).
% 3.23/3.42 tff(14669,plain,
% 3.23/3.42 ($false),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14668, 17, 68, 59, 2926, 14663])).
% 3.23/3.42 tff(14670,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.42 tff(14671,plain,
% 3.23/3.42 (~r(s(s(s(s(z)))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[14670, 14645, 59, 14641, 14649])).
% 3.23/3.42 tff(14672,plain,
% 3.23/3.42 (b(s(s(s(s(z)))), s(z))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[1573, 14671])).
% 3.23/3.42 tff(14673,plain,
% 3.23/3.42 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[9673, 14672, 14655, 91])).
% 3.23/3.42 tff(14674,plain,
% 3.23/3.42 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[2114, 14673])).
% 3.23/3.42 tff(14675,plain,
% 3.23/3.42 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.42 inference(unit_resolution,[status(thm)],[5011, 17, 14653, 14593, 14641])).
% 3.23/3.43 tff(14676,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6546, 14675])).
% 3.23/3.43 tff(14677,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14678,plain,
% 3.23/3.43 (((~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(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(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(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14679,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))), s(z)))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[14678])).
% 3.23/3.43 tff(14680,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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(z)))), s(z))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[14679, 14677])).
% 3.23/3.43 tff(14681,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(14682,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(z)))), s(z)))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[14681, 14680])).
% 3.23/3.43 tff(14683,plain,
% 3.23/3.43 ((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14682, 102, 13222, 7981, 14655, 14672])).
% 3.23/3.43 tff(14684,plain,
% 3.23/3.43 (~b(s(s(s(s(z)))), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14683, 14676])).
% 3.23/3.43 tff(14685,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2083, 14684])).
% 3.23/3.43 tff(14686,plain,
% 3.23/3.43 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[10883, 14685, 1, 14602])).
% 3.23/3.43 tff(14687,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2072, 14686])).
% 3.23/3.43 tff(14688,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14689,plain,
% 3.23/3.43 (((~b(s(s(z)), z)) | (~b(s(s(z)), 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(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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14690,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[14689])).
% 3.23/3.43 tff(14691,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[14690, 14688])).
% 3.23/3.43 tff(14692,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(14693,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 3.23/3.43 tff(14694,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14693, 102, 498, 56, 254, 7119, 3366])).
% 3.23/3.43 tff(14695,plain,((~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)), z)) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14696,plain,
% 3.23/3.43 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14695, 14687, 13832, 14651, 14626])).
% 3.23/3.43 tff(14697,plain,
% 3.23/3.43 (r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[8907, 14696])).
% 3.23/3.43 tff(14698,plain,
% 3.23/3.43 (((~![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))))), 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)))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $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(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)))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14699,plain,
% 3.23/3.43 (((~r(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(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))))), 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)))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14700,plain,
% 3.23/3.43 (((~![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(z)))), 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(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(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))))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[14699])).
% 3.23/3.43 tff(14701,plain,
% 3.23/3.43 (((~![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(z)))), 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(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(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)))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[14700, 14698])).
% 3.23/3.43 tff(14702,plain,
% 3.23/3.43 ((~![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(z)))), 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(s(s(s(z)))))) | (~r(s(s(s(s(s(z))))), s(s(z)))))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(14703,plain,
% 3.23/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(z))))), s(s(z)))) | (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~r(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(z))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 3.23/3.43 tff(14704,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14703, 17, 14653, 14697, 14674, 14641])).
% 3.23/3.43 tff(14705,plain,((~b(s(z), s(s(s(s(s(z))))))) | (~r(z, s(s(s(s(s(s(z)))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14706,plain,
% 3.23/3.43 (~r(s(z), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14705, 14638, 1])).
% 3.23/3.43 tff(14707,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[380, 14706, 14639])).
% 3.23/3.43 tff(14708,plain,(~r(z, s(s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14709,plain,
% 3.23/3.43 (b(z, s(s(s(s(s(s(z)))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[538, 14708])).
% 3.23/3.43 tff(14710,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), z)) | (~b(s(s(s(s(s(s(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(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14711,plain,
% 3.23/3.43 (((~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(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(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(s(z)))))))))),
% 3.23/3.43 inference(rewrite,[status(thm)],[])).
% 3.23/3.43 tff(14712,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))))),
% 3.23/3.43 inference(monotonicity,[status(thm)],[14711])).
% 3.23/3.43 tff(14713,plain,
% 3.23/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.23/3.43 inference(transitivity,[status(thm)],[14712, 14710])).
% 3.23/3.43 tff(14714,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.23/3.43 inference(quant_inst,[status(thm)],[])).
% 3.23/3.43 tff(14715,plain,
% 3.23/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.23/3.43 inference(modus_ponens,[status(thm)],[14714, 14713])).
% 3.23/3.43 tff(14716,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14715, 102, 13222, 7981, 364, 14709])).
% 3.23/3.43 tff(14717,plain,(~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14718,plain,
% 3.23/3.43 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[361, 14717])).
% 3.23/3.43 tff(14719,plain,
% 3.23/3.43 ((~b(s(s(s(s(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))))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[4798, 13222])).
% 3.23/3.43 tff(14720,plain,
% 3.23/3.43 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14719, 4, 14709])).
% 3.23/3.43 tff(14721,plain,
% 3.23/3.43 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[341, 14720])).
% 3.23/3.43 tff(14722,plain,
% 3.23/3.43 (~b(s(s(z)), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[12913, 4, 14709])).
% 3.23/3.43 tff(14723,plain,
% 3.23/3.43 (r(s(s(z)), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1392, 14722])).
% 3.23/3.43 tff(14724,plain,
% 3.23/3.43 (~b(z, s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[13452, 4, 5])).
% 3.23/3.43 tff(14725,plain,
% 3.23/3.43 (r(z, s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[122, 14724])).
% 3.23/3.43 tff(14726,plain,
% 3.23/3.43 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[13844, 4, 62])).
% 3.23/3.43 tff(14727,plain,
% 3.23/3.43 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[232, 14726])).
% 3.23/3.43 tff(14728,plain,
% 3.23/3.43 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2100, 14721, 5, 62])).
% 3.23/3.43 tff(14729,plain,
% 3.23/3.43 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1711, 14728])).
% 3.23/3.43 tff(14730,plain,
% 3.23/3.43 (~b(s(s(s(s(z)))), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[12927, 3594, 14709, 4])).
% 3.23/3.43 tff(14731,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2083, 14730])).
% 3.23/3.43 tff(14732,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[7145, 102, 57, 197, 1588, 3594])).
% 3.23/3.43 tff(14733,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14734,plain,
% 3.23/3.43 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14733, 3594, 57, 197])).
% 3.23/3.43 tff(14735,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2048, 14734])).
% 3.23/3.43 tff(14736,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[7254, 14735, 14731, 2, 14723])).
% 3.23/3.43 tff(14737,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, 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(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14738,plain,
% 3.23/3.43 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14737, 14725, 14729, 14727, 4])).
% 3.23/3.43 tff(14739,plain,
% 3.23/3.43 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[6546, 14738])).
% 3.23/3.43 tff(14740,plain,
% 3.23/3.43 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[8661, 92, 197, 57])).
% 3.23/3.43 tff(14741,plain,
% 3.23/3.43 (r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[303, 14740])).
% 3.23/3.43 tff(14742,plain,
% 3.23/3.43 (~b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[205, 92, 57, 197])).
% 3.23/3.43 tff(14743,plain,
% 3.23/3.43 (r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[3202, 14742])).
% 3.23/3.43 tff(14744,plain,
% 3.23/3.43 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[11167, 10204, 305, 64])).
% 3.23/3.43 tff(14745,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[2072, 14744])).
% 3.23/3.43 tff(14746,plain,
% 3.23/3.43 (~r(s(s(s(s(z)))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[13517, 10204, 67, 61])).
% 3.23/3.43 tff(14747,plain,
% 3.23/3.43 (b(s(s(s(s(z)))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1573, 14746])).
% 3.23/3.43 tff(14748,plain,
% 3.23/3.43 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[4153, 67, 64, 61])).
% 3.23/3.43 tff(14749,plain,
% 3.23/3.43 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[409, 14748])).
% 3.23/3.43 tff(14750,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[13525, 102, 14749, 14747, 7375, 14745])).
% 3.23/3.43 tff(14751,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(z))) | (~r(s(z), s(s(s(s(s(z))))))) | (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14752,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14751, 14743, 14741, 10204, 305, 64])).
% 3.23/3.43 tff(14753,plain,((~b(s(z), 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(s(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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.43 tff(14754,plain,
% 3.23/3.43 (~b(s(z), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14753, 14739, 14721, 13352, 14729, 14727])).
% 3.23/3.43 tff(14755,plain,
% 3.23/3.43 (r(s(z), s(s(z)))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[698, 14754])).
% 3.23/3.43 tff(14756,plain,
% 3.23/3.43 (~r(s(z), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[1419, 14755, 14725, 14723])).
% 3.23/3.43 tff(14757,plain,
% 3.23/3.43 (b(s(z), z)),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[380, 14756])).
% 3.23/3.43 tff(14758,plain,
% 3.23/3.43 (~r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[7950, 14757, 14709, 4, 14721])).
% 3.23/3.43 tff(14759,plain,
% 3.23/3.43 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[14442, 14757])).
% 3.23/3.43 tff(14760,plain,
% 3.23/3.43 ($false),
% 3.23/3.43 inference(unit_resolution,[status(thm)],[303, 14759, 14758])).
% 3.23/3.43 tff(14761,plain,((~b(s(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(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14762,plain,
% 3.23/3.44 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14761, 62, 9916])).
% 3.23/3.44 tff(14763,plain,
% 3.23/3.44 (r(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[252, 14762])).
% 3.23/3.44 tff(14764,plain,
% 3.23/3.44 (~b(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13230, 57])).
% 3.23/3.44 tff(14765,plain,
% 3.23/3.44 (r(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1392, 14764])).
% 3.23/3.44 tff(14766,plain,
% 3.23/3.44 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14761, 62, 5])).
% 3.23/3.44 tff(14767,plain,
% 3.23/3.44 (r(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[252, 14766])).
% 3.23/3.44 tff(14768,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(14769,plain,
% 3.23/3.44 (((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(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(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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(14770,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[14769])).
% 3.23/3.44 tff(14771,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(z)))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.23/3.44 inference(transitivity,[status(thm)],[14770, 14768])).
% 3.23/3.44 tff(14772,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z))))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(14773,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(z)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[14772, 14771])).
% 3.23/3.44 tff(14774,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14773, 102, 13222, 66, 57, 7119, 1588])).
% 3.23/3.44 tff(14775,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14776,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14775, 7119, 66, 57])).
% 3.23/3.44 tff(14777,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2048, 14776])).
% 3.23/3.44 tff(14778,plain,
% 3.23/3.44 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[3317, 14765, 62, 14767, 13471])).
% 3.23/3.44 tff(14779,plain,
% 3.23/3.44 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[341, 14778])).
% 3.23/3.44 tff(14780,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[11856, 7119, 14779, 66, 57])).
% 3.23/3.44 tff(14781,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2072, 14780])).
% 3.23/3.44 tff(14782,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1620, 17, 5, 62, 14781, 14777])).
% 3.23/3.44 tff(14783,plain,((~b(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(s(z)))))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14784,plain,
% 3.23/3.44 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14783, 57, 62, 66, 5])).
% 3.23/3.44 tff(14785,plain,
% 3.23/3.44 (r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8907, 14784])).
% 3.23/3.44 tff(14786,plain,
% 3.23/3.44 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[11113, 14785, 62, 14767, 14765])).
% 3.23/3.44 tff(14787,plain,
% 3.23/3.44 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2072, 14786])).
% 3.23/3.44 tff(14788,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13668, 14785, 14765])).
% 3.23/3.44 tff(14789,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6546, 14788])).
% 3.23/3.44 tff(14790,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[13289, 17, 235, 7519, 4318, 10204])).
% 3.23/3.44 tff(14791,plain,((~r(s(s(s(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)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14792,plain,
% 3.23/3.44 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14791, 14785, 13471, 14789])).
% 3.23/3.44 tff(14793,plain,
% 3.23/3.44 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2114, 14792])).
% 3.23/3.44 tff(14794,plain,
% 3.23/3.44 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[11832, 14793, 14779, 14787])).
% 3.23/3.44 tff(14795,plain,
% 3.23/3.44 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[11679, 14794])).
% 3.23/3.44 tff(14796,plain,
% 3.23/3.44 (~r(z, s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[10072, 14785, 62, 14767, 14765])).
% 3.23/3.44 tff(14797,plain,
% 3.23/3.44 (b(z, s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[54, 14796])).
% 3.23/3.44 tff(14798,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[10024, 14793, 14797])).
% 3.23/3.44 tff(14799,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2083, 14798])).
% 3.23/3.44 tff(14800,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[10326, 17, 5, 14767, 14785, 14799, 14795])).
% 3.23/3.44 tff(14801,plain,((~b(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(s(s(s(z)))))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14802,plain,
% 3.23/3.44 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14801, 66, 62, 5])).
% 3.23/3.44 tff(14803,plain,
% 3.23/3.44 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1711, 14802])).
% 3.23/3.44 tff(14804,plain,
% 3.23/3.44 (~r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2100, 14803, 5, 62])).
% 3.23/3.44 tff(14805,plain,
% 3.23/3.44 (b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[341, 14804])).
% 3.23/3.44 tff(14806,plain,
% 3.23/3.44 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1910, 14803, 5, 13471])).
% 3.23/3.44 tff(14807,plain,
% 3.23/3.44 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[361, 14806])).
% 3.23/3.44 tff(14808,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[9134, 14807, 14805, 14709])).
% 3.23/3.44 tff(14809,plain,((~b(z, s(s(z)))) | (~r(s(s(s(s(s(s(z)))))), s(s(z)))) | (~r(s(s(z)), s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14810,plain,
% 3.23/3.44 (~b(z, s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14809, 62, 9916])).
% 3.23/3.44 tff(14811,plain,
% 3.23/3.44 (r(z, s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[122, 14810])).
% 3.23/3.44 tff(14812,plain,
% 3.23/3.44 (~r(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2482, 14811, 9916, 14763])).
% 3.23/3.44 tff(14813,plain,
% 3.23/3.44 (b(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1392, 14812])).
% 3.23/3.44 tff(14814,plain,
% 3.23/3.44 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13230, 14813])).
% 3.23/3.44 tff(14815,plain,
% 3.23/3.44 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[10784, 14813, 14709, 9141, 62, 14762])).
% 3.23/3.44 tff(14816,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[1711, 14815, 14814])).
% 3.23/3.44 tff(14817,plain,((~r(s(s(z)), s(s(s(s(s(s(z)))))))) | b(s(s(s(s(s(s(z)))))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14818,plain,
% 3.23/3.44 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14817, 9141])).
% 3.23/3.44 tff(14819,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[279, 14818])).
% 3.23/3.44 tff(14820,plain,
% 3.23/3.44 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13020, 14721, 14709, 3, 4, 5])).
% 3.23/3.44 tff(14821,plain,
% 3.23/3.44 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2114, 14820])).
% 3.23/3.44 tff(14822,plain,
% 3.23/3.44 (~b(z, s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2034, 4, 14709, 254])).
% 3.23/3.44 tff(14823,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[122, 14822])).
% 3.23/3.44 tff(14824,plain,
% 3.23/3.44 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1910, 13352, 5, 3])).
% 3.23/3.44 tff(14825,plain,
% 3.23/3.44 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[232, 14824])).
% 3.23/3.44 tff(14826,plain,
% 3.23/3.44 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13668, 3594, 14723])).
% 3.23/3.44 tff(14827,plain,
% 3.23/3.44 (b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8907, 14826])).
% 3.23/3.44 tff(14828,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[7127, 14827, 197, 5086])).
% 3.23/3.44 tff(14829,plain,
% 3.23/3.44 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[7254, 14731, 2, 14723])).
% 3.23/3.44 tff(14830,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[2048, 14829, 14828])).
% 3.23/3.44 tff(14831,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~r(z, 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(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14832,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14831, 14823, 14825, 14821, 4])).
% 3.23/3.44 tff(14833,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6546, 14832])).
% 3.23/3.44 tff(14834,plain,
% 3.23/3.44 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[11167, 14833, 14721, 13352])).
% 3.23/3.44 tff(14835,plain,
% 3.23/3.44 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2072, 14834])).
% 3.23/3.44 tff(14836,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13032, 14835, 14709, 4])).
% 3.23/3.44 tff(14837,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2083, 14836])).
% 3.23/3.44 tff(14838,plain,
% 3.23/3.44 (~r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[7254, 14837, 14823, 14723])).
% 3.23/3.44 tff(14839,plain,
% 3.23/3.44 (b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2048, 14838])).
% 3.23/3.44 tff(14840,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))))) | (~b(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(z)))), s(s(z)))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(z)))))))) | (~b(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(z)))), s(s(z)))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(14841,plain,
% 3.23/3.44 (((~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(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(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(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z)))))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(14842,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(s(z)))))))) | (~b(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(z)))), s(s(z))))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[14841])).
% 3.23/3.44 tff(14843,plain,
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% 3.23/3.44 inference(transitivity,[status(thm)],[14842, 14840])).
% 3.23/3.44 tff(14844,plain,
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% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(14845,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(z)))), s(s(z))))),
% 3.23/3.44 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 3.23/3.44 tff(14846,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14845, 102, 540, 124, 254, 5086, 3411, 1588])).
% 3.23/3.44 tff(14847,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(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(s(s(z)))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14848,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[14847, 13222])).
% 3.23/3.44 tff(14849,plain,
% 3.23/3.44 (~b(z, s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14848, 14839, 14709, 254, 14821])).
% 3.23/3.44 tff(14850,plain,
% 3.23/3.44 (r(z, s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[54, 14849])).
% 3.23/3.44 tff(14851,plain,
% 3.23/3.44 (~r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8529, 14723, 5, 3])).
% 3.23/3.44 tff(14852,plain,
% 3.23/3.44 (b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[3202, 14851])).
% 3.23/3.44 tff(14853,plain,
% 3.23/3.44 (~b(s(z), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14428, 14852])).
% 3.23/3.44 tff(14854,plain,
% 3.23/3.44 (r(s(z), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[380, 14853])).
% 3.23/3.44 tff(14855,plain,
% 3.23/3.44 (~b(z, s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14390, 14852])).
% 3.23/3.44 tff(14856,plain,
% 3.23/3.44 (r(z, s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[88, 14855])).
% 3.23/3.44 tff(14857,plain,
% 3.23/3.44 (~r(s(s(z)), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1403, 14856, 14723, 14854])).
% 3.23/3.44 tff(14858,plain,
% 3.23/3.44 (b(s(s(z)), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[195, 14857])).
% 3.23/3.44 tff(14859,plain,
% 3.23/3.44 (~r(s(z), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1419, 14854, 14823, 14723])).
% 3.23/3.44 tff(14860,plain,
% 3.23/3.44 (b(s(z), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[698, 14859])).
% 3.23/3.44 tff(14861,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2065, 102, 92, 168, 2300, 1588])).
% 3.23/3.44 tff(14862,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14863,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14862, 14860, 14858, 14839])).
% 3.23/3.44 tff(14864,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1573, 14863])).
% 3.23/3.44 tff(14865,plain,
% 3.23/3.44 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[7127, 14839, 14825, 14821])).
% 3.23/3.44 tff(14866,plain,
% 3.23/3.44 (r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8907, 14865])).
% 3.23/3.44 tff(14867,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[5063, 17, 14856, 14823, 14866, 14864, 14850])).
% 3.23/3.44 tff(14868,plain,((~b(s(s(s(s(s(s(z)))))), z)) | (~b(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))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14869,plain,
% 3.23/3.44 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14868, 3, 14819, 9916])).
% 3.23/3.44 tff(14870,plain,
% 3.23/3.44 (r(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[252, 14869])).
% 3.23/3.44 tff(14871,plain,
% 3.23/3.44 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1910, 13471, 5, 3])).
% 3.23/3.44 tff(14872,plain,
% 3.23/3.44 (b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[361, 14871])).
% 3.23/3.44 tff(14873,plain,
% 3.23/3.44 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[9134, 14872, 14709])).
% 3.23/3.44 tff(14874,plain,
% 3.23/3.44 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[341, 14873])).
% 3.23/3.44 tff(14875,plain,
% 3.23/3.44 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14868, 3, 254, 5])).
% 3.23/3.44 tff(14876,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[13081, 66, 14709, 3, 14875])).
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[1392, 14876])).
% 3.23/3.44 tff(14878,plain,
% 3.23/3.44 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13800, 14874, 5, 254, 66, 14877])).
% 3.23/3.44 tff(14879,plain,
% 3.23/3.44 (r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[303, 14878])).
% 3.23/3.44 tff(14880,plain,
% 3.23/3.44 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2185, 14879, 5, 3, 14874])).
% 3.23/3.44 tff(14881,plain,
% 3.23/3.44 (~r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8529, 14877, 5, 3])).
% 3.23/3.44 tff(14882,plain,
% 3.23/3.44 (b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[3202, 14881])).
% 3.23/3.44 tff(14883,plain,
% 3.23/3.44 (~b(s(z), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14428, 14882])).
% 3.23/3.44 tff(14884,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[380, 14883])).
% 3.23/3.44 tff(14885,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[14390, 14882])).
% 3.23/3.44 tff(14886,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[88, 14885])).
% 3.23/3.44 tff(14887,plain,
% 3.23/3.44 (~r(s(s(z)), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1403, 14886, 14877, 14884])).
% 3.23/3.44 tff(14888,plain,
% 3.23/3.44 (b(s(s(z)), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[195, 14887])).
% 3.23/3.44 tff(14889,plain,
% 3.23/3.44 (r(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[252, 14875])).
% 3.23/3.44 tff(14890,plain,
% 3.23/3.44 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1930, 14886, 14889, 14884])).
% 3.23/3.44 tff(14891,plain,
% 3.23/3.44 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[409, 14890])).
% 3.23/3.44 tff(14892,plain,
% 3.23/3.44 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[3543, 14891, 254, 14888])).
% 3.23/3.44 tff(14893,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[165, 14892, 14880])).
% 3.23/3.44 tff(14894,plain,((~b(z, s(s(z)))) | (~b(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(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14895,plain,
% 3.23/3.44 (~b(z, s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14894, 3, 9916, 14819])).
% 3.23/3.44 tff(14896,plain,
% 3.23/3.44 (r(z, s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[122, 14895])).
% 3.23/3.44 tff(14897,plain,
% 3.23/3.44 (~r(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2482, 14896, 9916, 14870])).
% 3.23/3.44 tff(14898,plain,
% 3.23/3.44 (b(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1392, 14897])).
% 3.23/3.44 tff(14899,plain,
% 3.23/3.44 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8609, 14898, 14709, 14819])).
% 3.23/3.44 tff(14900,plain,
% 3.23/3.44 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[9161, 14898, 9141, 3, 14869])).
% 3.23/3.44 tff(14901,plain,
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% 3.23/3.44 inference(unit_resolution,[status(thm)],[361, 14900, 14899])).
% 3.23/3.44 tff(14902,plain,((~r(s(s(s(s(s(z))))), s(s(z)))) | b(s(s(s(s(s(s(z)))))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14903,plain,
% 3.23/3.44 (~r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14902, 9141])).
% 3.23/3.44 tff(14904,plain,
% 3.23/3.44 (b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1711, 14903])).
% 3.23/3.44 tff(14905,plain,
% 3.23/3.44 (~b(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13230, 14904])).
% 3.23/3.44 tff(14906,plain,
% 3.23/3.44 (r(s(s(z)), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[1392, 14905])).
% 3.23/3.44 tff(14907,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[11856, 7119, 60, 66, 57])).
% 3.23/3.44 tff(14908,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2072, 14907])).
% 3.23/3.44 tff(14909,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14587, 102, 13222, 7981, 3410, 3594])).
% 3.23/3.44 tff(14910,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14911,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14910, 3410])).
% 3.23/3.44 tff(14912,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6546, 14911])).
% 3.23/3.44 tff(14913,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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))))), 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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(14914,plain,
% 3.23/3.44 (((~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(z)))), z)) | (~b(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))))))) | (~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)))), z)))),
% 3.23/3.44 inference(rewrite,[status(thm)],[])).
% 3.23/3.44 tff(14915,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))))),
% 3.23/3.44 inference(monotonicity,[status(thm)],[14914])).
% 3.23/3.44 tff(14916,plain,
% 3.23/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)))),
% 3.23/3.44 inference(transitivity,[status(thm)],[14915, 14913])).
% 3.23/3.44 tff(14917,plain,
% 3.23/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))))),
% 3.23/3.44 inference(quant_inst,[status(thm)],[])).
% 3.23/3.44 tff(14918,plain,
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% 3.23/3.44 inference(modus_ponens,[status(thm)],[14917, 14916])).
% 3.23/3.44 tff(14919,plain,
% 3.23/3.44 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14918, 102, 13222, 7981, 3410])).
% 3.23/3.44 tff(14920,plain,
% 3.23/3.44 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2114, 14919])).
% 3.23/3.44 tff(14921,plain,
% 3.23/3.44 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14791, 14920, 13471, 14912])).
% 3.23/3.44 tff(14922,plain,
% 3.23/3.44 (b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8907, 14921])).
% 3.23/3.44 tff(14923,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[11958, 102, 7981, 66, 57, 14922, 3410])).
% 3.23/3.44 tff(14924,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14925,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14924, 66, 57])).
% 3.23/3.44 tff(14926,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), z)),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[2083, 14925])).
% 3.23/3.44 tff(14927,plain,
% 3.23/3.44 ((~r(s(s(s(s(z)))), s(s(z)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(z))))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[12840, 17, 5, 14765, 14926])).
% 3.23/3.44 tff(14928,plain,
% 3.23/3.44 ($false),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14927, 14908, 14777])).
% 3.23/3.44 tff(14929,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~r(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.44 tff(14930,plain,
% 3.23/3.44 (~b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[14929, 60, 5, 66, 57])).
% 3.23/3.44 tff(14931,plain,
% 3.23/3.44 (r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[8907, 14930])).
% 3.23/3.44 tff(14932,plain,
% 3.23/3.44 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[13668, 14931, 14765])).
% 3.23/3.44 tff(14933,plain,
% 3.23/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.44 inference(unit_resolution,[status(thm)],[6546, 14932])).
% 3.23/3.45 tff(14934,plain,
% 3.23/3.45 (~r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14791, 14933, 13471, 14931])).
% 3.23/3.45 tff(14935,plain,
% 3.23/3.45 (b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2114, 14934])).
% 3.23/3.45 tff(14936,plain,
% 3.23/3.45 (~r(z, s(s(s(s(z)))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[10212, 14933, 13471, 14765, 14931])).
% 3.23/3.45 tff(14937,plain,
% 3.23/3.45 (b(z, s(s(s(s(z)))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[54, 14936])).
% 3.23/3.45 tff(14938,plain,
% 3.23/3.45 (~b(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14848, 14937, 14709, 254, 14935])).
% 3.23/3.45 tff(14939,plain,
% 3.23/3.45 (r(s(s(s(s(z)))), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2048, 14938])).
% 3.23/3.45 tff(14940,plain,
% 3.23/3.45 (~r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14927, 14939])).
% 3.23/3.45 tff(14941,plain,
% 3.23/3.45 (b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2072, 14940])).
% 3.23/3.45 tff(14942,plain,
% 3.23/3.45 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[11832, 14941, 60, 14935])).
% 3.23/3.45 tff(14943,plain,
% 3.23/3.45 (r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[11679, 14942])).
% 3.23/3.45 tff(14944,plain,
% 3.23/3.45 (~b(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[13452, 66, 5])).
% 3.23/3.45 tff(14945,plain,
% 3.23/3.45 (r(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[252, 14944])).
% 3.23/3.45 tff(14946,plain,
% 3.23/3.45 ($false),
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% 3.23/3.45 tff(14947,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~r(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(14948,plain,
% 3.23/3.45 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14947, 66, 254, 5, 57])).
% 3.23/3.45 tff(14949,plain,
% 3.23/3.45 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[341, 14948])).
% 3.23/3.45 tff(14950,plain,
% 3.23/3.45 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[13800, 14949, 5, 254, 66, 14765])).
% 3.23/3.45 tff(14951,plain,
% 3.23/3.45 (r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[303, 14950])).
% 3.23/3.45 tff(14952,plain,
% 3.23/3.45 (~r(s(s(z)), s(z))),
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% 3.23/3.45 (b(s(s(z)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[195, 14952])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[13060, 66, 14709, 254, 57])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[361, 14954])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[7377, 14951, 13471, 14955, 14949, 254])).
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% 3.23/3.45 (b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[3202, 14956])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[14390, 14957])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[88, 14958])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[7695, 14959, 5, 14945, 14765])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[409, 14960])).
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% 3.23/3.45 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[3543, 14961, 254, 14953])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[165, 14962])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[14428, 14957])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[380, 14964])).
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% 3.23/3.45 (~b(s(z), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[13631, 14953, 66, 57])).
% 3.23/3.45 tff(14967,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[698, 14966])).
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% 3.23/3.45 tff(14970,plain,
% 3.23/3.45 (~b(z, s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14969, 9916, 14819, 14904])).
% 3.23/3.45 tff(14971,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[122, 14970])).
% 3.23/3.45 tff(14972,plain,
% 3.23/3.45 (~r(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[2482, 14971, 9916, 14906])).
% 3.23/3.45 tff(14973,plain,
% 3.23/3.45 (b(s(s(s(s(s(s(z)))))), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[252, 14972])).
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% 3.23/3.45 (~r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[7950, 363, 14709, 4, 14721])).
% 3.23/3.45 tff(14975,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[303, 14443, 14974])).
% 3.23/3.45 tff(14976,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(14977,plain,
% 3.23/3.45 (~b(s(z), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14976, 14973])).
% 3.23/3.45 tff(14978,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[380, 14977])).
% 3.23/3.45 tff(14979,plain,
% 3.23/3.45 (~r(s(z), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1419, 14978, 14971, 14906])).
% 3.23/3.45 tff(14980,plain,
% 3.23/3.45 (b(s(z), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[698, 14979])).
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% 3.23/3.45 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14719, 14973, 14709])).
% 3.23/3.45 tff(14982,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[341, 14981])).
% 3.23/3.45 tff(14983,plain,
% 3.23/3.45 (~b(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[13243, 14973])).
% 3.23/3.45 tff(14984,plain,
% 3.23/3.45 (r(s(s(s(s(s(s(z)))))), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[361, 14983])).
% 3.23/3.45 tff(14985,plain,
% 3.23/3.45 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[9077, 102, 14980, 7981, 14973, 14904, 14819])).
% 3.23/3.45 tff(14986,plain,
% 3.23/3.45 (r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[303, 14985])).
% 3.23/3.45 tff(14987,plain,
% 3.23/3.45 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14737, 197, 57, 2, 4])).
% 3.23/3.45 tff(14988,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[14976, 4])).
% 3.23/3.45 tff(14989,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[380, 14988])).
% 3.23/3.45 tff(14990,plain,
% 3.23/3.45 (~r(s(z), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1419, 14989, 2, 14765])).
% 3.23/3.45 tff(14991,plain,
% 3.23/3.45 (b(s(z), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[698, 14990])).
% 3.23/3.45 tff(14992,plain,
% 3.23/3.45 (~r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14753, 197, 57, 13352, 14721, 14991])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[6546, 14992, 14987])).
% 3.23/3.45 tff(14994,plain,((~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(z))))), s(s(z)))) | (~r(z, s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(14995,plain,
% 3.23/3.45 (~b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[14994, 14904, 14971, 14973])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[232, 14995])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[7377, 14996, 14986, 14984, 14982, 14819])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[3202, 14997])).
% 3.23/3.45 tff(14999,plain,
% 3.23/3.45 (~r(s(s(z)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[13628, 14996, 14986, 14906])).
% 3.23/3.45 tff(15000,plain,
% 3.23/3.45 (b(s(s(z)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[195, 14999])).
% 3.23/3.45 tff(15001,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[176, 15000, 14998, 14904, 14980])).
% 3.23/3.45 tff(15002,plain,(b(s(s(s(s(s(s(z)))))), s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(15003,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[12000, 102, 7981, 15002, 56, 14709, 60])).
% 3.23/3.45 tff(15004,plain,((~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(z)), z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(15005,plain,
% 3.23/3.45 (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[15004, 56])).
% 3.23/3.45 tff(15006,plain,
% 3.23/3.45 (r(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[341, 15005])).
% 3.23/3.45 tff(15007,plain,
% 3.23/3.45 (~r(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[313, 15006, 14718, 13969])).
% 3.23/3.45 tff(15008,plain,
% 3.23/3.45 (b(s(s(z)), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[279, 15007])).
% 3.23/3.45 tff(15009,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[1807, 102, 15002, 56, 14709, 15008])).
% 3.23/3.45 tff(15010,plain,(~b(s(s(z)), z)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(15011,plain,
% 3.23/3.45 (r(s(s(z)), z)),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1392, 15010])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[13456, 197])).
% 3.23/3.45 tff(15013,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[122, 15012])).
% 3.23/3.45 tff(15014,plain,
% 3.23/3.45 (~r(s(z), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1419, 14989, 15011, 15013])).
% 3.23/3.45 tff(15015,plain,
% 3.23/3.45 (b(s(z), s(s(z)))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[698, 15014])).
% 3.23/3.45 tff(15016,plain,
% 3.23/3.45 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[12193, 15015, 15002, 4, 197])).
% 3.23/3.45 tff(15017,plain,
% 3.23/3.45 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[409, 15016])).
% 3.23/3.45 tff(15018,plain,
% 3.23/3.45 (~r(s(s(z)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[12173, 17, 15017, 14989, 15011, 62])).
% 3.23/3.45 tff(15019,plain,
% 3.23/3.45 (b(s(s(z)), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[195, 15018])).
% 3.23/3.45 tff(15020,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(15021,plain,
% 3.23/3.45 (((~b(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))) | (~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)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.23/3.45 inference(rewrite,[status(thm)],[])).
% 3.23/3.45 tff(15022,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))))),
% 3.23/3.45 inference(monotonicity,[status(thm)],[15021])).
% 3.23/3.45 tff(15023,plain,
% 3.23/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z)))))))))),
% 3.23/3.45 inference(transitivity,[status(thm)],[15022, 15020])).
% 3.23/3.45 tff(15024,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(z)), 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)))))))))),
% 3.23/3.45 inference(quant_inst,[status(thm)],[])).
% 3.23/3.45 tff(15025,plain,
% 3.23/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(z), s(s(z)))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(z), s(s(s(s(s(s(z))))))))),
% 3.23/3.45 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 3.23/3.45 tff(15026,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[15025, 102, 92, 498, 168, 125])).
% 3.23/3.45 tff(15027,plain,((~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(z)))) | (~b(s(s(z)), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.45 tff(15028,plain,
% 3.23/3.45 (~b(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[15027, 15019, 15002, 15015])).
% 3.23/3.45 tff(15029,plain,
% 3.23/3.45 (r(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[165, 15028])).
% 3.23/3.45 tff(15030,plain,
% 3.23/3.45 (~r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[3487, 15029, 14718, 305])).
% 3.23/3.45 tff(15031,plain,
% 3.23/3.45 (b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[3202, 15030])).
% 3.23/3.45 tff(15032,plain,
% 3.23/3.45 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[1748, 15031, 197, 15019])).
% 3.23/3.45 tff(15033,plain,
% 3.23/3.45 (r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[303, 15032])).
% 3.23/3.45 tff(15034,plain,
% 3.23/3.45 ($false),
% 3.23/3.45 inference(unit_resolution,[status(thm)],[12020, 17, 15033, 3, 15017, 62, 305])).
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% 3.23/3.45 tff(15036,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[15035, 62, 3, 305, 197])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[252, 15036])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[12127, 15041, 63, 62, 15011])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[14390, 15051])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[3202, 15052])).
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[303, 15054])).
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% 3.23/3.45 tff(15064,plain,
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% 3.23/3.45 inference(unit_resolution,[status(thm)],[165, 15068])).
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% 3.23/3.45 tff(15088,plain,
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% 3.23/3.46 inference(rewrite,[status(thm)],[])).
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% 3.23/3.46 inference(monotonicity,[status(thm)],[15205])).
% 3.23/3.46 tff(15207,plain,
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% 3.23/3.46 inference(transitivity,[status(thm)],[15206, 15204])).
% 3.23/3.46 tff(15208,plain,
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% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
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% 3.23/3.46 inference(modus_ponens,[status(thm)],[15208, 15207])).
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[15209, 102, 13222, 66, 15002, 15203, 15199, 15197])).
% 3.23/3.46 tff(15211,plain,((~r(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(15212,plain,
% 3.23/3.46 (~r(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[15211, 66])).
% 3.23/3.46 tff(15213,plain,
% 3.23/3.46 (b(s(s(z)), s(s(s(s(z)))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[8907, 15212])).
% 3.23/3.46 tff(15214,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[4556, 102, 66, 124, 60, 7119, 3411, 3594])).
% 3.23/3.46 tff(15215,plain,((~b(z, s(s(s(s(z)))))) | (~b(z, 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(z)), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(15216,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[15215, 3594, 14709, 66, 15180, 15213])).
% 3.23/3.46 tff(15217,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[54, 15216])).
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% 3.23/3.46 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[10186, 15217, 15182, 15193])).
% 3.23/3.46 tff(15219,plain,
% 3.23/3.46 (b(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[11679, 15218])).
% 3.23/3.46 tff(15220,plain,
% 3.23/3.46 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[10082, 15213, 14709, 15002, 66])).
% 3.23/3.46 tff(15221,plain,
% 3.23/3.46 (r(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[2072, 15220])).
% 3.23/3.46 tff(15222,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[10118, 17, 63, 62, 1537, 6, 4477])).
% 3.23/3.46 tff(15223,plain,((~r(s(s(s(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(s(s(s(z)))), s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(z)))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(15224,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[15223, 15193, 15195, 15182, 15221])).
% 3.23/3.46 tff(15225,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[2048, 15224])).
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% 3.23/3.46 tff(15227,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(z))))))) | (~b(z, s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(15228,plain,
% 3.23/3.46 (~b(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[15227, 66])).
% 3.23/3.46 tff(15229,plain,
% 3.23/3.46 (r(s(s(s(s(z)))), s(s(s(s(s(z))))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[6546, 15228])).
% 3.23/3.46 tff(15230,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[14594, 66, 15002])).
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% 3.23/3.46 (~b(s(s(s(s(z)))), z)),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[14924, 57, 66])).
% 3.23/3.46 tff(15233,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[2083, 15232])).
% 3.23/3.46 tff(15234,plain,
% 3.23/3.46 (~b(s(s(s(s(z)))), s(s(s(s(s(s(z)))))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[11856, 7119, 15180, 66, 57])).
% 3.23/3.46 tff(15235,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[2072, 15234])).
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% 3.23/3.46 tff(15237,plain,((~b(s(s(z)), s(s(s(s(z)))))) | (~b(z, s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(15238,plain,
% 3.23/3.46 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[15237, 15213, 66])).
% 3.23/3.46 tff(15239,plain,
% 3.23/3.46 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1711, 15238])).
% 3.23/3.46 tff(15240,plain,
% 3.23/3.46 (~r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[3938, 15239, 13471, 15231])).
% 3.23/3.46 tff(15241,plain,
% 3.23/3.46 (b(s(z), s(s(s(s(s(z))))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[3202, 15240])).
% 3.23/3.46 tff(15242,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[14390, 15241])).
% 3.23/3.46 tff(15243,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[88, 15242])).
% 3.23/3.46 tff(15244,plain,
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% 3.23/3.46 tff(15245,plain,
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% 3.23/3.46 (~b(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[10256, 7119, 14709, 15002, 15180])).
% 3.23/3.46 tff(15247,plain,
% 3.23/3.46 (r(s(s(s(s(s(z))))), s(s(s(s(z)))))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[2114, 15246])).
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% 3.23/3.46 tff(15249,plain,
% 3.23/3.46 (((~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(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))))))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
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% 3.23/3.46 (((~![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(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(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)))))))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[15249])).
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% 3.23/3.46 inference(modus_ponens,[status(thm)],[15252, 15251])).
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% 3.23/3.46 (~r(s(s(s(s(s(s(z)))))), s(s(s(s(z)))))),
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% 3.23/3.46 tff(15257,plain,((~b(s(s(s(s(z)))), s(s(z)))) | (~b(s(s(z)), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(z)))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(15258,plain,
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% 3.23/3.46 inference(unit_resolution,[status(thm)],[303, 15262])).
% 3.23/3.46 tff(15264,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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(X0, 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(s(s(s(s(s(z)))))), 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)))))))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(15265,plain,
% 3.23/3.46 (((~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), 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(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(z))))), z))) <=> ((~b(s(s(z)), 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))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.23/3.46 inference(rewrite,[status(thm)],[])).
% 3.23/3.46 tff(15266,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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(X0, 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(s(s(s(s(s(z)))))), 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))))))))))),
% 3.23/3.46 inference(monotonicity,[status(thm)],[15265])).
% 3.23/3.46 tff(15267,plain,
% 3.23/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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(X0, 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(s(s(s(s(s(z)))))), 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)))))))))),
% 3.23/3.46 inference(transitivity,[status(thm)],[15266, 15264])).
% 3.23/3.46 tff(15268,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(s(s(s(s(s(z)))))), 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)))),
% 3.23/3.46 inference(quant_inst,[status(thm)],[])).
% 3.23/3.46 tff(15269,plain,
% 3.23/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(s(s(s(s(s(z))))), s(z))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), z)) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.23/3.46 inference(modus_ponens,[status(thm)],[15268, 15267])).
% 3.23/3.46 tff(15270,plain,
% 3.23/3.46 ($false),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[15269, 102, 7981, 15002, 15245, 15263, 14709, 15180])).
% 3.23/3.46 tff(15271,plain,(~b(z, s(s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.46 tff(15272,plain,
% 3.23/3.46 (r(z, s(s(z)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[122, 15271])).
% 3.23/3.46 tff(15273,plain,
% 3.23/3.46 (~r(s(z), s(s(z)))),
% 3.23/3.46 inference(unit_resolution,[status(thm)],[1419, 15189, 15011, 15272])).
% 3.23/3.46 tff(15274,plain,
% 3.23/3.47 (b(s(z), s(s(z)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[698, 15273])).
% 3.23/3.47 tff(15275,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[12727, 15274, 15191, 15002, 15187])).
% 3.23/3.47 tff(15276,plain,(~b(s(z), s(s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(15277,plain,
% 3.23/3.47 (r(s(z), s(s(s(s(s(z))))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[3202, 15276])).
% 3.23/3.47 tff(15278,plain,
% 3.23/3.47 (~r(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[12127, 234, 15182, 15185, 15011])).
% 3.23/3.47 tff(15279,plain,
% 3.23/3.47 (b(s(z), s(s(s(s(s(s(z)))))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[165, 15278])).
% 3.23/3.47 tff(15280,plain,
% 3.23/3.47 (~r(z, s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[2687, 234, 15185, 15182, 15011])).
% 3.23/3.47 tff(15281,plain,
% 3.23/3.47 (b(z, s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[88, 15280])).
% 3.23/3.47 tff(15282,plain,
% 3.23/3.47 (~b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[433, 15281, 14709, 15279])).
% 3.23/3.47 tff(15283,plain,
% 3.23/3.47 (r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[409, 15282])).
% 3.23/3.47 tff(15284,plain,
% 3.23/3.47 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[3887, 15283, 234, 15185, 15277])).
% 3.23/3.47 tff(15285,plain,
% 3.23/3.47 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[232, 15284])).
% 3.23/3.47 tff(15286,plain,
% 3.23/3.47 (~r(s(z), z)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[15063, 15285, 15185, 15182])).
% 3.23/3.47 tff(15287,plain,
% 3.23/3.47 (~r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[4153, 15283, 14718, 15277])).
% 3.23/3.47 tff(15288,plain,
% 3.23/3.47 (b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[303, 15287])).
% 3.23/3.47 tff(15289,plain,
% 3.23/3.47 (~b(s(z), z)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[14442, 15288])).
% 3.23/3.47 tff(15290,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[380, 15289, 15286])).
% 3.23/3.47 tff(15291,plain,(~r(s(s(z)), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(15292,plain,
% 3.23/3.47 (b(s(s(z)), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[195, 15291])).
% 3.23/3.47 tff(15293,plain,
% 3.23/3.47 (~r(s(z), s(s(z)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1419, 59, 15011, 15272])).
% 3.23/3.47 tff(15294,plain,
% 3.23/3.47 (b(s(z), s(s(z)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[698, 15293])).
% 3.23/3.47 tff(15295,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(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)))))))))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(15296,plain,
% 3.23/3.47 (((~b(s(s(z)), s(z))) | (~b(z, 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(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(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.23/3.47 inference(rewrite,[status(thm)],[])).
% 3.23/3.47 tff(15297,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(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))))))))))),
% 3.23/3.47 inference(monotonicity,[status(thm)],[15296])).
% 3.23/3.47 tff(15298,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(z)), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z)))))))))),
% 3.23/3.47 inference(transitivity,[status(thm)],[15297, 15295])).
% 3.23/3.47 tff(15299,plain,
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% 3.23/3.47 inference(quant_inst,[status(thm)],[])).
% 3.23/3.47 tff(15300,plain,
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% 3.23/3.47 inference(modus_ponens,[status(thm)],[15299, 15298])).
% 3.23/3.47 tff(15301,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[15300, 102, 13222, 15002, 15292, 14709, 15180, 382])).
% 3.23/3.47 tff(15302,plain,(~b(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(15303,plain,
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% 3.23/3.47 inference(unit_resolution,[status(thm)],[88, 15302])).
% 3.23/3.47 tff(15304,plain,
% 3.23/3.47 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1930, 59, 15182, 15303])).
% 3.23/3.47 tff(15305,plain,
% 3.23/3.47 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[409, 15304])).
% 3.23/3.47 tff(15306,plain,
% 3.23/3.47 ($false),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[15047, 15305, 15294, 15185, 15182, 59])).
% 3.23/3.47 tff(15307,plain,(~r(s(z), z)), inference(lemma,lemma(discharge,[]))).
% 3.23/3.47 tff(15308,plain,
% 3.23/3.47 (b(s(z), z)),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[380, 15307])).
% 3.23/3.47 tff(15309,plain,
% 3.23/3.47 (~b(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[9792, 15308, 15002, 15180, 15292])).
% 3.23/3.47 tff(15310,plain,
% 3.23/3.47 (r(s(s(s(s(s(z))))), s(s(z)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[1711, 15309])).
% 3.23/3.47 tff(15311,plain,
% 3.23/3.47 (~b(s(s(s(s(s(z))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[14442, 15308])).
% 3.23/3.47 tff(15312,plain,
% 3.23/3.47 (r(s(s(s(s(s(z))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[303, 15311])).
% 3.23/3.47 tff(15313,plain,
% 3.23/3.47 (~r(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[4153, 15312, 14718, 15277])).
% 3.23/3.47 tff(15314,plain,
% 3.23/3.47 (b(s(s(s(s(s(s(z)))))), s(z))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[409, 15313])).
% 3.23/3.47 tff(15315,plain,
% 3.23/3.47 (~b(s(z), s(s(z)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[12727, 15314, 15002, 15292])).
% 3.23/3.47 tff(15316,plain,
% 3.23/3.47 (r(s(z), s(s(z)))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[698, 15315])).
% 3.23/3.47 tff(15317,plain,
% 3.23/3.47 (~r(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[3938, 15316, 15277, 15310])).
% 3.23/3.47 tff(15318,plain,
% 3.23/3.47 (b(s(s(z)), s(s(s(s(s(z))))))),
% 3.23/3.47 inference(unit_resolution,[status(thm)],[232, 15317])).
% 3.23/3.47 tff(15319,plain,
% 3.23/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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)))))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(15320,plain,
% 3.23/3.48 (((~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(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(z)), s(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)))))))))),
% 3.23/3.48 inference(rewrite,[status(thm)],[])).
% 3.23/3.48 tff(15321,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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))))))))))),
% 3.23/3.48 inference(monotonicity,[status(thm)],[15320])).
% 3.23/3.48 tff(15322,plain,
% 3.23/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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(X0, 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(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)))))))))),
% 3.23/3.48 inference(transitivity,[status(thm)],[15321, 15319])).
% 3.23/3.48 tff(15323,plain,
% 3.23/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, 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(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))))))))),
% 3.23/3.48 inference(quant_inst,[status(thm)],[])).
% 3.23/3.48 tff(15324,plain,
% 3.23/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(z))))))) | (~b(s(s(z)), s(s(s(s(s(z))))))) | (~b(s(s(s(s(s(s(z)))))), s(s(z)))) | (~b(s(s(s(s(s(z))))), s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(s(s(z))))))))),
% 3.23/3.48 inference(modus_ponens,[status(thm)],[15323, 15322])).
% 3.23/3.48 tff(15325,plain,
% 3.23/3.48 ($false),
% 3.23/3.48 inference(unit_resolution,[status(thm)],[15324, 102, 13222, 15002, 14709, 15180, 15318])).
% 3.23/3.48 % SZS output end Proof
% 3.23/3.48 % E exiting
%------------------------------------------------------------------------------